diff --git "a/data/dm_maths/full_data_1/2026_11255.jsonl" "b/data/dm_maths/full_data_1/2026_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2026_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r(k) be the third derivative of k**4\/24 + 3*k**2. Let u be r(3). Suppose -u*d + 0*d = 0. Solve d = -0*y - 2*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10081 + -5267. List the prime factors of c.\nAnswer: 2, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*2 - sqrt(13))**2 - 2*sqrt(39)\/sqrt(3).\nAnswer: -2*sqrt(13) + 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -228993.0412 and 239?\nAnswer: 229232.0412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 4:53 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 234 = 242 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 16*h + 162 + h**2 - 16*h. Let r be n(0). Suppose 72 = 2*b + 5*q - 83, -2*b + 2*q + r = 0. What is the highest common divisor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 7:46 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1053))*-6 + 1*sqrt(1053)*3 + sqrt(1053) + -4)*-3 + 3 + -1.\nAnswer: 32 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c*d*j**2 + c*j - 5*c - d*j**3 - 4*d*j**2 - d*j + 4*j**3 - 7*j wrt j?\nAnswer: -2*c*d - 6*d*j - 8*d + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**7\/3780 + j**6\/810 + j**5\/540 - j**4\/54 + 5*j**3\/3 + 17*j**2. Let n(d) be the first derivative of x(d). Solve n(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 52 = 6*y - y, -3*l - 3*y + 39 = 0. Suppose 5*c - l = 7. Suppose -c*h + h + 3 = 4*q, -5*h + 5 = 4*q. Solve 0*v - 2*v + 8 = q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 + -6.16. Let h = 42.185 - 43.185. Put 4, m, h in decreasing order.\nAnswer: 4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q + 6*q - 13 + 8 + 4 to o*q + d and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 233 - 261 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0.7. Let a = -0.41 - -3.81. Let r = a + -3. Sort m, r, -0.1 in decreasing order.\nAnswer: m, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 27*s**3 - 9*s**2 - 7*s - 4. Let l be m(-3). Let k = 2376 + l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77342 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2672 divided by 4\nAnswer: -668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(2 + -1) + 27. Suppose 2*k = 89 - r. What is the greatest common divisor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, 4, -3.9, -430, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 10*d**2 + 2*d. Let y(a) = -2352*a**3 + 36960*a**2 + 7392*a. Calculate 11088*j(g) - 3*y(g).\nAnswer: -4032*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 19524 = -3315. What are the prime factors of z?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(5 + -3 - 3). Let a(d) = 6*d + 5. Let n(u) = -7*u - 6. Give j*n(q) + 6*a(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = 30195*r - 30099*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -9)*(-1)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, q: 1, t: 1, x: 1, u: 2, k: 1}. What is prob of sequence ouku?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpb when three letters picked without replacement from {p: 1, b: 2, r: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -0*l + l, -8 = -2*l. Suppose 4*y - 104 = -4*n, 0 = -b*y - 0*y + 3*n + 32. Let o = 36 - y. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*d + 40 = 2*d, 4*d = 4*n - 52. Suppose -n*p + 65 = -4*p. Suppose -w = 0, -3*t + 2*w - 1 = -p. Calculate the lowest common multiple of 7 and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -486, -454, -364, -186, 110?\n\"Answer: 5*l**3 - l**2 - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62359281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*c - 15 = 0, -l + 5*c + 10 = -14. What is the closest to 0.1 in 0.2, l, -138?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4) + (-14)\/8. Let b be (m - 1)*(-24)\/18. Let h = b - 1. Solve y + 9 = -h*x, -2*y = -3*x + 4*x - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 139?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1173, -1\/10, 4, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -113 - 482. Let a = x + -58. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 107 + 7*v - 107. Let t(z) = z**2. Calculate w(t(s)).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 8. Let q be p(-14). Let u(x) = -x**2 - 29*x - 150. Let y be u(-20). What is the highest common divisor of q and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2905 divided by -581\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 2. Suppose 6*q - 45 = 3. Let u = 29 - q. Solve -4*h = -l + u, -14 - 3 = -o*l - 2*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(-110)\/(-33)*126\/35.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 485 - 218. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(21\/(-36)*(-116)\/406)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -603 - -598. Let v = 0.24 - -0.06. What is the nearest to h in v, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1704 (base 14) to base 12.\nAnswer: -2474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145316 take away 0.29?\nAnswer: 145315.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 0 - (18 - (16 + 35))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 165844278113 from -0.0079.\nAnswer: -165844278113.0079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 1)*117\/(-26). What is the tens digit of (-75)\/h*9\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -17 in decreasing order.\nAnswer: -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*a**2 - 144*a + 154*a**2 + 89*a**2 - 7*a.\nAnswer: 210*a**2 - 151*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 59*a - 760.\nAnswer: -(a - 40)*(a - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -0.7. Let m = 2.6 - 2.1. Which is the nearest to g? (a) -2\/11 (b) m (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -428 - -432.7. Which is bigger: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -112.2 less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -7 - d - 18 + 8 + 2*d**2 + 1. Let s(z) = -6*z**2 + 2*z + 48. Let b(p) = 6*s(p) + 20*y(p). Find a, given that b(a) = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 6514 = 293*h + 8*h + 9711 for h.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -90752 divided by 709?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**4\/13 - 7184*m**3\/13 - 6606622*m**2\/13 - 277815496*m\/13 - 774180696\/13 = 0.\nAnswer: -1774, -41, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 415, -64, -5 in descending order.\nAnswer: 415, -5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 1:56 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 + 25*k - 18. Let r be x(-9). Suppose 26*b - 30*b = r. Solve 3*f - 7*f - 5*i - 14 = 0, -3*i - 6 = b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = 5*t + 3*v, -v = 1. Let g = t + 4. Solve 20 = -g*c - 4*a, -4*c - 25 = 2*a + 3*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62, 41, -3, -36.\nAnswer: -62, -36, -3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -181 divided by 160.\nAnswer: -181\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -1)\/(-2 + (-3 - -8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -3.911, -1, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1445 + -83?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 34.\nAnswer: 3026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -10\/837, -1, 0.7?\nAnswer: -10\/837","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2185699350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -109, -127, -153, -187, -229, -279?\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**3 - 3 - 8 + 5 to the form b + c*s**3 + i*s**2 + x*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12346, -23759, -34236, -43777, -52382, -60051, -66784?\n\"Answer: 468*x**2 - 12817*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r + 1. Let y(o) = 20*o**2 - 49*o + 70. Calculate the remainder when y(2) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a134b3c + 0?\nAnswer: -1a134b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18787 - -18786.6. Let t = -0.07 - 1.93. What is the nearest to 0.66 in i, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:22 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 204.1141 nanometers?\nAnswer: 0.2041141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5 + 132*c**4 + 15604*c**3 + 102278*c**2 - 15603*c - 102410 = 0.\nAnswer: -70, -7, -1, 1, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -151653 - -11252?\nAnswer: -140401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11736\/(-376530) + 4\/(-154).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2730339, -2730352, -2730367, -2730384, -2730403?\nAnswer: -2730424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60569?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1 + 0*d**2 - 16\/21*d**3 + 1\/70*d**5 + 124*d - 1\/7*d**4. Factor f(m).\nAnswer: 2*m*(m - 8)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 8 - 8 = 0. Let r = m - 3. Suppose 0 = -r*j - 20, 3*v - 4*j = -4 + 5. Put 0.2, v, -4 in decreasing order.\nAnswer: 0.2, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07 - -0.03. Which is the closest to 1? (a) w (b) 2\/9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -40 + 53 + -7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 36 = 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10415006209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 12*z**3 - 146*z**2 - 265*z + 6. Let l(n) = -9*n**3 + 148*n**2 + 264*n - 4. Let a(c) = -2*i(c) - 3*l(c). What is the second derivative of a(r) wrt r?\nAnswer: 18*r - 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 393806 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 18919 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -2) + 3 + 155. Let l = x - -485. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*g + 10 = 3*n + 105*g, -2 = n - 6*g for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 13\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 192793 and 194.\nAnswer: 37401842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -827\/4938 + 2\/2469. Which is the closest to -2\/5? (a) 150 (b) y (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*u**3 + 6*b*u**2 + 77*b*u - 1261*u**3 wrt u?\nAnswer: -12*b - 7566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6887379 - 0.1412357. Let m = 0.83 + g. Round m to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -92*o + 95*o - 60 for o.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/146017 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:51 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14001*n + 32779*n + 26453*n + 15449*n + 1502*n**2 - 1500*n**2 + (4*n + 2*n - 5*n)*(-5*n + 6*n + 0*n).\nAnswer: 3*n**2 + 60680*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 64. Let d = -14 - n. Calculate the highest common factor of d and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 3:07 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245894.\nAnswer: 2, 11, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 2*h. Let o(t) = 1. Let b(g) = -4*o(g) - v(g). Does 18 divide b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 5*g + 0*g)*(4 - 1 - 4) - 3*g + g + 4*g - 20*g - 48 + 48 + (28*g - 26*g + 45*g)*(-1 + 3 - 4).\nAnswer: -113*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 74568.06 micrometers in meters?\nAnswer: 0.07456806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 134. What is the closest to -0.2 in 2, 3, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29, 43, 57?\n\"Answer: 14*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 + 10. What is the tens digit of d(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -33, -103, -211, -351, -517, -703, -903, -1111?\n\"Answer: y**3 - 25*y**2 - 2*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189162388 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Let z(q) = q**3 - 4*q**2 + q - 2. Let v be z(x). Sort v, 4, -1 in descending order.\nAnswer: 4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 73*r**2 + 292*r - 228.\nAnswer: (r + 6)*(r + 19)*(3*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(2\/4). Let c be ((-3975)\/(-50))\/(q\/(-6)). What is the tens digit of 1\/4*(c + 31)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-88) + 0\/1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 1 - -4 - (1 + -2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d**2 + 2. Let f(h) = -4*h**2 - 1. Let x(a) = 3*f(a) + 2*s(a). Let y be x(1). Let o = y + 7. Calculate the highest common factor of 18 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.6 + 35730509.4\nAnswer: 35730512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171 - 171 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*b - 3 + 2*b**3 + 113*b - 337*b + 103*b to the form d*b**2 + n + k*b**3 + t*b and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 4)\/140 + 4\/(-10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 4:06 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21 + 23*z - 21 - z + 0*z + 0*z - 2*z + 5 - 5 + 3*z + 0*z - 2*z + (4 + 0 - 2)*(3*z + z - 2*z) - z + z + z + (1 - 1 - 2*z)*(2 - 2 + 1).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 17, 28, 41, 56?\n\"Answer: x**2 + 6*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -4\/7, 89, -2 in descending order.\nAnswer: 89, -4\/7, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 160380 - 52939. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*s. Suppose 3*d - 6*d = s. Find the second derivative of d*q + 2*q**2 + 0*q**2 - 3*q**2 - q wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5*-40*(-8)\/(-144).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*v - 2 - 24, 0 = -3*i - v + 25. Suppose -3 = -r + 4*r - 3*t, -t = -2*r - 4. Let d be i\/(-6)*(r + 1). Let a(q) = q**2 - 6*q + 3. What is a(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9245658 or -9245659?\nAnswer: -9245659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -94, -153, -238, -355, -510?\n\"Answer: -y**3 - 4*y**2 - 20*y - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/15 + (-23)\/21.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745844167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 5*f**2 + 6*f + 2. Let o be l(6). Let m(j) = 2*j**o + 3*j + 5*j - 1 - 8*j. Is m(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -45*n**2 - 130*n + 65. Let x(o) = 4*o**2 + 12*o - 6. Let r(s) = -6*b(s) - 65*x(s). Let q(w) = -4*w**2. Calculate q(r(a)).\nAnswer: -400*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 4:58 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 0*w + 3\/4*w**4 + 0*w**3 + 1\/2*w**2 - 1. What is the second derivative of q(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*d**2 - 305*d**2 + 143*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171*q**5 + q**4 + 6*q**3 + 11608*q**2?\nAnswer: 10260*q**2 + 24*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/64? (a) -0.2 (b) 4\/7 (c) -4 (d) -11150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + sqrt(85)*1)\/sqrt(5) - sqrt(204)\/(sqrt(12) + sqrt(12)*-2).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1052 - -1057. Which is the nearest to -1? (a) 9 (b) k (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*n**4 - 760*n**3 + 2023*n**2 + 1153*n + 150.\nAnswer: -(n - 3)*(n + 50)*(4*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11389 (base 12) to base 14\nAnswer: -854d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 338899.3 tonnes to micrograms.\nAnswer: 338899300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 1, 0.04, -4, 1\/5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 + 30. Let v(l) be the second derivative of 0*l**3 + 2*l + 1\/20*l**5 + 0 + 0*l**2 + 1\/12*l**d. Find the third derivative of v(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**2 + 3*h**2 + 2*h**2 + (-4 + h + 4)*(-3*h - 3*h + 4*h) - h**2 - 2*h**2 + 2*h**2 + 319*h**2 - 29*h - 124 - 331*h**2 + 123.\nAnswer: -12*h**2 - 29*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -260543 (base 7) to base 6\nAnswer: -1011332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*l**3*m**3 - 3*l*m + 11*m**3 wrt l.\nAnswer: 414*l*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -72, -66, -48, -12, 48?\n\"Answer: u**3 - 3*u**2 + 2*u - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*o + t, -3*o + 4*t = o - 28. Suppose 4*c + o*s = 56, -2*s + 32 = -2*c + 4*c. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + -4*6*(sqrt(11) + 0)*-4))**2.\nAnswer: -20736*sqrt(11) + 3649860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(704) + -5.\nAnswer: -5 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((-84)\/(-35) + 2\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -827694.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + 1))*2 + -3*(sqrt(125)*3 + sqrt(125)))**2.\nAnswer: 240*sqrt(5) + 18004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.014, 2\/3, 11\/490?\nAnswer: 11\/490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.559 and -10410240.\nAnswer: -10410244.559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 99922.8 rounded to the nearest 1000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 78 = -5*u, -3016*w - 3*u = -3011*w + 130 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 15 = -3*v, -93*v + 1 = -97*v + r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 493*x**4\/12 - 259*x**2 - 192*x. What is the derivative of n(w) wrt w?\nAnswer: 986*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -25*g**2 - 10*g - 2. Let r(p) = 33*p**2 + 13*p + 3. What is 5*o(w) + 4*r(w)?\nAnswer: 7*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -26 (b) 7 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1322183618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25250645 by -2.\nAnswer: -25250645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -4, 39, -0.7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 23512, 47003, 70492, 93979, 117464, 140947?\n\"Answer: -t**2 + 23494*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {a: 8, y: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -451 + 830. Let s = 382 - j. Solve -4*v - 20 = 3*c + v, -16 = s*c + 4*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/162 and 71\/1084824?\nAnswer: 9763416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**16\/w*w**(-1\/5))**(-41))**(-43))**10 assuming w is positive.\nAnswer: w**260924","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -10. Which is the nearest to 0.03? (a) 1 (b) 4\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1101100000100100?\nAnswer: 1101100000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -9426.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h. Suppose 0 = -4*k - 3*z + 16, -3*k - k - 4*z + 16 = 0. Let j(r) = 0*r**2 + r**2 - 4*r**2 + k*r**2. Give j(l(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19922975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25785684872 rounded to 4 dps?\nAnswer: -0.2579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**3 + 1. Suppose -i = -14 + 12. Let w be 105\/(-63) + i\/3. What is l(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/6 + 7*i**3\/6 + i**2\/2 - i. Let k(m) = -m**3 + 25*m**2 - 48*m + 52. Let w be k(23). Is a(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.4 and -31899.\nAnswer: -108456.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**4 - 24*n**3 + 39*n**2 - 18*n = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 9:18 AM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*c - 200 = 3*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35685*t**4*x - 6*t**4 - t**3*x + 8*t**3 - 1829*t**2*x + 1221*t**2 - 2*x - 2 wrt t.\nAnswer: -856440*t*x - 144*t - 6*x + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 533\/2 - 265. Which is the closest to -0.1? (a) -3 (b) 0.5 (c) 6\/13 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -50039355, -100078683, -150118011, -200157339, -250196667?\n\"Answer: -50039328*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-7))\/((24\/(-28))\/3). Suppose -j*l + 114 = -p, p = -2*l - 0*p + 110. Calculate the greatest common divisor of l and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 8844710*n - 8844716*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 406 and 5.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -930 + 2469. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80*l**2 + 7072 + 53*l**2 + 13*l**2 + 207*l - 2769 + 16*l**2 wrt l?\nAnswer: 4*l + 207","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1242 divided by -6?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 72*j + 57*j + 19*j - j - 4*j + 2*j.\nAnswer: j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -140, -141, -142?\n\"Answer: -m - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 33, 34, 35, 36, 37?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3d4328 + -314?\nAnswer: 3d4014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(1\/2)\/w)\/w*w)\/w)\/((w*w**(2\/3))\/w))\/(w**6*w\/((w*w*w**(3\/5))\/w)*w*w) assuming w is positive.\nAnswer: w**(-287\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(2\/6 - 10\/(-60)). Let o be (-3 - -2)\/((-215)\/55 + 4). What is the second biggest value in 1\/4, y, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*l**2 - 59*c**3*l + 140*c**2*l**2 - 3*c*l**2 wrt c?\nAnswer: -12*l**2 - 354*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/999? (a) 0.9 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeleeleeeeeleeeeele. What is prob of picking 4 e?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {j: 1, l: 14, d: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-1 + (14 - 18) + 5 - 89).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757004.66 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*k)*(-2*k - 2*k + 0*k)*(0*k + 3*k - 7*k - 2)*(k + k - 3*k).\nAnswer: -32*k**4 - 16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(55\/10 + -1). Let f be 6\/(-4)*(-456)\/b. Let y = f + -73. Put y, 1, -3 in descending order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -196*r + 980. Let x be z(5). Let n(h) be the first derivative of x*h + 11 + 1\/2*h**2. Let u(c) = -5*c. Give n(u(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 1. Let h be q\/(-9) + (-8)\/(-6). Let -h + 4\/3*o + 2*o**2 = 0. Calculate o.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 12 - 23. Suppose -2*b = m - 15. What is the least common multiple of 9 and b?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1076 or -5841?\nAnswer: -5841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -40 + 29 - -62 - 23?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let b(s) = -s**2 - 2*s - 4. Let q(p) = -b(p) + 6*c(p). Let y be q(3). Is y greater than 4\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246379 = 5*f - 5*j - 97734, 4*f = 5*j - 118912. Let q = 1308339\/44 + f. Let i = -353\/20 - -2719\/160. Calculate the common denominator of i and q.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q - 654 - 656 + 1310.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 1, -4, -47, -2, 0 in decreasing order.\nAnswer: 27, 1, 0, -2, -4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 398 + 7.49741612.\nAnswer: 405.49741612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r + 1. Suppose 6*s - 12 - 6 = 0. Let m be p(s). Suppose 2*t - z = m, 9*z - 4*z - 46 = -3*t. Solve -2*h + t = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 34. Suppose -3*a + 120 = 2*z, -a = u*a - z - 187. Suppose -169 = -3*y + a. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1673*o - 13401. Let r be z(-8). Let b(u) = u**2 + 6*u - 40. What is b(r)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 82438*b*k**3 - 4*b*k**2 - 2805*b*k wrt k.\nAnswer: 494628*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9185*m + 7023. Let i(o) = -27554*o - 21014. Let q(j) = 3*i(j) + 8*n(j). What is the derivative of q(y) wrt y?\nAnswer: -9182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 320 = -5*f, -f - 37 = -5*b + 43. Let q be 4 + ((-4)\/(-6) - f\/18). Solve -7*j + q*j - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65358, -130706, -196054, -261402?\nAnswer: -326750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 0)\/1 - -1. Solve p = -b - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 49*i = -47*i + 179, 38*y - 809 = 15*y + 2*i for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -110522500 to the nearest one million.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**5\/20 + o**4\/3 - o**3\/3 - 19*o. Let f be l(3). Suppose -63 = -f*g + 42. What are the prime factors of g?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = v - 109, -v + 830*b - 833*b + 29 = 0 for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 4*o - 24, -c + 5 + 10 = -2*o. Suppose 19*p = c*p + 40. Suppose 2*n - f - 297 = 0, 0*n - p*n + 615 = 5*f. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1859*j - 2426 wrt j.\nAnswer: -1859","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556972.\nAnswer: 2, 13, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2355 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6274 - 6255. Solve -o = 18*o + n for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 82. Let b = 1.6 - 1.7. What is the biggest value in b, -6, g, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -302\/47, -2, -5, 4, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*w - 2 = -4*w, 10 = 5*w. Let l = -12 + 20. Let q be l\/(-20) - 34\/(-10). Solve j = -q*g + 8*g - 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -97 times -26238\nAnswer: 2545086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -89.9496. Let g = 0.3299 + t. What is g rounded to two dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 41 = 9*g, -39*t + g - 3 = -41*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -0.04672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 - 53. Let u(f) = -f**3 + 4*f**2 - 5*f + 3. What is u(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -34, -120, -282, -544, -930, -1464?\nAnswer: -2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 - 17 = 0, -4*n = -4*y + 20. What is the second smallest value in 8, y, 4, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 153 - 4?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2042204 - 4?\nAnswer: 2042200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.6 and -0.1.\nAnswer: -5.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3595*x + 14 - 14 + 18 - 1.\nAnswer: -3595*x + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 7. Let q(d) = -u*d**2 - 2 - 6*d + d**2 + 3*d**2 - 3*d**2. Let g be q(-5). Solve -5*a - 7 = -4*z + 5*z, 5*a - g*z + 19 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101110100111101100 (base 2) to base 12.\nAnswer: 2a5ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/14)\/(12\/(-14) - 0\/332)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -231992\/9 + 25586. Let f = q + 1111\/6. What is the common denominator of f and 11\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(55)\/(sqrt(35)\/sqrt(7)) + -1*sqrt(352)\/sqrt(8))**2.\nAnswer: -6*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 339 (b) -3\/4 (c) 4599\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/1165 or -1?\nAnswer: 2\/1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/49017 and -65\/2256.\nAnswer: 36860784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -3*x + x + 446, 82 = a + 4*x. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8*p**2. Let r(l) = l**2. Let o = -3 - -2. Let s(m) = 32*m**2 - 11*m**2 - 19*m**2. Let h(q) = o*s(q) + 3*r(q). Calculate h(g(y)).\nAnswer: 64*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.63 - -26765\nAnswer: 26763.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/54? (a) -5 (b) 0.31 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (-3*sqrt(5)*1)**2) + (sqrt(10)*-3)\/sqrt(2).\nAnswer: -45 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1778024 is divided by 444506.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/15 - 2067\/(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 44*l + 793. Let w be y(-6). Calculate the highest common factor of 115 and w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1468257 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by 1051?\nAnswer: -246\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1 + 9 - (19 - 23) and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0)**12\/(s**(-1\/2))**48)**(-21))**(2\/61) assuming s is positive.\nAnswer: s**(-1008\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1277 + e0?\nAnswer: 1367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -1\/8, 2, 16212.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5070.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3\/5 - 252*c**2\/5 = 0. Calculate c.\nAnswer: 0, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.913, 55, -0.1, 2\/7, -5 in descending order.\nAnswer: 55, 2\/7, -0.1, -0.913, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 1 + 4 = -j, g + 4*j = -5. Let a be (24\/28)\/g + (-822)\/(-14). Let n = a - 25. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*i - 5 - 27*i**2 + 12 - 4 as w*i + m + y*i**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the third derivative of 1\/3*t**3 - 3*t**2 + 0*t + 0 + 5\/24*t**4. Differentiate h(j) wrt j.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (320\/24)\/(10\/15). Suppose f*m + 19 = -21. Let w = 1987\/6 - 332. Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w - 5. Let d be 6\/(0 + (-3)\/(-4)). Let h be x(d). What is the third biggest value in h, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211 (base 3) to base 9.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 3*h**2 - 6*h + 20. Let b be q(3). Solve -5*m - 1 = b*w, 5*m + 0 + 7 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 2*a + 107, 2*x - 5*a - 53 = 0. Let h be 72\/x + 4\/26. Solve 2*k = -h - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-5) + 1\/5. Let a = 0.4 + -0.05. Let j = a + 0.05. What is the nearest to z in 4, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/14 - (-1261)\/1358.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide -6 - -3 - (-8 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 11:12 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 98, -1, 257, -14, -2, 1 in ascending order.\nAnswer: -14, -2, -1, 1, 98, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1604*h - 1605*h + 4*m - 23, 2*h = 3*m - 16 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 75. Let t(a) = 10*a**2 + 3*a - 2. Let b be t(r). Let v(s) = s + 3. What is the tens digit of v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36014, 71869, 107724, 143579, 179434, 215289?\n\"Answer: 35855*u + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93124.0593 + -93114. What is s rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, l: 7}. What is prob of picking 3 l?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -93276\nAnswer: -1\/15546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1650 + 7. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * -46260\nAnswer: -106398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 17 = 25. Calculate the smallest common multiple of 4 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 0.5.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/65)\/(22\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7025 - 5983. Calculate the remainder when r is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72889 - -0.4.\nAnswer: 72889.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367525800 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - q. Suppose -22*w = -17*w. Suppose 28*m + 12 - 68 = w. Let k(a) = 6*a**2 + 5*a - 1. Calculate m*k(x) + 11*r(x).\nAnswer: x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9 + 2*o + 6*o - 3*o**3 - o**2 - 17*o**2 - 5*o + 9*o**2.\nAnswer: -3*(o - 1)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 136 = -5*c + 6*n, c = 5*n + 23. What is the least common multiple of c and 1?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 18*r - 13. Let u be c(-10). Suppose -4*f = 185 + u. Let w = 82 + f. What is the remainder when 32 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 23 = -l, -6*l + 5*l - 17 = 2*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (47 + -27 - 60).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23800 and 2199596?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 - 45*a**2 + 44*a + 75. Calculate the least common multiple of 102 and g(44).\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12609 and 659871?\nAnswer: 1979613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 752 = -3*x + 67, -4*v + 5*x + 548 = 0. What is the remainder when v is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -376.81 times -0.1\nAnswer: 37.681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*d - 66*d - 48*n = -1532, -130 = 2*d - 4*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -48)*33\/440?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 43.558 (b) 0.0894 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/7 (b) 38 (c) 3 (d) 0.04 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-294)*(-3)\/2. Let y = -983\/588 - a. Is y at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4260523 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: a2b7 (base 12) to base 5\nAnswer: 1031312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:06 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/327, 69, 3, 0.3.\nAnswer: -14\/327, 0.3, 3, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -805391 divided by -8303.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g**3 - 3*g**2 + 17*g - 39. Let l(j) = -14*j**3 - 6*j**2 + 36*j - 74. Calculate -4*l(b) + 9*t(b).\nAnswer: 2*b**3 - 3*b**2 + 9*b - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 221*f**2 - 2*f + 118. What are the prime factors of v(19)?\nAnswer: 79861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/13 + 4*f**3\/13 - 14*f**2\/13 - 40*f\/13 - 24\/13 = 0 for f.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*j + 35*c*v**2 - 34*j*v**2 + 3*j wrt c.\nAnswer: -2*j + 35*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 255208, 510493, 765778?\n\"Answer: 255285*i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 243*y - 281 + 570 - 289 - y**2 in the form v*y + o*y**2 + z and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 != 31030?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7952 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqf when three letters picked without replacement from fqfqf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -51*p**2 - 639*p - 324. Determine m(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -148859802 divided by 39\nAnswer: -3816918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qgg when three letters picked without replacement from {b: 1, q: 1, g: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 945\/588*6\/45?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - 1.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 177 = 3*b, 2*y - 7*y + 4*b + 299 = 0. Let p = y - 65. Let t be ((-1)\/p)\/(7\/56). Solve -t*x = -9*x - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*m**2*p**3 + 67*h*m**2*p - h*m - m**2*p**3 + 3*m*p**3 + 4*m wrt m.\nAnswer: 2*h*p**3 + 134*h*p - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249943188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000102045 rounded to six dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:29 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 70, -1469 in ascending order.\nAnswer: -1469, -4, 1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 523*c**5 - 5*c**4 + 18*c**2 + 1612160*c.\nAnswer: 10460*c**3 - 60*c**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 88567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 9 (c) 34 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -45*t**5 - 240*t**2 + 34*t - 174*t**4 - 10 - 16*t**4 - 119*t - 310*t**3 = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 9) in base 3?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*y + 4*y. Calculate the remainder when 53 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01545 to 4 dps.\nAnswer: 0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a = 0. Let w = -3 + a. Sort w, 0, -2.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 12*d**2 + 259*d + 82. What are the prime factors of r(-63)?\nAnswer: 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 2\/5 (c) -299 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -2*g - 3*g, -8 = -4*a - g. Let v = 7 + -5. Let h(w) = 2 + 3*w**2 - 4*w**v + 2*w**a + 5*w. Calculate h(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60999341?\nAnswer: 13, 4692257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -ab1 (base 16) to base 9\nAnswer: -3671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*j - d, j = -3*j - 4*d - 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 60*d**3 + 135*d**2 + 20*d - 180.\nAnswer: 5*(d - 9)*(d - 2)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3337.859738 rounded to the nearest 100?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 8 = r, -3*r - 25 = 2*r - 5*g. Let b = r + 2. Let y = 12 - b. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9720 and 21?\nAnswer: 68040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, f: 11}. What is prob of picking 1 i and 2 f?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 9 + 6 - 4*y)*(-21 - 14 - 10).\nAnswer: 180*y - 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -474, -994, -1536, -2100, -2686, -3294, -3924?\n\"Answer: -11*p**2 - 487*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n, -3*m + 1 = -3*n - 2. Suppose 35*q - 37*q + 14 = m. Let x(c) = -c + 3. Calculate x(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - (-5 + (sqrt(2057) - sqrt(2057)*1)) - 6*(sqrt(2057) + 0 + sqrt(2057)))*-2)**2.\nAnswer: -4840*sqrt(17) + 995688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 260, 110, -844, -3004, -6772, -12550, -20740, -31744?\n\"Answer: -67*b**3 + 319*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2803593, -0.1, -3\/7?\nAnswer: 2803593","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 0. Let n = -0.183 - -18.383. Let h = n + -18. Sort h, 1\/8, f in descending order.\nAnswer: f, h, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.36253798 to three dps.\nAnswer: -9.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -59, -133, -301, -599, -1063?\nAnswer: -1729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8176 rounded to 0 decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69987633 is divided by 41.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 8*m. Let c be x(-1). Let t(a) = 4*a - 8. Let o(i) = -18*i + 5. Let b(k) = 13*k - 5. Let j(r) = 3*b(r) + 2*o(r). Give c*j(g) + 5*t(g).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 924 and 1056?\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37084 - -37354. What is the highest common factor of b and 738?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822225?\nAnswer: 3, 5, 19, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2) - 1)\/(13\/(-1677)). Let v = n + -82. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.75, -1.3, 242, 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)\/sqrt(4) + (sqrt(13) + -2)*5 - (sqrt(117) + 6*sqrt(117)*2 + sqrt(117))\/(sqrt(9) - (-4*sqrt(81) - sqrt(9))).\nAnswer: -10 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + l + 2*l + 77 = 0, -113 = 3*p + 5*l. Let f = 1600045\/36 - 44442. Calculate the common denominator of (p\/759)\/((-16)\/78) and f.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2 - (4 + 2)). Let f = 139 - 135. Suppose 4 = -4*u, 2*u + 13 = -2*p - u. What is the third smallest value in p, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g**2 - 5*g. Let n = 14798 + -14799. Let q(s) = s**2. Determine n*h(r) - 2*q(r).\nAnswer: 7*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*j + 59715 + 9900 = j. Is j greater than -828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + 2*a**2 + 0*a**2 - 3*a**3 + 16*a**3 - 5. Let b(v) = 20*v**3 + 8*v**2 - 8. Let y(x) = -5*b(x) + 8*z(x). Determine p, given that y(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/21 and 0 + 74\/(-15) - (-6)\/(-6).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from {u: 4, n: 2, p: 1, w: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7740 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:20 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 29 + 18 = 5*q, 0 = -2*q + 2*l - 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 433*k = 243*k + 248*k - 174. Let 6*r**2 - 36*r - 1\/3*r**k + 72 = 0. Calculate r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 28 = -2*d - 0*d, 5*d - 5*j + 75 = 0. Which is smaller: d or -1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -2.1460221.\nAnswer: -1.7460221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4395)\/(-45)*(2 - -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*b - 92, -2*b = 2*v - 27 - 13. Suppose 2*c + v - 33 = 0. What is the highest common factor of 56 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 - 504*b**3 - 186170*b - 1?\nAnswer: 24*b**2 - 3024*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 d, and 1 l when three letters picked without replacement from djlfe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -206\/5 + 10063\/240. Find the common denominator of x and (-1)\/(-3)*16353\/(-2528).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2541490?\nAnswer: 2, 5, 7, 36307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -440*y**5 - 1108*y**4 + 3060*y**3 + 10396*y**2 + 6788*y + 120 = 0.\nAnswer: -5\/2, -2, -1, -1\/55, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6409 times -63.9\nAnswer: -409535.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 281, 0, -3 in descending order.\nAnswer: 281, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -41410 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/842352 and 83\/8050.\nAnswer: 21058800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2556487843 and -0.4.\nAnswer: -2556487843.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183875\/48 - 7659\/2. Calculate the common denominator of 6\/(-40)*22400\/(-2304) and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 18. Suppose 0 = 3*w + 2*p + 5, 5 - x = 3*w - 2*p. Let g(c) = -12*c. Give g(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 68397105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*u - 79*u = 5*k + 35, 0 = 5*k - 2*u + 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 7*o = -2*o, -56 = -4*x - 4*o for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -5*q - 274. Suppose -3 = 4*h + 1, -2*m - 325 = -3*h. Let j = q - m. Calculate the greatest common divisor of j and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 266 + -262. What is the remainder when 10 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*x = -35 + 10, i - 5*x + 32 = 0. Let r(m) = -9*m + 1. Let f(c) = 10*c - 1. Let a(y) = 6*f(y) + 7*r(y). Let z be a(-1). Which is smaller: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 2*h + 2*h - n + 21, h = 2*n + 13158 - 13174 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9967 + 0.0033. What is the second smallest value in t, -0.1, -3, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -246837*n + 246822*n + 285 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33 - 24 - 76)*(-3*q + 0 + 0)*(-3 + 0 + 1).\nAnswer: -402*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -2668, -6002, -10660, -16636, -23924?\nAnswer: -32518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 731 + 255 = 0. Suppose d - 255 = -2*d. Suppose -g = -4*u + d. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o + 120 = -31*o - 8*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 3*t**3 + t**3 + 10 + 3*t**3 - t**2 to the form w*t**3 + r*t**2 + m + n*t and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(6\/7)*k**(-2\/9))\/(k**(2\/7))**40 assuming k is positive.\nAnswer: k**(-617\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + a = -0*a + 16, d = 5*a - 2. Let i(g) = -3*g - 10 + 8*g**2 + 3*g**3 - 11*g**d + 3*g**3 + 6*g**3. List the prime factors of i(-7).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**2 + 3*p - 3. Let i be j(1). Suppose -y = 0, i = a - 4*y + 4. Let w = a + 19. Calculate the remainder when 40 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 12*j = 208728. List the prime factors of j.\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 701*s**2 + 6*s - 27. Is o(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 21*i**4 + 14*i**2 - 7. Let s(f) = -7*f**4 - 5*f**2 + 2. Let z(w) = -7*s(w) - 2*v(w). What is the third derivative of z(t) wrt t?\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420485593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5835 - 93327\/16. Find the common denominator of x and -15\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.7, -2, 2, -0.3 in increasing order.\nAnswer: -2, -0.3, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmzmmmz. Give prob of picking 2 z and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than 52217903?\nAnswer: 52217893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.009? (a) 84 (b) -0.2 (c) 36 (d) -3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.371 + -3.629. Which is the nearest to -3\/8? (a) -1 (b) h (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143114 - -143114.0073251. Round d to four dps.\nAnswer: 0.0073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*j + 8270 = 2294. Solve -128 + 380 = -j*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, q: 1}. Give prob of sequence cqg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -21824.56 rounded to the nearest 10?\nAnswer: -21820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.12 - -0.12. What is the smallest value in 0.3, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94\/95 in 60, 2, 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 + 562352*k**2 - 12931980*k.\nAnswer: -4*k*(k - 140565)*(k - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176169913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -51798.19 less than -3?\nAnswer: 51795.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*((-2*p + 0*p + 0*p)*(-3 + 2 + 3) - 2*p + 4*p + 0*p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 11. Let p(a) = 2249*a + 11418. Let b(i) = 1038*l(i) + p(i). Let n(r) = -6 + 3 + 3 + 2*r. Calculate b(n(t)).\nAnswer: 346*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3032 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16101 is divided by 213.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1649812 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 3*o. Let q be b(0). Solve -14*d + 9*d + 5 = q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(297) + sqrt(297)*-1 + sqrt(297) - sqrt(297))*3)\/(sqrt(110)\/sqrt(90) - -2*sqrt(11)*-4) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20095289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -102 and -110680?\nAnswer: 11289360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 - ((-4 - 8) + 1 + 9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, 50 in descending order.\nAnswer: 50, 7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 8993.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -24*y**3 - 4*y**2 + 14*y - 24. Let l be 4 - 4\/16*4. Let n(v) = -v**3 + 5 - 3*v + v**2 + 6*v**3 + 0*v**3. Determine l*i(t) + 14*n(t).\nAnswer: -2*t**3 + 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 3*q**5 + 35550*q**4 - 4053219*q**3 + 26771958*q**2 - 14790084*q - 45650808 = 0.\nAnswer: -11963, -1, 2, 6, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, g: 1, r: 2, z: 1, l: 1}. What is prob of sequence sz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -9524?\nAnswer: -9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7223, -14414, -21587, -28742, -35879, -42998, -50099?\nAnswer: -57182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-7) - 22\/77. Suppose -s*b + 12 = -12. Let i be (-4)\/((-5)\/(-5)) - -4. Solve 2*w + 20 = -b*y, i = 5*w - 2*w - 2*y - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssx when three letters picked without replacement from {o: 2, y: 9, x: 3, s: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, 0.5, -2, 11, 176167, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g*g**14\/g*g)\/g*g**14*g*g**14*g**(-6))**(-31))**(-2\/121) assuming g is positive.\nAnswer: g**(2356\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 16*z**2 + 33*z + 8. Give a(18).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -41.8535466868 + -170\nAnswer: -211.8535466868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.383 * -5.\nAnswer: 1.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.208 + 25.838. What is f rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-223.6.\nAnswer: 44.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 4*t - 7. Let m(q) = -2*q**2 - 2*q - 1. Let k be m(-2). Let c be y(k). Let l = 92.9 + -93. Sort 0.2, c, l.\nAnswer: c, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 42*b**2 - 3*b - 117. What is the remainder when 20 is divided by k(-42)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*m = 16*m + 110*m - 7*m + 25116 for m.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-48963)\/(-38))\/(20\/(-16) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = 4*l - 2, 4*m - 25 = l. Let f = m - 1. Suppose -7*p + 465 = -f*p. What is the greatest common factor of 31 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**4\/12 + 4*j**2. Let y(d) be the third derivative of -d**5\/15 - 7*d**2. Give q(y(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l. Let w(y) = 386*y - 14. Determine f(w(d)).\nAnswer: -9650*d + 350","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*(-1)\/(1\/26). Let l be (g\/24)\/((-4)\/(-2)). Are l and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-2) - (5 - 1). Let k be (-4)\/8*(g - 1). What is the greatest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence we when two letters picked without replacement from wewegwgwiwewiiwwe?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8)*(-124)\/93?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35516, -71040, -106564?\nAnswer: -142088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4030400 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546?\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*w - 139*x + 630 = -137*x, 0 = -2*w - 4*x + 204 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 25020604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13221)\/(-540))\/13*10*-6?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982.4787 hours to microseconds.\nAnswer: 3536923320000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 9:16 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -826, -1650, -2476, -3304?\n\"Answer: -t**2 - 821*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - z - 2*z - 121, 234 = 2*a - 2*z. Let q = a + -110. Suppose -3*o + 2*j + 443 = 0, q*j - 755 = -8*o + 3*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(-13)*v*v*v\/v**(-17\/5) assuming v is positive.\nAnswer: v**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97998*j + j**3 - 3 + 3 - 97998*j.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 8:48 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -390 - -1214. Suppose 2*x = -2*c + 820, 2*x + y = 2*c - 0*x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4392 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -42*v - 305. Let o be z(-11). Is o at least 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by (63 - (16 - 12)) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 greater than -123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6069 + -5590. Which is smaller: d or 473?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -5. Let j = -0.004 + 0.004. Let t = -26\/7 + 73\/14. Which is the nearest to j? (a) t (b) v (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -787\/3 or -522?\nAnswer: -787\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-16)\/168*-7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5452*i**2 - 17*i + 18. Does 41 divide y(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {u: 3, a: 2, j: 6, w: 2, z: 5, l: 1}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2 - 10*v + 3. Let t = 164 + -172. Let f(m) = 14*m**2 - 15*m + 4. Let q(u) = t*o(u) + 5*f(u). Let n(g) = g - 1. Give 5*n(x) - q(x).\nAnswer: 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 642482117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(143) + 2*sqrt(143)*-5 + sqrt(143))\/((sqrt(55) + sqrt(55)*-1)\/sqrt(5) + sqrt(11)))**2.\nAnswer: 4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2\/3 - 129943288*n\/3 - 43314428 = 0 for n.\nAnswer: -32485821, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 2*w + 21. Suppose 21 = 8*x - w*x. What is the greatest common factor of 168 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 56 + 166 = 0 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188 divided by -2.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**(-6\/17)*g**(4\/11))**(1\/5) assuming g is positive.\nAnswer: g**(508\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3482, -10391, -17300, -24209, -31118, -38027?\n\"Answer: -6909*a + 3427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 182. What is v(34)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 10*r)*(r**2 - r**2 - 2*r**3 + 2) + 0 - 2*r**4 + 0 + (-2 + 3 + 4)*(-3*r**4 - r**4 + 0*r**4) as u*r**2 + v*r**3 + p*r + z*r**4 + x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3516501*l + 116892. Let f(j) = -3250*j - 108. Let k(d) = -3247*f(d) - 3*p(d). Let w(o) = -2*o**2. Give k(w(a)).\nAnswer: -6494*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 4 (c) -4.4 (d) 2 (e) 3 (f) 295\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*o = -92, 0*o = -4*c + 5*o + 132. Calculate the remainder when 6\/(-2)*c\/(-6) is divided by (-144)\/(-14) - 12\/42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (-11 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide ((-1)\/(3\/3))\/(7 + 9466\/(-1352))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.5 (c) -8237\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*s + 2*s + 8. Suppose -s*h = 4*h - 252. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/24 - (-9)\/54. Let u be (-1 + h)*(-2)\/4*-2. Calculate the remainder when (161 - 2)\/(1 - (0 + u)) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 145*t**3 - 5*t**2 - 1 - 6*t + 144*t**3. Let x be r(-6). Sort -0.01, 6, x, 3.\nAnswer: x, -0.01, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/4129, 0, -0.2, 44\/3?\nAnswer: 2\/4129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 163*l**3 + 210*l**2 - 1111*l**2 - 49*l**3 + 227*l**3 wrt l.\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(27\/((-27)\/(-2)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1586 divided by 793\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 6:29 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -360, -821, -1478, -2337?\nAnswer: -3404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192360113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-2 - (0 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0*u - 2*u + 3)*(2*u + 2*u + 0*u)*(-5*u - u + 3*u).\nAnswer: 24*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 + 3411?\nAnswer: 3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 - -73. Suppose -4*n - 5*d = -91 - 10, -4*n + 131 = -5*d. Calculate the greatest common factor of n and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-2) - (-309)\/312. Let y = p + -201\/728. Are y and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(800) + sqrt(32))*6*-3 + 4 + (5*sqrt(2)*-1 + sqrt(2) - (sqrt(8)\/sqrt(4) + 4)) + -1)**2.\nAnswer: 63802*sqrt(2) + 387267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 6583?\nAnswer: 18\/6583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 580 = -2*c, 12*c - 5*x + 1455 = 17*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - (1591\/333 + 6\/27). Find s, given that 10*s - 1\/2*s**4 + 7\/2*s**2 - s**3 + w = 0.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1792 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 + 5*f - 9. Let s(x) be the second derivative of -x**4\/6 - x**3\/3 + 2*x**2 + 16*x - 34. Suppose 0 = -3*n - 0 - 12. Determine n*j(r) - 9*s(r).\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4792*v**3 + 20*v**2 - 5*v - 5. Let o(g) = 2290578*g**3 - 9564*g**2 + 2391*g + 2391. Calculate 2391*l(p) + 5*o(p).\nAnswer: -4782*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 10:17 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01864306 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - y + 4*y - y - 2*y + (0*y - y - y)*(4 - 3 + 1) - 2*y + 2 - 2 + (-y - y + 3*y)*(-4 - 2 + 5).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(16))\/sqrt(8) - (-5*sqrt(10)\/sqrt(5) - sqrt(2)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006573 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p**3 + p**3 + 3*p**3)*(13 + 7 + 2 - 33 + 13) to n*p**2 + c*p + s*p**3 + l and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-five quarters of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*l**3 - 6*l - 11354*l**4 + 24*l**3 + 11259*l**4 - 2*l**2 + 6*l to the form h*l + w*l**2 + j*l**3 + d*l**4 + k and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147498)\/(-244))\/(-93) - ((-30)\/8)\/5?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2689*u**3 - u**2 + 471.\nAnswer: 16134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 14 = -3*o, 99 = -4*o + 5*b + 78 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34279596\/(-1224624) + 2\/(-248).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 154136904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110111 - -20012200?\nAnswer: 102200011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1567842 and 2469012.\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14767, 59068, 132903, 236278, 369199?\n\"Answer: k**3 + 14761*k**2 + 11*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 - 25*c**2 - 65*c - 31. Let v(b) = -30*b**3 + 150*b**2 + 390*b + 185. Let a(p) = -25*j(p) - 4*v(p). Solve a(r) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q**2 - q + 1. Let s be x(-6). Let l = 932 - s. List the prime factors of l.\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - t + 10 = 0, -5*c + 2*t + 9 = 3. Suppose -4*i + 2*i - c = -2*a, 2*i - 10 = -4*a. Let v be 5550*(20\/(-3))\/i. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/343 + 347\/686. Which is bigger: h or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2 = g, -3*g = 3*d + 1 - 13. Suppose -g*u - u - 4*l = -96, -5*l = -u. Let a(c) = c**3 + c**2 + 5. Let y be a(0). Solve -u = y*q - 0*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 1. Let r(g) = 4*g**2 + 8*g + 5. Suppose l + 2*c = -0*l + 9, -4*c - 7 = -3*l. Let t(y) = l*b(y) - r(y). Find the second derivative of t(f) wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 10 = -3*h, 0 = 3*q + 3*h - 4 + 13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*n - 24*n - 26*n - 23*n.\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 12, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from xxwabbxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3185 is divided by 1889?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k - 1. Let c(y) = -105975*y + 275. Let r(w) = 2*c(w) + 550*q(w). Let x be r(4). What is x rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143222463 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1143 - -1287. What is the least common multiple of c and 204?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*f**4 + 4*f**4 - f**4)*(-1 + 9 - 48) as w*f**3 + o + b*f**2 + v*f + u*f**4 and give u.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72 - -77. Let c(h) = -8*h**2 + q*h**2 - 20*h**2. Let m(k) = -2*k**2. Give m(c(w)).\nAnswer: -1058*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 31?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1628 - 824. Is p a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1462199847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -44*a - 39. Calculate i(0).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 723, 724, 725, 726, 727, 728?\nAnswer: 729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 + (-3)\/9. Let j(p) = -p**2 + 3*p - 2. Let u be j(2). Is u at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**4\/2 + 9*s**3 - 40*s**2 + 48*s = 0?\nAnswer: 0, 2, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (55\/(-7) + 7)\/((-1)\/7). Let g be (b + -5)\/(3\/21). Solve -3 = 4*t - g*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z - 2. Let n be -12*(-3)\/(10 - 1). Let q(x) = -2*x + 3. Calculate n*q(o) + 5*d(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - x - 1. Let v be w(-1). Let j(d) = d**3 - d. Let m(y) = y + 1. Let k(z) = -j(z) - m(z). Let n(a) = -a**3 + a - 3. Calculate v*k(t) + n(t).\nAnswer: 2*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1521 - 0.0521. Which is the nearest to k? (a) 1 (b) 4 (c) -2 (d) -3\/61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/42 - 1\/(-7). Let y be 1 + -348 - (z + 3). What are the prime factors of (-2)\/3 + y\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 8*u + 11. Let y = -748 - -753. Let s(x) = x**3 + 4*x + 5. Give y*s(w) - 2*n(w).\nAnswer: w**3 + 4*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, 28, 93, 214, 409, 696?\n\"Answer: 3*c**3 + c**2 + 3*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 2:45 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36633 + -36629. Solve -f + 7 = v*l, 9*f - 5*f - 9 = 3*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -20, -2*u + 4644 = 5*d - 6*u. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/3 (b) 407\/108 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1249, 18, 5 in descending order.\nAnswer: 18, 5, 4, -1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -68*h**2 + 31*h + 15. Let c(q) = -5*q - 2. Give 6*c(m) + x(m).\nAnswer: -68*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**11\/f))*f**(5\/8)*f)\/(f*(f**(-26)*f)\/f)**(-32))**31 assuming f is positive.\nAnswer: f**(-195517\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlo when three letters picked without replacement from nnwolnnw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3594 is divided by 1781?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = -17*c - 54 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0 + 0)*(-600 + 600 + 68*g**4) + 7*g**4 - 5*g**5 - 3*g**5 + 7*g**5.\nAnswer: 67*g**5 + 7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 195*x - 19126. Calculate q(98).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 20*o**3 - 28*o**2 + 12*o.\nAnswer: -4*o*(o - 3)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:17 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 100, 231, 414, 649, 936, 1275?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -772 - -4?\nAnswer: -76d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**2\/8 - 451*g\/8 = 0 for g.\nAnswer: 0, 451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*c**2 + 1145*c**2 + 3 + 3*c**3 + 1021*c**2 + 3*c.\nAnswer: 3*c**3 + 1413*c**2 + 3*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, i: 13}. Give prob of sequence io.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -16, 0 in decreasing order.\nAnswer: 2, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2774*x - 3530*x - 3236*x.\nAnswer: -9540*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*q**2 - 4*q - 738.\nAnswer: -64*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 253*i**2 + 23*i - 46. Let g(p) = -23*p**2 - 2*p + 4. Give 2*b(a) + 23*g(a).\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*a = o - 9, 0 = 4*o - a + 6. Sort o, -594, -5, 11 in descending order.\nAnswer: 11, o, -5, -594","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34121 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 + -139. Suppose 291 = 3*w + 8*v - 11*v, 6*v = -2*w + 210. Let k = d + w. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 201 + -197. What is the second derivative of 3*v**2 - 16*v**4 + 35*v**r + 10 + v - 4*v - 28*v**4 wrt v?\nAnswer: -108*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**13*q)\/q*q**(2\/7))\/(q\/q**(-4)*q*q**(-2\/45)\/q))**(-19) assuming q is positive.\nAnswer: q**(-49856\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(20) + sqrt(80)*-2 + -2 + (sqrt(140)\/sqrt(7))**2.\nAnswer: -6*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + p - 6 = -26*y, 5*p - 16 = -y. Let r = 30 - 25. Which is the nearest to 1? (a) y (b) 1\/4 (c) r (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-9)*1\/((-56)\/42)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -2*n**3 + 46*n**2 + 48*n = 0?\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 24, 8, -14, -42, -76?\n\"Answer: -3*m**2 - m + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -30. What is the smallest common multiple of t and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-9\/4))**(3\/14) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 103725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (8\/4)\/(((-36)\/3)\/12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26281?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 8 - (-2 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -800346260 divided by -160069252.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89917066 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 8:07 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*o = 78*o - 91*o + 5406 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 401652959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24.1 - -24. Put 0.7, n, 5 in decreasing order.\nAnswer: 5, 0.7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 6*j + 4*j - 4 - j**2 - 2. Let m be i(6). Suppose 19 = 2*q + 2*a - 21, q = -5*a + m. Solve -3*c - c = -4*d - 28, 3*d - q = -5*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 + -20?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/5 + (-3)\/(-5). Let j(l) = s + 1 + l**3 + 0*l**3 - 3. Give j(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -31*u**3\/3 - 3*u**2 - 7*u + 13. Let k be h(-2). Let y = -79 - k. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(-1 + sqrt(3200) + 3)*4)**2.\nAnswer: -615168 - 30720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 85033*0.1\nAnswer: 8503.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-3)\/(3\/2). Suppose -5*s + 18 - 8 = 0. Which is bigger: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and -175077.\nAnswer: -175087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*g - 3440 = -785*g - 17925 - 32345 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341594 is divided by 170796.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l + 108. Suppose l*u + 149 = 554. Solve u = -2*k + 19 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/18*(-20)\/(-200)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 979 - 1053.7. Round a to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/3*18\/15. Solve g = -3*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-33) - (-25)\/(-3). Let g = -5 - f. Suppose -2*s - 3*j = -5302, g*j + 16 = -j. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewglm. Give prob of sequence eewm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 170 = 0. Calculate the smallest common multiple of 4 and c.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let v(m) = -253*m + 3 + 128*m + 129*m. What is -n(i) - v(i)?\nAnswer: -3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -4) + (1 - (-5 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 734353 to the power of 1\/3, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3))**(-47))**(-49)*(r\/(r\/(r\/(r**5*r*r))*r)*r\/r**(-2\/5))\/(r*r**(-1))**15 assuming r is positive.\nAnswer: r**(11431\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -20. Suppose 4*a + 4*n = -i, 5*a + 20 = 2*n - 6*n. Which is smaller: a or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -0.1, -10, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*o + 9*o + 124*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 11 - 7)*(-4*p + 6*p - 4*p + (0 + 3 - 1)*(-p - 2*p + 2*p)).\nAnswer: -120*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 - 126 = 2*a - 4*p - 52, -29034 = 421*a + 3*p for a.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -1063*q - 37. Is r(-1) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26608 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68558 = 854*d - 847*d. Is 9793 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 26*z**2 + 2*z - 56. Let w be v(26). Which is the nearest to -7? (a) -2\/11 (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1234527*g**3*q**3 + 170*g*q - 36602*q**3 wrt g.\nAnswer: -7407162*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 5)*(3 + 0 - 2) + 226 - 495 - 509 + (-2 + 2 + 1)*(3 + 3 - 5))*(c + 0*c - 2*c).\nAnswer: 776*c","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 82\/14 - (276\/(-21) + 13). Let v(u) = -20*u**2 + 11*u - 26. Let w(q) = 7*q**2 - 4*q + 9. What is y*v(a) + 17*w(a)?\nAnswer: -a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-13268.\nAnswer: 1326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 662394323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 1\/3 (c) 1.6 (d) 1 (e) -0.47 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.15901 - 0.15901. Let q = 71\/45 - 16\/9. What is the closest to q in -1, v, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 14*v - 2. Give p(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 5*d**2 - 7*d + 6. Let t be p(3). Let v be (1 - 1)\/((-7)\/((-56)\/t)). Which is the nearest to v? (a) -0.3 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/4)\/((-1)\/((60\/(-18))\/10))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*n + 7998 = 121*n. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -720 by -24.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.759 + 443.159. What is x rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (2 - 3)) + 14 + -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 287 a factor of 1093393945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5 = -4. What is the tens digit of -14*(-4)\/(-12)*d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5 - 74906*o**4 + 3490612*o**3 - 38178008*o**2 - 62207616*o + 57420288 = 0. What is o?\nAnswer: -2, 2\/3, 24, 24922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 85544854\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1994745 and 1118181?\nAnswer: 5619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*b = -9218, 8803 = 5*k - b - 6583. Does 38 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6)*6\/(-4). Let k = 1 - -2. Let a = 3 - -8. Solve -3*h + g - 9 = 0, 0 = h - u*h + k*g - a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 12:09 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/731 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 10:31 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/10 of a kilometer?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -38 + -12b488c?\nAnswer: -12b48c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17309 - 21920 - 58969 = -1156*w for w.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 11*m**5\/5 - 108*m**4\/5 - 416*m**3\/5 - 98*m**2 - 219*m\/5 - 26\/5 = 0.\nAnswer: -1, -2\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/36588, -0.4, -4, 12 in descending order.\nAnswer: 12, 1\/36588, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/225 and 42\/943925.\nAnswer: 8495325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/3, 1\/7, 0.9, -0.1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190305954.\nAnswer: 2, 3, 10572553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/10, -4, 1\/7, -1 in decreasing order.\nAnswer: 10, 1\/7, 1\/10, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(g - 2*g - g) + 0*g + 2*g - 3*g + 2*g + 3 - 3 + 2*g - 4*g + 3*g + 338*g - 167*g - 156*g - 1.\nAnswer: 19*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 17367, 106, 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2738 by 5.\nAnswer: 2738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 n when three letters picked without replacement from qnqunqn.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -1 + (-34 - (25 - (-16 - -24))).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a + 2. Let n = -1 - a. Let f = 0.095 + -0.095. What is the closest to -1\/4 in f, -1, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273 divided by 257453?\nAnswer: 39\/36779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 35*d + 101*d - 33*d - 28*d.\nAnswer: 5*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -43 - 4a37b0?\nAnswer: -4a3813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 - 27*c**2 - 8*c**2 + (c - 3*c + c)*(0 + 0 + 2*c).\nAnswer: -33*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(4400))\/(sqrt(4) - 2*sqrt(576)))**2 + (-4*sqrt(539))**2 + (sqrt(55)\/sqrt(5) + sqrt(11))*2.\nAnswer: 4*sqrt(11) + 4563196\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27\/12 - 1\/4. Suppose 2*t - 3 = -3*j - 1, g*t - 2 = 3*j. What is the least common multiple of 5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 + 0*o**2 + 2*o**2 + (-1 - 3 + 6)*(2*o**2 - 7*o**2 + 3*o**2) - o**2 + 0*o**2 + 0*o**2)*(4*o - 2*o - o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74000577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505751183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/67430 and 101\/494.\nAnswer: 16655210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 - 2 + 10 - 3 - 7 to a*k**2 + i*k + h and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + t - 1. Let i(p) = -4*p**2 - p + 3. Let g(n) = 3*i(n) + 5*x(n). Let q(u) = 3*u - 3*u**2 - 4 + 5 + 4. Calculate -4*g(y) + 3*q(y).\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l - 93 = 0. Suppose 0 = 4*z + 16, 0*z + l = -5*d + 3*z. What are the prime factors of 6\/(-21) + (-258)\/d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*-1 - (0 - -14). Calculate the remainder when n*(-1 + 1\/2) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v. Let j(q) = -133840*q. Give x(j(z)).\nAnswer: 267680*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 134 + 233)*(0*l - l + 2*l).\nAnswer: 230*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a. Let w(s) = -4*s - 789. Give w(t(p)).\nAnswer: 16*p - 789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 31 = 4*a + 14, 0 = 5*a + 5*y - 25. Solve -a = -2*l, -n - 3*l + 2*l = -7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 8. Let j(c) = -10*c - 167. Let l be j(-16). Calculate m(l).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.0225 (b) 9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1\/12, 0, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:33 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 4*q. Suppose 0 = 11*s + 2*s - 351. Suppose s*n + 22 = -59. Determine x(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62467535 divided by 3287765?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9247715*a**2 + 25292124*a?\nAnswer: 18495430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 5. Let n = 14 - z. Suppose 0 = 76*s - 147*s + 213. Solve 2*r = 5*m - 15, -n = 3*r - 6*r - s*m for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b - 5*b + 2*b + 9*b + 6. Let c be s(3). Suppose c = 5*p - 200. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 707\/98 + (-3)\/14. Let g(t) be the first derivative of -11\/4*t**4 + 7\/3*t**3 + 0*t + 0*t**2 - v. Find the third derivative of g(q) wrt q.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + 5.2. Let g = 0.6 + -0.1. Let q(o) = 4*o**2 + 42*o - 128. Let x be q(-13). Which is the smallest value? (a) x (b) 1 (c) g (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hbucbbpcccpc. Give prob of sequence pppb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 2. Let x(b) = b**3 + 10*b**2 - 11*b - 6. Let g = -8 - 3. Let u be x(g). Let q be l(u). Solve -m - d - 3 - 2 = 0, -5*m - 2*d - q = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/37)\/((s*s\/(s\/(s\/(s*s**(2\/57)*s)*s)))\/s*s))\/(s*s**(-29))**(6\/19) assuming s is positive.\nAnswer: s**(16499\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from bmbbhmb.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 18 + 10. Let z(k) = p*k**2 + 4*k + 2*k - 3*k**2 + k - 9. Calculate z(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 9. Let b = -245695 + 245667. What is the fourth smallest value in -3, -1\/5, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**3 - 19*g**2 - g. Suppose 18 = 6*i - i + i. Give w(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-15) + (6\/5 - -2). Suppose -2*f = -o + 6, p*o - 8 = -f - 2. Solve 4 = -a, o*y - 5*a - 8 = 2 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 1 = 2. Let s(i) = -i**3 - 4*i**2 - 4*i - 4. Let p be s(l). Is -37*-1*(p + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.645226 - 327569.645226. Let t = -327602.0017 - j. Let y = t + 33. Round y to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l. Let n(z) = -221 + 291 - 4083*z - 70. Give n(r(f)).\nAnswer: 8166*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 1. Let x = -10 - -14. Let p = x + -1. Let n be m(p). Are -4 and n unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 6*d**4\/7 - 10*d**3\/7 + 2*d**2\/7 + 2*d\/7 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, d: 1, l: 6}. Give prob of sequence ltt.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 3145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*s - 0*s + 15005, s + a = 5000. Suppose 4*n - s = -5*m, 5*n + 3*m = 2*n + 3756. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 976330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1718630 is divided by 1431.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189602.\nAnswer: 2, 7, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (0 + (130 - 134 - (-1 + -8) - 4)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 + 654*m**2 + 1398*m - 26981. What is a(329)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552541572 a multiple of 1419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {z: 3, f: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) -215 (c) 0.3 (d) 3 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 7*u**2 - 6*u - 18. Determine p(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/73 (b) 3 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**8\/5040 + f**7\/1260 + f**3\/2 + 3*f**2. Let b(s) be the first derivative of j(s). Factor b(a).\nAnswer: a**3*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171353\/22 - 7787. Let d = f + -48\/55. Calculate the common denominator of (-1 + -2)*18\/(-7) and d.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i. Let j(c) = -13*c. Let b(t) = -4*j(t) + 18*x(t). Let d(y) = y + 1. Let n(a) = 6*a + 10. Let u(s) = -10*d(s) + n(s). Calculate b(u(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8915, 35695, 80329, 142817?\nAnswer: 223159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = i - 10, 2*x + 8 = 2*i + 4. Let f be i\/(2*3\/(-15)). Let k(m) = m**2 - 4*m - 1. What is the units digit of k(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -30*w**2 + 40*w - 39. Give i(1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -73 + 65 + 1*3440. Let j = 5351 - r. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(-5)*i))**16 assuming i is positive.\nAnswer: i**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 - 53. Let b(n) = n**2 - 6*n + 7. Let z be b(o). Let p(m) = 2*m**3 - 7*m**2 + 6*m - 17. Is p(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -2\/7 (b) -13 (c) 5 (d) -400.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47342 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -154388*k**3 + 216*k**2 + 268*k wrt k?\nAnswer: -926328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -329, -332, -335, -338?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13319 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 62 = -2*k, -2*k - 606*b = -602*b - 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 9*j**2 + 8*j + 11. Determine q(9).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -450.48088 times -13?\nAnswer: 5856.25144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/(-702) - 44\/(-198)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -562, -1096, -1818, -2722, -3802, -5052, -6466?\nAnswer: -8038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*v)*(4 - 1 + 0)*(12 - 2 + 2)*(4 - 2 + 1 + (-2 + 2 + 2)*(0 + 2 + 1)).\nAnswer: 648*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 13b6800?\nAnswer: -13b6809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 5334*d**3 - d**2 - 2*d + 2. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2557 = 28*x + 4835. Let u be 3\/2*(-1508)\/(-6). Let f = u + x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 361 + -340. Suppose -3*d + 452 - 140 = 0. Calculate the remainder when d is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189795559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3185, 29\/5, 97?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2068 divide 18950780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -155 - -164. Solve -3*k - 12 = -p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 10c6?\nAnswer: -10c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.3. Do 0.6 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 7 = -2*o - 22, -3*o = -5*n + 31. Let c = -7 - o. Solve q - c = -0*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72\/5 of a century?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/(o*(o\/((((o**(-3\/11)\/o)\/o)\/o)\/o*o))\/o))*o*o**(-1\/2)*o*o*o**(-3)*o**(1\/4) assuming o is positive.\nAnswer: o**(177\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79340*f**2 - 99886*f**2 - 7246*f**2 - 5915*f**2 - 23325*f**2.\nAnswer: -215712*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + t - 6549 = 0, 2*b + 2*b - 8748 = 4*t. Is (b\/(-20))\/(1\/(-5)) a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.76 - 44.06. Let w = 12 + -8. What is the closest to w in z, -3\/2, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 733 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 divided by -4?\nAnswer: -577\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -579 + 866. Let o be (-3)\/(-4) + l\/28. Suppose 0 + 2 = -2*s, -5*s + 61 = 3*x. Calculate the highest common divisor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 5\/87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3 + c**2 - 2*c. Let j = 44 + -45. Let f(s) = s. What is j*r(b) + 4*f(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*i - 110 = 38. Sort -9, -25, i in descending order.\nAnswer: i, -9, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 400\/24*501\/(-835).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from vvvvvvgvvggvvvvvvv.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5670)\/(-1215)*(-6)\/49. Let z = -0.02 + 0.1. Let g = -2 + 1. Which is the second biggest value? (a) z (b) g (c) j (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2427, -197, -0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 145, 116, 87, 58?\n\"Answer: -29*n + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 6293\nAnswer: -50344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 9:14 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -51*t**2 + 24. Let s(l) = 274*l**2 - 129. Let r(j) = 8*s(j) + 43*u(j). Let q(z) = 1 - 1 + 59*z. Determine r(q(f)).\nAnswer: -3481*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -87*t + 42411*t**2 + 87*t - 42412*t**2. Let q(s) = 132*s + 6. Determine q(x(v)).\nAnswer: -132*v**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((60\/(-18))\/5)\/(16\/30)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*f + 1358 - 50753 = 371*f for f.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -12*v + 21. What is c(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9623 is divided by 153.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 12.69?\nAnswer: -12.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -5. What is the common denominator of (-32 + 1)*b\/(-44) and (20 - (-1197)\/(-72))\/((-6)\/(-7))?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(171\/84 - 2). Suppose -5*z + 5 = 0, -3*p + 0*z + m = -4*z. Suppose 2*y - p = 2*n, -4*y + 3*n + 0*n + 35 = 0. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.189 - 0.30152. What is w rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4\/(-16)*-4 + 0. Suppose n*k - 7*k = 5*m + 5, -3*m + k = -14. Solve 2*z = m*j - 3*z - 17, -4*z = 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let i = 69.61 - 0.61. Let x = -66 + i. Put 9, x, s in increasing order.\nAnswer: s, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/27)\/(x**(2\/29)*x))\/((x*(x\/(x\/(x**(5\/2)\/x)))\/x*x)\/(x\/(x*x**(-1\/22)))))**(-5) assuming x is positive.\nAnswer: x**(148550\/8613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d - 18379*d**2 + 5 + 6 + 18375*d**2 as f*d + k*d**2 + t and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116 a factor of 275273353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - u**2 - 2*u + (5*u - 2*u - u)*(7*u - 2*u - 3*u) + u**2 - u**2 + 2*u**2 + (-5*u - 3*u + 2*u)*(-2*u + 0 + 0).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*m + m. Solve -4*n - m = -1 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 330671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*x**2 - 6*x + 6*x + 40*x**2.\nAnswer: 187*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3\/19 - 22*k**2\/19 - 2*k - 18\/19 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 253*i**4\/12 + 56*i**2 + 28*i - 1. Differentiate l(f) with respect to f.\nAnswer: 506*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -2*g - 312. Suppose 0 = i - 14 + g. Solve -i*u - q + 2 = 3*u, u = 4*q + 13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + 80. Calculate the remainder when q is divided by 80.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 476777046 to the nearest 10000.\nAnswer: 476780000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 25 = 5*a, -5*a + 2*v + 284 = 309 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 3*w**3 + 6*w**2 - 6*w**2 + 0*w**3 + 1 as h*w**2 + b + d*w**3 + q*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130.05267 + -0.01267. Let q = 2.04 - m. Let f = 128.00000057 + q. What is f rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 5289*l**3 + 1058*l**2.\nAnswer: -l**2*(l - 1058)*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 8 = 4*y, c + 91 = 5*y + 81 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1982280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 73 and 66 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19439375 times -0.4?\nAnswer: 7775750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1940658?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 3, 2, 3625, -4, -1 in ascending order.\nAnswer: -4, -1, 1, 2, 3, 4, 3625","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mms when three letters picked without replacement from {m: 10, s: 9}?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 37 and -5?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130962 is divided by 145?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h - 88*h**3 - 7*h**2 - 26*h**2 - 6*h**2 + 39*h**2 + 0*h**2.\nAnswer: -88*h**3 - 24*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7205797 + -4?\nAnswer: 7205793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -357, -363, -383, -423, -489, -587, -723, -903?\nAnswer: -1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (144\/(-15))\/(219\/(-27740)) a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -3506509?\nAnswer: 6\/3506509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s + 302 = 36*s - j, 2*s = -4*j + 112. Solve 18*b - s = -150 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in -0.026, 0.3, 106\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2717, 0, 3 in descending order.\nAnswer: 2717, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**4\/4 - 18*s - 8. Find the first derivative of o(a) wrt a.\nAnswer: 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 61*m - 24*m = 33*m - 48, 5*m - 115 = -10*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.46 - -6.46. Which is the third biggest value? (a) 0.5 (b) t (c) 1 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*i - 5641 = 150*i - 1780 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8249.855ns?\nAnswer: 0.008249855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -146245 to the nearest 100.\nAnswer: -146200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9.5? (a) 2\/17 (b) -4 (c) 0.05 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38587465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1.72 * 200718\nAnswer: 345234.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1990*c**2*f**3*j**3 - c**2*f**3 - 13*c**2*f*j**3 + 48*c**2*j**2 + 7109*c**2 wrt j?\nAnswer: -11940*c**2*f**3 - 78*c**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 336 = 9*h + 5*p, 2*p = -5*h + 798. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 3385435 in ascending order.\nAnswer: -3, 4, 3385435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a + 8. Suppose -a*u + 335 = -1883. Suppose 2*x = x - 1, 2*p - 3*x - u = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-2)\/(-12)*0. Put -10, 2, 1, s in ascending order.\nAnswer: -10, s, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -369 - -129. Let k = h - -240.0000245. Round k to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 9*q - 12. Suppose 0 = -0*l - l, 5*l = q*r - 6. Suppose 15 = -y - 5*d, 6*y + r*d = 2*y - 6. Put 3, 5, 1, y in ascending order.\nAnswer: y, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 308\/21 + 1 - 1\/(-3). Suppose -8*q + 4*q = -l. Solve -1 = -q*s - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-3 + 1 + 4)*(270*r - 1579100 + 1579100) in the form j*r + a and give j.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y. Let z(m) = -3431*m**2. What is j(z(s))?\nAnswer: 6862*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 305827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130915927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004200242 to 4 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -153242 (base 7) to base 3\nAnswer: -1112002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 5314265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 48 + -3026\/63. Suppose -60 = 3*t + 12*t. Let g be ((-3)\/9*0)\/t. Which is greater: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 14. What is the remainder when 31 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21)\/9)\/((-38)\/5565594) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28745 is divided by 9540?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 3. Let o = 26 - 4. Let y = 18 - o. Put 0.1, y, u in decreasing order.\nAnswer: u, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 0*u**3 - u**3)*(-6*u + 2*u - u) + 1984 - 1984 + 167*u**4.\nAnswer: 177*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 4*k + k + 14, -16 = 4*k. Let l be (0 - t)*1 - 3. Let m = l - -7. Solve f - m + 5 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 223311*o\/2 + 111655.\nAnswer: (o - 223310)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from vvvvvvvvvvvvvvovvvvv?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 9:50 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/(-676))\/(15\/(-2240)) - -4. Let q = -8929\/1183 - t. Let p = -5260 - -105257\/20. What is the common denominator of p and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*t**2*w**2 - t**2*w + 48*t*w - 7*w**5 wrt w.\nAnswer: 44*t**2 - 140*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -1071?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of p**7\/35 - 29*p**6\/40 + 897*p**5\/160 - 203*p**4\/32 + 49*p**3\/16 + 3*p**2 - 12. Factor q(h).\nAnswer: 3*(h - 7)**2*(4*h - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49655*y**6 - y**5 + 294*y**2 - 3*y - 35.\nAnswer: -5958600*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (5*3*sqrt(209) + sqrt(209) - sqrt(209)))\/(sqrt(176)*2).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4*((-30)\/21)\/2)\/((-6156)\/70) and -70\/2223.\nAnswer: 20007","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 435*w - 251. Is h(15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/20 - 5*n**4\/12 - n**3\/2 + 4*n**2 - 4*n. Is 31 a factor of z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*t + t. Suppose -t*q - 2*q + 35 = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 2:01 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2, 0.14, 6, -2.692?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 14 (c) -1\/9 (d) -1 (e) -22\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16347 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 greater than -9543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2089 + 2086. What is the biggest value in 0.2, f, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525858113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*((y\/(y\/y**(-4)))\/y)\/y))\/y)**(-29) assuming y is positive.\nAnswer: y**(-116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49485 by 5.\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(190)\/(sqrt(30)\/(sqrt(9)\/sqrt(3))) + ((sqrt(133) + (sqrt(133) - 5*sqrt(133)*1))\/sqrt(7))**2).\nAnswer: -513 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.098 - 0.202. Let z = 2 + -3. What is the closest to z in -1\/2, g, -3\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2183 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10041*p + 3351*p + 3334*p - 16 + 3336*p to y + f*p and give y.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 94330501 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 43, 44, 45, 46, 47?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5148\/180)\/((-3328)\/14080).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 33, 4, -3, -11 in increasing order.\nAnswer: -11, -5, -3, 4, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20409.6911 * -4.\nAnswer: 81638.7644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/9 - 1\/3. Suppose u + t + 27 = 3*j, -53 = -3*j + 4*u. Calculate the smallest common multiple of j and 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + 5 + sqrt(425)*-3 + sqrt(425) - (sqrt(425) + 2 + 3 + 2)))**2.\nAnswer: -2160*sqrt(17) + 137844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3\/58 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4276914*v**2 - 8904258 with respect to v.\nAnswer: -8553828*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 3a1b?\nAnswer: -3a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, w: 17}. Give prob of picking 2 p.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/950 and -62\/660055.\nAnswer: 125410450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/2 - (-27 - -4 - 1). Let k(i) = i**2 + 53*i - 353. Let o be k(-59). Sort f, 0, o in ascending order.\nAnswer: 0, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.41 - -8.91. Which is the smallest value? (a) m (b) 4 (c) 1\/46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxf when three letters picked without replacement from {q: 10, f: 6, x: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from wggbbgbgbbgbgg?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10)*190\/38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2323569 + 1279*d**2 + 2323569)*(-2 + d**2 + 2) to q*d**2 + f*d + l*d**3 + b*d**4 + k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004079623 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n - 2. Let g(j) = 445 - 446 - 2*j + 5*j. Let i be g(n). Put -4, i, -1 in decreasing order.\nAnswer: i, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28654 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000440497 rounded to six decimal places?\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4 + 1 + 5\/20. Suppose -n - 2*f - 9 = m, 5*f - 2*f + 15 = 0. Let l(d) = 7100*d**2 - 2*d + 2. Let t be l(n). What is t rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 3*n**2 + 4*n + 1. Let u be ((-8)\/20)\/(1\/(-10)). Let s be m(u). Find the first derivative of 2 - s + a**3 - 2*a**3 wrt a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*o + 11*o**3 + 7*o**3 + 3*o + (-1 + 1 + o)*(2*o**2 - 2 - o**2 + 4) to y*o**3 + r + h*o + x*o**2 and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 6, -40, 0.2, -1, -12 in decreasing order.\nAnswer: 6, 0.2, -2\/3, -1, -12, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 11*n - 3*m = 10*n - 28, -5*m + 9 = n + 2 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-13) + 536\/104. Let q be 20\/6*(-30)\/25. Let t(b) = -3*b - 1. Let w(n) = -4*n - 1. Let z(u) = q*w(u) + 5*t(u). Give z(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u + 5. Let f be -1 - (12 - (3 + u)). Let g be (-1146)\/f + (-6)\/33. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8292.129 weeks in nanoseconds?\nAnswer: 5015079619200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 0*w**2 + 0*w**2)*(2*w - 2*w + w**2) + 0*w**4 + w**4 - 2*w**4 + (-w + 2*w**3 + w)*(2*w + 2 - 2).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/2240 and 47\/4781920.\nAnswer: 66946880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + 15*n**2 + 51*n + 124. Calculate m(18).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and 0.057604?\nAnswer: -0.00115208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22435 is divided by 295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*a**3 + 8 - 8)*(-40*a - 21 - 20 - 14 - 14 + 54).\nAnswer: 560*a**4 + 210*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1129\/414 - -110\/23. Find the common denominator of 14 - 10 - (-111)\/30 and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 5*p**2 + p + 1. Let w(q) = 25*q**4 - 24*q**2 - 852*q - 6. Let v(n) = -6*u(n) - w(n). Find the second derivative of v(y) wrt y.\nAnswer: -300*y**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/29488 and 33\/29488.\nAnswer: 29488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(264)\/(sqrt(144)\/(sqrt(60)\/sqrt(5))))\/((sqrt(1458) - sqrt(1458)*-2)\/sqrt(9)).\nAnswer: sqrt(11)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-1)\/(-6) + 354\/(-2070)). Let z = y - 151. Suppose -7*h + 100 = -2*h. What is the remainder when z is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117008.\nAnswer: 2, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5\/13 - 662382*n**4\/13 + 73125648028*n**3\/13 - 207005584235824*n**2 + 620977378122816*n - 413977418885888 = 0.\nAnswer: 1, 2, 110396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 397 + -396. Solve 0*z + z = -o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)*a*a*a)\/a)**(-38)\/(a**1)**(-12) assuming a is positive.\nAnswer: a**(-372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54.3 + 0.42.\nAnswer: 54.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7779?\nAnswer: 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1 - 3 - 7*d**2 + 2*d - 8 + d**3. Let b be y(7). Suppose b*j = -3*i + 62, 0*j + j = -2*i + 13. Does 13 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 3\/11, 1\/2, 0.3, 22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ellelpllplbllele. What is prob of picking 2 p and 2 e?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 32 (b) -3\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104312 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 412087?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 93*m + 0 + 143*m - 421*m - 6.\nAnswer: -185*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*u + 941, 23*t + 2*u + 374 = 25*t. What is the remainder when 142 is divided by (-2 - t\/(-10)) + 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 3*o - 4*c - 273, -o = 4*c - 71. Is 18 a factor of (-5 - -7) + -1 + o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 37. Solve l = 2*y, 0 + 15 = -3*j - 4*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -103 - ((-34 - 51) + 51).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285110 and 2170.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 696 and 7577468?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 2*y - 3*u - 232, 3*y + 3*u = 363. Let o = y + -116. Suppose -3*d + 36 = -3*q + 6, -o*q = 2*d - 15. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b + 6 = 0. Let z be (0 - 0)*b\/(-4). Suppose -2*q - 4*u + 2 + z = 0, u = -1. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -72\/7, -2\/617, -4, -6 in ascending order.\nAnswer: -72\/7, -6, -4, -2\/617, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 10:37 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 14) to base 16\nAnswer: b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132585491.\nAnswer: 1409, 94099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 12 = -2*v. Let j(s) = -37 + 36 - 18*s**2 + 9*s**2 + 3*s + 10*s**2. Determine j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5*m**2 + 9)*(1 - m - 1).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1584)*-2 + 2 + sqrt(1584) - ((-1 + sqrt(1584) - sqrt(1584)) + -4 + -2))**2.\nAnswer: -312*sqrt(11) + 1753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5500000 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**5\/20 + a**4\/2 + 7*a**3\/6 + 11*a**2\/2 + 180*a. What is k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244*z - 110*z - 527*z + 180*z.\nAnswer: -701*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30553\/1911 + 16. Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -618, -1279, -1944, -2613, -3286?\n\"Answer: -2*n**2 - 655*n + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5 - 51894*t**4 + 336597456*t**3 + 336649352*t**2.\nAnswer: 2*t**2*(t - 12974)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:55 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/30 + 27*c**5\/10 - 41*c**4\/12 - c**2 + 93. Determine g, given that m(g) = 0.\nAnswer: -41, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 2*n + 4. Let l = -52 + 57. Suppose 3*o - 35 = -l. What is the remainder when w(-3) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -304*i**2 + 132*i. Let u(k) = -k**2 + 3*k. Let m(n) = 14*u(n) + 2*z(n). What is the second derivative of m(w) wrt w?\nAnswer: -1244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*u - 2*g + 51, -5*u - g = -48. Which is the second smallest value? (a) -0.2 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b43c (base 15) to base 13.\nAnswer: -314b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/17))**(1\/50)*(h\/(h*h*h**(9\/2)*h))\/h*h*((h*h**(-1\/19)*h)\/h)\/h assuming h is positive.\nAnswer: h**(-105863\/16150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1745 (base 8) to base 10\nAnswer: -997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57573*g**4 - 300*g**2 - 19*g + 1.\nAnswer: 1381752*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.9 + -6.6. Let o = 94.5 + h. Is 6 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 - ((0 + 13 + -2 - (-123 + 146)) + 25)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 12) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 + t + 8. Let z = -24 + 16. Let b be d(z). Let r be b\/(-1) - 2\/(-1). Solve 0 = 3*j + r*j - 5*a + 20, -5*j + 2*a - 17 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 12550510*q**2 - 19689431483264*q - 59068181495256.\nAnswer: -2*(q + 3)*(q + 3137626)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 + 985*r**2 - 985*r**2.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 118570861709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.654 - 0.254. Sort 5, p, 1\/8.\nAnswer: 1\/8, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 12:07 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2081*r**5 + 2096*r?\nAnswer: 41620*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-597)\/180 + 0 + 21\/((-105)\/(-10)). Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 15 - 6 + 21*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -314, -1118, -2332, -3854, -5582, -7414?\nAnswer: -9248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -1080472?\nAnswer: -1080472.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -7. Let x be ((-4)\/(-2))\/8 + 2\/(-40). Which is the third biggest value? (a) x (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 37653876?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 494*l**2 + 31*l + 6. Let v(a) = -492*a**2 - 30*a - 9. Let b(w) = -3*v(w) - 4*z(w). What is the second derivative of b(c) wrt c?\nAnswer: -1000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -23, -2, 3, 1, -4 in ascending order.\nAnswer: -23, -6, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 18. Suppose 0 = 5*f - u, 0 = -f - 7*u + x*u + 26. Let d be (f - (0 + 0)) + -19. Are d and -17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.1 times 26742.1\nAnswer: -216611.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 6*b)*(3*b**2 - b**3 - 7*b**3 + 2*b**3).\nAnswer: 36*b**4 - 18*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c - 39*c + 544 = 0. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 6:06 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2024829371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 865029218 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**4 + 4*q**3 + 4*q**2 - 3. Let k(b) = 5*b**4 - 3*b**3 - 3*b**2 + 2. Let v(x) = 4*k(x) + 3*u(x). Differentiate v(l) with respect to l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 times -135?\nAnswer: -7560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*j**5 + 4526*j**3 - 170919*j**2 wrt j.\nAnswer: -960*j**2 + 27156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/9*60\/(-40)*1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let c be 87*(-8)\/2880 - (-51)\/136. What is the closest to z in c, -12, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Suppose -9 + 3 = -r*x. Solve 7*m = x*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/5)\/(153\/2805)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 13*t + 3. Suppose 0*b = -4*b - 24. Let r be a(b). Suppose s + 27 = 4*s. What is the greatest common divisor of s and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvqqlllqlvsslqnlln. What is prob of picking 2 n and 1 v?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 7:50 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7221397.\nAnswer: 179, 40343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.83 - 4.43. What is the nearest to 2 in 0.009, r, 2\/17?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60.7047 + 60.7633518. Let c = v - 0.0587. Round c to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 208*i**2 - 3076*i - 719. Give j(-192).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7 and -22027.\nAnswer: -22034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 5*z**6\/6 - 14*z**5 + 365*z**4\/4 - 280*z**3 + 360*z**2 - 11. Factor h(y).\nAnswer: 5*y*(y - 4)**2*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 5*m - 2*t, t = 5*m - 0 - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 42.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -188 - -433. Suppose -22*o = 27*o - g. Solve m = -3*r - 4, 5*m + 5*r + 15 = o for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**5\/60 - o**3\/6 + 2*o**2. Let d(m) = 14*m**2 - 12. Calculate -d(l) + 12*z(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 10, x: 3}. Give prob of sequence cxx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-15)*111\/(-74). Let v = -681 + -124. Are v and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(187)*-1 + sqrt(187))*1 - 2*sqrt(187)*1)*3)\/((sqrt(264)\/(sqrt(12) - sqrt(12)*-3))\/(sqrt(8) - -3*sqrt(8))))**2.\nAnswer: 626688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -892*-166.5\nAnswer: 148518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -3 + (-3 - (15 - 2)). Let r be 13 + a - (-2)\/204*-31. Let d = 1\/34 - r. What is the nearest to 0 in -1, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -29. Suppose 20 = 5*j - j. Let g(y) = -2*y**3 - 4*y**2 - 4*y - 3. Let v be g(-2). Solve -m*b - 28 = -3*p, -b - j - 19 = -v*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1037*i**2 + 1273*i**2 + 3*i - 3*i.\nAnswer: 2310*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 23438.60344 to the nearest integer.\nAnswer: 23439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56401 and 6.573?\nAnswer: 56407.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 4*r**5\/15 + 8*r**4\/3 - 40*r**3\/9 - 16*r**2\/3 + 12*r + 398. Determine h, given that s(h) = 0.\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - q + 1)*(-10*q**2 + 168*q**2 + 19*q**2) - 2*q - q**3 + 2*q.\nAnswer: -178*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*h + 6052 = -6305 - 8251 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 440\nAnswer: -1\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -2*s - 19, -5*s = t - 2*s - 14. Let c(u) be the second derivative of u**3\/6 + 13*u**2\/2 + 6*u. Let w be c(t). Solve 5*f = 3 - w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 7206 = 32*n - 11*n. List the prime factors of n.\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4 = -1. What is the units digit of 257 + 6 - h\/((-2)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cayb when four letters picked without replacement from {w: 1, a: 1, b: 2, t: 7, y: 1, c: 2}.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1048078 is divided by 264?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0235399 to 4 decimal places.\nAnswer: -0.0235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 222.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -20*h**2 + 2*h - 689. Let y(z) = -310*z**2. Determine s(y(u)).\nAnswer: -1922000*u**4 - 620*u**2 - 689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -8, 1, 3, 415, -2 in descending order.\nAnswer: 415, 3, 1, -1, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-28)*728\/(-208)*44\/(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 4*f**2 + 2*f + 1. Let c be d(-1). Suppose -35 = -c*w - 2*w. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**3\/7 + 4797*y**2\/7 - 5802840*y\/7 + 17107632 = 0.\nAnswer: 21, 2388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 26*g - 24. Suppose -3*q = 2 + 4. Let p = q - g. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1180 - 1810 = -30*s - 33*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (-165 - -155 - (-19 - 0))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/16)\/((-6)\/(-12))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693 and 962775?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2334001*m**3 - m**2 - 2*m - 2. Let l be k(-1). What is l rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 12:04 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x**(-2\/19)\/x)\/(x**1*x)**17*(x*x**1\/x*x\/(x**(-2)\/x))**36 assuming x is positive.\nAnswer: x**(2791\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*7\/294*(-7)\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 244447 + 700?\nAnswer: 245347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 1\/4*n**4 + 5\/2*n**2 + 2*n + n**3 + 6. Determine u(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 373324 and 372165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - t + 2*t - 20, -1208*t = 2*o - 6*o - 957*t - 1020 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-7) + 6*1. What is the units digit of 64\/w + 0\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 304 + -304. Let k(c) be the second derivative of j*c**3 - 8*c + 1\/3*c**4 + 7\/2*c**2 + 0. What is the first derivative of k(i) wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 310 + -309.7. Sort y, -0.3, -2\/9 in descending order.\nAnswer: y, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99987134?\nAnswer: 2, 13, 163, 23593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -17 + -14 + 44 - 9. Solve 14*u = z*x + 11*u + 14, 4*u - 7 = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9)*(-12)\/16. Let t = -8 + 8.2. Let n(v) = -v**3 - 6*v**2 - 1. Let o be n(-6). Which is the second smallest value? (a) x (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 1. Suppose 5*r - 2*w - 19 = 0, 7 = 5*r - 3*w - 14. Let d = 17 + r. Suppose 14 = -d*k - 6. Determine f(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 40 = 28*q. Solve c = -c - q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -51 + (111 - 22).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lltl when four letters picked without replacement from {t: 3, p: 4, l: 9}?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5739107236?\nAnswer: 2, 59, 1063, 22877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7618 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1653, 1644, 1621, 1578, 1509, 1408, 1269?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5059*i**3 - 4*i + 4*i.\nAnswer: -5059*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-2)\/(-4))*-152. Suppose -8 = -2*b, 4*o + b - a = -4*b. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2434 * 3\nAnswer: 7302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*o**3 + 208*o**3 - 52*o**3 - 52*o**3 - 50*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9578*a - 38319. Determine y(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 4*g - 21, 17 = 1272*j - 1277*j + 3*g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10156064 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 11*t**2 - 7*t + 19. Let u(a) = -9*a**2 + 6*a - 16. Let r(q) = 6*u(q) + 5*z(q). Let b(y) = 2*y**3 + 4*y**2 + 3*y - 3. Calculate b(x) - 3*r(x).\nAnswer: 2*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1085 + -1085.18088. Let c = 0.183 + x. Round c to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4439*y + 15*y**2 + 120*y**2 + 1620*y wrt y.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f - 81. Let z(n) = -5*n**3 + 2. Suppose 0 = -4*j - 3*o - 13, -4*o = 6 + 6. What is j*z(t) + 2*w(t)?\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**3\/6 + x**2 - 2*x. Let v be m(0). Suppose -v*i - 3*i = -275. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -46. Suppose 4*k - 3*v = -4*v + 230, -5*v = -2*k + 104. What is the remainder when k is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66345530 - 4*d + 132690176 - 66344646.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12329264 divided by -1541158?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 - (72 + 47 + -248).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7}. What is prob of sequence dd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 12 = 2*x, 4*x - 3*u + 5 - 1 = 0. Let y(n) be the third derivative of 0 + 0*n**3 + 0*n - 3*n**2 + 1\/24*n**4. Determine y(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703418*r = -703522*r - 2454 + 374 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 59 = 189 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 - 144\/(-14). Find the third derivative of 38*m**2 - 6*m**2 - i*m**3 - 19*m**3 wrt m.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.46 - -0.16. Let b be ((-54)\/8)\/(3\/(-3 + 15)). Let j be (0 + (-6)\/(-28))\/(b\/36). What is the nearest to j in -2, i, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:43 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/4 - 7\/8*-70?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + -13794. What is g rounded to the nearest one hundred?\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.01 - -0.01. Let c = 4.06 + -0.06. Let x = c - z. What is the closest to -2 in x, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 1, u: 1, c: 1, t: 1, v: 2}. What is prob of picking 1 s, 1 t, and 1 v?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 526, 2193, 5024, 9037, 14250, 20681, 28348, 37269?\n\"Answer: 3*r**3 + 564*r**2 - 46*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -8, -33, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*g - 11, 9 = r - 0*r + 3*g. Sort -0.5, 0, 5, r in ascending order.\nAnswer: -0.5, 0, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) - (1 + sqrt(75)) - sqrt(3) - (sqrt(3) - (-4 + sqrt(12)))**2.\nAnswer: -20 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 5)*(-5 + 2 + 6) + 10 + 15 - 2)*(-5*p**5 + 6*p**5 - 2*p**5).\nAnswer: -17*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 6, 10, 30, 72, 142, 246, 390?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -133805 + -0.90233877\nAnswer: -133805.90233877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 2*i + 1. Suppose 3 = u, 2*d - 2*u - 72 = -12. Calculate the remainder when d is divided by q(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = 4*i, 5*r + i - 63 = 0. Let w = -13 + r. Solve o + p = -4, w*p + 5*p = 2*o - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from maaaaaaomomaommao?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + 1*(sqrt(80) - (1 + sqrt(80) - sqrt(80))) + sqrt(80))*-3)**2*6.\nAnswer: -1296*sqrt(5) + 38934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9128 and 7882?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.98 - -0.02. Let g = l - -9.2. Round g to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*x + 132 = 0. Let t = 19 - x. Is (0 + (-4311)\/t)\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 5*m**3\/3 + m**2\/2 + 1. Let z(b) = 9*b**2 + 3*b. Let t = -29820 + 29813. Determine t*y(n) + 4*z(n).\nAnswer: n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.63181?\nAnswer: -0.189543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*c = -3*y - 83*c + 143, y - 5*c = 41. Put 4, 2, y in increasing order.\nAnswer: 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 4*m**2 - m**2)*(7*m - 14*m + 2 + 0).\nAnswer: -7*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48656.\nAnswer: 2, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103001 + -1?\nAnswer: 103000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 41*i + 40. Let u(m) = 21*m + 20. Let k(w) = -2*o(w) + 5*u(w). Let z be k(7). Suppose -2*f - 4*d = d - z, d + 87 = f. Is f a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 731 - 3638\/5. Let b = v + -61\/15. What is the nearest to b in -0.2, -5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 15?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**5\/30 - 3*i**4\/4 + 52*i**3\/3 - 356*i**2. Determine y so that k(y) = 0.\nAnswer: -13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**8\/84 - 13*i**4\/24 - i**2. What is the second derivative of w(l) wrt l?\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w - 4. Let q be l(-8). What is the units digit of 2\/q - (-18)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)\/j*j*j**0*j**(3\/7)*j*j**(-6\/5)*j*j assuming j is positive.\nAnswer: j**(71\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 0 + 2 - 1816*r**3 + 20.\nAnswer: -1816*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9837.175 meters to millimeters.\nAnswer: 9837175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 43 + 0*v + v + 16 - 12 as i + t*v and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 8 = -4*j, 5 + 3 = 2*t. Find the second derivative of 5 - 4*g - 3*g**3 - 5 + 5*g**j wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152748*w**5 - 30*w**4 + 12*w**3 + 428875483*w**2.\nAnswer: -9164880*w**2 - 720*w + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8 = -2*z, 0 = -k - 14*z - 8 - 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 635*n - 1. Let v be w(12). Let t = v - 4955. Suppose -1088 - t = -8*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(110)\/sqrt(10) + -6*sqrt(99)\/sqrt(9) - ((sqrt(11) - sqrt(99)*2) + 2 + sqrt(22)\/sqrt(2)).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 63*x**2 - 2953*x - 32. Give g(47).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 240 = 10*z - 2*s, -80 = -2*z + 4*s. Let d = -50 + z. Solve d = -91*l + 95*l - 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goyoyg. What is prob of picking 2 y?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1598 and -0.1.\nAnswer: -159.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-1 - (-5 - -1)) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 11*t - 28. Let o be x(18). What are the prime factors of (-2 + 1)*(-3 - o)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f - 5*p - 25 = 0, -4*f + 29 = -3*p. Let v(g) = g + 11. Let o(k) = -23 + 103*k - 193*k + 88*k - 10 + 12. What is f*v(r) + 3*o(r)?\nAnswer: -r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2211 and 3729?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1\/2 + 5\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l - 12. Let p(h) = -16*h + 17. Let z(w) = -19*w + 19. Let f(q) = -5*p(q) + 4*z(q). Let y(o) = 3*d(o) - 4*f(o). Let a(m) = 17*m. Calculate a(y(n)).\nAnswer: -68*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -79, -35.8, -2\/7, -2.6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 10*f**2 + 13*f - 1. Let k be w(10). Let p(j) = -j**2 + 20*j - 10. Let r be p(12). What is the highest common divisor of r and k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - x + 48209, -4 = 3*x + x. Let b = -723077\/30 - f. Let g = b - 17\/6. Which is smaller: g or -0.08?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 3*c)*(3 + 2 - 6) + 3*c - 3 + 3 - c + 2*c + 0*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 68900 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r - r - 2*r)*(-4 + 6 + 1)*(-2*r - 15*r + 5*r) + 4 - 2*r**2 - 4 + (-1 + 0 + 2)*(0*r**2 - r**2 + 0*r**2).\nAnswer: -39*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 5*g**2 - g**2)*(-4*g**2 - 4*g**2 - 11*g**2).\nAnswer: -95*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 15*q**2 + 21*q - 9. Let b(h) = -7*h**2 - 10*h + 4. Give -13*b(k) - 6*j(k).\nAnswer: 6*k**3 + k**2 + 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*g = 16, -g = 3*z + 2*g. Let p(f) be the third derivative of z*f**2 - 1\/24*f**4 + 0*f + 0 + 1\/6*f**3. What is the derivative of p(i) wrt i?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = q, -10 = -3*q - 3*c - 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 970967539?\nAnswer: 22433, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0515 + 2.4215. Let u = -2.57 + s. What is the third biggest value in 9, 1\/2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52108162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155556 divided by -36?\nAnswer: -4321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*z**2 + 60*z**2 + 40*z**2 + 3*z.\nAnswer: -18*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -221, -3 in increasing order.\nAnswer: -221, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-60)\/36*(-18)\/5. Solve b + z = y, -3*b - 5 + 2 = 2*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3422 = 5*f - 3387 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-8 - -4)) + (0 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.25 - -0.2500055. Round m to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**4\/4 + g**3 - 6*g**2. Let b be 4 - ((-2 - -6) + -2). Let r(u) = 0 + 1 + 1 - 2*u. Determine b*q(z) - 7*r(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24831.107 + 24722. Let w = o - -109. Let j = w - -0.207. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4796 and 6259?\nAnswer: 2728924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 43*w**2. Let z(m) = -981046*m**2. Determine z(j(u)).\nAnswer: -1813954054*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*t = 6*f + 1, 5*f = -t + 23. Which is the second smallest value? (a) -1\/19 (b) -3 (c) -0.1 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t - 311 + 311.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaea. What is prob of picking 1 e and 1 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-936)\/180)\/(138\/(-690))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 * 2.1.\nAnswer: -0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**3 + 10*n**2 - 47*n + 6. List the prime factors of t(7).\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 40*w + 5*w**2 - 1 + 1.\nAnswer: 2*w**2 + 40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 484, 562, 624, 670?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12.39 - 11.3627. Let w = f + -0.0273. Let p = 0.2 + 0. Put w, 0.4, p in increasing order.\nAnswer: p, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 7 = -2*t, -68 + 72 = 2*y + 3*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g + 0 + 0*g**7 + 11\/15*g**5 + 0*g**6 - 1\/48*g**8 + 52*g**2 + 0*g**4 + 0*g**3. Find the third derivative of f(l) wrt l.\nAnswer: -420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/55, -504, -0.2 in descending order.\nAnswer: 3\/55, -0.2, -504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(91)*-2 + sqrt(91))\/(sqrt(252) + sqrt(28)) + (-2*sqrt(117)*3)\/(sqrt(9)*2*4))**2 + -4.\nAnswer: 2669\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -8*n**7\/315 + 2771*n**6\/90 + 77*n**5\/5 - 3*n**2 + 11*n - 19. Find h such that j(h) = 0.\nAnswer: -1\/4, 0, 693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2. Let z(a) = 90*a - 33. Let u(x) = -11*x + 4. Let v(t) = 33*u(t) + 4*z(t). Determine o(v(m)).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0687885833 rounded to five dps?\nAnswer: 0.06879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*p = 83*p. Suppose -3*x + 5*v - 17 = 0, p = 3*x + 6*v - 9*v + 9. Which is the biggest value? (a) 5 (b) -1 (c) 0 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 2*f**3 - 2 - 14*f**3 + 36*f**3 + 168*f**2 - 2*f**3.\nAnswer: 11*f**3 + 168*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -362 (c) -3\/5 (d) 1\/2 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 20 - 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 6*z - 7. Let u be o(-2). Let a(d) = -124*d**2 - 2*d + 2. Let p be a(u). Does 4 divide (-4)\/6 - p\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366254.\nAnswer: 2, 7, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1153705*q**4 - 947264*q**2 wrt q?\nAnswer: -27688920*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11398 + 1128361\/99. What is the common denominator of g and 7198\/(-1952)*6\/33?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2265 - -2429. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-14) - (19673\/(-2163))\/((-3)\/9)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 7*j**2 - 7*j + 10. Let u be x(6). Suppose -u*i = -66 + 26. Let n(l) = 3*l - 1. Let s(f) = -7*f + 2. What is i*n(k) + 4*s(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + l. What is the units digit of h(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8148*u - 71. Let v(h) = 2717*h + 26. Calculate 4*c(n) + 11*v(n).\nAnswer: -2705*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/60 - v**4\/6 + v**3\/3 + v**2. Let z = 43 + -38. Let l = z - 11. What is c(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l**3*q**2 - 29*l**3 - 56*q**2 + 3*q - 1 wrt q.\nAnswer: 2*l**3*q - 112*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 7 = -3. Let q = 88 - 37. Suppose -67 = -g - 3*s, -g - s + m*s + q = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-13725.066.\nAnswer: 54900.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 - 8*n**2 - 1 - 2*n**3 + 8*n**2 - 7*n**4 in the form i*n**3 + x + a*n + o*n**4 + u*n**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1139)\/34)\/((-2)\/(-7 + 1)). Let a = 102 + o. Determine x so that a*x**3 + 21\/2*x**4 - 3*x**2 - 9*x**5 + 0 + 0*x = 0.\nAnswer: -1\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = -5*l, -l - 30 = -5*b. Let w be -2*b*2\/4. Sort w, 3, 2 in descending order.\nAnswer: 3, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295306447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -637, 1641 in decreasing order.\nAnswer: 1641, 4, -4, -637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25761, 26207, 26653, 27099, 27545?\n\"Answer: 446*o + 25315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5820 = 3*m, 4*t - 35*m = -33*m + 7754. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/2808 and -55\/33156.\nAnswer: 862056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4213, -3863, -3517, -3175, -2837?\n\"Answer: -2*p**2 + 356*p - 4567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*u - 789 = -102*u. Solve -764 + 770 = u*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*b = 1234, b + 0 - 2 = 0. What are the prime factors of k?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1292*z + 2934*z + 1 + 0 = 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 38 = -5*y - 2*g, -4*y - 56 = -2*g. Let r = 26 + y. Let x be (-4)\/r + 8\/42. Is x >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17519514*f**3 - 43489340 wrt f?\nAnswer: 52558542*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 10. Let y = -15 + 19. Suppose -2*p = -k - 20 - 6, -y*p + 54 = -3*k. Calculate the lowest common multiple of c(6) and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-190))\/((-110)\/(-275))?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -39*t + 8*t + 57, -3*t + 68 = 5*u. Calculate the highest common divisor of 23179 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1544 - 962. Let u be (11 - 10)\/((-2)\/v). Let a = u + 10183\/35. Is 0 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4172438317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3*t + 0*t)*(-1 + 0 - 1)*(-5 + 4 - 4)*(-3309*t**2 - 78*t**3 + 3309*t**2).\nAnswer: -780*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 18*r - 5. What is the units digit of o(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 223, 1437, 4657, 10885, 21123, 36373, 57637, 85917?\n\"Answer: 167*g**3 + g**2 + 42*g + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.0651 litres to millilitres.\nAnswer: 725065.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -61\/25619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2998.984 millilitres to litres.\nAnswer: 2.998984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123353 is divided by 3401.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37 and 16391?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1296)\/(-840))\/27*1*-1?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 2:10 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 723712553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3*y**5 + 399*y**4 - 18198*y**3 + 306246*y**2 - 1004007*y + 715563 = 0.\nAnswer: 1, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 10*x**2 - 10*x + 1. Let f be h(7). Suppose -12*m + f = -78. Suppose n + 2 = -0*n, 2*n - 6 = 5*d. Which is smaller: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from xxxxexe?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 103899190 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let i(v) = 3*v**2 + 2*v - 6. Calculate -5*a(y) + i(y).\nAnswer: -2*y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2\/13 (b) -11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52533277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (13195\/(-300))\/(-13) - (-6)\/9 and -31\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 + 25. Suppose -3*u + 3*h + 21 = y, 0 = 4*u - h - 1 - 15. Solve 2*o = u + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 6 - 10 = 0. Suppose s - 5*z - 1 = 0, 2*s + 0*s - 4*z = 20. Solve -s = -j*h + 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10722 (base 9) in base 7?\nAnswer: -26561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -232 - -211. Let y = -36 + 22. Let r = y - x. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) 1\/5 (c) 4 (d) -100 (e) 2 (f) -5 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/131461 and 35\/418?\nAnswer: 262922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1157, 4706, 10635, 18944?\n\"Answer: 1190*s**2 - 21*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.002 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t**3 - t**2 + 3*t - 2. Let j(w) = w**3 + 42*w**2 - 235*w + 1. Let r be j(-47). Calculate f(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288) - (sqrt(288) + 0))*-3 - -3*(sqrt(2) + 1)*-6)**2 - (-4*(sqrt(2) - sqrt(32))*4*-1 + -1).\nAnswer: 264*sqrt(2) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 105*c = -108*c - 27, -5*c = -3*t - 13 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 8. Solve 0 = -2*a + 4*b + 14, -d*a - 2 = 4*b + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwffwww. What is prob of picking 2 w?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.41881ml in litres?\nAnswer: 0.07541881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqlq when four letters picked without replacement from qvqcllvqavvlqvqvq?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9872741 is divided by 340436?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 11:30 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 + -2 + -2)) + 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4363\/65 or -66?\nAnswer: -4363\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 9*f + 4. Let p be q(9). Is p\/14 - 351\/(-21) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(1100))*2)**2 + 3 + (sqrt(1100)*-1*-5 - (-5 + sqrt(1100) + 1))**2 + 4.\nAnswer: 160*sqrt(11) + 22039","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_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: Put 2, 3, -1181 in decreasing order.\nAnswer: 3, 2, -1181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z - 68 = -36*z. Suppose -12 = -i + z. What is the highest common factor of 261 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 59, -3, 4426, 4 in increasing order.\nAnswer: -3, 4, 5, 59, 4426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**2 - 4*k - 5. Let z(r) = r**2 - r + 1. Let i = -4 + 6. Let t(b) = i*z(b) + d(b). Let x be t(-4). Let u(w) = w + 1. Determine u(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5442658, 5442649, 5442634, 5442613, 5442586?\nAnswer: 5442553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/(-10) + 2)*-15. Suppose -j + 4*j - s = 0. What is the units digit of j\/(-7) + 23*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 - i**3\/3 - 7*i**2 - 15*i. Is 12 a factor of m(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + (-1084)\/(-28). Suppose 5*w = -m + 323, -4*m + 12 = 20. What is the greatest common factor of w and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 3. Let x(i) = -2*i**2 - 7. Let o(q) = -7*m(q) + 3*x(q). Let j(a) = 21*a**2. Calculate j(o(v)).\nAnswer: 21*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10897?\nAnswer: 17, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:39 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10325 divided by 413.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {w: 4, k: 1, r: 8}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 + 11*k - 4. Suppose 4*c = -0*w - 4*w - 16, 5*w + c = 0. What is the remainder when j(-6) is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 81 + 1461 = 0. Suppose -12 = 3*p, h = 4*u - 4*p + 2*p. What is the first derivative of -30*f - 3 + u*f + 0 - 55*f wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2803 + 11304. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40076043?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-678430.\nAnswer: 678430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -21*l - 9*l + 52*l - 10*l. Let i(k) = 106*k. Determine x(i(t)).\nAnswer: 1272*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -384*r - 6*r**2 + 19*r**2 - 2 + 385*r in the form b*r**2 + k*r + u and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2025125131 divided by -6\nAnswer: 2025125131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8520, -30, -2, 3, -4, 0.\nAnswer: -8520, -30, -4, -2, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -17*g**3 - 2*g**2 + 2*g - 1. Let t(s) = -s**3 + 6*s**2 - 6*s + 6. Let w be t(5). Determine r(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -18. Let f be (h*1)\/(22\/(-176)). What is the tens digit of ((-59)\/(-5))\/(f\/40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 3\/5 (c) 0 (d) -1 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 5*d**2 + d - 13. Let f be q(4). Let r = f + 65. Calculate the common denominator of -7\/8 and (3\/(324\/21))\/(r\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**5 + 16*i**4 - 30*i**3 + 8*i**2. Let o(s) = -s**5 + 5*s**4 - 10*s**3 + 3*s**2. Let j(f) = -8*o(f) + 3*p(f). Factor j(u).\nAnswer: 2*u**3*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 53*g - 282.\nAnswer: -(g - 47)*(g - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**8\/112 - g**4\/12 - g**2 - 4*g. Let q(c) be the first derivative of h(c). What is the second derivative of q(x) wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -8\/9 (b) 5 (c) 2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -1.3.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 13987 (b) 0.3 (c) -0.4 (d) -0.2 (e) 11 (f) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -j + 5*k, k - 1 = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-one fifths of a micrometer?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 88, 5, -4, 3 in decreasing order.\nAnswer: 88, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 76. Suppose 15*a + 30 = k*a. Suppose -a*n = -10*n + 220. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 k when four letters picked without replacement from {k: 5, m: 3, w: 1, h: 11}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**5\/4 - 1281*v**4\/4 - 4449*v**3\/4 + 765349*v**2\/4 + 384729*v + 192600 = 0. What is v?\nAnswer: -25, -1, 24, 1284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 2. Let m = -3 + o. Let q = -105\/124 + 3\/31. Which is the second biggest value? (a) q (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*q = -196812 - 13983. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o - 4. Let x(t) = -t + 1. Calculate h(l) - x(l).\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:04 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632377203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 12*m + 11. What is r(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x, 9 = -3*q - 2*x + 7*x for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 34*z**2 + 69*z - 3612. Calculate c(35).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-1\/24)*t)\/t))**37\/(t*t\/t**(-1\/2))**(3\/4))**(-1\/6) assuming t is positive.\nAnswer: t**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = 4*s - 24*l - 16, -2*s + 3*l = -12. Solve -3*p - 4*b = 16 + 15, -3*b - 12 = s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000000 - 0?\nAnswer: 10100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 3\/(-5) + (-183)\/(-305) + 8. Solve 8*g = 13*g - u, -5*r = -g - 18 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -8368.\nAnswer: 45\/8368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 195, 184, 159, 114, 43, -60?\n\"Answer: -w**3 - w**2 - w + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -a. Suppose -111 = -5*n - 2*r, -2*n - a*r + r + 45 = 0. Let d = 8 - -32. What is the remainder when d is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(98) + (sqrt(98) - ((1 + sqrt(98))*3)**2))*-5.\nAnswer: 2800*sqrt(2) + 22275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 1 + 11 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + w)*(-3 + 7 - 2) + (-225 - 196 + 318)*(-2 + 2 - 4*w).\nAnswer: 410*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t + 8. Let w be h(-8). Suppose 5*x + 2*l + 35 = w, 0 = 3*x - 2*l - 2*l + 47. Let k = 34 + x. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u)*((-1 + 0 + 0)*(1 + 2 - 5) + 14 + 11 - 32).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -50151?\nAnswer: -50151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -13*r**3 + 8*r**2 - 22*r - 29. Let a be c(-1). Sort -10\/13, a, 4 in increasing order.\nAnswer: -10\/13, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2222 is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -88, -98, -88, -52, 16?\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 25 = v. Solve -2*s + s = -v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1282.61 and -275144219.\nAnswer: -275145501.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 552?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 22\/82498283?\nAnswer: 22\/82498283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 108 = -0*b. Calculate the remainder when 51 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -750836 and 0.6?\nAnswer: -450501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {z: 3, l: 4, d: 1, j: 1, n: 2, x: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43.72, -2\/7, 5, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 51*n = 60*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168807449*f**3 - 838*f + 28346 wrt f.\nAnswer: -1012844694*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 255721269 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1315 and 4888381?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 970, 2184, 3884, 6070, 8742?\nAnswer: 11900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k + 13. Let t be s(5). Which is bigger: 10 or t?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(5*(-2)\/(-5)*-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 21926*b**2 + 43849*b - 21924.\nAnswer: (b - 21924)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 1185 divide 335616509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 452125012 (base 6) to base 11\nAnswer: 4706aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -8435845.\nAnswer: 3\/8435845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -g + 3*u, -4*u - 10 = 80*g - 81*g. Which is the closest to g? (a) 3 (b) 1\/3 (c) -1.1 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 3 (c) -2\/7 (d) -952\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/20592 and -97\/396?\nAnswer: 20592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440437 is divided by 8803.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(4\/13)\/r)\/r*r)\/r**(-1\/2))**(-11)*((r*r**(-1\/5))\/r*r)**(2\/143)\/((r*r\/(r*(r*(r*r**2*r)\/r)\/r)*r)\/r*r\/r**(3\/10)) assuming r is positive.\nAnswer: r**(490\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 2*f. Let d(x) = x**3 + 10*x**2 + 10*x + 11. Let h be d(-9). Give c(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9675\/56 + 1321\/8. Calculate the common denominator of -17\/126 and k.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(5) + -1)**2 - sqrt(25)\/(sqrt(720)*-2)) + 4.\nAnswer: 97*sqrt(5)\/24 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 o when three letters picked without replacement from {o: 7, e: 1, s: 1, b: 1, h: 1, w: 7}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*v = -20, 3*g + 22 = 4*g + v. Suppose 7 = 5*z - g. What is the highest common factor of 30 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k - 2. Let j be r(2). Suppose -g = -5*l - 4500000, j = 5*g - 4*l - 29383114 + 6883114. Round g to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 13 = 12*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.15 - 3437.\nAnswer: -3440.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.43, -3\/7, 1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3070 + b77?\nAnswer: -20b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438630788.\nAnswer: 2, 43, 2550179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8273580, 8273591, 8273610, 8273637, 8273672, 8273715?\n\"Answer: 4*k**2 - k + 8273577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-14)\/3*57*(-24)\/(-456).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4702?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 236600058 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.4. Let v be (-1 - 0)\/((-8)\/(-32)) - (-12 + 10). Which is the smallest value? (a) -0.03 (b) w (c) v (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-10 + 5) - -192. Let z = t + -189. Solve 4*m + 20 = -z*a + a, -a = -5*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27321668*v**5 + 5*v**3 - 363845159*v**2.\nAnswer: 1639300080*v**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 < 389\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -239935010 by -5.\nAnswer: 47987002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3.96. Let f = 0.26 - w. Let a = -2880\/24191 + 2\/1423. Put a, 3, f in decreasing order.\nAnswer: 3, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - 5*j**2 - 2*j**2)*(j**2 + j**2 + 4*j**2)*(-j + 0*j + 4*j).\nAnswer: -90*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 357 (b) -1\/6 (c) -2\/3 (d) 3 (e) 1 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44516410 and 7.\nAnswer: 311614870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 3*y**2 + 5*y - 3. Let d(a) = -2*a**3 + 3*a**2 - 4*a + 2. Calculate -3*d(z) - 2*r(z).\nAnswer: 2*z**3 - 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 737?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*z + 42*z - 48. Calculate the remainder when 82 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.699639 centuries in decades?\nAnswer: 6.99639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 11 - 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 + 1. Let j be g(0). Suppose -5*w = -5*m - 5, -5 + 11 = 3*w. Which is the closest to j? (a) 0 (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51 - 24*x + 2*x - 2179*x**4 + 12*x + 11*x wrt x?\nAnswer: -26148*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 2*h = -51331, 0 = -w - 2*h + 7592 - 1893. What are the prime factors of w?\nAnswer: 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22747, -22758, -22773, -22792, -22815, -22842, -22873?\nAnswer: -22908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 3*t + 2. Let b be r(-2). Factor -6*z - 7 - z**2 - 4 + b + 2.\nAnswer: -(z - 1)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12713211 and 5448519?\nAnswer: 38139633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 22012221000010?\nAnswer: -22012220222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -6 - (431 - 417) - (-1 - 34).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000171 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5)*30*(-4)\/(-48). Suppose 2*m - 4*h = 4*m - 14, 14 = 2*m + h. Sort d, 5, m in increasing order.\nAnswer: d, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -51*b + 1009. Determine k(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 215?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -0.1, -6\/7, -4, 1\/5 in descending order.\nAnswer: 2, 1, 1\/5, -0.1, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*v - 16*v - 37*v to the form g*v + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 0.3, -0.3, -112, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 14) to base 7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4296 = -5*g + 8*g. Suppose 3*x - 686 = 5*d - 3016, -3*d = 5*x - g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330402 = 17000*v + 561675 + 334757 + 643166 for v.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -77. List the prime factors of (-5 + 44)*b\/3.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 25, 24, 23, 22, 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2955 - 2199. Does 63 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/7 + 1 + 0. Suppose n = -3*n + 20. Suppose n*w - 12 = 3*o, 2*w - 3 = -o + 4. Sort x, o, 4.\nAnswer: x, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 7:14 AM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 14) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.068 - -0.742. Let b = f - 1.89. Round b to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3880526 (base 12) to base 9.\nAnswer: 22821223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2 = -8. Let y(x) = x + i*x - 4*x. Let a(z) = 2*z**2 - 8*z + 2. Let n(l) = 23*l**2 - 24*l + 6. Let k(g) = -3*a(g) + n(g). Calculate k(y(f)).\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1812 - 46?\nAnswer: -1858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 + -6 + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1561 (b) 37 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -0.01, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 374762, 749590, 1124418, 1499246?\n\"Answer: 374828*x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 53 = 2*b + 187, -4*b = h - 62. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14781821.\nAnswer: 1361, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 434 - -1?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285 - 596 + 291 + 0*u + 5*u**2 - 5*u + 4*u to the form h*u**2 + n*u + y and give y.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 969671194 is divided by 403.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a day?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oooozoozoooooooooz?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*l = 7*l - 34*l - 3379 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c - 16 + 16 + (-2 - 2 + 5)*(0*c + 2*c - c) - c + c - c + (-108 + 191 + 6)*(-5*c + 2*c - 2*c) to the form m*c + o and give m.\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -172 + 172. Suppose j = -5*b + 2*h - 283000008, 3*b - h + 169800004 = -0*b. What is b rounded to the nearest one million?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3 = -i, 13*p - 4*i - 12 = 9*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, -2, -4, -2.2, 4677.\nAnswer: -4, -2.2, -2, -0.1, 4, 4677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/241205?\nAnswer: 3\/241205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 251727.4ml in litres?\nAnswer: 251.7274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 - 3*v**3 + 15*v**2 + v - 11*v**2. Let l be ((-3)\/4)\/(2\/8). Calculate the lowest common multiple of 3 and s(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/40*(-8)\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147743318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = 5*f. Sort -3, f, 11 in increasing order.\nAnswer: -3, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15170348*p**3*y**3 + 3*p**2*y**2 - p**2 - 56*p*y**3 - 2*p*y - 13 wrt p.\nAnswer: 91022088*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -174*p = -212*p - 38 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2918?\nAnswer: 2, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 420 (base 10) to base 8.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 11*a**2 - 19*a - 19. Let f be v(-12). Suppose -f = -7*d + 2*d. Let w = d + 7. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(-2)\/12*3 + -13. Let t be 4\/(-8) + (-7)\/w. Suppose t = 5*x - 20, -158 = -2*a - 3*x + x. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/2514028 and -69\/591536.\nAnswer: 10056112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + 8 + -6)\/(6\/28). Let j = h + -20. Suppose 0 = -j*c + 149 + 91. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1712343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49290 and 1941840.\nAnswer: 102917520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 75 + 48 + 47 + 2*p - 24. Let o be i(-6). Calculate the highest common factor of 335 and o.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4929 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 5, 1\/51, -0.4?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -2 (c) 87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-175)\/30)\/(-7))\/((-10)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Suppose p - 5*n - 20 = k, 4*p + 3*n - 96 = p. Let u = p - 8. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 63591*j - 5456. Is y(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-4 + -1 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18798802\/21 or -895180?\nAnswer: -18798802\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 308 and 86086.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 + 11 - n**2 + 10 + 0*n**2 + 12 - 4*n to the form c*n**2 + j + p*n and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 244*x + 2208.\nAnswer: -4*(x - 8)*(x + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*l + 122, -5*l = -4*z - 330 + 39. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 355 divide 36844740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.1 + 2. Let w = a - -0.6. What is the third biggest value in -0.3, 0.2, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 2*a - 160 = 0, -d = 56*a - 51*a - 26 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -189*y**4 - 465*y**4 - 186*y**4 + 600 wrt y?\nAnswer: -3360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21002 - -1112110110?\nAnswer: 1112201112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8829 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4941014 and 348218?\nAnswer: 1534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at most as big as -0.064?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1 + 163*t**2 - 161*t**2 - 1. Let i(l) = 2 - 2 + 5*l + 6*l. Let y(n) = -32*n. Let a(k) = 8*i(k) + 3*y(k). Calculate j(a(c)).\nAnswer: 128*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-6))\/((-2)\/(-24)). Is 12 a factor of (11\/(-1))\/(j\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.35753 rounded to two dps?\nAnswer: 2.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -72, 158, 578, 1218, 2108, 3278, 4758, 6578?\n\"Answer: 5*i**3 + 65*i**2 - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 r when three letters picked without replacement from {r: 2, n: 13, i: 1, b: 3, u: 1}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-nine halves of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 8 = -3*t, 5*b - 8 - 12 = 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + l + 1. Let z(c) = c**2 + 23*c + 4. Suppose q = 4*n + 361 - 338, -5*n = 2*q + 19. Calculate q*f(r) - z(r).\nAnswer: 2*r**2 - 20*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109255*m*t**3 - 2*m*t**2 + 7300*m*t - 4*t wrt t.\nAnswer: 655530*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 207096 and 1346124?\nAnswer: 2692248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11112 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -7. Let x(c) = -39*c**2 + 2*c + 1. Let m be x(o). What is the tens digit of m\/(-32) - 99\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1218)\/(-1044) - ((-6)\/(-2))\/18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442.050079 rounded to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88\/3 + (-9)\/27 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.1821 and -0.1.\nAnswer: 0.11821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-288)\/14)\/((-6)\/63 - 0). Let l = v - 22. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 12*b**2 - 4*b**3 + 4*b**2.\nAnswer: 3*b**3 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, m: 1, k: 1, l: 4, i: 1, u: 5}. Give prob of sequence ml.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -13201?\nAnswer: -13165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -17. Suppose -w*j + 22*j = 45. What is the remainder when j is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 4, -4, 112 in decreasing order.\nAnswer: 112, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6748 and 35?\nAnswer: 33740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/49, 1, 1852, -7, -18?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:21 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 234 and 8710.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -7*c - 10. Let t(z) be the third derivative of -z**4\/4 - 3*z**3\/2 - 12*z**2. Let l(o) = 5*i(o) - 4*t(o). Find the first derivative of l(s) wrt s.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (3 + -1 - -1 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i + 64*i - 210*i + 72*i = -138 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/27 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.56 - 0.44. Let x = m - -80.1. Which is the closest to x? (a) 2 (b) -0.3 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 14*q**5\/25 + q**4\/2 - 4*q**3\/15 + 125. Factor u(h).\nAnswer: 2*h**2*(h + 1)*(7*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 5 + q + (0*q + q + q)*(-2 - 6 + 2) - 3*q + q - q - q + 2 + q - 3*q to a*q + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence si when two letters picked without replacement from ussjuttttttisjtsm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 712642727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - z = 3*j - 7, -4*j + 12 = -4*z. Let t be 1\/(j\/(-16)*-2). What is l in 4*l**4 - 6*l**3 - 3*l**5 - l**2 + 9*l**3 - 3*l**t = 0?\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361592509 is divided by 197?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76 + (-48 - -17) - 12.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y - 5*u = -20, -2*u = -y + 4. Suppose -3*n = -16 + 1. Solve y + 12 = -3*j - 2*b, -n*j = -5*b + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 239*v**2 - 16*v - 2904. Is p(-41) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -13528 times -34\nAnswer: 459952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*((0 + sqrt(98) + -2 - (1*sqrt(98) + -5))**2 + ((2 + sqrt(98))*-2 + (sqrt(98)*1 + sqrt(98) - sqrt(98) - sqrt(98))*-5)**2).\nAnswer: -3753 - 1008*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:53 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32 - -31)*(-1 + (-5)\/(-7)). Let s = -0.01 - -0.41. Let j = -0.7 + s. Which is smaller: j or z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, w: 1, q: 2, y: 1, n: 1, m: 1}. Give prob of picking 1 b and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qc when two letters picked without replacement from {c: 1, b: 3, a: 2, i: 4, q: 2, w: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -193, 4, -4, -2.\nAnswer: -193, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2\/g**(-9))\/(g**(-1)\/(g\/(g*g**(-9\/2)*g)*g)))**43 assuming g is positive.\nAnswer: g**(1419\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(4 + -2 + 0). Suppose -q - 34 = 6*a. Does 14 divide a*(4 - 20 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*x - 66. Let a = x + 39. Suppose r = 5*r - 36. What is the remainder when a is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 2*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -8. Let r be 3\/4 - b\/12. Let x be (-4)\/(-22) - (-12)\/297. Are x and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (20\/(-30))\/(4\/(-6)). What is the units digit of (3 - m)\/(-2) + 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = -4*u. Let c(p) = -u*p - 4 + 7*p + 4. Let f(k) = 6*k. Calculate c(f(n)).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -69, -112, -173, -252, -349, -464?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.12 - 0.02. Let x = 0.09 - c. Let t = x - -0.010017. What is t rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 1668*t - 257020.\nAnswer: (t - 142)*(t + 1810)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u - 1. Let a be g(1). Let k = 0.5 + -0.3. What is the closest to -0.2 in k, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/10 + 4877*i + 118925645\/2.\nAnswer: (i + 24385)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1553\/77 - -138\/7. Calculate the common denominator of (55\/(-100))\/(2\/5) and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*r**2 - 63072*r - 11468 = 0. Calculate r.\nAnswer: -2\/11, 5734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + sqrt(567) + 1)**2 - (-2*(sqrt(448) + (sqrt(448) + -1 - sqrt(448))) + -5)**2.\nAnswer: -1218 - 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/460 and -103\/2806.\nAnswer: 28060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 1)*(-2 + 2 + i) + (i - 3*i - i)*(-3 - 8 - 3) + (0 + 3 - 2)*(0*i - 6*i + 3*i) to the form n + z*i and give z.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 4 - 11*u - 42 + 17 + 2*u to the form d + x*u and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/865 + 5911\/20760. Let o = 1\/24 - a. Is -1 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.296? (a) -1 (b) -2 (c) 3.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(6)*1 + sqrt(384)*-2)\/(sqrt(98) - (6*sqrt(98)*1 + sqrt(98))))**2.\nAnswer: 100\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (16\/704*11)\/((-3)\/118) and 101\/568.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096 + 1096 + 159*t.\nAnswer: 159*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -15*r - 6. Let i be v(-1). Suppose -i*n + 240 = -7*n. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -48*i + 22*i + 19*i + 0 + 18*i - i**2 + 38. Calculate z(-6).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -311*h*l**3 + h*l**2 + 7089*h*l - 45895*l**3 - 38*l wrt h?\nAnswer: -311*l**3 + l**2 + 7089*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.37 or 7?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - -9 - (1 - 1). Suppose 5*n = -5*u - 30, -n + 1 = 3*u + 21. Let m = u + r. Solve -4*h = -12, -6*w = -m*w - h - 12 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {b: 9, e: 1, m: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 8 = -5*o, -4*m = 8*o - 4*o + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8))\/(5\/((-40)\/6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1894 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84751?\nAnswer: 84751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3771023 (base 9) in base 10?\nAnswer: 2054343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -60 + -3?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 9, z: 2, d: 1}. What is prob of sequence zuzd?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 10*r**3 - 35*r**2 + 15*r = 0?\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -161\/25 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 - 51?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111 (base 2) in base 13?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 203002707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**4 + 0 + 0)*(3 + 2 - 3)*(-6 + 1 - 3)*(1 - 1 - 2)*(-3*r + r - 5*r).\nAnswer: -448*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 852814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -677 - -214. Let n = 770 + b. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + p**2 + 9 - p + 0*p. Is r(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g + 250 = 11*g - 46*g, 7*z + 3*g = -20 + 5 - 42 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 537.58 or -23?\nAnswer: 537.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -343\/1665 - 3\/185. Let h = -3715 + 11150\/3. Let x = 0.4 + -0.3. What is the nearest to o in h, x, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 1 (c) 0.2 (d) -39 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000011110011101011101 - 1?\nAnswer: 1101000011110011101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 665 and 48621475?\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6068 + -552231\/91. Let u = d + -5\/13. Put 2, 6, u in decreasing order.\nAnswer: 6, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14080*h + 6*h**2 - 2*h**2 + h**2.\nAnswer: 5*h**2 - 14080*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103310 (base 4) to base 15.\nAnswer: -598","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13255710 <= -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 12364564 (base 8) to base 6\nAnswer: 134512220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -17. What is the nearest to a in 1\/3, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, u: 4, k: 3, m: 1, o: 1}. What is prob of picking 1 m and 2 y?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5 - 1 - 4 - d**2 + 2*d**2 - 9*d. Let m be p(10). Suppose -6*q + 11*q - 190 = m. List the prime factors of q.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 306, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -1.05. Let t = n - -0.04. Which is the nearest to t? (a) 5 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*f + 5. Suppose 19 = 4*n + f. Suppose p = i - 1 + 3, -p + 8 = -n*i. Solve 5*g + 35 - 15 = p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n - 11. Let i(m) = 2*m + 2. Let c(s) = s + 2. Let y(p) = -c(p) - i(p). Calculate 6*q(h) - 17*y(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fuqg when four letters picked without replacement from {g: 1, u: 1, f: 1, d: 1, q: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 6. Let f be (6\/4)\/((-3)\/(-8)). Suppose w*n - 161 = -f*o - 3*n, -n = -2*o + 77. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -s**9\/56 + 7*s**5\/30 + 11*s**2. Find the third derivative of y(r) wrt r.\nAnswer: -1080*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(-1)*q*q**(1\/6)*q)\/((q**(-2\/17)\/q)\/q**5) assuming q is positive.\nAnswer: q**(947\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**3\/3 - 4*i**2 - 5*i - 96. Determine j(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a. Let t(p) = -10516*p**2. Calculate t(z(q)).\nAnswer: -673024*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -351270, -702543, -1053816?\n\"Answer: -351273*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 + m**3 + m**3)*(-3 + 3 + 1) - 8*m + 7*m - 3*m**3 + 7*m**3.\nAnswer: 6*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 867*p - 807. Determine h(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 85021338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**8\/2016 - p**7\/180 + p**6\/45 + 11*p**5\/45 - 5*p**4\/3 + 4*p**3 + 803*p**2 + 1. Solve q(m) = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32946997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 17 = 3*d, 7 = 12*d - 15*d - 5*a for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.154, 1, -0.5, -5?\nAnswer: 1.154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/12 and (7\/30)\/(6410\/1150 + -5).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(416) + (sqrt(416) - 2*sqrt(416)*-1) + sqrt(416) + sqrt(416) + sqrt(416))*-3)\/(5*-6*(sqrt(8) + sqrt(128))*1).\nAnswer: -14*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7861629868 to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12002210 (base 4) to base 14\nAnswer: 9032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 6*d**2 + 4*d + 5. Let m be c(5). Suppose m = 2*z + 139 + 89. Is 14 a factor of 4\/6*z\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 29\/5 of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1517091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2821\/23545 - 3\/1385. Let b = -0.3 + 0.1. What is the closest to 2 in w, 2\/7, b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180354865.\nAnswer: 5, 36070973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2070, -4188, -6330, -8496, -10686, -12900, -15138?\nAnswer: -17400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 20158 = 5*k + 20132, -2 = -9*k - 4*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, -4, -44?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 17256 (base 9) to base 10\nAnswer: 11877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 395, 3, 4, -2, -3 in decreasing order.\nAnswer: 395, 4, 3, -2, -3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 - 3.8. Let s = 0.04 - 0.44. What is the nearest to 0.1 in s, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 16 = -4*h, -116810*h - 4*o = -116808*h + 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p - 9 + 3 + 2 + 2*p**2. Determine g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -56c7b - 0?\nAnswer: -56c7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p - 1162 = 5*c, 1162 = 2*p + 5*c. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 + 0*g**3 - 2*g**3 - 3*g**2 + 2*g**2 - 1 in the form r*g + z + l*g**2 + c*g**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143457.1158063 - -0.989.\nAnswer: 143458.1048063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -86, -126, -166, -206?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 114*r**2 + r. Let q be w(1). Suppose f + f = g + q, f + 4*g - 80 = 0. Round f to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 0*c - 17 + 7\/2*c**2. Let k(g) = -3*g**2. Give k(j(l)).\nAnswer: -147*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-6 + 10)*57\/(-684)*15\/2.\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 2, c: 1, z: 4, f: 1}. Give prob of picking 3 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 7:23 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (7\/(-3))\/(-1))*-3. Let y(d) = -2*d. Let i be y(1). Let w(f) = 3*f. Let q(r) = -7*r + 1. Let o(t) = i*q(t) - 5*w(t). Calculate o(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 432\/(-6) - (-1 + 3). Let p be (-89053)\/1204 + 10\/(-280). Is y greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222561809.8 + 0.1.\nAnswer: -222561809.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 22906376.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(2\/11)*b))\/((b**(-3\/2)\/b)\/b))\/(b**3*b\/(b*b**6)))**(20\/7) assuming b is positive.\nAnswer: b**(1250\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 74 and 6?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 4223090 to the nearest one hundred thousand.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -213 - -340. Suppose 9*a = 4*a - o + 118, 4*o = -5*a + x. Is a smaller than 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 43*s**2 - 92*s + 624. Is m(19) a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 4*h**5 - 2*h**5 + (h**5 - 4*h**5 + h**5)*(1 - 2 + 3) - 4*h**5 - 4*h**5 - 5*h**5.\nAnswer: -25*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (-5*sqrt(75)*3)**2) + (-5*(sqrt(75) + -4) - sqrt(75)) + 0.\nAnswer: -16855 - 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0 + 14*w - 1\/54*w**4 - 4\/9*w**2 + 4\/27*w**3. Factor z(o).\nAnswer: -2*(o - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(847) + -2 + sqrt(847) - -4*(sqrt(847) - (sqrt(847) + ((sqrt(847) - (sqrt(847) - (sqrt(847) + -2))) + sqrt(847))**2)).\nAnswer: -13573 + 374*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -559515 times 1.6\nAnswer: -895224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.02 + 7. Let p = -0.05 - g. Let q be 30\/140*7*2. What is the third biggest value in -0.3, q, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -2, 30, -6, 15, 2 in descending order.\nAnswer: 30, 17, 15, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -10*o**3\/3 + 7*o**2 - 13. What is the second derivative of u(l) wrt l?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.06 (b) 1098 (c) 3 (d) 4 (e) 2\/9 (f) -51 (g) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - w. Calculate z(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -240*i*v*w**2 - 4*i*v - 3*i*w - v*w + v - 3*w**2 wrt w?\nAnswer: -480*i*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 8*s = 3*u - 8, 0 = -3*u + 3*s. Let n = 5377 + -75309\/14. Find the common denominator of n and 255\/352 + u\/(-22).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n + 2*n + n + (2*n + 0*n + 0*n)*(1 + 0 + 0) + n - 1 + 1 - 4*n + 5*n + n)*(-1 - 2 + 0)*(-5*n**2 + 0*n**2 + 2*n**2).\nAnswer: 27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.94 + -10.94. What is the closest to 0.1 in -2, -34, n, -4\/43?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**24*x**(-22) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (22\/12 + 14\/21)*6. Suppose 2*r + z = 95. Suppose -k = -44 - r. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1628470?\nAnswer: 2, 5, 162847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -32, -45, -74, -125, -204, -317?\nAnswer: -470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -744 + 520. Is (-308)\/(-6)*(-384)\/p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 405709*l - 4654597.\nAnswer: 405709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 37 = 4*z, 5*a - 3*a - 3*z = 25. Solve 5*j + a = -4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138436 is divided by 923?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-88)\/20 + 4)\/(2\/(-20)). Calculate the greatest common factor of 28 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**8\/336 - 23*r**5\/60 + r**4\/12 - r**3\/6 - 64*r**2. What is the second derivative of h(w) wrt w?\nAnswer: 20*w**3 - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - 76. Let j = r + 113. Let l(u) = -2*u**3 - 5*u**2 + 6*u - 7. Let h be l(-5). Calculate the highest common divisor of h and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 239020*t**2*v**2 + 22*t**2 + 1452*t*v wrt v.\nAnswer: 478040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*c + 17*c - 7*c)*(-37 - 21 + 35) in the form s*c + z and give s.\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2878 - 2882. What is the closest to 1 in 0.3, t, 5, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*i = -4*c + 486, 284 = 3*c + 2*i. Let z = c + -482\/5. What is the third smallest value in -0.2, -3\/10, 1, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-70))\/((-135)\/(-225)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*w + 1978 = 1823*w - 2*f, 3*w + 2*f - 68 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -156212 divided by -14?\nAnswer: 11158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 9. Let o be p(0). Let s = -8 - o. List the prime factors of (-46)\/(-12) + s\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 21. Find the third derivative of -v*t**5 + 20*t**5 + 3*t**2 + 2*t**2 wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2263 + -0.0263. Put 0.3, 0.4, o in descending order.\nAnswer: o, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 - 34*x + 1. Let g(b) = -12*b**2 + 65*b - 1. Calculate -3*g(z) - 5*i(z).\nAnswer: z**2 - 25*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*l = -38*l + 963 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i\/(i\/(i*(i\/i**(2\/29))\/i))))\/i)\/i*i)\/i)\/(i**22\/i)*(i*i\/(i*i\/(i*(i\/i**(-9))\/i))*i*i)**(-7) assuming i is positive.\nAnswer: i**(-3130\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138.99999882 + -139. What is g rounded to 7 dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, b: 3, n: 4}. Give prob of sequence nnbn.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1008) + sqrt(1008)*-2)**2.\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 60576 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Suppose -4*n + f - 9 = n, -5*n - 5*f = -15. What is the nearest to -1 in w, n, -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1036917061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 275.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 608, 452, 38, -628, -1540, -2692, -4078, -5692?\nAnswer: -7528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372.15525 rounded to the nearest integer?\nAnswer: 4372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 89*x**2 - 793*x - 88710. Calculate m(-91).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -32. Let y = -14 + u. Let x = -6 - y. Are x and -18 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 375. Let m be q(0). Suppose -3*w + m = -0*w + 3*s, 2*w = 2*s + 246. Suppose -2*j + 3*p = p - 80, 0 = -3*j + 5*p + w. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3245 = -72*k + 17*k. Let d be 1*(156 + -1 + 0). Let i = k + d. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 498\/125)*(13 - 8)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4951278*w - 141*w**2 - 4951278*w. Let v(y) = y. Give f(v(q)).\nAnswer: -141*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462828786 divided by -6?\nAnswer: -77138131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 19120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*d + 10 = 0, 3*c - d + 37 - 17 = 0. Is 1395610\/70 - (-3 - 23\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h**2 + 13*h + 3. Let m be a(-3). What is the closest to 0.4 in -2\/9, -3, 12, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**3 + v**3 - 2*v**3)*(1 - v - 1) - v**4 - v**4 + v**4 + 3*v.\nAnswer: -4*v**4 + 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46729271.\nAnswer: 73, 640127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956100 rounded to the nearest ten thousand?\nAnswer: 2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61937, 61932, 61929, 61928?\nAnswer: 61929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3202239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295545891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/9)\/(14\/21). What is the closest to f in -3, 4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a**3 + 27 - 46 - 8*a**3 to o*a**3 + r*a + p + y*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 1. Let d be n(5). Let v = -0.75 - -1.06. Let m = 0.09 + v. Put m, -2\/11, d in decreasing order.\nAnswer: m, -2\/11, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 5*l - 10 = 20, -21 = 2*x - 5*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3997 + -0.8997. Which is the second smallest value? (a) 1\/4 (b) x (c) 0.2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-380))\/(3\/70).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124360 a multiple of 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1449, -1479, -1529, -1599?\n\"Answer: -10*a**2 - 1439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xeeexekkezxkxeezee. Give prob of sequence xx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183410171*h**3 + 23*h**2 + 850098 wrt h.\nAnswer: 1100461026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-i - 5*i + 2*i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -165*y**2 - 3*y + 10. Suppose o + 0*o - 20 = 5*c, -4*c = o + 25. Let s be p(o). Round s to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**5\/12 - 5*w**3\/6 + 13*w**2\/2 + 7. Let d(b) be the second derivative of x(b). Factor d(r).\nAnswer: 5*(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.265399 equal to -2\/123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4389*y - 35121. Give l(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18804, 37552, 56302, 75054, 93808, 112564, 131322?\n\"Answer: j**2 + 18745*j + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/17)*p*p**23)**18 assuming p is positive.\nAnswer: p**(7272\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 1 + 4*a**2 + 0*a**3 + 3*a + 2*a**3. Suppose 2*g + 2*g = -r - 11, -r - 11 = -g. Let d = r - -8. Determine b(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05569 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.3 - 0.7. Let a = 176\/5 - 1926\/55. Sort a, 2, b.\nAnswer: b, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q + 5. Let f(l) = -l**3 + l**2 + l - 1. Let r be f(q). Suppose 0 = -z - 2*x - r + 7, -z + 3*x + 17 = 0. Is z a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -23. Suppose -h = 2*h + u, -2*z + 4*h + 72 = 0. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 39*x**3\/2 + 4401975*x**2\/2 - 1862391*x - 338616 = 0.\nAnswer: -112872, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 5*((-798)\/(-133) - (-30)\/(-7))?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = m - 5*w - 10, -m + 2*w + 4 = 0. List the prime factors of 38 - ((m - -1) + 2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 11. Let v be 7\/(-1 + (-2 - -4)). Let c be g(v). What is the first derivative of 2*q**4 - q**4 + 1 + 2*q**4 - 7*q**c wrt q?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 33104\nAnswer: -183\/33104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 11:17 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22959.\nAnswer: 3, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 361799.7 decades?\nAnswer: 43415964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24680 - 24671. Sort 42, o, 5 in increasing order.\nAnswer: 5, o, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 313. Let a be 3\/(148\/p + (-4)\/(-8)). Calculate the highest common factor of a and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 6*b + 6. Let v(i) = -37*i**3 - i. What is the remainder when v(-1) is divided by z(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3154*k**2 + 32*k - 32*k + 3382*k**2.\nAnswer: 6536*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -33. Suppose -611 = -4*t - 5*a, m*t - 3*a - 289 - 447 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2109352336.\nAnswer: 2, 7, 13, 19, 76249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8.83 * 2\nAnswer: 17.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.35 + -0.15. Let g be -1 - (-15)\/((-1725)\/(-92)). What is the closest to y in 0, g, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1069962217 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-2)\/(-10))*4. Let k be (21\/(-36))\/(v\/(-16)). Let b = k + 2\/15. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306489 divided by 3?\nAnswer: 102163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.4 - -23.15. Let b = q + 0.55. Put 0.5, -31, 3, b in ascending order.\nAnswer: -31, b, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2948, 5 in ascending order.\nAnswer: -1, 5, 2948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1264 - 758. Suppose -6*l + 122 - p = 0. What is the units digit of (-4)\/(l\/12) - (-2325)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-42)\/9)\/((-2)\/3). Let b(h) = 2*h - 36. Let c be b(17). Let o = u + c. Solve 25 = o*m - 10*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55727541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 0 - 1 - 404*j**2 + 818*j**2 - 413*j**2 - 3*j. Calculate w(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 3*g - 4*g)*(-5 + 2 + 4) + 860*g + 4287*g + 12440*g + 11478*g + 4416*g.\nAnswer: 33484*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 36\/37 (c) -1\/4 (d) -4\/3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146332, 292879, 439424, 585967, 732508?\nAnswer: 879047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**3\/6 - 4*n**2 - 132*n - 121. Let d(p) be the first derivative of b(p). Give d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -3*f + 2*d, f - 3 = 3*d. Suppose 0 = 4*p - 4*n + 9*n - 6, f = -3*p + n + 14. Let i = -14 - -25. Solve 5*w - 2*k - i = k, 0 = w - p*k - 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.15147738 and -0.2.\nAnswer: 6.95147738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 284 + -259. What is the common denominator of -26\/27 and ((-14)\/54)\/(-7)*390\/v?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(85)*-2 + sqrt(85))*2 + sqrt(85))*3)\/(sqrt(10)\/sqrt(2)*-5 + -3*sqrt(320)).\nAnswer: 3*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/155940 and -129\/415840.\nAnswer: 1247520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -3*l**8\/28 - 5*l**4\/12 - 5*l. Find the third derivative of m(g) wrt g.\nAnswer: -720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 k, and 1 x when four letters picked without replacement from vxvxvvvkbkkkxvkv?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24180.\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*b**4 - b**4 - 3*b**4)*(-3 - 2 + 3) + b**3 - b**3 + b**4 - 1538*b**4 - 3091*b**3 + 3091*b**3 to h*b**4 + n*b + q*b**3 + x + s*b**2 and give h.\nAnswer: -1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81468679 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -5 - (-12 + (8 - -6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8259960754?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*t = t - 21, 5*t = -3*v + 21. Suppose -v = 2*y - 6*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -105*i + 391 wrt i?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 827 + -817. Let a(u) be the first derivative of -14 + o*u - 5\/4*u**4 + 0*u**3 + 0*u**2. Differentiate a(v) with respect to v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 4*q**2 + 19*q + 32. Give k(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -488 or -487?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f - 91*f = -4*u - 20, 3*f + u - 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 11 - 1 = 0. Let j(t) = -2*t**2 + 11*t - 10. Let s be j(c). Find the third derivative of -25*x**2 + 31*x**5 - 9*x**2 + 3*x**s + 0*x**5 wrt x.\nAnswer: 1860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**7\/7 - 2*j**4\/3 - 3*j. What is the third derivative of w(u) wrt u?\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 10*n - 38. Let i(a) = -a**2 - 3*a + 11. Determine 7*i(w) + 2*k(w).\nAnswer: w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10.2. Let j = 3.11 + -0.11. Which is the nearest to 0.1? (a) j (b) g (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*d = 2, 3*r + 7 = -d - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -53. Let i be (-4)\/22 + (-13)\/22*j. Let s(x) = 4*x + 2. What is the least common multiple of s(i) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -551 * -0.722305.\nAnswer: 397.990055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 990 and 8427620?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1889927.\nAnswer: 13, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 253663 + -2?\nAnswer: 253661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 8:45 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*x**3 - 258*x**2 - 2*x?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183*y**2 + 183*y**2 + 1840*y**3 + 304*y**3.\nAnswer: 2144*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3625 - 2681. Solve -q - b + 940 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/24 + q**3\/6 - 3696*q**2. Let l(s) = 7*s. What is -l(u) + 2*r(u)?\nAnswer: -9*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-2688)*((7 - 1) + ((-3645)\/(-18))\/(-27))?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*m**5\/2 + 925*m**4\/2 + 53649*m**3\/2 + 456323*m**2\/2 - 1597948*m - 1799754 = 0. Calculate m.\nAnswer: -22, -1, 67\/13, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d - 22. Let g be b(7). Suppose g*s - 51 = 10*s. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -12*h + 19. What is p(3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 55 + 25. Let a = w + -10. Solve -5*g + 2*j = -a, g = -g + 3*j - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833513883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.029 and -8.929.\nAnswer: -8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 14. Let f = 34342\/333 + -124\/37. Let m = f - 100. What is the closest to -2 in -0.3, m, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -533 = -80*x + 79*x. Does 41 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from {d: 1, e: 1, i: 2, r: 2, j: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 26*l - 31 = -65*l + 1529 for l.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -195*t**2 + 107*t**2 + 646*t**2. Let z(q) = -2*q**2. What is z(b(o))?\nAnswer: -622728*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (18\/15)\/2*470\/(-2679)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 4. Let a = 51 + -257\/5. Is a at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 81 - -176?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 334635, 333949, 333261, 332571, 331879, 331185, 330489?\nAnswer: 329791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 2:32 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/2 + 4401*h\/2 + 794199 = 0. Calculate h.\nAnswer: -826, -641","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1139\/85 - ((-12)\/(-5) + -2). Let v(k) be the second derivative of 7*k**4\/12 - 11*k**3\/6 - 45*k**2\/2 - 2*k. Is v(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -51\/2*x**2 + 0*x**3 + 0*x**4 + 53\/5*x**5 - 27 + 0*x. What is the second derivative of r(o) wrt o?\nAnswer: 636*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112756253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1749 and 106?\nAnswer: 3498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**3 + 27*u**2 + 10*u - 50. Let s be h(-8). Let p = 10 - 8. Suppose -p*r = -s + 14. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -3 - 6)\/((-2)\/13). Let r = 65 - g. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/4 + 23*h**2\/4 + 353*h\/2 + 328 = 0.\nAnswer: -16, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 763 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: Let o = -0.17 + -0.13. What is the second biggest value in o, 2\/11, 5, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 125*k**2 - 1271*k + 61. Is y(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4425.648 rounded to the nearest integer?\nAnswer: 4426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -793274396 to the nearest 10000.\nAnswer: -793270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 4:36 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3 + 552*v**2 - 5220*v + 12800 = 0.\nAnswer: 5, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 12 = 0. Let v = 10 - n. Let i = 1 - 1. Solve i = -v*p + 5*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -5, 0.59, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12022 - -110100112?\nAnswer: 110112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*c**5 + (c + 3*c + 2*c)*(8*c**4 + 3*c + c - 7*c) + c**5 + c - c.\nAnswer: 47*c**5 - 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 45619261?\nAnswer: -45619259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = 3*i + 3, 2*s + 3*i = -4. Suppose -7*v = -s*v - 21. Suppose v + 9 = 4*c. Solve 2*t - c = 3*a - 0*t, -4*t = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 + 54. Solve -m*g + 4 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**2 - 16647340*t - 33294664 = 0. Calculate t.\nAnswer: -4161833, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(-1*sqrt(208) - sqrt(208)))\/(sqrt(400) + 2*sqrt(400) + sqrt(400) + sqrt(400)))\/((-3*sqrt(192))\/(-1*sqrt(108))).\nAnswer: -2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -330889*o - 661733. Give c(-2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1008 + -561. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/8)\/(r\/(r\/(r\/(r\/(r**31\/r))))) assuming r is positive.\nAnswer: r**(-235\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*h**3*y - 10*h**3 + 9*h**2*y - 67*h*y - 13*y - 50 wrt h.\nAnswer: -54*h*y - 60*h + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/574 and 109\/154?\nAnswer: 6314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 4)*(-12)\/(-20). Let u = 73 + -69. Factor 1\/4*y**j + 0 - 1\/4*y**2 - 1\/4*y**5 + 1\/4*y**u + 0*y.\nAnswer: -y**2*(y - 1)**2*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -153928641, -153928640, -153928639, -153928638?\n\"Answer: v - 153928642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20069 + 44428. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let u(z) = -68592*z - 3. What is m(u(o))?\nAnswer: 4704862464*o**2 + 411552*o + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**8\/1344 - 3*g**6\/80 - 2*g**5\/15 - 5*g**4\/32 + 1153*g**2. Factor o(c).\nAnswer: c*(c - 5)*(c + 1)**2*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8114 less than or equal to 478690\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - i - 256, 0 = -3*n - n - i + 108. Solve 20*r = 16*r + n for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7133 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17499 or -17689?\nAnswer: -17499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**2 - 33*u - 59. Calculate m(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -316316 (base 7) to base 3.\nAnswer: -2210111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -31. Suppose -59 - 11 = -u*l. What is the remainder when l is divided by (13 - -6) + -2 + 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/(-20))\/((-2)\/10). Let b(k) = k - 9. Let a be b(x). Sort -4, 4, a in decreasing order.\nAnswer: 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 4*x**2 + 0*x**2)*(2 - 2 - 2)*(-1147*x + 566*x - 424 + 578*x).\nAnswer: 6*x**3 + 848*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 4 + 5 + (-7 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(540)\/sqrt(5) + 0 + (sqrt(84)\/sqrt(7))**2.\nAnswer: -12*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 3. Let l(x) = -2*x**2 - 54*x + 26. Let y(i) = -l(i) - 5*u(i). Determine y(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4451741 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n + 634. What is the remainder when h(-62) is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 6*z - 8*z)*(-94*z + 43*z - 78*z) - 2*z - z**2 + 1 + 3*z**2 + 0*z**2.\nAnswer: 131*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.13 + 12.87. Let y = 12554 - 12555. What is the nearest to 1 in 4, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9150*i**3 + 6378*i**3 + 4556*i**3.\nAnswer: 1784*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.95448 millilitres to litres.\nAnswer: 0.07795448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 2?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*k - 94*k - 82 + 38 = -2*z, 2*k + 13 - 41 = -z for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 914139901*v**3*x**3 - 418519007*v**3*x - x wrt x.\nAnswer: 5484839406*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3336*w**2*z**3 - 41*w**2*z + 4*w**2 + 4*w*z + 11*z**3 - 3*z wrt z?\nAnswer: 20016*w**2*z + 66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -5.1. Let z = 4.79 + o. Let q = 0.11 + z. Sort -0.2, q, 0.5 in decreasing order.\nAnswer: 0.5, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3849098.4999999 + 3849097. Let d = -78.5 + 80. Let q = d + i. Round q to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 4*n - 12, -5*n + 3 = -2*n. Differentiate -z + 2 - 1 + x**2 + x**2 wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -212\/1281 - 1\/854. Which is the nearest to 0.1? (a) i (b) -1\/3 (c) 4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(153))\/((sqrt(81) - 2*sqrt(81)) + sqrt(9)) + 3*(1 + 0 + sqrt(833)))**2.\nAnswer: 114*sqrt(17) + 6146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2392, 5, -18521 in descending order.\nAnswer: 5, -2392, -18521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 - -3.7. Which is the third biggest value? (a) -8 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000710509493 to 7 dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qvv when three letters picked without replacement from {e: 2, v: 6, q: 9, k: 2}.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-10)*(-4 + 2). Let r = 1984.95 - 1985. Which is the closest to 1\/4? (a) -5 (b) s (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 349 - -76. Is o > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 22*l**2 - 14*l + 3236. Let k(d) = -9*d**2 + 6*d - 1293. Give -12*k(j) - 5*z(j).\nAnswer: -2*j**2 - 2*j - 664","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 1940, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252918 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-4))\/((-18)\/(-192)). Let s be 9*-4*(-7)\/14. Let t = s - n. Calculate the smallest common multiple of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, g: 5, m: 5, h: 5}. Give prob of sequence hhg.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -971.\nAnswer: 2\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 86678*x - 520032. Give v(6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3053?\nAnswer: 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -101*d**6 + 10*d**5 + 2*d**3 + d**2 + 4195*d - 1?\nAnswer: -12120*d**3 + 600*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -655*w - 11783. Determine u(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/481724 and -67\/940?\nAnswer: 113205140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/156)\/((-168)\/13104)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + i**2 + i - 2. Let r be c(-2). Sort -4, -5, r, -2 in ascending order.\nAnswer: r, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z + 26. Let j(m) = m - 1. Let l(w) = -3*j(w) - q(w). What is the remainder when l(-16) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g + 11*g - 3*g)*(-37 - 62 + 14)*(1 + 3 - 1).\nAnswer: -3825*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 14*w - 46. Let t be d(17). Suppose t*j - 7*j - 10 = 0. Is 7 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.14 (b) 14\/25 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342*h + 174*h + 208*h.\nAnswer: 40*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -77. What are the prime factors of 298\/n*27\/(-18)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -2*r + 24, 5*w + 3*r - 2 - 19 = 0. Suppose -w*c = -0*c - 198. What is the lowest common multiple of c and 30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 + 1070*k**4 + 20325*k.\nAnswer: 40*k**3 + 12840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t**(-17))*t)*t**(-25\/2))**(9\/5) assuming t is positive.\nAnswer: t**(-531\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 1203*j - 1202*j. Calculate the smallest common multiple of 3 and j.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 12*d + 15*d - 27*d. Let f(b) = 45*b. Give f(a(y)).\nAnswer: 90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 1 - (-93 + (6 - (5 - 14)))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7 + 7.3. Let j = -8 + g. Let c = -0.9 + j. Sort -0.5, 0.3, c in descending order.\nAnswer: 0.3, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567262549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-95)\/(-38) - (-11)\/(-2). What is the tens digit of (a + 434)\/(-2*3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30462452*y**4 + 18894775?\nAnswer: -121849808*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 10*h**2 + 27*h + 6. Calculate w(8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1000598, 2001192, 3001784, 4002374?\nAnswer: 5002962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*(-1)\/2*1. What is the common denominator of 4368\/(-2808) + (-2)\/6 and ((-380)\/(-144))\/(d\/(-6))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 8*l**2 - 6*l + 8. Let g be x(7). Solve v + a + 5 = 0, 2*v + v - a + g = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/(-30) - (-163)\/3 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13881 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 2*h. Let a(m) = -3*m - m**3 - h*m + 2 + 6*m - 2*m. Let p be a(0). Solve 2*j + 2*b + 9 = 1, -j - p = 3*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64464*l + 64430*l + 34. Let h = 21 - 12. Let t(y) = -y**2 + 7*y + 4. Let p be t(7). Solve p*m = h - l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvvvdhf. Give prob of sequence zd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccqq when four letters picked without replacement from {g: 1, p: 1, m: 3, c: 3, q: 6}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.03 + 0.03. Let s = b - -32.3. Let k = 1 + -2. What is the third biggest value in 0.5, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-2642)\/(-19815)*5\/9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 35 - (9 + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**2 + 134*b - 15. What is f(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4, 2*b = -2*c + 7 + 3. Let g = b + -5. Solve -g*v = -3*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*g - 5*b, 0 = -5*g - 3*b + 16 + 15 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 535\/6 + -89. Let z = 217.96 - 2.96. Let g = 218 - z. Sort q, 0, g in descending order.\nAnswer: g, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 47. What is the greatest common divisor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -12*h**2 - 73*h + 12. Suppose 7*x - 8*x = -g - 8, 5*x = 10. Let d be s(g). Calculate the highest common divisor of d and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - ((4 - -5) + -11 - (8 - (1 - -6))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**2 - i**3 + 7*i**2 + 5*i - 5*i as v*i**3 + t*i**2 + a*i + y and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*a**3 - 3*a**3 - 93*a + 101*a wrt a?\nAnswer: -66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 114 (b) -27 (c) -0.4 (d) -0.057\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(4\/(-188)) + -3. Suppose 8*o = 12*o + p. Let x(k) = -4*k - 5. Let n(b) = b**2 + 11*b + 15. Let l(m) = o*x(m) - 4*n(m). Differentiate l(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*s + 3*s. Let q be (-47)\/4 - (-9)\/12. Let t(g) = 2 - 2*g + 12*g + 4 + 5. Let z(f) = -2*f - 2. Give q*z(y) + s*t(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001078958066 rounded to 7 dps?\nAnswer: 0.0001079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93274 is divided by 46326.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3 + 37*i + 5 - 36*i. Let q(d) = 2*d + 8. Let p be q(-5). What is h(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7180322ug?\nAnswer: 0.0000000000007180322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h + 6. Suppose 3*i = -p - 10, -28 = 5*i + 4*p - 8*p. Let d be q(i). Which is smaller: d or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/17 - 74*z**2\/17 - 412*z\/17 - 336\/17.\nAnswer: 2*(z - 42)*(z + 1)*(z + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 2590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.43 + -1454?\nAnswer: -1453.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**5 - 28*r**2 + 62*r + 2 wrt r?\nAnswer: 100*r**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/69)\/(22\/(-253))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -1858*b**2 + 288*b + 2. Let l(j) = -1856*j**2 + 294*j - 1. Let q(i) = 3*g(i) - 2*l(i). Find the second derivative of q(x) wrt x.\nAnswer: -3724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 9*o - 12. Let t be x(-5). What is the highest common divisor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 + 58. Let j(t) = -t**3 - p*t**2 + 0 + 2*t + 0 - 4. Give j(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 + 74 = -16*f. Let l(k) = -4*k + 53. What is l(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147 divided by -3.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhh. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 161?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -36 + 63. Let a = q - 14. What is the highest common factor of a and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 29*g - 18. Let m(z) = 14*z + 9. Let o(a) = -2*b(a) - 5*m(a). Let c be o(7). Solve -4*l + 2 + 7 = f, -c*l = 4*f - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6667*g**2. Let u(a) = 352895*a - 352895*a - 2*a**2. Give u(d(b)).\nAnswer: -88897778*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7424.773 millilitres in litres?\nAnswer: 7.424773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2263911 + -124299.\nAnswer: -2388210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10031479?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p. Suppose s - 165 = -k + 35, -2*k + 5*s + 407 = p. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or 4783?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3764614 divided by -7\nAnswer: 537802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 1492 = 2*f, 18*m = 21*m - f - 2254. What is the highest common factor of 120 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67226, -268974, -605228, -1075994, -1681278, -2421086?\nAnswer: -3295424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118072*k*l + 769*l + 27 wrt k.\nAnswer: -118072*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 4*z**2 - 3*z. Let v be p(2). Suppose v*q - 716 = -2*q. Let f = -102 + q. What is the highest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b + 2*a + 1 = 0, b - 5*a = -6. Put 2, b, -2, 4 in decreasing order.\nAnswer: 4, 2, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4846886?\nAnswer: 2, 11, 29, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -24 + 112. Let x(z) = d*z**2 - 18*z**2 + 9*z**2. Let a(r) = -10*r. Give x(a(w)).\nAnswer: 200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (0 + (0 - -5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.09 (b) -2\/5 (c) 4 (d) 45\/2 (e) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s - 316005 - 60723 = -30*s. Is 79 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 y, and 1 j when four letters picked without replacement from {n: 1, y: 1, o: 4, j: 1, x: 8}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 876 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 53, 81, 111, 143?\n\"Answer: g**2 + 25*g + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 1109.\nAnswer: 9\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + 0 - 0)*-1. Let g(f) = f**3 + 4*f**2 + 5. Let d be g(l). Let n(j) = -d + j**2 + 5. Let v(r) = 2*r**2. Calculate n(v(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000094691 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -28, -24, -5 in ascending order.\nAnswer: -28, -24, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 843307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 - 69. Let r be (-5 - -10)\/((-10)\/h). Solve 2*w - 2*f - r = -4*f, 3*w = 2*f + 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*k = k - 78, -3*p + 5*k + 60 = 0. Calculate the remainder when p is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 15222*y**2 - 3101280*y - 160141696.\nAnswer: -2*(y + 104)**2*(y + 7403)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**7\/840 - b**6\/60 - b**5\/40 + b**4\/3 + 7*b**3\/2 - 6*b**2. Let p(n) be the first derivative of t(n). Determine p(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/14*1)\/(705\/(-705)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -308*d - 2118*d + 549*d - 2191*d - 492*d.\nAnswer: -4560*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (1 + -10 + -13).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 58 = -54. What is the first derivative of 4*i**2 - 51 + 10*i + 3*i - 14*i + h*i wrt i?\nAnswer: 8*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((323\/(-57))\/17)\/(5\/3)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6455247*m**3 + 15*m**2 + 374574?\nAnswer: -38731482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b + 8. Let m(y) = -4*y + 5. Let w(i) = -8*m(i) + 5*q(i). Let a(r) = 2*r. Determine a(w(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8273810849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-533)\/(-14) - (420\/294 + (-190)\/140)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooiiiro.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - a + 6*a**3 - 2*a. Let l(f) = f**2 + 3*f + 1. Suppose 5*w = -3*v - 4, 0 = -v - 0*v + 2*w - 5. Let m be l(v). Determine g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, v: 3, b: 3, n: 4}. What is prob of sequence gg?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**7\/2520 + t**6\/80 + t**5\/12 + t**4\/4 + 38*t**2. Let x(f) be the second derivative of u(f). Give x(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**2 + 12. Let p(r) = -2*r**2 - 66*r + 73. Let z be p(-34). Let q(h) = -5*h**2 - 2*h - 13. Let s(g) = z*q(g) + 6*c(g). Determine s(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f*f*(f\/(f*(f*f**(-1\/2)*f*f)\/f)*f)\/f*f))**(-38)*f*f*f*f\/((f*f*f**(1\/3))\/f)*f*f\/(f**(-3)\/f) assuming f is positive.\nAnswer: f**(311\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {s: 7, c: 1, j: 3, h: 3, r: 5}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841766.\nAnswer: 2, 97, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 1\/22, 14, -2\/3?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111944 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let m = -13 - -4. Let a be 2\/3 + 3\/m. What is the second biggest value in a, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2049623*a**3 + 2049625*a**3 + 0.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2117 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 3, 8 = p - 4*x + 18. Suppose -p*n = t - 451, t + 4*t + 3*n = 2248. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*m + 24, 3*m + 0*m - 4*k - 26 = 0. Suppose 2*a + m*g - 136 = 0, 3*a - 376 = -2*a + 4*g. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1*5*-3*-6)\/((sqrt(2178) - sqrt(2178)*2)\/(sqrt(9)\/sqrt(27))))**2.\nAnswer: 17100\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 26595*w - 8. Let u(g) = -11*g. Calculate v(u(l)).\nAnswer: -292545*l - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 9 - 2)*(2*a**4 + 3*a**4 - 2*a**4).\nAnswer: 54*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -140, -270, -394, -512, -624?\n\"Answer: 3*h**2 - 139*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1259.01 to the nearest 10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 times -66?\nAnswer: -2.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 997.9663 - 155.5173. Let w = 842 - r. Round w to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8705 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57, -52, -43, -30, -13, 8, 33?\n\"Answer: 2*m**2 - m - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 5*q. Sort 5, -1, -7, q in increasing order.\nAnswer: -7, -1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 44*z**3 - 11*z - 5. Let f(k) = -45*k**3 + 11*k + 6. Let h(d) = 5*f(d) + 6*r(d). What is the second derivative of h(g) wrt g?\nAnswer: 234*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**4 - 2*b**3 + b. Let f(m) = -11*m**5 - 3*m**4 + 6*m**3 - 21*m**2 - 4*m + 67. Let z(i) = 3*c(i) + f(i). What is the second derivative of z(h) wrt h?\nAnswer: -220*h**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 25*i**4\/12 - i**3\/2 + i**2 + 27*i + 8. Let n(c) be the first derivative of h(c). Is 22 a factor of n(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 3*k - 15. Find h such that -39*h**2 + k*h**3 + 102*h - 100 + 18*h + 20*h**2 - 26*h**2 = 0.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 96233791 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397507, -393341, -382035, -360019, -323723, -269577, -194011?\nAnswer: -93455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1772816928 by -16.\nAnswer: -110801058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9912 is divided by 1980.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-6)*y*y**(-2)*y**(-4\/7)\/y**(-5) assuming y is positive.\nAnswer: y**(-4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 201822*-1.2\nAnswer: -242186.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 14, q: 5}. What is prob of picking 1 w and 2 q?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(180))**2 + sqrt(80)*-6 + ((-3*(sqrt(5) + -1 - sqrt(5)) - sqrt(5))**2 - (sqrt(15)\/sqrt(3) + 2)).\nAnswer: -31*sqrt(5) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597, -962, -1093, -1014, -749?\nAnswer: -322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let g = 135 + -135. Let t = 0.5 - g. Which is the biggest value? (a) t (b) -1\/2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 - 33?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.9367 take away 122?\nAnswer: -65.0633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (31*s**2 + 706*s - 706*s)*(3 + 0 - 1)*(-73*s**2 - 4*s**2 - 28*s**2) in the form a*s**3 + o*s**2 + f*s**4 + n + c*s and give f.\nAnswer: -6510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -210 - -206. Let x = 20.2 - 20. Sort -11, o, x in increasing order.\nAnswer: -11, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/50 and -59\/55?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*p + 468 = 48*p. Let n(i) = i**2 + i. Let g(j) = 8*j**2 + 8*j. Let c(u) = p*n(u) + 4*g(u). Factor c(y).\nAnswer: -4*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-84))\/(-4)*(-15)\/5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.2 - 12.4. What is the smallest value in y, 5.1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -3*r**2 - 1\/30*r**5 + 0*r - 2\/3*r**3 - 5 + 1\/4*r**4. Let g(h) be the second derivative of b(h). Factor g(i).\nAnswer: -2*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12\/11 + 35\/22. What is the nearest to y in 2, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*a + 5*a + a**3)*(2 - 2 - 5)*(4*a - 2*a + 0*a) to j*a + b*a**2 + y + l*a**4 + p*a**3 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 35. Suppose u = -3*i + 19, -4*u + j = 2*i + 1. Calculate the remainder when 11 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -86\/165 and 87\/110?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -22709.23 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 180588, 3, -7.6, 2\/5.\nAnswer: -7.6, 2\/5, 3, 180588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, s: 2, c: 1, q: 1, i: 4, w: 3}. What is prob of sequence vcii?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1562967168656?\nAnswer: -1562967168649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 17 - 17 + 5*q. Let p(u) = u**3 - 2*u**2 - 4. Let a be p(4). Suppose d + a = -d. Let s(v) = 24*v. Give d*h(x) + 3*s(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/42)\/(5*(-6)\/90)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by (7 + -6)\/((-10)\/(-590))?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/936 and 71\/4.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144.9 or 87679?\nAnswer: -144.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 24\/382711?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -433 - -439. Calculate the common denominator of 44\/21 and 870\/30*(-1)\/n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 2*u - 1. Let h(f) = 2 - 142*f - 1 - 1 - 5 - 39*f + 322*f**2. Let n(c) = -h(c) + 5*w(c). Find the second derivative of n(p) wrt p.\nAnswer: -654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 558 and 414?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27712, -55450, -83188?\nAnswer: -110926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 5*m - 13. Suppose d - 2*d = 2*a + 6, 2*d - 16 = 3*a. Let l be p(a). Is 2\/l + (-504)\/(-81) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21023 (base 4) to base 15.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+-0.42\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3\/3 + 143735*v**2 - 3099034400*v + 9296672000\/3 = 0. What is v?\nAnswer: 1, 43120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 6. Calculate the remainder when 178 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 511 (base 13) in base 14?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 242*k**5 + 3762*k**4 + 3340*k**3 - 24752*k**2 + 24576*k - 7168 = 0.\nAnswer: -14, -4, 8\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 70. Sort -1, -3, a in ascending order.\nAnswer: a, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2920 is divided by 1433?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - 7*r - 5. Let v be n(-5). Suppose 2*b - 5*q = 223, -165 = -2*b - 5*q + 88. Suppose -v*z - 34 = -b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 18. Suppose f + 711 = c*f. Suppose 5*t - 3 = f. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 421*j**5 - 213*j**5 - 20*j**4 + 25*j**3 - 213*j**5 = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a1363 (base 11) to base 9.\nAnswer: 521152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4 - (-3 + -2)) + 1*2. Suppose b - 8 = -2*s + s, 0 = y*b + 4*s - 26. Calculate the highest common divisor of 15 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 1, -3321 in descending order.\nAnswer: 1, 2\/3, -3321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f + -9d668?\nAnswer: -9d659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 1. Let k(n) = 351*n - 10. Give 26*h(i) - 2*k(i).\nAnswer: -624*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -1\/6*d**3 - 2*d**2 + 0 + 0*d + 1\/8*d**4. Suppose -4*f - 27 = z, 0 = -285*f + 284*f - 8. What is m(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2799 + -2799.2302. Let o = -0.0298 + v. Which is the closest to -1\/4? (a) 4 (b) 2 (c) 2\/7 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2160 by -1.\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -851.8 * -4.\nAnswer: 3407.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 - 101101001110?\nAnswer: -101101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 43 = 5*r - 4*r, -20 = -4*a. Let f(m) = 6*m - 44. Let d be f(r). Let g be (6\/4)\/(12*3\/192). Calculate the highest common factor of g and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -613 (b) 2.9 (c) 1\/8 (d) -3 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28022068 and 16?\nAnswer: 112088272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 7499 - 2665 = -17*l. Calculate the smallest common multiple of 280 and l.\nAnswer: 3080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**3 - a**2 - 1. Let m(h) = 21*h**3 - 7*h**2 + h - 9. Let t(l) = -9*b(l) + m(l). Let f(j) = -j + 4. Let y be f(5). Calculate t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -533, -460, -295, -2, 455?\nAnswer: 1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17906 - 6314 + 891 = -687*f - 12249 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(567) - (-5 + sqrt(567) + 0))*-2)**2 + 1*sqrt(567)*-1 + (sqrt(567) - (1 + sqrt(567) + 0))**2)*1*5.\nAnswer: -45*sqrt(7) + 503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 59*n**2 + 108*n - 1. Let w(q) = 461*q. Calculate w(j(g)).\nAnswer: 27199*g**2 + 49788*g - 461","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3 - 3)*(-2 + 2 - 2*v**2 + 0*v**2 - v**2 - v**2 + (-4*v + 4*v + v**2)*(0 + 3 - 2) + (3 + 2 + 2)*(-v**2 + 2*v**2 + 0*v**2 - 1)).\nAnswer: -16*v**3 + 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/3)\/(2\/15). Suppose x - 4 = -0*x, 0 = 5*l - 4*x + 1. Suppose 0 = -l*f + 613 - 604. Solve -2*c = -f*c - h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7148 - 1.94. Let b = q - 0.0748. Sort -2\/5, 38, b, 2 in increasing order.\nAnswer: -2\/5, b, 2, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68140, -272424, -612850, -1089418, -1702128, -2450980, -3335974?\n\"Answer: -68071*r**2 - 71*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81712091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*t - 56 = 2*a - 162*t, 3*t = -104*a + 586 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 310946 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:48 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11221.\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10956, -10708, -10040, -8742, -6604, -3416?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*g + 265*g - 7429 = 230*g for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -0.52, 1\/36, 15240?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 35*h**2 + 21*h - 117. Let k be t(34). Let s = -251 - k. Is 44 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/45116 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3 = 3*j, 0 = -21*j + 24*j + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 41.81. Let y = -0.09 + k. Let g = 0.9 - -4.1. What is the smallest value in g, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 7*k**2 - 12*k + 97. Determine z(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2699 + 6848. What is the thousands digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 7 - 83. Let y(u) = 2*u**2 + u - 2. Let r be y(-4). Let v = r + -15. What is the remainder when j is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 0*q**3 - 2*q**3 + (-2*q**2 + 0*q**2 + 0*q**2)*(3*q - 7*q + 3*q) + 2*q + 2*q**3 - 2*q - 3 + 3 + q**3 + (q - 2*q - q)*(4 - q**2 - 4).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 m, and 1 z when three letters picked without replacement from {f: 1, z: 2, s: 3, a: 1, m: 4}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -3222200?\nAnswer: 3222130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 480 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2)*r)\/r*r\/(r\/((r*r*r**(-15)*r*r*r)\/r))*(r\/((r**(1\/9)*r)\/r))**(-7))**(-38) assuming r is positive.\nAnswer: r**(6232\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/9 + 68*g**2\/9 - 362*g\/9 - 48.\nAnswer: -2*(g - 27)*(g - 8)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-4)\/15)*(-2340)\/(-2925).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 1131*u**2 + 14*u. Let t(f) = -23*f. What is t(d(h))?\nAnswer: -26013*h**2 - 322*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(12\/(-19)))\/(1\/2). Suppose -5*k + 110 = -k - 2*j, 0 = 3*k + 2*j - 100. Suppose 55 = -5*u - k. Which is smaller: s or u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 - n + 1. Let j be z(1). Which is smaller: 0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 12257.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 232770411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2448996822.\nAnswer: 2, 3, 151, 300343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*x**2 - 268645*x + 179090.\nAnswer: 5*(x - 17909)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 96 = 4*k. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 3*t + 2*t)*(5*t**2 - 2*t**2 - 4*t**2) - t**3 + 4*t**3 - 2*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18887, 37753, 56619?\n\"Answer: 18866*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-10)\/(a**(-4)\/a)**6 assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -38 - ((-209 - -210) + (82 - 0)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1938 divided by 74243\nAnswer: 1938\/74243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(2 + (4 + sqrt(252) + -1 - (0 + -1*sqrt(252))) + -5))**2 + -5.\nAnswer: 1306363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 7:07 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 2, 9, -3 in descending order.\nAnswer: 9, 2, 0, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 10*b**2 - b - 48. Let k(g) = 6*g**3 - 50*g**2 + 7*g + 237. Let l(r) = 2*k(r) + 11*m(r). Find x, given that l(x) = 0.\nAnswer: -9, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126842797 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd46d8 (base 14) to base 7.\nAnswer: 120530661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.45 and 0.065248.\nAnswer: -0.384752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 (base 13) in base 8?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054450269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 38) + (-11 - (66 - -17)) + 24.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 1 e when three letters picked without replacement from sshvhsisshviviisses.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 6*r + 2. Let s be m(6). Suppose -s*d + 8 = -3*q, -2*q + 4 = q + d. Suppose q*y - 10 = -5*y. Solve y*t - 3*z - 9 = 4, -5*z = 2*t + 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 5*o**2 - 1 + 4*o**2 + o**3 - 2*o. Let v be m(-2). Let t be (-37)\/(-3) - v\/(-3). Solve t = c + 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*-11396953\nAnswer: -12536648.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16230608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7000, 56032, 189122, 448300, 875596, 1513040, 2402662?\n\"Answer: 7005*s**3 - s**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*f - 25 = -2*u, 35 = 5*u - 4*f. Suppose -2*d - u*p = -5*d + 57, 57 = 3*d + 3*p. Solve d = 5*v - 6 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 7*y - 56*y + 1036 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100011112201011 - -21?\nAnswer: -2100011112200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/323 and 7\/374?\nAnswer: 7106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/r**(1\/24)))**(3\/26) assuming r is positive.\nAnswer: r**(1\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1959*s**2*y**3 + 15*s**2*z**3 + s**2*z**2 - 68*s*y**3*z**3 - 19*s*y**3*z**2 - 25*s*y**2 - 4*y*z**3 wrt s.\nAnswer: -3918*y**3 + 30*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*((-89)\/(-3))\/1. Suppose w = g - 104. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*k**5*n + 2*k**4*n**2 + 68*k*n**2 + 5*k + 2*n wrt k?\nAnswer: 220*k**3*n + 24*k**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v**3 + 3*v**2 + 7*v - 6. Let q(n) = 9*n**3 - 5*n**2 - 15*n + 13. What is -13*a(o) - 6*q(o)?\nAnswer: -2*o**3 - 9*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -63, -73, -63, -27?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72 + 205. Suppose 2*u = 4*t + 110, p = 4*u - 4*t - 75. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70887 is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 120 = 16. Let i = 26416 - 26442. Is i >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-114)\/(-7284)) + 4\/38. Differentiate 51 - 78 - 106*c**4 - u with respect to c.\nAnswer: -424*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39726 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 11\/10 of a millennium?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, x: 7, e: 8}. Give prob of picking 1 x, 1 e, and 1 v.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102.2 - -91. Let i = x + 11. Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(125) - (sqrt(125)*1 - sqrt(125) - sqrt(125)))*-4)\/(-1*sqrt(125)))\/((sqrt(4840) + (sqrt(4840) - -1*sqrt(4840)))\/(sqrt(24)\/(1*sqrt(3)))).\nAnswer: -4 + 8*sqrt(5)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 18*i - 173. Let x be d(-25). Put 1, x, -2488 in increasing order.\nAnswer: -2488, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1705\/62*(1 - 2\/(-10)). Let h = b - 17. Solve -4*p = -0*p - h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 + -56. Let q = 21 + i. Suppose -6709 = -q*z + 3*h, 3*z + 0*h - h - 5038 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6576 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4352 a factor of 633965627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -163, -27, 5 in descending order.\nAnswer: 5, 3, -27, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**4 + 836*g**3\/3 + 399. Suppose y(x) = 0. Calculate x.\nAnswer: 0, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63813109?\nAnswer: 23, 2774483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c14 - -42509?\nAnswer: 416d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2154?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 6*h**2 + 9*h + 6. Let k(a) = 4*a**3 + 11*a**2 + 17*a + 11. Let w(c) = 6*k(c) - 11*z(c). What is the second derivative of w(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -1.2. Let j = k + -0.4. Let m be (-1)\/3 + 4\/(-6). What is the nearest to m in j, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2*g = -21, 4*w + 49*g = 48*g + 57 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9815818 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*r + 823 - 537. Let i(m) be the second derivative of -r*m - 3\/40*m**4 + 0 + 1\/5*m**2 - 4\/15*m**3. Factor i(s).\nAnswer: -(s + 2)*(9*s - 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 252333 + -252332.5. Suppose 29 = -4*t - 5*q, 4*t - 3*q + 2 = 13. What is the second smallest value in -2\/45, t, z?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131133 (base 4) to base 8.\nAnswer: 3537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.0765 + 103.5065. What is g rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -5*u**2 + 92*u + 88. Let i be l(9). Solve -5*y = 5*a - 25, 4*a + a - 25 = i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 2*v - 24, 91517 = y + v. Suppose -30*g + 4*g = y. Round g to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/6 + 186907*l**3\/3 - 11647358459*l**2\/2 + 733445880818*l\/3 + 750917105414\/3 = 0. Calculate l.\nAnswer: -1, 43, 186886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12551051 (base 6) in base 3?\nAnswer: -210021120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -19*j**2 - 2*j + 19. What is b(2)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2844 * -3194.\nAnswer: -9083736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -144.2, 0.3?\nAnswer: -144.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9, -1389, -3, -0.3, 1.85?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(4\/18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -103*p - 3. Let u be y(-5). Suppose 0 = -5*r - 53 - u. Let i = -99 - r. Calculate the greatest common factor of 56 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -785, -789, -797, -809, -825?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 9:52 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -498, -1441, -2852, -4737, -7102, -9953, -13296, -17137?\n\"Answer: -a**3 - 228*a**2 - 252*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 109154736 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -8*b**2 - 14*b + 17. Let u(d) = -3*d**2 - 5*d + 6. Let j(k) = -4*n(k) + 11*u(k). Let f(o) = 4*o**2 - 3*o + 7. Calculate -2*f(t) - 7*j(t).\nAnswer: -t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -o - z + 52, 0 = 5*o + 3*z - 372. Calculate the remainder when o is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 47440568 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.155, 1\/6.\nAnswer: -1, 0.155, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 1\/7, 3, -2\/11 in decreasing order.\nAnswer: 3, 0.4, 1\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/14)\/(4 + -1). Sort t, 8, -3, -1, -10.\nAnswer: -10, -3, -1, t, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(7) + 1 + 0)*3*-3.\nAnswer: -18*sqrt(7) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 49039012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 14*h**2 - 14*h + 5. Let g be o(-6). Suppose 0 = -172*n + g*n + 770. What is the greatest common divisor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -25*l**3 + l**2 - 7*l + 6. Let k(g) = -g**3 + g - 1. Calculate -i(b) - 6*k(b).\nAnswer: 31*b**3 - b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let u(f) = -25*f. Let p(l) = -99*l. Let r(b) = -3*p(b) + 11*u(b). Give r(m(t)).\nAnswer: -44*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -40\/2061 and -37\/2061.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r**2. Let n(m) = -1286*m - 2. What is l(n(t))?\nAnswer: -13230368*t**2 - 41152*t - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttttxtxtttt. Give prob of picking 1 x and 2 t.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 - 249555*d**2 + 748730*d + 998280 = 0.\nAnswer: -49914, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 300\/(-9)*(-60)\/25. Suppose -3*u + m = 5*w, 92 = 6*u - 3*u - w. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -502.\nAnswer: -1\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 459180 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 490 and 5250?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 369274, -0.02, 2\/3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1150, -1955, -2760, -3565, -4370?\nAnswer: -5175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.39*-0.5.\nAnswer: -0.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 33 - 1 = -4*b, b = -4*i - 23 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 + 3. Let d = -19 + 23. What is the third biggest value in 1\/2, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**2 - d**3 - d**2 - 9*d - 2*d**2. Suppose 4*q + 40 = 2*w, -15*w + 40 = -10*w. Calculate x(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575761 and 1629?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(1\/5))**(-33)\/(s**(-2\/7)\/(s*s**(-17))) assuming s is positive.\nAnswer: s**(-1474\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + (sqrt(1620) - ((sqrt(1620) - 3*sqrt(1620)) + -4)) + 1)*5 + 4)**2.\nAnswer: 41040*sqrt(5) + 1459444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s*s**(2\/3))\/(s\/(((s\/(s*s**(2\/11)*s)*s)\/s*s)\/s)*s*s**(-4)) assuming s is positive.\nAnswer: s**(49\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12184 greater than -14123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**3\/3 - 14. Let n(b) = 33*b**2. Give n(k(z)).\nAnswer: 33*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475854229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94, -91, -86, -79, -70, -59?\n\"Answer: r**2 - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 12:23 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2. Let c(f) = 160*f**2. Determine z(c(y)).\nAnswer: 128000*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 42. Calculate the smallest common multiple of o and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 - -70. Suppose 242 = -3*b + 4*w, 3*b - w + 212 = -3*w. Let a = m - b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10993, -45313, -102513, -182593, -285553?\n\"Answer: -11440*z**2 + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 3*h**2 + 0*h**2)*(3*h + 3*h - 4*h + (h + 4*h - 3*h)*(1 + 3 - 3))*(2*h**2 - 9*h + 9*h).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + -2*sqrt(19) + sqrt(171) + -5 - (((sqrt(152)*-2)\/sqrt(8) - sqrt(19))**2 - ((sqrt(19) - (-3*sqrt(38)\/sqrt(2) - sqrt(19))) + sqrt(19)))).\nAnswer: -175 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 13*b**3 + 16*b**2 + 4*b**3 + 2*b - 8*b**2. Let i(a) = -11*a**3 - 5*a**2 - a. What is 8*i(w) + 5*y(w)?\nAnswer: -3*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 + 66. Let w = k + 50. Let i(a) be the second derivative of a**4\/4 - a**3\/6 + a. Calculate i(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141*(7\/42*-1*14)\/(9436\/2696)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128180476 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/27)\/(21\/9)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*w + 6, 0*w - 3 = u - w. Suppose u = -38*c + 25*c + 338. Calculate the highest common divisor of 494 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3693889557?\nAnswer: 3, 17, 24143069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -269*j**2 + 2*j + 5. Let w(p) = -269*p**2 + 3*p + 7. What is -6*o(z) + 4*w(z)?\nAnswer: 538*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 11*u + 10. Let l be h(-7). Does 7 divide (-4)\/l + (-912)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 24. Let f be 4\/t - 3016\/(-28). Round f to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*i**6*l + 5162518*i**3*l**3 - 8657988*i**2*l - 12*i*l**3 wrt i.\nAnswer: 1440*i**3*l + 30975108*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56881281*m**4 + 4347*m + 121 wrt m.\nAnswer: 682575372*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*7\/((-42)\/4). Suppose u + 5 = 2*u. Suppose -2 = -2*w + 3*l - 3, -19 = u*w - 2*l. Sort -1, k, w.\nAnswer: w, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353 is divided by 303.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 51?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9527 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4347117 rounded to two dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3 + 1 + 13*z + 2 + 1. What are the prime factors of p(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 21 (b) 0.0894 (c) -61 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -479, -7, -72 in decreasing order.\nAnswer: -7, -72, -479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-23)\/414). Suppose f - 64 = m, -2*f - 3*m = x - 150. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (5 - 9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 10874*i + 4670. Give c(-1).\nAnswer: -6204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 275.989 - 276.3. Which is the closest to -1? (a) q (b) 5 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5013*h + 5011*h - 16 = 0, 5*h + 50 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 1. Suppose -2*d - 2*b = -14, -2*d + 5*d - 4*b = 0. What is the least common multiple of d and j(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993082545.\nAnswer: 5, 257, 1551037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 2*d + 28 - 70 + 31.\nAnswer: -2*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22271.\nAnswer: 22271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that o**2\/2 - 85*o + 5781\/2 = 0.\nAnswer: 47, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - f - s - 3 = 0, -s = -5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-5)\/(100\/(-1295)))\/(9\/216)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 110. Give k(-25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.322 - 2.422. Put p, 6, -1 in decreasing order.\nAnswer: 6, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*i - 12*i = -7548 + 5116 for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**4 + 15*p**3 + 5*p**2 - 3. Let n(b) = 12*b**4 + 164*b**3 + 56*b**2 - 32. Let z be 8\/(0 - (-4)\/16). Let u(y) = z*w(y) - 3*n(y). Factor u(l).\nAnswer: -4*l**2*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 12. What is the biggest value in -0.5, -1, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 22327.4m?\nAnswer: 22327400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128304?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 11. Calculate l(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 418270 from -370835.\nAnswer: -789105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**18*k**(2\/11))\/((k*k**(-26)*k)\/(k**(-8)*k)))**(-2\/53) assuming k is positive.\nAnswer: k**(-4\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 44043.15 decades?\nAnswer: 4404.315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (4 - 2)) + (27 - 34)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m = 105. Suppose 6*y - 20 = y. What is the remainder when m is divided by (1 - 3) + (18 - y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - r = -13, -f + 8 = 3*r - 3. Solve u + 1 = -f*j, j - u = -j + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -14*y - 23. Determine b(-8).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 434.85 from 10785041.\nAnswer: 10784606.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*i + 221*i = 648. Calculate the highest common factor of i and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218440 divided by -4?\nAnswer: -54610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 611290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/24)\/((-120)\/1350).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27794665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/6? (a) 3\/4 (b) 1\/3 (c) -2\/5 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-23 - -44) + 17 - -11.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 1. Let n(r) = r**3 + 2*r**2 - 5*r - 4. Let f be n(a). Solve -o + 15 = -f*o + 4*m, 3*o - 10 = m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -l, l + 1 = -3*n - 3. What is the lowest common multiple of 14 + -1 + 27 + -8 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07665374 rounded to three dps?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 45900 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -76, -92, -108, -124?\n\"Answer: -16*z - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1521278041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -0.07024?\nAnswer: 0.7024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 1:12 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 47486, 94948, 142384, 189788, 237154, 284476?\n\"Answer: -t**3 - 7*t**2 + 47490*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 4.1, -5 in ascending order.\nAnswer: -5, 4, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 61, 88, 113, 136?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*l**2 + 2*k**2*l - 1351*k*l**3 + 16*k*l**2 + 2*k*l + 17*l**2 + 11*l - 29324 wrt l.\nAnswer: 4*k**2 - 8106*k*l + 32*k + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -2*h - 8. Suppose 5*l + 5 - 34 = a, 0 = h*l + 5*a. Solve -4*o = -2*i + 12, 5*i + 30 = -0*o - l*o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, s: 5}. Give prob of sequence iiii.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from zjqds.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/5)\/((-4)\/10). Let y be ((-2)\/30)\/((-1)\/x). What is the third smallest value in y, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2345 and 420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**(-27\/5)*u))\/u)\/u)**(2\/9)*(u**(-1\/21))**(-38) assuming u is positive.\nAnswer: u**(82\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sddssdtddss. What is prob of sequence dd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1805 - -1804. Put 4, a, -1\/2, -2 in increasing order.\nAnswer: -2, a, -1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -20*q**3\/3 + 19. Let h(m) = m. What is h(f(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 8 - 5\/(-1). Suppose x*t = -5*p + 17, -3*t - p = 1 - 7. What are the prime factors of ((-16)\/40)\/(t\/(-50))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 540 - 3659?\nAnswer: -3119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c95 (base 16) to base 15.\nAnswer: -e4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**3 + 137*t**3 - 34*t**3 - 34*t**3 - 35*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z = -12*t + 3*t + t + 10, -2*z + 2*t = -8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 18*h**3 - h**2 + h + 2. Suppose 3*q - 5*j + 4 = 0, -2*j + 2 = -3*q + 2*q. Let d be s(q). What is the tens digit of ((-3)\/6)\/((-3)\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25538 + 82827. What are the prime factors of k?\nAnswer: 59, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1204516462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n**2 + 1322150*n = 0. What is n?\nAnswer: 0, 264430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 262*g + 164*g - 6628 - 34752 + 11134 for g.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2096063000 rounded to the nearest one million?\nAnswer: 2096000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (2 - (-4 - -1) - -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -2 (b) 6 (c) -2\/17 (d) -69 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + 2 + -14 + 13. Let l be (-1*5)\/((-5)\/5). Suppose l*y - 248 = -4*q, i = -y + 3*y - 4*q - 116. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 130 = 4*z - z, 3*i + 226 = 5*z. Suppose -5*b + 6 + z = 0. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1fb4a (base 16) in base 10?\nAnswer: 129866","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -376*v**5 - 841*v**2 wrt v?\nAnswer: -22560*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) 19 (b) -0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**9*a\/(a\/(a\/(a*a\/(a**(2\/11)\/a)))))**21 assuming a is positive.\nAnswer: a**(1890\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/(-2) - 15\/(-6). Let y be (j\/(-130))\/((-4)\/(-10)). Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10313 + -4013004?\nAnswer: -4023321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -12, -3*r - 27*j = -53*j + 22*j - 31 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 24*f + 215. Calculate a(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 - 28*h**3*y + h**2*y + h**2 + h*y wrt h?\nAnswer: 96*h - 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106625286?\nAnswer: 2, 3, 23, 29, 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 89*y + 2 - 177*y + 1 + 89*y + 0*y**2 + y**2. Suppose 3 - 9 = -2*z. Suppose -3*r + 7*r + w + 15 = 0, -z*r - 12 = w. Calculate v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.028 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 6 = -18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-14))\/(((-1)\/6)\/(182\/156))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**4 + 2*k**2)*(3*k - 2*k + k) + (3*k**3 - 3*k**3 + 2*k**4)*(6*k + 3 - 3).\nAnswer: 16*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-280)\/10)\/((6624\/(-23))\/8)?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -3*z, 4*q - 27 = -3*z - 2*z. Let u(a) = -a**2 + 11*a - 13. Let s be u(9). Suppose s = n - 0. Solve 0 = 3*i + 12, n*i = -2*t - q - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -101dd5 + 14?\nAnswer: -101dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*j + 33*j - 7662. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*i = -1437, 0*h - 4*h + 1147 = i. What is h rounded to the nearest 10?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 + 0)*(2421*g + 1265*g - 997*g)*(27 + 9*g - 27) to t*g + h*g**2 + j and give h.\nAnswer: 24201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 70*x**2 + 14*x - 431. Let m(l) = -23*l**2 - 5*l + 144. Let t(s) = 11*m(s) + 4*z(s). What is the derivative of t(a) wrt a?\nAnswer: 54*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose -r = z*r. Is 3 a factor of (0 + 8)\/(2 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:23 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**8\/1008 - a**7\/90 - a**6\/36 + a**5\/9 + 7*a**4\/9 + 16*a**3\/9 - 71*a**2. Let i(c) = 0. What is c?\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -17*u - 1. Let a(f) = 60*f + 3. Let b(g) = 5*a(g) + 18*n(g). List the prime factors of b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -4\/7, 229523, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-eight ninths of a day?\nAnswer: 9280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -27. What is the nearest to 0.1 in x, 1\/3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:16 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1366431?\nAnswer: 3, 11, 47, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683302.49 less than 1?\nAnswer: -1683301.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3.04, 0, 0.4, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 5*z - 365 = 0, 4*z - 369193 = 5*w - 368748 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714807937.\nAnswer: 8101, 88237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -81, -0.1, 3, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*p*s**2 - d*p + 3*d*s**2 - 18*d + 858*p + 35*s**2 wrt p?\nAnswer: 3*d*s**2 - d + 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrorororrrrrrr. What is prob of picking 3 r and 1 o?\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.3, 42910, -3\/4, 3, -3, 2\/11?\nAnswer: 42910","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5468*g**3 + 43672*g**2 + 65040*g - 864 = 0?\nAnswer: -6, -2, 18\/1367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1950*g + 7790. Calculate s(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/(-5))\/((-51)\/170))\/(253\/(-23))\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -3 (c) 4.0537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-124083)\/(-204)*(-6)\/(-333) + -11\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714 by -238.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 266211 to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 164251151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 27. What is the remainder when 32 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 25*c + 2. Is 5 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1700, -133, -1, 0 in decreasing order.\nAnswer: 0, -1, -133, -1700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7799195.86 and -0.1169?\nAnswer: 7799195.9769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3*y + 29*g**2*h*y + 2*g**2*y + 2*g*h*y + g*h + 2*g*y - 10*h wrt g.\nAnswer: -18*g*y + 58*h*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6276 - 6272. Calculate the lowest common multiple of 700 and p.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 18*i - 20*i. Let q(z) = z**2 - 5*z + i - 3*z**2 + 4*z + 3*z**2. Let y be (3 + -4)*24\/(-8). Give q(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11108, 11460, 12044, 12860?\nAnswer: 13908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5*b - 192. Give m(7).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -119712, -119725, -119738, -119751?\n\"Answer: -13*v - 119699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r + 10*r + 24 - 23 + 0*r**3 - r**4 + r**3 to the form m*r**3 + q*r + u + f*r**2 + k*r**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 - (-92)\/12)\/(2\/12). Suppose g*h - 1008 = p - 5*p, 2*p - 1008 = -4*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3639*c**2 + 4870*c**2 + 3502*c**2 - 95*c**2.\nAnswer: 11916*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 157*s**3 - 1247759*s**2 + 2*s + 56445336?\nAnswer: 942*s - 2495518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 - 2*j - 13*j**3 - 2 + 0*j + 13*j**3 + 5*j**2 to f*j**2 + k*j**3 + z + x*j**4 + t*j and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8618592 divided by -89777.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, -1547, 0.4, -4, -5, 1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -7494 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/56 - (-2)\/7. Suppose q = 4*z - 6*z + 44. Calculate the smallest common multiple of 6 and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:04 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 4, n: 2}. Give prob of sequence nuv.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 26*b**3 - b**2 + b - 1. Let m be q(1). Let h = m - 22. Solve -h*y + 8*y = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 2*l + 2*l + 0*l - l to w*l + j*l**2 + a + z*l**3 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1163*a + 45202 - 161502 for a.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 380 - 377. Suppose 0 = 2*q + 2*b - 1606, 11*q + l*b - 795 = 10*q. List the prime factors of q.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-117*m**2 - 90*m**2 + 81*m**2)*(4*m**2 - 6*m**2 + m**2) + 0*m**3 + 2*m**4 + m**2 - 3*m**3 + 2*m**3.\nAnswer: 128*m**4 - m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.3 - 7. Let r be 6\/(-9)*6\/(-4). Let f = r - -3. Which is the nearest to 0? (a) f (b) l (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199935 is divided by 176.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 940 and 8273410?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.15 * 46669\nAnswer: -7000.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 22*o**3 + 4*o**2. Let p be (-64)\/544 - 261\/(-51). Let u(b) = 22*b**3 + 5*b**2. What is p*f(q) - 4*u(q)?\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/1*(-10)\/(-20). What is the closest to l in -9\/5, -3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2)\/(1\/29). Suppose 2*r = 5*z + 53, -3*z = 4*r - 2*r - o. Suppose k - 56 = -r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25116\/25 (b) 0.4 (c) 2\/3 (d) -3 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5, 5*w = -11*r + 13*r + 106015. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -11*o**3 + 9*o**2 + 14*o + 3. Let m(d) = 4*d**3 - 3*d**2 - 5*d - 1. What is -8*m(k) - 3*t(k)?\nAnswer: k**3 - 3*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*k**2 - 13*k - 3*k**2 + 4*k + k**2 to the form d + u*k**2 + n*k and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4 - 1 - 2 - 1 + (-3 + 4 + 1)*(2 + 1 - 4) - 27 - 23 + 74)*(-2*l + 2*l + l**3 + (2*l - 6*l + 2*l)*(-2*l**2 + 0*l**2 + 0*l**2)).\nAnswer: 85*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -89, 4, 769, -5, -4 in descending order.\nAnswer: 769, 10, 4, -4, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 2*s + s - 9, 2*d - 5*s = 16. Let i be (-2 + 0)*(1 - 2). Solve g + d = i*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -604581 + -1564\nAnswer: -606145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000518061 to 5 decimal places.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.972858124 rounded to 3 dps?\nAnswer: -12.973","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g - 1866*g**3 + 622*g**3 + 619*g**3 + 623*g**3.\nAnswer: -2*g**3 - 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 18*-31\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21.00149 - -21. Round v to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 69*z - 88. Calculate the remainder when 3585 is divided by s(20).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9843\/10710 - 25*(-13)\/(-390).\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:37 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six sevenths of a week?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*g + 1248, -4*s = 8*g - 12*g + 1684. List the prime factors of g.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 341?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28912200 divided by -3.\nAnswer: 9637400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23584999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 7*i**4\/8 - 2*i**3 + 3*i**2\/4 + i - 5. Solve k(b) = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:45 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 193395 smaller than 193395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 26 = 2*w, -2*r - 660 = 2*w - 688. Solve t = 2*h - 3, -15 = 5*h + 5*t + w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 126887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 748 + 648. Let q(v) = v**3 - 8*v**2 - 20*v + 12. What is q(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*4.23.\nAnswer: 2.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12674433.243 rounded to the nearest one thousand?\nAnswer: -12674000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -55.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 7*s + 82 = 0, s - 492 = -2*v - 260 - 282 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13199*g = -13186*g - 13 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1498*s**2. Let y(n) = 3*n. Give y(f(l)).\nAnswer: -4494*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25477*t + 41*t**3 - 81 + 25477*t wrt t?\nAnswer: 123*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -295 - -304. Suppose -39*m - u + 9 = 0. Solve m = 3*j - 5*s + 24, 4*s - 8*s = 5*j + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8\/819 + 39955\/18018. Find the common denominator of f and -73\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2585 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 - -4) - (3 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 12:02 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 55?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -6\/19 (b) 1.5 (c) -113 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**4 - 581444*g**3 - 12209148*g**2 - 85461292*g - 199406480 = 0.\nAnswer: -145340, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, u: 1, s: 1, y: 2, f: 2, h: 1}. Give prob of sequence syy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 - 74 - 241 = -74*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 334\/2377 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(10879\/(-215) + 44)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*v**2 - 1 + 9*v**2 as n*v + a + b*v**2 and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/6*(93\/496)\/((-1)\/(-12))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1375*j**2 + 12349*j\/3 + 26 = 0 for j.\nAnswer: -26\/4125, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 354, 565, 780, 993, 1198, 1389, 1560?\nAnswer: 1705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-10 - -8)) + 12\/3. Let b(q) = q + 4. Determine b(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldrlx. Give prob of picking 1 l and 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/300 + 2*l**5\/75 + l**4\/12 + 2*l**3\/15 + l**2 + 3*l. Let k(x) be the first derivative of t(x). Factor k(j).\nAnswer: 2*(j + 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*v = -7*v + 211, -4*v = -2*n + 256. What are the prime factors of n?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2749, 3142, 3535, 3928, 4321?\n\"Answer: 393*j + 2356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 87 = 3*g. Let q = 45 + g. Is q a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 9*d**2 - 4*d. Let m be j(-3). Suppose 5*t + 2*l + 2 = 454, 3*l = -t + m. Suppose 3*g + 5*x = x + t, 4*g + x - 107 = 0. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhh when three letters picked without replacement from {d: 2, n: 1, b: 1, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010101010 (base 2) to base 4.\nAnswer: 22222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22340344 (base 5) to base 10.\nAnswer: -199474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 - 47. What is the highest common divisor of 7 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -191 + 13. Let q = 439 + j. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2107471165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + (sqrt(2736) - (sqrt(2736) - (sqrt(2736) + 1 + 4) - sqrt(2736))) + sqrt(2736))*5*-5*2)**2.\nAnswer: 900000*sqrt(19) + 61622497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29391 and 606.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/216 + 1\/(-2). Sort -3, z, -0.1 in increasing order.\nAnswer: -3, z, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1996905 + 22?\nAnswer: 1996927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21138?\nAnswer: 2, 3, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 10897.\nAnswer: 43588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w - 21 - 91 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 13*a + 16. What is n(13)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*o - 5*s, o + 14 - 1 = -5*s. Let z(f) = -4*f**2 - 7 - 8*f + 17*f + 3*f**o + 3. Let x be z(8). Solve -9 = x*y + 5*d + 23, y + 2*d = -11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s**3 - 8*s**3 - 3*s**3 + (s**3 + 2*s**2 - 2*s**2)*(-1 + 3 + 1)*((-3 + 4 + 1)*(4 - 5 - 1) + 71 - 32 - 4) to v*s + o*s**2 + c*s**3 + b and give c.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**3\/5 - 22*m**2\/5 + 14*m - 10 = 0. What is m?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 18*t + 203. Let q(b) = 2*b**2 - 29*b - 305. Calculate 5*q(o) + 8*s(o).\nAnswer: 2*o**2 - o + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2063*l**5 + 3*l wrt l.\nAnswer: -41260*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1)*4*237\/(109494\/(-132))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3070.\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3\/3 + 2*f**2 - 3*f + 117. Calculate b(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*v)*(-1 + 3 - 4) - 3*v - v + 3*v + (2 - 2*v - 2)*(3 - 2 - 3) + 5*v + 0*v - 3*v + 0*v - 3*v + 5*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -11.5. Let b = 0.1 + 0. What is the nearest to b in -5, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-1))\/(1\/3). Suppose -x*r = -r - 40. Let y be 2\/8 - 1\/r. Which is greater: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**1)\/((o*(o*o*o**(2\/7))\/o*o)\/o) assuming o is positive.\nAnswer: o**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 + 1899*u - 985*u - 185 + 1801*u.\nAnswer: 2715*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 86*p**3*r - 83*p**3 - 2*p**2*r + 33*p*r - 1824402*p - 2606*r wrt r.\nAnswer: 86*p**3 - 2*p**2 + 33*p - 2606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 8 - 36. Suppose -47 = 4*a - z. Round a to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n**3 + 4*n**2 + 5*n + 2. Let s(k) = -14265 + 7132 - 2*k**2 - 5*k - 10*k**3 + 7132 + 2*k + 2*k**3. Give -3*j(c) - 5*s(c).\nAnswer: -5*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3\/2 - 3*z**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 - -17. What is the second smallest value in -1, -0.2, o?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 10 + -1 + (4 - 5) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 times 36\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-1 - 12\/8). Is 651 - (-5)\/(1*(-10)\/o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/9)\/((-72)\/(-108))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 309561219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 6*x**2 - 10*x + 10. Let a be d(4). Differentiate 27 + 47*l - 47*l - 10*l**a with respect to l.\nAnswer: -20*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10686 or 53434\/5?\nAnswer: 10686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -202 >= -929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58564909 and 7.\nAnswer: 409954363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kyky when four letters picked without replacement from kkkyy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -o + 14*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1064?\nAnswer: 3\/532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4731431 is divided by 27.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) -5 (c) -1 (d) 318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7386628311 to the nearest integer?\nAnswer: 1948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3 - 498*s**2 + 2428*s + 2928 = 0.\nAnswer: -1, 6, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -897 times -265\nAnswer: 237705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 6. Give n(5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*b - 98 + 108 = 0, -5 = -4*k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -1\/2 (c) -140\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 + 46*g\/7 - 304\/7.\nAnswer: -(g - 38)*(g - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**4\/4 - 7*f**3\/9 - 11*f**2\/3 + 8*f\/3 + 29. Find r such that b(r) = 0.\nAnswer: -2, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwo when three letters picked without replacement from {w: 12, o: 3}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1217 + 11a0?\nAnswer: 23b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -115, -235, -343, -433, -499, -535, -535, -493?\n\"Answer: b**3 - 127*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4939446384 to the nearest integer?\nAnswer: 70281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/217080 and -68\/63?\nAnswer: 1519560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/(-4 - -13) - (80944\/80948 - -3). Is 1 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((4 - 4)\/(-3) + 2)\/8. What is the second biggest value in s, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 9*y - 17 = -2*j, 3*y + 8 = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 7*n**2 - 14*n + 9. Let s be d(8). Let r be (-84)\/(-35) - (-6)\/10. Let t = r - s. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 192 = -15*k. Let b be k\/(-22) - 90\/495. Suppose 1\/5*i**b + 2\/5 - 3\/5*i = 0. Calculate i.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341432 (base 6) to base 16.\nAnswer: -70dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*a - 2*a. Let r(y) = y**3 + 5*y**2 + y + 1. Let f be r(-5). Sort -2, a, f.\nAnswer: f, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(484))\/sqrt(11))\/((sqrt(4) - -2*sqrt(4))*6).\nAnswer: sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/((-136)\/8 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 9*q - 99. Let v = 73 - 51. Is 11 a factor of b(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g**2 + g - 2. Let l be t(-2). Suppose -104*a = -l*a - 2004. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 23.21, -5, -0.6, -1\/4, 0.\nAnswer: -7, -5, -0.6, -1\/4, 0, 23.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 863 + -868. Sort 3, 22, m, 5 in ascending order.\nAnswer: m, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 185, 271, 355, 437?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 24*s + 83. Let c(w) = -2*w**2 - 10*w - 44. Let b(m) = 3*a(m) + 5*c(m). What is b(-8)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -101*q**3 + 9*q**2 + 42*q - 50. Let b be i(33). Round b to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/9938 and 101\/10?\nAnswer: 49690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.4 - 14. What is the nearest to -2\/15 in 0.5, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -188*v**2 - 173*v**2 + 359*v**2. Let j(g) = 14*g. What is p(j(x))?\nAnswer: -392*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:33 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483 is divided by 99.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-117)\/(-189) + 4\/(-14)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -20*i**2. Let a(u) = -3*u**2. Determine a(t(w)).\nAnswer: -1200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -9820 = 0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 1. Let i be (-100)\/(-16)*(3 - 165\/75). Let g(w) = -2*w - 25. What is i*j(r) - g(r)?\nAnswer: -3*r + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 61*i = 63*i, -i - 13 = 4*y. Let x = 407\/35 - 61\/5. Which is the fourth smallest value? (a) 2\/7 (b) 6 (c) x (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.86, 552.3, 4?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 - -205. Suppose 2*w - 3*w - m = 4*l, -31 = l - 3*w. Is l at most as big as -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-2) + 1 + -7. Let s(u) = 5*u + 107. Let f be s(-22). Sort z, f, -2 in ascending order.\nAnswer: z, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*n = -8 - 13, 3*g + n = -11. Which is the biggest value? (a) g (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.4818788?\nAnswer: 1.9275152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*b + 6048277, 604*b - 601*b = 2*n + 3628961. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2 - 24*s - 29*s + 54*s. Let l(b) = -1. Calculate -2*l(a) + u(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 1 + 19 + -11. Suppose -2*f = -w*g - 120 + 36, 2*f - 84 = 2*g. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1740514 divided by 562.\nAnswer: -3097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3799.404 milligrams in micrograms?\nAnswer: 3799404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 3*t - 3*t)*(-2 + 1 + 2) - 5*t + 2*t + 2*t + (0 + 0 - 3*t)*(-5 - 3 - 1) - t + 0*t - t as k + m*t and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -123?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 33*d + 14*d - 40*d. Let b(q) = 3*q - 11. Calculate b(s(r)).\nAnswer: 21*r - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.4 - 8.4. Let o = 33 + u. Which is the closest to -2\/7? (a) -5 (b) -0.4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126.663+-322\nAnswer: -448.663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 9 = -6. Let x(n) = -7*n + 11. Let o(g) = 4*g - 6. Let b(d) = q*x(d) - 5*o(d). List the prime factors of b(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*n + 212882 + 142792. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5*o**4\/24 + 79*o**3\/6 + 48*o**2. Calculate the remainder when 142 is divided by j(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006546 rounded to 5 dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 1:23 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, r: 4}. Give prob of picking 1 r and 2 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -2*n - 5*a, -9*n + 429*a + 28 + 20 = 433*a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 3*t + 38, 3*t - 14 = -f + 11. What are the prime factors of f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -51?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-3 - 1)*385\/308\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 420\/1155*(-781)\/(-2)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.061 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -67*r**2 + 7*r + 9. Calculate c(-1).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -1, 1, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.598616 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74292843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5 + 270*b**4 + 9084*b**3 + 8816*b**2 = 0.\nAnswer: -76, -58, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15009 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384 - 384 - 385 + 2*v**2 + 1153 - v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12044, -2\/7, -38, -3, 26.\nAnswer: -38, -3, -2\/7, 26, 12044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-712188)\/9485)\/438)\/(19\/(-14) - -2).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h + 129 = 75 + 236 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -34152250 rounded to the nearest 100000?\nAnswer: -34200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.69187 years in millennia?\nAnswer: 0.00869187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5777 (base 8) to base 10.\nAnswer: 3071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(sqrt(91)\/sqrt(7)*-1)**2 - 3*-1*(sqrt(832) + (sqrt(832) - (sqrt(832) + 5))**2).\nAnswer: 54 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 4*m + 84 = -2*y, -212 = 4*y + 3*m. Which is bigger: -51 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 12. Let g be -6*-2*2\/12. Suppose x*a + g*a = 12. Solve a*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3\/23, 2, -3\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*f + 23*f + 2640 = -162*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**2 - 70*n - 740. What are the prime factors of j(66)?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**7\/168 + r**4\/6 - 5*r**3\/6 + 5*r. Let m(x) be the second derivative of d(x). What is the first derivative of m(z) wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = -5*n + 3*z, 383 + 163 = -5*n - 3*z. Let g = -79 - n. Suppose 0 = -4*t - g + 184. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3184*v - 6*v**4 - 378*v - 167*v**5 - 177*v**5 + 328*v**5 - v**2 wrt v?\nAnswer: -320*v**3 - 72*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6056531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 154455, 154469, 154497, 154545, 154619, 154725?\n\"Answer: q**3 + q**2 + 4*q + 154449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256.73 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*y**2*z**3 - 136*f**2*z + 2*f*y*z**2 + 607*y**2*z**3 - z**3 - 1 wrt y?\nAnswer: -2*f**2*z**3 + 1214*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 580762.2?\nAnswer: 580762.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b = -1660 - 2840. Calculate the highest common divisor of 40 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 14004*j + 209385.\nAnswer: 3*(j + 15)*(j + 4653)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269064 is divided by 1340.\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 1735*q**2 + 3485*q + 1745.\nAnswer: -5*(q - 349)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/717, -2, 2625?\nAnswer: 2625","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 5*v**2 + v + 6. Let f be u(-6). Let h be (-530)\/(-6) - f\/54. Suppose 5*t = 3*x - h, x - 29 = -0*x + 2*t. List the prime factors of x.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 - 2 - (33 - 34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)*g**(-10) assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16476, -65926, -148340, -263712, -412036, -593306?\nAnswer: -807516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97\/4 - -24. Which is the second biggest value? (a) -4 (b) -2\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 27 = 3*u, -1076 = -4*u + a - 1060 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -n**5\/30 - 154*n**2. Let b(p) = 28*p**2. What is b(k(v))?\nAnswer: 112*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*l + 1739323 - 1748197 = 0 for l.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31375*k**2 + 895 wrt k?\nAnswer: 62750*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 11:14 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14414 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24910, 1, -815 in ascending order.\nAnswer: -24910, -815, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 + 22*d**2 + d + 10. Suppose -h - 1 + 6 = a, 0 = 2*h + 8. List the prime factors of x(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2028 rounded to one decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.1, -14, -0.3 in ascending order.\nAnswer: -14, -0.3, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 382b8?\nAnswer: 382b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bier when four letters picked without replacement from {e: 2, c: 2, i: 4, b: 3, r: 8, x: 1}?\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2694 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.8 + 7. Let i = -3.18 + b. What is the closest to 1\/2 in -2\/13, i, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -y + 5*p, -2*p + 12 = 6*y - y. Solve -2*o - y*u - 10 = 0, 2*o + 0*o + u = -9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and -0.0993988219319.\nAnswer: -0.4993988219319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1655290 by 127330.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0)*2 + 0 + (sqrt(17) + 1)**2 + 1.\nAnswer: 4*sqrt(17) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c - c)*(c + 0*c - 3*c) + 0*c**2 + 2*c**2 - c**2 + ((3 - 1 - 4)*(0*c**2 - c**2 + 2*c**2) + 7*c**2 - c**2 - c**2 - 5*c**2 + 2 - 2)*(-29 + 11 + 5).\nAnswer: 29*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 31739.93ms in seconds?\nAnswer: 31.73993","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, v: 1, t: 3, p: 5}. What is prob of picking 2 k and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/36)\/((-291)\/(-776))*216\/(-336)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 553937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 5 = -5*x, -3*j - 13144*x + 13142*x + 7 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -252251\nAnswer: 3\/252251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9 = 2*j, 5*x + 789*j + 2 = 788*j. Is x < -78\/229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n + 18. Let o = -5 - -13. Calculate the remainder when l(o) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2*i + 3*i + 7885, -2*i - 10 = 0. Suppose -6*j + t + 1074 = 0. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27135 divided by 95.\nAnswer: -5427\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12 = 2*i, -i = -5*c + 2*c - 6. Suppose -4*q = 2*v - 4, -4*q + i = 4*v - 3*v. Suppose -2 = -0*s - q*s. Solve -2*r + s = -9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 - 49*x + 197. Calculate n(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3507807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, x: 7, l: 1, g: 2}. Give prob of picking 1 l and 1 x.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - (11 - (-1 - -6))) + 4. Solve 6*u - m = 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012220122 - -112112?\nAnswer: -1012101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601018 is divided by 189?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-9\/7)*t*t**(-7) assuming t is positive.\nAnswer: t**(-51\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*r - 3*r. Let m be (5 + 1)\/3 + -2. Let o = r + m. Solve c - 20 = 4*c - 2*y, -c - 16 = -o*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.078 from -474805.\nAnswer: -474805.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*n**2 - 14*n**2 + 25*n**2.\nAnswer: 79*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82.7 + -1574.8. Let x = d + 1620. What is x rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3322800 by -63900.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*f + 150, -2*f + 455 + 271 = 5*g. Let o = g + -139. Calculate the common denominator of -2 - ((-32)\/10)\/1 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*g = 3106 - 114 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*n + 7, -3*t - 7*n + 10*n = 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -371, -704, -1045, -1400, -1775, -2176, -2609?\n\"Answer: -r**3 + 2*r**2 - 332*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -6. Let o = 7 + -3. Determine f, given that 1\/4*f - 1\/2*f**k + 0 + 1\/4*f**5 + 0*f**2 + 0*f**o = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d + 140*d**3 + 115*d**3 + 53*d - 26*d.\nAnswer: 255*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 5\/2016*w**8 - 1\/126*w**7 - 1\/48*w**6 + 0*w**3 + 0 + 5\/36*w**4 + 1\/18*w**5 - 41*w**2 + 0*w. What is b in l(b) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((((v\/(v*v**(-5)))\/v)\/v)\/v))\/(v*v\/((v*v**(1\/10)*v)\/v)*v)*v**3*v\/(v**(-2\/13)*v*v) assuming v is positive.\nAnswer: v**(-97\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*z = 5 - 1, -3*z = -4*x + 6. Let n(g) = -2*g**3 + 20*g**2 - 3*g + 30. Let r be n(10). Solve r = -x*j - 2*j - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nqdt when four letters picked without replacement from {q: 4, t: 2, n: 2, d: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let g(d) = 2*d + 12. Determine g(c(l)).\nAnswer: 4*l + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/16 and (41\/10)\/((-1)\/((-25)\/10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9319825.\nAnswer: 5, 17, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 + g**3 + 468656*g - 468656*g.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*r + 3*r. Suppose 2*w - 18 = 3*w. Let h be 75\/(-27) + r\/w. Which is the smallest value? (a) -4 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2. Let h(f) = 3*f**2. Let g(x) = x**2. Let n(z) = 9*g(z) - h(z). Determine n(w(m)).\nAnswer: 96*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-1\/9)*k*k*k*k)\/(k**(4\/5)*k*k))**(2\/11))**(-37) assuming k is positive.\nAnswer: k**(-6956\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (10\/50)\/(308\/1155)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9\/17 + -857\/1683. Let f(s) = -2*s**3 + 3*s**2 + 2*s. Let d be f(2). Is d equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -42964\nAnswer: 42964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -440013 divided by 146671\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 2*a - 3. What is the units digit of i(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 20*t - 80. Suppose 518*p - 77 = 507*p. Calculate the remainder when 53 is divided by u(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 - 4*u**2 + u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790 = 2*n + 3*n. Suppose -5*p = 2*l + n, -p + l - 34 = 2*l. Let c be ((-6)\/(-5))\/((-9)\/p). What is the highest common divisor of c and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/1677, -0.05, -0.3 in ascending order.\nAnswer: -0.3, -0.05, 4\/1677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3745280 by -616.\nAnswer: -6080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/((sqrt(32)\/sqrt(2))\/sqrt(4)))**2 + -1 - (sqrt(60)\/(sqrt(72)\/sqrt(6)) - (sqrt(5)*3 + 3))**2.\nAnswer: -12*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 200598 (base 13) in base 5?\nAnswer: 142243211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*i + 18453 = -k, i = 3*k + 18459. Let m = -1549955\/84 + i. Calculate the common denominator of m and 35\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 4, z: 6, h: 5, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 113a - -1?\nAnswer: 113b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1299*g**3 + g**2 - 2375*g?\nAnswer: -7794*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14781 by 5761.\nAnswer: 14781\/5761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 80962764*p**2 + 236974148.\nAnswer: 161925528*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/6987021 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121030 (base 5) to base 7.\nAnswer: 16110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3538 + -3102. Round z to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iooi when four letters picked without replacement from {p: 3, a: 1, i: 4, z: 1, o: 8}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913619.\nAnswer: 7, 130517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -22 - (219 + -242)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(243)*1*1 - (-1 + sqrt(243) + -3)))*-1)**2*2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 5 - -3)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 266 = -27*o. Let t(j) be the second derivative of -25*j**3\/3 - j**2\/2 - j. Is t(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4148677 (base 9) in base 16?\nAnswer: -21d5e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b + 8*b - 36 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8120592 by -6.\nAnswer: -1353432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 - 11924145*i**3 + 35772453*i**2 - 35772459*i + 11924154.\nAnswer: -3*(i - 1)**3*(i + 3974718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1161638.\nAnswer: 2, 23, 25253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/12 + h**3\/2 + 8*h**2 + 59*h - 51. Let y(l) be the first derivative of k(l). What is the first derivative of y(i) wrt i?\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (1*sqrt(112)*5 + 4 - 2*2*(sqrt(112) + 3 - sqrt(112))))**2.\nAnswer: -14605 + 2200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 7*j + 21 = 0. Suppose -j*n + 3 = -0*f - 2*f, 0 = -5*n + 5. Suppose -2*b = -f*b - 16. Solve 0 = -3*y - y + b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8690862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4807009.\nAnswer: -3\/4807009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*j**2 + 8*j**2 - 47*j**2)*(-8*j - 45 - 9*j + 16*j).\nAnswer: -58*j**3 - 2610*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.612365 minutes?\nAnswer: 216741900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -16*l + 974. Give g(61).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/(140\/(-280))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 52. Solve 0 = -2*i - r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1974 = -2*z. Suppose 4*r - 2*u = z, -4*u + 2*u = -5*r + 352. List the prime factors of -4*2\/4 + r + 2.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 580 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-14))\/(10\/70). Suppose -4 = -p*m + m. Suppose -g - m = -16. What is the remainder when 47 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2729 + 2719 = 2*f - 4*y, 0 = 2*f - 3*y + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 9:36 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, q: 2, a: 1, e: 1, v: 1}. Give prob of sequence qeuq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8775816000?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 9 - 7 - 3*c)*(-c**2 - 4 + 4) + 34843*c**2 - 34843*c**2 + 213*c**3 to the form m + y*c**2 + z*c + v*c**3 and give v.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**5\/60 + n**4\/24 - n**3\/6 - n**2. Suppose 0 = j + 3*u - 15, 4*j + 2 = -2*u + 12. Give v(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26608198, 26608202, 26608206, 26608210, 26608214?\nAnswer: 26608218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 10:43 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1503490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(2592) - sqrt(2592)*-1 - sqrt(2592)) + sqrt(2592))*5*6)\/(-3*-3*-2*sqrt(441)))**2 + -4.\nAnswer: 3004\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/28 + 172\/(-14). Let x = w - -15. Factor 2 + 10*v + 23\/2*v**2 + 7\/2*v**x.\nAnswer: (v + 1)*(v + 2)*(7*v + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 6. Let w be p(-3). Suppose -o + q = -1, 0*q - 2*q = w*o - 13. Calculate the greatest common divisor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1434\/(-1195)*870\/(-4). Calculate the greatest common divisor of f and 580.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43171, -172646, -388429, -690526, -1078943, -1553686, -2114761, -2762174?\nAnswer: -3495931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 314*d - 1866 - 1876 + 2*d**3 + d**4 + 3742 to the form c + m*d**2 + w*d**3 + h*d**4 + a*d and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10442223 (base 5) in base 6?\nAnswer: 2000330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 16 = -20*r + 21*r, 4*r = 4*w + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 27*v**2 + 3*v + 174. Give w(-27).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 2*t**2 + 20*t - 17. Determine s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -31*l**2 + 3. Let s(n) = -15*n**2 - 3*n + 151. Let x(j) = -15*j**2 - 4*j + 201. Let b(v) = 4*s(v) - 3*x(v). Calculate -5*b(c) + 2*p(c).\nAnswer: 13*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/28)\/((3\/3)\/((-504)\/(-539)) + -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11495844691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 149231?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1.2. Let m = 0.2 + w. Let r = -0.06 + -0.04. Which is the closest to r? (a) m (b) 1\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:31 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 202753257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/17586 and -113\/873438.\nAnswer: 2620314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392.561 less than -902.3?\nAnswer: 490.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 90471 at most 90445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2022012 (base 3) to base 13\nAnswer: 9c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23238 + 23010. Is -211 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -4\/9 (b) -3\/7 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 20688 and 0.4.\nAnswer: 20688.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*m - 309 - 87, 0 = a + 2*m + 408. Let b = 404 + a. Solve 2 = -2*w - b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 175*x + 5431. Determine r(-31).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/100 and -17\/140?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**7\/840 + x**6\/90 - x**5\/24 + x**4\/12 - x**3\/3 - 2. Let o(y) be the third derivative of g(y). Factor o(t).\nAnswer: -(t - 2)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((504\/54)\/(-7))\/((-78)\/(-27)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 187 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*q + 28 = 528*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - i + 16 = -2*i, -4 = 4*i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24\/(-16) + 11\/2. Sort -1, v, 3 in increasing order.\nAnswer: -1, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - i**2 + 1 + (3 - 3 + 3)*(0*i**2 - i**2 + 0*i**2) + 68*i**2 + 54338 - 54331 + 66*i**2.\nAnswer: 130*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -2) + -4 - 1. Let y = -2 + 12\/5. Does s = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184657?\nAnswer: 11, 16787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 11, r: 3}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-680)\/(-60)*(-102)\/(-68)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 113086849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from aaawaaawwawaaa.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.44406405 to four decimal places.\nAnswer: 1.4441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -54765, -55224, -55673, -56106, -56517, -56900?\n\"Answer: z**3 - z**2 - 463*z - 54302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4*(-15)\/(-2080))\/9. Is 1 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38683 and 193415?\nAnswer: 193415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3638*h**3*l**2*t**2 + h**3*l**2 + 2*h**2*l**2*t**2 + h**2*l**2*t - 3*h*l**2*t**2 - 881*h*l**2 wrt h.\nAnswer: 21828*l**2*t**2 + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18670036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -771921070555 and -3.\nAnswer: -771921070558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m**3 + 0*m + 0*m**4 + 0 + 6*m**2 - 1\/40*m**6 + 1\/10*m**5. Find the third derivative of b(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 8. Let 2*j - 3*j**d - j - 9 - 10*j - 3*j = 0. Calculate j.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 489917?\nAnswer: 37, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20, -5*z + 4 + 1 = 4*c. Suppose 5*f - 200 = z*x, -3*x - 2*x = 3*f - 136. Let n = f - 27. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294438264803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -232, -1021, -2350, -4225, -6652, -9637, -13186?\n\"Answer: -v**3 - 264*v**2 + 10*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -154 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 617, 3103, 9693, 22433, 43369, 74547?\nAnswer: 118013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05 + -11.05. Let j = 7 + y. Let r = 12 + -17. Sort -1\/8, j, r in ascending order.\nAnswer: r, j, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 11:04 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142770660*d**3*m**3*u**2 + d**3*m**3 - 124*d**2*m**3 - d**2*m**2*u + 23*d**2*m**2 - 146*m**3*u - m**3 + u**2 wrt d?\nAnswer: 856623960*m**3*u**2 + 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 63*y + 23*y + 43*y)*(0 - 2*y + 0).\nAnswer: -6*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vaavvvavvaaavaavvavv. What is prob of sequence aava?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 55, 137, 295, 553, 935?\n\"Answer: 4*o**3 + 2*o**2 - 4*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1553 + 1557. Let g be -4*1\/(4\/6). Put g, 5, r, 3 in ascending order.\nAnswer: g, 3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 12 = 9*z. Let x be 2\/(-7) + 23\/7. Differentiate -x + 2 + z + t**4 wrt t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -219, 1, -1 in descending order.\nAnswer: 1, -1, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 81, 64, 27, -36, -131, -264, -441?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5793888816 and -1.23.\nAnswer: 5793888814.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 286.363 milligrams?\nAnswer: 286363000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 11) to base 14\nAnswer: -9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132494783 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2) + 2 - 0. Let s(x) = -5*x - 3*x**2 + x + x + 4 + x**3. Calculate s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -5*r**4\/4 - 2*r**3\/3 - r**2\/2 - 2*r - 303. Calculate t(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9431265 or -9431266?\nAnswer: -9431266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -6) + (-252 - -269) - 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/30 - 13*a**4\/4 + 155*a**3\/6 + 15*a**2 + 2. Let o be r(37). Solve 0 = -5*z + o*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -61000 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57*j**3 + 624*j**3 + 429*j**3 + 5451*j**2 wrt j.\nAnswer: 5976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 25*z = -10. Sort z, 1, 3 in descending order.\nAnswer: 3, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262623*u + 262626*u - 525259*u.\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 137667 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqgbllc. What is prob of sequence cb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -164 + 212. Let m(f) = f + 1. Let b be m(5). What is the greatest common factor of b and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2504 + 3650. List the prime factors of o.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 1 - -3 - 1. Let v be m*(-2)\/(-3)*-1. Let q be (-5)\/(v + 9\/3). Let r(i) = -6*i + 5. Let d(s) = 7*s - 6. Give q*r(b) - 4*d(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*k + 6400, 4*k - 681 = -t - 2801. What is the units digit of (t\/20)\/(12\/(-80))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-12 + 2 + -51 + 68) - 8) + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39374067?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 700, -1, -4 in increasing order.\nAnswer: -21, -4, -1, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 10) to base 13\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2)*u*u)**4)**(1\/26)*(u**(-2\/3))**(-2\/3)*(u\/(u\/(u*u*u**(2\/13)*u))*u)\/u*u\/(u*(u**(-6)\/u)\/u) assuming u is positive.\nAnswer: u**(1375\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 - 1.2. What is the second smallest value in j, -4\/7, -0.4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -7 - 1941) + 8. Round k to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137 (base 9) to base 12.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17 - 17 + 6*x**2 + (x**2 - 3*x**2 + 6*x**2)*(-1 + 2 + 2).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 72904.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**4\/5 - 35380*w**3 - 530676*w**2\/5 - 530668*w\/5 - 176888\/5 = 0. Calculate w.\nAnswer: -44222, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z*z**(9\/5)*z*z)*z*z**10 assuming z is positive.\nAnswer: z**(31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/7 + 24*q**4\/7 - 95*q**3\/7.\nAnswer: -q**3*(q - 19)*(q - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4369 or 4375?\nAnswer: 4375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4*-1*3\/6. Suppose -a*d = -z - 35, -3*z + 42 = 3*d - 8*z. What is the remainder when 5022\/(-18)*10\/(-30) is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3 + 12\/3). Suppose 0*w - 2*q = x*w - 86, -4*w - q + 70 = 0. Let a = 40 - w. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aynttyataaayaanytn. Give prob of sequence ytt.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 + 2*z**2 - 8*z - 3. Give v(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*j**6 + 2*j**4 + 9*j**2 - 10.\nAnswer: 1560*j**3 + 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0 + 4 = 0. Factor 3*r**3 - 5*r**4 + r**2 - 2*r - r**5 - r**m + 5*r**4.\nAnswer: -r*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/3))**(-1))**(-5\/13)*(k\/((k**(-1\/5)\/k)\/k))**(-2\/19)\/(k\/(k\/(k\/k**(-7)))*k*k**(-2)*k*k) assuming k is positive.\nAnswer: k**(-32218\/3705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/29 in -2\/9, -5, 0.5, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904781 is divided by 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (-9 - (15 - 99))) + (-1 - -13).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = t + 5, -94*t = 138*t - 234*t - 47*x - 190 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -136, 1\/3, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1041.24 + -1024. Round v to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11303231122 (base 4) in base 10?\nAnswer: 1522522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27075, -25761, -23579, -20535, -16635, -11885?\n\"Answer: -x**3 + 440*x**2 + x - 27515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/7, 4\/7, -115?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -43*z**2 - 7. Let c(d) = -7*d**2 + 11*d**2 - 6*d**2 - 8*d**2 + 12*d**2. Calculate c(w(i)).\nAnswer: 3698*i**4 + 1204*i**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 3*k + 6, -k + 12 = -2*b. Let l = 11\/152 - -1\/19. What is the smallest value in 3, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (12\/15)\/((-4)\/(-10)). Suppose -2*t + b + 267 = -2*b, b + 277 = u*t. Let z = t + -48. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12768 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.272, 0, -91 in descending order.\nAnswer: 0, -0.272, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(-1 + sqrt(325))**2*6.\nAnswer: -29340 + 900*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 493, 0 in descending order.\nAnswer: 493, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 8*z - 1. Let h(t) = t**3 + 48*t**2 - 2126*t + 182. What is the remainder when m(-8) is divided by h(-76)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 - 368*l + 2000. Suppose -80 = 3*t - 8*t. Let h(g) = -g**2 + 74*g - 400. Let m(k) = t*h(k) + 3*y(k). Factor m(q).\nAnswer: -4*(q - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (403 - 1103 + 117 - 620 - 2108)*(-5*x + x + 3*x + (-14 + 2*x + 14)*(1 - 1 + 1)).\nAnswer: -3311*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(((w*w**(-1))\/w)\/w)\/w*w*w**(-15))\/((w*w\/(w*w\/((w\/w**(-1\/2))\/w)))\/(w\/(w\/(w*w\/(w*w\/w**(12\/7))*w)))) assuming w is positive.\nAnswer: w**(-193\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 736 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 1338*w - 687*w + 5 - 5 - 656*w. Let t(v) = -4*v. Let i(j) = -9*j. Let o(z) = -3*i(z) + 5*t(z). Calculate o(x(m)).\nAnswer: -35*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.16, -4, 50\/913?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwn when three letters picked without replacement from unuwuwwwhenwnnwwunu?\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**3\/3 + 2*k. Let h(n) = n. Let t = 7 - 2. Let p(q) = t*h(q) - j(q). Let w(b) = -2*b**2. Calculate w(p(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -18. Let g = 16 + y. Let t(k) = -6*k + g + 12*k - 2*k**2 + 3*k**2 - 14*k. Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1059.773154 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, s: 2, i: 2}. What is prob of sequence ias?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in 0.4, -0.3, 42?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10601 - 10535 + 4*z**2 + 2*z - 14*z**2 to j + m*z + k*z**2 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9733*n**5 - 11*n - 29?\nAnswer: -194660*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -55*z + 2. Let c(t) = -78*t - 11475 + 23002 - 11527. What is i(c(f))?\nAnswer: 4290*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13296 divided by 6\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 divided by -282876.\nAnswer: 145\/141438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475*c = 471*c + 19124. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:58 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 16*i**2 - 5*i - 19. Does 13 divide d(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**4 + 15*b**3 + 18*b**2 = 0. What is b?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -62*p**3 + 593*p**2 - 792*p + 120. Calculate z(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 245.0000398 + -245. Round h to six dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*26\/39?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (8 - 8)) + 1 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 73355 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9 + -0.84. Let s = 0.1 - 0.04. Let k = s - p. What is the third biggest value in 2, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8\/10*(-9855)\/(-438) and (-4)\/14 - (-288)\/28.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 + -37)\/((0 + 2)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x - 100902 + 28606. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32892, 32974, 33078, 33210, 33376?\n\"Answer: p**3 + 5*p**2 + 60*p + 32826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 3*h + 2*h + 3)*(-3 + 3 - 3*h**2).\nAnswer: 3*h**3 + 27*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 216161 and 33907115.\nAnswer: 5027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.018732 * -3\nAnswer: -0.056196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6556646, -13113310, -19669974, -26226638, -32783302, -39339966?\n\"Answer: -6556664*x + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 17 - 11. Suppose -v = v - a. Solve v = -p + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/65*(-2800)\/(-320).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10487 - -10484. Sort -5\/12, -1\/4, u, 4, -2\/13 in decreasing order.\nAnswer: 4, -2\/13, -1\/4, -5\/12, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -13*c - 6. Let i(u) = -u. Let v(d) = h(d) - 6*i(d). Is v(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141157, 564785, 1270831, 2259295?\nAnswer: 3530177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 355755949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103806699?\nAnswer: 3, 167, 207199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(77)\/sqrt(7))*5)**2 + sqrt(44)\/sqrt(4) + 2 + 2*(sqrt(44)\/sqrt(4))**2.\nAnswer: 251*sqrt(11) + 924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 o when four letters picked without replacement from {i: 1, o: 2, c: 6, t: 5, l: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 91 - 95. Let b(l) = -l**3 - 5*l**2 - 2*l - 5. Give b(v).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + (5 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101732\/221265 + -11\/16092. Calculate the common denominator of c and -75\/154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2397 + -2398.962. Let c = v - -2.46. Let s = -0.5 + c. Round s to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 364835 and -15?\nAnswer: -5472525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92, -384, -872, -1556?\n\"Answer: -98*z**2 + 2*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 37847 at most 37847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -914d3 (base 15) to base 2.\nAnswer: -1110000010101000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxtxtuiixxixxxi. What is prob of picking 2 t?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5*x + 4. Let n(a) = -30*a - 25. Let f(g) = 25*h(g) + 4*n(g). Let s(j) = 286*j**2 - 188*j**2 - 103*j**2. Give s(f(v)).\nAnswer: -125*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -529420*s**2 - 23569*s wrt s?\nAnswer: -1058840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 91065.42 centimeters?\nAnswer: 910654200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w**2 + 3*w - 2. Let d be k(-3). Suppose 48*n = 51*n - 12. Let f be -5*(n - d\/20). Solve -6*m = -5*m - f for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34059 + 34061. Let n(l) = 4*l + 1. Let r be n(1). Suppose o + r = 2*o. What is the third biggest value in m, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1100) + 3*sqrt(1100) + 1.\nAnswer: -3 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -78*v**2. Let h(c) = -355*c + 2. What is g(h(b))?\nAnswer: -9829950*b**2 + 110760*b - 312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 13*j**2 - 23*j + 9. Suppose 2*a = -5*h + 283, 4*h - 65 = 4*a + 139. Suppose h = 10*z - 5*z. Let x be p(z). Sort 0, x, 4 in descending order.\nAnswer: 4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from tttftdtfttttmwmt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.45 + -0.05. Let u = -3.44 + w. Suppose -4 = 6*p - 34. Which is the smallest value? (a) p (b) u (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 245\/9. Let d = 55 + -167\/3. Which is the closest to d? (a) 1\/2 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) - (8 - (-1 + 7)). Which is the nearest to 1? (a) t (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, -0.61, -227 in decreasing order.\nAnswer: 0, -0.61, -4, -5, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26360)\/10544 - (-8181)\/(-216)*(-4)\/57?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2127978507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 12:35 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 0 + 3 + 3)**2 + -3.\nAnswer: 84*sqrt(5) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11))**(-1\/4)\/(c**(2\/33)\/c**(-4)) assuming c is positive.\nAnswer: c**(-173\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18827, 37644, 56459, 75272, 94083, 112892, 131699?\nAnswer: 150504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -85370 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from {q: 1, i: 2, a: 3, f: 4, p: 3, j: 3}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*b*i*k**2 - 8*b*i + 12*b*k + 5*i*k**2 - 2*i - 6946*k**2 wrt i?\nAnswer: -17*b*k**2 - 8*b + 5*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 25658876 - 41491124 = 0. Round p to the nearest one hundred thousand.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 + 8*x**2 - 6*x**2 - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -2, 0, 19458, -3.\nAnswer: -17, -3, -2, 0, 19458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4114, -14075, -29906, -51619, -79226, -112739, -152170?\nAnswer: -197531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1)\/n)\/(n*n*n**(-1)))\/((n\/((n\/(n*n*n**(2\/5)))\/n))\/(n\/n**(-1\/2)))*((n**(2\/9)\/n*n)\/(n**(-3)*n))**33 assuming n is positive.\nAnswer: n**(2053\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.311 + -0.011. Let a = -1.6 - -0.6. What is the nearest to 0 in a, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*g - 53 + 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4822211, -4822213, -4822215, -4822217?\n\"Answer: -2*i - 4822209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -5*i**8\/672 - i**7\/21 - i**6\/16 - 163*i**2 - i. Factor l(w).\nAnswer: -5*w**3*(w + 1)*(w + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116260404 divided by 52.\nAnswer: -2235777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3131751, 6263524, 9395299, 12527076, 15658855, 18790636?\nAnswer: 21922419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4\/2 + 6*t**3 - 3*t**2\/2 - 9*t.\nAnswer: -3*t*(t - 3)*(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 3, 5 in increasing order.\nAnswer: 3, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 0*y + y + 7, 5*g - 5*y = 30. Put -1, 13, g in descending order.\nAnswer: 13, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 9*v**3 + v. Calculate w(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35202 - -6?\nAnswer: 35208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3821, -3826, -3835, -3848?\n\"Answer: -2*o**2 + o - 3820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 0. Let j(t) = -3*t - 26*t**2 - 18*t**2 + 89*t**2 - 21*t**2 - 2 - 21*t**2. Let i be j(v). Solve i*s - 12 = 0, n + n = 3*s - 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 495.0789 months?\nAnswer: 41.256575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1bb (base 16) to base 5.\nAnswer: -3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3142 - 0.5\nAnswer: -3142.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*t, 3*v + 18 = 5*t + 58. Let m(n) = 10*n**2 + 28*n - 59. Is m(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 6*h + 13. What is b(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*p + 2*d - 698, -29*d + 24*d = -p - 66 for p.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-14))\/(2\/7). Suppose w = i*w - 1023. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1007 less than -249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 9:05 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 + -9 + (-1 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*f**3 - 1 + 247*f**3 - 58*f**3 - 29*f**3 - 37*f**3 - 39*f**3.\nAnswer: 32*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -5\/9*t**3 + 1\/3*t - 2\/3*t**2 - 7. Let m(y) = 0. Calculate y.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 7:17 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83609 - -2?\nAnswer: -83607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a\/a**38*a*a*a*a))*a)\/((a\/a**(-5\/4))\/a)*((a\/a**(-2))\/a)\/a*a*a\/((a*a**(-10))\/a) assuming a is positive.\nAnswer: a**(-81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 9 = -22851*i + 22850*i, -5*i + m + 26 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426253 rounded to the nearest ten thousand?\nAnswer: 1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 15 - 4821*s**3 + 4823*s**3 + 18.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -36 + -64 + 46 + 0 + (-2 - -1)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2698428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7070904 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 2256, 5530, 10108, 15990, 23176?\nAnswer: 31666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from zztzzzzzztzzzt?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538482?\nAnswer: 2, 3, 7, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2 - 10*r - 1 + 4*r. Let p be y(-2). What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -73*b**2 - 38*b - 117. Give x(-3).\nAnswer: -660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 8:43 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 + 69 = -w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1262\/6)\/(2\/(-6)). Let o be (-16)\/(80\/(-15)) - -5. Is (o\/36 + 22\/(-18))*i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 13*c - 44 = 0. Which is bigger: c or 7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.7 times -0.062\nAnswer: 0.7874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -489296, -489299, -489302, -489305, -489308, -489311?\n\"Answer: -3*w - 489293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/9)*d)\/d)\/d)\/((d*d\/d**(-1\/4)*d*d*d*d)\/d*d))\/(((d*d**(-1\/6)\/d)\/d)\/d*d\/d**(1\/4)) assuming d is positive.\nAnswer: d**(-107\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f + 10. Let p(s) = s**3 - 16*s**2 + 12*s + 45. Let z be p(15). Put f, -32, -1, z in descending order.\nAnswer: f, z, -1, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -2 (b) 11\/5 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -424 + 680. Let h be (-50)\/(-3) + (-10)\/15. What is the highest common divisor of s and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2436 and 29980548?\nAnswer: 209863836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 0*w**2 + w**4 - 6*w**2)*(14*w - w - 10*w).\nAnswer: 3*w**5 - 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*w + 75*w = 0. Solve w = -6*k - k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*x = -38*x + 1992. Suppose -51*n - x = -53*n. List the prime factors of n.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.51*-0.4\nAnswer: -1.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -0.01. Let b = -0.5 + i. Let s = -0.6 - b. Sort 1\/3, 0, s in descending order.\nAnswer: 1\/3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 41, 63, 85?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -7*p + p**2 + 104 + 1\/3*p**3. Let f(j) = -j**2 - 2*j + 6. Give -7*f(c) - 6*z(c).\nAnswer: c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i. Let l = -84 + 16. Let u = l - -73. Suppose u*o = -d - 19, -4*d + 2 - 6 = -4*o. Let r(a) = -a**2 + a. What is d*r(t) + w(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -183.709 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 33*u - 163. Let j be f(6). What is the nearest to 2 in -0.07, -2, -0.2, j?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10111?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1691, 3396, 5101, 6806, 8511, 10216?\nAnswer: 11921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99789.36 millilitres in litres?\nAnswer: 99.78936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 2*w - 4*w**3 - 3*w**3 + 0*w**3.\nAnswer: -7*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, a: 1, l: 6, z: 3, e: 1, m: 6}. Give prob of picking 1 e and 1 z.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = 4*t + 6*f - f, -620 = 3*t - 4*f. Are t and -1792\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1725, 6925, 15573, 27669, 43213, 62205?\n\"Answer: 1724*b**2 + 28*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-40) - (-356)\/80*-2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28832 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/23 (b) 93 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 40 = -4*d. What is the highest common factor of d and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 5) + -6*(-5 - -2). Let j(s) = 2*s**2 - 15*s + 37. Is j(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1805\/4936 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k + 1 = 0. Let o(z) = 19*z**2 + 2*z + 1. Determine o(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6 - (-77)\/(-33). Let i be 24\/(-1 - r) + -3 - -1. Is i <= 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.11 and 0.144897965.\nAnswer: 0.034897965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i - 1. Let j be a(3). Suppose 3 = 11*z - j*z. Factor z + 5*y**2 + 2*y**3 - 2*y - 3*y**2 - 3 + 0*y**3.\nAnswer: 2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 46 = 4*s, -w + 5*s = -6*w - 50 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22304\/1007 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/(-4 - 3690\/(-945))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + 3. Let q = k - 4. Suppose g - 1 = 9. Calculate the smallest common multiple of g and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**9*n)\/(n\/(n\/((n\/n**10)\/n*n))))\/(n\/((n**12*n)\/n)*n*n\/(n**(2\/15)\/n)))**(-2\/19))**44 assuming n is positive.\nAnswer: n**(-35816\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 - 190 - 162*y**3.\nAnswer: -162*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -36460000 rounded to the nearest 1000000?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = -119988. Suppose 3 = -0*x + x, -d = -3*i + x. What is i rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10169 + -10038. What is the remainder when 940 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14892 - 14892 - 38*x**2.\nAnswer: -38*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/4831?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -30*z - 1368. Let r be f(-43). Which is the closest to -0.2? (a) 1\/2 (b) r (c) -0.2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*o - y, -11*o + 9*y - 15 + 29 = 13*y + 75 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 5*v - 4. Let g be m(4). Let l = 23 + g. What is the highest common factor of 35 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:15 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3672946742 to the nearest integer?\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21874, -21825, -21802, -21817, -21882, -22009?\nAnswer: -22210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by 152.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 26 + 2 = 0. Suppose 3*i = -6, 3*t + 24 = a*t - 4*i. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*9\/(162\/(-12))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 8*j + 19*j = -46 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/10)\/((((-12)\/10)\/(-3))\/(1176\/118188)).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5172 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -23*u - 651. What is i(-27)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/(-660)*198\/(-286).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -77, -113, -173, -257?\n\"Answer: -12*q**2 - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*v + 40, 4*k - 40 + 8 = -5*v. Suppose 1 = -3*i - 4*p - 6, 2*p + 11 = i. Solve 4*o = d - 6*d - 4, i*o = -d + k for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2775 is divided by 2768.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0235 + 0.9765. Let d be -2 - -1 - 88\/(-72). Let m(s) = s**2 + s - 5. Let f be m(-5). Which is the second smallest value? (a) d (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -4. Suppose -2*i = f - 9. Sort -4, 2, i.\nAnswer: -4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*g - 12981 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-30)\/(-35)) + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 9 - 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17455 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1758*w - 104378 = -94*w + 1077*w + 109420 for w.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o + 3*n, -5*o - 4*n - 5 = 7. Sort o, -5, 4 in descending order.\nAnswer: 4, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*j = 195*j - 42. Let s(b) = -b + 1. Let w(g) = 2*g**2 - g + 2. Let t(a) = -9*a**2 + 3*a - 8. Let i(c) = -6*t(c) - 26*w(c). Calculate j*s(p) + i(p).\nAnswer: 2*p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -432*m - 254*m + 3081*m**2 + 686*m to k*m + v + q*m**2 and give q.\nAnswer: 3081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 3*n**4 - 10*n**4 + (-3*n**4 + 5*n**4 - n**4)*(-2 + 4 - 1) in the form q + r*n**4 + f*n + p*n**3 + u*n**2 and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -81, -85, -89, -93, -97?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tii when three letters picked without replacement from {i: 4, t: 2, w: 7}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -12*x**3 + 6*x**2 + 2*x - 805. Let p(w) = 65*w**3 - 33*w**2 - 11*w + 4024. Determine -2*p(s) - 11*y(s).\nAnswer: 2*s**3 + 807","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + -610111?\nAnswer: -610022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2169 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005189 rounded to 6 dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*4 - (-8)\/((-40)\/(-2325)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12839*y**3 + 2 + 12881*y**3 - 25490*y**3 + 8*y in the form u*y**2 + q*y + b*y**3 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20143 a multiple of 342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 4*y + 3*y + 5*y + 3*y - 10*y + (4*y - 3*y + y)*(-1 + 0 + 0).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**4\/7 + 76*v**3 - 980*v**2 + 3332*v.\nAnswer: -4*v*(v - 119)*(v - 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -3 (c) 269.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 6:59 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 39489642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -18. Solve 0*g - 4*g + 4 = z, -3*d + 3*g + 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 2 r when four letters picked without replacement from tqqqqtqrrrrrrqrrqqr?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 1*(1 + 2 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/55 and -67\/7735.\nAnswer: 85085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 8. Let a be (27\/15)\/(v\/20). Solve a*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -393*x + 134*x + 131*x - 3*x**3 + 126*x - 57*x**2 in the form g*x**3 + u + o*x + t*x**2 and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -5*a. Suppose 0 = -3*w + 3*n + 87, -n + 35 = 2*w - 26. Suppose w = 3*t + 2*t. What is the lowest common multiple of t and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 1)\/(6\/3). Let y(n) = -n**2 + 10*n - 12. Let j be y(8). Suppose -m + f*m = -4*c + j, 2*c = m. Solve m*p - 3*x - 19 = 0, -2*x = 5*p + 11 - 29 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z**3 + z**3 + 2*z**3 - 6 + 3*z**3 + 6 + (-2*z - z + z)*(0 + 2*z**2 + 0) - 3*z**3 + 140 - 140 - 2*z**2.\nAnswer: -6*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1278, -6385, -17554, -37011, -66982?\nAnswer: -109693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000182830735 rounded to 5 decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**3 + 7*u - 7. Suppose -3*a + 1 + 38 = 0. Let s(h) = 3 + a*h**3 - 2*h - 10*h**3 - 1. What is -2*l(k) - 7*s(k)?\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j - 1897 = 362*j - 3514 - 1518 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 1293.\nAnswer: 129.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3091 - 3088. Put 0.5, -3\/32, j in decreasing order.\nAnswer: j, 0.5, -3\/32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 + 0*a**3 + a**3 + 5*a**2 - 5*a**2 + a**3 + (2*a + 0 + 0)*(-2*a**2 - a**2 + a**2) + (0*a**2 + 4*a**2 - 2*a**2)*(4 - 2 - 3)*(2 - 2 - 2*a).\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 + 3*318\/9. Suppose m = v + 11*j - 7*j, v + 5*j - 102 = 0. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 5*y**2 - 6*y + 2. Let x be j(6). Suppose -x*i = -5*i - 1554. Let z = i + 849. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30207466 greater than or equal to -30207466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 274690072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-16))\/(4*35\/(-56))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4721620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 11:28 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 689003.\nAnswer: -2\/689003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*y - 92 = 0, -104*y = -4*v - 99*y + 58. Solve -v*f = 24 - 178 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12577474963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*p + 130*p - 53*p - 46*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*z**2 + 69*z**2 + 369*z**2 - 126*z**2.\nAnswer: 446*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 30) + 109 - 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0*n**5 - 2\/15*n**3 + 0 + 0*n**2 - 1\/75*n**6 + 42*n + 1\/10*n**4. Let r(o) = 0. What is o?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6732.708ms?\nAnswer: 6732708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6162535 is divided by 6735?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1. Let j(l) = -2*l - 14. Let i(f) = -2*j(f) - 28*u(f). Let a(g) be the second derivative of -g - 1\/6*g**3 + 0 + 0*g**2. Give a(i(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -10*m**2 - 8*m + 1. Let c(y) = 3*y**2 + 3*y. What is -8*c(j) - 3*v(j)?\nAnswer: 6*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7*h - 6135994 = -4*q, 4602002 = 3*q - h. Round q to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 4*y - 23568, -11*o - 23583 = -15*o + y. List the prime factors of o.\nAnswer: 5897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*y - 4 = 2*x - 50*y + 2, 0 = -4*x - 13*y + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 - -3. Let h = -54 - k. Let q = -109 + 107. Which is the nearest to h? (a) -4 (b) 2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3*w**2 + 23*g**3 + 16*g**2*w**4 + 2*g - 8*w with respect to w.\nAnswer: -2*g**3*w + 64*g**2*w**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3 - 1)\/28)\/((-5)\/15)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2 + 6*(5 + 4 + (-5*sqrt(847)*2 - -1*2*sqrt(847))))*-5)**2.\nAnswer: -1452000*sqrt(7) + 48862825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**3*i - f**3*s + 22*f**2*i**3 - 8*f**2 + 60058*f*i**3*s + 31*i**3 wrt s.\nAnswer: -f**3 + 60058*f*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and -1?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i - 1. Let x(u) = 2*u - 1. Let r(w) = -3*o(w) + 5*x(w). Let s = 9 + -11. Determine r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 134, -3\/8, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/6)\/(9\/(-81)). Suppose -j + k*j = 2*i + 6, 3*i = -j + 11. Suppose l = i*b + 15, 2*l - 4*b - 13 = l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/56353 and 9\/397370618?\nAnswer: 4371076798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/75 or -1?\nAnswer: 11\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 106780397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 143*w**3 - 14*w**2 + 10*w + 4. Let b(j) = 46*j**3 - 4*j**2 + 3*j + 2. Give 7*b(v) - 2*s(v).\nAnswer: 36*v**3 + v + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 341\/5. Let a be (18\/273)\/(262\/917). What is the fourth biggest value in a, 6\/7, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-3) - 28\/(-6). Let u(a) = a + 8. Let x be u(-3). Suppose 5*v = -x*w - 3595, -2885 = 4*w - 9*v + s*v. Round w to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*j = -5*m + 44, 3*j = m - 4. What is the greatest common factor of 68 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + u)*(-3 + 5 + 0 + (5 - 3 - 1)*(-6 + 3 + 2) - 5 + 3 - 3).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*p - 2383 = 0, 56*v - 57*v - 481 = 5*p. Let t = v + 427. Suppose l + 144 = -3*z, 0*l - 9 = 3*l. Is z <= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-48)\/(-12) - 17).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 - -33510636?\nAnswer: 33510635.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -36*-156.9\nAnswer: 5648.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19581 + 19576. Let o = -2 - -5. Sort r, 0, o, 6 in descending order.\nAnswer: 6, o, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000054649 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -30?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t + 26. What are the prime factors of h(-22)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a6572 (base 11) in base 2?\nAnswer: -100101110111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3534377998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 bigger than 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 297629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-390*u - 620*u + 633*u).\nAnswer: 377*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1127098 is divided by 605.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 82*v**2 + 6 + 4.\nAnswer: -82*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 405955.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267522 (base 8) in base 13?\nAnswer: 24a9b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001 + 102021220101?\nAnswer: 102021111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 864744467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**2 + 600*j + 22197 = 0.\nAnswer: -151, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28414 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28808570 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3, -5, -0.5, -1\/4, 1.2 in decreasing order.\nAnswer: 1.2, -0.2, -1\/4, -0.5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-17 - -23) + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 15, k - 5*g + 31 = -k. Let w be ((-6)\/(-9))\/((4\/(-30))\/(963\/535)). Sort k, 0, 3, w in decreasing order.\nAnswer: 3, 0, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 18726183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*a**4 + a - 66*a**4 - a**2 + 3*a**5 + (4*a**4 - 5*a**4 + 2*a**4)*(-4*a - a + 4*a) + a**5 - 2*a**5 + 3*a**5 + 5*a**5 - 2*a**5 - 4*a**5.\nAnswer: 3*a**5 - a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**5\/20 - 7*n**3 + 81*n**2\/2 + 403*n. What is the derivative of y(r) wrt r?\nAnswer: -3*r**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2834*j**2 - 5687*j**2 + 2925*j**3 + 2856*j**2.\nAnswer: 2925*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2 - 3 - 376\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 7*m**2 - 6*m + 4. Let a be b(-6). Suppose -a*u + 0*u + 20 = 0. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 5*o + 12*n - 94 + 50, 0 = -4*o - 5*n + 44 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 11*p**2 + 10*p - 4. Is i(-9) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*r - 26. Let x = 148 - r. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2016 - 506103?\nAnswer: -504065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 3*r**2 + 3*r**2)*(-2*r - r + r) + r**3 + 4*r**2 - 4*r**2 - 105*r**3 - 444*r + 444*r.\nAnswer: -106*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4\/3 + -2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 12*y - 12. Let k be p(8). Let f be k*((-21)\/(-6) + -2). Solve 2*i + f = -5*u, -4*u = -0*u - 2*i + 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/((-5862)\/5880 + (0 - -1)). Round y to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8733717?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**2 - 12050*m + 7260125.\nAnswer: 5*(m - 1205)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 495*l**5 - 102*l**5 + 466*l**5 - 5*l - 151*l - 1 + 2 wrt l.\nAnswer: 17180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -276 - -117. Let j be 0 - (3 + f) - 2. What is the highest common divisor of j and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 25*d - d)*(0*d + 1 - d + 2) to the form j + v*d + w*d**2 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 93518 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 812*q**3 + 8*q**2 - 16*q + 7. Is v(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5215.981 rounded to the nearest ten?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11046 and -0.4.\nAnswer: 4418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from kkkkkkkkhssh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 2*i**2 - 8*i + 4. Let u be t(4). Suppose 0*s = u*p - 3*s + 22, 0 = -5*p + 2*s - 24. Let c(y) = -y. Calculate c(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**8\/28 - 11*a**6\/30 + 16*a**4\/3 + a**3\/2 + 67*a. Find the third derivative of z(o) wrt o.\nAnswer: 240*o**3 - 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002043 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3*k - 17 = 0, -30*k = -2*a - 34*k + 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4259 - 3?\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1048976633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*b**2 - 29*b**2 - 1 - b**2 to the form f*b**2 + d*b + h and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3534 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*d**3 + 5*d + 8*d**3 + d to the form a*d**3 + f + z*d**2 + t*d and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 - 17*m - 5. Let l be b(-8). Suppose -8 = -5*t - g, -t - 5*g = -l*t - 13. What is the highest common factor of 9 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -135400*m**2. Let a(g) = -4*g. Give f(a(o)).\nAnswer: -2166400*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, l: 5, f: 3, g: 4}. What is prob of picking 4 l?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 455316306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o + 7. Let m be t(4). Let a(p) = -3*p - 3. What is a(m)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 466*o - 2 - 260*o - 298*o + (-o + 0*o + 2*o)*(-4 - 1 + 6) to the form t*o + v and give t.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6.504431 decades?\nAnswer: 780.53172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/306 and -79\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326 + 321. Which is the nearest to -1? (a) 1 (b) -2 (c) -79\/2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 3*r**2 - 6*r + 5. Calculate v(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5059605, 5059604, 5059603?\n\"Answer: -m + 5059606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 57*g**2 + 126*g + 10285. What is n(-58)?\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 2*x + 60 = -4*q, -5*x - 60 = -4*q. Let v = 14 - q. Let h = v + 150. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 33. Let r be t(-15). Find the second derivative of r*z**3 + 4*z - 3*z - 4*z**3 + 8*z**3 wrt z.\nAnswer: 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194883 or 1596?\nAnswer: 1596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4358476 divided by -83.\nAnswer: 4358476\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*k**2 + 9*k**2 - 47*k**2 + k**2.\nAnswer: -55*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -24. Sort t, 3, -5 in descending order.\nAnswer: 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Let b(r) = r**2 - 10*r + 16. Let x(l) = l**3 - 3*l**2 - 10*l + 5. Let c be x(5). Let s be b(c). Which is bigger: s or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -6931*a**5\/20 - 163*a**4\/12 - a**3\/6 + 5*a**2 - 848*a. Find the third derivative of w(n) wrt n.\nAnswer: -41586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (43 - (7 + -2)) + -22\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-32)*40\/(-96))\/(4\/16)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3956 and -125\/276.\nAnswer: 11868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (4\/14 - 176\/77)*-127?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d + 4 - 4 + (-1 + 4 + 9)*(-2*d - 7*d + d) + (-1 + 2*d + 1)*(2 - 2 + 1) to u*d + v and give u.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j - 4. Let a be b(-8). Suppose 5*x + 3*v = 1, -v - a = x + v. Let c be 3\/(x - -1) - 0. Solve -5*m + c + 1 = -d, -m = 3*d - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*v - 8 = 0, -2*g + v - 2*v + 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/49*20\/(-80)*182?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -282559, -282560, -282561?\nAnswer: -282562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -11. Let d be (-5)\/(5 + -8 - -2). Suppose -f*k = -d*k - 1500. Round k to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4518?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 5030412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5 + 61*d**4\/5 - 122*d**3\/5 - 398*d**2\/5 - 161*d\/5 + 49\/5 = 0.\nAnswer: -1, 1\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/13, 12, 0.5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42323b - -c?\nAnswer: -42322d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (9810\/1199 + -8)*(-22)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37393266 is divided by 328011?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6788, -6689, -6592, -6497, -6404, -6313, -6224?\nAnswer: -6137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0 (c) -62 (d) 4 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-12)*(-17 - -15)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + g + 19 = 0, -5*x + 10 = -2*x - 2*g. Suppose -x*w - 12 = 5*c - 2*c, 0 = -4*w + c - 28. Are w and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1062 and 1992548.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 greater than or equal to 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 21712 + 12394?\nAnswer: 33aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2010002 (base 3) to base 16.\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a gram in milligrams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.186? (a) -2 (b) 0.4 (c) -3\/5 (d) 59 (e) 4 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 525 + -525.171. What is k rounded to two dps?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3085 + 5362 + 3488)*(4*t + 5 - 5) to the form g*t + a and give g.\nAnswer: 23060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12\/31, -4, 5 in descending order.\nAnswer: 5, 12\/31, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -667*q**2 - 615*q**2 + 293*q**2 + 13*q**3 + 8*q**3 - 410*q**2.\nAnswer: 21*q**3 - 1399*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of k**3\/3 + k**2 + 3*k. Let t be y(2). Suppose 0 = m - t - 0. Solve -a - 9 = m*i - 2*i, -a = -2*i + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a**3 - 720362*a**2 + 19*a + 1440756*a**2 - 19*a - 720394*a**2.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 555*j**2 - 1117*j + 6039. What is x(553)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(1008) + (sqrt(1008)*-2 + sqrt(1008) - sqrt(1008)))*5)**2.\nAnswer: -600*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876 + 937 = 123*d + 706 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -355.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 - 617802 + 9*o**3 + 23*o**3 - 36*o**3 + 308902 + 308900.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50896\/13699 - -2\/1957. Put 7, 4, b, 3 in descending order.\nAnswer: 7, 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 89298421208 and -1.\nAnswer: 89298421207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384843358?\nAnswer: 2, 677, 284227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -4*i - 17880 + 17854, -6*i - x + 12 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16824*11.578\nAnswer: 194788.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + c**3 + 3*c**3 - c**3 - 1 + 1 + (-5*c**2 + 3*c**2 + 4*c**2)*(-c + 0*c + 2*c) - 3*c**3 + 2*c**3 - 3 + 3*c**2 + 18*c**2.\nAnswer: 2*c**3 + 21*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/15*-3)\/(8208\/760)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18949 by -3.\nAnswer: 18949\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1196804606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 140 = -77 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (-39 + 87 + 14).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b + 14. Let y be 6\/(-2) + 10\/1. Let s be a(y). Factor 0 - 1\/3*u**4 - 1\/3*u**3 + 0*u + s*u**2.\nAnswer: -u**3*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + 0.6. Let k = 0 + t. Let l = k + 2. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence krkk when four letters picked without replacement from {r: 2, k: 6, u: 10}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**6\/360 + 7*h**5\/120 + h**4\/24 - h**3\/3 + h. Let g(j) be the second derivative of c(j). What is the units digit of g(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -26*u**2 + 0*u + 1\/8*u**4 - 1\/120*u**6 - 1\/15*u**5 - 2\/3*u**3 + 0. Calculate j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34531108.\nAnswer: 2, 8632777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2296, 0.2, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -158 or -156?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 0.2, 0.5, -0.389 in decreasing order.\nAnswer: 4, 0.5, 0.2, -0.389, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3 + 12 = 5*u, -4*u = -l - 2. Let g = -4 + 3.9. Put l, g, 3 in descending order.\nAnswer: 3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 80*z**2 + 155*z + 194. What is x(78)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.067, 5, -0.2, 0.08 in decreasing order.\nAnswer: 5, 0.08, -0.067, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17952 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 6*v + 3. Let k be z(6). Let c(x) = x + 3. Let y(d) = -22. Let r(o) = 102. Let l(a) = -6*r(a) - 28*y(a). Calculate k*c(m) - 2*l(m).\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 - 2*v + 323 - 651 + 47*v.\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -34*l - 1\/2*l**4 + 0*l**3 + 9\/2*l**2 + 77. Differentiate q(k) wrt k.\nAnswer: -6*k**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 1, t: 12, b: 2, p: 3}. Give prob of picking 1 p, 1 r, and 1 b.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6694771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090 less than or equal to 197723\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(4\/40*2). Suppose 8 = -4*d + b*j - 8, -d - 11 = -3*j. Solve i - d = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-1) - (33129*-2 - 3 - -8). Round r to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/3 - 226*d + 679\/3 = 0. What is d?\nAnswer: -679, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 52, 203, 454, 805?\n\"Answer: 50*k**2 + k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -14\/13, 276, 3\/5.\nAnswer: -3, -14\/13, 3\/5, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 324987 or 14?\nAnswer: 324987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 103*w + 134*w + 146*w + 55*w + 274*w**2 + 52*w wrt w?\nAnswer: 548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + 35 + 2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -65\/2 = -19.84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160032 and 1408?\nAnswer: 7041408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efeeeefdedeefege. What is prob of sequence fgfd?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -156\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1274.3 + 1271.3. Suppose -h - 7*m + 3*m + 4 = 0, -4*m = -5*h + 44. Let s = 17\/2 - h. Which is the second biggest value? (a) 1 (b) z (c) s (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -28*v + 450512. What are the prime factors of v?\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126157757.0000028 - 126157734. Let d = -33 + 10. Let z = n + d. Round z to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*q + 9 - 309, 0 = -z + 4*q - 75. Let p = z - -56. Let r(h) = -h**3 - 7*h**2 - 10. What is r(p)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 - 2*b**2 - b. Let h be q(-1). Suppose -h*z + 5 = -15. Solve 7*g - z = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p - 5*m - 116, 2*m = -3*p + 174. Calculate the greatest common factor of p and 406.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -5*l**5\/6 - 215*l**4\/24 - 55*l**3\/2 + l**2 - l - 87. Factor v(h).\nAnswer: -5*(h + 1)*(10*h + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -7 + -1 - (-900)\/120. Let u = 1.5 - -9.5. Sort m, 0, u, -0.3 in decreasing order.\nAnswer: u, 0, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38984259.\nAnswer: 3, 2311, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220 + -132. Does 23 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 290, 714, 1414, 2390, 3642, 5170?\n\"Answer: 138*a**2 + 10*a + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1151*u**2. Let m(a) = 6815*a**2. Calculate m(j(f)).\nAnswer: 9028518815*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 686050, -5.\nAnswer: -5, 0, 686050","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 6:28 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51)\/(-136)*(-4)\/(-3)*(-432)\/(-120)*-30.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244639, 978600, 2201881, 3914482?\nAnswer: 6116403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 8 = -4*x - 20, 14 = -4*x + 3*k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 39296*o**3 + 235632*o**2.\nAnswer: 4*o**2*(o - 9818)*(o - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -92.201 to 0 dps.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2832 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/7 + 2*o + 16\/7*o**2 + 6\/7*o**3 = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**3\/2 + 22*v. Let m(a) = -20*a**2. Calculate c(m(p)).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/4 - 10812*j**4 - 21621*j**3\/2 + 10812*j**2 + 43245*j\/4 = 0 for j.\nAnswer: -14415, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d - 323. Let k be z(21). Let h(g) = 2*g**3 + 15*g**2 - 6*g + 20. Let x be h(k). Solve -5*o = 4*i, x*i = 2*o - 0*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 0, 2*w - 2*b = 30 - 0. Suppose -w*c = -573 - 387. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.26, 2\/3, 1\/10.\nAnswer: 1\/10, 0.26, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 365 and 435.\nAnswer: 31755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 92624689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4903*x**3 - 16*x**2 + 931*x**3 - 52*x**2 - 5932*x**3.\nAnswer: -9904*x**3 - 68*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8612377?\nAnswer: 19, 23857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 93, 114, 143, 180, 225, 278?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g**2 - 2*g + 141. Let x(l) = -l**2 + l. What is -c(h) - 2*x(h)?\nAnswer: -h**2 - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19050896 to the power of 1\/2, to the nearest integer?\nAnswer: 4365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 - 274*l**2 + 416*l**3 + 1176*l - 539*l**2 - 32*l**4 - 895*l**2.\nAnswer: -4*l*(l - 7)**2*(7*l - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -305. Let f be (-2)\/(-10) + t\/15. Which is smaller: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597871.\nAnswer: 11, 29, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -17*h + 14*h. Suppose h*j = -4*t + 5*j + 418, -4*j = 4*t - 424. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -31117227, -31117208, -31117171, -31117110, -31117019, -31116892?\n\"Answer: x**3 + 3*x**2 + 3*x - 31117234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -321 times 0.341?\nAnswer: -109.461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/747 + 105997\/8217. Suppose -3*c = 4*p - 55, -c - 2 = -3. Which is bigger: p or q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6310 divided by 2?\nAnswer: -3155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -116*k + 471. Calculate b(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0958 times 0.3?\nAnswer: -0.02874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-18)\/8)\/(9\/24). Let c(t) = 4 + t**2 + 0*t**2 - 2*t**2 - 6*t. Calculate the least common multiple of c(f) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*b = -10, 5*j + 21*b - 16*b = 10. Is j <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1143 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(1\/4)\/n))**(-9)\/(n\/(n**(-2\/5)*n)*n\/(n*n*n**(-5\/4)*n)) assuming n is positive.\nAnswer: n**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*4*(1*(sqrt(152) + 1*sqrt(152)))\/sqrt(8).\nAnswer: -192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -23*g**2 + 2*g + 2. Let o be y(4). Let r = 443 + o. What is the lowest common multiple of r and 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6748 + -9088. Which is smaller: s or -2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + 0*u**2 + 0*u**2)*(-25 + 25 - 8*u) + (u**4 + 6*u**4 - 2*u**4)*(2 - 2 + u) - 3*u**5 - u**5 + 2*u**5.\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgsvjppggpfp. Give prob of picking 1 s and 1 v.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 533 a factor of 484497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 5. Let q(n) = 2*n + 2. Let y be q(x). What is the highest common factor of y and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32555191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 7 - 1 = 0. Let l = k + 13. Suppose 5*b - 31 = 2*o, -l*b + 2 = 5*o - 8. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r - 18. Let b be n(-8). Let d be ((-2)\/4)\/(2\/(-4)). Let x be b\/d - (-8 + 7). Calculate the greatest common factor of x and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 221649*x**2 + 221721*x - 1. Determine w(-1).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1703*k = -1702*k + 5, k - 96 = -4*j - 3*k for j.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48622, -49095, -49570, -50047?\nAnswer: -50526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -3. Let s = -210 + 210.4. Which is the biggest value? (a) o (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**3\/3 - 2*b**2 + b - 12. Suppose -5 - 7 = -3*s. Suppose -12 = 5*q - s*y, -y = 2*q + 3 + 7. What is x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -413 = 8*k - 621. Suppose -q + 27 = -4*c, -4*q - 5*c + 184 = 13. What is the highest common divisor of k and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -22036?\nAnswer: 22030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**3 + 3*j**2 - 22*j - 141. List the prime factors of k(-13).\nAnswer: 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -37. Let j be ((-2)\/5)\/(3\/(-15)). Suppose -j*p = -4*x + k, 4*x - p - 18 = -0*x. Solve 2*s = -2*s + 20, -2*s = -x*l - 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 509904557 to the nearest integer?\nAnswer: 22581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/55)\/(((-4)\/10)\/1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9830754161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -8)*3\/(-6) + (-25 - -26)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/24 and -109\/105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 4389631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {k: 4, j: 4, f: 5, q: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -32\/5, 484, -1\/8, 5.5, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1286447*c - 1286447*c - 30*c**2.\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 793892325 to the nearest integer?\nAnswer: 926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + (-3 - (5 + -5)). Let p(y) = y**2 - 1. Let k(a) = -4*a**2 + 32*a - 28. Let n(z) = c*p(z) + k(z). What is x in n(x) = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 67025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, 171, 1252 in decreasing order.\nAnswer: 1252, 171, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 698, 1396, 2094, 2792, 3490, 4188?\n\"Answer: 698*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28 - 31. Is -8*g\/(-18)*-24 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2 - 109675*w + 24727500 = 0.\nAnswer: -109900, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i = 14*i + 2*d + 46, 4*d - 64 = -4*i. Suppose 3*s - i = -7. Factor 1\/4*c**s + 0 - 1\/2*c.\nAnswer: c*(c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 225522, 451028, 676534, 902040, 1127546, 1353052?\n\"Answer: 225506*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**2 + 1152*r - 540. Let f(j) = 2*j**2. What is a(f(s))?\nAnswer: 4*s**2 + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**3\/11 - 75968*q**2\/11 - 480890*q\/11.\nAnswer: -2*q*(q + 12655)*(3*q + 19)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*q = 2608412, 3*w - 6*w + q - 7825203 = 0. Round w to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.1 (b) -7 (c) 1\/4 (d) -0.05 (e) 63\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*n + 231, 2*n - 17*r = -20*r + 184. What is the remainder when 1825 is divided by n?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 11*j - 2*j**2 + 3*j**2 + 5*j**2 - 5*j**2.\nAnswer: j**2 - 11*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -16*z**3 + 2*z**2 + 3*z + 2. Let f be o(3). Let l = 404 + f. Let x = 15 - 4. What is the smallest common multiple of l and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91485\/3852*(-16)\/(-6)*((-18)\/15)\/(-2)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -r - 1, 16 = -h - 2*h - 5*r + r + 8 - 74 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 = -39*q + 457 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5607.781ml in litres?\nAnswer: 5.607781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**4\/24 + i**3\/6 - 17*i**2. Suppose -2*b = -4*b. Give d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 divided by 1.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19918050*p + 6726249.\nAnswer: -19918050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 292 + 853. Let x = y - 185. Let j(c) = 17*c - 3. Determine j(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/324 - (-517799)\/(-6). What is u rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1508*f - 1522*f + 3009*f + 441 = 0 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.536 - 20.5363925. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 474982 by 2.\nAnswer: 237491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 551625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.65028, -1\/169, -0.5.\nAnswer: -0.5, -1\/169, 0.65028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u. Let f(y) be the first derivative of -3*y**2\/2 - y + 6. Calculate f(q) + 4*o(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/3 + 7*s. Let m(w) = -2*w + 1. Give f(b) + 2*m(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15558.\nAnswer: 2, 3, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(2 - 0). Let o be (-12)\/(-21)*(-14)\/(-4). Suppose -7*s + o*s - 25 = 0. Put 3\/8, f, s in increasing order.\nAnswer: s, f, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -988 + 2428. What is the lowest common multiple of 8 and c\/65 + (-2)\/13?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249.2 + -249. Sort u, 2\/5, 0.5, -1\/4.\nAnswer: -1\/4, u, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 651 + 43 = 0. What is the greatest common divisor of 19 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5676 + 11850 = -762*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1001 - 505 - 14398*h - 496.\nAnswer: -14398*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1277?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 s when three letters picked without replacement from {f: 3, n: 2, u: 2, s: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18975 + -18975. Solve g = 1080*p - 1061*p + 95 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 13 + 5 = 0. What is the highest common factor of 36 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 29*h**2 - h. Let c(q) = 6*q - q - 3*q - 3*q. Calculate m(c(w)).\nAnswer: 29*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6626.6 - 6627. Which is the smallest value? (a) q (b) 27 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 1:02 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/598 and -56\/437.\nAnswer: 11362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 145 + -82. What is the remainder when k is divided by (-20)\/12*3 + 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 8\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 + 1)*(u + 3*u - 2*u).\nAnswer: -20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 10:47 AM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmwcncaucnc. What is prob of picking 1 a and 1 w?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:28 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 2*l = 21*c, 5*l = c + 17. Let f(b) be the second derivative of 5*b**4\/12 - b**3\/6 + b**2 - b. Calculate f(c).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 31, 85, 165, 271?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*n + 566*n - 124*n - 146*n - 148*n + 922*n**2.\nAnswer: 922*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -58746526850196 minus 0.3?\nAnswer: -58746526850196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n. Suppose 5*b + 5*j - 55 = 0, -5*j + 40 + 7 = 4*b. Let o be b\/(-32) - 2\/(-8). Let h be (15 + 0)\/5 + o. Calculate v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -7*k**4\/3 - 15*k**2\/2 + 18*k - 21. Let u(l) be the first derivative of h(l). What is the derivative of u(p) wrt p?\nAnswer: -56*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8 = -0*h. Suppose -4*g - 3*u = -11, -7 = 2*g + 5*u - h. Suppose 1085 = 1011*w - 4697 + 727. Calculate the remainder when w is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1333.\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 divided by 77?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 73987 - 2\nAnswer: 73985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4032 - -3981 - (-6 + -1).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66584647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:41 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 66*x + 2643. Let l be a(-40). Solve -l*b + 6 = -2*h, 0*b = -5*b + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-49065358)\/(-8) + (-5)\/(-20) + -1. Suppose -3*f = 2*q + 16933175 - v, -3600003 = f + q. Round f to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 5:13 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**21\/u**(1\/3))\/(u**(-12\/7))**(-37))**(1\/7) assuming u is positive.\nAnswer: u**(-898\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 81 = 127. What is the tens digit of 12\/r + 1428\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 80 (b) -8 (c) 2\/3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(18\/30*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10011010 (base 2) to base 9\nAnswer: -181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1.9, -5, 2?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2331711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15980 divided by 940.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 43 + -2 + -3*4\/(-6). Let g(a) = -v*a + 14 + 79*a - 35*a. Let l be g(-11). Solve 4*u - l*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13156 divided by 44\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18180 plus 7.4?\nAnswer: 18187.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1626162 to the power of 1\/2, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 184440 and 491840.\nAnswer: 1475520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*v + 370*v + 10*t = -56, 0 = -3*v - 2*t + 16 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1973 is divided by (-2)\/(-16) - (-16)\/(-512)*-604.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 66. Let m = 3284 + -3263. Suppose 3*y - j = -2*r, 4*y = -4*r - m + 57. Solve -r*n + 7 - 22 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/(f**9*f))\/f**(-1\/17)*(f\/(f\/(f\/(f**(1\/4)*f))))\/f**(-7\/5))**50 assuming f is positive.\nAnswer: f**(-9845\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 >= -941\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/8 + 63*y**4\/2 - 37599*y**3\/8 + 35811*y**2 - 48018*y - 88560 = 0. What is y?\nAnswer: -164, -1, 4, 5, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 26. Let x(n) = -3*n**2 - 9*n - 9. Let a be x(-6). Let c = a + 98. Calculate the remainder when c is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let h(r) = -4*r + 12. Determine -h(g) + 12*v(g).\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -17*j**2 - 3*j + 5. Let x(v) = 26*v**2 + 5*v - 8. What is 8*h(p) + 5*x(p)?\nAnswer: -6*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 24*j - 62*j + 23. Which is the nearest to 134? (a) 3 (b) -0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aod when three letters picked without replacement from oododdzozodzao.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t + 18*t + 14 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 + 383686*a + 36803736649 = 0. What is a?\nAnswer: -191843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 - 2012426?\nAnswer: -2012443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10008 divided by 1668\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**4 - 2*g**3 - g**2 + 2. Let h(y) = 20*y**4 + 100*y**3 - 230*y**2 + 170*y - 30. Let f(r) = 15*a(r) + h(r). Solve f(j) = 0 for j.\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 11. Let r be l\/55 + 2\/(-11). Which is the nearest to r? (a) -3 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/38)\/s)**(32\/7))**(-3\/2) assuming s is positive.\nAnswer: s**(888\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(2\/8))\/((-60)\/(-18)*-9)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-18695297.\nAnswer: -3739059.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 12. Let w = 11 + -20. Find the common denominator of v and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (28\/8 + -3))*-6. Suppose -2*i = -s + 13, -o*s + 0*i = i - 39. Suppose -3*q + 12 = -9. What is the remainder when s is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/270 and -62\/165?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14324, 28646, 42968, 57290?\nAnswer: 71612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 79, 307, 693, 1243, 1963, 2859?\n\"Answer: u**3 + 73*u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12856 - 12856. Let c = -1133\/23478 - -10\/273. Which is greater: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 + -24)*((-81)\/6)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.19, -119\/48 in descending order.\nAnswer: 0.19, -119\/48, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 16 = 5*h, -2*y - 4 = 2*h - 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 41718.77 years?\nAnswer: 41.71877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g. Let o(i) be the third derivative of -i**5\/15 - 12*i**2. Calculate o(t(r)).\nAnswer: -100*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 304*k + 493 = 275*k for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 8.7*-3\nAnswer: -26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -2413?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -4, 15\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 4 - 5)\/1. Let m be (-10*1)\/(w\/(-1)). Is (-1)\/(-5) - 468\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 16 = 4*m, -3*d - 2*m - 2*m = 6. Suppose -15*g - 34 = -124. Suppose 0 = d*n - g*n + 8. Solve 1 = -3*a + n*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 64 + 36. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) + 0) + sqrt(144)\/sqrt(8) + (sqrt(64) + (sqrt(64) - sqrt(64)*-1))\/(sqrt(54)\/sqrt(3)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p**3 + 10 - 12 - 3*p**2 - 5*p**3 + 104*p**3 + 16*p**3.\nAnswer: 138*p**3 - 3*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7800 = h - 11*h. Let k = h - 278. List the prime factors of k.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**7\/840 - 11*v**4\/24 + v**3\/2 - 9*v**2. Let n(h) be the first derivative of g(h). Differentiate n(w) with respect to w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5177385*m - 108171506.\nAnswer: 5177385","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 660 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2. Let x(b) = -3 - 6 - b - 6 - 3. What is o(x(w))?\nAnswer: 2*w**2 + 72*w + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 50, 70, 98, 134?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 264.13421.\nAnswer: 263.73421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 10:18 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**13*w)\/w**(-1\/4))**(-37) assuming w is positive.\nAnswer: w**(-2257\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from addduduaduaudd. What is prob of sequence ddad?\nAnswer: 15\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -6 + (-25 - -5) + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -11*h + 2. Let z(i) = 5*i - 1. Let q be 4*(34\/(-8) - -2). Let w = q + 22. What is w*z(k) + 6*c(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 + -1ea7?\nAnswer: -1f07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5607, 22330, 50191, 89196, 139351?\n\"Answer: k**3 + 5563*k**2 + 27*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 19144 = 7*y - 3*y, -5*s - 4*y = -23885. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 68897804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4326.92896 + 4327. Round v to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -453866?\nAnswer: 453861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 2*m - 28, -3*m - 997 = -4*g - 1022 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 73863986?\nAnswer: 221591958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**2\/4 - 43341*k\/4 - 2167 = 0. What is k?\nAnswer: -8668, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, x: 2, m: 1, k: 1, a: 1, g: 2}. What is prob of sequence pk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10144882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59116 - 0.07.\nAnswer: -59116.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -25 + (-8 - -5) + 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 558*p - 553*p - 35. Solve -2*d = -6, p*d - 12 = 3*y + 3*d for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 3*r**3 - 5*r**3 - 4*r**3 + 3*r**3 - r**3 + (-4 + 4 + 4)*(r**3 - 5*r**3 + 5*r**3).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 5*a - 8*a)*((-4 + 1 + 2)*(-4 + 3 + 0) - 3 + 2 - 5).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -55\/16, 0.3, -0.3?\nAnswer: -55\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - t + 1. Let n = -1 + 2. Let w(m) = 5*m**2 + 7*m - 7. Give n*w(r) + 6*l(r).\nAnswer: -r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -13*z + 26. Let i be m(2). Suppose 4*y + 4*w = -i*w + 36, 4*y - 11 = w. Solve s + y = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14605*o**5*q**2 + 98*o**3*q**2 - 6336577*o*q**2 wrt o.\nAnswer: -292100*o**3*q**2 + 588*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13 - 4 - (-13 - -18). Sort -11, 2, 0, d in descending order.\nAnswer: d, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000540948 rounded to 7 dps?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -362 - -338. Which is the smallest value? (a) -3 (b) -0.5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3117.\nAnswer: 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 287211610 divided by 311\nAnswer: 923510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-131)\/(-5502)*246?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 19\/4*n**4 - 11*n - n**3 - 3*n**2 - 22. What is the second derivative of l(r) wrt r?\nAnswer: 114*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -5\/9*m**4 + 1\/21*m**7 + 1\/3*m**3 - 1\/9*m**2 + 18*m - 11\/45*m**6 + 23\/45*m**5 + 0. Solve o(c) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 7*b**2 + 7*b - 8. Let z be 4\/6 - (-78)\/(-9). Let q be w(z). Suppose -5*x = 5*d - 20, -5*x - 20 + q = -5*d. Solve x = r - 4*r + 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from ekgqzre?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5574?\nAnswer: 2, 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39724054 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.051 * -913.8\nAnswer: 46.6038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -33500039?\nAnswer: -7\/33500039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 47*j**2 - 53*j + 40. Calculate the remainder when z(-14) is divided by 238.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 208 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 + -88. Solve 7*z - 3*z = 12, 5*y + 9 = p*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120268685681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2064473 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 2, p: 3, c: 1, b: 3, n: 1}. Give prob of picking 1 n, 1 p, and 1 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4073 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 + 2*g - 5. Let b be ((-12)\/4)\/12*0\/6. What is z(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (24 - 13) - 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5305 + -5310. Put d, 7\/3, 3, 2\/19, -1\/4 in descending order.\nAnswer: 3, 7\/3, 2\/19, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28*(-10)\/280*5\/9*1\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 45794?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121 - -102?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 42. Let x = 1.2 + -0.2. Let h = -0.19 + 0.09. What is the closest to x in h, n, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 3*y**3 + 2*y**3 + (2*y + y**2 - 2*y)*(y + y + 0*y + (3 - 4 + 3)*(2*y - 8*y - 2*y)).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:26 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 35 times 3123\nAnswer: 109305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovddoooooodvgdod. What is prob of picking 1 d and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**5\/7 + 3063*f**4\/7 - 10260*f**3 + 30900*f**2\/7 + 4967808*f\/7 + 9188352\/7 = 0.\nAnswer: -6, -2, 16, 997","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*i**4 - 810 + 424 + 381 - 3*i**2 + 3*i**3 in the form n*i**2 + k + c*i**3 + f*i**4 + o*i and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from npnpnmdzn.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59225 = 2514*b + 61*b for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3979, 7915, 11847, 15775?\nAnswer: 19699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -44104 divided by 11026\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 2*r + 26, 27*f = 13*f + 5*r + 94 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39 - 0.38. Which is the smallest value? (a) 2 (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/2 (c) 13456 (d) 5\/4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-186)\/(-434))\/((-26)\/14 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43\/2*(-17 + 19). Round o to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1144, -1478, -214, 3446, 10300?\nAnswer: 21146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59240 and 56026230.\nAnswer: 224104920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -13\/47 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461 = -36*j + 1447. Calculate the greatest common factor of j and 4717.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3812227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*l - 1359775, -4*h - 370416 = -2*l + 173530. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcz when three letters picked without replacement from {c: 2, z: 8}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.87 - -1.9. Round r to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -50. Let k = -26\/3 + c. What is the third biggest value in -1, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -14\/13151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22.3 - 14.2. Let g = q + -8. Round g to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((50\/(-75))\/(6\/(-9)))\/(-7).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*5637.\nAnswer: 11274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -11833976?\nAnswer: 1\/11833976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, y: 3, z: 10}. Give prob of sequence rzyr.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 8. Differentiate -2*s**z - 1 + s**2 - 1 with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i - 4. Suppose 3 = -2*m - i. Let w = m - -3. Solve -2*c = w + 7, -2*u + 14 = -5*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 38 = 12*v. Solve -4*j = -j + v*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/120 + (-4)\/(-30). Suppose 0 = -0*s - s + 122. Suppose s = g + f, -122 = -g - h*f - 3*f. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + -32)*21\/(-6). Suppose 0*c - 5*c + b = 0. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**2 - 162*o - 68. Give m(-28).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (46 - (-14384)\/(-310))*290\/(-4)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 3:21 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 43\/36836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -67*c**2 - 63*c**2 - 71*c**2 + 205*c**2. Suppose 0 = z - 3*h + 2, 0*h - 3*h = -4*z + 10. Let o(s) = -4*s - 3*s + z*s + 6*s. Give o(q(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**2)\/((c**17\/c*c)\/c))\/(c**6)**(-2) assuming c is positive.\nAnswer: c**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 - 2*t + 2. Let u = 9 + -11. Let o be y(u). Which is greater: 4 or o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2851.3 + 2851.2. What is the nearest to f in -1, -3, -59\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*i + 33. Solve -k - r = 0, -2*k - 4*r = k - i for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 277106 and 15880.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*c + 24. Let t = c + -9. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.04 - -0.16. Let o = 1.2 + t. Let b = -3 + o. What is b rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788457303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-22)\/(-77)*(-35)\/(-6)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*(10\/(-75))\/(-1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/83, 2\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-3))\/(1\/(-6)). Let t = 5 - f. List the prime factors of 2 + -2 + 12 - t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 5 - 5*b**2 - 5 to the form p + j*b + f*b**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4136895 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1, -4, -0.08, 17, -104?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 q when three letters picked without replacement from qzpzqppqzzzpcppwcz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28750 + -1034903\/36. Find the common denominator of ((-282)\/(-8))\/((-1980)\/(-440)) and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-69)\/(-230)*(-5)\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 905, 2087, 3793, 6053, 8897, 12355, 16457?\nAnswer: 21233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 13) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(5 + (sqrt(2160) + (sqrt(2160) - (sqrt(2160)*1 + sqrt(2160) - sqrt(2160)) - sqrt(2160)))\/sqrt(3)*-3))**2.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -831141816 by -207785454.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57887 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10578946 and 19646614?\nAnswer: 137526298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -33223 in descending order.\nAnswer: 4, 2, -33223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -2453*f**6\/6 - f**3\/3 - 1596*f**2 - 10286. Find the second derivative of o(h) wrt h.\nAnswer: -49060*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 361.6319 microseconds to seconds.\nAnswer: 0.0003616319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -2*f + 5*p, -5*f - 2*p + 908 = -0*f. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {w: 3, e: 4, k: 2, t: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.01 (b) -2.5777 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2 (c) -416 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88356 - 10.7?\nAnswer: -88366.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 0*m**2 + 0*m + 1\/3*m**3 - 2. Let z(a) = a**2. Give z(v(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1476150 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-553)\/9 - (23 + (-13)\/(5850\/10550))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 329796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 9*q**2 + 8*q - 4. What is c(-10)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*t - 2*t + 9 = 0, 0 = -m + 3*t + 17. Solve -m*a - 18 = 5*h, 2 = 2*a - 7*h + 2*h for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - u = -0*m - 114, 0 = m + 5*u - 42. Suppose b = 2 + 2. What is the remainder when 21 is divided by (0 - m)*(-2)\/b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1802\/97308)\/((-2)\/(-3)*-5*(-2)\/20).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(36\/10))\/(35\/(-28)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/5)\/((-20)\/50). Let v(l) = -7*l**3 - 2*l**2 + 8*l - 5. Is v(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 6*j**2 - 4*j + 13. Determine k(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wor when three letters picked without replacement from wogoononroonn?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 426 + -425.5. Let y = 1.5 + -1.52. Which is the third biggest value? (a) y (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + 2827 - 2827.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 4) + (-2)\/2. Suppose b = l - 1. Suppose 2*t - 46 = -l. 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: Suppose -2*s + 2 = 16. What is the common denominator of -83\/80 and 2 + 0 - (357\/33)\/s?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-310)\/(-8) + (-1)\/(-4). Suppose -22*s + 2198 + 992 = 0. Let g = l + s. Is 46 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 46, 61, 76, 91, 106?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 267115 = 267115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -15, -0.5, 0 in descending order.\nAnswer: 1, 0, -0.5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3264) + sqrt(3264)*-1)*5 - sqrt(3264))\/(-2*-1*sqrt(147)).\nAnswer: -4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1530\/222 - (-22 + 31). Which is smaller: w or -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0, 1\/141, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 116 = 3*f - 16, 20 = -4*f. Calculate the greatest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 388, 1, -2 in decreasing order.\nAnswer: 388, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 139973 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15058 - -0.24942. Which is the closest to 8? (a) 10 (b) z (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32135867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ufuppffhfhffuhh. Give prob of picking 1 h, 1 p, and 1 u.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -673*k**7\/210 + 191*k**4\/24 + k**3\/6 - 392*k**2. Find the second derivative of t(x) wrt x.\nAnswer: -8076*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 15) in base 9?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-279)\/12)\/((-10)\/(80\/1)). Solve -84 = -j*q + 200*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132828?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 - -381. Suppose -d*c = -179*c - 36. Solve 2*u - 7*u - c*l = -8, 5*l = 2*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4993 and 11224623?\nAnswer: 11229616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 2 + 10)*(-10 + 10 - 2*a).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -773 = -126*c + 189 + 424 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 837096347 to the nearest one hundred thousand.\nAnswer: 837100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwgagwwaiwwg. What is prob of picking 2 g?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 12*b**3 - 2*b**2 + 2*b. Let t(h) = 13*h**3 - 3*h**2 + 3*h + 1. Give -3*k(l) + 2*t(l).\nAnswer: -10*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 5. Let t(p) = p + 15. What is t(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 42*p**2 + 2*p - 3. Let m(d) = -42*d**2 - 2*d + 4. Calculate -3*m(j) - 4*o(j).\nAnswer: -42*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**2 + 8*s**2 - 3*s - 4*s**2 - 4. Let n(v) = v**3 + 4*v**2 + 4*v + 2. Let a be n(-3). Let q be d(a). Solve y = -4 + q for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9.6, -3\/14, 18, 0.2, 3\/7?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddbollak. Give prob of sequence bk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257, -257, -249, -227, -185?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262307?\nAnswer: 47, 5581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100100011101111110?\nAnswer: -100100011101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 224*-54560\nAnswer: -12221440","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v**3 + 7*v**2. Let i(u) be the first derivative of -2*u**4 + u**3 - 5. Let s(l) = -13*i(l) + 6*o(l). What is the third derivative of s(b) wrt b?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a9b8 (base 14) to base 16.\nAnswer: 1460d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4*1791\nAnswer: 7164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24406 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3391 is divided by 842?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1109 - 1108 - j + 5*j)*(0 + 0 + 2)*(0 + 2 - 3)*(-4 + 1 + 1).\nAnswer: 16*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/(-16))\/(1 + 2460\/(-2416)). Let h = w + -179\/2. What is the common denominator of -77\/8 and h?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 6, c: 2, j: 4}. Give prob of sequence jgg.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58086 + 58085.9999933598. Round g to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 121 + -28 + 2 + -4 + 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {c: 6, x: 1, f: 2, r: 2, k: 7, g: 1}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 8. Let x(j) = 5*j + 16. Let y(g) = 5*q(g) - 3*x(g). Let c(k) = -k**2 + 4*k - 1. Let d be c(5). Does 11 divide y(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -27537, -25328, -23119, -20910, -18701?\n\"Answer: 2209*w - 29746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12011 + -11?\nAnswer: 12000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**5\/20 - l**4\/2 - l**3 - 7*l**2\/2 + 2*l. Determine f(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -24*c + 324. Let p be (-1 - -8) + (-6 - -7). Calculate the greatest common factor of c and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -31, -60, -111, -190, -303, -456, -655?\n\"Answer: -y**3 - 2*y**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62\/7 + 517\/56. Suppose 15 = -3*v + 42. Let r be (v\/4)\/(6\/4). What is the second biggest value in r, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -9*d**3 - 82*d**2 - 49*d - 301. What is l(-11)?\nAnswer: 2295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5*k - 30 = 0. Let z(i) = -2*i**2 + 47*i + 18. Let s be z(24). Let v = s - k. Solve v = 2*w + 2 + 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*i**6*o**3 - 2*i**5*o**2 - 2*i**2*o**2 + 7*i*o**3 - i*o wrt i?\nAnswer: 9600*i**3*o**3 - 120*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 29 = 4*k. Suppose 69 - k = 5*p. Solve 3*a = p + 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1130213 + 2044?\nAnswer: -1124125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(75) - (0 + sqrt(75)) - sqrt(75)) + sqrt(75) + -5)**2 + ((sqrt(75) + 1)**2*1 - sqrt(75)) - (sqrt(75)*1*3 + sqrt(75) + (sqrt(75) + 2)*1)**2).\nAnswer: -5334 - 285*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3412987017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -15*d**2 - 5*d + 1. Let y be j(2). Let h = -69 - y. Which is the closest to -0.3? (a) h (b) -4\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 12) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + 9 + -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 11:38 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36073399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12813 - 12813 - 39*q - 3558*q**3 + 39*q + (-3*q**3 - 3*q**3 + 2*q**3)*(-4 + 2 - 1) to v + t*q + z*q**2 + i*q**3 and give i.\nAnswer: -3546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206561728 to the nearest integer?\nAnswer: 14372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 63\/6 - (-3)\/2. Find the third derivative of -9*i - 3*i**4 + 3*i**6 + 282*i**3 + n*i**2 - 282*i**3 wrt i.\nAnswer: 360*i**3 - 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3324366 is divided by 1219?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**7\/42 - 101*w**6\/15 - 401*w**5\/20 - 50*w**4\/3 + 3816*w. Factor n(k).\nAnswer: -k**2*(k + 1)**2*(k + 200)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11924 and 15447?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 24*(1 - (120\/(-32))\/(-3))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113055797 to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*u - 10*u - 40 = 8*u - 16*u, -140 = 5*f - 40*u for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 36 + 6. Let m = -6 - -8. What is the second derivative of -g*k + k**m + k + 9*k wrt k?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 + 0.05. Let m = 6 + -6. Suppose 2*g = 6*g + 2*x + 6, g - x = m. Which is the closest to -0.2? (a) v (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - sqrt(468)*1) + 5 + sqrt(39)\/sqrt(243) + 5.\nAnswer: sqrt(13)\/9 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -76, -106, -156, -226, -316, -426?\n\"Answer: -10*p**2 - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = 2*n - 2, -4*m - 2*n = -26. Suppose 4*w + 28 = -3*p, w - m*w = p + 11. Let v = 10 + p. Solve -2*c + 2*g = -8, 0*c + 2*c + v*g = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254502 (base 6) to base 8\nAnswer: 55046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 8*t - 134. Calculate the remainder when 65 is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -1.06.\nAnswer: -4.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-64)\/18)\/(4\/6). Which is smaller: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101000000 (base 2) to base 5.\nAnswer: -20334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(3*g - 3*g + 2*g)*(-26 + 21 + 16).\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -61*h**3 + 6. Let z(m) = 60*m**3 - 5. Calculate 3*u(k) + 4*z(k).\nAnswer: 57*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 < -23902302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x - 3. Let q be p(-8). Let b = -317 + 317. Sort -3, 2, b, q.\nAnswer: -3, b, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 13. Let c be (-62)\/n + 20\/110. Is ((-2)\/6)\/((-2)\/c)*88 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5122158 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4*z + 2*z)*(4*z**4 + 3*z**4 + 4*z**4 + (0*z**3 - z**3 + 0*z**3)*(2*z - 2*z + 2*z)).\nAnswer: 18*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*138\/(-207))\/((-4)\/(-186))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 562102 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 7*g**2 - 8*g - 10. Let z be x(8). Let a be z\/(-4)*(-5)\/(-100). Let u = 0.255 + -3.255. What is the third smallest value in 0, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1384 and 13288303?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 4 (c) -59764\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -13*z**5\/60 + 19*z**4\/24 - 10*z**2. What is the second derivative of b(f) wrt f?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - ((-20)\/16 - 0). Sort -0.4, h, -6.\nAnswer: -6, -0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -q + 29, -m - 8 = -5*q + q. Solve m = 3*n - 0*y - 3*y, -2*y = -5*n + 8 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 + -0.16. Sort 1\/6, o, -2\/5.\nAnswer: -2\/5, o, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 305544?\nAnswer: 305541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 104.7997 + 411.685713?\nAnswer: 516.485413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.23*2759612.\nAnswer: -634710.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 439629135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 4. Let g = 58 - i. Let f be 19\/(-57) + g\/6. Is 6 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13604060 and 740?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 31363?\nAnswer: 156815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16554 + -3?\nAnswer: 16551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (56\/21)\/(-4) + (-1582)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13735 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 - -167. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -84 (b) -5.4 (c) 2\/15 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26309338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1300\/208)\/((-15)\/(-12))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10851 - 10795.21. What is d rounded to 0 decimal places?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21101102020 (base 3) to base 7.\nAnswer: -1143555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -87 + 89. Suppose 4*m + 7*v - 3*v = 140, i*v = m - 38. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 14*u**2 - 28*u + 148. Calculate the remainder when h(-16) is divided by 55.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14 - -31.04. Let h = -30.892 + k. What is h rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -219400.4666 to the nearest one thousand.\nAnswer: -219000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-4\/7)*m))\/m)\/m**(-6)*m**(-5)*(m\/m**(1\/7))\/m)\/(m**(-1\/8)\/(m**(-8)*m))**(1\/38) assuming m is positive.\nAnswer: m**(527\/2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times 492945?\nAnswer: 690123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (4 - -5) + (-3 - -10) + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830400 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h + 12. Let w be c(7). Suppose 0 = -3*m + w*m + 4. What is the smallest common multiple of 20 and 0*3\/9 - m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7102*g - 468677. Determine k(-66).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 24 + 48. Let y = -4 + 9. Solve -f - 1 = -y*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5959 - 4549. Does 17 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*u - 12*u - 20*u + 2 = 0. Is 10\/1353 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-137)\/(-21920)*-620*(7*-1 + -1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d = 140557 - 627 + 181814. List the prime factors of d.\nAnswer: 2, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 404657 + -265950. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*g + 4, 8*g - 4*g - 8 = 3*z. What is the tens digit of 4 + z + 83 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 165*s**2 - 18*s - 424. Is p(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1797809927?\nAnswer: 23, 78165649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -341*v**3 + 77*v**2 + 77*v + 77. Let b(d) = -18*d**3 + 4*d**2 + 4*d + 4. Let y be 5 - (709 - -11)\/(-10). What is y*b(n) - 4*o(n)?\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htoo when four letters picked without replacement from {t: 1, o: 2, a: 1, h: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6019109 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.03 + -8.03. Which is the closest to -2? (a) -2 (b) 0.4 (c) y (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -45023, -44580, -44137?\n\"Answer: 443*p - 45466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**2 - 202*l + 128. Let v be w(-41). Solve 0*o - o + v*a + 15 = 0, -o = 4*a + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 2*g - 4 = 0, 5*k - 2*g + 239 = 240 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 2:25 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2347\/22 - -213\/2. Which is the third biggest value? (a) v (b) 5 (c) -2\/123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/72 and -21\/256?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3454, 6942, 10432, 13924, 17418, 20914?\n\"Answer: m**2 + 3485*m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.30339214 rounded to four dps?\nAnswer: 1.3034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2*1\/(-6)). Let j = 5 + 1. Suppose -i*m - j = -5*m. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1611.\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -1, 4 in ascending order.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 5*l**2 + 3*l + 8. Determine u(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -u - 639, -2*f + 4*u - 253 = 7*u. Let a = f + 60. Let h be 14\/12 - (a\/24 + 3). Sort -3, h, 11.\nAnswer: -3, h, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -148, -303, -482, -691, -936, -1223?\n\"Answer: -c**3 - 6*c**2 - 130*c - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 8. Let j be (a\/6)\/((-1)\/10). Let b(p) = -5*p**2. Let m(v) = 4*v**2 - v. Let d(r) = 3*b(r) + 4*m(r). Calculate d(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0022329 rounded to four decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**1*k*k**(-1\/6))\/((k\/(k*k**(-2)*k))\/k**(-2\/21)))**(-5))**(-3\/2) assuming k is positive.\nAnswer: k**(365\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 6. Let j be i(13). Calculate the highest common factor of j and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 678*o**2 - 34*o + 14. Let t be r(-1). Calculate the highest common divisor of 7018 and t.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7 = -5*p, -3*o + 321 - 313 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97081527 is divided by 251?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2519 is divided by ((-3456)\/(-1344))\/(-2 - 45\/(-21)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifteen quarters of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -11*j**5\/60 + 10*j**2. Let a(f) = -2*f. Calculate a(i(z)).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7606348 is divided by 1256?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 24*n + 2. Let i(x) = 23*x + 3. Let w(c) = 3*h(c) - 2*i(c). Let y(z) = 3*z. Determine w(y(g)).\nAnswer: 78*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12601 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -15*q + 472. Let t = -74 + q. Let u = 3 + t. Calculate the remainder when 93 is divided by u.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2397 and 60.\nAnswer: 47940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 158.839 smaller than 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(12\/(-3)) + 27\/9. Solve -3*k = -s, -k = 2*k + f*s + 15 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0, -4, 13 in descending order.\nAnswer: 13, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4449*r + 16389*r + 714 - 1416 + 702 to the form y + p*r and give p.\nAnswer: 11940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13942, 13913, 13866, 13789, 13670?\nAnswer: 13497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 157 - 118. What is the remainder when n is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*x - 1614 + 8238. Let j be (5\/(-6))\/(180\/x). What is the nearest to 0.1 in -1\/3, j, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 715 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: dc (base 15) to base 14\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 50 = -z, 2*l + 3*z - 8 = z. Let t be (l\/(-2))\/(2\/(-40)*-2). Let h = 73 + t. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 2*h. Sort 2, -5, h in descending order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -8 - (-16 + 48 + -11)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -9b3?\nAnswer: 9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*r - 6 = 10, -18*r + 71 = -v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + 15\/6. Let c(a) = 9*a**2 - 4*a + 2. Let z be c(y). Suppose x + 3*w = 32, z - 16 = 2*x + 3*w. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*d**5 - 1474*d**4 - 6*d**2 - 313*d - 223 wrt d?\nAnswer: -80*d**3 - 17688*d**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - 7. Let u = 20 - t. Let g(m) = -3*m - 1. Let c be g(u). Solve 0 = 3*f - c*f + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 258.59 and -0.74.\nAnswer: -191.3566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*x + 90 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9 - (-10571 - (12 + (-19)\/(152\/48))). Is 10570 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvaggvvaegaee. What is prob of sequence egv?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137065*q**2 - 3*q - 137066*q**2 + 3*q + 274139*q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -310, 79, 724, 1619, 2758, 4135, 5744, 7579?\nAnswer: 9634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 101939, 203529, 305121, 406715, 508311?\n\"Answer: a**2 + 101587*a + 351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0\/1)\/(4\/2). Suppose j*l - 192 = -4*l. Let u = l - 32. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (2 - (-4 - -3)))\/(-3). Solve m*a = 5*a - 6, 0 = 2*u + a - 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -3, 4, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*7*6\/196)\/(-1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.1, 3, 11, 10544, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**2\/5 - 136*u\/5 + 56 = 0.\nAnswer: -70, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4 - (-3341)\/514\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -436*f**2 + 24*f - 9.\nAnswer: -872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:01 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1629186 by 13.\nAnswer: 125322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -68557*-0.2\nAnswer: 13711.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -216 - -218. Let i(q) = 0 + 2*q - 10 + 2 + t + 2. Determine i(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/4)\/((-207)\/(-24)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 82 - 80. Let w be ((-66)\/5)\/((-6)\/40). Suppose -8 = d*x - w. What is the remainder when x is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i + 2*i - 4*i + (4 - 6 + 0)*(-2 + 2 - i) + (1058 - 1058 - 255*i)*(0 - 1 - 1).\nAnswer: 514*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 7.7 (b) 1\/5 (c) 0.3 (d) -1\/4 (e) 226 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200212010 (base 3) to base 8.\nAnswer: 32662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 + 5*y + 3. Let r be f(5). Let b = -20 - r. List the prime factors of ((-19)\/(-2))\/(1\/b).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103 = -8*b + 7, 2*k + 3*b - 7*b - 48 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*4\/(-240)*10\/6. Sort 1, h, -3\/4 in descending order.\nAnswer: 1, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2157429269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 3*m - 11 - 6, 4*m - 6 = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*l**3 + 688*l - 688*l.\nAnswer: -541*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2118786 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 5*sqrt(117)*-2)\/(sqrt(9) - (sqrt(9) + sqrt(1089)*3)).\nAnswer: 3*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5273)\/(-5) + -1 - (-48)\/(-24). Let c = -1028 + r. Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64361 * -1.71\nAnswer: 110057.31","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1042)\/(-2) - (21 + -22 + -8). Which is bigger: f or 533?\nAnswer: 533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 5*h + 1. Let b be r(3). Suppose b*i = 4*i + 18. What is the highest common factor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, e: 2}. Give prob of picking 1 e and 3 d.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99656898*f**5 - 17*f**2 + 55434*f - 12 wrt f.\nAnswer: -5979413880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 12*x**2 - 12*x**2 + 2*x - 4 + 296*x**3 - 7*x**4 - 296*x**3 in the form h*x**4 + q*x + y*x**3 + b + d*x**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/2)\/((-136697)\/(-2924))*527?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 740*g**2 + 13*g + 95. Let x(u) = 277*u**2 + 5*u + 32. Let v(h) = -3*w(h) + 8*x(h). Let c(k) = 2*k**2 + 15. Give -5*c(z) - 3*v(z).\nAnswer: 2*z**2 - 3*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddttdddtdddddddtt. What is prob of sequence ddt?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14647251 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a + -262a?\nAnswer: -2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 + 5*k**2 + 3*k + 4. Let n be m(-4). Let w be 1\/(-2) + n\/16. Let f be 220*1 - 0\/2. What is the greatest common divisor of f and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.023, 192, -4\/3, 2, 3, -4.4, -4?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -13, -3, -12626 in increasing order.\nAnswer: -12626, -13, -5, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95493.\nAnswer: 3, 139, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, -104, -1828.\nAnswer: -1828, -104, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 424*f**2 - f + 2. List the prime factors of n(-1).\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387809993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121200201212 (base 3) to base 4.\nAnswer: 3101331323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -0.22, 2\/13, -2\/177, 5, 5\/21, 1\/3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-3) - (-4)\/(-6). Let i = p + 1. Suppose i*c - 2 = 2*c. Solve -10 = -0*u - c*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176ed (base 15) in base 7?\nAnswer: 434026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55 - 97 - 10400576*t + 10400571*t.\nAnswer: -5*t - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.327 + -0.673. Which is the closest to 11? (a) q (b) 2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:09 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*f**4 - 14 - 3*f + 13 - 12*f**4 + f**2 + f + f**3 as l*f**2 + s*f + h*f**3 + n*f**4 + y and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35818418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4 (b) -1 (c) 1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 419319 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19.56 + 19.66. Is 15 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 718403357 to the nearest integer?\nAnswer: 26803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1903 and -7914.\nAnswer: -7913.8097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 341 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 c, and 1 f when four letters picked without replacement from vcafcyrrfycffvv?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/18*936\/3780.\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from {c: 1, a: 3, i: 6, d: 7}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 18*f - 19. What is l(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/96 and -25\/34171628?\nAnswer: 820119072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1005694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-250)\/((-198)\/(-231) + 40718\/(-47488)). What is n rounded to the nearest 10000?\nAnswer: 850000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1961 and 18463?\nAnswer: 978539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in months?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*z - 0*z + 65250, 0 = s + 2*z - 13044. Let q(h) = -s*h + 6*h**2 + h**2 - h**2 + 13053*h. Give q(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734 is divided by 690.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 0.2, -1.6, -26, 2 in decreasing order.\nAnswer: 2, 0.2, -1.6, -18, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*20\/40?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43578?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 23 = -m, -44*h = -2*m - 233 + 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 39*w + 43. Give d(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*r - 28*r - 8. Calculate the common denominator of -65\/6 and (585\/350)\/((96\/(-28))\/r).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(72)*3 - (sqrt(18)\/(sqrt(45)\/sqrt(5)) + -3))*3.\nAnswer: -1314*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*r**2 - 12*r**3 + 4*r**2 - 4*r**3 - 3 + 17*r**3 + r in the form q*r + y*r**3 + i*r**2 + t and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**3\/6 - 155*j**2\/2 - 733*j. Let u(f) = -f**2. Determine q(u(s)).\nAnswer: s**2 - 155","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/3396 and 64\/9.\nAnswer: 10188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 94.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - k**2 - 2*k + 2. Let g(s) = 2*s**3 + 3*s**2 + 4*s - 4. Let d(q) = -3*g(q) - 5*z(q). What is the smallest common multiple of 3 and d(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q**2 - 3*q - 2. Let n be i(-3). Suppose 2*u + u - n = -5*v, 4*u = -5*v + 54. Let r = u + 1. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 117*h*l**5 - 22*h*l**2 + 2823*l**5*p**2 + 748*l**2*p**2 + l**2*p - 6*l wrt l?\nAnswer: 7020*h*l**2 + 169380*l**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02385 - 4.97615. Which is the second smallest value? (a) -2.5 (b) 1\/16 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10612 and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 500656753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/(-2))\/(7 + (-492)\/72). Let g be (16\/24)\/((-1)\/(-3)). Suppose 2 = -g*j - 4. Sort -5, u, j.\nAnswer: -5, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(36\/(-8))\/1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 44\/198 + (-10732)\/18. Let g = 1517 + c. Is g 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 vvbbhhesvhrv. What is prob of sequence sbh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**3 + 13*g**2 - 7*g. Determine z(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yn when two letters picked without replacement from cnnjcynscycccc.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f - 3 + 0*f + f**2 - 4*f**2. Suppose 0 = -h - 3*x + 6, 0*x = h - 5*x + 18. Let b(o) = -2*o**2 - o - 2. Give h*r(m) + 5*b(m).\nAnswer: -m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 16\/3, -1, -1.1, 3\/7, -285 in ascending order.\nAnswer: -285, -1.1, -1, 3\/7, 1, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1081 + 1763 = -6*r. Let n = -330 - r. Suppose 0 = 4*z - z - 54. What is the highest common factor of z and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 + 376*u.\nAnswer: 4*u*(u + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, j: 1, w: 2, g: 2}. Give prob of picking 2 w and 2 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 1 = 5*t - 0*t, -3*t - 2*k - 1 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6887*c**3*s**2 + 27*c**3 + 764*c**2*s - 4000*c*s**2 wrt c.\nAnswer: 41322*s**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13801 - 0.7725.\nAnswer: 13800.2275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -914 = -5*c - 2*i, -2*i - 178 = -0*c - c. Is c a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 207*p**2 + 410*p + 8. Let u(g) = -138*g**2 - 273*g - 5. Let d = 292 - 300. Let n(m) = d*u(m) - 5*l(m). Find the second derivative of n(y) wrt y.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 + 0)*(-7*i**3 + 103*i - 100*i + 3 - 4*i**3) to k*i**2 + q + w*i + l*i**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -46, -68?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/624 and 145\/5694?\nAnswer: 45552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24140 and -12435.\nAnswer: 300180900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-4 - -9 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let a = -208169\/7 + 29650. Let m = a - -89. Is m >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -148 + 147.976. Let h = z - 0.666. Round h to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/30 - 86\/10. Let a be (5\/((-30)\/y))\/(-6). Is 1 less than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1) - 77*-1. Suppose -w - 47 = -3*r. What is the tens digit of (8\/(-3) + 3)*r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 13*t - 19976. Suppose 8 = 4*k, 2*k - 7301 + t = -4*p. What is p rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64 + -60. Suppose 2*x - x = q*u + 108, 3*x - 3*u - 333 = 0. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 6) to base 11.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*q**2 - 3 - 10*q + 2*q**2 - 9*q**2)*(0*q + 3*q + 3*q) as x*q**2 + b*q**3 + s*q + r and give s.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 12:30 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 45*o - 43. What is u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 27 = -62 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/2 + -2 + 7. Let z(c) = 57*c + 118. Let g be z(-2). Suppose 5*b - h - g = 0. Solve -2*l - b*n = 2*l + 20, 5*l - 4*n = 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*r - 3*r - 12*r - 54 + 11*r wrt r?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -18*m**2 + 3096*m + 8. Determine r(172).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 14*s - 176. Let c be -1 + 2*-4*(-6)\/s. Solve 3*v = 4*f + 8, -f - 15 = c*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*x = 123*x - 676. Solve t + 5*s = -10, 4*t - 13*s + 11*s = x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1524)\/254*3\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/28 - (-30)\/24) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 19*y + 14. What is the remainder when w(18) is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 689146.4l to millilitres.\nAnswer: 689146400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10242472 is divided by 602487?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*a + 1702 = 0, 0 = -5*b + 7*b - 3*a + 1695. Let x = -606 - b. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 8*h + 15. Determine p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/2898 and 97\/12558?\nAnswer: 37674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13553115 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -26.08. Let n = j - -0.08. Let d = 114 - 116. Which is the third smallest value? (a) d (b) n (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-33)*c*c\/(c**(-25)*c)*c**(-3\/7)\/(c*c*c**(-27)) assuming c is positive.\nAnswer: c**(123\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 1135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4654 + -2505. What are the prime factors of y?\nAnswer: 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 3*u - 228, -11806*u + 11811*u - 2*o = 356 for u.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30124*x + 18977?\nAnswer: -30124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 8*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*q**2 - 64*q**2 + 35*q**2 - 2*q - 40.\nAnswer: 2*(q - 5)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -43\/222?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 399 and 525749?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b. Does 5 divide 7 + -1 + b + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1959 + 0*u**2 + 2*u**2 + 1958.\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169*n + 59*n + 758*n = 104516 for n.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47797379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001375926 rounded to 5 decimal places?\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194453 is divided by 64803.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20*i**4*z - i**2*z - 11*z + 18 wrt i.\nAnswer: -80*i**3*z - 2*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*5\/20*-4. Let g(c) = -c**2 - 7*c + 3. Let h be g(v). Solve -o = p - h, 5*p = -4*o - 0*o + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 13) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 12*q**2 - q - 1. Calculate b(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(33))\/sqrt(3)*-1.\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47452 = -4026*z - 20990 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20) - -26*(-1)\/(-10). Determine g, given that 0 + 0*g + 1\/2*g**2 + 1\/4*g**h = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -579 <= -178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96996?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 6. Let o be h(0). Suppose -3*s = 2*m + 33, -o*s - 3 = -4*s - 5*m. Sort s, 1, -1 in increasing order.\nAnswer: s, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 2*w**2 + 9*w + 26. Let j be d(0). Put -5, 3, j in descending order.\nAnswer: j, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28352 and 268000.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 970473701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i**2 - 3*i + i + 120*i**2 + 115*i**2.\nAnswer: 246*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -285319 take away -0.3?\nAnswer: -285318.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -40*k**3 + 2*k**2 - 2*k + 1. Let z(u) = -u**3 + u. Calculate w(n) + 2*z(n).\nAnswer: -42*n**3 + 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 936577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*q - 105 = 99 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 55. Let k = g - 67. Let m = -34 - k. What is the smallest value in m, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/(k\/k**(1\/10)))*k\/((k\/k**(2\/15))\/k) assuming k is positive.\nAnswer: k**(91\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z**2 + 145*z - 4. Let d be h(6). Let b(v) = -2*v**2 - 20*v - 3. Let l(f) = 2*f**2 + 20*f + 2. What is d*b(c) + 3*l(c)?\nAnswer: 2*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 25 + 14)*(-4*j**2 + j**2 + 2*j**2)*((0 + 3 - 2)*(6 - 4 + 0) - 3 + 0 + 0)*(-9 - 8 - 2).\nAnswer: -798*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 10) to base 11\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 91 = -6*t. Let b(u) = -u**2 + 12*u + 4. Let m be b(t). Let a = 4 + 1. Solve 0*f - m = a*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 215 = 61. Suppose 0 = a - 4*a + b. What is the remainder when a is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 49191123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00075541 rounded to 6 dps?\nAnswer: -0.000755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30191, 60533, 91023, 121661, 152447, 183381, 214463?\nAnswer: 245693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21632.16 rounded to the nearest 100?\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2846 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15071 = -27*d + 20*d. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4750382 to the power of 1\/2, to the nearest integer?\nAnswer: 2180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 4. What is v(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - ((-7)\/4 + 2)*-9. Let x = 1354 - 1354. Which is the fourth smallest value? (a) x (b) -0.3 (c) 22 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 14*g**2 + 8*g - 4. Let d(l) = -21*l**2 - 12*l + 6. Give 5*d(y) + 7*z(y).\nAnswer: -7*y**2 - 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 305*y**2 + 34*y - 540. Is l(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l = 15 - 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 384131*-2.\nAnswer: -768262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 5 (c) -0.1 (d) -0.0833\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -20190 + 16*x - 21*x + 4*x**2 + 18363 + 6*x in the form d*x + v*x**2 + h and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**4 + 4*q**3 - 4*q**2 - 4. Let f(d) = d**4 + 5*d**3 - 3*d**2 - 5. Let r(u) = -4*f(u) + 5*k(u). Find the third derivative of r(y) wrt y.\nAnswer: 144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97\/((-2052)\/(-204) + -10).\nAnswer: 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 + 4*w - 10. Let v be r(2). Let o be v*(-1)\/1 + 4 + -1. Let i(m) = -474*m**2 + 11*m - 25. Let h be i(o). Round h to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 732851 (base 9) to base 6\nAnswer: 13154414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - (-2 - (2 + -3)). Let b = n - -14. Suppose -6099996 = -g + 2*g + q, -30499996 = b*g + q. What is g rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.69 - -0.0258300949?\nAnswer: 720.7158300949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 446112781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/14 and ((-75)\/(-220))\/(12\/(-28)).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u + 3*u - 16 - 8 + 6. Let v be d(6). Suppose 5*o - 15 = -5*f, -2*o + 4*f + 16 + 14 = v. Solve -5*x + o + 9 = 3*a, a = 3*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1996 = -2*v - i + 1986, 5*v = 3*i - 36 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**25*q*q**(-2\/5))\/(q*q\/q**0*q)**7 assuming q is positive.\nAnswer: q**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -66 (b) -2 (c) -932 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-7684.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 79*m**2 + 7*m + 28. Let v be k(-9). Let g = 10206 - v. Let b = -30815\/8 + g. Calculate the common denominator of b and -79\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -1 - ((19 - 14) + 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 4*v**2 - 4. Let p be a(3). Let k = 29 + -28. Let q be (-60)\/90 + k\/((-3)\/(-5)). Sort p, q, -3, 4 in increasing order.\nAnswer: -3, q, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.38787ug in nanograms?\nAnswer: 99387.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k**3 + 5*k**2 - 4*k + 4. Let l(x) = 28*x**3 + 14*x**2 - 11*x + 11. Let p(f) = -4*l(f) + 11*o(f). What is the units digit of p(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/((-35)\/7) - (-29)\/((-377)\/(-117))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -120013 (base 4) to base 12\nAnswer: -a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 233585 = -3*z + 6*z, -5*x + 291995 = -z. Round x to the nearest one thousand.\nAnswer: 58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13806)\/18408)\/(-4 + 130\/25).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urhm when four letters picked without replacement from {n: 1, f: 2, r: 1, h: 1, u: 1, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*n - 820 = -266*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1453 - 15\/(-5) - -1. Find the common denominator of (-6)\/(-10) + l\/990 and 4\/(-6) + (-237)\/54.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596697077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -16)*1*11\/66. Let h be -2*-3*((-98)\/12 - -9). Let q = -5 + 9. Which is the second biggest value? (a) q (b) h (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 31\/5 of a week?\nAnswer: 62496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {c: 8, i: 1, m: 1, r: 7, k: 1, q: 2}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000038221 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(1100) + 4.\nAnswer: 4 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q - 46*q + 101*q - 43*q + 5*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t + 2. Give h(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823037068?\nAnswer: 2, 7, 4621, 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11748, -11734, -11702, -11646, -11560, -11438, -11274, -11062?\nAnswer: -10796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/2)\/(4\/(-8344)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1600) + -6*(sqrt(1600) - (sqrt(1600) - (sqrt(1600) + 5*sqrt(1600)))))\/(-3*sqrt(128) - sqrt(32)\/sqrt(100)))**2*4.\nAnswer: 24500000\/3721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -9*u - 138. Let g(x) = 3*x + 45. Let y(p) = -2*c(p) - 7*g(p). Let n be y(-14). Solve -n*s + 5*k - 1 + 16 = 0, 2*k = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 18. Let o(c) = c - 3. Let q be o(j). Let u(y) = -26*y**2 + q*y**2 + 12*y**2. Let w(h) = -h. Give w(u(r)).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2550083910 divided by -6.\nAnswer: -425013985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2325681 - -0.044.\nAnswer: -0.1885681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/2 + 2337*i**2\/2 - 9369*i\/2 - 11705\/2.\nAnswer: (i - 5)*(i + 1)*(i + 2341)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1 - 4 + v + 2. Let x be h(2). Let d be -2 + x + (-5)\/(-4). Is d greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -8\/89 (c) -3 (d) 5\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12\/198827, 0.3, 11\/3, -5?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1799, 3604, 5431, 7292, 9199, 11164, 13199?\n\"Answer: 2*a**3 - a**2 + 1794*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5181, 5182, 5183, 5184, 5185, 5186?\nAnswer: 5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 1 = 4*u + 2, -2*m - 2*u = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357906, 715810, 1073710, 1431606, 1789498?\nAnswer: 2147386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1213 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1840982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 1.1. Let y = g - 2. Let v = 2.9 + -3.4. What is the second smallest value in v, y, -0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/196 and 65\/8.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87.1 - -87. Which is the nearest to n? (a) -11\/4 (b) -4 (c) 1\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3005583, 6011168, 9016753, 12022338, 15027923, 18033508?\nAnswer: 21039093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21716 - 21734. Calculate the common denominator of t and -41\/4885.\nAnswer: 4885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -328*f + 318*f + 291230. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u**2 - 12*u. Let a(r) = 4*r**2 - 15*r. Let g(z) = 4*a(z) - 5*v(z). Let j(q) = 1 + 0*q + 4*q + 0*q + 2. What is j(g(f))?\nAnswer: 4*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -0*o, 0 = 5*a + 5*o - 30. Solve 2*j - 19 = -a*l, 2*l - 7*j - 2 = -3*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -44*x + 47*x + i, 3*x - 5*i = 61. Calculate the remainder when 274 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43824160 by -8764832.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**4\/4 - 2*l**3 + 7*l**2\/2 - 4*l + 2. Let c be y(5). Solve -c = -5*j - x + 3*x, 0 = j + 3*x - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by (((0 - -3) + -6)*-3)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.4 + 10. Let m = g + 1.42. Let w = -6.02 + m. Which is the second smallest value? (a) 1 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*((-106)\/72 - 2\/(-9)). Solve 0 = -5*z - 2*d + 5, -2*z - 3*z = c*d - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 631 by -2191.\nAnswer: -631\/2191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6, 2*f + 0*f = 5*w + 11. Let d be (8\/(-20))\/(w\/110). Let s(h) = -67*h - 1. Let m be s(-1). Calculate the highest common factor of m and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 + 72. Let d = 0.019 - -0.011. Is d at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50584415 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000124148008 rounded to 7 dps?\nAnswer: -0.0000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1774*v - 1745*v - 174 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403 a factor of 3325161283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 h when four letters picked without replacement from axaxxaxahahaa?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218062 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -7*o. Let f = 54 - 54. Let v(g) = 3 + f*g**2 - 6*g**2 - 3. Give z(v(d)).\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {o: 1, k: 1, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 92*b - 145. Determine x(90).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 5*v - 2*v**3 + 195*v**4 - 197*v**4 + v**4 - v**4 - 2*v**4 + (-36*v - 242*v + 124*v)*(-3*v**3 + v**3 + v**3).\nAnswer: 150*v**4 - 2*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 20*j - 568. Let b be m(70). What is the highest common divisor of 312 and b?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 287*g + 85085 = 643*g + 599*g for g.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert eefa4 (base 16) to base 8.\nAnswer: 3567644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 8\/(-20). Let q(i) = -2*i**2 + 2. Let m be q(r). Is 285 + m + 3 - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 4, 677\/4, -0.3, 3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35452161?\nAnswer: 3, 437681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*y - 14, -3 = y - 4*y + 3*p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 q when three letters picked without replacement from {e: 1, r: 8, y: 2, q: 6, f: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r - 18*r + 14 = 0. Calculate the remainder when 10 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) 14 (c) -0.5 (d) 0.2 (e) -1\/3 (f) -731 (g) -66\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8637 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v - 5*p - 11 = 10*v, -11 = -v + p. Let a(q) = -8*q**3 - 8*q + 23. Let u(z) = -3*z**3 - 3*z + 8. Give v*u(k) - 4*a(k).\nAnswer: -k**3 - k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/13 (c) 5 (d) -1239 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77, -145, -193, -209, -181, -97, 55?\n\"Answer: 2*z**3 - 2*z**2 - 76*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 4. Let f be t(7). Let i be 4 + ((-5)\/(-3) - 910\/150). Let r = 6 - 2. Which is the closest to f? (a) -0.1 (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11 - 2*f - f + 4 - f + 14*f - 5*f**2.\nAnswer: -5*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.6 + 9. Let b = 41 - 289\/7. Sort b, -4, k in descending order.\nAnswer: k, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3346754 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 10 = g - 14, 0 = g - 5*t - 36. Calculate the lowest common multiple of g and 608.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.537604 centuries to decades.\nAnswer: 65.37604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 6*j - 5*g - 63 = -13*j, 2*g = -22 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/240 - 5*c**4\/32 - 118*c**2. Solve v(g) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6162640 and 7569200.\nAnswer: 11920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42506809067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*1*(-75)\/675.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c. Let u(w) be the second derivative of -w**3\/3 - 5*w. Let r(m) = -5*m. Let f(o) = -3*r(o) + 7*u(o). What is 8*f(y) - 5*s(y)?\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/2 - 0\/(-36). Determine r, given that 0 + 10\/3*r**2 + 4\/3*r + 8\/3*r**3 + 2\/3*r**y = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2648*i - 5310*i - 2456*i**3 + 2662*i.\nAnswer: -2456*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 10*l + 9. Let o be g(-9). Let s(f) = f**2 + f - 1. Let p be s(o). Is (-85)\/p - (3 - 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -f - i, -2295*f + 3*i = -2299*f - 13. Which is the biggest value? (a) f (b) -0.3 (c) 4 (d) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2)\/((-399)\/1995)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -5*n + 19. Let o = n + 7. Let b = 4 + o. Which is smaller: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331853 is divided by 16046.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 0 + 1)*(-3*r**2 + r**2 + r**2) + 1 - 1 + 2*r**2 + 28*r - 28*r - 5*r**2 as i*r + y + a*r**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 13*j**3 - 451. Let h(y) = -8*y**2. What is h(m(b))?\nAnswer: -12168*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, 0.3, -3, 2.1 in descending order.\nAnswer: 7, 3, 2.1, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 12:52 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006416 rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 2 - 165283*d**2 + 82644*d**2 + 22*d + 82630*d**2. Calculate u(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*6\/(-3))\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:04 PM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 + 9 - 3 + 3 - 2 + (-1 + 6 - 3)*(1 - 2 + 3))*(-y - 2*y + y) to w*y + z and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 10:59 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aw when two letters picked without replacement from {k: 6, a: 2, l: 1, w: 1, j: 9, h: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -4, 0.4, 44, 5, -0.01 in descending order.\nAnswer: 44, 5, 2\/3, 0.4, -0.01, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175609 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 12. Solve -f = -j + 4 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 l when two letters picked without replacement from {l: 7, t: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**4\/4 - x**3\/3 - 5*x**2\/2 - 2*x - 2. Let i = -24 + 28. What are the prime factors of o(i)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.88907 + -0.89. Round k to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*o**3*q**3*z**2 + 129*o**3*q*z**2 + o*q**3 + o*q*z**2 + 18*q**3 wrt o?\nAnswer: -18*o*q**3*z**2 + 774*o*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2331 (b) -5\/4 (c) -0.2 (d) 10 (e) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 + 16 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**8*m*m))\/(m\/m**10))\/(m\/m**4)**(-48))**(-24) assuming m is positive.\nAnswer: m**3096","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from mmmmmmmqqmmqmeqmmmqm.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -935.587413*-1\nAnswer: 935.587413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2 - 3319852*j - 2755354325476 = 0?\nAnswer: -1659926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1099, -1102, -1105, -1108?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/(-10) + (-2)\/(-4). Let c(b) be the third derivative of b**6\/30 - b**5\/60 + b**3\/6 - b**2. What is the remainder when 8 is divided by c(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -688 - (-2)\/(4 - (-14)\/(-4)). Let d be (-1077)\/x + 30\/(-18). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 240 - 223. Let o(r) = r**2 - 15*r + 51. Let k be o(n). What is the greatest common factor of k and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/g*g**(-7))**(1\/3) assuming g is positive.\nAnswer: g**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + v - 31 = 0, 2*v = 5572*f - 5569*f + 84 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38850144*f*x**3 - 1410387*f*x + x**4 + 5*x wrt x?\nAnswer: -233100864*f*x + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5081.\nAnswer: 5081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*o - 15. Calculate the least common multiple of 30 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 759699 to the nearest integer?\nAnswer: 872","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -3.6, 3, 815?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -698529 divided by -39\nAnswer: 17911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -5. Suppose -j + 0*j + 14 = -2*p, -4*p - 38 = -c*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x + 7. Let v(y) = 15 + y - 35 + 11 + 8 - 2*y. What is -h(g) - 6*v(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9557 (base 10) to base 9.\nAnswer: -14088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3218745 divided by -1072915.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 11*s + 11. Let m be l(8). Let j = m + 19. Suppose j = 3*t - 9. Calculate the lowest common multiple of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 o, and 1 t when four letters picked without replacement from {r: 1, y: 4, o: 4, t: 2, h: 5}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -23*r**5\/5 + 35*r**3\/3 + 29. What is the third derivative of o(g) wrt g?\nAnswer: -552*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 56536830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -0.2, 16.06, 5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5584 - 5577. Which is the third smallest value? (a) 8 (b) -4 (c) -0.4 (d) y (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.06 (b) -17 (c) 0.9 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2657, -2133, -1609, -1085, -561, -37?\n\"Answer: 524*a - 3181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14044638 to the nearest integer?\nAnswer: 3748","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 - 2*(-21)\/14. Let f(d) = d + 8*d - c*d + 5*d. Let u(v) be the second derivative of v**3\/3 + 2*v. Calculate u(f(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/7 - 18)*(-6)\/4. Let b = o + -13. Suppose -b = y - 5*y. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 9*n**2 + 6*n - 5. Let c(r) = -r**3 - 9*r**2 - 6*r + 5. Let s(a) = 2*c(a) + 3*y(a). What is the remainder when 64 is divided by s(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111011010101111 (base 2) to base 5.\nAnswer: -1433013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7*d + 12 + 2 + 6 + 9 - 6*d.\nAnswer: d + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/9 (b) -43 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3944 - 3963 = -8*r + 3958 - 11841 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 10.6. Sort -1\/2, w, -3\/8 in descending order.\nAnswer: -3\/8, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22576 - -0.22576. Which is the closest to r? (a) 2\/11 (b) 0.2 (c) -5\/3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 1 (c) -1\/8 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 718 and 150421.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -68*3\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*u**3 + 3 - 3*u + 8*u**3 - 1 in the form t*u**2 + n*u**3 + k + x*u and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/115 (b) -3 (c) -0.009 (d) -0.1 (e) 3\/2 (f) -1.4 (g) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**6*w**2 - 9*n**5*w**2 - 190*n**2*w**2 wrt n.\nAnswer: 480*n**3*w**2 - 540*n**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:06 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3331877463 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 395273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10\/6)\/(-3 - (-10)\/3). Suppose -h + 87 = 32. What is the greatest common divisor of h and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.175 in -3\/5, 2, 3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 4*p - 11*b - 132, p + 5*b = 33. Calculate the least common multiple of 13 and p.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, f: 6, v: 4}. Give prob of picking 3 v.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -23398, 4, 5.\nAnswer: -23398, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -201 (base 5) in base 10?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 11*w + 8. Let v be ((-1)\/(-2))\/(1\/8). Suppose b + 45 = -v*b. Is u(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 25 + 10 = 0. Let a be (2 + 72\/(-28))*s. Let 8*h**4 + 8*h**3 + 6*h**a - 18*h**2 + 6 - 6*h**4 - 2 - 2*h = 0. What is h?\nAnswer: -2, -1\/2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 1. Let b be w(1). Suppose 0 = 2*n + 3*n + 2*p - 14, -b*p - 12 = 0. What is the least common multiple of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 24883372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + q + 29601 = 0. Let h = -2223 - q. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((3 + sqrt(3) + 0 + sqrt(3))*-5 + sqrt(96)\/sqrt(8) + 2 + 1*sqrt(3))*1)**2.\nAnswer: -1896 - 1092*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44 - 37*l**3 + 6*l**3 + 4 - l**3 with respect to l.\nAnswer: -96*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t + 44 = 296 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819078 is divided by 3029.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*v**3 + v**3 + 2*v**3 + (-10*v**2 + 2*v**2 + 71*v**2)*(2*v + 4 - 4).\nAnswer: 119*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87.71 - 92.6. Let d = 0.11 - k. Let h = 3 - 5. What is the nearest to h in 4, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**2 + 71828*g + 2795208 = 0?\nAnswer: -17918, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*y = 4*h + 34, 29*h + 0*y + 4285 = y + 4029 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 2*y + 2*y)*(3*y + 2*y - 3*y) + 99*y**2 - 74*y**2 + 114*y**2.\nAnswer: 141*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.0323 + -15.5323. Let q = -3.2 + 3. Put 5, 0.013, s, q in descending order.\nAnswer: 5, s, 0.013, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 5:28 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 114351.\nAnswer: 2973126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 113?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38286971?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/88 and -73\/40.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u\/((u**0\/u)\/u))\/u*u)\/u)**(-17)\/(u**2)**(-2\/17) assuming u is positive.\nAnswer: u**(-863\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**3\/3 - 6*s**2 - 9*s - 11. Let g be v(-11). Suppose 5*b - 3381 = -g*t, b - 449 = 2*t + 232. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 41 - 57 = 0. Solve -2*i - 2*b + b - 3 = 0, 2*i = -n*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 50*i + 128 + 88 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 64705541 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*j - 98 + 155 = 3*u - 104, 126 = 6*u - 3*j for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5640 and 31056895?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 126408034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6088672?\nAnswer: 2, 190271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1345693 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -99932114 > -99932112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 4*s = -8, 16 = -5*g + 5*s - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*i + 60, w - i - 5 = 3*i. What is the biggest value in w, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*13*(-10)\/(-390).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8690369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 - 134. Let z = -87 + i. Let x = -69.8 + z. Put 3\/5, x, -2\/3 in increasing order.\nAnswer: -2\/3, x, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxc when three letters picked without replacement from {b: 4, c: 2, x: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2195 divided by -439.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 29*p + 154. Let w be u(-22). Suppose w = -0*l + 27*l - 297. Calculate the lowest common multiple of l and (13 - -1)*(-1)\/(-2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-716)\/180 - -4 - 60\/270.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -3)*((-38)\/20 - -2). Which is the smallest value? (a) 28 (b) 0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7096489447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svsllslll. What is prob of sequence sl?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14143221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*j + 11*j + 29*j + (3 - 4 + 4)*(-j - 2 - 1 + 2).\nAnswer: 18*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) + (sqrt(76) + 2*sqrt(76))*-6)))\/sqrt(4) - (((sqrt(931) + 2)**2 - sqrt(931)) + 2).\nAnswer: -937 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 10:57 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 107981.\nAnswer: -107981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -761? (a) 0.05 (b) -0.4 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/6431, -0.1, -20?\nAnswer: 2\/6431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(1 - 8\/12). Suppose 10 = 2*k + i. Solve -3*n = u - 15, -2*n - 3 = -k*u - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83*n**3*u**3 + 11*n**3*u**2 + 38*n**3*u + 110*n**2*u**2 + 2*n**2*u - 395*n*u**4 + n*u**2 - 40*u**4 - 33 wrt u.\nAnswer: 498*n**3 - 9480*n*u - 960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1855412864?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*o + 19*g - 14*g - 103 = 0, 16*o - 21*o + 14 = g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20448359.\nAnswer: 61, 101, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 16. Calculate the lowest common multiple of 10 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25266072 a multiple of 282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 45503539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrytw. Give prob of sequence rt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from ywdvvvvvhd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 62*h + h - 540 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2252 = -3*r, -26*v + 25*v = 2*r - 1483. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9 + 15.1. Let s be 2\/(-2*13\/65). What is the third smallest value in -1, s, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q - 10*q + 1 = x - 2, 7*x = -2*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -64*z**2 + 36*z - 35. Determine k(1).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7495.4 - 8981. What is n rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11830163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1498410073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/5)*k*(k*k**(-2)\/k)\/k*k*k*k\/k**(-2)*k\/(k**(-1)\/k))**(29\/3))**(-24\/11) assuming k is positive.\nAnswer: k**(-696\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 0*g**2 - 2*g + 0*g**2 + 6*g - g**2. Let w be d(3). Suppose w*l = 4*l - 2. Solve -5*o = -l*o + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139849.\nAnswer: 107, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.461 + 4.46091065. Round k to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 64. Let d = -18 + g. Let i = -54 - -111. Calculate the highest common factor of i and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(7) - 1*sqrt(7)) + 4))*3.\nAnswer: -12 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2. Let r(j) = -18*j**2 - 14*j + 14. Let v(o) = -o**2 - o + 1. Let u(h) = -2*r(h) + 28*v(h). Give z(u(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-8 + -3 - (2 - 21))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/4*24\/(-6). Let b(h) = -h**3 - 3*h**2. Let t be b(-3). Suppose -36 = -2*d - t*d. Calculate the highest common factor of m and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1689534, -1689451, -1689370, -1689291?\nAnswer: -1689214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i - 1 - i)*(2 + 0 + 1).\nAnswer: -9*i - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (-1)\/(-5) - 63\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 29*t + 976. Let u = t - -83. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 1 + 11 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -541.5 - -541.49993054. What is g rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i - 1474 + 220 = 0. Calculate the remainder when 203 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 31*g + 11. Let c(r) = 4*r**2 + 30*r - 10. Let z(j) = -5*c(j) - 4*q(j). Factor z(i).\nAnswer: -2*(i + 1)*(16*i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**4 + 5360*k**3 - 23150205*k**2 wrt k?\nAnswer: -72*k + 32160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + -12 + (-3 - (3 + -4) - -6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 824.329 - 824.2. What is the closest to 0 in 0.4, -1\/2, q, -1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 485689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-6))\/(-2)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*1170\/(-1755) + 4 + (-942)\/(-27)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = 4. Let f be (-70)\/(-21)*1548\/30. Suppose -2*v - f = -3*j, -v + n*v + 58 = j. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33902, -72827, -116780, -165761, -219770?\n\"Answer: -2514*c**2 - 31383*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b + 2*b - 2*b + 0*b + b + (0 - 1 + 2)*(-2*b + 4*b - 4*b) - 19*b + 10*b - 8 + 15*b.\nAnswer: 5*b - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*((sqrt(104) - (2*sqrt(104) - sqrt(104))) + sqrt(104)))\/(sqrt(8) - (sqrt(200) + 2*sqrt(200))) + 3*(1*sqrt(832) + 1).\nAnswer: 166*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13141 - -13106. Let q(u) = 2*u**2 + 68*u - 58. What is q(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 2\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o - 4. Let b be (64\/5)\/((-1)\/(-5)). List the prime factors of (7\/14)\/(o\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 124992*n - 874896. Give k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 21*b**5\/2 - 7*b**4\/12 - 3*b**2\/2 - 6*b - 1. What is the third derivative of d(s) wrt s?\nAnswer: 1260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*o - 84, -2*o + o + 76 = 5*y. Suppose 4*m + y = 6*m. Find the third derivative of 16*b**2 - 15*b**2 + m*b**5 + 9*b**2 wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 6*s + 8. What is a(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 at least 512?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 64 - 62.45. Let k = r - -2.45. Let m(p) = -p - 1. Let d be m(-4). Which is the nearest to -1? (a) k (b) 2\/15 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6023383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 935?\nAnswer: 4\/935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-6))\/((-4)\/12). Is 3\/29 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*i*n*x + 5*a*i*x + a*n**2*x + 5*i*n**2*x + 3*i*n - 2*n**2*x - 2*x wrt a?\nAnswer: 2*i*n*x + 5*i*x + n**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1207*n**2 + 6*n + 19. What are the prime factors of v(-3)?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17525473*f**5 - 321*f + 19666 wrt f?\nAnswer: 350509460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 132, 140, 140, 126?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/3 (b) -2\/7 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 17*w**2 - 46*w + 52. Let d be y(14). Let n(k) = -4*k + 13. Let f(m) = 2*m - 7. What is d*n(o) - 7*f(o)?\nAnswer: 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 7:50 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18959 or 3\/115?\nAnswer: 18959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3624745472 to the nearest integer?\nAnswer: 60206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146121, 146121, 146111, 146085, 146037, 145961?\nAnswer: 145851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 3*m + 3. Let x = 2 - 0. Calculate the remainder when k(-3) is divided by 18 + (x - 4) + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-24)\/144*1852\/(-23) - 5. Let i = -186\/23 + h. Do 13.9 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -4*c + 14. Let q(s) = 3*s - 13. Let g(y) = -7*q(y) - 6*v(y). What is g(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*a + 28*a + 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + d - d + (2 + 0 - 3)*(2 + 2 - 3)*(3 + 4*d - 3).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 73*b + 5. Let g(n) = -18*n - 1. Let f(x) = -5*g(x) - s(x). Let j(w) = -w**2 - 34*w. Give 5*f(m) + 2*j(m).\nAnswer: -2*m**2 + 17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h + 246 + 4*h**2 - 246 - h**2 + 0*h + 0*h + (-1 + 1 + 17*h)*(1 - 1 + 2*h).\nAnswer: 37*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 79, 382 in increasing order.\nAnswer: -4, 79, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {v: 2, p: 5, q: 1, k: 1, u: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 55. What is the third biggest value in 0.1, -2, 1\/6, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 12:09 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of 12*n - 3*n**2 + 5\/54*n**4 + 0*n**3 + 1\/30*n**5 + 0. Factor y(i).\nAnswer: 2*i*(9*i + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 9*t = 560. Suppose u - t = -5*j + 343, -3*u - 6 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + -1 + (-5 - 1) + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 2850?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -12 + 12 + -2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 36. What are the prime factors of t(-29)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*f**3*w**3 + 2*f**3*w**2 - 2302*f**3 - 324*f**2*w**3 + 1013*f**2*w wrt f.\nAnswer: -108*w**3 + 12*w**2 - 13812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2118, -3953, -5226, -5655, -4958, -2853, 942?\n\"Answer: 47*c**3 - c**2 - 2161*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqc when three letters picked without replacement from cqqcq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -213978, -214159, -214340, -214521, -214702, -214883?\n\"Answer: -181*t - 213797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r + 4*b = 376, r = -b + 364. Suppose -137*w - r = -143*w. Let j be (-712)\/(-36) - 6\/(-27). Calculate the greatest common factor of j and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*y**2\/7 + 995376*y\/7 - 2986182\/7 = 0. What is y?\nAnswer: -165899, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x. Let y(m) be the first derivative of -134 + m**2 + 116 + 174 + 4*m. Give y(d(w)).\nAnswer: -4*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -89*n - 2. Let c(m) = 5*m. Give c(x(v)).\nAnswer: -445*v - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k = -y + 417, -2*y - 2037*k + 2033*k = -14 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.92 - 0.08. Let o be 0 + 3 + -1*(-93)\/(-33). What is the smallest value in o, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 71. Suppose 8*v + 14*v - 4*v = 13464. What is the greatest common factor of v and k?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 + c**2 - c. Let g(l) = l + 3*l**2 + l - 2 + 0*l**2 - 2*l**2. Let t be g(-3). Calculate u(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23232654 divided by -6.\nAnswer: -3872109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 0.03 (b) -219 (c) 1\/2 (d) 150\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -18, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -6 (b) -1 (c) 194 (d) 9 (e) -0.1 (f) 2 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(450)*2)\/sqrt(10) + sqrt(45))\/(2*sqrt(324) - sqrt(324))*-2 + -3)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2102112 - 0?\nAnswer: -2102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*((-86)\/(-3) + -1)*-1. Suppose -6*v + l = -4*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 4*j**2. Let w be (-4)\/(12\/(-9)) + 7. Suppose w*g - g = 216. Let q(t) = -54*t**2 + 28*t**2 + g*t**2. What is q(y(b))?\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 10 + 5*b**2 - 10. Let h(q) be the second derivative of q**3\/3 + q. Determine o(h(k)).\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 384409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z. Let d(y) = 20*y. Let n(h) = -6*d(h) + 17*p(h). Let j(l) = -1391*l. Let r(u) = -679*u. Let m(i) = -2*j(i) + 5*r(i). Determine m(n(a)).\nAnswer: 613*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 564268804 rounded to the nearest 1000000?\nAnswer: 564000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6)*s\/(s*s\/(s\/(s\/(s*s*s\/s**(-2)*s))*s*s)))**7 assuming s is positive.\nAnswer: s**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 12:36 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ls when two letters picked without replacement from tbwtlcbsclllclclc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -459, -1962, -4511, -8106, -12747, -18434, -25167?\nAnswer: -32946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 8*h + 10. Let z be w(7). Suppose 0 = -2*g - z*g. Suppose 3*m - 39 = -g*m. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 9*j + 10. Let r be k(10). Let i be 2\/2 - 2*-2. What is the greatest common divisor of i and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/4 and -143\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 61 + 98 = 67. What is the closest to -4 in -0.2, t, 37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/30 and -79\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11516005 divided by 6155.\nAnswer: -1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6200 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-18)*(-117)\/273\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.9540947*-0.3\nAnswer: 0.88622841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102082433059 less than 0.015?\nAnswer: -102082433058.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Suppose h + 287 = o, h = n*o + 6*h - 539. Suppose -3*l - 4*x + 246 = -543, -o = -l + 5*x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 126401, 126390, 126365, 126320, 126249?\n\"Answer: -l**3 - l**2 - l + 126404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14630349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -60*q + 365. Determine n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3811 and 515.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**2 - 5 - 9 - 6*s**2 - 198*s + 198*s. Let j(q) = 8*q**2 - 5. Give 6*b(r) - 17*j(r).\nAnswer: 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -1*(-9 - -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2420910, -2420924, -2420938?\n\"Answer: -14*v - 2420896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*j**2 + 300*j + 3166 - 3166.\nAnswer: 82*j**2 + 300*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**4 - 2 + 2)*(-2*k + 912 - 899 - 1 + 990).\nAnswer: -4*k**5 + 2004*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*168822\/46669 + 76.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 7:48 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -833*t + 548099. Determine v(658).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 88\/391455 and -61\/347960?\nAnswer: 3131640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u - 3*u + 5*u)*((3 + 4 + 1)*(0 - 4 + 3)*(1 - 4 + 1) + 27 + 17 - 30) as j*u + n and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 4480657591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2. Let w(v) = 813*v. Calculate r(w(f)).\nAnswer: -660969*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -1, 10 in descending order.\nAnswer: 10, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + -1100002120?\nAnswer: -1100002130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12952 + -12951.985198. Round n to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11714772653785 and 0.3.\nAnswer: 11714772653785.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 4 - ((-7 - -3 - -13) + -21 + 26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**2 - 4*q + 6. Let z be k(2). What is the derivative of z - 12*a**3 + 18*a - 18*a wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*q + 24. Suppose 95 = 4*x + 3*j, x + 5*j - 16 = q. Let i(g) = 23 - 6*g**2 - x. Let a(l) = l. Calculate a(i(r)).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {w: 5, i: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l - l**4 + 2*l**4 - 2*l - 3 to the form t*l + j*l**4 + c + w*l**3 + b*l**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-45))\/(1\/5))\/(500\/1500).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888 = 252*z - 260*z. What is the greatest common divisor of 37 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 12*n + 2 = 0. Let p be 1064\/(-3360) - n\/24. Which is the smallest value? (a) 0 (b) p (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 5*p - 1 - 3)*(4*p + 59 - 59)*(2*p**2 + p**2 - 2*p**2) as l + r*p**4 + u*p**2 + c*p**3 + a*p and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 3*m**4\/4 - 11*m**3\/2 - 104*m - 160. Let j(p) be the first derivative of k(p). Find the second derivative of j(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**3 - 18*a**4 - 3*a**3 + 16*a**4 - a**2 + 4*a**2 - 2*a**2 to z + g*a**2 + h*a**4 + o*a + p*a**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(285\/(-120))*6*(-2)\/84.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1230111 - 4?\nAnswer: 1230102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -251*z**2\/2 + 747. Let x(t) = -2*t. Give x(g(i)).\nAnswer: 502*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3028 rounded to two decimal places?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2470 - 3?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02920173 to 5 dps.\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 z when three letters picked without replacement from {z: 1, a: 1, t: 2}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 630?\nAnswer: -19\/630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -501 and -501 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = c + 18. What is the remainder when c is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27*(-24)\/(-6480))\/((-17)\/(-170)*(-15)\/(-54))?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = 4*l, -d + 2*d = 2*l - 10. Let p be -3 - (-3 - 0)*3. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/(-22) - 2 - (-106)\/22. Suppose -2*w + 2*r - 3*r + j = 0, 0 = 4*w + 5*r - 13. Suppose 5*z = w*z + 387. Is 25 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -193622, -192578, -191534, -190490, -189446?\n\"Answer: 1044*d - 194666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10062\/18 - 1*(-2)\/2.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.317274949+0.5\nAnswer: 0.817274949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2058 and 27282.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/j**(-1\/33)*j\/j**(4\/5) assuming j is positive.\nAnswer: j**(533\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 1395*p**2 + 5560*p - 80 = 0.\nAnswer: -4, 4\/279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -92. Suppose t - 7 = k. Solve -3*j + t = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 - -6 - (72 + -62)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-12) - (-69)\/(-18). Let u(c) = -5*c**2 - 4*c. Let i(w) = -3*w**2 - 2*w. Let j(z) = a*u(z) + 7*i(z). Find the second derivative of j(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -555, -488, -369, -192, 49?\n\"Answer: z**3 + 20*z**2 - 576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 8*d**2 - 4*d - 25. Let h(u) = -7*u**2 + 3*u + 25. Let p(t) = -5*a(t) - 6*h(t). What is the remainder when p(7) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -461*a**2 + 112947*a - 477. What is t(245)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/24 - j**3\/2 + 2*j**2. Let a be b(-3). Suppose -4*x + 1080 = 4*u - 0*x, -3*x = a. Round u to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1849 is divided by 375?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2991*d - 2409.\nAnswer: -2991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13*h**3 - 3*h**2 + 9*h. Let i(w) = -w**3 - w**2 + 2*w + 1. Let t(a) = -3*i(a) + k(a). Let u(v) = 15*v**3 + 4*v - 4. Give -4*t(d) + 3*u(d).\nAnswer: -19*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 346a3 + 1133?\nAnswer: 35816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/4 + 3453*z - 41427\/4 = 0 for z.\nAnswer: 3, 13809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-290)\/(-6) - (-1)\/(-3). What are the prime factors of ((-372)\/a)\/((-2)\/16)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 5*l + 6)*(0*l**3 - l**3 + 0*l**3) + (-l + l - l**4)*(-2 - 4 + 4).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x, 0 = 4*y - 4*x - 8. Let r(o) = 4*o**2 + o - 1. Let v(z) = -z**2 + 1. Suppose -23*h + 22*h = -1. What is h*r(j) + y*v(j)?\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 38 = -26 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2\/7, 0.08, -1\/5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1045.\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 697394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 17*k - 3. Let s(i) = 9*i + 2. Give -5*s(a) - 3*v(a).\nAnswer: -3*a**2 + 6*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -2*v**3\/3 + 5*v**2 - 5*v. Let h be r(3). Let f be 40\/(-32)*h\/(-10). Which is the nearest to f? (a) 3\/8 (b) 2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3367831.\nAnswer: 139, 24229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - -33 - (-2 + 2 + 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4*x + 24 = 44, -3*r = -2*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y. Let z(m) = 5*m - 4. Let v(s) = -70*s + 55. Let r(c) = 4*v(c) + 55*z(c). Suppose -4*g = -j - 17, 14 = j - 2*j + 3*g. Give j*r(l) - 6*p(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 438207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 7*v - 11. Let j be x(-8). Let p = 3 + j. Solve -2*b - 2*b - 4*l - 20 = p, 0 = -3*b + l - 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 502 (b) 7 (c) -0.2 (d) 0.4 (e) 3 (f) -12 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -144 + 144.63. Let x = d + -0.73. What is the second smallest value in 3, -1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147442?\nAnswer: 2, 3, 11, 32537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -3*n - 135. Let u be 4\/((-1)\/1*-2). Suppose j + u*j = n. Solve -9 = -2*g - 4*z + 3, 2*g - j = -3*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.4678579 to 0 decimal places.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p**3 - 3*p + 3. Let j(k) = 11*k**3 - 2*k**3 - 5*k**3 + 4 - 3 - k. What is 2*a(m) - 5*j(m)?\nAnswer: -2*m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 and 8332.\nAnswer: 916520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -26, -4, 1, -28, 5.\nAnswer: -28, -26, -4, -2, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 80 (b) 0.54 (c) -5 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:34 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(704) + (2 + (sqrt(704) - (sqrt(704) + 2*sqrt(704) - sqrt(704))) - sqrt(704)) + (sqrt(704) + 2)*-5)*-2)**2.\nAnswer: 110592*sqrt(11) + 3658752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 782651.08340193 + -782568.0834. Let x = v - 83. Round x to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2808344 and 11704.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 1422033212?\nAnswer: 1422033200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 947071582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625 (base 11) in base 14?\nAnswer: a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1202102 + 21021111101?\nAnswer: 21100020210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11001 (base 2) to base 14\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1826*w**2 + 3*w + 34?\nAnswer: -3652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 3*b + 30*w + 2616 = -0*b, 440 = -5*b - 5*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-20)\/(100\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 189*o**2 - 100*o - 320. What is the remainder when p(-95) is divided by 42?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-7)*(x*x**(-1))\/x)**(9\/4) assuming x is positive.\nAnswer: x**(63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 21*r**2 - 216*r - 3260. Determine s(-24).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:16 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 121. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v**2 + 3195*v - 19350 = 0.\nAnswer: -645, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -40\/17 (b) -6\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.3 + 6.3. Suppose -3*o = 5*w - 16 - 14, -2*w + 31 = 5*o. Which is the second smallest value? (a) -0.2 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -2, 1, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 7010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeaqzeoezbezozazozeo. What is prob of picking 2 a?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3 - 2827*m**2\/2 - 3539*m\/2 - 354 = 0?\nAnswer: -1, -1\/4, 708","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 9*t - 8. Let x be w(-7). Let a = 1 - 0. What is the remainder when (x\/(-4))\/(a\/6) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1816 - 1817. Let c(o) = 3*o**3 - 2*o**2 - 3*o. What is c(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 27, 19, -1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 262129919.\nAnswer: 17, 23, 670409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/((-56)\/(-7)))\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/198 and 131\/6.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37456213 to the nearest integer?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -38\/3, 3, 5?\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228814270 to the power of 1\/2, to the nearest integer?\nAnswer: 65029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 5*q + 5*s, 0*q = -2*q + 4*s + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 9:09 AM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -2\/5, -1\/2, 283, -2\/9, -1?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + (-2 - (-168)\/(-77))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -77*l**4\/4 + 183*l + 24. Differentiate j(x) with respect to x.\nAnswer: -231*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 2\/5 (b) -2\/7 (c) 11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 + 12 + -11 + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17388496 and 3196.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15387 bigger than -468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2. Let v(h) = 42*h + 2. What is k(v(s))?\nAnswer: -1764*s**2 - 168*s - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 6*c**2 - 4*c + 3. Let s = -99 - -99. Let u be (-2 + s)\/(-7 + (-366)\/(-54)). Let p(o) = o**2 - 11*o + 23. Let h be p(u). Give q(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 306 - 306 + 3*v + 0*v. Let d(y) = 61*y. Calculate u(d(w)).\nAnswer: 183*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3222988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h = -s + 55, 5*h - 98*s - 17 = -97*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 571675 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 81, 4 in descending order.\nAnswer: 81, 5, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + (-3*sqrt(384) + sqrt(384) + sqrt(384) + sqrt(384))*-2 - sqrt(384))\/sqrt(12)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 116, 0.05.\nAnswer: 0.05, 3, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.3 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -847 - -974. Is 1410\/11 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540 a factor of 95179228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k**3 + 836*k**2 + 11024*k + 2704 = 0. What is k?\nAnswer: -26, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11551 (base 7) to base 11.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014094 to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 58*p + 466. Let a be w(-8). Suppose 3*q - 135 = -2*q. Let k = q + -26. Sort k, 6, 3, a in descending order.\nAnswer: 6, 3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17761562 (base 8) to base 2\nAnswer: -1111111110001101110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/10 and 2\/(-28)*(-791)\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*n - 4*y - 21, n - 5*y - 19 = 0. Let x = 0 + -5. Let c = 5 + x. Solve c = -z - n*z + 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(9\/5))**20\/((g*g**(-13\/4))\/((g**(-10)\/g)\/g)))**(-3\/11) assuming g is positive.\nAnswer: g**(-315\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(130)*-2*4)\/(sqrt(640)*1))**2.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 15*u - 49. Let z be p(9). Solve -z*s - 4 = -9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 + 1080260*x + 18365865.\nAnswer: -5*(x - 216069)*(x + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/10)\/(v*(v\/((v\/(v\/(v\/(v\/(v**10*v*v)*v))*v))\/v))\/v))\/(((v**(-5)*v)\/v)\/(v\/((v*v*v**(-1)\/v)\/v))))**26 assuming v is positive.\nAnswer: v**(1989\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 95*b + 4468. Let j(q) = 136*q + 6702. Let s(t) = -10*a(t) + 7*j(t). Let p(l) = 3*l. Determine s(p(i)).\nAnswer: 6*i + 2234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-96)\/(-120)*(27\/6 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -88?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 45*k + 854. Let y be f(-19). Which is smaller: y or 106.74?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.1 - 1.9. Let y = 13 + d. Let g = -2 + y. What is the nearest to 1 in g, -1\/3, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.984 to one dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-90))\/((-182)\/(-2210)*17).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-214)\/(-4) - (-3)\/6. Suppose o - q = -2*i, -i + 0*o = 4*o - 20. Suppose 5*l - 2*l - 42 = -x, 2*l + 5*x - i = 0. Solve -5*h - 1 = l for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/19247744 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 + -6) - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-139)\/(12\/(1 + 3)). Let s(w) = -w**3 - 7*w**2 + 6*w - 4. Let g be s(-7). Let j = v - g. Which is the biggest value? (a) 0.3 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 173\/(-11) - -15 - (-48230)\/1430?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53174772*g**3*t**3 + 50848926*g**2*t**3 wrt g.\nAnswer: -319048632*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3325 is divided by 1095?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 3\/3781, 1\/11, 0.5, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*u**4 - u**4 + 0 + 0 + (0*u**2 - u**2 + 3*u**2)*(2*u**2 - u + u) - 3*u**4 + 3 - 3 - 3*u**4 + 2*u**4 - 2*u**4.\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(3\/17302993) - (-7 - -9). Let n = 24552995 + r. Round n to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*d + 73*d - 64*d - 53*d.\nAnswer: -58*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 + 8)\/(1 + (-4)\/6). Let a = -4 + 7. Let c(q) = -q**a - 3 + 2*q**3 + 0*q - q - 3*q**2. What is c(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-10) + 5\/25. Suppose 5*g = -2*p + 28, 3*p + 2*g - 64 = -m*p. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2213.5 + 2213. What is the second biggest value in 75, 10, p?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -5*i + 1. Suppose 0 = 3*b - b - 3*y - 1, 3*b = 3*y + 3. Suppose -100 - 16 = -b*d. Suppose 4*f - d = -14. Let l(j) = j. Determine f*l(v) + 2*o(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1475 divided by -59.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-30))\/((-4)\/6). Sort -0.3, 3\/31, u, -3\/5 in ascending order.\nAnswer: -3\/5, -0.3, 3\/31, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82000*z**2 - 16361*z**2 - 24004*z**2.\nAnswer: -122365*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 69*u**2 + 387*u + 56. What is m(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9\/8 in -3, -5, -2, -6704, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 0, -4, -10, -18, -28, -40?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-6)\/(-3))*-2. Does 16 divide (z\/(-9)*-3)\/((-4)\/226)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9271833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4872\/13, 1\/25, 3\/5, 2\/3, -1?\nAnswer: -4872\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 62 + -67. Let t be (0 - x)*(-23 - -24). Solve 4 = 5*h + t*i - 11, 4 = -4*h + 4*i for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 2*v**2 + 2*v - 4. Let q be i(3). What are the prime factors of (-20)\/30 - q\/(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 11*f**2 - 21*f - 3. Let w(l) = 2*l**2 + 46*l - 289. Let j be w(5). Determine d(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkuukkk. Give prob of sequence ku.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.8, -235, 0.4, 5\/2, -5, -2\/17.\nAnswer: -235, -5, -2\/17, 0.4, 0.8, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from doueeeode?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -0.05214?\nAnswer: -0.34786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 6*j + 9. Let x be (-7)\/((-28)\/(-8)) - -8. What is v(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-322)\/(-16) + 15\/(-120). Calculate the greatest common factor of 80 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-3)*10)\/((-4)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6803 is divided by 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/3 (c) 2 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000527476 rounded to seven decimal places?\nAnswer: 0.0000527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -351 - -344 - (21 - (-2 + 4 + -2))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -254359 or -1780518\/7?\nAnswer: -254359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 2*d - 7*d**4 + 2*d**4)*(23*d + 30*d + 80*d).\nAnswer: -665*d**5 - 266*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 + 2 + 2)*1. Let c(l) = -l. Let v(p) = -2*p**3 + p**2 - 5*p - 2. Let f be (-4)\/9 + (-539)\/(-99). Give f*c(s) + r*v(s).\nAnswer: 2*s**3 - s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 140972011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f. Let k(u) = 10*u - 3*u - 8*u. Calculate x(k(w)).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.46 - -0.65. Let k = p - 0.39. What is the third smallest value in 3\/2, k, 0?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565604 * 0.27.\nAnswer: 152713.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 122162\/23 at most 5310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, u: 1, h: 4, c: 2, z: 1}. Give prob of sequence hh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -391 + 413. Calculate the remainder when 348 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**3 + 24*d**2 + 12*d - 4984. Let m(i) = -2*i**3 + 10*i**2 + 5*i - 1994. Determine -12*m(r) + 5*p(r).\nAnswer: 4*r**3 - 992","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5952147 less than 2067?\nAnswer: 5954214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z + 27. Let q be b(9). Solve 5*w - 3*w + 6 = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -2\/3*i**3 - 26 + 0*i**2 + 9*i. Let c(g) be the first derivative of k(g). Let z(m) = m. Calculate c(z(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 + 14996*g. Let b(z) = 7*z. Calculate b(d(q)).\nAnswer: -42*q**2 + 104972*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 11*o**2. Let k(i) = -11*i**2. Determine 6*k(h) + 5*n(h).\nAnswer: -5*h**3 - 11*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*z**3 + 12 - 11*z**3 + 30*z**3 in the form m*z**3 + p*z + a + w*z**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/11 (b) -0.1 (c) 165\/4 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 51049 at least as big as 51082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15 (b) -3 (c) -1\/6 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -1) + (-792 - -824)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 3*t**2 + 5*t - 2. Let j be a(4). Sort -5, -7, j in decreasing order.\nAnswer: j, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*q + 1561 = 637. Calculate the highest common factor of q and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001519771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 22 = -5*u, 4*u - 3*u = 4*n - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0*l**3 - 10*l + l**3 + 7*l**2 + 5 - l. Let f = -528 - -520. List the prime factors of p(f).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3\/5 + 170814*w**2\/5 + 2431451883*w\/5 = 0.\nAnswer: -28469, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 147 and 441?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 - 0.32. Let n = -93.813 + 91.813. Put n, 1, o in decreasing order.\nAnswer: 1, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 768 - 4*y**2 - 244*y + 1076*y + 4*y**4 + 2*y**2 - 822*y**3 + 774*y**3 + 14*y**2 = 0. Calculate y.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5 = -2*j. Let g = 22 - 10. What is the smallest common multiple of 0 - (-8 - 0\/j) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5341 - 1788 = 209*b. Let d(u) = -8*u**3 - 4*u**2 - 4*u - 3. What is the remainder when d(-2) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/145 + -251\/1885. Let w = -2 - -1.8. Which is the nearest to w? (a) 2\/7 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 - 3*z**3 + 2*z**3 - 4*z**2 + 2 + 5*z. What is the tens digit of j(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 20 = 2*d. Let p = 402 - 1126. Let t = -724 - p. Put -1, t, d in decreasing order.\nAnswer: d, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from bkkldkl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 18*a**2 + 2*a + 18. What is the units digit of q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*p - 1985*p = -602 + 455 + 3007 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 14\/3)*279\/(-31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c**2 - 76*c - 380. What is s(-7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -45, 4, -4, 1 in decreasing order.\nAnswer: 114, 4, 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/6 and -10\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 845366, 1690734, 2536102?\nAnswer: 3381470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 679 + -368. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 6*p**2 + 5*p - 1. Let b = -555 - -559. Let g(w) = w**3 + 6*w**2 - 7*w + 2. Let k(n) = b*j(n) + 3*g(n). What is k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 8764?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/(-133) + 91263\/57 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 25799.\nAnswer: 77397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 36. Suppose 10*f - 12*f - 30 = 0. Let v be m(f). Solve 3*l + 0*k - 13 = -5*k, -v = 4*l - k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 1. Suppose 2*l = -2*l - 5*m + 16, -m = 0. Suppose l*j - 4 = 4. Suppose 0 = -j*k - 7*k + 45. Let i(r) = -5*r + 1. Calculate k*i(d) - 6*h(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2107943668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20\/7 + 18\/7. What is the closest to g in 5, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:07 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/5682 and -79\/18?\nAnswer: 17046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-140)\/(-24) + 3\/18. Solve 0 = 4*g + 10 + d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 1. Let l = -6 + s. Differentiate 7*y**4 + 3 - l - 10*y**4 wrt y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11870?\nAnswer: 2, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72437, 144719, 217001?\n\"Answer: 72282*u + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/50*(-24)\/30*2070\/552.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12623 + -8557. What are the prime factors of n?\nAnswer: 2, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.057 from 0.05601659.\nAnswer: 0.11301659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4460 + 4459.6. Put b, 0.04, -52 in decreasing order.\nAnswer: 0.04, b, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*m**2*o*w + 2*m**2 + m*o + 34*o*w wrt m.\nAnswer: 120*m*o*w + 4*m + o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 105233 or 104653?\nAnswer: 104653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v - 2. Let j(x) = 33*x + 9. Give -2*j(w) - 9*t(w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*k - 28*k + 7*k**2 - 25*k.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 7*w**2 - 11855*w - 94808. Calculate o(-8).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.709 - 1.\nAnswer: 0.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (4 - 6) + 7\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 726*y + 2160 = 0. What is y?\nAnswer: 3, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -21*s**2 - 7*s - 7. Let n = 496 + -341. Suppose n = -20*p + 15. Let d(m) = -10*m**2 - 3*m - 3. Determine p*d(o) + 3*b(o).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 17120*c - 146547200.\nAnswer: -(c - 17120)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1231 + 2071. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 = -g + 2, 5*g + 3*t = 24. Suppose -5*i = -5*u, 4*i - g = -15. Which is the smallest value? (a) 0.1 (b) u (c) 2\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34\/5)\/((-18)\/(-90)). Suppose 11*s = a - 12. Solve 0 = -s*z - z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 441*f**3*p**2 - 29*f**3*p + 381*f**2*p + 127*f*p**2 wrt f?\nAnswer: 2646*p**2 - 174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - 6*f + 4. Let l be i(-7). Let g be l\/39*-1*3. Which is the nearest to 0.1? (a) -0.2 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 4*q - 2*q - 4 + 3*q - 3*q - 5*q + (-2 - 1 - 2)*(3*q - 3 + 3) - 2*q + q + 3*q in the form y + v*q and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19440.5 from 0.\nAnswer: -19440.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -d356 (base 14) to base 6\nAnswer: -440120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296.755g in micrograms?\nAnswer: 3296755000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23058 and 2563098.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (-4*1*sqrt(119))\/(sqrt(175)*1) + ((sqrt(34)\/sqrt(2) + sqrt(17))*-5 - (-1 + sqrt(17))*-4)*3)**2.\nAnswer: 2256*sqrt(17)\/5 + 153812\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -i - 25. Let p(a) = -213*a + 27700. Calculate the remainder when p(130) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/5 - 12\/20. Let v be (w - 17\/(-3))*12. What is the highest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510665 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/45*(-12)\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12972566*s**3 + 82*s + 64227 wrt s.\nAnswer: -77835396*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t + 47. Suppose -3*g = 11 - 2, 5*g = l - 1. Calculate the remainder when 22 is divided by q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 51*w**2 + 28*w - 15. Let l(c) = 42*c**2 + 28*c - 13. Let d(v) = -6*l(v) + 5*t(v). What is d(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 24719.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**2 + 202*a - 252.\nAnswer: 2*(a + 18)*(6*a - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3102684304 to the nearest integer?\nAnswer: 55702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.01?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/15)*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 126, 234, 348, 468?\n\"Answer: 3*h**2 + 99*h + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55692 and 462?\nAnswer: 612612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 7. Let y be (-730)\/112 + z + 6\/16. Which is the smallest value? (a) y (b) -4\/3 (c) 8 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10*a - 3*n + 1233, 2*a - 4*n = 514. Suppose 2*t + t - a = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/((-4)\/24*-4)*3\/12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -12812 + 12861. Suppose 5*y - 38 - 29 = m, 4*m + 16 = 2*y. Calculate the highest common factor of i and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -8*y - 27. Let n = 3 - 5. Put n, y, -5 in decreasing order.\nAnswer: n, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -5*p + p**2 + 0 + 0 - 2. Let v = 1189 + -1182. Give j(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1243 + 1254 = 5*p - 4*m, 2*p - 991 = -m. What is the third derivative of -p*d**2 + 965*d**2 - 522*d**2 - d**3 - 10*d**5 wrt d?\nAnswer: -600*d**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -59, -57, -53, -47, -39, -29?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57511.3 centuries in millennia?\nAnswer: 5751.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**6\/6 + 103*j**3\/3 - 3*j**2 + 20*j + 122. Find the second derivative of y(c) wrt c.\nAnswer: 20*c**3 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 180.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let z(n) = -2*n**2. Let f(k) = 7*a(k) - 4*z(k). Let c(u) = 2*u + 39 - 39. Determine c(f(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:47 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i. Let o(x) = 7*x. Let q(w) = -3*o(w) - 4*y(w). Let t(c) = 33862*c**2 - 67729*c**2 + 33863*c**2. What is q(t(r))?\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -26\/11 (c) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*n + 678, -61*n + 64*n - 21 = 0. Let v = -60 - -105. Calculate the remainder when a is divided by v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of -j**4\/24 - j**3\/6 + 2*j**2. Let w be s(-3). Solve y - w*d + 18 = d, d - 11 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671498508 a multiple of 304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 363 divide 114694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 11. Let l(f) = f + 1. Let v(g) = 6*l(g) - x(g). Determine v(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l + f - 672, -3*f - 676 = l. Let t = -75 + l. Let s be 1\/(-2)*t\/11. What is the highest common factor of s and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 46\/5 of a millennium?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -309261741.5 - 1225?\nAnswer: -309262966.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7*z**3 - 1. Let q be l(1). Suppose 22 = 2*i - q. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13007, -26015, -39023?\nAnswer: -52031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2148667590?\nAnswer: 2, 3, 5, 23, 647, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18678?\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2029*h**4 - 436*h**2 + 1070179*h?\nAnswer: -24348*h**2 - 872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9061 - -14276. Suppose -i + b = 6*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-6))\/((-1)\/66). Suppose -p = -q - 25. 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 -3 (base 12) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211232 (base 4) to base 16.\nAnswer: 496e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*f - 3, -3*f + 0*p - 3*p + 21 = 0. Suppose f*l + 8 = 8*l. Calculate the lowest common multiple of l and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-416*k**2 + 453*k**2 + 2810*k**2)*(4*k**2 - 6*k**2 + 3*k**2).\nAnswer: 2847*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 37488.12 to the nearest ten.\nAnswer: 37490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 4:22 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 9:40 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(2\/7)\/l))**(25\/3)*l**(-3)\/l**(1\/7) assuming l is positive.\nAnswer: l**(78\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 9*j**6\/10 + 11*j**3\/6 + 10*j. Find the second derivative of x(p) wrt p.\nAnswer: 324*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 - 31. Suppose -3*k - 2*b + 14 = 0, -5*k + 18 = -3*b + b. Is -4*((8 - k) + j) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.4714 + -7.5. What is m rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6)\/sqrt(2) + sqrt(3) - sqrt(3)) + sqrt(3))**2 + -5 + (3*sqrt(147))**2.\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/3)\/m)\/m)**(-40)\/(m**(-4\/7)*m**(-2\/5)))**(-39) assuming m is positive.\nAnswer: m**(-92326\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 0, -49, 8, -5 in ascending order.\nAnswer: -49, -9, -5, -4, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 3084?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*n - 74611 = -1527, -121753 = -5*c + n. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11969206?\nAnswer: 2, 191, 31333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500 and 1800?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d + 241 - 259 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -13000000 to the nearest one million.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3. What is the units digit of u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-495)*2563\/(-6524)?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 300144 + -300139. Let l be 3 + -2 - 4\/5. Sort -1\/10, l, v, -7\/2 in decreasing order.\nAnswer: v, l, -1\/10, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 159*d**3 + 19*d**2 - 100*d - 197. What is i(-2)?\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaqaqqaaaaaaaaaaaqa. Give prob of sequence qaqa.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1729*w + 1745*w = -39232. Is w less than or equal to -2450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 20 = 6*m. Let s(t) = 4 + 6*t + m*t - 2 - 4*t. Give s(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.9 - -3.7. Let g be 10\/21 - 2\/6. What is the smallest value in -0.1, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + 0.01. Let c = -44.88 - -40. Let z = 0.12 - c. What is the closest to g in 4, z, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1753295 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i - 1. Determine d(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:02 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45 by -207199.\nAnswer: 45\/207199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7998 divided by 43\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.005 in -8, 0.4, -1, 1.3, 186?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 39\/(-65) + (-2)\/5. Let r be (-2)\/d*(-1)\/(-16). Put -2\/9, 0, -0.4, r in increasing order.\nAnswer: -0.4, -2\/9, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110001111110111011 (base 2) in base 3?\nAnswer: -1212100121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 91.\nAnswer: -5\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = -3*c, 4*c = -2*x - 4 - 28. List the prime factors of (-38)\/x - 2\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*g - 160*g + 0*t + 2*t = 5, -2*g + 5*t = 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -144, -278, -412?\n\"Answer: -134*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/8 - 17759*n**2 - 5045971221*n\/8 + 5046255369\/4.\nAnswer: -(n - 2)*(n + 71037)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpppdqttqttqq. Give prob of picking 1 r, 1 q, and 1 t.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 10*n - 801 + 801. Let h(w) = -w. What is 65*h(i) + 6*y(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10199951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Is 3455 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + -6 - 3) + 4 - (-6 - (-13 + 10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13.21 in -143, -5, 1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-8253)\/(-5) + 6\/15. Suppose -3*a + 2517 = 3*z, -2*z + 3*a + b = -a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/4)\/(m*m**(-2)\/m))**(-2\/113)\/((m\/(((m**(2\/5)*m)\/m)\/m))**(-2\/87))**(-1\/4) assuming m is positive.\nAnswer: m**(-5689\/98310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2095.9 - 2095.900017929. Round a to 7 decimal places.\nAnswer: -0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-132)\/21 - (-8)\/28. Let v be (m\/(-9))\/((-4)\/(-18)). Suppose 0 = v*i + 4 - 25. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 12, 0*s - 3*s - 221 = -5*f. Let h = 50 - f. Let y(g) = 2*g**2. Let d(r) = -2*r**2. What is h*d(x) + 3*y(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m**4 + 6*m**3 + 31*m + 4. Let c(v) = 10*v**4 - 5*v**3 - 32*v - 3. Let g(t) = -4*c(t) - 3*d(t). What is the second derivative of g(u) wrt u?\nAnswer: -156*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 3:51 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -389113, -1556418, -3501929, -6225646, -9727569, -14007698?\n\"Answer: -389103*q**2 + 4*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -208910952*t**2 + 405411776*t wrt t.\nAnswer: -417821904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/7, -1, -0.1, -8 in increasing order.\nAnswer: -8, -5, -1, -1\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 - 75. Suppose -5*c + 40 = 4*n, 31 = 4*c - 0*n + d*n. Suppose 5*f + c*f + 0*f = 0. Solve -g - 4*g - 15 = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 88 = -s. Let x be (-8)\/s + (-35)\/(-11). Let i(j) = j**2 - 2*j + 1. Let u(k) = k - 1. Let v be (-29)\/87 - 12\/(-9). What is v*i(g) + x*u(g)?\nAnswer: g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 take away -0.02?\nAnswer: -230.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 70*n**3 - 3*n**2 + 3*n - 3. Let p(a) = -11899*a**3 + 511*a**2 - 511*a + 511. Give 1022*h(b) + 6*p(b).\nAnswer: 146*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1471270165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 12*p**2 - 3*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 3*s**2 + 11*s - 5. Let a be f(5). Suppose 5*n + p = 4, p + p = 8. Find the first derivative of c**2 + n*c - 3 + a*c + 0*c**2 wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -15. Suppose -1357 = -j*m - m. Suppose 4*o + 5*w - 3906 = -m, 3*w + 1247 = 2*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6 - (-31085530)\/3. Suppose -5*h + i = 711844. What is h rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/179589 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjrr. What is prob of sequence jr?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*m - 23*m - 4422. Let x be 1\/(-2) - (m\/(-108) + 3). Which is the second smallest value? (a) x (b) 1 (c) -0.251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16154.\nAnswer: 2, 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 41, 38 in decreasing order.\nAnswer: 41, 38, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31179 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -2*q. Suppose -1419*c = -1415*c + 1620. Let d = c - -409. Solve 5*b + 2*r + q + d = 0, 2*r = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202 divided by 2\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 2 + (-21 - (-47 - -22))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -564 - -568. Let d(f) be the second derivative of 0*f**g + 0 + 0*f**2 + 3*f - 1\/20*f**5 + 1\/3*f**3. What is the second derivative of d(h) wrt h?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (98\/10 - -1)*-5. Let v be (15008\/(-12))\/7*(-3)\/2. Suppose -2*l - 113 = 5*s, 39*s = -5*l + 41*s - v. Is l not equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 5181.\nAnswer: 5\/5181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 150*k\/7 - 292\/7.\nAnswer: -2*(k + 2)*(k + 73)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-12)\/(-2 - -86)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**9\/2520 + b**8\/3360 - b**7\/1008 - b**6\/720 + b**4\/3 + b. Let y(x) be the third derivative of k(x). Solve y(p) = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-52 + 50 + (-1 + 0 - -6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.05*19.\nAnswer: -19.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 4:17 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**8\/14 - 4*t**7\/21 + 5*t**4\/6 - 7*t**3\/6 - 17*t + 9. What is the third derivative of y(j) wrt j?\nAnswer: 480*j**3 - 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*q - 16 = -281 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-4))\/(12\/32) - 3542\/(-161).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - -0.85. Let l = -0.4 + 0.3. Let a = l + 0. Sort a, 2, w in descending order.\nAnswer: 2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.092 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-14\/11)*g*g*((g\/(g*g\/(g*g*g*g*g\/((g\/(g\/(g**15\/g)))\/g))))\/g)\/g)**(4\/29) assuming g is positive.\nAnswer: g**(-408\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)\/d**19 assuming d is positive.\nAnswer: d**(-59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -374 (base 11) to base 5\nAnswer: -3234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d + 481 = -53 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-8)*41*8. What is the greatest common factor of 205 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018900 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 24. Suppose -5*b - 5*c + 174 = -b, -i*b = 2*c - 226. Calculate the remainder when b is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3070 + 6137 - 17608*j - 3067 in the form b*j + t and give b.\nAnswer: -17608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d = -29*d + 71397 + 72963. What is the thousands digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -119, -300, -545, -848, -1203, -1604?\nAnswer: -2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5323 + 2210?\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 51*m**2 - 8*m**2 + 33*m**2 - 99*m**2.\nAnswer: -125*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 + 277*n**3 - 6258*n**2.\nAnswer: n**2*(n - 21)*(n + 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 8*y**2 - 11*y - 22. Calculate w(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 195954 and 0.2.\nAnswer: 39190.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 889210 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.196 - 13.726. Let c = -13 - j. Round c to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at least as big as 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h - 7. Let u be p(-8). What is the least common multiple of -1*u\/1*-8 and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 13 = 12. Suppose -4*g = -w - 11. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**4\/12 + 5*k**3\/6 - k**2. Let p(r) be the third derivative of -r**4\/4 - 7*r**3\/3 - 19*r**2. Calculate 11*n(l) + 4*p(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuwumwbmwuwmmkbkbmud. Give prob of sequence dum.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2\/13, 0.0293, 4, -0.3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 59*m**3 + 8*m**2 - 10*m. Let z(o) = -o**3 + o**2 - o. What is -2*s(j) + 18*z(j)?\nAnswer: -136*j**3 + 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -3*z - 3\/2*z**2 - 4. Calculate u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227112961?\nAnswer: 3823, 59407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -6*c - 1. Let q(k) = 23*k + 3. What is -9*l(i) - 2*q(i)?\nAnswer: 8*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 69 = -2*b, -2*b - 3*b + 150 = 3*x. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + ((-2 - -2 - -75) + -9 - (2 - 13)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 4*i + 2*o, i = -4*i - 3*o + 16 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 p when four letters picked without replacement from cmcpppmmppvppppcpppp.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -5*y**4\/4 - 155*y**3 - 10575*y**2\/2 + 11045*y - 375. What is t in q(t) = 0?\nAnswer: -47, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541262.\nAnswer: 2, 270631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - q - 1. Let m(l) = -4*l**2 + 9*l + 9. Let b(z) = m(z) + 5*y(z). Solve b(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108\/209 + -6869\/1672. Let x(z) = 2*z - 2. Let w be x(-2). Are c and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-12))\/((-3)\/36). Sort 0, -165, f, -5 in ascending order.\nAnswer: -165, -5, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38409 divided by -177?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -270 divided by 15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.845058 centuries to decades.\nAnswer: 48.45058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 9*y - 7 = s, -6 = -2*s + y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - t - 8 = 0, -3*s + 5*t + 0*t + 32 = 0. What is the highest common factor of 56 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**5\/60 + k**4\/24 - 9*k**3 - 24*k**2. Let p be r(6). Let c be 5 - p*(-2)\/3. Which is smaller: c or 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 253 + -135. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/(6\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + g**2 + g + 1. Let f be m(-2). Let c = 18 + f. Suppose 3*o + c*i = -0*o + 114, -i = -3. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.426 + -1119723.054.\nAnswer: -1119723.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2 + 100*f - 99 = 0. Calculate f.\nAnswer: 1, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 89, 203, 423, 785?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 12*k**2 - 18*k - 4. Let v be r(-14). Let b = 835 + v. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 42*f**2 - 4*f + 2. Let d be t(3). Let n = -131 + d. Suppose p - 56 = 4*x - 2*x, -2*p - x = -92. Calculate the remainder when n is divided by p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 2. Let d = 0.11 + 0.89. Let l = d - 1. Which is the nearest to j? (a) l (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6594 and 65751.\nAnswer: 65751.6594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.5 and -0.4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18.16 * -3.\nAnswer: -54.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -3*o**6\/20 + 13*o**5\/60 + 23*o**2. Find the third derivative of m(l) wrt l.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*f + 12 = 96*f - 54 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-343561)\/39672 - (-22)\/(-99). Let a = u - -4\/551. Find the common denominator of 249*(95\/(-30) + 3) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.016 (b) 481.405 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 + 61 + 22*f)*(8 + 14 + 11) + (3 + 2*f - 3)*(4 - 1 - 2) to g*f + h and give g.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(171)\/(sqrt(99)\/(sqrt(11)*-1)) + -3 + 5*((sqrt(133)*-3)\/sqrt(7) + 0)*-1.\nAnswer: -3 + 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33748650 by -6749730.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -12*u + 510. Calculate the lowest common multiple of 12 and u.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqzfffgqfzoozffofogf. What is prob of sequence fz?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -340.0000852 - -340. What is l rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.99 + 5. Let n = i + -0.11. Let o = -0.277 + -0.023. Which is the nearest to -2? (a) 5 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 73, 133, 231, 379, 589, 873?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-5))*g**2)\/(g**(-1\/6)\/(g**1*g))*(g\/((g\/(g*g**(-1)))\/g))**(-3\/5)\/((g**(4\/5)\/g*g)\/(g*g**(1\/5))) assuming g is positive.\nAnswer: g**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1377089 + 1377089 + 29*y**2.\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-12)*(-4)\/3)\/(3190\/435)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122032033 (base 4) to base 15.\nAnswer: 21c57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 768573648 a multiple of 3599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (128\/108)\/16 - (-7)\/((-3780)\/256)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1641721888 divided by -12926944?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 42 = -5*x. Let r = 1 - -11. Calculate the common denominator of -47\/20 and (-215)\/x - (-3)\/r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 2*o = -25, 130*x - 4*o = 131*x - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1012303022 (base 4) to base 11\nAnswer: 188971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 - -4) - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -217d58 + -3?\nAnswer: -217d5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 - 0.7. Let p = 96.02 - 101. Let g = 0.02 - p. Sort 1\/4, k, g in descending order.\nAnswer: g, 1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - t + 25. Is p(18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + -2)*(2 - 3). Suppose -b = 2*f - 3*f. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/(-28))\/(-73*(-72)\/798912).\nAnswer: -76\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 1088.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -d + 20. Let r(g) = g**3 + 11*g**2 + 10*g + 2. Let i be r(d). Solve -3*y + y + i = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 less than 451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-195 + 4*i + 7*i + 187)*(-3*i**3 + 3*i**3 + i**3).\nAnswer: 11*i**4 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -207001, -414003, -621005, -828007, -1035009?\nAnswer: -1242011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/19)*k\/(k\/(k*k\/((k\/(k**(2\/7)*k)*k)\/k))*k*k)*k*k)**50*(k*k**(1\/9))\/k*(k**(2\/9)\/k)\/k*k*k**(-2\/19)*k*k\/k**(-1\/8) assuming k is positive.\nAnswer: k**(352319\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*c*l*t**2 + 5*c*t**3 - 5*c*t**2 + 31*l*t**4 + 3*l*t**3 wrt t?\nAnswer: 30*c + 744*l*t + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319140744.\nAnswer: 2, 3, 13, 443, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/62 and 89\/162.\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000385 to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11133206 divided by 3262\nAnswer: -3413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 358704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1655 by 331.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - q + 0*q = 0. Suppose q = 37*w - 42*w. Is 2\/7 smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12142 + 12139. Which is the closest to -1\/2? (a) 1\/4 (b) f (c) 0.3 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 165 = -2*l, 179 + 131 = -4*l - 2*k. Let r = 44 + l. Suppose -4*s = 84 + 64. Which is bigger: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + 0.15. Let t = -2.4 + 3.1. Let m = 0.75 - t. Put 3, m, v in descending order.\nAnswer: 3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/3 + 9*m. Let l be t(-1). What is the nearest to 0.1 in l, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 123*c**2 - 62*c - 64. What is l(-61)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*a + 202 = 0, 3*m - 212 + 80 = 3*a. Suppose -2*c + 126 = -5*t + c, -2*t = 3*c + m. Let s = -8 - t. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7081977 to the nearest integer?\nAnswer: 2661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4907025 and 785124.\nAnswer: 19628100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8787.\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 94275 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*b - 28. Does 3 divide (-254)\/(-9) + b\/(-63)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(14)\/sqrt(200).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14973 * 211\nAnswer: 3159303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*26\/(-6)*21\/168. Let p = l - 17\/6. Which is the closest to p? (a) 4 (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 18 + 36. Let p = 29 + i. Suppose 18019 - 18028 = -z. Calculate the smallest common multiple of p and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of w**4\/8 - 4*w**3\/3 + 4*w**2. Determine l(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yywyyyyddwyyoy. What is prob of picking 1 y, 2 d, and 1 w?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1236.75 + -1071. Round o to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295040 is divided by 42062?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7}. Give prob of picking 2 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8017 + -8039. What is the second smallest value in -3, z, 2\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9425 divided by 13\nAnswer: 725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b3 - -3?\nAnswer: -1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/8)*x**21*x\/(x*x**(-1\/15))*x*x**6 assuming x is positive.\nAnswer: x**(3323\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3541, 5818, 8095, 10372?\n\"Answer: 2277*t + 1264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017586499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c + 4. Let w(t) be the first derivative of 3*t**2 + 5*t - 6. Let g(l) = 5*u(l) - 4*w(l). Let j(q) = -9*q**2. Give g(j(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 13*h**2 + 4*h + 25. Let k(v) = -19 + 91*v**2 + 11 - 34*v**2 - v - 24*v**2 - 37*v**2. Give 2*b(a) + 7*k(a).\nAnswer: -2*a**2 + a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -543.78 * -49.\nAnswer: 26645.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 142977.8637 rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170)\/(sqrt(10) - sqrt(40)*-1) - (sqrt(34)\/sqrt(2) + 5 + 2)))**2.\nAnswer: 448*sqrt(17)\/3 + 8144\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/10 and -25\/23849382.\nAnswer: 119246910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -27, -8256 in decreasing order.\nAnswer: 1, -27, -8256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**(3\/5) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-9))\/2*(-30)\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-5) + (-4455)\/198.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1)\/((-6)\/18). Let z(t) = -t**2 + 2. Give z(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u - 4*y = -33*u + 13, -2*u - 18 = 4*y for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20714 is divided by 18178?\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 3. Suppose 3*b - 12 = c, -5*b - c = 3*c - 3. What is u(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -88? (a) -23 (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 75 + 109. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161157833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + z + 2*z)*(-59*z - 33*z + 31*z) + (-78 - 46*z + 78)*(-z + 0*z - 3*z) in the form b*z**2 + m + d*z and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = h - 7. Suppose d + 2*m + 30 = 0, -d + 4*d = 5*m - 68. Let y = d + 47. What is the remainder when y is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 4*o + 2. Let g be w(-4). Suppose -2*j + 1158616 = g*j. Let y = -132654 + j. Round y to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 36*k - 8. Let f(r) = -33*r + 7. Let u(z) = -6*c(z) - 7*f(z). Let t(n) = 4*n. Determine u(t(v)).\nAnswer: 60*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 27 + 33. Suppose -u = n - y, 2*n = -u + 20 + 9. Solve -2*p + 3*s = -n, -3*p = 5*s - 0*s + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, r: 1}. Give prob of picking 1 r and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1)\/(2\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. Let g = t - 10. Let u be (-34)\/(-6) - g\/(-9). Solve 0*k = u*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j - 3*j + 103 + 0*j - 95 + 5*j. Let v(l) = l + 9. Let d be v(0). Give n(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 1:53 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -211648?\nAnswer: 5\/211648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j + 2*j**2)*((0*j + 0*j - 4*j)*(j + 4*j - 3*j) + 0*j**2 + 3*j**2 - 5*j**2).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 247?\nAnswer: -98.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 7361*w**2 + 16. Let o be (-42)\/3*(-18)\/21. Let n be g(o). Round n to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 0 + 0 - 1. Let c be q(-3). Find the second derivative of 2 - c - 5*y + 3*y**3 + 4*y wrt y.\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9168203*b**2 - 4523*b + 282 wrt b.\nAnswer: 18336406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4356 and 594?\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/2 - (-2)\/2. What is the derivative of -2*k**3 + q*k**3 + 2*k**2 - 2*k**2 + 1 wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -135, -1086, -3667, -8694, -16983, -29350, -46611, -69582?\n\"Answer: -136*p**3 + p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*z + 5*k**4 + 8*k**3*z - 224*k**3 - 2*k**2*z + 42661*k**2 wrt k.\nAnswer: 24*k*z + 120*k + 48*z - 1344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 8*i**2 - 25*i + 34. Let a be n(4). Calculate the greatest common factor of a and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -20*u - 25. Solve 15 = u*z - 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315968314?\nAnswer: 2, 3169, 49853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 14*p**2 - 7*p + 10. Calculate g(8).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1.1, 3, 0.3 in decreasing order.\nAnswer: 3, 0.3, 0.1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9*((-20)\/(-45))\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 256967549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 29*t**2 - 1896*t - 127. Determine a(60).\nAnswer: -2287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16761808 - 0.3791\nAnswer: 16761807.6209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r = -22*r + 4*n + 147, 0 = -3*r - 5*n + 93. Solve 45*k = r*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1813308 milligrams to kilograms.\nAnswer: 0.0000001813308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391*g - 48 = 5*i - 393*g, -3*g = 2*i + 23 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133813 is divided by 344?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*t = -18, 5*t = -d - 10 + 31. Suppose r = -5*n + 18, 3*n - 4 = -3*r - r. Calculate the least common multiple of d - 30\/(-12)*2 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1471*u + 1424*u - 564 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j. Let s(g) = -7*g**2 - 29. What is s(u(h))?\nAnswer: -343*h**2 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/9 (b) 16\/13 (c) 0.197 (d) -0.4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3a + 574?\nAnswer: 53a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 442*t + 350*t - 1021*t - 3*t**2 + 745*t + (-3*t + 3*t - t)*(1 + 2*t - 1) - t**2 + 4*t**2 - 2*t**2.\nAnswer: -4*t**2 + 516*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -12158?\nAnswer: 12161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.7 * 1.\nAnswer: 25.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -65, 61, 5414 in decreasing order.\nAnswer: 5414, 61, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 34*g**2 + 8*g + 319. Let n be c(-34). Solve 13*x = -34*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4903, -4904, -4909, -4918?\n\"Answer: -2*b**2 + 5*b - 4906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.4 - -3.40000036. Round w to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43138773 and 1098.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -851890 to the nearest 1000.\nAnswer: -852000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 62*(-8)\/78*540\/(-30). Which is greater: 115 or s?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(166 - 4*r - 23*r - 162).\nAnswer: 54*r - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217*o - 17*o = -7488. Solve -19 = -17*v + o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*h - 50 = 0. Let t be (-4)\/h + (-1146)\/(-15). Suppose 5*q - t = q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/(v\/v**(1\/24))*v)\/(v*v**17\/v*v) assuming v is positive.\nAnswer: v**(-359\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 - 239. Let x(i) = 0*i + 3 + 0*i + 9*i - 7*i + i**2. Give x(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x**2. Let w(j) be the first derivative of -9*j**2\/2 - 7*j - 19. Let t(a) = -8*a - 6. Let z(o) = 7*t(o) - 6*w(o). Calculate z(i(f)).\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 10:44 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*t**4 + 6*t**3 + 7*t + 14?\nAnswer: 516*t**2 + 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1 - 20*q - 1 + 0. Let y(v) = 2*v**2. Give y(n(a)).\nAnswer: 800*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98 + 9 - 33 - 3427*f**2 + 3427*f**2 + 615*f**4 wrt f.\nAnswer: 2460*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t**3 + 11*t**2 + 558*t wrt t?\nAnswer: -24*t + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*f - 33. Suppose -5*q + f = -45. Suppose q*z - 11*z - 96 = 0. Solve -1 = -d, -d - z = 5*b - 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 5*g**5 + 0*g**5 - 3*g**5 - 2*g**2 + 27*g + 6*g**5 wrt g.\nAnswer: -40*g**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -5116.\nAnswer: -5\/2558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -4 (c) -3 (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 741*i + 44 = 752*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.14*-17.\nAnswer: 19.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 237 + 12*y**3 - 237 + (-2*y**2 + 2*y**2 + 4*y**2)*(-2*y + 7*y - 2*y).\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-42)\/(-93)) + (-84)\/196. Solve y*a + 12 = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -347, -591, -835, -1079, -1323, -1567?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a - 47. Suppose 0 = -25*l + 22*l + 30. Suppose -4*t + 2 = q + l, 0 = 4*t - 12. What are the prime factors of u(q)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2*4 - ((-27945)\/15 - -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 4*v**2 - 4. Suppose 4*y + 5 - 13 = 0. Let b(c) = 3*c**2 - 513 + 271 + 239. What is y*x(z) - 3*b(z)?\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -112. Let u = -23 - l. What is the third smallest value in u, -7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 9*n - 150. Let v be d(17). Determine x, given that v - 15\/4*x + 3\/4*x**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Let j = -0.5 - -0.3. Let i = j - -0.7. What is the third smallest value in i, q, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -k + 3*q, 0 = -0*k - k + q + 2. Let p be k - (-54)\/(-6) - -6. Solve 3*d + 4*a - p = a, 5*d - 2*a = 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - 0.01. Let u = -51.09 - -48.2. Let j = u + s. Which is the third biggest value? (a) -0.5 (b) j (c) -1 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/10)\/((-10)\/100)*26. Let q be w\/(-7)*((-8)\/(-16) + -4). Suppose x - 58 = -2*k + 3*x, 0 = x + 3. Is k < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -5*z, -u + 5*u = 4*z + 32. Let d = 45 + -44. Let x(c) = 1. Let f(m) = m**3 - m**2 - m - 3. Let l(h) = d*f(h) + u*x(h). Factor l(v).\nAnswer: (v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 132, 61, 2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1003511 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6504 is divided by 186.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.00874 days in nanoseconds?\nAnswer: 3715955136000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 112 and 4461856?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 5*j + 6. Calculate q(6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 10:39 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 288916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - 2)\/(-2 - -1). Let a(j) = -6*j - 4 - 6 + 2 - 2*j - j**2. Let h be a(w). Solve 0 = -4*s + 3*f - h*f + 25, 3*s = -5*f + 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -8*o - i + 455, -25 = -5*i. Suppose 7*v - 10*v = -o. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.59 - -1.41. Let m = g - 25.4. Put -8, 1, m in decreasing order.\nAnswer: 1, m, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(1\/3)\/(u**0*u\/(u*u**6))*(u\/(u*(u*u\/((u*u**2*u)\/u))\/u))**(-8)*(u\/(((u*u*u*u**(1\/3)\/u*u)\/u)\/u))\/(u**6*u) assuming u is positive.\nAnswer: u**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*s - 3*b + 9, -4*s - 39 = 5*b. Let p = -1 - s. Find the third derivative of -6*v**2 + 0*v**5 - 5*v**p - v**2 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 96 = 4*y, -2*a = -12*y + 9*y - 68. Suppose -3*v = -i - 7, 9*v - 4*v = -4*i + 57. What is the greatest common divisor of a and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 3. Let n be r(0). Let d = 11 + -75\/7. Let x = 11.9269 - 14.9269. Which is the second biggest value? (a) d (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -2*l + 2*u, -70 = 19*l - 11*l - 11*l - 5*u for l.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awocwwowyoyca. Give prob of sequence ow.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 0)*6\/20?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/20*14)\/(1\/2). Suppose 6613 = -5*h - 3*x, -o*h - 3*x + 1337 = -8*h. Let n = -2597\/2 - h. Calculate the common denominator of 31\/4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.007 + 4.093. Let h = o + -4. Which is smaller: h or 2\/9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - v + 4. Let h(u) = 3*u**2 - 626*u + 9. What is -2*b(n) + h(n)?\nAnswer: n**2 - 624*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.3, -2\/17, 2\/13, -0.8, 19, 8?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**4\/3 - 2*p**3\/3 - 24*p**2. Suppose 3*a - 2*q = 2*q - 7, 0 = -a - 5*q + 23. Calculate i(a).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-30))\/((-4)\/18)*(-6)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v - v - 3*v + (-3*v + 7*v - 2*v)*(1 - 1 + 1) + v + 7*v - 4*v)*(-10*v - 8*v + 5*v + (-3*v - 1 + 1)*(1 - 1 + 6)).\nAnswer: -248*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4856, 9741, 14626, 19511, 24396, 29281?\n\"Answer: 4885*r - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170410 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2555469a - 5?\nAnswer: -255546a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**2 + 2*y - 4. Is f(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7328580 divided by 3.\nAnswer: 2442860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**2 + k + 2*k**2 - 2*k. Suppose 7 = 3*g - 11. Suppose 2*b + 3*v - 7 = 0, b - v - 2 = g*b. What is m(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 287 in 4, 23, -0.3?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -y - b + 3, 4*b + 20 = 0. Let o be (-16)\/y*(-3 + 12). Solve -w = 3*w - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1434.288 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25362 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34375, -68671, -102811, -136717, -170311?\nAnswer: -203515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 a when two letters picked without replacement from {y: 11, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8608207, -8608210, -8608213, -8608216, -8608219, -8608222?\n\"Answer: -3*p - 8608204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (0 - (3 + (-3 - -1))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + -3. Let i = -607 + 625. Let s = y + i. Sort 3, s, -2\/13 in ascending order.\nAnswer: s, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -0.078 (c) -2 (d) -7\/5 (e) 5 (f) 0.096 (g) 0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -10001?\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019141355 to seven decimal places.\nAnswer: -0.0001914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.3992 days to minutes.\nAnswer: 245374.848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 408919807 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*u + 451*u = 246*u - 184 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47*136\/425068)\/(15\/(-21)).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 68*g**4 + 69*g**3 + 160*g**2 - 2379975*g + 8.\nAnswer: 816*g**2 + 414*g + 320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*a - a. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 26*g - 2 - 7 - 4 + 41*g.\nAnswer: 15*g - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155 - -149)\/(-3 + 2 + 12).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 38*o**2 + 13*o - 11. Does 13 divide g(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573364801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(15)\/sqrt(3) + sqrt(5)) - sqrt(3))**2 + 5.\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -9*i + 15. Let b(y) = -17*y + 29. Give -3*b(v) + 5*f(v).\nAnswer: 6*v - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*c**5 + 3*b**2 + 123*b*c**5 + 2*c**2 - 16*c wrt c?\nAnswer: 120*b**2*c**2 + 7380*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-8\/5))**(-12) assuming h is positive.\nAnswer: h**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3249915.36 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -737080 divided by -10\nAnswer: 73708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (21\/(-42))\/((-21)\/(-28)). Sort 1\/2, 4.18, q, -0.3 in ascending order.\nAnswer: q, -0.3, 1\/2, 4.18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168 - -558. Suppose -3*h + 3*n + 297 = 0, -o = -4*h + 3*n - n. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(315\/4)*42\/(-9)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 11:36 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/5 + 11*z**2\/5 - 28*z\/5.\nAnswer: -z*(z - 7)*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -225, -222, -219, -216, -213?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 629 + -634 + (2 - (-2 + 2) - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7346201 to the power of 1\/2, to the nearest integer?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 91 = 21. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704957384 divided by -5260876?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 696 and 71344524.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 1 (c) 5\/2 (d) -0.3 (e) -119 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 0 = 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 19073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 - 14*s - 13. Let f be g(-6). Find the common denominator of -71\/66 and ((-465)\/f*70\/(-4))\/63.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + 21. Let w = s + -17. Which is smaller: 28 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(250))\/(sqrt(242)*-2 + sqrt(242)).\nAnswer: 5*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 11. Let u be i(0). Suppose 4*w = -r - 3*r + 56, 0 = 5*w + 2*r - 79. Let l = w - u. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61, 117, 173, 229, 285?\n\"Answer: 56*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (2 + -22)) + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30395177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 66308 (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/82673370 and 97\/220462320.\nAnswer: 661386960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522 and 2378?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 1496.03.\nAnswer: 1495.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3 = r. Suppose -4*i + k = -45, 0*i - 5*i + r*k = -51. Calculate the least common multiple of i and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 705179723 to the nearest integer?\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*y - 13*y + 15*y)*(-2355*y + 2355*y - 46*y**2).\nAnswer: -920*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 4, h: 8, x: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 747391 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/12 - 1\/(-6). Let f = -55 + 69. Find the common denominator of -53\/32 and 2151\/2016 + k\/f.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 4*k**2 - 2*k - 7. Let s be r(5). Suppose 5*b - s*l = -6*l + 3260, -b + 665 = -3*l. List the prime factors of b.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 0.4, 2\/13, 7, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42693.\nAnswer: 3, 7, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 8*a**2 - a + 97. What is g(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*r - 8 + 18 + 23*r - 10 + 4*r**2 to the form o*r + x + i*r**2 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01032001 to 4 decimal places.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -162 bigger than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = 2*l - v, -2*l - 5*v = -9. Sort -2, l, -7.\nAnswer: -7, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35, 76, 113, 146?\n\"Answer: -2*h**2 + 47*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1694 - -877. Let w be (-2)\/13 + v\/13. Let d = -40 - w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 255443, 510955, 766523, 1022153, 1277851, 1533623, 1789475?\n\"Answer: d**3 + 22*d**2 + 255439*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30106 - 12823. What is the thousands digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 132627 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.18216 - 0.18230249. Round d to 6 decimal places.\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 379.58427 nanoseconds to hours.\nAnswer: 0.000000000105440075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p - 3 + 24*p + 185*p + 94*p + 16*p + 12*p.\nAnswer: 358*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 15) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 2*f - 7. Suppose -4*h + 3 = 3*o, -5*h = 3*o + o - 5. Let u(r) = 39540*r**2 + 39529*r**2 - 79068*r**2 + 6 - 2*r. Determine o*m(a) + 6*u(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*u + 5*r, 2*u - 5 = -3*r + 2. Suppose 1075 = 3*f - 4*o, u*o - 2 = -10. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.315990354 rounded to three decimal places?\nAnswer: 0.316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 265534 and 265534 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -719*b = -754*b - 105. Let k(x) = -21*x**3 + 4*x**2 - 5. Let f(i) = 11*i**3 - 2*i**2 + 3. What is b*k(p) - 5*f(p)?\nAnswer: 8*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1395020 divided by 340?\nAnswer: -4103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 107629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*h - 74 + 377 = -507 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - -105 - (6 - -21)) + -13?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 54628.95 millennia?\nAnswer: 5462895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -278, -640, -1148, -1802, -2602, -3548?\nAnswer: -4640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7 or 1006?\nAnswer: 1006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (900*j - 900*j - 327*j**2)*(0 + 5 + 2) to the form p*j**2 + v + r*j and give p.\nAnswer: -2289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (16 - 6) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001011011001001010 (base 2) in base 14?\nAnswer: -274962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-21)*207*(-5 - -26)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/14806 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301 (base 4) in base 7?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/50)\/(75\/1000)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 299900?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/o**(-7))**(-22)*(o*o**(-2)*o*o**(-3\/7))\/((o*o\/(o\/(o*((o*o*o**(-1)*o*o*o)\/o)\/o)*o*o))\/o**(2\/9)) assuming o is positive.\nAnswer: o**(-3383\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380411771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/11)*j)**(-11\/2) assuming j is positive.\nAnswer: j**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -1 (c) 9171783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*f - 7 - 8, -4*h = 12. Suppose -3*q - 2*q = f. Suppose 4*b - 4*y = q, 2*b = 7*b + y - 12. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from looooxxooloooxolooo. What is prob of picking 1 o and 1 x?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8272*f**2 + 98*f**3 - 8272*f**2.\nAnswer: 98*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-6)*(-8)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**6\/120 + 3*j**5\/20 - 3*j**4\/8 + 5*j**3\/6 - 3*j**2. Let c be (6\/(-12))\/((-15)\/240). Calculate a(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 6*b**2 + 7*b + 6. Let q(f) = -2*f**3 + 13*f**2 - 15*f - 13. Let l(t) = 2*t + 14. Let n be l(11). Suppose n = z - 7*z. Give z*q(p) - 13*a(p).\nAnswer: -p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 1. Let x(k) = 2*k**2 + 6*k + 6. Let u(z) = -2*i(z) - x(z). Factor u(t).\nAnswer: -2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*l**2 - 12*l\/7.\nAnswer: -2*l*(77*l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 13. Let m(t) = -t - 1. Let y(g) = 4*m(g) + p(g). Let c be y(6). Solve 5*v - 17 = c*h, v = -h - 3*v + 17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**8\/560 - a**6\/100 + a**4\/40 + 7*a**2. Factor c(p).\nAnswer: 3*p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - -1) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27804*y + 13890*y + 13900*y.\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49128501*d**2 + 49128431*d**2 - 98256946*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 x when three letters picked without replacement from {w: 2, x: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -0.45. Which is the second biggest value? (a) 0.1 (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, t: 2, a: 3}. What is prob of sequence tatd?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hl when two letters picked without replacement from haaaahaaaaahulhaa?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -740240140063 - 0\nAnswer: -740240140063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-1\/8)\/m)\/m*m)\/(m\/(m\/m**(11\/4)))*(m\/(m*m**(2\/43))*m)\/(((m*(((m*m*m**(-11)*m)\/m)\/m)\/m)\/m)\/m*m) assuming m is positive.\nAnswer: m**(3123\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1775 = 4*s - 1783. Solve -s*v = -2*a - 2, v - 3 = -v + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -53*f + 216. Determine v(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -1218*h + 1. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**3 - 4*c**2 + 4*c**2)*(-60155 - 1486*c**2 + 60155).\nAnswer: 4458*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/7)*k*k**(-6))\/(k**(-2\/5)\/k**(7\/4)))\/((k\/k**(-2))**(-2\/23)*k**2\/((k\/(k\/k**(1\/5)*k)*k)\/k)) assuming k is positive.\nAnswer: k**(-14593\/3220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/32739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-168 - 607 - 519 + 36)*(-5*d + 2*d + 4*d).\nAnswer: -2516*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4505, 9022, 13541, 18062?\n\"Answer: o**2 + 4514*o - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 0 + 0 + (2 + 5 + 1)*(w**2 + 0*w**2 + 0*w**2).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 43 = -8210*t + 8211*t, 4*p = 16*t - 64 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 11) to base 8\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3637*l**2 + 5*l - 15. Let q(j) = -18545064*j**2 + 25494*j - 76482. Calculate 25494*o(p) - 5*q(p).\nAnswer: 3642*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18826800 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 2*r**3\/3 + 2*r**2 + 3*r + 2. Let m be j(-2). Suppose 0 = 10*a - 6*a. Solve i + m = -a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at most 382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.70076 + 4.7. What is k rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3 + 0 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.09 - -1. Let z = 0.19 + m. Let j be 4\/6*((-135)\/295)\/(-9). Put 3\/7, j, z, 4 in decreasing order.\nAnswer: 4, 3\/7, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 24 + w + 31)*(-4 - 1 + 2)*(4 + 2 - 5).\nAnswer: -3*w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -259*x**4\/2 + 25*x + 2048. Differentiate b(m) with respect to m.\nAnswer: -1554*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98*b**2*l**5 - 2*b**2*l**2 + b**2 + 2*b*l**5 + 123*l wrt l.\nAnswer: -5880*b**2*l**2 + 120*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z - 20*z + 7*z.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**3\/5 + 54*j**2\/5 - 36*j = 0.\nAnswer: -30, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15656 take away -646752?\nAnswer: 631096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h - 5 - 4*h**3 + 4*h + 3*h**2 + 2. Let u(c) be the second derivative of -c**5\/4 + c**4\/3 + c**3\/3 - 2*c**2 + 57*c. Give -3*u(f) + 4*z(f).\nAnswer: -f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2\/(8\/26))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 - -925. Let q = k + -1530. Let g = q + 574.9. Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, -0.13, -0.1, -0.007?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = y - 3, f + 290*y - 286*y = -75 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*l + 12 + 6, 0 = l - 3. Let b(j) = 54*j**2 + 1 - p + j. Does 22 divide b(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 31*u - 56. Let r be o(-29). Find the third derivative of -13742*d**5 - 85*d**6 + 13742*d**5 + 144*d**r wrt d.\nAnswer: -10200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.05, 2, -1\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 = 28*c - 48*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 27427899?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 != 15802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -148*c. Let s(u) = 23*u. Let k(o) = -32*s(o) - 5*w(o). Let j(p) = p. What is k(j(g))?\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*x = 27, 0 = -7*x + 4*x + 3. Let q = -26 + b. Let p = -17 + q. Round p to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*p + 10111, 12617 = 9*j - 4*j - p. Is j a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -94, 5, 76, 0, 1 in decreasing order.\nAnswer: 76, 10, 5, 1, 0, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = 5*r - 1855. What is the smallest common multiple of 9 and r?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3*t - 1 + 2*t)*(1 - 2*t - 1) + (-3*t + 0*t + 5*t)*(-6*t + 4*t + t)*(-46 + 19 - 203) in the form o*t**2 + d*t + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110000011011000111 + -11?\nAnswer: -1110000011011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 0)*(-a + 1 - 1) - a - 2*a + 5*a - a - 3*a + 6*a - 9*a + 5*a - 5*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(30)\/sqrt(6) - sqrt(30)\/(sqrt(6) - sqrt(294)))*3*6.\nAnswer: 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*s + 65*s = 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n**2 - 3*n - 5. Let j be i(-2). Suppose 0 = 3*l - 31 + j. Factor 2\/7*f**l + 0 + 2\/7*f.\nAnswer: 2*f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**5 - 66*s**4 - 8228*s**3 + 293476*s**2 + 8226*s - 293410 = 0.\nAnswer: -65, -1, 1, 37, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 + 986 = 39*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9572*o**2 - 11648 wrt o?\nAnswer: -19144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 215124 and 869148.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 180 + 3 + 8\/(-4). Let n = -123 + h. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wloo when four letters picked without replacement from gkokkokklkgwlloogwk?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-21)\/(-12) - ((-16)\/(-32) + 63\/(-268)).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**3 + 25*d**2 + 25*d + 29. Let z be p(26). Suppose 2*x + 2 = 4*a, -4*a + x = -z*x - 4. Solve h + 4 = -a*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2316 - -2319. Solve 3*l + 7 = 2*a, s*a - 7*l + 3*l = 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351, 291, 1151, 2337, 3957, 6119, 8931, 12501?\nAnswer: 16937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33017283694 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 200 + -199. Let m(r) = -2*r - 4. Determine m(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -477, 1, -5, 16?\nAnswer: -477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (48\/(-40))\/(10\/(-325)). Suppose -u*d + 25 = -14*d. Which is the closest to -2\/7? (a) 0 (b) 0.03 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179249 and 3405731.\nAnswer: 3405731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 - 554 = 6*q. Let v = -126 - q. Which is bigger: v or -3\/55?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 9. Let c be t(7). Let h be (-1)\/c + 1\/(-2). Let u(a) = -a**2 - 5*a + 3. Let f be u(-5). Solve -f*b - b - 20 = h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14660, -12562, -6874, 4198, 22448, 49670, 87658?\n\"Answer: 299*h**3 + h**2 + 2*h - 14962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 take away -0.04546006?\nAnswer: -5.95453994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 702434.9 nanograms?\nAnswer: 0.0007024349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 203 - 13?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(4)*-2)\/(sqrt(5) + sqrt(20)*-5) + 2 + (3*-1*sqrt(243) + 1)**2.\nAnswer: -484*sqrt(3)\/9 + 2190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.35, -1, 0.4, -2 in descending order.\nAnswer: 0.4, 1\/5, -0.35, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 182141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:17 PM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -5*m**4\/12 + 65*m**3\/6 - 55*m**2 + 16*m + 12. Let a(h) = 0. Calculate h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 321.13 - 324.13. What is the nearest to -2\/7 in -2, 117\/5, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 9 = -33. Let x = 57 + z. Let m = -2 - -4. Solve -m*c - 3*c + x = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*w + 13 + 0*w + 25*w**2 - 34*w**2 wrt w?\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2250 and 3150?\nAnswer: 15750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2504*g*k**4 + 2*g*k**2 - 2*g + 91*k**2 - 621513 wrt k.\nAnswer: -10016*g*k**3 + 4*g*k + 182*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -8) + -4 + 7 + 1 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*k**2 - 72 + 120 - 116*k**2 + 3*k + 16*k**3.\nAnswer: 16*k**3 + 3*k + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 484*p - 479*p - 720*p**2 - 82*p**2 in the form z*p + n + f*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1307 = -2*d - 5*i + 1305, 0 = 2*d + 43*i + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. What is the nearest to a in -2\/9, -2\/15, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 1\/5, 4.73, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 3*t**4\/4 - 11*t. Let j(c) = -2*c - 4*c + 3*c. Give o(j(d)).\nAnswer: 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -391 - 4?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.4 - -4.4. Suppose -a = 3*k - 17, 5*k - 2 = 5*a - 7. Let l = 0.3 + 1.7. What is the nearest to x in k, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*m = -104, 0*l = l - m + 20. Let d = 31 + l. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 0, -5389 in decreasing order.\nAnswer: 5, 0, -4, -5389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 5*x**4 - x**4)*(-370 + 370 + 1338*x - 314*x).\nAnswer: 2048*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1425 + -1424.8. What is the third smallest value in 3, 7, 0, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28 and 0.1413161.\nAnswer: -0.1386839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30 + 30.00076. Round c to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 9 + 0)*(1 + 2*i - 1) + 7*i - 4*i - i)*(-6*i**3 + 3*i**3 + 0*i**3)*(-1 - 6 - 1) to w*i**4 + s*i**2 + t + h*i + l*i**3 and give w.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwhdewtd. What is prob of sequence hntd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 8*q - 16. Calculate the remainder when 84 is divided by (-6)\/(-16) + 282\/q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + (32\/14)\/2. Is c not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 34*w**2 - 91*w + 153. Determine y(-31).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 11*b**2 - 5*b + 10. Let p be s(-10). Let j = 79 + p. Calculate the remainder when j is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.54516 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (11 - 2)*16 + -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268353.\nAnswer: 19, 277, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 0*j = -58*u + 1968, j = -2*u + 35 + 31 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (294\/98)\/((-1)\/(-6)*2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-194)\/485)\/(3 + 66\/(-15))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 + 2*s - 5. Let y(d) be the first derivative of -d**3 + d**2\/2 - 6*d + 11. Let t(h) = -4*n(h) + 5*y(h). Is 3 a factor of t(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3597 + 9540. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1\/4))**(-47)*f**(-3)*f**2 assuming f is positive.\nAnswer: f**(-145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007120527179 rounded to five decimal places?\nAnswer: 0.00712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 19*z**2 + 2*z. Let k(g) = -103*g + 0*g**2 + 211*g - 2*g**2 - 108*g. Determine k(m(p)).\nAnswer: -722*p**4 - 152*p**3 - 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.5 - 0.5. Let n = 7 - m. Let y be (4\/(-70))\/(1\/(-5)). Which is the nearest to y? (a) n (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -105\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7340*g + 270. Let x be a(-12). What is x rounded to the nearest 1000?\nAnswer: -88000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 12 + 13)*(-156*d - 249*d + 14 - 3 - 11).\nAnswer: -13365*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 21 = -3*h, -3*h = 3*r + 2*r + 29. Let y be ((-4)\/6)\/((-2)\/h). Is 27 at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhyhhyyhhhhyhyhhhh. Give prob of picking 1 y and 2 h.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/((-4)\/(-48)). Let n be (v - -2) + 10\/(-5). Sort n, -2, -3 in descending order.\nAnswer: n, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/((-378)\/9072).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02 times 0.1196?\nAnswer: 0.121992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*r**2 - 1284*r + 23868.\nAnswer: 4*(r - 51)*(4*r - 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/60 - h**4\/2 - h**3 + 28*h**2. Calculate f(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -94 + 75*n + 10 + 4 - 20 wrt n.\nAnswer: 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 10:18 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*w - 35 = 0, -2*o - 5*w = 6 - 36. Suppose i + 152 = o*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 66?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) 301 (b) -1 (c) -1\/5 (d) -0.93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 7 - 3)*(9*m**2 - 9*m**2 + 2*m - 5*m**3)*(62 + 115 + 208).\nAnswer: -11550*m**3 + 4620*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -543.9 + 569. Let p = -25.1000066 + t. Round p to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 20. Let g be (2 - -2) + -2 - (-11 + 17). Which is the smallest value? (a) -1\/5 (b) 3\/5 (c) n (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*w + 350 = 6*o, 2*w = -o + 86. Let g = -16 + o. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -11814807.\nAnswer: 5\/11814807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24208, 32003, 39798?\n\"Answer: 7795*n + 16413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 5 = -2*n. What is the least common multiple of 1 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 30*m + 4. Let t(j) = 180*j + 25. Determine -4*t(q) + 25*z(q).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = r + 2050, 0*r - 2060 = -u + 3*r. List the prime factors of u.\nAnswer: 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -9*q. Suppose q = l - 0*l - 5. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s. Let w(o) = 1422*o**2. Give p(w(m)).\nAnswer: 5688*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 12:34 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 64, 139, 242, 373, 532?\nAnswer: 719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 30 + 12 + 160*j - 428*j + 5 to the form t + r*j and give r.\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w - 4*t + t - 28, -1772667 = 4*w + 4*t - 1772631 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -5*m, -5*w - 3*m = 19. Let v(a) = -9*a**2 - 6. Let t(x) = 8*x**2 + 5. Let s(b) = w*t(b) - 4*v(b). Suppose 5 = -2*o + 3. Determine s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 49, -4\/7, -15, 0.9?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2 and 4\/(-178)*(7 + 8*56\/128)?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -7, 5, 33, 83, 161, 273, 425?\nAnswer: 623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -5 + 6)*30 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-301)\/7525)\/(-2*(-3)\/120)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, h: 4, k: 4}. Give prob of sequence hhkh.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368852?\nAnswer: 2, 11, 83, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40101?\nAnswer: 3, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.10157 grams in milligrams?\nAnswer: 58101.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2771.5 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.09+0.015\nAnswer: 1.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 5. Suppose 4*i - 10 = -i. Suppose -i*s = -s - 2. What is the lowest common multiple of s and j(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/(3\/27). Suppose 14 = 4*c + 2*i, -r*i = -3*c + 2 + 13. Let b = c - 2. Sort -2, 4, b in descending order.\nAnswer: 4, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39342, 39375, 39456, 39609, 39858, 40227, 40740?\nAnswer: 41421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 13b1?\nAnswer: 13b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:01 PM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 + 169*d + 382. What is the tens digit of l(-74)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1237\/2919 + 2\/417. Let h = -200.2 + 200. Which is the second smallest value? (a) h (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 5*t = 2*z - 3216, -2*z = 4*t - 6442. Let w = t + -941. 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 v = 6.4 - 1.8. Let h = v + -4.2. Let i be 2\/8 + 7\/(-4). Sort i, 4, h in descending order.\nAnswer: 4, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3*a - 8*a + 11174, 4*w + a + 14891 = 0. Round w to the nearest 100.\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (395160\/36)\/37 + (-3)\/(-9). Calculate the highest common divisor of p and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -49152 to the nearest one hundred.\nAnswer: -49200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/486 and -107\/1372.\nAnswer: 333396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 z when four letters picked without replacement from {m: 2, e: 1, z: 6, j: 2, o: 5}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 27. Suppose -469*t = -431*t - 2926. Calculate the remainder when t is divided by d(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 2*w + 34, -2*o + 19 = -w. Suppose b = g + 1, o + 3 = 4*g. Let h be 13 + (-18)\/(0 - -6). Calculate the greatest common divisor of h and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 + -68. Suppose -8*y + k*y + 6 = 0. Suppose -y = -3*n + 31. Calculate the highest common factor of n and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/(((-6)\/22)\/((-2274)\/(-12507)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 13*t**2 - 10*t + 53. Let k be v(-14). Let o be (15 + -6)*(-2)\/k. Solve -3*w + o = 3*x, -24 = -4*w + 2*x + 2*x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/9 (b) 14 (c) 2.8 (d) -7\/8 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a3 (base 13) in base 4?\nAnswer: -10232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1831 = -2*h + 1567. Let v be (-31)\/(-6) + (-15)\/90. Suppose h = v*f - 1756. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-6149)\/104) + 3 + (-28)\/12?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {p: 1, m: 4, r: 4, j: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 + 17 = 0. Calculate the remainder when k is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/41)\/(m*m\/(m\/m**(2\/19)*m)))\/(m**(-4\/15)*m\/m**(-2\/7)) assuming m is positive.\nAnswer: m**(-89968\/81795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -1218 - 8246. What are the prime factors of c + -6 + 28\/2?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*f*j**2*s**2 - 2*f*j**2*s + f*j - 3*f*s**2 + 2*f*s wrt j.\nAnswer: 100*f*s**2 - 4*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 55*h**2 + 249*h - 4. Let r be k(-6). Solve -8*t + 690 = r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004967728 to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 22571147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130220132 + 10?\nAnswer: 1130220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 44. Let s = 15 - v. What is the closest to -0.1 in -2\/11, 3\/2, s?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 1\/2*o**3 + 0 + 0*o**2 + 7*o. Let c(s) = s. What is l(c(k))?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 6 (b) 0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(2805\/297)\/85*18\/112.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-128)\/80*36*((-30)\/(-12))\/(24\/(-16)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 39, 60, 85, 114?\n\"Answer: 2*c**2 + 11*c + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2299*i + 4. Is h(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -38. Let g be (-2)\/3 + (-11)\/r. Let h = 1.1 - 1.3. Put g, h, -3 in ascending order.\nAnswer: -3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 10, -4*h + 2*z + 2 = -4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.0155 (c) -5 (d) 0.099 (e) 1\/4 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/(4\/10). What is the nearest to -0.1 in -0.1, w, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -0.2 (b) 0.3 (c) 3\/2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 - 19) + 1*2. Let m = -14 - h. Let s be (-9)\/((-36)\/296) - (-7 - -4). Calculate the greatest common divisor of m and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -13. Solve x*l + 20 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -59*m - 12. Let c be n(22). What is the hundreds digit of c\/(-7) + 12\/(-84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u + 4. Let r(t) = -1. What is b(x) + 6*r(x)?\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1015*n = -1055*n. Solve -1 = -r, -5*b - 3*r + n = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*2*sqrt(700).\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -9*q + 14 + 5. Solve -4*s + q*y + 10 = 0, 5*y - 45 = 3*s - 42 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15305 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/11))\/(p**11\/p))\/((p\/p**(3\/4))\/p*p)**(2\/51))**36 assuming p is positive.\nAnswer: p**(-59430\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 1692*v**2 + 0*v + 2*v.\nAnswer: -1692*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-3) + 1)\/(10\/120). Let k(l) = l**2 + 5*l - 22. Let y be k(q). What is the first derivative of 122*b**y - 122*b**2 - 7*b**4 - 14 - 11 wrt b?\nAnswer: -28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 4. Suppose 0 = -0*t + t + 5*y + 17, 0 = -2*t - 3*y - 13. Let h be d(t). Suppose 4*b - 465 - 27 = h. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 1 + 6*h - 9 + 11 to the form d*h + j and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (1 + 20 + -10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -k**4 + 4*k**3\/3 + 12*k**2 - 77. Factor o(q).\nAnswer: -4*q*(q - 3)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636119 divided by 5?\nAnswer: 636119\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/12 - 5\/(-30). Put 1, m, -2, 4 in descending order.\nAnswer: 4, 1, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(-6)*(z*z**(-1\/3)\/z*z*z)**18 assuming z is positive.\nAnswer: z**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o + 1\/6*o**3 + 0*o**4 - 7*o**2 + 0 + 1\/15*o**5. Let t be b(-1). Solve -5*z - 5*x = 25, 3*z + t*x = -3 - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4575731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of 1\/4*t**4 + 5\/6*t**3 + 0*t**2 - 1\/20*t**5 - 6*t + 0. What are the prime factors of y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*l - 3*k, 7*l + 4 = 3*l + 4*k. Let g(q) = 1 - 5*q + 4*q + 2 - 3*q. Calculate the remainder when 55 is divided by g(l).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 6095 - 6090 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) -38\/7 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**3 - 13*h**2 + 21*h - 9. Let p(b) = -b**3 + 6*b**2 - 11*b + 5. Let z = 6 + -9. Let g(r) = z*c(r) - 5*p(r). What is the units digit of g(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 3)*(9 - 2*u - 9) + 4*u + 3*u - 2*u to l + k*u and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 12:52 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3321507 to the nearest integer?\nAnswer: 1823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*j - 5 = -2, -5*f - 4*j - 5 = 0. What is the second biggest value in 0.2, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enennsennne. What is prob of picking 2 e, 1 s, and 1 n?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2*f = 2. Let n = -1125 - -1130. Which is the biggest value? (a) 3 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-3)*(1 + 26\/(-3)). Solve -5*l + 8 = o for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295*12\/900*-15\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 - v. Let j(c) be the second derivative of 7*c**4\/6 - 5*c**3\/6 - 3*c**2\/2 + 2*c - 211. Determine -j(u) + 5*m(u).\nAnswer: -19*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0514069658 + -147?\nAnswer: -146.9485930342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 18. Let o(d) = -8. Let j(f) = -1. Let b(x) = 5*j(x) - o(x). Give -3*a(r) + 18*b(r).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.132 + 4.232. What is the biggest value in 5, r, 1\/4, -5, -2\/53?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 8*q**2 - 2*q - 12. Let z be h(-8). Suppose z*t - 12599 = 13001. Round t to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (8 + -6 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 0.074?\nAnswer: 1.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 60 (b) -6\/73 (c) 4 (d) 5 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 35*o**2 - 25*o**2 - 3*o**3 + 198*o**2 + 1 + 5.\nAnswer: -3*o**3 + 208*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1804603 and 336536.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 5 (c) 0.06 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 53275 = -2*b + 52312, 0 = -4*b - 2*u + 211214. Suppose 5*r - 13195 = -a, 0 = a - 5*a + r + b. What is a rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3*j**2 - 33*h**3 + 2214*h**2*j + 325*h*j - 4753*j**2 wrt h.\nAnswer: -18*h*j**2 - 198*h + 4428*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2088, -4225, -6362, -8499, -10636?\nAnswer: -12773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69580 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 0. Let n = i - -0.04. Which is the nearest to n? (a) -1 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21058, 42118, 63178, 84238, 105298?\n\"Answer: 21060*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-1)*(-70)\/4. What is the common denominator of o\/21*(-6)\/(-16) and (-2981)\/(-528) + 2\/12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9411204 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41*a**3*v**2 - 3*a**3*v + 4*a**2*v - 2*a**2 - 11*v**2 wrt a.\nAnswer: -246*v**2 - 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2222 (base 4) to base 8\nAnswer: -252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 46 (b) 170.9 (c) 185\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-122)\/(-10) - 4\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -42, 1\/5, -18\/79, -0.1, -0.63, 8\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/6913659 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkthkktkhtkt. What is prob of sequence hh?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3 - 2. Let p = i + 2. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(550) - (-2*sqrt(2200) - sqrt(22)))\/(5*sqrt(55)\/sqrt(5) - sqrt(11) - sqrt(99)\/(sqrt(9)*1)).\nAnswer: 16*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 88 = -81. Let c = 357 - l. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 1. Let t(j) = -2. Let n(o) = 2*l(o) - 2*t(o). Let u be n(-5). Solve 5*g - u - 3 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 435206 by -392.\nAnswer: -217603\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 312 + -16214?\nAnswer: -15702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (38\/16 + -2)\/(12\/96). Suppose 3*h - 2*p + 52 = 0, 5 = -2*h - 4*p - c. Let j = -13 + 0. Which is greater: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1046887, -1046820, -1046709, -1046554?\n\"Answer: 22*d**2 + d - 1046910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3 + 219*q**2 + 216*q = 0. What is q?\nAnswer: -72, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 32?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**3\/(j**0*j)*j**4\/j*j\/(j**(-8\/3)*j)*(j**(-1))**(-26)*j**8*j*j**(-1\/4) assuming j is positive.\nAnswer: j**(509\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*g - 858 = -o, o - 294 = 5*g. Let y = o - 170. What are the prime factors of y?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 631412 to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/12 + 260\/16. Suppose s + 4*k - t = -0*k, 9 = 3*k. Differentiate -2*f**4 - f**3 + f**3 + s wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, r: 18}. Give prob of picking 1 r and 2 a.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 33*g**2 + 113*g + 101. Determine n(29).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 133310 + -3040123?\nAnswer: -2401313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/60 - 2*d**4\/3 + 7*d**3\/2 - 4*d**2. Let b be i(15). Suppose b*o = 5*o + 2. Solve h + o = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) -2\/19 (c) 42 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-12))\/11*-3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 35177923 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 1. Let m = 1043 - 1041. Let g(l) = l**3 + 0 + 0 + 4*l. Give m*t(x) - g(x).\nAnswer: x**3 - 4*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 37*v - 18*v**3 + 42*v - 77*v in the form r*v**2 + u*v**3 + i*v + o and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*w + 213, -4*w = -3*o + 4*o - 170. Let m(h) = h**2 + 7*h + 13. Let c be m(-6). What is the remainder when w is divided by c\/21 - (-64)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexxexex. What is prob of picking 1 x and 2 e?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*((3 - 1 + 0)*(23 - 23 + 3*k) + 54*k - 17*k - 19*k + (-5*k + 4 - 4)*(-1 - 1 + 1)).\nAnswer: -29*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 10404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**3 - 2. Suppose 4*z = -4*r + 224, -r - 2*z + 0*z = -54. Let b(i) = -r*i + i**2 + 58*i. Give b(a(h)).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 + 14 + 91 - v - 49 + 34.\nAnswer: -v + 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -20.3. Put 2, -0.5, w in descending order.\nAnswer: 2, w, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50*(-16)\/32*1 + (6\/1 - 0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-2*(sqrt(1216) + (-1 + sqrt(1216))*-5 + 3*(sqrt(1216) + 1 - sqrt(1216)))**2.\nAnswer: -117120 + 3072*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 3*m + 60.\nAnswer: -3*(m - 4)*(m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/2)\/(3165\/422))\/((-8)\/(1*1920))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561, -1144, -1727, -2310?\nAnswer: -2893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000080662 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -0.2, 1\/8, 1.1, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 2*q - 3*q + (-q - q + 0*q)*(1 - 2 - 1) + (-160 + 263 + 307)*(-2 - 3 + 3)*(6*q - 2*q - 2*q) as l*q + d and give l.\nAnswer: -1635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35 - 42. Let i(b) = b**3 + 8*b**2 + 9*b + 8. Give i(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 0*r - 3*r + 879*r**2.\nAnswer: 879*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 507 = 10*n - 9*n - 536, 3*n - 9 = 0 for h.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*j = 1228 - 10798 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 9 + 3. Let o(v) = -v**2 - 7*v + 1. Let n be o(-5). Let k = n + q. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333866993 divided by -589?\nAnswer: -566837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1178 - 1178.5. Which is the nearest to -1\/22? (a) 0.3 (b) 1\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10*n**(-3)*n*n*n*n**(-2\/33)*n*n**(-2\/37)\/n*n assuming n is positive.\nAnswer: n**(13291\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -946 - -976. What is the smallest common multiple of r and 300?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59768224889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3. Let t = -8 - -9.7. Let n = t - 0.7. Which is the closest to -1? (a) n (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5\/8 of a microsecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 35*b - 269. Calculate w(13).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 642 + -639. Suppose 0 = 2*b - 5*g + f*g - 60210, 4*b - 5*g = 120425. What is b rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.70457 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*b - 50. Suppose -105*k = -110*k + b. Solve 3*l - 2*l - k = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22772588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -13. Let j = 0.68 + -3.78. Let y = j - -3.4. Put 3, b, y in increasing order.\nAnswer: y, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 1401 - 1401.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1976 a factor of 62536448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 638*p**4 - 13505 + 13505 + (p**2 - p**2 + p**3)*(-12*p - 7 + 7) - 2*p**4 - 3*p + 3*p to n*p + u + x*p**3 + g*p**4 + f*p**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -62. Calculate the highest common factor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -308*a**3 + 41980*a**2 - 94512*a - 48240 = 0.\nAnswer: -3\/7, 30\/11, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(884\/(-3536)*(-16)\/(-194))\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -66. Suppose 3*l = -8*l + w. Suppose 5*q + 1 = l*u, 15 = -3*u - 2*q + 7. Which is greater: u or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13204 is divided by 6598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 3*r - 3. Let v be k(2). Let w(u) = 175*u + 63. Let o(n) = 11*n + 4. Let f(a) = 63*o(a) - 4*w(a). What is the units digit of f(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 58*q**2 + 27*q + 35. What is the units digit of y(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 0.624.\nAnswer: -4.376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.3 and 736336?\nAnswer: 736336.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a5a5a - -130?\nAnswer: a608a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43566710 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: Evaluate (-18)\/84 - (-195)\/(-1638) - (-23)\/51.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3644.809 litres in millilitres?\nAnswer: 3644809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 277524 and 370032?\nAnswer: 1110096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, b: 8}. What is prob of sequence mb?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 + -15. Suppose -2*h - 5*r - 10 = 0, -2*h + 0*h - r + 6 = 0. What is the highest common factor of u and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949 = -46*z - 805 - 592 for z.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*l**5 - 616*l**4 + 8296*l**3 + 12400*l**2 - 35844*l - 60552 = 0. What is l?\nAnswer: -29\/11, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*m**2 + 2)*(m + 0*m + 0*m) + 0*m**3 + m**3 - 3*m**3 - 5*m**3 + 4*m**3 + 0*m**3 - 2*m**3 + m**3 + 3*m**3 - 1 + 1 + 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccicsccsisccscscccc. Give prob of sequence ics.\nAnswer: 13\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -m + 51 - 49, -3*m = b - 14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -2*l + 5, 0 = 4*l - 2*l - 4*w - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**3 - k - 1. Let t be b(-1). Let n = -6 - t. Solve 8 + 10 = -4*d + 2*y, 0 = -d + y - n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 4 in decreasing order.\nAnswer: 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 122 - 220)*(4*s - s - 3*s - s - 11).\nAnswer: 197*s + 2167","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 777383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/7, 0, 2.64.\nAnswer: -3, 0, 3\/7, 2.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 3, -5, 0, -16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1630?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178506179\/337897 - -3\/48271. Let o = -528 - t. Solve o*b**3 + 4\/7 - 6\/7*b + 0*b**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**2 - 84*b - 5. Calculate u(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127985 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81870899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + k + 2*k**2 + (-7*k + 3*k + 3*k)*(-2*k + 0*k + k) - 9*k + 7 + 3*k - 1004*k**2 + 1003*k**2.\nAnswer: 2*k**2 - 6*k + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-356)\/(-12))\/((-42)\/18 + 2). Is h < -91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1797634063?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4\/(-17))*2688\/21504*(-8)\/(-10)?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z**3 + 4*z**2 + 6*z**2 - 6*z**2)*(5*z**2 - 5*z**2 + 2*z**2).\nAnswer: -30*z**5 + 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 6 = 0, 5*c - 3*y + 21 = 2 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-88))\/(((-6)\/56)\/(-3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18, -16, 12, 78, 194, 372?\n\"Answer: 2*w**3 + w**2 - 15*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -396 - -420. Calculate the lowest common multiple of l and 30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in 0.2, -18, 8\/5, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + -2 + sqrt(80))*5.\nAnswer: -10 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -2*x + 3*i, -113*i - 25 = -5*x - 108*i for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 - 2 = -4*n. What is the remainder when (5 - 21\/14)\/(1\/14) is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y**2 + 3*y**4 + 2*y**2 + (2*y**2 - 2 + 2)*(-3*y**2 + 3*y**2 - 2*y**2) + (4*y**2 - 2*y**2 + 0*y**2)*(-2*y**2 + 6*y**2 + 2*y**2).\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - 4*i + 2. Let f be ((-228)\/18 + 14)\/((-4)\/(-6)). Calculate x(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a6a (base 11) to base 10.\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/(-8))\/((-7)\/(-42)))\/(1365\/(-130))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17.92848ml?\nAnswer: 0.01792848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p - 13*p + 6 + 9*p + 2*p + 15*p. What is k(-4)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3392*f + 47. Let i(h) = 3389*h + 38. Calculate 5*i(m) - 4*u(m).\nAnswer: 3377*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1*((sqrt(3) - sqrt(12)\/sqrt(4)*-6) + sqrt(27)\/(sqrt(90)\/sqrt(10))))**2 + 1.\nAnswer: 16*sqrt(3) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9588536401 - -0.2?\nAnswer: -9588536400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*((-104)\/12)\/((-4)\/(-6)). Let y(b) = 11*b**3 - 13*b**2 - 11. Let g(a) = -5*a**3 + 6*a**2 + 5. Give s*g(n) - 6*y(n).\nAnswer: -n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11064*m**2*p**2 - 30217*m**2*p - 2*m**2 wrt p?\nAnswer: 22128*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -234168 divided by -11?\nAnswer: 21288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d - 35*d + 79605 = 0. Suppose 3671 = 16*t - d. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/((-27)\/(-3)))\/(4\/204). Solve -5 = 4*v - r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/18 and 37\/1268.\nAnswer: 11412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + 14?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/640 and 13\/1536.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2938684 times 14.2\nAnswer: -41729312.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdcw when four letters picked without replacement from {v: 1, b: 1, d: 4, w: 2, z: 1, c: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 12) + 19 - (-1 - 10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**6\/120 - c**5\/20 - c**3\/3 + 33*c**2. Suppose 0 = -3*p + 4*p - 2. Calculate l(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g + 24*g - 22 = 0. Calculate the remainder when 239 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727303671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.798 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 36 = 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 475919508.\nAnswer: 2, 3, 39659959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3860\/(-2316)*7\/(70\/(-258))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-29 + -21 - -62) + -46 + 1\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10339 and -180602?\nAnswer: 170263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*g**2*k**4 + 16*g**2*k**2 + 65*g*k**4 + 6*g wrt k.\nAnswer: 144*g**2*k + 1560*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(245) + (2 + sqrt(245))*4 + -4 - (-4*(sqrt(245) + 1) - sqrt(245))*-6)*4 + 0)**2.\nAnswer: 112000*sqrt(5) + 2456400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.41058 to 3 dps.\nAnswer: -0.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*d + 9 = 195*d - 367*d + 4*k, 0 = 5*k - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -3, -60, -1\/3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11229 - 11214. Solve -y = -5*j, -3*j + 115 - 103 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/4*3\/(90\/48). Solve 4*c = -2*j + 4 + 6, -c = -j - t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -233 (b) -1\/5 (c) 2 (d) 2\/23 (e) 24.24 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3539, 6, 4 in decreasing order.\nAnswer: 6, 4, -3539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24570730 or -24570731?\nAnswer: -24570731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lulo when four letters picked without replacement from {l: 3, u: 2, r: 3, p: 3, o: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707299 is divided by 1095?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1236)\/14420*-15*1.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 9:45 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3*n**2\/2 - 736. Let a(c) = -46*c + 2. Determine g(a(k)).\nAnswer: -138*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a - 2*g = -12*a + 100, 3*g - 66 = -3*a. Suppose -2*j - 16 - 2 = 0. Let q = a + j. What is the remainder when 27 is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 3*d, -2 = 5*d - 12. Calculate the least common multiple of i and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 27*f + 22*f - 88 - 23. Suppose -15*g - 27*g + 22 = 274. Let r(n) = -25*n + 55. Let v(j) = g*s(j) - 13*r(j). Differentiate v(d) with respect to d.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 14*v**2 + 7*v - 51. Let q be w(-10). Calculate the greatest common factor of 207 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -9*g**3 - 10*g + 1. What is the tens digit of p(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(65)*-2)\/sqrt(5) + sqrt(13) - sqrt(13) - (sqrt(143)\/sqrt(44) + sqrt(13))**2.\nAnswer: -117\/4 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393 and 2806434?\nAnswer: 367642854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41929929?\nAnswer: 3, 1301, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 2 + 2*h**4 - h**4 - h - h**3 to the form u + b*h**3 + s*h**4 + o*h + d*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1232 and 146036.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -154*w**2 - 27*w. Let u(c) = 1098*c**2 + 189*c. Calculate -15*g(q) - 2*u(q).\nAnswer: 114*q**2 + 27*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*f + 15 = 0, -2*b - 4*f + 26 = -9*f. Solve 8*u + b = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/16)*k**(-2\/7))\/(k**(2\/17)\/(k*(k**(1\/23)\/k)\/k)))**17 assuming k is positive.\nAnswer: k**(-56815\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-601)\/(-4) + (-3)\/12. Suppose -2*d - p = -30. What is d rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 53. Let w be u(-28). Let c be (-1)\/((-1)\/13*1). Solve c = 4*z - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 133. Calculate y(17).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676416\/1073160 - (-11)\/(165\/(-4))?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19\/3 + 20\/3. Let l be -1 - (-2)\/(8\/10). Is l equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 2, s: 4, c: 9}. Give prob of picking 1 s and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 261126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1363306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(1 - 3) + 3. Suppose -h + 5*p = -15, 2*p + 10 = -3*p. Suppose -3*t + a = -14, h*a - b = 4. Solve 8 = t*j - 3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 357332*l - 20. Let s(v) = -v**2 + 3*v + 13. Let p be s(-4). Let k be z(p). What is k rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 6. Let a be d(11). Let k be 8\/(-30) + 4\/(-10). Is k greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -46, -45, -44, -43, -42, -41?\n\"Answer: h - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*l - 73 = 0, -8*w = -5*l + 3849 - 3728 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -2855\nAnswer: 23\/2855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-871*j + 3310 - 669*j - 3310)*(-5*j + 4*j + 0*j).\nAnswer: 1540*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 b, and 1 n when four letters picked without replacement from {x: 1, m: 1, n: 1, b: 2, w: 1, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16\/869 - 805\/3476. Which is the nearest to v? (a) 0.065 (b) 0.2 (c) 0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29 + 6*z**3 - 48 + 21 wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267688 is divided by 2353?\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450.803191 rounded to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 8*m**2 + 12*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v**3 + v**4 + 0*v**3)*(-12 - 6 + 10)*(1 - 8 + 4) to the form n*v**3 + z*v**2 + h*v + q + u*v**4 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*r - 19 = 0, -4*r + 37 = -2*v - 3*v. Is 0 - (0 - -1)*v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10348 + -1)*210\/90 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/27 + -1 - 1664\/(-234)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 - -4.55?\nAnswer: 4.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 464.8242 kilograms?\nAnswer: 464824200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9924673?\nAnswer: 11, 683, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31493?\nAnswer: 7, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80194742 divided by 2?\nAnswer: 40097371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-16)\/4)*15. Suppose 5*o - 2*w = -5206 + 893, 4*o + 3*w = -3432. What is the tens digit of 9\/s - o\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 27*h**2 + 0*h + 28*h**2 - 4*h. Let t(s) = 5*s**2 - 35*s. Determine 35*p(d) - 6*t(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/(k*k\/(k**(3\/2)*k*k)))\/(k*k*k*k*k**(-1\/6)*(k\/k**(1\/2))\/k) assuming k is positive.\nAnswer: k**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/361 and -45\/8968.\nAnswer: 170392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 + 9 + 922 = 145*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5.350269933.\nAnswer: 0.350269933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 7*k**4 + 26*k**3 + 4*k**2 - 42*k - 27 = 0.\nAnswer: -3, -1, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 287286529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 - 4)*(-12*x - 24 + 24).\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5624980)\/(-25) + (-8)\/(-10). What is j rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793, 1610, 2427, 3244?\nAnswer: 4061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h. Let p be i(-1). Let k(q) = 2*q**3 - 2*q**2 + 0*q**3 - 2*q**3 - q**3. Does 16 divide k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -7 - 5) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 22) + 2 + 1 + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4*(-8)\/42. Let s(u) = 15 - 18*u**2 + 21*u - 10 + u**3 - 80. Let q be s(17). Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60372 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*p**2 + 19*p**2 + 19*p**2 + 33*p**2 + (-4*p + 4*p - 3*p**2)*(0 + 2 - 1).\nAnswer: 121*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*b = -248, -r + 35 = 5*b + 135. Let w = r - -135. What is the greatest common divisor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-2))\/(119\/(-17))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, -0.2, 0, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1557*t - 1475. Let n(y) = 1555*y - 1478. Let d(a) = 6*k(a) - 7*n(a). Differentiate d(q) wrt q.\nAnswer: -1543","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v + 53*v**3 + 116 + 32*v + 16*v**3 + 139 - 18*v.\nAnswer: 69*v**3 + v + 255","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-462) - (-166)\/28?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014 is divided by 2*(675\/18 + 3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 476*w + 475*w - 33 = 0, p - w - 19 = 0 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 3559*m**3 - 3556*m**2 + 7116*m.\nAnswer: -m*(m - 1)*(m + 2)*(m + 3558)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14045 + 0?\nAnswer: 14045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j - 29. Let l be 3*(-6 - 3) + -4. Let v = l - -39. What is the smallest common multiple of x(5) and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3. Let v = -6 - -4. Let t(f) = 13*f + 4. Let j(c) = -2*c. Let y(k) = 6*j(k) + t(k). What is v*y(i) + 3*u(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-96)\/8 - (0 - 1). Let s = k - -16. Suppose -4*u + s*u = 74. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1608908 - 1095*q**2 - 80883*q + 16*q**3 - 336177 + 948*q + 13*q**3 - 34*q**3.\nAnswer: -5*(q + 73)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 - 6*x**3 - 4*x**3 + 11*x**3 + 2*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 3*t + 7. Give g(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*f - 505 - 287 = -1451 + 219 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404*x - 2344 + 435 - 3707 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*d - 5*d**2 - 180*d - d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 greater than -1295\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -346, 4\/7, -2\/11, 24\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (48\/10)\/(32\/80). What is the nearest to 1 in 3, 0.2, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44375.07 centuries to millennia.\nAnswer: 4437.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 10*p**2 - p - 12. Suppose 0 = 6*g - 92 + 26. Does 23 divide n(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/10*-10*(-7)\/28\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**3\/3 + 1. Let o(x) be the second derivative of -x**4\/4 - 27*x. Calculate o(r(u)).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x + 2. Let i(y) = 1. Let s(t) = -2*t + 1. Let d(u) = 5*i(u) - s(u). Let j be d(-2). Sort -2, j, x in decreasing order.\nAnswer: j, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6 - 46. Let m = i - -28. Suppose m = -7*x + 284. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3*l - 2*p, 0 = -2*l + p. Suppose -8 = -l*q - 2*q. Differentiate -d**4 - 5*d**q + 1 + 2*d**4 wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - -3)*1541\/69. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f**2 + 25*f**2 - 732*f + 2*f**2 + f**2 + 784*f - 40*f**2.\nAnswer: -3*f**2 + 52*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 1 - 2 = -3*m - 2*x, 0 = 6*x + 38 - 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 2:06 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 7 + 22, -2*g = -r - 11. Suppose g*f - 24 = -0. Suppose 0 = f*k - 7*k. Does -1\/29 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -3*w + 22, -5*w - 5*x - 3 = -13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -12\/5, 2048, 8, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26247*u**5 + 18995*u + 2.\nAnswer: -524940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1)*1 + -3)**2*6 - (sqrt(637) + sqrt(637) + sqrt(637)*-1 + 2 + (sqrt(637) + 2 + 0 - sqrt(637))).\nAnswer: -343*sqrt(13) + 3914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 13*j**2 + j + 23. Let f be x(-13). Let q(r) = -r**3 + 11*r**2 - 10*r - 14. Let i be q(f). Let c be 2\/7 - 66\/i. Which is smaller: 3 or c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23243.\nAnswer: 11, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 507 - 497. Solve 0 = -7*s + 2*s + r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g - 51345 = -52*g. Suppose g = 20*f - 1765. What is the greatest common divisor of f and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1034914998?\nAnswer: 2, 3, 13, 13268141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -16*a. Let q be y(-1). Suppose -5*i = q + 24. Let o be (-1 + -2)\/(7 + i). Which is greater: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.66 - 2.06. Let y = 28.4 + s. Let z = y - 26.9. What is the third biggest value in 4, z, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-60 - -53)) + (0 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a - 86792. Let d = a + 13361. Let l = d + 83467\/10. Find the common denominator of -49\/16 and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/((-140)\/8) + (-19)\/(-7). Suppose 3*d - 2*n - 188 = z*n, 0 = -5*d - 3*n + 370. What is the tens digit of d + 0 + 6\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 7*p + 7. Let s be k(4). Suppose -4*i = -d + 29, 3*d + 3*i = 8*i + 66. Calculate the greatest common divisor of d and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, v: 7}. What is prob of sequence eve?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000000111101101 - 11111?\nAnswer: -111000001000001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 5*b**2 - 18*b - 26. What is the least common multiple of k(-5) and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = x - 16, 4944*x + 5*j = 4947*x + 22 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1628 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -15 - (-55 + 20).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -8. Let f = y - -6. Find the third derivative of -29*n**4 - 34*n**4 - 24*n**4 + 39*n**f + 77*n**4 wrt n.\nAnswer: -240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83185849 is divided by 569766.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmqq when four letters picked without replacement from {m: 11, q: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2, 0 = 2*v + v - 4*j - 26. Let a = 6 - 4. Solve -8 = 4*z, -a*s = 2*z - v*z - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 16. Suppose 2*w - r = -0. Find g such that -26*g**3 - 8*g**w + 2*g - 12*g**2 - 6*g - 2*g**2 - 8*g**4 = 0.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297 - 5059 = -94*k - 9*k. Calculate the remainder when 2283 is divided by k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2917447 is divided by 925?\nAnswer: 922","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -2\/7 (c) 22901\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/55065 and -21\/1560175?\nAnswer: 4680525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 6, -b + 2*n = -6*b + 19. Is 0 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**2 - 7*a**3 + 202*a - 565*a + 720*a + 217*a + 23*a**3 wrt a.\nAnswer: 96*a + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 5*d + 2*d)*(-3 + 0 + 0)*(-1 - 3 + 0).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 5*u - 3*u. Let v be w(0). Solve v*q - 2*q - 4*m = -16, 0 = 2*m - 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -91352 (base 10) to base 7.\nAnswer: -530222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - 2*-2*sqrt(252)) + (-2*sqrt(252) + sqrt(252) - sqrt(252))*1 + -4.\nAnswer: -4 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2800792 rounded to 2 dps?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 23 = 5*k - 102, -4*q = 2*k - 42. Suppose 43 = 5*i + 23. Solve k = i*w + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(n - n + 2*n**2) + n - n**2 - n)*(n**3 - 3*n**3 + 4*n**3) + 6*n**5 - 7*n**4 + 7*n**4.\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 - 13*h**2 + 21*h - 9. Let y(g) = 13*g**3 + 40*g**2 - 60*g + 26. Let a(q) = 11*k(q) + 4*y(q). What is a(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225923.4 rounded to the nearest 10000?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*b + 40*b = -126 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3738 = 1416*o + 36316 - 10318 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 2) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1800) + sqrt(1800) + 2 + sqrt(1800))**2 + 5 + 0 + 0 + -1 + 3 + -5.\nAnswer: 360*sqrt(2) + 16206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4) - (-2)\/4. Let u = -64165 + 64167. What is the second biggest value in -10, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.98 - -3.92. What is the fourth smallest value in 2\/17, y, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*l = -9, 0 = 5*p + 2*l - 55 - 50. What is the remainder when 54 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -9*k - 435 + 426, -6*x = 2*k - 46 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -203014 not equal to -200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 0 + 1\/3*p**4 - 6*p + 8*p**2 - 8\/3*p**3. Suppose c(a) = 0. Calculate a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.089991 + -0.09. What is r rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/3 + 7*o**2 + 56*o\/3 - 208.\nAnswer: (o - 4)*(o + 12)*(o + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**6*m)\/(m\/(m*m**(7\/3))))\/((m**1*m)\/(m*m**6))*(m**(-1))**26\/(m**0*m*m**(-3\/8)) assuming m is positive.\nAnswer: m**(-271\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55153?\nAnswer: 7, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1531557 + 1531575. Let l(x) = x**2 + 3*x + 2. Let o be l(-3). Suppose 3*i + 2*u - 11 = 0, o*u + u = i. Solve v = -i*s + p, s - 11 = -v - v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75228 take away 0.01?\nAnswer: 75227.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1833897.429 microseconds to weeks.\nAnswer: 0.0000030322378125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + a - 4. Let w(o) = o + 1. Determine k(r) + 4*w(r).\nAnswer: -r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 98, 77, 38, -25, -118, -247, -418?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -39. Which is greater: m or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 4*g + 30, -4*i + 8*g = 5*g - 38. Suppose 6*a + 5 = i. Solve 0 = 3*s + a - 13 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-21*1\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 - 7*m**2 - 23*m + 5. Determine q(7).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 37 = -2*f. Differentiate -30*g**2 + 30*g**2 - f - 2*g**3 - 5*g**3 with respect to g.\nAnswer: -21*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -163787.5 and 118.\nAnswer: -19326925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.2. Let d be 1\/(-3) + (-2)\/(-42). Which is the third biggest value? (a) d (b) 0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 4 + 4)*(10*t + 0*t - 8*t) + 31*t**2 - 127*t**2 + 22*t - 20*t in the form a*t**2 + r*t + v and give a.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2107*p = 5201*p + 201110 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -b + 32. Suppose p + 13 = m + 4*p, 4*m + 4*p = b. Suppose -228 = -0*h - m*h. What is the remainder when h is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 3*r + 176. Let a(p) = 342*p + 1819. Let k be a(-5). Let x = r + k. Solve x + 0 = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*u**2 - 311*u + 70370 with respect to u.\nAnswer: -68*u - 311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1776.9999997813 + -1777. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 0.3, 4, 54, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35\/11 + -208\/55. Let t be 7\/(-9)*8\/(-28). Which is the closest to t? (a) -1 (b) 1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (67\/(-3))\/(-15 + 14) and -37.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 4*l + 3*l)*(-2 + 1 - 1) - 622*l + 608*l - 15 + 9 - 9.\nAnswer: -10*l - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + 3 + 4)*-4)**2.\nAnswer: 2688*sqrt(17) + 39952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**5\/30 - 29*f**4\/24 - 41*f**3\/3 + 56*f**2 - f. What is the first derivative of n(p) wrt p?\nAnswer: 4*p - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 3*h - 447, -3*b + 327 = h - 6*h. Let z = -109 + b. Suppose -y + z*k + 30 = 2*k, y - 38 = -5*k. What is the remainder when y is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 58*u - 4*u**2 - 121*u - 12*u**3 - u**4 + 61*u - 3*u**3 - u**4 as t*u + l*u**4 + p + x*u**3 + n*u**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d8 - 1?\nAnswer: -6d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-11 + 7 - (2 + -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, 972, -19, -6 in descending order.\nAnswer: 972, 1\/6, -6, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14207261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 34253705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/38 and -46\/171.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 89, 177, 281, 407, 561, 749, 977?\n\"Answer: a**3 + 2*a**2 + 75*a + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62 - 59. Find the second derivative of -36*n**4 + 1182*n**3 - 1182*n**3 + o*n - 3 wrt n.\nAnswer: -432*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 2, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61337847 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - -10) + -18\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d**25)*d*d**18*(d\/(d*d*d**8*d))\/((d*d**(-3\/8))\/d) assuming d is positive.\nAnswer: d**(-125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169180*c**5 - 15*c - 578?\nAnswer: -3383600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 54, 108, 214, 390, 654?\n\"Answer: 3*m**3 - m**2 + 2*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2837 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1482285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40261 is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-7))\/(-35*43\/8428).\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00413 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 355 is divided by 60.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 14. Let w be (5 + -4)\/(2\/h). What is the greatest common factor of w and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 6:12 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o. Let f(q) = 6*q - 4. Give f(c) + 5*s(c).\nAnswer: c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-1 + (-15 - (-3 - -40)))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 5729201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 207. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 2*v**2 + v + 2. Let c be f(2). Suppose -c*p = -117 + 29. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 957*n**2*q - 6*n*q - 9*n wrt n.\nAnswer: 1914*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 12 + 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/145475 and -42\/20802925.\nAnswer: 20802925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70293290057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13073, 1\/24, 3\/4, 4, -3 in descending order.\nAnswer: 4, 3\/4, 1\/24, -3, -5, -13073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31073*w - 10385*w - 10348*w - 10342*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -34 + 2\/3*q**3 + 1\/12*q**4 - 5\/2*q**2 + 2*q. Factor b(t).\nAnswer: (t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.59 - 0.59. Which is the third smallest value? (a) s (b) 12 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 209 = -38. Let j(f) = 3*f + 3*f + y*f**2 + 0*f**2 - 7*f**2 - 4*f + 1 - 5*f**3. Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38587\/2 - -19303. Let m(v) be the first derivative of 0*v**3 - o*v**4 - 16 + 18*v**2 + 0*v. Find the second derivative of m(r) wrt r.\nAnswer: -228*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 252?\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/4 and -49\/264?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488316 + 66847. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 243.2 + -1650.2. Let h = -1207.4 - c. Round h to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214 in 10\/91, -0.3, -3?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/17 + 28*t**2\/17 + 64*t\/17 - 256\/17.\nAnswer: 2*(t - 2)*(t + 8)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0044690252 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4451*31.\nAnswer: 13.7981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 669005 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - -6) + 0 + -1. Suppose -d = -g*l + 164, 2*d = 4*l - 2*l - 64. Suppose 2*u - l = u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -4. Solve 0 = k*i - 7*i - 9 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14ef + -4?\nAnswer: -14f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10485 by -18.\nAnswer: 1165\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 180.2 and 4?\nAnswer: 720.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 36 = -2*m + b, m - 24 = -2*b. Let p = -4 + 1. Let a be (-16)\/(-6)*p\/(-2). Calculate the highest common divisor of a and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2.9. Let w = -116757764\/761223505 - 2\/1144697. Let l = w + 1\/95. What is the closest to b in -6, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, -5, 0 in increasing order.\nAnswer: -5, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**4 - 6*y**3 + 53*y**2 - 6*y - 892. Let q(x) = 5*x**3 - 54*x**2 + 5*x + 889. Let h(s) = 5*m(s) + 6*q(s). Differentiate h(b) wrt b.\nAnswer: -20*b**3 - 118*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 - 9*i - 2. Let a be n(-4). Let f(r) = -1 + 2*r - 4 + 5*r**2 - 7*r - a*r**3. Let d(b) = 3*b**3 - 6*b**2 + 6*b + 6. What is 5*d(k) + 6*f(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*r = -2, 3 - 5 = -2*r. Let w be -5*(-3 + (u - 0)). Suppose -w = -z - z. Solve 2*h - 7*h = -z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3718 - 32 = 0. Let t = k - 5031\/4. What is the common denominator of t and ((-144)\/(-138))\/12 + 3471\/(-12144)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-408)\/1870*-33)\/((-52)\/13)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89679*k**4*u - 191*k**3*u**3 - k*u**3 - 2*k*u - 4242*u**3 - 14*u**2 - 6*u + 1 wrt k.\nAnswer: -1076148*k**2*u - 1146*k*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 476387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 1384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 3.2313, -1\/5, -0.3, 1\/8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = 0. Let m be -17 + (-664)\/(-40) - (-8)\/(-5). Put 13, m, x in descending order.\nAnswer: 13, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-101)\/(-202)*(8 + 0). Solve -r*k - 45 = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 722*y**2\/5 + 25481*y.\nAnswer: y*(y + 307)*(y + 415)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -94 + (-11 - (-79 + -6))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y - 2. Suppose -5*z - 25 = -0*z. Let k(v) = -10*v - 5. Calculate z*r(l) + 2*k(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(2\/27)*a*a**(4\/9)*a\/(a*a**3*a*a) assuming a is positive.\nAnswer: a**(-98\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q**5 + 218*q**4 - 26*q**3 - 26228*q**2 - 32472*q - 6480 = 0. Calculate q.\nAnswer: -18, -1, -1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 5 = 5*c, 2*b + 2*b + 5*c - 31 = 0. Suppose 0 = -b*z - p - 3*p + 28, z - 4*p = -8. Suppose -z*k = -2*k - 8. Solve 3*g = 4*g - k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/13*k**2 + 8\/13*k + 0 - 2\/13*k**3.\nAnswer: -2*k*(k - 4)*(k + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 97*r + 13520. Calculate q(77).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-3))\/(13\/(-39)). Which is the smallest value? (a) m (b) -0.9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**3 + 3*i**3 + i**4 - 2*i**3 - 2*i**4 + 2*i**3 + (-5*i - i - i)*(2*i**3 + 0*i + 0*i).\nAnswer: -15*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 180 and 38016?\nAnswer: 190080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -o + 5*q, 5*o + 44 = -4*q + 9. Let h = o - -8. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 6:32 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1718*p + 1717*p - l + 0*l = 3434*p + 4, 3*l = -15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*1*6)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 989 - 508 - 530 to h*m + y and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/g*g)**(1\/58)*g**1\/((g*g*g**(-4))\/g)*g**(-1\/3)\/g**(-6)*(g**(-1\/2))**25 assuming g is positive.\nAnswer: g**(-248\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 4*d**2 + 6*d + 5. Suppose 2*c + 30 = -4*y, 9 = -c - 5*y - 21. Let b be n(c). Suppose b = 4*i - 293 - 183. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(363) + sqrt(363)*-2)*-3)\/(5*-1*sqrt(11)))\/(sqrt(1100)*2*-1).\nAnswer: -9*sqrt(3)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2*14\/(-8)*17\/(-476)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(-496) + (-177)\/60.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -9, 1 in increasing order.\nAnswer: -9, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 52\/6 + (-2)\/3. Let j = 4 - a. Let r(s) = s**3 + 4*s**2 + 12*s - 1. Let f(d) = -3*d**3 - 12*d**2 - 32*d + 3. Let q(c) = 3*f(c) + 8*r(c). Give q(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**8\/168 + x**7\/42 - x**6\/30 + x**5\/60 - 6*x**2 + 22*x. Let w(f) be the first derivative of k(f). Factor w(j).\nAnswer: -j**2*(j - 1)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, -0.5, 0.035, -1.39, 3 in decreasing order.\nAnswer: 3, 2\/7, 0.035, -0.5, -1.39, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 58177 smaller than -5112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 119216, 119164, 119112, 119060, 119008, 118956?\n\"Answer: -52*m + 119268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*1*sqrt(833) - (sqrt(833) + sqrt(833)*-1*3))*4)**2.\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -115*o**5\/4 + 4045455*o**4\/2 + 42567335*o**3\/4 + 37642785*o**2\/2 + 12313145*o + 2110830 = 0.\nAnswer: -2, -1, -6\/23, 70361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(77) - (sqrt(77) + sqrt(77)*1)) + sqrt(77))*3)\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -132607 divided by 3?\nAnswer: -132607\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 652, 1298, 1944?\n\"Answer: 646*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 204120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1210 (b) -0.2 (c) -2 (d) -3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 901.1821 grams?\nAnswer: 901182100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eljllefbjfebe. What is prob of picking 4 e?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 4 + 21*l**3 + 2.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, 65, 216, 417, 662, 945, 1260, 1601?\nAnswer: 1962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -948.6*-25.\nAnswer: 23715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4057 - -4077. Solve -l*a + 9 = -91 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2) + 1 + (-336)\/(-5). Let b = p + -5573\/90. Find the common denominator of b and 71\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/472 and 93\/2?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -359, -785, -1377, -2135?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -451 - -471 - (-17 - (-4 - -8))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.51 - -0.71. Let c = j + 1.7999925. Round c to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 1. Let n be 30\/(2 + 4) + (-2)\/1. Let k(q) = -q**3 - 55 + 105 + n*q**2 - 47. Calculate -k(a) + 3*o(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 6*f + 3. Let a be p(7). Let k = -4939 - -4954. What is the derivative of k - 54*v - a*v + 137*v wrt v?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -12. Calculate the smallest common multiple of u and 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -147. Let k = b + 152. What is the greatest common divisor of k and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/11 (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**5 - 5*l**4\/4 + l**2\/2 + 18*l + 1. What is the second derivative of p(k) wrt k?\nAnswer: -60*k**2 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033233110 (base 4) in base 11?\nAnswer: 203430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 197. Let b = w + 74. Let s = 62.00000019 + b. Round s to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8489 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, k: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(1617) + -2*sqrt(1617) - sqrt(297)*-4)\/(-2*(-1*sqrt(110))\/sqrt(10)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 1, d: 3, n: 1, v: 1, c: 5}. What is prob of picking 2 c?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -102*h - 1. Let w(g) = g. Calculate r(q) + 4*w(q).\nAnswer: -98*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -37*a + 40*a. Let j(p) = p**2 - 5*p + 20. Does 4 divide j(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - (10 + -6 + -10). Sort 5, -10, 4, y in descending order.\nAnswer: 5, 4, y, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -2\/7, 16962?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/8 of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/7)*m*m*m*m\/((m\/(m**(12\/5)*m)*m)\/m))**(-9\/2) assuming m is positive.\nAnswer: m**(-2421\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.175 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 1. Let n(k) = -6. Let j(b) = -n(b) - 5*v(b). Let f(s) = s**2 + 2*s + 5. Determine f(c) - 3*j(c).\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-6)*k*k*((k*k**(-9)\/k)\/k)\/k*k)**28 assuming k is positive.\nAnswer: k**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0211 - 0.1?\nAnswer: -0.1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 5*o - 5. Suppose 0 = 3*i + a - 15 - 0, -2*i - 3 = 5*a. Determine t(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) - (-8)\/6. Suppose 2*t + 4 = -g*c, -4*c = 5*t - 2*c + 4. Solve -5 = -t*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -49, -91, -133?\n\"Answer: -42*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 872731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 648 and 44550?\nAnswer: 178200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.76 + 1340255.\nAnswer: 1340255.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 202 - 201.7. Which is the closest to -0.1? (a) 0.2 (b) 1\/14 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -674441000 to the nearest one million.\nAnswer: -674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 830612227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -277?\nAnswer: -4\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17826 is divided by 4445.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + 2. List the prime factors of (s - -1)*10\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -24*a**2 + 3*a. Let r(s) = s**2 + 141*s - 141*s. What is z(r(m))?\nAnswer: -24*m**4 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 times -68?\nAnswer: 7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-18 - (-19 - -13)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -95\/6 (b) 4 (c) 6\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**33 assuming d is positive.\nAnswer: d**(-165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yha when three letters picked without replacement from hvmaqvyvaahvv.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68.4 - 60. Let q = y + -8.81. Let o = 0.40999971 + q. Round o to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 11*h. Suppose 4*z + 20 = 0, -4*j - 48 = -h*j - 4*z. Let m = 22 + j. Solve m*t - 20 = -0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 2\/15*u**3 - 12\/5*u - 9 + u**2. Factor c(y).\nAnswer: 2*(y - 1)*(y + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/2240*-40*2\/23.\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -365 (b) -0.4 (c) 1\/4 (d) 1 (e) -27 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 = -4*s - 20. Let a = -64 + s. Put 1, 4, a, -5 in decreasing order.\nAnswer: 4, a, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/189 and ((-10340)\/(-150))\/11 - (4 - -2)?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756982847?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -232*w + 74*w + 70*w + 72*w. Let p(o) = 4*o**2 + 3*o - 3. Let i(k) = 7*k**2 + 5*k - 5. Let g(z) = 6*i(z) - 10*p(z). Calculate c(g(a)).\nAnswer: -32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -256479, -512967, -769457, -1025949, -1282443?\n\"Answer: -r**2 - 256485*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 76034ba + 33?\nAnswer: 7603531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9268 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1027109, 1\/2, -2\/11 in increasing order.\nAnswer: -2, -2\/11, 1\/2, 1027109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 131 - (75 + 37 + -31)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*2*-6 - -6*-1*sqrt(95))*-6)\/((sqrt(315)\/sqrt(36))\/(sqrt(63) + sqrt(63) + sqrt(1008) + sqrt(63))).\nAnswer: 4536*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 1\/3*w**6 + 0*w + 1 - 1\/5*w**5 + 1\/3*w**3 - 3\/4*w**4 + 1\/2*w**2. What is o in k(o) = 0?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*w - 12, -w + 5*m + 14 = -0*m. What is the lowest common multiple of 50 and w?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4454, 4513, 4610, 4745?\nAnswer: 4918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/5150082 and 65\/357?\nAnswer: 5150082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642\/18 - (-6 - 504\/(-81)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, c: 1}. Give prob of sequence ppc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/993 + 988\/4965. Which is smaller: -168 or p?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d8 (base 14) in base 13?\nAnswer: -b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnoncccnoonn. What is prob of picking 1 n and 1 c?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f - 2 = 2*f + 4*o, -2*o + 24 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/317 (b) -0.01 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174442 and 24.\nAnswer: 2093304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 13*x - 5*r - 7 = 0, -11*r + 12 = 2*x - 5*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d + 19 - 20 + 0*d + 0*d. Let h = 132 + -134. What is g(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -193*h**3 - 2*h**2 + 194*h**3 + 1 - 5*h**4 - 6 + 4 + h**2 as v + x*h**4 + p*h + z*h**3 + k*h**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 33*p**2 - 3*p + 263. Is a(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -16\/9, 4\/5, 1?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 566?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujjj when four letters picked without replacement from {u: 4, j: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7147567 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9684.\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3*l + 0 + (-l + 3*l + 0*l)*(-4 - 2 + 5))*(-2*l**2 + 2*l**2 + 4*l**3).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - -12. What is the highest common divisor of 51 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ouq when three letters picked without replacement from {q: 1, o: 2, n: 1, s: 2, b: 5, u: 5}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01648 minus 0.86?\nAnswer: -0.87648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + q**2 + 3*q + 1. Let u(g) = 2*g**2 + 10*g + 3. Let s(c) = -c**3 + c. Let i(m) = 3*s(m) - u(m). Determine 3*i(j) + 7*w(j).\nAnswer: -2*j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7.7 times 53\nAnswer: -408.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8163*w - 2*w**2 + 0*w**2 + 70*w**5 + 8152*w wrt w.\nAnswer: 4200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*j + 49*j**2 - 38*j**2 - 70*j + 4.\nAnswer: 11*j**2 - 101*j + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -75.44 (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1265 and -29\/88.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*c + 13*p - 9*p, 14*c = -47*p + 51*p - 85 - 9 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 5:34 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25780, 51595, 77282, 102841, 128272, 153575?\n\"Answer: -64*b**2 + 26007*b - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 11:05 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -386, 3, -4, 13, 6.\nAnswer: -386, -4, 3, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370740?\nAnswer: 2, 3, 5, 37, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4283?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 796\/19 + -19507\/418. Find the common denominator of h and (-673)\/(-228) + -2 + -1.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (-306)\/(-36))\/(1\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1278\/4727, -2, -1 in ascending order.\nAnswer: -2, -1, 1278\/4727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/5 + 9967*s\/5 - 5982.\nAnswer: (s - 3)*(s + 9970)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-928)\/32 + 48 - 11233\/611.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 8*l - 6. Solve -13 - l = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by 271128?\nAnswer: 61\/135564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j. Let i(w) = 7*w**2 - 70. Give n(i(d)).\nAnswer: 14*d**2 - 140","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*q + 20*q + 17*q + 24*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -121302202113?\nAnswer: 121302202102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-eight fifths of a meter in centimeters?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.5458757671 + -14.\nAnswer: -56.5458757671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220 - 220. Is (74\/4 + h)\/((-6)\/(-2796)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w + 7*w - 6*w - 2*w + 5*w - 2*w + 2*w - 4*w + 3*w + (2 - 2 - w)*(-1 - 1 + 1) - w + 4 - 4 - 2 + w + 2.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*t + 9, -9*t = -14*t - 4*p + 17. Let l be t\/(-40) + 642\/16. Let q(a) = 21*a - 1. Let m be q(1). What is the greatest common divisor of l and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 1 b when three letters picked without replacement from {h: 5, i: 2, n: 2, b: 1, q: 1, f: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = 18*i + 5. Let b be i - (10640\/6)\/4. Let w = b - -461. Find the common denominator of w and 21\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8.07, 1\/4, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*h - o + 54419 = 157*h, -68015 = -5*h - 3*o. Does 25 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a - 26 = -56 - 42 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ceee. What is prob of picking 1 c and 2 e?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122*y - 89*y**4 - y**2 + 91*y**4 + 4*y**2 + y**3 - 5*y**2 to the form x*y + d*y**3 + v*y**4 + g + o*y**2 and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.5, -0.01 in increasing order.\nAnswer: -0.5, -0.1, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 1)*(5\/(-15) - -5). Solve -5*b - 15 = -5*n, c*n - 10*n - 16 = 2*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 2, k: 1, p: 4, y: 3, i: 1}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/20)\/((-207)\/(-38295))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2024 = 25*q - 29*q. Suppose 0 = -3*s - 3*g + 1554, -5*s + 4*s + q = -3*g. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u. Let j be h(-1). Let m(o) = 232 + 4*o - 232. Let y(k) = -3*k. Let l(p) = 3*m(p) + 6*y(p). What is l(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7 - 154*h + 216*h - 8*h**2 + h**3 - 74*h. Determine o(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(325))**2.\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2878740366?\nAnswer: 2, 3, 5503, 87187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3975408 + -21175\nAnswer: -3996583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-4128\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - 104. List the prime factors of 4*w - 771\/(6 - 7).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3935*a. Let i(r) = -9*r**2 + 28*r. Give i(f(x)).\nAnswer: -139358025*x**2 + 110180*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-151)\/(-6)*3. Suppose 4*q - 2*q - 3*w = -298, 3*q - 5*w = -449. Let g = q + v. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.01*0.3\nAnswer: -0.603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28.4 + -31.4. Let v = -36.9 + 37. Which is the nearest to -8? (a) -0.1 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 26 = 58. Let o = 204 + w. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 8:06 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -37, -67, -117, -193, -301?\n\"Answer: -c**3 - c**2 - 6*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**20)**26 assuming k is positive.\nAnswer: k**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -2*m. Which is the nearest to m? (a) -0.3 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1112 - 1100. What is the closest to 2 in -3, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5235 - -106182.3476.\nAnswer: 111417.3476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**6\/(j*j\/(j*j*j**(2\/31))*j))\/((j*(j*j**(2\/7))\/j)\/j*j**(-1\/6)) assuming j is positive.\nAnswer: j**(6439\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1644666 by 1019.\nAnswer: -1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, 243, 1034, 2627, 5304, 9347, 15038, 22659?\nAnswer: 32492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18817763477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -187, 4, -3, -332, 2, 0 in descending order.\nAnswer: 4, 2, 0, -3, -187, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 1 (c) 15 (d) -4 (e) 2\/13 (f) 5 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2. Let i = -11 + 9. Let f(t) = -t - 2. Let m(a) = 2*a + 5. Let r(p) = i*m(p) - 5*f(p). Calculate r(l(o)).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -706200 and -3.\nAnswer: -706203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:44 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 11*s**2 - 2*s + 13. Suppose -f + 2 = -7. Is h(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 226 in 0.3, -0.4, -431?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 304 and 70620336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68925 by -75.\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -1\/70*m**6 + 0 + 0*m**3 + 1\/98*m**7 + 0*m**4 + 0*m**2 - 4*m - 3\/70*m**5. Factor b(r).\nAnswer: 3*r**3*(r - 2)*(r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.3, -48.526, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - j**4 - 2*j**3 - j**2\/2 - 6*j. Suppose -2*w + 5*w - 19 = -5*p, -w + 9 = p. What are the prime factors of o(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.748612 decades to years.\nAnswer: 57.48612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -0.9079, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3.53, 29, 273?\nAnswer: 273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 5*h + 3. Let p be b(-3). Let q be (-2 - 0) + -1 + p. Is (-31 + -2)*4\/q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 + 50*j**2 - 49*j + 147. Determine s(12).\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127654 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2544 = -2*g - 976. Let h be g\/17 + 24\/(-204). Suppose -3*n + h + 20 = 0. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60677680411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 - -0.32. Let h = n - -25.67. Let z = h - 25.7. What is the third smallest value in -1\/4, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719022065 divided by 3?\nAnswer: 573007355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 199031131 to the nearest integer?\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -17, -4, -1, 0.1, -10\/3 in decreasing order.\nAnswer: 0.1, -1, -10\/3, -4, -17, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46408 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2829 + 2878 + (-1 - -36)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 4*n + 0 - 2\/9*n**3 + n**2 + 5\/36*n**4 - 1\/30*n**5. Let g(h) be the first derivative of f(h). What is y in g(y) = 0?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 3, m: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q + 4*r - 80 = 0, -24 = -q - 4*r. Let m = 57\/2 - q. What is the third biggest value in -0.1, 0.4, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-47 - -106) + 65.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 14*q - 1141. Let o(r) = 22*r - 1715. Calculate 8*d(n) - 5*o(n).\nAnswer: 2*n - 553","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 3. Let s be r(2). Suppose -o - s = -3. What are the prime factors of 2\/(-4)*-37*o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-303)\/101)\/((-1)\/(2*2\/(-8)))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence offf when four letters picked without replacement from ovofvvofutssuf?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 10 (b) -3\/7 (c) -3 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 1 - (-1420 + -83).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22.01637m to centimeters.\nAnswer: 2201.637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**5 + 0*f**5 + 2 - 1 + (0*f**3 + 4*f**3 - 3*f**3)*(f**2 + 2*f**2 - 4*f**2) + (2*f**3 - 2*f**3 - f**3)*(3*f**2 - 4*f**2 + 5*f**2).\nAnswer: -8*f**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -164*b*m**4 + 48*b*m + b + 5*m**2 + 4*m - 5 wrt m?\nAnswer: -1968*b*m**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -2*x**5\/15 + x**4\/6 + 4*x**3\/9 - 2. Suppose q(o) = 0. Calculate o.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -8589.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 21. Solve -3 = -b*k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-92))\/3*50\/(-225).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -101 or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 148 = 2*o, -6 = 2*o + 2*j - 94. Let k = -7 + 32. What is the remainder when o is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2016)*1 + (2*sqrt(56))\/sqrt(4))\/(sqrt(700) - sqrt(700)*2 - (sqrt(7) - (sqrt(7) + -1*sqrt(28)))).\nAnswer: -5 - 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 161687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 216 - 3*m**2 - 114 + m**2 - 107 + 13*m**3 as h*m + t*m**3 + z + a*m**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 54 - 2659*p - 11014*p + 36 to t + n*p and give n.\nAnswer: -13673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-12)*2\/(-2) - 312\/36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87cd (base 14) to base 5.\nAnswer: -1223010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 37\/60 - (-4)\/30\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 16*d**2 - 7*d - 164. Let g be y(17). Let h(q) = q**3 - 4*q**2 - 10*q. What is h(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899062 - 56576 = -11866*v for v.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*s + 4 = -9, -5*s = 4*f - 25. Suppose -1 = -2*u + 5*m, f*u + 6 = -3*m - 7. Let h = 9 + -12. Do u and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89 - -97. Let i(g) = 3*g**2 + 6*g + 24. Does 37 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 146845.4 microseconds?\nAnswer: 0.1468454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2686 is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9858\/7 - -1408. Which is the nearest to 0.1? (a) 0.1 (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2223 in 1\/3, -18\/11, 12.19?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3951797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101000010 (base 2) to base 15.\nAnswer: -5eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/31))**37 assuming m is positive.\nAnswer: m**(-74\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 24. Let p be 6*(0 + (-1)\/u). Suppose -r + 4*s = -2*r - 15, 0 = -4*r - 3*s - 21. Is p < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1317*q + 1319*q - 2634*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 58*q\/5.\nAnswer: -2*q*(q + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q - 49941 = -48966 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15231 is divided by 112.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*p + 13*p + 10*p)*(1 - 3 - 2) + (-2*p + p + 2*p)*(4 + 1 - 3) - 3*p + p + p as g + n*p and give n.\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2235, 4470, 6705?\n\"Answer: 2235*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {c: 4, t: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -5*b - 18. Let p(l) = -4*l - 13. Let c(h) = -3*h - 9. Let u(z) = 7*c(z) - 5*p(z). Give u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4 = 4*g, 4*s + 20 = -s. Let z be (-340)\/555 + g\/3. Is z less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (225\/18)\/(-5)*8\/(-5). Let w = 0.4 - 0.2. Let l = -33\/5 + 7. Which is the nearest to l? (a) 0 (b) w (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4700167*i*y + 1013823*y - 2 wrt i?\nAnswer: -4700167*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31447 + 125787\/4. Sort -72, b, 0.07 in decreasing order.\nAnswer: 0.07, b, -72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j - 79*j - 33 = 0 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 - 6*w**4 + 5*w**4 + 2*w**5 - 3*w**5 + w**4 - w**4 + w**3 + 3*w**5 - w**3 + (2 - 2 + 2*w)*(0*w**2 - w**4 + 0*w**2).\nAnswer: -w**5 - w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q**2 + 40*q + 29. Let j(u) = u**2 + 10*u + 7. Let b(i) = -2*f(i) + 9*j(i). Let n be b(-11). What is the greatest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*2\/6 + 444. Suppose 3*g - u = -2*g. Let r = -834 + 864. What is the remainder when g is divided by r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 247.07603 and 627.\nAnswer: 874.07603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let v = -14.2 - -14. Let s = v - 1.8. Which is the second smallest value? (a) r (b) -0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (2 + 2)\/(-1). List the prime factors of -1*6\/b + (-790)\/(-8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1720*4.\nAnswer: -6880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q*q*q**8*q)))\/q*q**(1\/3))**(-3\/13)\/(q**(1\/5)\/q**(-6)*q**(1\/9)*q*q*q*q**(-1\/5)\/q) assuming q is positive.\nAnswer: q**(-1255\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, -8, -0.3, 7, 4\/7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyiioiioiyii. What is prob of picking 1 o, 1 i, and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c - 465*c - 1 - 295*c - 511*c to the form r*c + s and give r.\nAnswer: -1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**9)**(3\/13) assuming t is positive.\nAnswer: t**(-21\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -7 (c) -0.11 (d) 0.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/7 and -29\/164192.\nAnswer: 164192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13986 and 157842?\nAnswer: 1104894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20\/(-35))\/((-4)\/14). Suppose 5*c - 3*v = 16, 0 = -3*c - k*v + v + 4. Solve c*q - q = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 41. Suppose 0 = -0*l - 3*l - q + 642, 0 = -g*l + 4*q + 627. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -18*h + 16*h + 1341, 2*h - 1351 = 3*o. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4423 + -4419. What is the closest to 2\/7 in -2\/231, -4, 2\/9, q?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1088 divided by -17.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*n**3 + n**2 - 471 - n**4 - n - 3*n**2 + 469 to f*n + w*n**3 + l*n**2 + o*n**4 + i and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2 + 8*v**2 - 50*v + 7 + 45*v. Let r(t) = 17*t**2 - 11*t + 19. What is -6*r(j) + 13*s(j)?\nAnswer: 2*j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*i - 7 - 21, -36 = -4*t - 5*i. Let d(a) = a + 10*a - 15*a - 18 + 2. Let z be d(-8). Calculate the highest common divisor of t and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 121202959.\nAnswer: -4\/121202959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -256 divided by 1512\nAnswer: -32\/189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 15. Solve 0 = -4*d + 8, -2*d = -u - l*d - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x + 1. Let b be y(-2). Let f = b + -7. Suppose -2*s + f = -10. Calculate the remainder when 21 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 13*y - 45. Let x be j(5). Calculate the highest common divisor of 25 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 10:47 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + f = -4*f - 15, 0 = 4*f - 4. Suppose 4*d + a = 57. What is the remainder when 33 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238410876.\nAnswer: 2, 3, 11, 1806143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7\/244 (b) -2 (c) 1\/8 (d) 0.5 (e) -0.2 (f) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95721 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*h + 18*h - 58*h - 57*h + 152*h - 43 - 20*h**2.\nAnswer: -20*h**2 + h - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*s = -149*s + 25530 for s.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -5 - -1) + -3. Solve l*y = y - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in -2\/7, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6496498?\nAnswer: 2, 239, 13591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -206*r**3\/15 + 340514*r**2\/15 - 337696*r\/5 - 1320 = 0. Calculate r.\nAnswer: -2\/103, 3, 1650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 7216*k - 43152.\nAnswer: -4*(k + 6)*(k + 1798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 888 and 732378.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1427 - 829 = 0. Calculate the greatest common divisor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 171*s**2 + 22. Let i(g) = 172*g**2 + 18. What is 6*i(y) - 5*m(y)?\nAnswer: 177*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 397*u + 6581. Give j(-17).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19376 + 19378. Suppose 3*t - s + 2*s = -3, 9 = -5*t - 3*s. Sort t, u, -2\/13.\nAnswer: -2\/13, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -103*r - 1020. Calculate l(-8).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 1333*h**2 - 49788*h - 37902. What is d(702)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13122604 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 2*t**2 - 35*t**3 - 4*t**2 + t**2. What is the hundreds digit of h(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 61915333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190*a = -187*a + 27. Let u(y) = -13*y - 6 - 15 - 4. What are the prime factors of u(a)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 182376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2 + 51*l - 36. Let y be i(-14). Let p = -1013 + y. Suppose -4 = k + v, -2*k + 5*v = -0*k + 22. Put k, p, -3, 0 in decreasing order.\nAnswer: p, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*5\/((-10)\/4). Suppose 3*b - b - q = 0. Suppose -s = -b*u - 6, -4*s + 51 = 4*u + 3. What is the greatest common factor of s and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 30*s - 13. Let w(f) = f - 14. Let r be w(17). Does 15 divide a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163 (base 10) to base 3.\nAnswer: -20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 10 (c) -4\/5 (d) -297 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2312093360 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/4*32\/72*-6. Suppose t*k + 2*k - 8 = 0. Suppose 5*l + 1 = 3*o + 20, 0 = 3*o + k*l - 16. Which is smaller: o or 8\/7?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let a be m(0). What is the nearest to 0 in a, -1\/6, 4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 496028303?\nAnswer: 31, 113, 141601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, z: 1, h: 1, x: 1}. What is prob of picking 1 q and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*b - 14 = -6*a, 5*a - 3*b = 16. Let m(r) be the second derivative of r**3\/6 + r**2\/2 - 8*r. Let p be m(-1). Solve p*l + l = -a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + k - 3*k + 2631*k**2.\nAnswer: 2631*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 82 - (-24 + -20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 43.9 + 58\nAnswer: 101.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 - 38084848*k + 725227823591552.\nAnswer: (k - 38084848)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.324957 seconds in microseconds?\nAnswer: 4324957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 3. Let l(d) = -10*d + 7. Calculate 6*l(n) - 13*m(n).\nAnswer: 5*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2965)\/(-15)*(-9 - -132) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(66) - (sqrt(66) + (sqrt(66)*2 + sqrt(66))*4))*-2)\/(((-2*sqrt(60))\/sqrt(5))\/(sqrt(2) + sqrt(72)*-2 + sqrt(72))))**2*-6.\nAnswer: -3801600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2112112 + -210?\nAnswer: 2111302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30\/271 - -29254\/254469. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 + -10.6. Let o = -3 - x. Suppose 19*s - 6*s + 52 = 0. Which is the third smallest value? (a) s (b) 2\/15 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 134*k - 120*k - 1531*k - 10605 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q + 1. Suppose 4*f + 2*h - 22 = 0, 4*f + 4*h = 3*f + 2. Let u be v(f). Suppose -4*d - g = -0*g - 136, 4*g = -5*d + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-5))\/(63\/(-45)). Let g = -5 - -4.9. Which is the second biggest value? (a) g (b) -0.02 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let i(h) = 9*h + 2. Let t(n) = -8*n - 2. Let p(b) = 2*i(b) + 3*t(b). What is p(y(d))?\nAnswer: 12*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 = 15*i - 11*i. Suppose o - 5*o = -i. What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - q**2 - 2*q - 4. Let a be h(-2). Suppose -17*n + 125 = -a*n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130 not equal to -125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u + 126 = 14*u. Let c = 142 - u. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 1. Suppose -3*f + j = -8, 6*j = -2*f + j - 23. Let m be k(f). Solve -2*r - 3*h + 5 = 3, -4*h - 9 = m*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 7*y**2 + 2*y - 3. Determine n(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1964292 and 0.1?\nAnswer: -0.01964292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**4\/7 + 342*j**3\/7 + 11799*j**2\/7 + 75298*j\/7 + 9120 = 0. What is j?\nAnswer: -304, -30, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407676\/1799 > 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20734080 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1024 (base 9) to base 6\nAnswer: -3251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -85*y**2 - 31*y - 10. Let x(q) = -127*q**2 - 50*q - 15. Give -8*d(o) + 5*x(o).\nAnswer: 45*o**2 - 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7446 = -5*p + 2*p - d, d + 7452 = 3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.2 and -1962?\nAnswer: 1958.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3222 divided by -26\nAnswer: -1611\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*sqrt(418) - sqrt(418))\/sqrt(11))\/(sqrt(128) + sqrt(128) + -1*sqrt(128)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -0.1285.\nAnswer: 0.3855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18260 and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5715?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/2533 (c) -0.012 (d) -0.068 (e) -1\/3 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1591530558 to the nearest integer?\nAnswer: 39894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 122221378 to the power of 1\/2, to the nearest integer?\nAnswer: 11055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30415 + 130?\nAnswer: 30545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*l + 13*l - 28*l + 504 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*j - s + 3 = -906*j, -4*j + 5*s + 57 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 144312 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-84)\/(-490))\/((-6)\/20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*d - 10, -4*d = -5*i - d + 18. Let p be (i - 3)\/(-3) - -1. What is the first derivative of 3 - 5 + p*n**2 - 2*n**2 - 1 wrt n?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m + 96 - 348. Let s be ((-1)\/2)\/(m\/16). Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/20 + 7*l**3\/6 - 3*l**2. Let w(d) = 4*d**2 + 11. Let z(v) = 8*g(v) - 5*w(v). Find the first derivative of z(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-29\/2)\/z)\/(z\/((z*z**(2\/19))\/z)) assuming z is positive.\nAnswer: z**(-623\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-60))\/((-6)\/4)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 + 0.25. Suppose -k + 0*o - 5*o + 211 = 0, -3*k + 709 = -4*o. Let c = k - 3004\/13. What is the biggest value in n, -0.1, c, -1\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5108168547?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 101*m**3 - 4*m**2 + 2*m - 2. Let p(x) = -404*x**3 + 18*x**2 - 9*x + 9. Calculate 18*j(h) + 4*p(h).\nAnswer: 202*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -11.998. What is a rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/19600 and -109\/3251150.\nAnswer: 26009200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0932 and -38.\nAnswer: -3.5416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 10*m. Let s be h(-6). Let u = s - -24. Let j be 0 + (-11 - -2)\/(-3) + u. Solve -d = j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-p**3 + 0*p + 0*p + (3*p**2 - 2*p + 2*p)*(2 - 2 - 12*p)).\nAnswer: -74*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416443448 to the power of 1\/2, to the nearest integer?\nAnswer: 20407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**6*s + 1566*h**4*s + 3*h**2*s + 2*h**2 + 1616*s wrt h?\nAnswer: 240*h**3*s + 37584*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -28, -3, 2, -1 in increasing order.\nAnswer: -28, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*((-20)\/(-5))\/(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1363048, -1363041, -1363030, -1363015, -1362996, -1362973?\n\"Answer: 2*t**2 + t - 1363051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/48 + 1212\/(-1632). Is -1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4029 is divided by 4017.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 26*v**2 + 7*v + 47. What is j(-26)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5728\/54 + 27*(-96)\/34992.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 9 = -0*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (5 - (-3 + 6 - 0))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86687, -170814, -254943, -339074, -423207, -507342, -591479?\n\"Answer: -d**2 - 84124*d - 2562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 1\/3 (c) 7 (d) -247 (e) -307\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 smaller than -361\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (2 + (1 + -3 - 1)). Let k be 12 + (-4 - (0 + -2)) + s. Suppose k*u - 14*u = -192. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42 - -2*5\/(-10). What is the highest common factor of 82 and f?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 55*y - 50*y + l, -15 = 2*y - 5*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7863*z - 7872*z = 90 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86d + -27?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*s**2*v**2 + 896*s**2 - 99*v**2 + 4 wrt v.\nAnswer: -8*s**2*v - 198*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -228.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 3*q**2\/2 + 30*q + 16. Let d be t(-9). Solve 0 = 2*a - 5 + d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128480 = -6*n - 5*n. Let v = -4647 + n. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 3*w + w)*((2 + 1 - 5)*(-1 - 2*w + 1) - w + 2*w + 2*w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522519.\nAnswer: 359, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13243 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -27*c - 393. What is r(-21)?\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = -9*k + 13*k. Let a be (-135)\/k + (-2)\/8. Suppose 2*u - 5*r - 10 = -4, 8 = a*r. Calculate the remainder when 44 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/7))**22*(o**(-1\/5)\/o)\/(o**(-2)*o) assuming o is positive.\nAnswer: o**(-227\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -3. Let v = 6 + j. Let l(c) = -5*c**2 - 4*c - 4. Let a be l(v). Round a to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -245*d + 245*d - 1 - 5*d**2 + 584*d**3.\nAnswer: 584*d**3 - 5*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -46\/3 (b) -1.8 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-7) + -2 + 171\/(-63). Let d(b) = b**3 + 4*b**2 + 5*b + 3. Calculate d(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 16)*(-3*r + 3*r - r).\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21 in 18727, 0, -5, -2\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4044 + -114502415?\nAnswer: -114502410.5956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 12:13 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 2*d**2 - 1. Let o be x(-1). Let z be (-12)\/(-2) + o*-1. Solve -2 = z*w + 2*q, -4*w + 3*q = q - 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**5\/20 - b**4\/3 - b**3\/3 + 5*b**2\/2 + b. Suppose -4*g = -15 + 3. Suppose 2*c - g = 5. Give x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39743\/12 - -3300. Calculate the common denominator of c and -125\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18a3 - -2b?\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 960 + 958. List the prime factors of l.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5997.201 years?\nAnswer: 5.997201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 4*t + 2349*t**3 - 2347*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16187 + -16186. Which is the nearest to 7\/3? (a) -4 (b) 0.25 (c) 0.1 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172706 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -4\/7, -4, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12703 + -12702. Let c = -1\/154 + -1531\/1386. Sort k, -0.03, c, -3\/5 in descending order.\nAnswer: k, -0.03, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.369314914 to three dps.\nAnswer: -3.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 68, 34, 0, -34?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 4*b - 2. Let s be (127 - 119)*(-1)\/(-4)*-87. Let p = 176 + s. What is f(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(600) - (-3*-2*sqrt(600) + sqrt(600) + sqrt(600) - sqrt(600))) + 2*sqrt(600)*-5)*-6)\/((sqrt(48)\/sqrt(72))\/sqrt(3)*-4*3).\nAnswer: -240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 11, 80, 221, 458, 815, 1316, 1985?\nAnswer: 2846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4410.65 and -2326163.8.\nAnswer: -2330574.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 31, -1, -0.58?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(1088) + -3*sqrt(1088)*2)*2.\nAnswer: 5 + 480*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -422, -424, -426?\nAnswer: -428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2103 divide 90579280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*d = -5*f + 27, -3*d = -3*f + 18. Suppose f*x = 45 + 3. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in seconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13505 is divided by 2208?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 5*x + 6. Let m be u(4). Suppose -5*r + 18 = -2*r. What is the highest common divisor of m and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, h: 3, u: 3, n: 6}. Give prob of sequence nz.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*d*v - 2329899*d - 189*v + 2536040 wrt d.\nAnswer: 7*v - 2329899","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2389? (a) -1.7 (b) 2\/9 (c) 3 (d) 2\/11 (e) -7\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5}. Give prob of picking 4 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52849580.\nAnswer: 2, 5, 7, 43, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 41164696 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10716573 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + -2. Let a = d - 9. List the prime factors of (-2)\/5 - (-5)\/a*-514.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -71\/10 - -38\/5. Let r(m) be the first derivative of n*m**2 - 5*m + 4 + 1\/3*m**3. What is r(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 19. Suppose 24 = m + u*m. What is the lowest common multiple of 2 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2538 and 133\/4518.\nAnswer: 637038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38604090*x**2 + 8630549?\nAnswer: -77208180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2217302 to the nearest integer?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*a + 27, 3*c - 3*a = 45. Solve 0 = -4*w - c*v + 18*v, 4*v = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8815 + 501*k - 8815 + 985*k in the form g*k + a and give g.\nAnswer: 1486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 5*m**5 - 105*m**4\/2 - 25*m**3 + 340*m**2 - 420*m + 2123. What is z in b(z) = 0?\nAnswer: -2, 1, 42\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -71. Suppose 0 = -0*w + 5*w - z. What is the second derivative of 14*g**2 - g**2 + 5*g**w + 21*g - 6*g**2 wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -23*i**2\/2 + 1. Let l be p(-3). Suppose -2*u - u = -l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.04809 - -0.04809. Which is the nearest to i? (a) -182 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -8*x + 42 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 75504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 276\/5 or 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52263004 is divided by 157?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.89999963 - 6.9. Round l to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421.39855 rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22745 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: In base 9, what is -46 + 18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - (-3)\/(-7))\/(-2). Let t = 48 + -23. Let w = -21 + t. What is the third biggest value in 2\/9, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-16)\/90)\/(6668\/8335))\/(1\/39).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -3*v. Let q = v + 58. Is 20 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 + 6*b + 10. Let m be n(-5). Let l = 8 - m. Suppose -4*p - 570 = -l*x - p, 5*x + 3*p = 910. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8318964529957 - -15\nAnswer: 8318964529972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157195?\nAnswer: 5, 149, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -9 - 81\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 45 - 35 = 0. Calculate the highest common factor of 144 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1220 (base 7) to base 4\nAnswer: 13013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -8, -5*j - 5 + 24 = 3*m. Suppose 4*g = h + m*h + 52, -3*g = 5*h - 47. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -578*a - 586*a + 1164*a - 24*a**2.\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9005*-192\nAnswer: 1728960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*c**3*k**3 + 9*c**3*k - 3*c**3 + 2*c**2*k**3 - 2940*c*k**3 wrt c?\nAnswer: 666*k**3 + 54*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16494 divided by 16494.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-256)\/8)\/8)\/((-8)\/3)*9.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/20 - f**4\/2 + 5*f**3\/2 - 16*f**2. Solve g(c) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38412 and 20952.\nAnswer: 230472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1475, -5617, -12527, -22199, -34627?\n\"Answer: z**3 - 1390*z**2 + 21*z - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -7. Let i = -117.9 - -2.4. Let b = 115 + i. Sort r, -2, -4\/3, b in decreasing order.\nAnswer: b, -4\/3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -153, -305, -455, -603, -749, -893, -1035?\n\"Answer: p**2 - 155*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2271 or -2253?\nAnswer: -2271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -13. Let z(b) = 7. Let m(o) = 6*u(o) + 11*z(o). Let w(s) = 2*s + 4. Suppose -3*y - 9 = -0*y. Suppose 2*v - 7*v - 5 = 0. Calculate v*w(g) + y*m(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -4\/3 (c) 16 (d) -2\/17 (e) -1\/40 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263.737 + -264. Let z = q + 0.063. Which is smaller: z or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**4 - 37348*w**3 + 307849*w**2 wrt w?\nAnswer: -96*w - 224088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -36?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 259 divide 1156176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 526, 539, 576, 649, 770?\nAnswer: 951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, s: 3, l: 1, k: 3}. What is prob of picking 2 k and 1 l?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -11. Calculate the greatest common divisor of 108 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = 12893 + 19762. Calculate the remainder when z is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(88) + sqrt(88) + sqrt(88))\/(sqrt(200) + 2*sqrt(200)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 + 5 = 0, -y - 5*h = 0. Let n = 6 - y. Solve -1 = -2*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -4*r**3\/3 + 164. Let u(p) = -p**2 + 4*p**2 + 2*p**2. Give x(u(o)).\nAnswer: -100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*j + 2, 7*v + 5*j + 5 = 2*v. Suppose v = 10*b - 13*b. Let w(d) = -2*d**2 + d. Let l be w(1). Is b smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 3*z**2 + 4*z**3 + 4*z**2 in the form a*z**2 + o*z**3 + s*z + d and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 46630391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11785957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 818 and 114.\nAnswer: 46626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*p**2)*(4*p**2 + 0*p**2 - 5*p**2) + 56*p + 1 + 40979*p**2 - 55*p - 42663*p**2 + 3*p**4.\nAnswer: 5*p**4 - 1684*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**3 - 7*f + 13*f - 137 + 141 - 5*f**2 - 5*f**3 + 2*f**2 to g*f**2 + j*f + o + d*f**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(-3) - 572\/(-12). Let k be (-12)\/c - 17\/(-4). Suppose 0 = k*t + u - 438, -4*u - 224 = -2*t - 2*u. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 8 (b) 0.15 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920)*-5 + (sqrt(55) - sqrt(55)*3*-6))\/((-4*sqrt(1100))\/(sqrt(400)\/sqrt(4))).\nAnswer: 41*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*x - 2, -4*d = 4*x - 0*d + 4. Suppose 0 = -72*z + 211 - 67. Let w be (-1 - x)\/(z\/4). Solve 0*b - b + 4 = -3*m, 3*m = -b + w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 24. Let n be l(11). Suppose 574 = n*x - 7*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = 4*g + 43. Let u = 244 + g. What is the units digit of (-1)\/(-5) + u\/5 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 + -48. Let i be -2 - (-5)\/(10\/4). Solve i*q = 4*s + x*q - 9, -5*s - 4*q + 12 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17371 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - sqrt(384)*3) + sqrt(384) + sqrt(6))\/(sqrt(18)\/(sqrt(18)\/sqrt(3))) + (2*sqrt(1400))\/((1*sqrt(7) + sqrt(7) + sqrt(7))*-3 - sqrt(7)).\nAnswer: -9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 5 + -3 - (-98 + 106 + -13 + -1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12415 is divided by 155.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 90*y. Let s(g) = 49*g. Let f(n) = 6*r(n) - 11*s(n). Let d(a) be the second derivative of 0 + 0*a**2 - 2\/3*a**3 + a. Give f(d(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/10*(0 - -5*(-20)\/175).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 205 + -200. Which is the third smallest value? (a) -0.2 (b) 3\/2 (c) -5 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.8 - 8.7. Let b = -0.1 + q. Let x = -5.4 - b. Put x, 2\/9, 3 in descending order.\nAnswer: 3, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76177 and 4.\nAnswer: 304708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1158 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*t - 1\/3*t**2 + 19\/3.\nAnswer: -(t - 1)*(t + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -21*p**2 + 44*p - 74. Let b(z) = 7*z**2 - 16*z + 25. Determine 11*b(o) + 4*v(o).\nAnswer: -7*o**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.92 - 6.92. Sort -1, r, 15, -1\/6, 1 in descending order.\nAnswer: r, 15, 1, -1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a litre in millilitres?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2281 (base 10) in base 2?\nAnswer: -100011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12602 = 719*n - 14047 + 59684 for n.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 3:10 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278354669 is divided by 503.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 6*u - 1. Let b be (-24)\/2*2\/4. Let r be d(b). Let y be (r\/(-2))\/(1\/10). Solve -y = -4*p - 2*f + 9, 4*f = -4*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -14*x**2 + 111*x - 324. Calculate k(3).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + 16 - (-3)\/9*0. Suppose -2*a = -6*a + y. Solve 2 - 8 = -a*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + 6*u - 2. Let z be h(5). Suppose 61 = z*c - 4*m, -5*c = m + m - 67. Let t be (-2219999 + -1)\/((-3)\/c). Round t to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*m + 2*b, -m + 3*b - 8*b + 10 = 0. Suppose -5*d + 35 = m. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 2040*k**2 + 4*k + 2044*k**2.\nAnswer: 4*k**2 + 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7*0.0562\nAnswer: 0.3934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1148 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1250 - 753 + 169)*(-2*c**3 + 3*c**3 - 3*c**3)*(3*c + c**2 - c + 2*c).\nAnswer: 3668*c**5 + 14672*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 - 570*p - 12375 = 0. Calculate p.\nAnswer: -165, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 25*b**2 - 5\/24*b**6 + 1\/14*b**4 + 0*b + 0 + 4\/21*b**3 - 3\/14*b**5. Determine c so that z(c) = 0.\nAnswer: -2\/5, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 41 = j + 3*j, 3*j + 4*d + 43 = 0. Let l(t) = 14*t - 5. Let w(q) = -15*q + 4. Determine j*w(z) - 4*l(z).\nAnswer: 19*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -5*z + 5 - 17, z = -4*x + 4. Suppose 2*r = -w + 89, w - x*r - r = 94. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1695 - -1694.986. What is the biggest value in 0.04, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -151776 divided by -34\nAnswer: 4464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -10. Suppose -w + 0*l - 1 = 3*l, z*w + l = 3. Solve 0 = -w*k - 3*k - 4*j + 17, 3*k + 3*j = 12 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - -12. Calculate the greatest common divisor of 125 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g + 1. Let k be o(4). Let c = k - -87. What is the remainder when c is divided by (-22)\/(1*1*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -90 - -308. Is (-14)\/((-112)\/24) + v\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 110272 (b) 0.11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -9. Let l = 5 + z. Let t = -2022 - -2022.2. Is l at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1307 or -162?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*g + 8, -16 = 4*n + 2*g - g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -536, -1093, -1650, -2207, -2764?\nAnswer: -3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((3 + -4)*21)\/((-3)\/(-2)). Let i be 6\/16*2 + a\/8. Let h be i\/(-5)*2*(-10)\/(-4). Solve -2*f + h = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/7 - 255*c**3\/7 + 2085*c**2\/7 - 2445*c\/7 - 684 = 0. Calculate c.\nAnswer: -1, 3, 7, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126.9 - -129.9. Are o and 700 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/110 - (-8)\/20. Suppose 0*z + 3 = z. Which is the biggest value? (a) z (b) 1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -8. Suppose k*m + m + 2*w = 28, -m + 38 = 4*w. Suppose -3*v - m = -j - 0*j, -3*j + 6 = 3*v. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 12:17 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.6532 to 1 decimal place.\nAnswer: -39.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19187499?\nAnswer: 3, 6395833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*d + 243*d + 3432 = -173*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3251 (b) 0.147 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9297.854 to the nearest one hundred.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 20*v**2 - 91*v + 134. Calculate m(-7).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -673*k - 2020. Determine z(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -61. What is the greatest common factor of p and 360?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23855 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m + 9 - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 61 (b) 4 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 8. Find the common denominator of (-22)\/4*(-5)\/(-4) and 546\/12 - (4 + q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 520616 and 480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5070 + 5074. Put u, 2\/15, 5, 0.19 in ascending order.\nAnswer: 2\/15, 0.19, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 32*k + 6. Let c be z(-32). Let o = 15 + -29. Let n be (-24)\/o + (-2)\/(-7). Solve -n*y = -2 - c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**3 - m**3 + 0*m**3 + (2 - 2 - 2*m)*(-m + 3*m + 0*m + (4*m - 3*m + 0*m)*(-3 + 0 + 4) - 34562 + 127*m + 34562)*(4*m + 0*m + 0*m).\nAnswer: -1039*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 90*l**2 - 27*l + 1. Let k be s(5). Let z = 517 + k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8056\/1067 or 8?\nAnswer: 8056\/1067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 8*x + 44. Let v be j(-14). Let m = 386 + v. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**3 + 3*u**3 - u**3)*(-3 - 2 + 3 + (4 - 4 - 2)*(0 - 1 - 1) + 3 + 2 - 3).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46167827 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {w: 5, o: 2, i: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17910, -17909, -17904, -17895, -17882, -17865?\nAnswer: -17844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, d: 2}. Give prob of picking 3 x.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7095632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*v = -213 - 83, -5*v = p - 78. Suppose -62 - p = -h. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a century in months?\nAnswer: 34200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 greater than 412?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 4 - (-9 + 3 + 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - a + 17. Suppose 0 = 5*h + p - 3*p - 2, -2*h + 5*p + 5 = 0. What is the remainder when 64\/(3 + -1) - -1 is divided by y(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.379 (b) -2 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.81 + 0.31. Let h be (-2)\/294*489\/(-24). Let s = 2\/147 - h. Which is the biggest value? (a) n (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 6555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 43, 115, 231, 391, 595, 843?\n\"Answer: 22*m**2 + 6*m + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1.3, 2\/37, 4, 24?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1047 + -134?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*(-3)\/2*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*c = -0*c + 80*c + 1062 for c.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1856313391?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 4, -5, -3\/14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3769*w + 1615 + 6708*w**4 - 3769*w wrt w?\nAnswer: 26832*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1696, -6633, -14850, -26341, -41100, -59121?\n\"Answer: b**3 - 1646*b**2 - 6*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -6. Let v = l - 7. Suppose v = 5*q + 2*t - 44 - 12, 31 = 4*q - 3*t. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5810 and 72519258.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -7\/4 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/5 - 4976079*b + 24880394\/5.\nAnswer: (b - 24880394)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:05 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) -9.2 (c) -2 (d) 80\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**4 + 4*x**3 - 4*x**2 - 18. Let z(p) = -19*p**4 - 9*p**3 + 9*p**2 + 35. Let y(w) = 9*s(w) + 4*z(w). What is the first derivative of y(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2672318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, g: 2, m: 4}. What is prob of picking 2 m?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/150*68 + -2. Let p(g) be the first derivative of -m*g**5 + 0*g**2 + 2 + 0*g + 0*g**3 + 1\/9*g**6 + 1\/6*g**4. Factor p(x).\nAnswer: 2*x**3*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26378 and 4205002.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*1*1*sqrt(833)*2)**2.\nAnswer: 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 - j + 2. Suppose 9 = -y + 10. List the prime factors of r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2459?\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8755 = 450*n - 4745 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 - 1 = 0. Let b(h) = -2*h**3 + 36*h + 98. Let l be b(-3). Calculate the greatest common divisor of l and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 80576.3ml?\nAnswer: 80.5763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifty-four fifths of a tonne?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aznnnzfaanannzaznz. Give prob of picking 1 a and 1 z.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1391588126 and -65.3?\nAnswer: 65.4391588126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -649 - -651. Solve 3*v + 0*v = b*a - 3, -2*a = -5*v - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yz when two letters picked without replacement from pkkzyqyzyzz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1389*n - 2. Let w(d) = -4*d. Give -j(a) - w(a).\nAnswer: -1385*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:23 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -108. Let k(l) = -335*l - 340. Let z be k(-1). Let g be ((-4)\/6)\/((-8)\/84). Sort z, m, -2, g in decreasing order.\nAnswer: g, -2, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4*j + o - 377, 4*j - 277 = -9*o. What is the lowest common multiple of j and 94?\nAnswer: 3572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113.567 + -135439126?\nAnswer: -135439012.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 + -74. Suppose 0 = -z - q*z - 6. Let d(j) = -1 + 9*j - 14*j + 6*j**3 + 4*j + j**2. Determine d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-7)\/((-35)\/(-12)). Let g = 219 + -217. Suppose -a = g*a. What is the closest to 1 in a, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1242 - -1292. What is the highest common divisor of h and 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2587101*-2\nAnswer: 5174202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154 and 161856442?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of v**5\/60 - 3*v**2 - 3. Let t(h) be the second derivative of i(h). Let x(p) = -p. What is t(x(s))?\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2816 is divided by 176.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -494 - -496. Solve d + 4 = -5*r, x*d - 2*r = 2*r + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 2*o**2 - o**2)*(2*o - 1 + 1) + (29*o + 29*o + 36*o)*(-4*o**2 - 2*o**2 - 2*o**2).\nAnswer: -754*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - h - h)*(7*h - 46*h - 158*h) to j + d*h + p*h**2 and give p.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 10:48 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*n = -3*n + 110. Let g = 7 + -12. Is 10 a factor of n\/g*(-600)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 2*n + 26, 4*n + 40 = 3*c. Suppose 0 = 5*b - 7*b + c. Factor 0 + 0 + b*h**2 - 2*h**4 + 80*h - 84*h.\nAnswer: -2*h*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2894 + -2878. Solve 0 = -80*i + 88*i + r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1064 and 30244504.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1295 + 25.\nAnswer: 25.1295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40 in -249, -1, -3, 4, -16, 2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 + 1. Let b(m) = m**2 + 2*m + 29. Let q be b(0). Suppose 4*y = -3*h + 11, -2*y - q + 2 = -5*h. What is d(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-4 - -3)*4\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4.20231 * -0.3\nAnswer: 1.260693","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m**2 - 7*m + 5. Let o(i) = -i**2 - 3*i + 3. Let g(h) = -2*b(h) + 5*o(h). Suppose 455*z = -43*z + 1992. Give g(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -5*m**8\/336 + 11*m**7\/21 - 19*m**6\/4 - 40*m**5\/3 + 4895*m**4\/24 - 605*m**3 + 79*m**2 - 4*m - 1. Find k, given that i(k) = 0.\nAnswer: -3, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 2*k**2 - k. Let l be x(1). Find the third derivative of 0*p**2 + 3*p**l + 0*p**5 + 4*p**5 - p**5 wrt p.\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (338\/117)\/13 - 16\/(-9). Let h = 4.8 + -5. Sort l, h, -5, 0.1 in increasing order.\nAnswer: -5, h, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzzp when four letters picked without replacement from {z: 4, p: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158250285 is divided by 217.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**4 - 6 - 11*a**2 + 5 + a**2 as d*a**2 + f*a**4 + n + b*a**3 + p*a and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -322 - -8.39307\nAnswer: -313.60693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2085*m + 300800 = -2035*m. Is 32 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 3*q - 4. Let z be u(-5). Suppose -4*w = -6 - z. Solve -w*p - 4 - 2 = 5*s, 0 = -5*p - 3*s - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100101001 (base 2) in base 6?\nAnswer: 10041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, 4, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/5 (b) -2\/19 (c) 0.1 (d) 1 (e) 0.3 (f) 235.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 11*b + 38)*(-8*b + 21*b + 6*b) - b**2 + 0*b**2 + 2*b**2.\nAnswer: 210*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2830894 divided by -22.\nAnswer: 128677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a week in minutes?\nAnswer: 52416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q - 1 + q - 3*q. Suppose -4*t + 20 = -4*k, 2*k + 2*k - 1 = -3*t. What are the prime factors of m(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/13023568 and -41\/916.\nAnswer: 2982397072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**16)\/h**16*h**(2\/3)\/h*(h\/(h*h**(-9)*h*h))\/h assuming h is positive.\nAnswer: h**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -568, -1287, -2294, -3589?\nAnswer: -5172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -619701\/2168978 - 1\/309854. Let l = 3\/1556 - 12511\/32676. Sort o, l, 1 in descending order.\nAnswer: 1, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 2 + -149 + 72111\/645.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -11. Let r = -6965 - -21119\/3. Let t = r + -72. Which is the second biggest value? (a) j (b) t (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 126. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-105))\/((-9)\/(-150))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6374581597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + -4 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)\/(m*m**(-8\/5))*(m**3)**(3\/5))**(-18) assuming m is positive.\nAnswer: m**(324\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/6 + 4*u**3\/3 - 3*u**2\/2 - 100*u\/3 - 200\/3.\nAnswer: (u - 5)*(u + 4)**2*(u + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2. Let w(v) = -1156*v**2 + 111. Let k(c) = -6*i(c) - 2*w(c). Find the first derivative of k(m) wrt m.\nAnswer: 4624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 185094 by -3.\nAnswer: -61698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.12 + -0.62. What is the closest to -2\/15 in q, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 3*x, 4*x = -0*t + 2*t. Let k(u) = u**3 - 3*u**2 - 5*u + 6. Let j be k(4). Solve 0 = j*o + 3*y + 13, -2*o - 9 = -t*o - y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5950 and 4.\nAnswer: -23800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 723, 2620, 5695, 9954, 15403, 22048, 29895?\nAnswer: 38950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/539 - -27309\/10780. What is the common denominator of h and -4 + 2 - (-102)\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 41 = -2*u + 2*q, -q - 73 = -5*u. Calculate the remainder when 100 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1260 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.3 - 1.4. Let c = -1 + g. Let s(j) = 4*j**3 + j**2 - 1. Let q be s(1). What is the third smallest value in c, -3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 310.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/150)\/(14\/35).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*a - 22*a + 11*a to w + y*a and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (28\/27048*-345)\/(4\/(-7))\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37213 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: Calculate -5 divided by -1250.\nAnswer: 1\/250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 53 and 37252?\nAnswer: 1974356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q. Let m(n) = 111*n**2. What is c(m(f))?\nAnswer: -111*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/38, 1\/10, -2\/11?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*j**3*u + 15*j**3 + 7*j**2*u - 2*j**2 - 279*j - 74*u wrt j?\nAnswer: 564*j*u + 90*j + 14*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18128*o**2 - o**3 - 18138*o**2 + 69 + 36266*o**2.\nAnswer: -o**3 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(3\/4))\/s*s)\/(s*s**(8\/5)) assuming s is positive.\nAnswer: s**(-17\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2. Let j(b) = -34*b - 99. What is k(j(p))?\nAnswer: -1156*p**2 - 6732*p - 9801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/123 and -1\/761616.\nAnswer: 761616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 + -79. Solve n = 3*j + 9, -4*q - 34 = q + 3*j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*b + 24 = -3*c, 5*c = -3*b - 39. Let a = 2 - c. Suppose -l + 5 = 3. Solve 2*n = l - a for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 - 239*i + 6. Let f(w) = w**2 + 4*w - 1. What is a(q) + 6*f(q)?\nAnswer: -q**2 - 215*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 1452243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -1 - 2\/5*l**2 - 1\/15*l**3 - 4\/5*l. Suppose g(h) = 0. Calculate h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14, 1, -1\/3, -0.3, 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 286 + -305. Let m = u - -30. Solve -16 = m*f - 15*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7250 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 4 - 4*a**3 + (a - a + 7*a**2)*(2*a - 4*a + 4*a) to c*a**2 + y*a + n*a**3 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 32\/8) + 1. Let j(m) be the second derivative of -1\/2*m**4 - m**2 + m**3 + 0 + 1\/10*m**5 + h*m. Factor j(n).\nAnswer: 2*(n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 1*sqrt(180))**2*-2 - (sqrt(1620) + -1 + 3)**2.\nAnswer: -2264 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3400054 micrometers in meters?\nAnswer: 0.0000003400054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2005*m**4*x + 16*m**4 + m**3*x + 5*m**3 - 1750*m**2*x + 2*m*x + 360*x - 2 wrt m.\nAnswer: -48120*m*x + 384*m + 6*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - -1502344896442.\nAnswer: 1502344896442.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -30*o - 75. Let l(t) = -14*t + 1. What is -c(w) + 2*l(w)?\nAnswer: 2*w + 77","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + h = -21, -3*t + 3*h = -3. Solve t*b = 4*b - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:14 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yx when two letters picked without replacement from {x: 1, y: 4, o: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1.3846m?\nAnswer: 1384600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*o + 286*o + 3 = 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22966.1 rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (714\/693)\/34*-9\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**4\/4 - 2*a**3 - 4*a**2 - 10*a + 4. Let z be y(-5). Solve b = 3*x - 19, b = -3*x + 16 - z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c + 317. Let m be p(36). Let j(s) = s**2 - 9*s + 9. Let k be j(8). Suppose -b - k = 3, b = q - 9. Sort -5, m, q in descending order.\nAnswer: q, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9707, 19428, 29165, 38918, 48687, 58472, 68273?\n\"Answer: 8*c**2 + 9697*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 4:47 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2750864?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81\/136 + 8\/17. Which is the closest to 2? (a) 2 (b) f (c) 8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by -486.\nAnswer: -85\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95 - 57. Suppose -3*g + 21 = 3*r, 0 = 4*r + 2*g - y + 4. Let o(u) = u**3 - 10*u**2 + 8*u + 4. Is o(r) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4791, -9592, -14405, -19230, -24067, -28916, -33777?\nAnswer: -38650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -9*d + 11 - 1\/3*d**3 - 4*d**2. What is q(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01333369 and -53757?\nAnswer: 53756.98666631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*a + 10 = 0. Suppose -a*j + 30 = -4*o - 4*j, o = j - 9. Calculate the common denominator of 32\/5 and (2\/(-9))\/(o\/68).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11632?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.415 + -19.415. What is the second biggest value in m, -3, -2\/13, 0.2, 7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 48. Let b be h(-12). Suppose 4*z = -m + b, -2*m + 5*m - 2 = 5*z. What is the tens digit of 3*m\/(-8)*-104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 21653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*w)*((-5*w + w + 2*w)*(5 - 4 - 3) - 6*w + 4*w + 0*w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 + 237. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2065 + -2065. What is the nearest to -11 in k, 0.5, 2\/5, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22437559\/11297160 - 2\/156905. What is the common denominator of -43\/48 and l?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82346155?\nAnswer: 5, 71, 231961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l. Let w(z) = 3*z**2 - 656. Calculate w(c(y)).\nAnswer: 27*y**2 - 656","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.029 + -1.971. Let q = -0.1 - 0.9. What is the biggest value in q, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1249 + -1246. Sort 1\/4, b, -3\/2, 3\/2 in ascending order.\nAnswer: -3\/2, 1\/4, 3\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/399 - -260\/1197. Sort -4, w, 5 in descending order.\nAnswer: 5, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 636 (c) 1.5 (d) -0.02 (e) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/24 and -11\/5490.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 519413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 10. Suppose 4*g - 49 = 2*i - y*i, 2*i + 2*g = 32. Let u be ((-10)\/i)\/(4\/(-18)). Solve 2*k - u*k = -4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -6*d - 45. Let j be x(-7). Let v be (-2 + 3)\/(-1*1). Which is the nearest to v? (a) -5 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Let j(y) = -y**3 + 3*y**2 - y. Let w be j(g). Find the third derivative of -w*p**3 - p**2 - 6*p + 6*p wrt p.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99247648 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000000110000110110 (base 2) in base 4?\nAnswer: -31000300312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*j + 373 = 1278 + 823 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 + 4 - 204139*r - 204138*r + 408274*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*s**2 - 11017*s wrt s.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 34464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1743*w**2 + 49*w**2 + 643*w**2.\nAnswer: 2435*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**6\/3 - 2*b**5\/5 - 3*b**4\/2 + 2*b**3\/3 + 2*b**2 + 3434. Determine a so that c(a) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*d. Solve 2*m = -d*a - 3*a + 8, -3*m = 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1363526909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29988288 and 407038?\nAnswer: 9466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m + 9 = 9. Suppose -4*t + 5*j + 79723 = m, 2*t = -t + 5*j + 59786. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obe when three letters picked without replacement from {e: 1, b: 1, o: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + o**2 - 2*o)*(484 + 63 - 203 + 441).\nAnswer: 785*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/6 (b) -3 (c) 0.4 (d) 1.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.26, -24 in increasing order.\nAnswer: -24, -2, -0.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y*((y**(-18)*y)\/y)\/y)\/y)*y)\/y)*y)\/(((y*y**(-30)\/y)\/y)\/y)*(y\/(y*y\/(y\/y**(-19\/4))))\/((y\/((y*y**29*y)\/y)*y)\/y))**(-34) assuming y is positive.\nAnswer: y**(-3247\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1217\/28 - -292\/7. Suppose 0 = -2*u - u. Suppose u = -9*v + 4*v - 5. Is f at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 1:24 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 8:43 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8969 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 61770851?\nAnswer: -61770845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**2\/2 - 8*y + 2. Let n be s(0). What is the units digit of (n\/(-10))\/((-1)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 0.4, -3\/11 in decreasing order.\nAnswer: 0.4, -1\/5, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -804.9 + 804.95. What is the fourth biggest value in 1\/4, 17, j, 11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -2593.\nAnswer: -3\/2593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94925\/1224 + -1304\/17. What is the common denominator of v and -103\/132?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4*o = 8, 55640*i - 30 = 55645*i - 15*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 198 = -2*g. Let h = -83 + g. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + 0 + (sqrt(7) - sqrt(28)) - (2 + sqrt(112)).\nAnswer: -4*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 3*d + 2*d + 19, -5*d - 3*l = 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = -0. What is the units digit of (0\/(-1) - -3) + y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000101 (base 2) in base 16?\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5))**33\/(z*(z\/(z**0*z))\/z)**(-4)*(z\/(z\/(z\/z**2))*z)**(13\/2)*z**1\/((z\/z**(-7))\/z*z*z) assuming z is positive.\nAnswer: z**(-106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17062?\nAnswer: 2, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -104204\/2277 greater than -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 0.2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78110*-2426.\nAnswer: 189494860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**3 - 324*h**2 - 330*h + 5. Let j(k) = -k**3 + 3*k**2 + 2*k + 1. Let v(u) = d(u) - 5*j(u). Factor v(o).\nAnswer: o*(o - 340)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 50, 203, 472, 869, 1406, 2095, 2948, 3977?\n\"Answer: 2*h**3 + 46*h**2 + h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134880.\nAnswer: 2, 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/(322\/(-3381))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - (-45448)\/4546 - 3*1. Is 1 >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 10*g**2 - 5*g + 55. Is c(16) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2921644514?\nAnswer: 2, 17, 85930721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - c**2 - 4*c. Calculate t(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -3) + (-36 - -31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*d - 39*d + 17*d + 10*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -245135, -245371, -245967, -247103, -248959?\n\"Answer: -30*a**3 - 26*a - 245079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppoppoppppp. What is prob of sequence oppo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30926383 and 62731.\nAnswer: 30926383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 20*u**2 + 1370*u - 19*u**2 + 3053*u - 2 - 6 in the form s*u**2 + k*u + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 10:44 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*r + 88*r - l - 62, -14*l + 6 = -r - 4*l - 7*l for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*i**2 + 95*i**2 - 18 + 563*i**2 - 3 + 21.\nAnswer: 533*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12704 + 2?\nAnswer: 12706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -86511*u**3 + 97*u**2 + 97*u - 2. Is q(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/20*(1 + 9). Let q be 6 + -19*s\/(-15). Which is the nearest to q? (a) -21 (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8621981 and 790.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(2) + 6*sqrt(10)\/sqrt(5))**2.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -52.5. Let u = 4.3 - 0.3. Which is the biggest value? (a) u (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1905435 divided by 13.\nAnswer: 1905435\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2400 (base 7) to base 13.\nAnswer: 52b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530600 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 17*n**2 + 12. Let b be f(18). Let t = b + 502. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3504 rounded to two decimal places?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**5))**(-16\/3)*(d*d**(1\/11)*d)\/(d*d*d*d**(-13)) assuming d is positive.\nAnswer: d**(1279\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 2. Let d be v(2). Let j(m) = -5*m - 2*m + 0*m**2 - m**d. What is the units digit of j(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = 4*f - 98. Suppose f = 4*t - 14. Suppose t = 2*b - 0. Calculate the highest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 6142148.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 7:06 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1672*s - 7007 - 1353 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.4892+768\nAnswer: 766.5108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -79276, -77450, -75586, -73666, -71672?\n\"Answer: 3*h**3 + h**2 + 1802*h - 81082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272518 is divided by 74.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 11*s = 7*s + 5*s - 2080 for s.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 0.5 (b) 0.4 (c) -9\/40 (d) 5 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -428, -1802, -4048, -7130, -11012, -15658, -21032, -27098?\n\"Answer: 6*i**3 - 472*i**2 + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 8\/3*p**3 + 1\/4*p**4 + 11*p + 12 - 4*p**2. Give f(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 457\/8, 1 in ascending order.\nAnswer: 0.7, 1, 457\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -6*x**2 + 4*x. Let r(n) = -100*n**2 + 70*n. Let p(c) = 2*r(c) - 35*u(c). Let t(m) = -16*m**2. Give p(t(s)).\nAnswer: 2560*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microsecond in nanoseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 34713.58 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 4889.009523 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 54*j + 35*j + 46*j - 119*j. Let p(d) = -134*d**2. Calculate p(v(r)).\nAnswer: -34304*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-20)\/(-25))\/((-16)\/(-40)). Let s(w) = -149*w**2 - 151*w**t + 301*w**2. Let d(f) = 30*f**2. Determine d(s(y)).\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-4)*(-2)\/42.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2. Let k(w) be the second derivative of -23*w**4\/12 + w**3\/2 + 75*w - 1. Give k(f(i)).\nAnswer: -23*i**4 - 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85536045 and 596070?\nAnswer: 171072090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2607 - -6446. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mo when two letters picked without replacement from {o: 1, m: 1, q: 1, x: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9 + 9 + 2 + 5 + 20*w**2. List the prime factors of j(-2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3919 - 979 = 42*u. Solve -72*c + u*c = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - ((-8 - 12) + 35).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16035, -16020, -16005, -15990?\n\"Answer: 15*v - 16050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7005 and -0.12.\nAnswer: -840.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673240029*z**2 + 673240050*z**2 - 1346480077*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(2299) + 1)**2 + -4.\nAnswer: -88*sqrt(19) + 2311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2245, -9345, -21169, -37705, -58941, -84865, -115465?\n\"Answer: 2*k**3 - 2374*k**2 + 8*k + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 70309 in decreasing order.\nAnswer: 70309, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and 44\/4815?\nAnswer: 38520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(153) + -2)**2.\nAnswer: -36*sqrt(17) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2359 or 2358?\nAnswer: 2359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 3*o - 24, -3*z + 7*o - 13 = 6*o for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3487*x + 74 + 26408 = -711*x - 6830 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.827 - -0.827. What is the third smallest value in -2\/683, w, -2.4, -2\/17?\nAnswer: -2\/683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 + 5674*o**2 - 46 - 5689*o**2 as v + d*o**2 + f*o and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 7 - (-1862)\/798*(6 + 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x - 29*x - 40*x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17196493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42123392 to the nearest integer?\nAnswer: 6490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21453 (base 7) to base 9\nAnswer: -7336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10028 and 7498?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -288186569\nAnswer: 6\/288186569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-15)*(-30)\/9*81\/108\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.21672+-5\nAnswer: -5.21672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -421846.659 + 421455. Let c = o - -391. What is c rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4414201*q**4\/2 + 4422605*q**3 + 4447833*q**2\/2 + 8420*q + 8 = 0 for q.\nAnswer: -1, -4\/2101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41.7037 - 0.0963. What is the smallest value in i, 2\/15, 2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*n + y + 4 = 0, 3*n + y - 4 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of 1\/60*c**6 + 0*c**5 + 1\/24*c**4 + 0*c + 5*c**2 + 0 + 0*c**3. Find the second derivative of r(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 27567.\nAnswer: 55134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p + 3*p**2 + 8*p - 23*p - 2*p**2.\nAnswer: p**2 - 41*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-19 + 2 - (-16 + 8)) - -8\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1165924380 to the nearest integer?\nAnswer: 34146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 6:13 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -337693024 divided by 4\nAnswer: -84423256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {x: 1, h: 2, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) + (-44)\/(-8). Suppose 0 = 5*q - 3*q - r. Let k be 1\/q + (-4)\/(-8). Solve -l + 2 + k = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5378868, -10757752, -16136636?\nAnswer: -21515520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152683423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 2}. What is prob of sequence oooo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = x - f, f + 4 = 574*x + 568*x - 1145*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*h**2 + 10*h**2 + 23*h**2 + 9*h**2 to g + n*h**2 + z*h and give n.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -17*c**2 + 7*c - 3. Let m(v) = 6*v**2 - 2*v + 1. Calculate -8*m(d) - 3*z(d).\nAnswer: 3*d**2 - 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56225613*c**2*n**4 - c**2*n**2 - c**2*n - 23898*c**2 - 12*n**4 + 452*n**2 wrt n.\nAnswer: -1349414712*c**2*n - 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -806, -822, -842, -866, -894?\n\"Answer: -2*j**2 - 10*j - 794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38983 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-5)*2\/(1\/((-4)\/8*-1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 12*z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(68)) + -1.\nAnswer: -5 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4 = i, 4 = 17*i - 16*i + 5*f for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0 + 4*d**2 - 3\/2*d**3 + 2*d. Let k be w(6). Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**2\/4 + 10911*b\/4 + 353248 = 0.\nAnswer: -128, 11039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (11 - 6) + -6 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 p when two letters picked without replacement from mngnpnwvpwwm.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 510*v - 6277. What is a(-242)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3003*21\nAnswer: -63063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*w + 626 - 626)*(-4 + 1 - 1)*(1 - 1 - w).\nAnswer: 80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 695 and 84860.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -405, -0.02, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294 - -503. Suppose 80 - g = -3*q. Calculate the remainder when q is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 11 - 1187 = 0. Suppose -v + 14 = l, 17 + 41 = 4*l + 5*v. Calculate the lowest common multiple of l and d.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48\/11 in 0.3, 30, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370692 and 3276.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/198*11988\/(-90)*-10*1\/(-4)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -29. Suppose 2*v - 4*z = 6*v - 4, -5*z - 55 = -a*v. What is the least common multiple of v and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. What is the nearest to 2\/7 in r, -2\/9, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a + 2037?\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.00916\nAnswer: 0.02748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 616*b - 613*b + 0*b**3 - 2*b**3 - 5 as c*b**3 + j + q*b**2 + t*b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20221, 22053, 25107, 29383, 34881, 41601, 49543?\nAnswer: 58707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 6:30 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*l + g = -7, l + 2*g = -12. Let z be (-1)\/(1\/(-3)) + -5. Is l bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 2*l**2 - 3*l - 43. Let f be o(0). Put -0.01, f, 2 in increasing order.\nAnswer: f, -0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a factor of 27834763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6377*b - 6*b**5 + 151*b**3 - 6368*b - 3*b**5 - 32 wrt b?\nAnswer: -180*b**3 + 906*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2, 5*g + 374069 = -3*x + 1147443. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(22) + sqrt(22) + 6*-1*sqrt(22))\/(sqrt(18)*3)*4.\nAnswer: -16*sqrt(11)\/9 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 1509510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5795495 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 543*i**2 + 65*i - 4 wrt i.\nAnswer: 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 21*t + 1. Let l(f) = 6*f**3 - 42*f + 1. What is l(d) - 2*o(d)?\nAnswer: 8*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 66194376*z**3 + 2*z**2 + 2*z + 115182701 wrt z?\nAnswer: 397166256*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000065477 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 z when four letters picked without replacement from fzzfofcfofff.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 546 divide 1622712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, i: 3}. What is prob of picking 1 l and 2 i?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 177 = -4*u - 153, -4*b - 29 = -3*u for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -9*o + 30. Is o less than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1243960748?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5838 + 5825. Let o = 8 - 5. Sort o, i, 2, -2.\nAnswer: i, -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a - 3. Let k(b) = -9*b + 5. Let s(g) = -4*k(g) - 7*z(g). Suppose -3*j - 4*f = 7, j + 0*j + f = -2. Determine s(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*((i*(i*i**(-7\/5))\/i*i)\/i)\/i)\/i)\/i**1*(i\/((i**(-1\/4)*i)\/i)*i)**(-2\/51) assuming i is positive.\nAnswer: i**(-253\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4369.\nAnswer: 17, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14013 and 3429.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/20425 and -47\/714058.\nAnswer: 17851450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 106 + 0 + 420 + -525?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 6. Let p(g) = 2*g**2 - 725*g - 25. Let q(y) = -y**2 + 396*y + 13. Let s(c) = -6*p(c) - 11*q(c). What is 3*b(t) - 2*s(t)?\nAnswer: 2*t**2 - 6*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 123 = 9656*w - 9650*w, -5*x + 2*w = -0*w - 193 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293414 is divided by 160.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 7:00 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 3 - -2) + (534 - 525).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 621*y + 43940 = 324*y + 310*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 9*p**2 + 5. Let h(l) = 8*l**2 + 6. Let g = 194 + -189. Give g*h(u) - 6*j(u).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(45\/14))\/(39\/195).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**3 - 4*s**2 + 327*s**4 - 158*s**4 - 167*s**4 + 11*s**2 to a*s**4 + k*s**2 + q + n*s + w*s**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 3*i**3 + 14*i**3 + (i**3 + 2*i - 2*i)*(3 - 3 + 2) - 2*i + 2*i + i**3 - 3*i**2 + i**3 + 3*i**2 + 0*i**2 + 0*i**2 + 2*i**3.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -18*q**2 + 4*q + 11. Let h(a) = -33 + 23*a**2 - 3*a**2 - 3*a - 8*a + 33*a**2. Let t(l) = -4*h(l) - 11*o(l). Differentiate t(g) wrt g.\nAnswer: -28*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from trkrrrtt.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 637408114.\nAnswer: 2, 7, 73, 397, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263106901?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-11)*n**(-1\/2))\/(((n*n\/n**(3\/13))\/n)\/n**(2\/9)))**10 assuming n is positive.\nAnswer: n**(-12925\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 302 + -190. What is the highest common divisor of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -128*i - 61. Let v be x(0). Which is the closest to 1\/3? (a) v (b) 70 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 * 5\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12742305*a**3*b**5 + a**3*b**2 - 934766*b**2 wrt b.\nAnswer: 764538300*a**3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132\/5 + -27. Which is the nearest to -2\/7? (a) 2\/3 (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.642 minus -55555.13?\nAnswer: 55558.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 194. What is the remainder when t is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*z = 128*z + 2504. Let r = z + -285. Is 31 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:27 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -1603*l + 1589*l. Let z(u) = -u**3 + u**2 - 1. Let w(a) = a**3 - 11*a**2 + 9*a - 4. Let t(j) = -w(j) - 2*z(j). Calculate t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20.5 - -17.8. Let m = q + -38. Let k = 1\/14 + 10\/7. Put 4, k, m in decreasing order.\nAnswer: 4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 474, 992, 1512, 2034, 2558, 3084, 3612?\n\"Answer: s**2 + 515*s - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3637145.\nAnswer: 5, 311, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -378, -763, -1150, -1539?\n\"Answer: -k**2 - 382*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 + 67 = 55*a - 88*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 353, 327, 289, 233, 153?\n\"Answer: -g**3 - 19*g + 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(39 + -11)*(0\/(80\/8) + -120)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vop when three letters picked without replacement from {o: 5, p: 2, u: 4, v: 2, y: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004628 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q = -13*q - 1824. Suppose 29*u - 10*u = q. Is u a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16707*p**2 - 1 + 1 - 17810*p**2 to x*p**2 + l*p + r and give x.\nAnswer: -1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d + 10. Let s be t(2). Solve -3*v + 3*c + 2 = v, -2*c = s for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*r - 96 - 187 = 97. What is the smallest value in 199, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide -4 + (24 - (-4 + 2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b. Let y = -221 - -219. Let i(k) = 5*k. Calculate y*i(r) + 5*p(r).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -37, -57, -81?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-5) + 3\/(-15). Let g(i) = 1 + 0*i**2 - 2 + s + i**2 + 5*i. Give g(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1612*b**3*j**2 - 3*b**3*j + b**3 - 3948699*b**2*j + 7*b*j**4 - 1772*j**2 + 2 wrt j.\nAnswer: -3224*b**3 + 84*b*j**2 - 3544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from {s: 10, a: 1, w: 6}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/2*74\/111*18\/15\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 0. Let x = t + 3. What is the biggest value in 0, x, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(495)\/sqrt(11)) + 1)*5 - ((-5 + (3*sqrt(125) - sqrt(125) - sqrt(125)))**2 + 0).\nAnswer: -145 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4588488 and 3880.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 + 12*c + 40*c**2 - 12*c.\nAnswer: 57*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -3*4\/6. Suppose 50*u - 54*u + 36 = 0. What is the highest common divisor of l and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -0.03, -1, -1\/3, -28, 0 in descending order.\nAnswer: 26, 0, -0.03, -1\/3, -1, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 6 (b) 2 (c) 3 (d) 504 (e) 3\/17 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 160 = 162, 4*o + 2 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 1\/2, 226, 3?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 3. Let u(l) = 3*l + 2. What is 5*o(j) + 6*u(j)?\nAnswer: 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35000000 rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 120655*h + 241605*h + 1 + 3*h**2 - 120950*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = r - 5*r. Suppose -5*u = -r*b + 51 + 492, 3 = -u. What is the highest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2714 - 81289\/30. What is the common denominator of g and 19\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/3*((-1140)\/(-75) - 14). Sort -482, b, 0 in increasing order.\nAnswer: -482, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(528) + sqrt(528))\/sqrt(3).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 292, 603, 1034, 1585?\nAnswer: 2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**2 + 39*x - 39*x + 1 to i + o*x + b*x**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**2 - g**2 + 3*g**2)*((3*g - 3*g - 3*g)*(-4 + 2 + 3) + (2 + 0 + 0)*(-3*g + g + 4*g)).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -19, 0.92.\nAnswer: -19, -1\/2, 0.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1397 + -983. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1389 greater than or equal to -642\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 6:20 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 258793*a**4 + 5*a**2 - 2350518*a.\nAnswer: 3105516*a**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -147651*g**5 + 337*g**4 - 760495412*g**2 wrt g.\nAnswer: -8859060*g**2 + 8088*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d + 0*d**2 + 7 + 5\/4*d**4 + 1\/3*d**3. What is the third derivative of k(t) wrt t?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 447659, 895286, 1342891, 1790474?\nAnswer: 2238035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2*z, -5*l = 3*z - 13 + 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*o - 2 = 0, 3*c + 6 = 4*c - 3*o. Let r be (520\/(-50) + 12)*5. Solve r = -c*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 23*v**2 + 5*v. Let u(a) = -11*a**2 - 2*a. Let g(c) = 6*l(c) + 11*u(c). What is the second derivative of g(r) wrt r?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3 + (-1 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4 - 6 + 2 - 3 + 21*j as d + i*j and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21530*k + q + 22 = -21523*k, -3*q = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-5 + -1)) + 4. Let t be (-4)\/6 + 28\/w. Suppose -343 = -t*f - q + 94, 0 = -2*f + 3*q + 201. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 1010000110010111100?\nAnswer: -1010000110010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -11 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crrcrrrrcrsrrrr. What is prob of sequence cs?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1 - (-18)\/9. Suppose 28 = r*f + 2*f. What is the second derivative of -10*i - 2*i**f + 31*i - 6*i**4 wrt i?\nAnswer: -96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 99231 and 330.\nAnswer: 992310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26079.\nAnswer: 3, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-10) + (-110)\/(-25). Let z = 9 + -5. Let o be (-3 + (2 - 2\/6))*-3. Solve 0 = -z*t + 3*n - 15, o*n - 13 = j*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - 38. Let z be 16\/42 + (-5)\/(p\/(-8)). Which is the nearest to -2? (a) z (b) 0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryyy when four letters picked without replacement from yoyryyoryyyyoyyo.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 442314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqqqxqqquqquuqqqqxq. What is prob of sequence xx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 12 + 25*m + 2 - 11.\nAnswer: 25*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1326 + -627. What are the prime factors of y?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/6 + 208\/(-96). Which is the nearest to q? (a) 1 (b) 0.5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2197\/13 - 2\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u + u - 3*u + (-u + 0 + 0)*(1 - 3 + 1) to the form j*u + c and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*o**2 + 24 - 24)*(-4*o**2 + 7*o**2 - o**2).\nAnswer: -14*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrrx when four letters picked without replacement from xaxxxxxxxaxxrxxax?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2d0e?\nAnswer: -2d0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2593 + -54437\/21. Let y = o + -6\/7. Is y not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234.78 - -233. Let q = 2.78 + v. Which is the nearest to q? (a) 5 (b) 4 (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/10 + 12\/(-30). Let a = 3 + t. Suppose -5*u - 26 = -b - b, 5*b + 2*u - 123 = a. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of b**7\/105 + 5*b**4\/8 - 67*b**3\/2 + b**2 + 163*b. Differentiate w(i) wrt i.\nAnswer: 8*i**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*v + 10, 3*v - 6 + 5 = -w. What is the least common multiple of w and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 1 - 17. Suppose -c = 3*t - 4*t. What is the closest to -1 in -3, 1\/10, t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-36\/5))**(-29))**(-3\/2) assuming q is positive.\nAnswer: q**(-1566\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 356\/267*-3*7\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 + z**2 + (0 + 0 - z)*(0*z + 2*z - 9*z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*f, -f = -5*x. Let i(r) = -3*r - 15*r + x - 2*r + 24*r - 4. Determine i(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347 (base 16) in base 6?\nAnswer: 3515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16089360 to the power of 1\/2, to the nearest integer?\nAnswer: 4011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/13696686 or 1?\nAnswer: -19\/13696686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4467753019 and -44.\nAnswer: -4467753063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrurunuuu. What is prob of picking 2 u?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 10:38 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -16. Let h = z - -66. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74 - 1 + 14 + 255*x wrt x.\nAnswer: 255","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -502, 8, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + j**2 - 1. Let q be d(1). Suppose 156*v - 160*v = -480. Suppose q*x - v = x. Round x to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 443297198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + z. Let x(s) = 2*s**2 - 2*s + 1. Let a(w) = -x(w) + 5*y(w). Let k(d) = -6*d**2 + 6*d - 1. Give 5*a(m) - 6*k(m).\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 59 + 3*r**3 + 32.\nAnswer: 3*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -427*g**2. Let i(t) = -85414*t + 42705*t + 42714*t. Determine o(i(l)).\nAnswer: -10675*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1500141493 to the power of 1\/3, to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6476307 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*o + 130 = -194 - 504. Let k(h) = 2*h**2 - 20*h + 1. What is k(o)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14330724, 14330723, 14330722?\n\"Answer: -b + 14330725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - 1 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11491 is divided by 5739?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*s + 1125 + 6869 + 4*s**2 - 2*s**2 + 0*s**2.\nAnswer: 2*s**2 + 17*s + 7994","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -368*f**2*q*t + 59*f**2 + 4*q**4*t + q*t**2 - 72*t**2 wrt q.\nAnswer: -368*f**2*t + 16*q**3*t + t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/220 and 115\/10758.\nAnswer: 107580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*v + 44 = -v, -v = -4*x + 31. Suppose -x*y = -3*y - 16. Solve -4*n - 5*p = 28, y*n + p + 20 = -2*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = w - 0*r + 3, w = 2*r. Let b be w - (-12)\/(-5) - (-118)\/70. Let t = -0.98 + -0.02. Put 2, b, t in decreasing order.\nAnswer: 2, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + 9*w + (4 - 3 - 2)*(-w + 2*w - 3*w) + 3*w - 2*w + 0*w + 3 - 3 + w in the form z + l*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 165704 at most as big as 165693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 15 = -6*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 614 + -346. What are the prime factors of r?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21299524 is divided by 4748.\nAnswer: 4744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by 10?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3632 = -66*t + 3434 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(70\/(-8)))\/(570\/(-31350)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3.6 (c) -0.28 (d) 0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b8 + 53?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.605 - -0.135. Let d = -6.77 - g. What is the third biggest value in -2, -1.1, d, 0.5?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + 17. Let c(h) = 4*h**2 + 8*h + 2. Let l be c(-5). Let x = q - l. What is the highest common divisor of 147 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, o: 3, l: 5, s: 2, r: 2}. What is prob of sequence qolo?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1873\/153 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46432451.\nAnswer: 13, 29, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-6))\/(12\/(-720)). Suppose 60 = 5*j - z. Calculate the greatest common divisor of j and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/472 and -57\/18460?\nAnswer: 2178280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*s*x**2 - 7*s*x - 3*s - 3*x**2 + 12*x wrt x?\nAnswer: -30*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13954, -27747, -41540, -55333, -69126, -82919?\n\"Answer: -13793*q - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4222*w + 17258. Calculate m(4).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdddrd. What is prob of sequence rddd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202 + 21?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 + 76. Let d = 1.75 + j. Round d to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 379694181 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**2 - 97*k - 126. Let b(a) = 150*a + 2. Determine b(j(x)).\nAnswer: 300*x**2 - 14550*x - 18898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5041, -5043, -5045, -5047?\n\"Answer: -2*s - 5039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 + a**4\/24 + a**3\/3 - 5*a**2. Calculate the remainder when q(3) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2699328 rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/6*(-174)\/(-4). Let n = -71 + g. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/84 and -73\/70?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 221 = -200. Suppose 4*o = -3*r + 54, o + 10 = r - 1. Suppose -f = -3*t + 7*t - r, s*t - 87 = -3*f. What is the highest common divisor of 85 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 461.273873 and 1631.\nAnswer: 2092.273873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 655*o - 894. Let c be l(3). Calculate the greatest common divisor of 72 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, q: 2, p: 6}. What is prob of picking 2 t?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 358793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 144227129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 11*f + 1. Let h be t(-9). Suppose 3*y = v + h, -4*v - 15 = y + v. Is (-3 - (-13)\/y) + 1947\/5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b*g*u**2 + b*g*u + 10*b*g - b*u**2 - 2*g*u**4 - u + 5 wrt u.\nAnswer: -18*b*g - 2*b - 24*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(3 - -1 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -17 - 8, 2*i = 4*y + 30. Let f be (-2)\/3*(-9)\/(-3). Let k = f + i. Which is the nearest to -0.1? (a) 1\/4 (b) k (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(9\/(-437706)))\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {o: 1, x: 1, d: 1, u: 2, e: 1, p: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-8)*g*g*g)*g)*g**(-15))\/(g**(2\/5))**(-50) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 - 22*s**2 + 52*s.\nAnswer: -2*s*(s - 2)*(s + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 310, 309, 308?\n\"Answer: -c + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 2 - (1 - ((2 - -10) + -31 - 70))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 3*n - 77*n**2 + 93*n**2 to the form b + d*n + z*n**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:50 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-60) - (-160)\/(-75))*1\/(-25)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f - 1. Let c be w(-7). Let d = 8 - c. Let s(r) = r**2 - 2*r + 1. Let b be s(d). Solve -3 = q - b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-8)\/((-72)\/(-9)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) 3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 55, -3\/14, 1\/10, 3\/4, -1?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/(-22))\/((-2)\/76). Let d = g - -31. Suppose 0 - 4 = -2*o - 4*t, d = -4*t. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:53 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-7)*x**(-2))\/(x\/x**1)**10 assuming x is positive.\nAnswer: x**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 85756\/455 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -28*c**2 + 16*c - 12. Let o(p) = -10*p**2 + 5*p - 4. What is 3*h(i) - 10*o(i)?\nAnswer: 16*i**2 - 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-108)\/(-7) - (-103 + -117)\/(-44) - 13?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from -10915484499418.\nAnswer: -10915484499417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**1)**(4\/7)*(f*f\/((f\/(f**(-2\/11)\/f)*f)\/f))\/(f*f**(-1\/2)) assuming f is positive.\nAnswer: f**(71\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-59 - 546\/(-26))\/(8 + -10)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.05 + -10. Let l = -0.45 - g. Round l to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2513*x - 632*x + 4136*x in the form f + a*x and give a.\nAnswer: 6017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-44 - (2 + -3)). Let r = n - 40. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2118)\/186)\/((-221)\/(-1)). Let m = b - 10\/221. Let j(w) = w**2 + 3*w + 1. Let k be j(-3). Is m less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -17. Suppose h*t + 16 = 0, -w + 4*t + 36 = -0*w. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2\/21, -38, -17\/7 in ascending order.\nAnswer: -38, -13, -17\/7, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 106, 0, -2.9, 1 in increasing order.\nAnswer: -4, -2.9, 0, 1, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3810627 and 0.39.\nAnswer: 0.148614453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.41378096 + -1892.\nAnswer: -1892.41378096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 172*n**2 + 165*n**2 - 2*n + n**3 - 331*n**2 + 39*n**4 as p*n**2 + x*n**4 + w + d*n**3 + z*n and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -533 - 21?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - d + 272 = 0, 218*c - 272 = 216*c + 3*d. Calculate the remainder when c is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901.9698 millennia in years?\nAnswer: 901969.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 + 5*s**3 - 6*s**3)*(-7*s + 9*s + 17*s).\nAnswer: 19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2 + 8 = 0. Let l(y) = -4 + y**3 + 7*y + 11*y**v + 7*y - 24*y**2 + 0*y**3. Does 20 divide l(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.308 and 3.37644.\nAnswer: 3.06844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-0.1\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 127, 14, -2, 5 in descending order.\nAnswer: 127, 14, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -524173, -524166, -524153, -524134, -524109?\nAnswer: -524078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrxxrkxqkbrrrbxxk. What is prob of picking 1 q and 1 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**3 + 3*j. Let n(r) = 5*r**3 - r**2 + 4*r. What is 3*a(i) - 2*n(i)?\nAnswer: 2*i**3 + 2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 416?\nAnswer: 31200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, -0.1, 60, -59, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*s - s = 28, -876*j - 263 = -919*j - s for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4492400 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807629051 to the nearest integer?\nAnswer: 28419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 970042 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3118767 and 30.\nAnswer: 31187670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 155 - 22?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175865*q**2 + 60*q - 120*q + 60*q.\nAnswer: -175865*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let m be (-82)\/(q - 4) + 0. Does 6 divide m\/3 - (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 121*o**4\/2 - 550*o**3 - 153*o**2 - 14*o - 336. Let c(i) = 0. What is i?\nAnswer: -1\/11, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33157.\nAnswer: 71, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**4 + 30649661*d**3 - 8570813 wrt d.\nAnswer: 8*d**3 + 91948983*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24)\/42*35\/10. Put -26, z, -5, 0.02 in descending order.\nAnswer: 0.02, z, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 22111188.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g - 7*g + 3*g + (0 - 2*g + 0)*(3 - 1 - 3) + 6*g - 36*g - 5*g + (0*g + g + 0*g)*(-3 - 2 + 3).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -13. Suppose -3*c - 6 - m = 0. Let x(a) = a**3 + 4*a**2 - 3*a - 2. Let j be x(c). Calculate the greatest common factor of 40 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bs when two letters picked without replacement from zzbtzszzkzzz?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/12335 and -37\/240.\nAnswer: 592080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29 + (-27390)\/(-935))*((-8)\/(-52) + 32\/130)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -177 + (-2 + 1)\/((-4)\/(-12)). Let c = 1 - m. Calculate the remainder when c is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 78 - 79. Sort -4\/3, a, 2\/3, -0.5 in ascending order.\nAnswer: -4\/3, a, -0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/4 + (-2)\/4. Suppose 2*k - 15 = -d*k. Let p = 4093 - 94138\/23. Put -0.4, p, k in decreasing order.\nAnswer: k, p, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 232 (b) -146730 (c) 3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1 + (2 + 1 - 2)*(3 - 2 + 1) - 2 + 39 + 40)*(3 - 3*z - 3).\nAnswer: -243*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2208995793.\nAnswer: 3, 17, 37, 191, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/6469417 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*(-60)\/(-1140)*1995.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + (-2)\/(-2). Suppose 5*n - 15 = -5*x, -2*n + x - g = -4*x. Solve -n*m + 15 = 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 1, g: 5, y: 8}. Give prob of picking 4 g.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -110 + 136. Suppose 0 = 4*t - 4, h - t - x = -2*h. Let w = -15 - -30. What is the greatest common divisor of h and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*c + 93, 2*c - 7*c = 5. Let m = f - -63. Differentiate 7*q**2 + 18 + 3*q**2 + 8*q**2 - m*q**2 with respect to q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 0, -111904 in decreasing order.\nAnswer: 0, -24, -111904","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11249*c - 78645. Give x(7).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3948889480 rounded to the nearest one million?\nAnswer: -3949000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77357 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(-9) - 6*2\/54. Let s(x) = 26*x**3 + x - 2. What is the remainder when s(w) is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -1 - 1 + v**2 - 8*v**3 - 7*v**3 + 14*v**3 + v. Determine h(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*t**2 + 2 + 2043*t**4 - 1040*t**4 - 1034*t**4 - 1101*t wrt t?\nAnswer: -372*t**2 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*v + 18 + 4, -v = -2*d + 7. Let a = d + 0. Suppose 100 = a*g - 5*f, -4*f = 5*g - f - 132. Calculate the remainder when 95 is divided by g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 751*c**2*u**2 - 3*c**2 + 194*c + u**4 + 4 wrt u.\nAnswer: 1502*c**2*u + 4*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4 - 6*k**3 - 89*k**2 + 294*k + 1960 = 0.\nAnswer: -7, -4, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535203 is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -10\/3*o**3 + 3 - 9*o + 0*o**2. What is the first derivative of r(j) wrt j?\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 29 = -i, 81*q = -2*i + 82*q - 33 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Suppose m*u + 4 = u. Sort 2, u, 0 in ascending order.\nAnswer: u, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -313? (a) -5 (b) 7 (c) 0.14 (d) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11138, -10737, -32612, -54487, -76362, -98237?\n\"Answer: -21875*c + 33013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvx when three letters picked without replacement from iaxixjvxiai.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b2405 (base 12) to base 7.\nAnswer: -13301414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 33 + 29 = 0. Are o and 1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 1254 = 7*s. Let v = s + -64. Solve -h = -2*z - 6, 0 = 6*h - v*h + 5*z + 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9548, 19095, 28634, 38159, 47664, 57143?\nAnswer: 66590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2 - 27*x + 1 + 26*x. Give w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (144\/27)\/16 + 944\/12 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8857 divided by -62012?\nAnswer: -8857\/62012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-3)*3\/(-7)*1855\/5830.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/((j*j\/j**(2\/9))\/j))\/j)**8\/((j*j**(-3\/4)*j*j)\/(j\/(j*j*j**(1\/4)*j*j)*j)) assuming j is positive.\nAnswer: j**(-49\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 - 42*b**2 - 2*b + 42 = 0 for b.\nAnswer: -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -1 (b) 772\/699 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 2*x - 5. Let y be b(4). What are the prime factors of y + (-5 + 2 - -27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3379 + -1917. Does 21 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.6.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173983284.\nAnswer: 2, 3, 31, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 23, -1406, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -3)\/(1\/5). Suppose 5 = -3*h + 4*h. Suppose -h*x + 20 = v. Solve i - o + 3 = 2, x*i - 27 = -3*o for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 0 - (-52 + 50) - -4\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - sqrt(1300)*-1*-6 - sqrt(1300) - sqrt(1300))*4)\/(2*sqrt(44)\/(sqrt(704)*1)).\nAnswer: -560*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-18 + (2 + -7 - 10))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.064 - 2.304. Let t = v - -0.24. Let b = t + 2.0042. What is b rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433529*b**2 + 1498*b**3 + 867057*b**2 - 433528*b**2 - 3.\nAnswer: 1498*b**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from gjbfjfgb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 equal to 110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-128)\/(-224))\/(34\/(-7)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 13*o**2 - 20*o - 77. Let k(m) = -m**3 - m**2 - m - 1. Let w(y) = 2*k(y) - l(y). What is the remainder when w(-16) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/52*1\/(3\/(-4)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -p - 3*j, 3*j - 33 - 6 = 4*p. Let s(u) = 2*u**3 + 2*u**2 + 4*u + 3. Let t be s(-2). Which is smaller: p or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -771 + 3842\/5. Which is bigger: z or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -2c6673?\nAnswer: -2c6671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 4*f - 5 + 3)*(0 + 7 + 0)*(-8*f + 0 + 6*f + 1).\nAnswer: 14*f**2 + 21*f - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/(-25)))\/((-18924)\/664 - -28)?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54969000 to the nearest 1000000.\nAnswer: -55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125534 is divided by 50.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 929 = 391. What are the prime factors of k?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*p - 55 = 0. Suppose 4*s = 1 + p. What is the remainder when (0 + 2)\/((-2)\/(-41)) is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 at most 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 4164615?\nAnswer: 4164620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -0.627245.\nAnswer: 5.01796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 24*z - 111. What is the smallest common multiple of 67 and h(17)?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvvvvvxqxxvvvvax. What is prob of picking 1 a and 1 x?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 22\/(-8) + 516\/(-912). Let u = -43\/76 - k. Let n = -0.8 + -0.2. Which is smaller: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (0 + -2*sqrt(68))) + ((1 + sqrt(68) + sqrt(68))*2 - sqrt(68)) + 3*(2 + 2*sqrt(68)) + 0.\nAnswer: 8 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 637*g - 57. What is the hundreds digit of b(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4*40\/(-6). Suppose -2*i = -7*i - 5. Is i less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -13*j**4\/4 + 27*j - 3. What is the derivative of f(b) wrt b?\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:13 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -2\/3*r**2 + 8\/3*r - 81 + 1\/15*r**5 - 2\/3*r**3 + 1\/12*r**4. Factor l(n).\nAnswer: (n - 2)*(n - 1)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-6)*(-306)\/64600*2820\/(-1692)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + l = 3 + 28, 2 = -l. Which is bigger: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*g = -0*v + 19, -3*g = -3*v - 6. Which is the nearest to -0.1? (a) -12 (b) 4 (c) -0.1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 2*v**7\/21 - v**5\/5 + 260*v. Determine u so that n(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1229 + -640. Suppose 7*p - k = 181. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 9 - -1 - (6 - 14 - -10).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - -36260.\nAnswer: 36260.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26998040*p**4 - 92000961 with respect to p.\nAnswer: 107992160*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 6. Let a be p(0). Suppose -2*f = -6 - a. What is the greatest common divisor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**14)\/b**(-9))\/((b**(-2\/3)\/b)\/b*b*b**(-6)) assuming b is positive.\nAnswer: b**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 - (7 - (3 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471 is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 580643 to the power of 1\/2, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.74 and -0.44213807642?\nAnswer: 0.29786192358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -24. Let q = -2 - -7. Let s = b - q. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2)**(-28)*r**(-5\/6)*r*r*r**(1\/4)*r assuming r is positive.\nAnswer: r**(-643\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/10 and 137\/13486488?\nAnswer: 67432440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31924 and 14?\nAnswer: 223468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from ggggggng?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g + 5. Let h be a(0). Let x(u) be the second derivative of 0 - 1\/75*u**6 - 1\/30*u**4 - u + 0*u**3 + 0*u**2 - 1\/25*u**h. Factor x(n).\nAnswer: -2*n**2*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 4*u**2 + 2*u + 3. Let r be (-2)\/(-6) - (-50)\/(-15). Let w be n(r). Sort w, -5, -2 in descending order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2480 + 335?\nAnswer: 2825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-1))*i*i)**(-24)\/(i**(-2\/7))**(-14\/13))\/(i\/(i\/(i*i\/i**2))*i**(1\/19))**(-9) assuming i is positive.\nAnswer: i**(-17743\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -378499 - 44?\nAnswer: -378532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78\/265 + -5\/53. Suppose -3*z = 3*o - z - 5, -2*o + z = 6. Sort o, d, -3\/7 in decreasing order.\nAnswer: d, -3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25243661?\nAnswer: 317, 79633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 4*b - b - 3*m - 27, 2*b = -2*m + 5*m + 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -176. Let i = 21 - 7. Calculate the greatest common factor of i and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14433 by -253.\nAnswer: -14433\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-11 + 10)) + 9 + -9\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 1. Let v = 1 + 1. Let h(f) = f - 3. Let z be h(4). Let n(j) = -v*j**2 + j - z - j. Determine -2*c(k) - n(k).\nAnswer: 2*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 524, 2531, 7062, 15083, 27560, 45459, 69746?\nAnswer: 101387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:42 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 - (-14355)\/2100. Let k = 27\/4 - z. What is the second smallest value in k, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 303*q + 441. Determine t(-2).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + sqrt(11) + 0) + -1)**2.\nAnswer: 348*sqrt(11) + 1237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.15. Let c = n + -0.05. Let j = 68 - 64. What is the nearest to -1 in 5, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000604007 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 687109, 1374216, 2061323, 2748430, 3435537, 4122644?\n\"Answer: 687107*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 40*m**2 + m - 50. Calculate c(40).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 579 - -69. Suppose 1435*y = 1429*y + d. Calculate the highest common factor of 198 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**2 - r**2 + 397926117 + 4*r**2 - 397926113 + 19*r**3.\nAnswer: 19*r**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v - 33743 = 414*v + 452*v for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - -74489) + -9 + 12 + -14.\nAnswer: 3, 11, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 32 = 4*d, 3*d - 4*d - 7 = f. Let a(o) = 2*o + 1. Give a(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -21*f**3\/5 - 2589*f**2 - 18459*f\/5 - 1107 = 0.\nAnswer: -615, -1, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -111. Let j = 277 - 187. Let m = c + j. Solve 0 = -3*n - m*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 272*b - 277*b, 0 = 3*l + 3*b + 39. Find m, given that 38\/3*m**3 + 112\/3*m + 38*m**2 + 4\/3*m**l + 32\/3 = 0.\nAnswer: -4, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v - 12436 = -22*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/20 and (-261)\/162 + -4 + (-9)\/(-3).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 5, e: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -6*f + 65. Let s be ((-2)\/4)\/(1*4\/(-328)). Let j = s + -9. What is the remainder when j is divided by b(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25760 + -25577.31. Let l = a - 207.6. Let c = l - -25. Round c to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965069.2ml in litres?\nAnswer: 965.0692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 19, 39, 67, 103, 147?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 757 in 0.4, 11\/4, 0.3?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 23. Let b be a(19). Sort b, 0.4, 0.04 in decreasing order.\nAnswer: b, 0.4, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/3? (a) -2\/5 (b) -1\/35 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 21.242?\nAnswer: -26.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 1\/5 (c) -2.47 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 290271 to the power of 1\/2, to the nearest integer?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e7822 - -2e?\nAnswer: e7851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**3 + 10*h**2 + 14*h + 14. Let w(n) = -n**2 + 61. Let p be w(-8). Let d(b) = 2*b**3 - 2*b**2 - 3*b - 3. Calculate p*a(z) - 14*d(z).\nAnswer: 2*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79392 and 550176.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185412084 rounded to 2 decimal places?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-50)\/(-72) - 1096\/2466. Factor -1\/3*v**2 - 1\/12*v**3 + 0 - j*v.\nAnswer: -v*(v + 1)*(v + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 449108 and 62304?\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - -3)\/(6\/(-8)). Suppose -3*r - 2 = -l*r. Solve -r*c - 2 = 2*a, -c - c = 5*a + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 3*b. Let n(x) = -x**3 + 5*x**2 + 6. Let f be n(b). Suppose 4*m + 3*z - 9 + 1 = 0, -2*z = 0. What is the greatest common factor of m and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -12*j - 18, -252*i + 15 = 246*i - 500*i - 3*j for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + ((2*sqrt(55))\/sqrt(5) - (sqrt(33)\/sqrt(3) + -1 - sqrt(11)))).\nAnswer: -12*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 14, o: 4}. What is prob of sequence ooo?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*o**2 - o**2 + 6*o**2 - 3*o**2 + (5 - 3 - 4)*(2*o**2 + 0*o**2 - 4*o**2) - 3 - 2*o**2 + 3 - o**2 + 19*o**2 - 3*o**2 - o**2 + 0*o**2 - 2*o**2.\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.33 - 0.33. Let w = -1531\/30 + 527\/10. What is the closest to u in 0.4, -2, -1, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 6:18 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2 - 3 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72331275 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -601*v**3 - 4*v**2 + 2*v - 2. Let g(y) = 1203*y**3 + 10*y**2 - 5*y + 4. What is -2*g(m) - 5*h(m)?\nAnswer: 599*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 263658 = -98*z - 1746322. What is z rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.54 - 0.54. Let o = -2.5 + 3. Which is the closest to -1? (a) 2\/5 (b) q (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 4*q - 20 = -3*k, 16 = -4*k + 2*q. What is the units digit of -120*(27\/18)\/k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/3 + 210*y - 636 = 0 for y.\nAnswer: -318, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 1 + 0 + 4 - (1561 + -1559)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -19*x - 25. Let c be y(-2). Suppose -2*w - g + 24 = 0, 0*w + 3*g - 16 = -2*w. Let u be 4 + c\/w*-4. What is the second smallest value in -1, -4, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 760 = 4*k. Let q = 320 - k. Suppose -6*z + z + q = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41732591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0054, -5, 1\/3?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 = -4*k, 4*k = 3*u + k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w - w + 44598 - 11658. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.23 and 75.\nAnswer: 75.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43566767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354 + -354.5. Sort 2, -66\/13, i in descending order.\nAnswer: 2, i, -66\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 824658 is divided by 274884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 5*t + 55 = 0, -28*g + 29*g = 3*t + 19. Let k be -1 + 22\/(-4)*-22. Suppose -g*u + 2*u = -k. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 903 = 10*m - 6*m, -913 = -s - 2*m. Let c = -603 + s. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 3:51 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2700\/1125*((-345)\/(-45))\/(-23)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 10.6428.\nAnswer: -2.12856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 96926402 and 72.\nAnswer: 96926474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -30*w + 1. Let j(y) = 1184*y - 193. Let x(o) = j(o) + 2*z(o). Differentiate x(q) wrt q.\nAnswer: 1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -558 or 1\/4?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -4. Let h be f\/(156\/164) - 3. What is the biggest value in h, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -848 times 4\nAnswer: -3392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = -4*b - 50, -19*q + 6*b - 5*b + 23 = -16*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22041 is divided by 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:25 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0 + 0)*(3*j**4 - 9*j**4 - 3*j**4 + (268*j - 17*j**3 - 268*j)*(5*j - 4 + 4) + j**2 - j**2 + 2*j**4).\nAnswer: 92*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51818830?\nAnswer: 2, 5, 7, 569, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (160\/280)\/(1 - (-10)\/(-7)). Let l = -2\/3 - t. Find c, given that 0 + 2\/3*c**4 - 2\/3*c**2 - 2\/3*c**3 + l*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -8. Solve 3*i = 3*z + i - 13, -p*z + 5*i = -15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(240)\/(sqrt(40)\/(-4*sqrt(5))))\/((-5*-2*sqrt(72) + sqrt(72))\/(-1*sqrt(300))).\nAnswer: 120*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 - 3*j**2 - 3*j**2 + (8*j**2 - 22*j**2 - 21*j**2)*(-67 + 59 - 212 - 196 + 39).\nAnswer: 13194*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5888 divided by -368\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let z(d) = -3*d**2 - 15. Give z(k(f)).\nAnswer: -3*f**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.08, -4, 3 in decreasing order.\nAnswer: 3, 0.5, 0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9036 = 6*o - 2*o. Let z be o*1 + 0\/(-3). Let r = 1519 - z. What is r rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 77 = -3*j + 51, -4*j + 3*t = -156. Let g be 34\/9 + 8\/j. Solve -g*u + 2*i - 18 = 4*i, -i + 21 = -4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from sssyyryssysrs?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s**3 - 2*s - 5. Let v(j) = 6*j**3 - 2*j - 6. What is -3*v(m) + 4*z(m)?\nAnswer: 2*m**3 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1963\/453*(-1)\/(-1)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - q - 21 = 20, 2*i + q = 34. Solve 14*o - 11*o - i = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m + m - m**2 + 4*m**2 - 2*m**2. Suppose -1 = t + 2, 2*t = 3*h - 15. List the prime factors of f(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-10)\/(-23)) + 4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 9 = -3*c, 5*m = -c + 1 + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/10 - (-3)\/5. Suppose -p + l = -29, -5*p + i*l = l - 157. Calculate the remainder when p is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59255 is divided by 427.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1604667 by 143.\nAnswer: -1604667\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 101427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x*x*x**(1\/15))\/(x**(-3)\/(x*x\/(x*(x*x\/(x**(-2\/27)*x))\/x))) assuming x is positive.\nAnswer: x**(1484\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-729)\/(-102)*(-8016)\/264. Let s = w + 217. Is -1\/2 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 10:43 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 27*i**2 - 28*i - 41. What is p(-26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -0.1, -1\/3, 4\/203?\nAnswer: 4\/203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -816*z**2 + 539*z**2 - 896*z**2.\nAnswer: -1173*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**2*r**3 + 4439*j**2*r*y + 15*j*r**3 + 23*j*r*y - j*r - r**3*y + 2 wrt j.\nAnswer: -2*r**3 + 8878*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 + 8*h**2 + 8*h + 23. Let i be 4\/12*(-5 - -29). Let c(l) = -2*l**3 - 3*l**2 - 3*l - 8. Give i*c(n) + 3*g(n).\nAnswer: 2*n**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 6. Let r be k(6). Let l = 18 - -12. Suppose 4*s - q - 33 = 0, -3*s - q = -r*q - l. Solve -4*z - 19 = 2*i + i, 0 = -i - 4*z - s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 1\/8612?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 >= -335\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 110*c**2.\nAnswer: c**2*(c - 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00128609019 rounded to 4 decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1281 - 751. Let c be (1 + -5)*27\/(-2) + -1. What is the greatest common divisor of g and c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p**(-6)\/p*p*p)\/p)\/p))\/(p**0*p))\/(p**1\/(p**7\/p))*(p*p**(-13)\/p*p**(1\/11)*p)**(-18) assuming p is positive.\nAnswer: p**(2490\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5293\/2271 - -2\/757. Let v(g) be the first derivative of -11*g**2 + 4*g + 28\/3*g**3 - 1 - 32\/5*g**5 + k*g**6 + 2*g**4. Factor v(n).\nAnswer: 2*(n - 1)**3*(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 9 = -1. Let j = -1.3 - -6.3. What is the third biggest value in j, s, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-13 + 2 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.7 - -9. Let q = s + -2.3. What is the nearest to 0.1 in -2, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 403, 2\/5, -5\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**1\/j)**3)**(-9\/4)*(j\/j**(-4\/5))\/j*j*j**(3\/5)*j*j\/(j*j**(2\/7)\/j)*(j\/(j\/(j\/(j*j**(-4)))))\/j*j assuming j is positive.\nAnswer: j**(191\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5*w = -35, 0 = -0*w - 3*w - 9. Let x(r) = -2*r**3 - 6*r**2 - 6*r - 26. Let o(q) = q**3 + 2*q**2 + 2*q + 9. Give n*x(y) + 14*o(y).\nAnswer: 4*y**3 - 2*y**2 - 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 261182.4l?\nAnswer: 261182400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*c**3 + 92*c**3 - 25*c**3 - 30*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -7. Let u = 17.4 - 17. Let x be 8\/6*1\/(-4). What is the nearest to 2\/5 in x, u, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61\/4 of a microgram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/((-18)\/(-135)). Let k = -24 - j. Let c be -5*((-54)\/k - 4). Solve -f - g - 4 = 0, 2*g = c*f - g - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4581926.\nAnswer: 2, 19, 120577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 12\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 + 628*s**2 - 65056*s + 1345808.\nAnswer: 4*(s - 38)**2*(s + 233)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -863 - -892. Let i = -0.1 + 0.1. Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n - 4*n + 2*n)*(-11*n - 7*n**3 + 11*n) to the form i*n + j*n**2 + g*n**3 + x + f*n**4 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.9187 to 1 dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 1.7. Let t = -2.31 + -2.01. Let r = 1.32 + t. Which is the closest to 5\/2? (a) r (b) m (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3040 = -134*i - 1030. Calculate the greatest common divisor of i and 813.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -7. Suppose 2*t = l*j - 3 - 32, -t - 17 = -2*j. Let v be (-5)\/25 + t\/(-20). Sort v, -3\/2, -1 in descending order.\nAnswer: v, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from hhbhhbbepbpbphbhhhh.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37614*w - 7175*w**2 - 37614*w.\nAnswer: -7175*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(4\/3)*u**(-3\/8)\/u*(u**0)**(-29) assuming u is positive.\nAnswer: u**(-1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -15*t**2 - 11*t + 11. Let i(r) = -5*r**2 - 4*r + 4. Let a(c) = -11*i(c) + 4*u(c). Let d(b) = 0*b**2 + 7*b**2 - 6*b**2. Determine a(d(l)).\nAnswer: -5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -0.894.\nAnswer: -0.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51915157 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -224.5 - -224.500094. Round b to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + h + 4854 = 5*g, -3*g = 4*h - 3650. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -576*u + 128?\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/9 and -53\/210786.\nAnswer: 632358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, h: 2, z: 1, u: 1, n: 2, a: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 150328 or 143070?\nAnswer: 143070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-363)\/(-22) - ((-9)\/6 + 1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -797*x**2 - 588*x + 585. Determine n(1).\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -61\/2*g**3 - 424*g + 1\/2*g**4 + 0 + 220*g**2.\nAnswer: g*(g - 53)*(g - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55963270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -15*l - 42*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98204305179 + 98204213807.2599792. Let b = v + 91372.4. Let u = b + -0.66. What is u rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 31. Suppose 10*y = 5*y + 85. Let b be k(y). Factor -7 + 6*h**2 + 3*h**2 + b*h**2 - 32*h - 5.\nAnswer: 4*(h - 3)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**2 - 48*g + 222. What is the hundreds digit of z(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, q: 4, j: 3, o: 2, m: 1, x: 1}. Give prob of picking 1 o, 1 m, and 1 x.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.087 - 0.187. What is the nearest to w in 0, 1\/2, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1895 and 4169?\nAnswer: 20845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 - 13*u**3\/3 + 22*u**2\/3.\nAnswer: u**2*(u - 11)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53*l**4 + 91*l**4 + 35*l + 2 + 2 - 68*l**4 + 0 wrt l.\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 33.6, -1\/58, 6 in increasing order.\nAnswer: -1\/58, 6, 33.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -29*m - 92 + 202 + 152 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3009)\/1071*21 + 73.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-32)*(-50)\/250?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 961 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23340 and 235734?\nAnswer: 2334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - i = -680. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881 divided by -4?\nAnswer: -3881\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 11*o**2 - 22*o + 21. Let l(a) = -10*a**2. Calculate d(l(u)).\nAnswer: 1100*u**4 + 220*u**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - 1) + (129 - 124) + 8 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - -1*1\/3. Suppose -2*h - 2*m = 12, -2*h = 4*m - 2425 + 2451. Which is bigger: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {f: 8, q: 4, u: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2 - 3)*(-9 + 9 + 15*m)*(14*m + 71 - 71) - 9*m**2 + 20*m**2 - m**2 to q + w*m**2 + c*m and give w.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3618 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1404 divided by 36\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3507 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.1, -4\/9, 1\/40, -91, 5?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 188\/7. Let w = 3 - 1. Let o = -2 + w. Which is the nearest to -0.2? (a) o (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69191*b**2*v*z**2 - 168*b**2*v*z - 4*v*z - 48*v wrt z.\nAnswer: -138382*b**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1302, 2441, 4312, 6891, 10154, 14077?\nAnswer: 18636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 3335535.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -7) + -7 - (0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/70*-1*4. Suppose -92 = -5*k - 4*v, -3*k + 4*v - 36 + 104 = 0. Suppose -h - 3*f + 14 - 2 = 0, -3*h - k = -5*f. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (-120580)\/30*(-7755)\/(-10). Round w to the nearest 100000.\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45\/2 - -22. Which is the fourth smallest value? (a) -5 (b) 2 (c) y (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2143 + 2180 - (58 + 0)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 3*h + 6, -19*h - 989 = -1027 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2. Let s(v) = 143788*v**2. Determine s(i(f)).\nAnswer: 14378800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 4*i**3 - 1 - 1 - i**4 + 7*i**3 + 2*i**2 to the form r*i**3 + c*i**2 + t + g*i**4 + s*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in 1, 0.3, -3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*2 + (sqrt(16) - (sqrt(16) + (sqrt(32)*5)\/sqrt(2))))\/(-4*(5*sqrt(800)*2 + sqrt(800))).\nAnswer: -sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -324 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*k - 1224 = -5*k - 258 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -392 * -1.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of -9\/7*u**3 + 0*u - 6 - 3\/7*u**2. Factor h(o).\nAnswer: -3*o*(9*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + 0 - 3)*-6 + 1. Suppose -8*j - 7*j - 15 = 0. Put w, 1, j, 4 in descending order.\nAnswer: 4, 1, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 651 divided by -2.\nAnswer: -651\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/5)\/(((-27)\/(-345))\/9) + 6\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -751 + 54073\/72. Calculate the common denominator of w and 37\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + (-4 - -2)\/(-1). Let q be ((-16)\/m)\/((-10)\/(-25)). Suppose 0*t - 76 = -q*t. Calculate the remainder when t is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.8 + 1.1. Let m = -42.24 + 43. Let b = m + a. What is b rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let c be m(0). Let o(d) = 4 + 28 - d + 4*d + d**2 + 18. What is the tens digit of o(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*l**5 + 8*l**3 + 796*l**2.\nAnswer: 780*l**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3517 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-177) + 64344\/4956 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*l + 3*l + 31, -3*b - 30*l - 713 = 565 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/(413\/1770*24\/(-210)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 6 - (-1 - -18 - 4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k - 55. Let m be 1\/k + 22\/110. What is the closest to 1 in m, 0.4, 0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 2 - 20\/10. What is the tens digit of (66 + x)\/1 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*145140924\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**5 + 150*u**4 + 306*u**3 + 154*u**2 = 0?\nAnswer: -1, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30.352 + 72841.702.\nAnswer: 72872.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3033233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 69925841?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d**3 + 9*d**3 - 14*d**3 + 3*d - 2*d**2 + 0*d**2 to the form c*d**3 + u*d + j*d**2 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2176) - -4*sqrt(2176)) + sqrt(2176))\/sqrt(32) - -6*(0 + (sqrt(136) - sqrt(136)*-2)\/sqrt(8) + 2).\nAnswer: 12 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4)*z**3\/z)\/(z**1)**(-35)*z**(-1\/2)*z**3*z*z*(z\/(((z\/(z**(-3\/4)*z))\/z)\/z))\/z**(-2\/5) assuming z is positive.\nAnswer: z**(983\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 111518 to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - z + 24 = 0. Solve 0 = 3*y + z - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -1906395.\nAnswer: 58\/1906395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 + (-1 - -2) + 0. Suppose -r = -x - 0*x. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2139*u - 6*u**4 + 2139*u + 11 with respect to u.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 6)*(8 - g - 10 - 5*g + (2 - 2 + 2)*(-2 + 2*g + 2)) as y*g + z and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23404 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g - 6. Let b be u(-3). Let w be (b\/(-3))\/(4\/(-10)). Suppose w = i + i. Solve i = 2*f - j, 2*f + 4*j - 35 = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 396957.5 millilitres to litres.\nAnswer: 396.9575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1. Let j(o) = o**2 + 18*o - 38. Let a be j(-20). Let k(v) be the second derivative of 7\/2*v**2 + 0 + v - 1\/6*v**3. Determine a*k(z) + 14*l(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6510618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 9174704*j\/9 - 10521899185952\/9.\nAnswer: -2*(j + 2293676)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2667)\/(-84))\/(3\/(-12)). Let j = m + 217. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbbbbbggbbg.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d + 110. Let a be r(20). Suppose 0 = -a*i - 33*i + 29971. List the prime factors of i.\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 0 - 3285*c + 4 - 2 - 3. Let g be f(-1). Suppose -g = -x - 37284. Round x to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359246.9 hours in minutes?\nAnswer: 21554814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 5*b + 6. Let p be i(-6). Suppose -11 = -2*x - 3. Suppose -8 = -x*t - p*t. Calculate the smallest common multiple of t and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 5*c - 30, -54*g - 22*c + 19*c - 203 - 190 = -111 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -26.2. Let o = x - 12. Let n = -0.4 - 0.1. Which is the third smallest value? (a) 4 (b) o (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258 = 53*u - 10*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -3\/7, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let n(c) be the first derivative of 0*c + 18 + 9\/2*c**2. Calculate p(n(m)).\nAnswer: 81*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 1:57 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 3*u**2 + 3*u - 11. Let s(c) = 2*c**3 - 8*c**2 - 8*c + 34. Determine -3*s(b) - 8*v(b).\nAnswer: 2*b**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 r when three letters picked without replacement from {x: 6, s: 1, r: 6, i: 7}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/252 and -113\/13860?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.141 + -6.8046. Round s to 1 dp.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -932, -931, -928, -923?\n\"Answer: l**2 - 2*l - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k + 15\/2*k**2 - 5\/3*k**3 - 116. Factor j(w).\nAnswer: -5*w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*h - 10072, -10052 = -4*v - 0*v + h. What are the prime factors of v?\nAnswer: 2, 3, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -536*c + 7158 - 1798 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -9. Let x = 1 + t. Suppose -4*m - 185 = -x*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11783*k - 32405*k + 13418*k as w + g*k and give g.\nAnswer: -7204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from hfhfhmfhfkafmfkkk.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wz when two letters picked without replacement from {z: 1, w: 4, f: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*(-60)\/(-8). Let l = 17 + i. Suppose 4*t - l*t = -30. Solve 0 = -5*u + t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**2 - 6206*j - 55692 = 0?\nAnswer: -3094, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1134243.4 rounded to the nearest 1000?\nAnswer: -1134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 1\/58715?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -284 + 287. Solve 0 = -4*y - 12, -d*s - 23 = 2*y - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1492*0.03.\nAnswer: -44.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15636.37 rounded to the nearest 100?\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125768 and 25091512.\nAnswer: 1592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 6566 = -2*k. Let n = k + -913. Suppose 5*x + 2*v - 4*v - 127 = 0, 2*x - 46 = -4*v. Are n and x unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3649 + -3652. Let s = 2.1 + -2. Which is the nearest to s? (a) z (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3468, 6795, 10122?\nAnswer: 13449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27475 and 183604435?\nAnswer: 5495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -15.64053 and -163615.\nAnswer: -163630.64053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2*sqrt(245)*-1 + sqrt(245) + 3*(sqrt(245) + -1) + sqrt(245) + -2 + 0 + sqrt(245) + sqrt(245))*-6*5*2 + -5.\nAnswer: -3780*sqrt(5) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/11)\/r*r*r\/(r*r**(-4\/3)\/r)*((r\/(r\/(r*r**1*r)*r))\/r*r)**(12\/19))**10 assuming r is positive.\nAnswer: r**(24830\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o - 6. Suppose 0 = o*j - 4*z - 27, 4*z + 9 = j + z. Solve j = 3*b + 2*i, -3*b + 6*b - 6 = -i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -691.06340591 - 13.85.\nAnswer: -704.91340591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 at least as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.82 + -1.841. Let t = 2.6 - -1.4. What is the second biggest value in 2, c, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1864954 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*(-4)\/(-168) - (-1)\/7.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1429*m**2 + 181*m - 364. What is the units digit of j(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 496\/2205 - 2\/735. What is the third smallest value in 0.6, 2\/7, x?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.57423986772 take away -0.29?\nAnswer: -1.28423986772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 24 = 2*q - 6*q, 0 = q + a + 9 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 6)*(8 + -9). Let y(q) = 4*q - 20. Let d be y(m). Let z(n) = n**3 + 2*n**2 + 2*n + 132. Is z(d) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*n - 10*n. Suppose n = -14*i + 19*i - 20. Let f(d) = 9 - d**3 - 2*d**2 - i + d**2. What is f(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 3, 15, 43, 93?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - 1116*i + 6804.\nAnswer: -3*(i - 6)*(i + 378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 2. Let b = 8 + -5. Let o be b\/12 - (-10)\/(-8). Let a(c) = -c + 5. Let s(r) = r - 4. Let p(z) = -4*a(z) - 5*s(z). Determine o*g(n) + 4*p(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1322.55 + -1323. What is the second smallest value in -5, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -164404*s**3 - 66*s**2 - 1300*s wrt s.\nAnswer: -986424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 5. Let u(h) = 61*h**2 - h + 2. Let i be u(1). Let p = i + -32. Suppose 0 = 3*j - 4*k - p, -3 = k - 0*k. Give c(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/6 - 43*f**4\/2 - 981*f**3\/2 + 27265*f**2\/6 = 0. What is f?\nAnswer: -95, -41, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millisecond in microseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**6\/60 - i**5\/60 + i**4\/6 + 2*i**3\/3 + 13*i**2 - 203*i. Let y(t) = -2*t**3 - t**2 + 5*t + 5. Determine 4*o(j) - 3*y(j).\nAnswer: -2*j**3 - j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/13)*w*w**(-1\/72))**(-14))**31 assuming w is positive.\nAnswer: w**(-169043\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11357 - -1.88643. Which is the second smallest value? (a) -0.2 (b) g (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*h = 13 + 37, -h = 4. Find the third derivative of -8*d**3 + 26*d**3 + 2*d**3 - o*d**2 wrt d.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.990597 + 0.991. Round z to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2042 - 2039. Solve w*r + 0*r = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 163, 742, 1717, 3094, 4879, 7078?\nAnswer: 9697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -29, -3 in decreasing order.\nAnswer: 10, -3, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*a - 27*a = 25. Suppose -w = 4*g - 36, -2*w - a*g + 4 + 56 = 0. Suppose 174 = -2*n + 5*n. Calculate the remainder when n is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24629195 is divided by 677.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -410143 (base 5) to base 16.\nAnswer: -3375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2678 = 15*d. List the prime factors of d.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126 - -25) + 49 + 41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 3*z**2 + 8*z + 7. Suppose -3*i - 35 = 4*o, -5*i + 0*i = o + 30. Give d(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**5\/20 - q**4\/2 + 5*q**3\/6 + 3*q**2 - 3*q. Let n(m) = -4*m**3 + 2*m**2 - 1. Let g be n(-1). Is 4 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001101110111111101 (base 2) to base 8.\nAnswer: 1156775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + 2626*k - 268748. Calculate m(757).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 30. What is the remainder when 13 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -67982.7 to the nearest one thousand.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*y + 5*y - 55, -5*u = -3*y - 15. Suppose -u = -5*s + 9. Suppose -5 + 2 = -s*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -2*r**7\/189 - 8*r**6\/27 + 44*r**5\/45 - 2*r**4\/27 - 86*r**3\/27 + 44*r**2\/9 + 780*r. Determine q so that y(q) = 0.\nAnswer: -22, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 3*l + 4. Let p = -14 + 16. Suppose 0*w = z + 5*w - 13, p*w + 11 = 5*z. Determine v(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/16 and 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95628*z**4 + 10381*z + 95627*z**4 + 9472 + 136*z**3 + 1728*z**2 - 3341*z.\nAnswer: -(z - 148)*(z + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Suppose -j - 64 = -5*j. Suppose d - j = 5*d. Which is the closest to f? (a) -2\/9 (b) -5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 18*j**2 + j + 21. Let h be c(-18). Differentiate 161*y**2 + 15*y**3 + 4*y**h - 10 - 161*y**2 with respect to y.\nAnswer: 57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -46935 - 27930 - 40236. What is t rounded to the nearest 100?\nAnswer: 38400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82\/246 - 152632\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d. Let o(h) be the first derivative of -739*h**2\/2 - 2*h - 836. Determine u(o(w)).\nAnswer: 1478*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/((-3)\/((-3)\/1)). Suppose o*y = 3*n - 3, 5*y + 14 - 41 = -2*n. Is n a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 12 + 7 = h. Solve -5*g + 0 - 5 = h*v, 2*g = 5*v + 29 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 58\/3 in -61, -17\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7242 times 0.5\nAnswer: -3621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1556, 6202, 13946, 24788, 38728?\nAnswer: 55766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12117845 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*u*x**2 + 355*u*x - 2*u - 2*x**2 - 3*x - 278561 wrt x.\nAnswer: 70*u*x + 355*u - 4*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l + 6. Let t(i) = -28*i - 84. Let n(b) = t(b) + 14*u(b). Let j(s) = -21*s**2 - 2. Calculate n(j(w)).\nAnswer: -294*w**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(117)*-2 - sqrt(117))**2*5 + 1*sqrt(1300)*-2*-6.\nAnswer: 300*sqrt(13) + 5285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from onznyuoosouu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:39 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*f + 34*f - f)*((-2 + 1 - 2)*(-16 + 4 + 5) - 2 + 4 - 3) as a*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 bigger than -141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/(-10))\/((-22)\/55). Calculate the highest common divisor of 42 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014732 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4. Let t be l(0). Let d(v) = -2 + t*v - 2 + 5 - 5*v - 5*v**3. Calculate d(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 20*w**2 - 2*w - 2. Determine h(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*r**3*x**2 + r**3*x + 137*r**2*x**2 - 25*r*x**2 - x + 17291 wrt x.\nAnswer: -18*r**3 + 274*r**2 - 50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/2 of a meter?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c - c = -63. Suppose 4*x = 13 + c. Is x less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 3:31 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 38*j**3 - 64 + 8*j**3 + 10*j**2 - 42*j**3 - 3*j**3 + 3*j. Calculate s(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6454336 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/1972 and 13\/5423?\nAnswer: 21692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -21*j**3 + 40*j**2 + 16*j + 4. Let k = -120 - -99. Let d(m) = -105*m**3 + 201*m**2 + 81*m + 21. Let u(o) = k*z(o) + 4*d(o). Factor u(y).\nAnswer: 3*y*(y - 2)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/(-2) + (62 - 45). Let w(g) = g**2 + g - 107. Let v be w(c). What is the biggest value in v, 4\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -4 + 6 + -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3244 - 3240. Which is the closest to -0.01? (a) u (b) 0 (c) 0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 0.058, 2\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*q + 96 = q, 0 = d - 5*q - 51. Let b = d + -29. Solve 25 = -2*u + b*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280 is divided by (-12510)\/(-450)*10\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 753442 and -36862202.\nAnswer: -36108760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238348829*n**3 - 35645*n**2 + 22*n wrt n?\nAnswer: 1430092974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 17 + 73 + 225 - 19)*(10*x**4 + 14*x**4 + 0*x**4).\nAnswer: 7512*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5383 = a - k, -3*k + k - 32306 = -6*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 30*r**2 - 2*r + 4. Let x be k(-3). Suppose 3*f - 4*l - 73 - 94 = 0, -5*f + 5*l = -x. Let o be 19\/f*3*1. Solve -a - 1 = o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = 0, d - 21 = -2*o - 0*d. Find the common denominator of o and (-4)\/38 + ((-3720)\/6213)\/10.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(200\/(-12)) - 274\/(-10). Let s(h) = 21*h + 180. What is the hundreds digit of s(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 320991*c**3 + 320989*c**3 - 641983*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 622, 695, 760, 811, 842?\n\"Answer: -j**3 + 2*j**2 + 74*j + 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 89*f**3 - 2*f**4 + 4*f**4 - 2*f**2 - 87*f**3 to l*f**2 + k*f**4 + q + i*f**3 + g*f and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - u - 108. Let c be 3 - 6 - 12*(-3)\/(-6). Calculate the remainder when w(c) is divided by (4 - 5) + (23 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/5)*b\/(b\/(b**7\/b)))\/((b**(1\/5)*b)\/b**(3\/7)) assuming b is positive.\nAnswer: b**(45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 8. Let b = f - -2. Let n = -0.93 - b. What is n rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91445062 to the power of 1\/2, to the nearest integer?\nAnswer: 9563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t + 9. Let r be a(9). Let g(f) = 2 - f**2 + 2 + 2 - f. Let v be g(r). Solve -5*k - 14 = v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 254 - 14*p**2 - p**3 + 188 + 16*p - 491. What is the units digit of b(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:08 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11533741 a multiple of 437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.9 + 13. Let q = -6 - -6.3. Which is the nearest to m? (a) 0.2 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 157*m + 588. Let z be q(4). Which is the smallest value? (a) 0.5 (b) z (c) 2 (d) -52 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 0.06195908?\nAnswer: 0.06195908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -355c2 (base 13) to base 11\nAnswer: -67422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1044713 (base 8) to base 16\nAnswer: 449cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1058 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**3 - 43187330*o**2 + 86374645*o - 43187320 = 0. Calculate o.\nAnswer: 1, 8637464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 4*y + 3. Let n be j(2). Let g = -1 + n. Solve 2*k - g = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 879, 808, 737, 666?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35.2 or 20.01?\nAnswer: 20.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -34 - t**2 - 4*t + 94 - 32 - 32 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2485 + -4?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8136658 >= -24409972\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16092305 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5519*r + 5579*r = 1252 - 232 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 8*w**2 - 43*w + 13. Let x be u(5). Which is the nearest to -17? (a) -3 (b) -0.4 (c) x (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 931 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 18*a + 5. What is v(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.09, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1245 - -170567\/137. Which is the third smallest value? (a) 5 (b) x (c) -1\/5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**2 - 2*v**2 + 0*v**2 + (3 - 3 + v)*(-3*v + v + 4*v) + 2 + 2*v**2 - 2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, k: 6, l: 1}. What is prob of sequence alka?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(176)*2)*5.\nAnswer: -80*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s + 4 = -192 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q + 7*q + 11*q + 9*q - 40*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/9 or 1963967?\nAnswer: 1963967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-20 + (53 + -15 - -13)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - 2 - (7 + -11). Suppose -b*c = -7*c - 4. Let s = 0.1 + -0.1. What is the second biggest value in c, -5, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u + 2*u. Sort -3, u, 2 in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:01 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/16 - (-26)\/8. Suppose 0*h - 27 = -p*n + h, -n + h = -3. Suppose -5*o - 51 = -n*o. Is o a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 851 + -856. Let i be 28\/8 - (1 + 2). What is the smallest value in -0.01, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/9*(-3)\/(-1). Suppose 0 = -14*m - 27*m + 12628. Let x be m\/(-99) + 0\/(-2). Is x at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 767?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4877353810 - 4877353810 + 7*f - 2*f**2.\nAnswer: -2*f**2 + 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4860 - 2460. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111, -96, -75, -48, -15?\n\"Answer: 3*p**2 + 6*p - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k**(9\/7)\/k*k*k)**(-42) assuming k is positive.\nAnswer: k**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -35, -48, -59, -68, -75, -80?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**5\/60 + 7*m**4\/24 + m**3\/3 + 2*m**2 - 37*m. What is v(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16620 by 8310.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - p)*(-11*p + 11*p + 5*p**2)*(-62*p + 20*p + 31*p - 2) + (2*p + 0*p - 3*p)*(-4*p**2 - 3*p**2 + 4*p**2)*(-2 - p + 2).\nAnswer: 52*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -5. Let m = 1.4 + -1. Let f = 1\/121 + 21\/121. Which is the nearest to f? (a) -5 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.149968 to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -240*t**2. Let x(v) = -1020*v**2. What is h(x(s))?\nAnswer: -249696000*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(1\/12)*c**(1\/15)*(c**4\/c)**(-39) assuming c is positive.\nAnswer: c**(-2317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, v: 4}. What is prob of picking 2 f?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o. Let x(n) be the first derivative of n**3\/3 - n**2\/2 + 3*n - 5. Let g(l) = 15*m(l) - 3*x(l). Factor g(h).\nAnswer: -3*(h + 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3934 and 56762?\nAnswer: 397334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3090820 and 928?\nAnswer: 24726560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 966 = -6*p. Let l(u) = u**2 - 44*u + 81. Let c be l(p). What is the third biggest value in 7, 3, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -220 (base 4) to base 15\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.08673 and -3685.\nAnswer: -319.60005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*o + 21. Suppose 0 = v - 5*k + 5, 2 = -o*v + 6*k - 4*k. Let z = 7 - 10. Put z, 4\/5, v in descending order.\nAnswer: 4\/5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**20*f**(12\/11)*(f*f**(-5\/4))\/f**17 assuming f is positive.\nAnswer: f**(-1547\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -9. Suppose -14 = -5*m + 6. Suppose 0 = m*a - f*a - 12. Calculate the greatest common factor of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -77*n + 15. Let f be u(0). Let y(j) = -j + 19. What is y(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 12. Let z be s(-17). Suppose z*o + 4 = 3*o. Sort o, 11, 1\/4 in descending order.\nAnswer: 11, 1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145127663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50316709.\nAnswer: 23, 2187683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 49.08387 months in years?\nAnswer: 4.0903225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -3, -5, 166 in decreasing order.\nAnswer: 166, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/15? (a) -0.04 (b) 75 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112257122.\nAnswer: 2, 163, 344347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * 6464.\nAnswer: -1486.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8424 and 348840?\nAnswer: 13604760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-5) - 16\/(-120). What is the second biggest value in 0.3, 4, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1)*(-1890)\/140. What is the highest common divisor of 177 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/6 and -56\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zccaaammammacac. Give prob of picking 2 m and 1 c.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2799448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13481 + -10608. What is the greatest common factor of x and 507?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (65 - 35)*((-55)\/(-15))\/(-11)*1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 22 = 22*b - 95. Solve 35*f**4 + 0 - 49\/5*f**b + 108\/5*f**3 - 20*f**2 + 16\/5*f = 0 for f.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x. Let r(n) = 206*n**2. Determine r(y(i)).\nAnswer: 7416*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-7)*2)\/((-28)\/49)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -14*v**2 - 6*v**2 + v**3 + 26*v**2 - 4. Let g be f(-2). Suppose 55*h = 53*h + g. Solve 15 = l - h*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**3 - 11*u**2 - 2*u - 12. Let f(n) = -9*n**3 - 22*n**2 - 3*n - 22. Determine 6*f(a) - 11*j(a).\nAnswer: 12*a**3 - 11*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.241112 to two decimal places.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 121 - 125. What is the closest to 0.6 in 2\/5, y, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -10538?\nAnswer: -10532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.53 in 0.5, -1\/11, 4, -101?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f + 0*f**3 + f**3 + 2*f + 8*f - 2*f**2.\nAnswer: f**3 - 2*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**3 - k**3 + 4*k**3)*(7 + 1 + 0).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.95 - 3.1. Let o = q + -0.05. Let k = -1.1 + o. Which is the nearest to -1? (a) 0.2 (b) -0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11021?\nAnswer: 103, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from wov.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3563 is divided by 958.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 at most -785.897?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4220*x - 4*u = 4219*x + 27, -2*u - 13 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glm when three letters picked without replacement from mlmmzllmlglm?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*l = -8, -s - 4*l = -0*s + 11. Let n(v) = -4*v**3 - 8*v**2 - 42*v - 2. Let o be n(s). Round o to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/7 in 1\/5, -5, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*q - 1 + 3, -5*f = -4*q - 46. Let r = 5 + -2. Solve -r*o = -f*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z + 44. Let l be j(10). Put -40, l, -2 in descending order.\nAnswer: l, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 121 + 161 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -8.7?\nAnswer: 18.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -49. Let q = 123 - v. Calculate the remainder when q is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, -10, -0.2, 4\/5.\nAnswer: -10, -0.2, 4\/5, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*d**2*x**2 - 14*d**2 + d*x**2 + 213*d*x - 106*d wrt x?\nAnswer: 24*d**2*x + 2*d*x + 213*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*q + 25 - 61. Suppose q*u = 2*j + 32, -u + 0*u - 2*j = -10. Calculate the smallest common multiple of u and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100983 is divided by 1441?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7777 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(-4)\/6 + 6 + 470\/(-40). What is the closest to v in -0.068, -1\/12, 1, 2?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g**3 + 2*g**2 - 1. Let q be x(-1). Let m be (-23)\/(-5) - q\/10. Suppose -3*k + 5*d = -m, -5*k - 2*d - 2*d = -56. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5628?\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 55*c**5 + 2430*c**4 + 32955*c**3 + 108020*c**2 - 324900*c + 181440 = 0.\nAnswer: -18, -112\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 7. Let w(t) = t**2 - 2*t + 2. Let f be w(2). Suppose g + 3*v + 2 = -2*v, f*g - r*v = 71. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2*s**2 - 8*s**2 - 330*s + 4*s**2 + 5*s**2 - 2653*s.\nAnswer: -s**2 - 2983*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k + k**3 - k**3 + 5*k + 0*k**3 - 3*k**3 - 2.\nAnswer: -3*k**3 - 10*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-36))\/(94\/4). Let o = v + -3050\/423. What is the common denominator of o and 5\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16997082?\nAnswer: 2, 3, 2832847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 4*c - 2, 4*i + 432*c - 8 = 435*c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 11:30 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-2)\/14*(-2065)\/(-1180))\/((-9)\/120)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, -2.\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80 and 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 3:25 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2735 + -21979\/8. Calculate the common denominator of c and (7\/13)\/((-14)\/(-91)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119411201 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15177001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 5, v: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -676 times 0.1\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 17*a = -3*b - 84, 4*a = -b + 18. Let x = 124 - 69. What is the lowest common multiple of b and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, h: 4}. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -3*z - 286 + 274, 0 = 3*l + z - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -298040469*a*y**2 - 5609*y**2 + 10154*y wrt a?\nAnswer: -298040469*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 0*v + 60. Let h(f) = f**3 - 4*f**2 - 6*f + 3. Let p be h(5). Let a be p\/((-2)\/(-40)*-2). Calculate the highest common divisor of a and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8486, -34480, -78050, -139262, -218182, -314876, -429410?\nAnswer: -561850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h - 260*h + 288*h + 64*h**2.\nAnswer: 64*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 12\/5*o**5 - 39\/5*o**2 + 72\/5*o**3 + 6\/5*o - 51\/5*o**4 = 0. What is o?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2. Let z be a(3). Let d be 1*-1 + -23 + -1. Let w = z - d. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -291 + 292. Let w(l) = -7*l**2 - 3*l + 2. Calculate w(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740557341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 6*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095460749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3 (c) -2.4901 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -31 + 10. Solve 0 = 5*o - d*o - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 178542426\/9029 - 4687212522861\/238401716. Let k = u + -22251\/161. Let r = k - 16\/41. Find the common denominator of -121\/6 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 1 - 9) + 1 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3670005 + 2?\nAnswer: -3670003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 2\/7, -0.26.\nAnswer: -102, -0.26, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 26512?\nAnswer: -106048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*f = -205336, 27739 + 126242 = -3*a - 4*f. Let u(g) = -1865*g + 6. Let y be u(-5). Let d = a + y. What is d rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(-27)\/(324\/(-48))*(-2)\/24?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 165126 by 73.\nAnswer: 2262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/9 + -4)*(-3)\/(-10)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2519160 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 41, 121, 275, 527?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 14*a**2 - 16*a - 7. Let q be 24\/168 + (-184)\/14. Let r be p(q). Suppose 46 = 3*l - r. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -5\/7, -19677822?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**3 + 317*k**2 + 4*k + 5. Let z(b) = 11*b**3 + 476*b**2 + 6*b + 7. What is 7*l(d) - 5*z(d)?\nAnswer: d**3 - 161*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(0 + 0 - 2*f) + 398466 + 9*f - 398466.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 21*b + 63. Is 63 a factor of n(27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 65*u**2 + 352*u + 143. Let i be f(-70). Solve 1001 = -i*n + 995 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, o: 1}. Give prob of picking 1 g and 1 o.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 - 26 = 0. Find the common denominator of 2\/4*c\/(-12) and (15\/9 - 2) + 2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -291 in descending order.\nAnswer: 2, -2, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/2 + 2\/6. Let h = -239 + 238. Put h, k, 1 in ascending order.\nAnswer: h, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012373 rounded to five decimal places?\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11977 + -11977.5. Which is the closest to 20? (a) -1.4 (b) -1 (c) 0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036 a factor of 1344322584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 18 + 8. Let v be k\/(-7) + (-8)\/(-56). Solve -b + 5 = v*h, -3*h + 6 - 21 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15553 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 2*d - 25, 0 = -3*b - 0*d - d - 15. Suppose -30 - 40 = 10*l. Let h = l - b. Does h = 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/2)\/(5\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6006?\nAnswer: 2, 3, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x + 78. Let l be i(-12). Determine p so that 6*p**5 + 87*p**3 + 42*p - 75\/2*p**4 - l - 183\/2*p**2 = 0.\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1.69, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pop when three letters picked without replacement from {e: 1, c: 2, p: 3, o: 13}?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111667 = -11*d + 1148988. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 1244 - 9956 = 0. Round i to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/(-48))\/((-112)\/(-48)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/4 of a second?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 2:26 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -340 divided by -10\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 732582 + -4?\nAnswer: 732577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2, -z - 2*b = 3 - 11. Suppose 5*d = z, -4*l + 26 = l - 2*d. What is the units digit of 9*4\/24*l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 9*o**2 + 14*o + 9. Let y be d(-7). Suppose 0 = -13*h - y + 74. Suppose 4*r + 40 = 8*r. Solve r = h*k, -3*q = -3*k + 8 - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/2)\/h)**(11\/9) assuming h is positive.\nAnswer: h**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -484.86 - 91.81. Round x to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 6*v**2 - 5*v - 48. Let n be l(-4). Suppose -3*i = -2*g + 11, n*i - 11 = -5*g - 18. Solve 2*w + o - 3 = -0*w, -3*o = 4*w - g for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**5\/4 - 2667*v**4\/2 - 163281*v**3\/4 - 707997*v**2\/2 - 402087*v + 2568090 = 0. Calculate v.\nAnswer: -1747, -14, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9642 divide 1318476006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 98, 198, 340, 524, 750?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k - 19. Let p be d(21). Solve 3*j = p*n + 12, 0 = -j - n + 2*n + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 8*i**2 - 2*i - 12. Let u(o) = -o - 7. Let g be u(-10). Suppose 2 = g*z + 26. What is the units digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141133 is divided by 39?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 x when four letters picked without replacement from rxzxzrxzxx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/28)\/((-42)\/(-49)). Let z = -26 - -22. Which is the biggest value? (a) -0.1 (b) g (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o**3 - 1. Let n be l(1). What is the common denominator of (27\/(-36))\/((-6)\/52) and (-136)\/6 + -5 + n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 967*p**2 + 118105*p + 117131. Let f(d) = 2*d**3 + 966*d**2 + 118108*d + 117132. Let t(b) = 3*f(b) - 4*s(b). What is w in t(w) = 0?\nAnswer: -242, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -70*d**3 + 4*d**2 - 3*d*q + d + 54538*q wrt d?\nAnswer: -210*d**2 + 8*d - 3*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-4)*(88\/(-11))\/(-112)*20\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 13884115*c - 152724660.\nAnswer: -5*(c + 11)*(c + 2776812)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92 (base 14) to base 4.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/36 and 139\/744?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54483?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -345 + 350. Suppose 13*u = -3*o + 12*u + 620, -b*u = -10. Is 4 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173*-63639\nAnswer: 11009547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 168030*y - 2352445. What is s(14)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:08 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 9:57 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119 - -114. What is the fourth biggest value in l, -2\/17, -1\/3, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 - 36. Let z = 98 + -58. Suppose -z = r - 5*r. What is the smallest common multiple of k and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 10. Suppose 4*h = -z + 4 + 2, 4*z = h - 10. Let b be g(z). Suppose b*r - 34 = -14. Put -5, -1, r, 0 in decreasing order.\nAnswer: r, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - 13*m**2 - 6*m - 6. Let w be c(-13). Let y be (-8)\/w*-2 + 76\/(-18). What is the smallest value in y, 0.3, -2\/7, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025*t + 703*t - 16185 + 28330 + 96719 = 0 for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4\/3)\/r*r)\/(r*r**(-6\/7)*r))**(-19) assuming r is positive.\nAnswer: r**(589\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -5*l, 6*f - 5 = 2*f + l. Let q = -27.8 + 28. What is the closest to f in q, 5, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 + -53. Let k be ((-6)\/(-9))\/(r*(-2)\/(-9)). Suppose 0 = -5*s - 25, k*v - 6*v + s = -2870. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.370003 to 3 decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.3 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -5*(sqrt(1331) - sqrt(1331)*3) - ((sqrt(1331) - (-5 + -3*sqrt(1331) - sqrt(1331))) + sqrt(1331) + 1)))**2.\nAnswer: -4400*sqrt(11) + 532500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -911*h - 1153*h - 74304 for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: 333783 * -3\nAnswer: -1001349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12005679 divided by 4001893?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 137, 203, 267?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2224, -2561, -3128, -3931, -4976, -6269?\n\"Answer: -w**3 - 109*w**2 - 3*w - 2111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -2\/15*o**5 + 0*o**3 - 1\/12*o**4 - 1\/18*o**6 + 0*o**2 + 0*o - 7. Factor n(d).\nAnswer: -d**3*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.343 + 170.657. Let m = -190 + t. Which is smaller: -0.2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d + 2. Let b(v) = -3*v + 46. Let x be b(15). Let a(p) = p. Determine x*j(n) + 4*a(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 29 = 39 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 44. Let m be (-48)\/64*8\/i. What is the second smallest value in -2\/3, -0.03, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n**3 - 30*n**3 + 85*n**3 - 27*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 10:36 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9166 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194 + 176 + 49 + 2 - 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -701.99326 - -702. Round o to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42532 and 55769.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = a - 10, 86*a + 5*t = 89*a - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*v - t, -6*t = -t - 15. Let b = -1731827\/3 + 577275. What is the fourth smallest value in 1\/54, 1\/8, b, v?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2964202, -2964207, -2964216, -2964229?\n\"Answer: -2*w**2 + w - 2964201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2. Suppose -5*a + 78 + 22 = 0. Let s(f) = a*f + 21*f - 44*f. Give l(s(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x + 30 = -34*x. Solve 25 = 2*y - 3*t, -3*y + 0*t + x*t + 30 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -773 * -558149\nAnswer: 431449177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.51? (a) -1\/5 (b) 2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1560 and 9672.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70720911 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1011\/260 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001010111000111010000 + 101?\nAnswer: -110001010111000111001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 52\/3, -0.5, -0.14, 4.\nAnswer: -5, -0.5, -0.14, 4, 52\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 161, -3 in decreasing order.\nAnswer: 161, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/6)\/(1\/(39\/26))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + -3. Suppose -2*z + 2*s = -60, 0 = -3*z - 2*s + 58 + 27. Calculate the remainder when z is divided by -25*-3*v\/(-45).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16681388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 117 - 3*j**2 - 69.\nAnswer: -3*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -280)*(-2 - (-105)\/63)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 99841 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12664 and 288.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 27*s + 906. Calculate o(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbb. What is prob of picking 3 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 52 and -3667 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**3\/3 - 19*u**2\/2 - 31*u + 40. Let d be s(-16). Solve 8 + d = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*d*f**2*j**3 + 70*d*j**2 + 1296*f**2*j - f**2 + 7*f*j**3 + f*j + 2*j**3 wrt j?\nAnswer: -684*d*f**2 + 42*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h + 9497 + 7479. Is 3*h\/(-18)*3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 6175 + 15217. What are the prime factors of g?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2 + 4 - 3 + 3*j. Let a(i) = 5*i**2 - 6*i**2 + 3*i**3 + 1 - 4*i**3 + i. Let u(c) = -3*a(c) + p(c). Find the third derivative of u(l) wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 7) to base 9.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 223.4815g?\nAnswer: 0.0002234815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.03 (b) 2\/7 (c) 27.3 (d) -4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/20 - 42861\/(-130)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3474*g - 90338. Calculate p(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let y(n) = -2557*n + 5*n**2 + 2557*n. What is -26*p(z) - 6*y(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 8 = -13. Let c be f\/((3\/(-5))\/(7 - 10)). Solve -4*d + c = d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -977*g + 5212. Let d be c(126). Round d to the nearest 1000.\nAnswer: -118000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 - 237995*t\/3 + 3093428.\nAnswer: (t - 237956)*(t - 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 219597 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - g - 1. Let q be (-47)\/(-7) + (-6)\/(-21). Let i(k) = 3 - 1 - k - q*k**2 + 2 + 5*k. What is -i(f) - 5*p(f)?\nAnswer: 2*f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.01, -7270\/21, 161?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, 39, 1.1418?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/j**13)\/j)\/j)\/(j\/(j**6\/j)))\/((j*j**(10\/3)*j*j)\/j)**(-2\/13) assuming j is positive.\nAnswer: j**(-358\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 586967 < 586967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -5345282.\nAnswer: -2\/2672641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/7 (b) 0.154 (c) -0.3 (d) 1\/9 (e) 19\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 - (-38 + -34) - 62.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2675 = 32*u + 3699 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 2. Let z be n(0). Suppose -3*a = -2*f + 1, z*f + 2*a + 3 - 9 = 0. Suppose 3*k - 14 + f = 0. Solve k*g + 20 = 4*q, 4*q - 23 - 1 = 5*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006595759 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.151, 0.6, -16.8, 3?\nAnswer: -16.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 0*c = 8. Let k be ((-2)\/c)\/(2 - (-45)\/(-24)). Put 4, -5, 3, k in descending order.\nAnswer: 4, 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/805456 and -95\/97862904.\nAnswer: 195725808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 34.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 45 = 7*w. Let l = w + 11. Suppose 4*k = l*k + 4. Solve -k*j + j - 4 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 10*d - 55. Let a be x(15). Suppose 0 = 4*c - 3*w - 19, 3*w - 9 = 2*c - a. Sort 0.5, -6, c, 3 in increasing order.\nAnswer: -6, 0.5, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 158038683*f**2*k**2*l*z - 193*f**2*k**2*z + 2*f**2*k**2 + 3*f**2*k*z + 11*f*k**2*z + 640*k*z - 2*z wrt l.\nAnswer: 158038683*f**2*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -894893*u - 734472*u + 73767*u + 240646*u.\nAnswer: -1314952*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-52)\/6)\/((-74)\/111). Factor p*q - 10 + 60*q - 20*q**2 + 4*q**3 - 41*q + 1 - 7.\nAnswer: 4*(q - 2)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-15) - (8\/(-6))\/2. Suppose 0 = d - h*d + 13. Calculate the highest common divisor of d and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/(-27) - 4\/6. Solve -12 = -3*f - i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 184. What is the remainder when 365 is divided by k?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.4980236 rounded to three decimal places?\nAnswer: -64.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2. Let u(m) = 233*m - 1048. Calculate u(w(z)).\nAnswer: 233*z**2 - 1048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 9*m + 5. Let x be h(-8). Let o(q) = q**3 + 4*q**2 - q - 3. What is the units digit of o(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -100. Suppose 5*n - 73 - 17 = 0. Find the second derivative of 38*p**2 - 20*p**2 - p**3 + 3*p - n*p**f wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -531291 less than -0.2205?\nAnswer: 531290.7795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 c when three letters picked without replacement from kkllpjjclcdjlj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -7. Suppose 3*x - 4 = v. Suppose i - 12 - 5 = -n, -x*i + 34 = 2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-303)\/(-45) + -8 + (-6)\/(-10). What is the closest to 2\/3 in -3, -1\/4, j?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 34*i + 12. Let l(z) = 28*z + 12. Let a(q) = 6*l(q) - 5*y(q). Let x(m) = -12*m**2. Give a(x(j)).\nAnswer: 24*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, n: 2, b: 2}. Give prob of sequence bxnx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbnb. What is prob of picking 2 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 192671 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-7))**(-8)\/(q**5)**(-29) assuming q is positive.\nAnswer: q**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28 - -26) + (-48)\/(-8). Suppose 0*h + 135\/2*h**5 - 12*h**3 - 81\/2*h**t + 6*h**2 + 0 = 0. What is h?\nAnswer: -2\/5, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0145294062 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 884 = -8*c. List the prime factors of c.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 2*u + 3*u**2 + u**3 - 3*u**3 - 6*u to d*u**3 + m*u + p + j*u**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1101, -4397, -9891, -17583, -27473?\nAnswer: -39561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 29, 0.3, 11, 4707, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 0) + 38\/19?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 76 = -3*h, 3*p + h + 16469 = 16442 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/3)*f**(-2\/7))\/(f**(-1\/6)*f**(-4)*f))\/(f\/(f\/f**(1\/3))*f**(1\/3))**(-30) assuming f is positive.\nAnswer: f**(947\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**4\/12 + 2*x**3\/3 + x**2. Let w be n(3). What is the biggest value in w, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 not equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5034 (base 14) to base 2\nAnswer: -11010111000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, r: 4, j: 2, l: 5}. What is prob of sequence rr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*g*w**3 + 5885*g*w + 3*w**3 - 610*w**2 wrt g?\nAnswer: 10*w**3 + 5885*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + l - 1. Let j(m) = 2*m**2 - 3*m + 3. Let h(d) = -j(d) - 3*o(d). Let p(x) = -x - 14. Determine p(h(r)).\nAnswer: -r**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 31 = 97. Suppose -2*t - f = -42. Suppose -t*w = -11*w - 12. Let o(i) = -i + 8. Calculate o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6542 is divided by 327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1812*i - 45300. Give u(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r + 2. Suppose 4 = 5*p - 6. Suppose -3*u + 30 = p*u. What is the least common multiple of 2 and b(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-880)\/(-9856))\/((-440)\/(-112)).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + (120 + -74 - 14).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*k - 1. Let l be 59 + (1 - -1) + k. Calculate the greatest common divisor of 24 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.70929 and 378.3001747.\nAnswer: 379.0094647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3 (c) -41 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3398*a - 20678 - 41227 = -3662 + 13115 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-735)\/(-90) + -8*1. What is the biggest value in -5, -7, 2, 0.04, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 8070*z**2 - 16273152*z + 32578592.\nAnswer: -(z - 2)*(z + 4036)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24225\/27 + (8\/(-36))\/1. Suppose -g = 5*v + 4*c, -2*v = -6*v + 3*c - 730. Is -180 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 92\/(-16))*-4. Suppose c*n - 22*n + 180 = 0. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 4:23 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1002*y**2 - y - 1108?\nAnswer: 2004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.085453 months in years?\nAnswer: 0.92378775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + 0 - (0 - 5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 3*d = 35, -5*v - 20321*d - 35 = -20326*d for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -208*i - 930. Determine k(-6).\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 22 = -202. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 16 = 2*d + 4*g, 2*d - 3*g = 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 8 + 2. Let s = -4 + u. Suppose -s*i + i + 5 = 3*k, 0 = 4*i + 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*b + 4, -2*b + 2 = -0*p - 4*p. What is the closest to b in -4, 2\/3, 0.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**4 - 1 + 1 + (3 - 3 - u**2)*(-3*u**2 + 4*u**2 - 2*u**2) + (61*u**3 - 2493*u + 2493*u)*(-1 + u + 1).\nAnswer: 64*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1381915?\nAnswer: 5, 479, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (-1)\/((-16)\/(-92))*-4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -272*r + 229*r + 301. Let u(m) = -36*m**3 + 2*m**2 + 2*m + 2. Let c(w) = -108*w**3 + 7*w**2 + 7*w + 7. Determine r*u(p) - 2*c(p).\nAnswer: -36*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84\/(-14)*(-2)\/(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*g*m + 2342*g - 132429*m wrt g?\nAnswer: 7*m + 2342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -3 - (-4 + 0 + -1 + 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5508666?\nAnswer: 2, 3, 29, 61, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**9\/37800 + v**7\/2100 - v**6\/900 + 11*v**4\/12 - 35*v**2. Let n(w) be the second derivative of q(w). Factor n(d).\nAnswer: -2*d*(d - 1)**2*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -634*x**2. Let l(v) = -4099*v**2. Calculate a(l(b)).\nAnswer: -10652341834*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7412, 698, 0, -5.\nAnswer: -7412, -5, 0, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 2\/13 (c) -0.4 (d) -0.2 (e) 2\/53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4179\/6 - 6\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*w - 1\/5*w**5 - w**3 + 4\/5*w**4 + 2\/5*w**2.\nAnswer: -w**2*(w - 2)*(w - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yzzyzzzzzzzzzzzzzzz?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h**2 + 1. Let a be d(1). Suppose -7*y = -28*y + 231. What is the remainder when 29 + a - (3 + -2) is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 34\/81 and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.206 + -0.012. Let i = 0.111 - z. Round i to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzz. What is prob of sequence zzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 4*b + 6*b + 3*b + 7*b**3 - 16*b in the form i*b**2 + o*b**3 + r + f*b and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*a**3*h**3 + 3*a**3*h + a*h**6 - 3*a*h**2 + 2*h wrt h?\nAnswer: 276*a**3 + 120*a*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -127 + 131. Suppose 260 = z*n - 4*c, -3*n + n + 5*c = -118. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 35*z + 1\/20*z**5 - 1\/42*z**7 + 0 + 0*z**3 + 1\/15*z**6 - 1\/6*z**4 + 0*z**2. Suppose c(i) = 0. Calculate i.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 18. Which is the closest to h? (a) 1\/6 (b) -7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 7:04 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3) + -1 - sqrt(18)\/(sqrt(150) + sqrt(6)))*-6.\nAnswer: -5*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s - 3. Let j be a(1). Suppose 16 = j*p, 0*v - 3*v - 4*p = -442. Calculate the remainder when v is divided by -1*(0\/(-2) + -1) - -28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9542 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -913*g - 144452 = 298*g + 945*g for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5764259 to the nearest 10000.\nAnswer: -5760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1737 is divided by 312.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**3 + 199056*v**2 + 62996436*v + 5000177304 = 0 for v.\nAnswer: -49446, -159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z. Give u(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 10:09 AM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -210*u**2 - 48905*u - 812250.\nAnswer: -5*(u + 18)*(42*u + 9025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 5*f + 9 = 0, 2*f = -0*r + 2*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m - 4. Let z(j) = -641*j**3 + 8*j + 32. Give 40*w(g) + 5*z(g).\nAnswer: -3165*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-12)*16\/(-60)*-10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4118115 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l + 8*l**5 + 4 - 4 wrt l?\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) -5\/4 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33659 is divided by 3701?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 + 62 = -3*x. Let k be 2734\/26 + (-6)\/x. What is the highest common factor of k and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 451 - 179. Let k = -186 + o. Suppose 3*i + 3*a - 78 = 0, -3*a = 4*i - 5*a - k. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 282 and 8319.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*t - 84, 9*a - 3*a = -2*a - 4*t - 220 for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a**2 - 74*a - 4. Let x be (2014\/(-265) + (-4)\/10)\/(-2). What is i(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-374)\/51 + 7)*8\/168*7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 5*t + 8 = 0, 2*t - 16 = 4*f - 0*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7886052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + 5*z + 6. Let u be h(-4). Let k = u + -8. Calculate the remainder when 27 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 4*o + 3. Let d be a(-4). Factor 8*b**4 + 10*b**3 - 7*b - 3*b**2 - d*b**2 - b - 2*b - 2.\nAnswer: 2*(b - 1)*(b + 1)**2*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -265\/7 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 177590821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 54674 + 54651 = -3*t, 4*t = -5*d - 39 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 - -16. What is the greatest common divisor of f and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0261 in 3\/2, 3, -3, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g - 38. Let a be d(-13). Let v = a - -239. Calculate the greatest common factor of 22 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 647, 643, 637, 629?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**2 - 5*s + 4. Does 6 divide d(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:49 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -13*r**5 + 6*r**2 + 2. Let w(y) = -12*y**5 + 7*y**2 + 3. Let d(u) = -3*n(u) + 2*w(u). Find the third derivative of d(i) wrt i.\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/10? (a) 26 (b) 0.3 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 11) in base 9?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/94278 and -103\/24320.\nAnswer: 60337920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + r - 3*r)*(r**2 + r - r) + 57*r**2 - 59*r**2 + 6*r**3 - 21*r**3 to the form o + z*r**2 + j*r**3 + b*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**3\/3 - 12*d. Let w(u) = -u**2 + 2*u - 2. Let h(c) = 3*c**2 - 9*c + 9. Let v(z) = -2*h(z) - 9*w(z). Calculate k(v(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 5. Is -10 < q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2 - (-4)\/(-2). Let n = h - -42. Let v = 369 + -356. What is the greatest common factor of v and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42587062.\nAnswer: 2, 7, 3041933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 + (14 - 9) - (-20 + 5 - -5).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -64\/21 - 104\/21*p**2 - 20\/21*p**3 + 2\/7*p**4 + 2\/21*p**5 - 48\/7*p = 0.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 24*z**2 + 23*z + 11. Determine r(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (1 - (-1 - -2)). Suppose 0 = -3*h - x*n - 24, 3*h + 18 = -n - 0*n. Which is the second biggest value? (a) 2 (b) h (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -0.2 (c) -12 (d) -0.5 (e) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 518*f - 19. Is v(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5460 divided by 6.\nAnswer: -910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 24 + 8 = 0. Suppose -z*o + 31 = -29. Solve o = 2*d + 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 186654630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.6 and 0.8051304861.\nAnswer: -3.7948695139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*n - 12 = -4*t, -20 = -5*n. Suppose 0 = 2*u + t*u - 117. Solve 3 - u = 5*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1054523 + 21?\nAnswer: -1054502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imzyymypikmpmy. Give prob of picking 1 p, 1 z, and 1 k.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005933 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 1 - 6. Suppose -3*c - 4*z + a*z = -20, 0 = 5*c + 2*z - 48. Suppose -c*f + 25 + 71 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 13) to base 7.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/80*14\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 2730 = -120*x. Suppose -g = g - 20. Calculate the remainder when x is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + 1 + (-4*sqrt(180) + sqrt(180))**2 + sqrt(5) + (3 + sqrt(35)\/sqrt(7))**2).\nAnswer: -1636 - 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5 = -55. Let l(w) = -w**3 - 9*w**2 + 7*w. What is the least common multiple of 2 and l(u)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 - -57. Is 4148\/x + 1\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1687*v**6 + v**3*z - v**2 + 5*v*z - 20*z + 10 wrt v?\nAnswer: -202440*v**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 6. Is k(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -s - 8, -6*g + 10*g - 7 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 15\/122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/((-60)\/8)*3. Let p(r) = -15*r + 2*r**2 - 4*r**2 - 3 + 6 + 12*r. Determine p(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11 = -4*a + 9*a, 4*a - 12 = -4*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -158 + -556. Let y = k + 1046. What are the prime factors of y?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.9, -2, -22?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -4.4. Let q = 4.025 + i. Round q to 2 dps.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16651 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 + 17978*m**3.\nAnswer: 17978*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6386\/1521 + -4\/169. Calculate the common denominator of x and (-1113)\/360 - (-4)\/30.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8c (base 16) to base 12\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/18 + 7*j**3\/18 - 2*j**2\/3 + 10*j - 5. Let n(i) be the first derivative of g(i). Determine b so that n(b) = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -20*u**3 - 3*u**2 + 1. Let h be x(-2). Suppose 0 = 5*o - 4*f - h, -2*o - 2*o + 5*f + 112 = 0. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 154*b**2 + 2*b. Let q(s) = -228*s - 51. Let l(a) = -27*a - 6. Let f(u) = -51*l(u) + 6*q(u). Give k(f(j)).\nAnswer: 12474*j**2 + 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (17 - 24 - 10)*(41*s + 74*s + 24*s) - s - s + 0*s in the form r + b*s and give b.\nAnswer: -2365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/23520 and 37\/576.\nAnswer: 141120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -13.1 (b) -48 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u + 14. Let j be d(0). Suppose -8*g + 5*k = -3*g, -2*g - k + 6 = 0. What is the highest common divisor of j and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a74 (base 11) in base 10?\nAnswer: 5284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**2 + 2*d + 6. Let j be -1*(1\/1 + 4). Is 35 a factor of h(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 - -79 - 112 - 133?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5936 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/((sqrt(132)*-2 + sqrt(132))\/sqrt(11)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q. Let z(l) = 149*l + 1. What is w(z(d))?\nAnswer: -298*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + 0.34. Let a = 3 - 6. Let b = -1 + 1. What is the nearest to -1\/3 in r, b, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-63926)\/(-282) - (-10)\/(-15). Let g = o - 226. Is 0 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 144\/(-64))*-34*154\/187.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -56*x - 5\/2*x**2 + 0 - 1\/12*x**4 - 7\/6*x**3. Suppose -d = -4*d - 15. Determine n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-174)\/(-174))\/((0\/(-2) + -1)\/(-2)). Put m, -5, -60 in decreasing order.\nAnswer: m, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-3))\/(20\/(-90)). Suppose 0 = y + 3, j*f + 2*f = y + 48. Which is bigger: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -5, -3*t = -2*t + 2*l + 1. Let j = -20 - -22. Let f = 1 - 2. What is the nearest to f in j, 3\/4, t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4273 = -1049*r - 2502 - 4764 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 321 - 959 - 302*w + 319 + 320.\nAnswer: w**2 - 302*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/9 - (-58)\/(-29). Which is the second biggest value? (a) 0.2 (b) z (c) -2\/35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.226 + -1.174. Which is the closest to 0.3? (a) 1\/5 (b) 0 (c) 4 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 6 = x - 4*x, y = 2*x + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/2544 and -109\/1590.\nAnswer: 12720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50170*u - 49446*u + 53535 = -31370 + 12505 for u.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254.835*-40.\nAnswer: -10193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = u + 4*r + 1, -3*u = -r - 10. Let c = 24179\/18 + -1340. Find the common denominator of (-113)\/14 - (1 - u) and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -3, 5, -1449 in increasing order.\nAnswer: -1449, -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 + 11*m**2 - 6*m - 14. Let c(b) = -b**3 - b + 4*b**2 - b - 5 + 0*b**3. Let f = -4 - 7. Let j(x) = f*c(x) + 4*a(x). Give j(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82345726 take away -0.39?\nAnswer: -82345725.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*a**4 + 6404*a**3 + 87331*a wrt a?\nAnswer: -168*a**2 + 38424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18241090.\nAnswer: 2, 5, 7, 260587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6724 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214309*j = -217769*j - 96880 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/98*4)\/(3\/6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.752 millennia to years.\nAnswer: 6752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*j**5 + 7*j**4 - 226*j**3 - 255*j**2 - 448 wrt j.\nAnswer: -13620*j**2 + 168*j - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3554653 + 6754653. What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*n - 7, 0*z + 3*n - 17 = -z. Let c be 4*1 - (-6)\/(z - 11). Solve -4*b + i = 7, -4*i = -b - c*b - 16 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a319a (base 15) to base 16\nAnswer: 1378d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10561 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*r**4 + 298*r**3 + 965*r**2 - 76*r.\nAnswer: r*(r + 4)*(r + 19)*(13*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7298693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**4\/3 + 5*i**2. Let b(q) be the second derivative of -q**3\/6 - 3*q. Calculate b(v(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2112 rounded to one dp?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 389 - 265. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - o**4 - o**4 + (2*o**2 - 2*o**2 + 3*o**3)*(-2*o + 0 + 0) - 3*o**4 + 2*o**4 + 0*o**4.\nAnswer: -5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 9*d**2 + d - 10. Suppose w - 4*w + 27 = 0. Let n be a(w). Let f be (37000\/n)\/((-13)\/(-260)). Round f to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 879134.3 micrometers?\nAnswer: 0.8791343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = v - 3*v - 2*j, -5 = -j. Suppose v*p - 8 = 0, -6*r + 2*r - 4*p + 28 = 0. Calculate the least common multiple of r and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j**3 + 2. Suppose 4*d + 24 = -4*f + f, -3*f - 5*d = 24. Let o(r) be the second derivative of 7*r**5\/20 + r**2\/2 - 5*r. What is f*o(c) + 5*z(c)?\nAnswer: -c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2803 - 2806. Let q = -0.2 + 0. Sort -1\/6, q, n, 0.5.\nAnswer: n, q, -1\/6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {o: 11, e: 3}?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (8616 - 8616 + 5*s**2)*(2*s - 1 + 1) in the form k + l*s + g*s**3 + v*s**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3*v**2 - 45*v + 18. Let l be r(-15). Let n be (-15)\/(-6)*(-1 - l\/(-10)). Find the first derivative of -2 + 49*q**n + 1 - 3 wrt q.\nAnswer: 98*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 13*g**2 - 11*g**2 + 4*g**2 to t*g + s + v*g**2 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -122 + 126. Put u, 0, -4, -5 in decreasing order.\nAnswer: u, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viiiiiisiisiii. What is prob of sequence ssv?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2910503 millennia to centuries.\nAnswer: 2.910503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 5. Suppose 0 = 5*v - 0*v - 100. Suppose 0 = 4*j - 8*j + v. Solve 0 = -4*z + 2*b - 18, -h*z + 0*b - 21 = -j*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3774715 or 1?\nAnswer: 1\/3774715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(3\/30). Let j(s) = -4*s - s**2 - 3*s**2 + m*s**2. Suppose 2*q + 2*u = 18, 4*q = -5*u + 62 - 22. Give j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45bb80 (base 12) to base 3\nAnswer: -2002212221020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, 3 in descending order.\nAnswer: 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 326002 - 217926. What are the prime factors of f?\nAnswer: 2, 11, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 41056 = -4*t + 1148, t = 4*m - 39905. List the prime factors of m.\nAnswer: 2, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.28799418 + -0.28828. What is s rounded to six decimal places?\nAnswer: -0.000286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45259893 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + v)*(-v + v - v**2) - 5*v**3 + 2*v**3 + 2*v**3 + 0*v**3 + 0*v**3 + 2*v**3 - 2*v**2 - 2*v**3 + 2*v**2 + 0*v + v**3 - v - 3*v**3.\nAnswer: -v**3 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 e when four letters picked without replacement from {t: 7, e: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 9 - 10 = 4*c, -2*c = 4*w - 16 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -330 + -100a?\nAnswer: -133a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(8\/3)\/w)\/w)\/(w**(-3\/5)\/w))\/(w**(-1\/3))**(-38) assuming w is positive.\nAnswer: w**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 21.4. Let t = y + -0.8. What is t rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 67775.805 milliseconds?\nAnswer: 0.0007844421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.057492573 to three decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 5*m**2 + 9*m + 8. Suppose -1 = -3*y - 22. Let o(u) = 9*u**2 + 17*u + 15. Let f(q) = y*n(q) + 4*o(q). Is f(-7) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 8) in base 7?\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4408 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1484 at most -65890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 18706424.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 12493\nAnswer: -3\/12493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + r - 4, 0 = -5*j + 4*r + 29. Suppose j*w = 5 + 125. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 2)*(4*s - 5*s - 5*s)*(4*s + 10*s - 3*s).\nAnswer: 198*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) -0.0745 (c) 2\/61 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 39*s - 612. Let j be n(-12). Solve j*f + f + 1 = 0, 0 = 5*l + 2*f + 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1247.\nAnswer: -1247, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 48380173643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/3*17\/(-714)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 398 + -399. Sort -15, 1, w in increasing order.\nAnswer: -15, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 764 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 + 0*z**4 + 2*z**4 - 2*z**3 - 2*z**4 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-30 - (-10 + 10) - -9).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 725443003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:39 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by 72290\nAnswer: -33\/72290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 7:21 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.03 or -15177?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1153099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 4 + 2. Suppose 2*u - 4*i = 2, -2*i + b - 4 = -3*u. Which is greater: u or -3\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 518 - 530. Let i(h) = -h**3 - 5*h**2 + 13*h + 28. Calculate the remainder when i(b) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4005 - 0.205. Round i to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from bxxtbtlxxtxx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - z**2 - 7*z. Let d be -18*((-4)\/(-10))\/((-8)\/(-30)). Let n = -24 - d. Let w be p(n). Which is the closest to -1\/3? (a) -11 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -6*c**4 + 3*c**3 + 97 + 7*c**4 + 4*c**2 + c**3 + 58 + 0*c**2. Factor f(a).\nAnswer: 4*a*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 10 and 1295\/127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5*b = 6*b - 455, 2*v + 3*b - 169 = 0. Suppose -119*l = -v*l - 7344. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -286 + 301. What is the remainder when 50 is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-5 - -13)) + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3252 - 3792 = -18*s for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 20. Suppose -5*h + 6*h = -j. Let b = h - -46. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/(-40)*30\/4. Suppose -3*c + 0*c = a. Suppose -4 = 4*b + 4. Is b < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -3*s + 4*u, 129*s - 5*u + 90 + 285 - 28 = -22 - 186 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 956 = 4*l - 2*y, -476 = -2*l + 2*y. What is the greatest common factor of l and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-39)\/(-9) + 1\/(-3). Let z(w) = 3*w - 1. Is 8 a factor of z(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/4863 and 61\/1248170?\nAnswer: 3744510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 499381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1322 + -847. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101100011110000 (base 2) to base 6\nAnswer: -253224","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1215, 2351, 3487, 4623, 5759, 6895?\nAnswer: 8031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513 (base 6) to base 14.\nAnswer: d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 3*l - 160. Let o be (-4)\/l + 102\/(-15). Is 8 a factor of (-3)\/o + (-186)\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 22 - 38 - (1 - (-4 + 41))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 12*j = -20. Let g be (-11)\/j*-1 - 15\/75. Suppose 4*v - 18 = -10. Solve v*l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 8. Suppose -14*q = -10*q + 5*v - 29, 5*v + 25 = 5*q. Let j(n) = -2. Let p(k) = -5. Let t(r) = 7*j(r) - 3*p(r). Determine q*t(b) - a(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253 and 11.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -144*q - 266 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - x + 4*x - 4*x + 4*x - 2*x + 2 - 2 - 2*x + (2*x + 0 + 0)*(-2 - 3 + 3) + 2 - 2*x - 2 - 1657 + 11*x + 815 + 820.\nAnswer: 3*x - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -31896676.479?\nAnswer: 31896676.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**2 + x**2 + x**2)*(2*x**2 + 3*x - 3*x) + 16 + x**4 - 16 as k*x + m*x**4 + j*x**2 + c + a*x**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:56 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 669 = -0*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(-1*sqrt(4)) - (1 + sqrt(44)).\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11) + sqrt(11) + -1)*-2.\nAnswer: -4*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/99 and -7 - (-38612)\/462*(-2)\/(-24).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(15\/7))\/k)**(-14))**10)**(-6\/17) assuming k is positive.\nAnswer: k**(1800\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110100111010 + -100?\nAnswer: -1110100111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1389, 2789, 4199, 5625, 7073, 8549?\nAnswer: 10059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggmmgmjhmtm. Give prob of picking 1 j and 1 t.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -5. Suppose i + 39 = -5*h. Let g = 33 + h. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -8\/31, -3\/2, -18?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1295\/6, -0.1, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 p when two letters picked without replacement from pppprppr?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 + 8)*(5*q + 2*q - 9*q)*(5*q**2 - 2*q**2 - q**2) in the form g + r*q + l*q**3 + p*q**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 5*h - 1. Let j(u) = 12*u. Let w(k) = 7*k. Let z(o) = 6*j(o) - 10*w(o). Give z(r(s)).\nAnswer: 10*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2425 - 0.0525. Let h = -2.1925 + l. What is h rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4882\/11 - 78893\/176. Calculate the common denominator of b and 3\/(-5) - (-564)\/40.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 75*n + 1. Let i be m(-2). Let h = -149 - i. Solve 3*j - 6 + 18 = h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1027606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40736792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 5*f + 1. Let g be ((-18)\/(-10))\/(48\/(-160)). What is r(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 21 = -12. Find the second derivative of 10*u**c - 3*u**3 + 15*u + 2*u**3 wrt u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/(((l**5\/l)\/l)\/l))\/((l\/((l\/(l*l*(l*l*l**1*l)\/l)*l)\/l)*l)\/l*l**(1\/5)*l) assuming l is positive.\nAnswer: l**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -16502*i - 4. Let s be -1*2 - (-1 - -1). Let h be m(s). Round h to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 17, -61, -15, -5 in increasing order.\nAnswer: -61, -15, -5, -1, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1072435741?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Let d be -1*(0 - (g - 0)). Suppose l = 3*f - 13, d = f - 2*l + 4*l + 5. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w + 3. Let a be m(-2). Suppose 4*x + x = 3*k + 10, -2*k + a = 3*x. Solve 3*q + 6 = -k*p, 3*q = 4*q - 2*p + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (434\/56)\/(15\/(-1800)*15).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -5\/2*f**2 - 1\/3*f**3 - 35 + 5*f - 1\/60*f**5 + 5\/24*f**4. Let q(u) be the second derivative of z(u). What is q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16540172 divided by 1?\nAnswer: 16540172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 508801859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l - 5. Suppose 8*z + 8 = l*z. What is the highest common factor of z and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 13*l**4\/6 - l**3\/6 - l. Let h be u(1). Solve y - h = -4*n, 5*y - 16 = -3*n + 24 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1550 (base 7) to base 2\nAnswer: 1001101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8798 - 8775. Solve 0 = -h + 3*m + y, -10*h + 5*h + 55 = -3*m for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p. Let z(j) = -j**2 - 133. Calculate z(s(u)).\nAnswer: -16*u**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*52.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-211 - 27*y + 211)*(9*y**2 + y - y) - 2*y**3 + 0*y - 3*y + 4*y to the form o + p*y**2 + d*y + l*y**3 and give l.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4951\/22 - -225. Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -8936*z - 14. Let x(i) = -13397*i - 22. Determine 8*l(u) - 5*x(u).\nAnswer: -4503*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2011012 + -21010220?\nAnswer: -11222201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 + 5382188*c + 5382189.\nAnswer: -(c - 5382189)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b2039865 - -5?\nAnswer: -b2039860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/55)\/(88\/(-165))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(7) - -6*sqrt(14)\/sqrt(2))*-3 + (5 + sqrt(7)*-2 + -1)**2).\nAnswer: -88 + 74*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 4:54 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11818971?\nAnswer: 3, 1313219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3564 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367*-51.\nAnswer: -18717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(-6))\/(-473*25\/13975)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(82\/(-86)) + -1. Which is greater: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 555 (b) 105 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 5*q - 13, -2*w - 2*q - 11 = -5*q. Let l = 3 - w. Solve l*p - 3*p - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*k - k, 3*k = -2*o + 11. Suppose -7*a + o*a + 2*n = -17, a + 5*n = 0. Solve -a*x - 1 = 3*j, j - 4*j = 6 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88451389 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15. Let b = -1447\/21 + 69. Is b >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/10 - 388*m**3\/15 + m**2\/5 + 388*m\/5 - 12767. Determine u, given that k(u) = 0.\nAnswer: -194, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 0*d**2 + 2*d**2)*(3 - 3 - 2*d) + 0 - d**3 + 0 + (-5 + 5 + 2*d**2)*(4 - 4*d + 3*d + 3*d).\nAnswer: d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {y: 6, n: 4, g: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -y**4\/12 - y**3\/6 - y**2. List the prime factors of c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 36. Let z be d(7). Calculate the greatest common divisor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10 - 12 - (5 + -1). List the prime factors of 15 + 1 + o\/(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1793, 1801, 1811, 1823, 1837, 1853, 1871?\n\"Answer: q**2 + 5*q + 1787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Suppose -w - y*v - 5 = -96, 338 = 3*w - v. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 103267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4.4, -1\/3, 0.3?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -284, -3, -0.28?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 58.48?\nAnswer: 175.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 8*h = 5*z + 201, 0 = 4*h - z - 181. Let l be 1 + -1*(h - -2). Let f = -35 - l. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*f**5*g**2 - 72*f**3*g + 42*f**2*g**2 + 326*f**2*g wrt f.\nAnswer: 360*f**2*g**2 - 432*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6 = 4*w, -1505*w + 12 = 2*x - 1504*w for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g*h**3*k + 997*g*h**3 - 2*g*h**2*k - 2*g*h**2 + 52*h**3*k + 414*h*k - 655 wrt h.\nAnswer: -96*g*k + 5982*g + 312*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 573534.3 days in seconds?\nAnswer: 49553363520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wswwrwwaaakrww. What is prob of picking 1 r and 1 s?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -38*n + 11*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 11) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/8 and 101\/480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-369 - -355) + (5 - (7 + -4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -6 (c) 5\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-4)\/16 + 4. Solve w*r = 2*y + r + 2, -2*r = -5*y + 19 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4295.762435 - -4294.45. Let o = a + 48.314915. Let t = -47 + o. Round t to 4 decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*z**3 + 2*z**2 - 39*z**4 - 3*z**2 + 6*z + 38*z**4 as n + y*z**3 + h*z**2 + x*z + s*z**4 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, s: 2, k: 2}. What is prob of sequence ks?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 7. Let g be f(-6). Let r = 13 + g. Let n = r + 146\/9. Which is the second biggest value? (a) 2 (b) n (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let t be 2\/6*9 + 0. Let w(q) be the second derivative of 0 + 0*q**t - q + 0*q**2 - 1\/6*q**4. Determine w(o(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*128*81\/(-18)*(-103)\/(-927).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 150 = -3*m - 106, 5*m = -11*h + 8*h + 64 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Product of 1902 and 1733.\nAnswer: 3296166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 1, p: 1, d: 2}. What is prob of sequence wa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65750 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 - -2. Let s = 70.1 + -70. Which is the closest to s? (a) z (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25540.5 years in millennia?\nAnswer: 25.5405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 6*o - 53*o - 827*o**2 + 953*o**2.\nAnswer: 126*o**2 - 59*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 3. Let x(w) = -4*w**2 + 10. Suppose 14 = 2*d - 4*d. Let s(m) = d*b(m) - 2*x(m). Find the first derivative of s(z) wrt z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6647729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2155*r**2 + 2*r + 2. What is the thousands digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/4)\/(2\/(-8)). Suppose 15 = d*b + 3. Suppose 0 = 3*q - b*q + 48. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 81 + (91 - 68) + -91\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 835.03 - 835. Is 0.29 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16*m + 1 - 1 - 2 - 2*m - 11*m - 3*m**2. Let q(a) be the first derivative of 2*a**3 - 7*a**2\/2 + 5*a + 2. Let r(k) = 4*q(k) + 9*s(k). Factor r(g).\nAnswer: -(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -362 + 704. Let o = -337 + a. Solve -q + o*q - 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3872\nAnswer: -3869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34\/5 + -316\/45. Let x = 10 + -7. Let o(v) = v**3 - 3*v**2 + v - 1. Let y be o(2). Which is the second smallest value? (a) k (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3 = 3*y, 0 = 49*y - 44*y. Let h = 0.16 + 6.84. What is the third smallest value in 5, h, j, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 0*t**2 + t**2 + (15*t**2 - 44 + t + 44)*(-1 + 0 + 3) to the form m*t + v*t**2 + k and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**9\/1008 - n**5\/40 - n**3\/3 + n. Let a(q) be the second derivative of p(q). What is the second derivative of a(o) wrt o?\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/7 - 23\/(-7). Suppose 0 = j*y - 2*y - 13. What is the remainder when (-6)\/(-10) + 756\/15 is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 + d**2 - 3*d + 5. Determine m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 77180409 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.873146 not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25\/91 + (-45)\/105\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 292, 439, 586?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = o - 23172, 0 = -z + 168 - 166. What are the prime factors of o?\nAnswer: 2, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20048 greater than or equal to 20051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 h when two letters picked without replacement from {e: 6, m: 1, x: 3, b: 3, h: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/11, 1130, 1\/7, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 + -12. Suppose 2 + 8 = 5*a. Suppose 0*n - i = -a*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 296552?\nAnswer: 2, 19, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 37*n - 144. Let r be (-1 + (-1)\/2)*(-312)\/117. Let s be g(r). Solve h = s*b - 9, -b - 2*h + 3*h = -3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10830 and 8144?\nAnswer: 44099760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 12*d**2 - d - 12. Let z be t(-12). What is the common denominator of 6\/5 and (-108)\/32*(6 + z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6170 + 18512\/3. Which is the second smallest value? (a) -7 (b) 1.7 (c) -2 (d) r (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6139*g = -6144*g - 4*k - 4, -13*k + 68 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7626676 + -3*(-3 + 3 - -1). Let z = 3416673 - d. Round z to the nearest 100000.\nAnswer: -4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -351990.00378475 minus 2?\nAnswer: -351992.00378475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlmm when four letters picked without replacement from lmrrhhlhmlhh.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/44924 and 133\/912978.\nAnswer: 1864301076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and 0.22.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a1d + -24?\nAnswer: 9d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001101010 - -111010?\nAnswer: -11000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8726473 is divided by 2908824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - 5. Let u be n\/10 - (-2)\/2. What is the nearest to u in -1\/2, -4, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t - 10. Let p be n(7). Let m = 59 - p. Let x = m + -44. Let b(j) = 9*j**2 + 6*j. Let r(i) = 26*i**2 + 17*i. Calculate x*b(c) + 6*r(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 22*b - 4*m = -16, -5*b - m + 8 = 0. Find the common denominator of 4288\/603 + (b - 8) and 1 + 6*2\/16.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**2 - 3*f + 2. Let t be x(2). Suppose -i + 3*k + t = 0, 4*i - 11 - 5 = -4*k. Solve -3*v = -2 - i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002064130346 rounded to seven decimal places?\nAnswer: 0.0002064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 477847 is divided by 4846?\nAnswer: 2939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/570 and 133\/270.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 489 - 438. What is the highest common divisor of 85 and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 232 = -76*p + 301 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 117 - 165 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -496967, -1987880, -4472737, -7951538, -12424283, -17890972?\nAnswer: -24351605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**4 - 15\/2*p**2 + 0*p**5 + 0*p**3 + 3\/10*p**6 - 13*p + 0. Differentiate v(g) with respect to g.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4038)\/(-16) - 22\/(1760\/30) is divided by 99?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g + 4*g - 5472 = -85*g. What is the greatest common factor of 11856 and g?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**3 - 12*r + r**3 + 4*r - r**2 + 3*r to the form h*r**2 + s + g*r**3 + n*r and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/sqrt(2) + 5 - (0 + sqrt(1053)).\nAnswer: -8*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3678017 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3567712 and -0.011?\nAnswer: 3567712.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/42*(-106)\/(38160\/(-108)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let x(d) be the second derivative of d**4\/12 - 3*d**3\/2 + 833*d. What is n(x(k))?\nAnswer: -k**4 + 18*k**3 - 81*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*v - 0*v. Suppose -4*t = t - 140. What is the remainder when t is divided by 10 - (3 + v + 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 3*x + 50, 0 = -3*f + 113*x - 148*x + 566 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.087 - -0.031. Let w = n + 0.056. What is the second biggest value in -0.01, -4, -0.3, w?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -91028*y**2 - 85455*y + 667. Let r(p) = -6502*p**2 - 6104*p + 46. Let f(l) = -2*d(l) + 29*r(l). Find the second derivative of f(g) wrt g.\nAnswer: -13004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 3) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, 1\/2, 0.06, -10\/3, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 less than -1.048270752?\nAnswer: 188.951729248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2341312248.\nAnswer: 2, 3, 11, 61, 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 + 6*w**2 + 15*w - 18.\nAnswer: -3*(w - 3)*(w - 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + 0*u**2 - 2*u**3 + 2*u**2)*(u**2 - u**2 - 2*u**2) + (4 - 1 + 1)*(-2*u**5 - 1 + 1).\nAnswer: -4*u**5 - 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/42)\/(2\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 721\/3*n - 1\/3*n**3 - 41\/3*n**2 - 2695\/3 = 0?\nAnswer: -55, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5447 is divided by 313?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*c = 21. Let g = c + 9. Let l(m) = 4*m - 2*m**g + m**2 - 1 - 4*m. Let b(v) = -15*v**2 - 12. Give -b(r) + 12*l(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9538*c + 19177*c - 9634*c.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920806679.\nAnswer: 13, 23, 37, 83233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 229748*p**3 - 6590891906*p**2 - 409297899984*p - 6347541508128.\nAnswer: -2*(p - 57468)**2*(p + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -1 + -3)*-6 - ((3 + sqrt(48) - (sqrt(3) - -5*(0 + sqrt(3))))*-3)**2.\nAnswer: -165 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -265 + 278.92. Let i = r - 14. Let l = 3.08 + i. Is -1\/2 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w**3 + w**2 - 1. Give b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2, 1\/2, 0.22?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -9. Suppose -2*v + 5*g = -9, 9 = j*v - g - 2*g. Suppose -5*t = -3*c - 9, 4*t - 19 = -3*c - 1. Solve -r - c = -v*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10744.908 take away 0.0151?\nAnswer: 10744.8929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1*2\/2)\/(-1). Let w be ((-46)\/(-4) - a)*4. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-2\/19)\/x))\/(x*x**(5\/2)*x) assuming x is positive.\nAnswer: x**(-129\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 1690 = 180*w - 525 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**2 + 171*g - 1027. Let k be l(14). Let m be 2\/(-5) - (-72)\/130. What is the biggest value in -0.5, m, k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 203, 304, 405, 506?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*t + 6785721 + 7257264 = 4743247. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - 3*84\/27. Let n(q) be the first derivative of -2*q**3\/3 + 3*q**2\/2 - 2*q + 2. Let t be n(1). Sort l, -3, t in descending order.\nAnswer: t, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27743 - 84?\nAnswer: -27837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883.151us to seconds.\nAnswer: 0.000883151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 + 609*b + 377. Let u(f) = 18*f**2 + 3653*f + 2256. Let r(o) = 3*u(o) - 19*x(o). What is the first derivative of r(m) wrt m?\nAnswer: -6*m - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djcj when four letters picked without replacement from jduduucuddjjudju.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**3 + 113*w**2 - 61*w**2 - 52*w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(8390 - 8390 - 63*i).\nAnswer: -126*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93250308 or -93250303?\nAnswer: -93250308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 352, 830, 1318, 1822, 2348, 2902, 3490?\nAnswer: 4118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -8*a + 25. Suppose -3 + 18 = -a*p. What is the remainder when 45 is divided by (24\/6)\/(p\/(-12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2739, -2738, -2737, -2736, -2735, -2734?\nAnswer: -2733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013 take away 38?\nAnswer: -38.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*q = 2*q + 8, 4*q = -8. Suppose -z - 9876208 = -h*z. Let l = z - -13976208. Round l to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -477*h + 86*h - 7038 = 0 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*i - 85*i - i**3 + i**2 - 2 - 5 to u*i + b*i**3 + j*i**2 + k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 5*z**2 - 183*z - 119. Let x be h(37). Which is smaller: -263\/6 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1343 + b7a?\nAnswer: 21c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 8*s - 611 + 576 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2679936, 2679463, 2678988, 2678511, 2678032?\nAnswer: 2677551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -13, 4, 3, 589, -1 in increasing order.\nAnswer: -13, -2, -1, 0, 3, 4, 589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**4 + 7*q**3 - 4*q**2 - 2*q + 3. Let k(o) = -3*o**4 - 5*o + 5*o**4 - 3*o**4 - 3 + 4*o**2 - 8*o**3 + 7*o. Let j(i) = 6*d(i) + 5*k(i). Factor j(s).\nAnswer: (s - 1)**2*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 2)*1 + 0. Solve -2 = -q*g + 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145776 or -28.8?\nAnswer: -28.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 80, 168, 264, 368, 480?\n\"Answer: 4*i**2 + 76*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.35 * -3.3.\nAnswer: 1.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 227021 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*g + 164, 4*g - 2*q - q = -156. Is -36 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1196 and 63\/1198?\nAnswer: 716404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + 0. Suppose -84*v + 190 = -17*v - 11. What is the nearest to 0.3 in -4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -18642?\nAnswer: -18646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (3\/9)\/((-1)\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.6363ng in kilograms?\nAnswer: 0.0000000000706363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -122094 by -20349.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 262*r**2 + 286*r**2 + 190*r**2 as b*r**2 + k*r + q and give b.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 12 - 8. Suppose -10*u = -104 + s. Calculate the greatest common divisor of 115 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 10:45 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2331020230 + 2031?\nAnswer: 2331022321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10630 and 1420?\nAnswer: 1509460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -4, 3, 8, 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 239921727*d - 190209426.\nAnswer: 239921727","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - -2 - 23 - -14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000057704 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12732015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f**3 - 4*f**2 - 49*f + 2. Let s(l) = -40*l**3 - 33*l**2 - 392*l + 17. Calculate 2*s(m) - 17*x(m).\nAnswer: 5*m**3 + 2*m**2 + 49*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f - 4. Let r be l(-3). Solve r = -2*m - 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 3*d + 4. Let q be p(6). Calculate the smallest common multiple of (-4)\/(-3)*(-6)\/(-1) and (4 - 3\/1)*q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13972775, 55891105, 125754987, 223564421, 349319407, 503019945, 684666035?\n\"Answer: 13972776*o**2 + 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y - 41*y - 497 = -97. Solve y*a - 125 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + u + 7*u**2 - 4*u + 35.\nAnswer: 7*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:49 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 87 - 6. What is the remainder when g is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*c + 4*c - 2*c + (0 - 1 + 3)*(103*c + 36*c - 13*c))*(-18 + 5 + 50) as k*c + n and give k.\nAnswer: 9398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*46\/(-23)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28458 + 3428 + 32104 = 79*m. Calculate the remainder when m is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 2*c**2 + 3*c**2)*(1051*c - 1051*c + 1209*c**2).\nAnswer: 2418*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 9*r - 33 = 0, 0 = -74*r + 75*r for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20678849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 0.18, -37, 0.2, -0.325 in increasing order.\nAnswer: -37, -1\/2, -0.325, 0.18, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -3) + -32 + 14 + 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.19? (a) 0.5 (b) -3 (c) 1080\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*q + 16 = -2*q, w - 4*q - 16 = 0. Let z(k) = -14*k - 495. Let m be z(-35). Which is the third smallest value? (a) 1.7 (b) m (c) -0.5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 0*r - 4*r = -465, -h + 69 = -4*r. Let l = h + -52. Suppose -8 = -5*z + l. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 4 + 4 - 2)*(8*m + 3 - 3) in the form u + w*m + i*m**2 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f + 64 = 63*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**7\/273 - 4*w**6\/65 - 2*w**5\/65 + 32*w**4\/13 - 256*w**3\/39 + 75*w - 2. Factor m(r).\nAnswer: -2*r*(r - 2)**2*(r + 8)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 106 = -y, 3*y = 6*y - 6. Let i be (1409\/c)\/(1\/(-2)). Let u = 78 - i. What is the common denominator of u and 77\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*k**4*l - g*k**4 - 7*g*k*l - 30*g*l + 5*g with respect to k.\nAnswer: -4*g*k**3*l - 4*g*k**3 - 7*g*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 34. Solve -z = -3*o - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171118 + 171230 = -7*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -193, -3, -25, -5 in ascending order.\nAnswer: -193, -25, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 5*v**2 - 5*v + 8. Let y be c(-6). Determine w, given that -161 + 8*w**2 - 60*w - 17*w**2 - 139 + 6*w**y = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 111, 203, 295, 387?\n\"Answer: 92*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38081.352 + -203.\nAnswer: -38284.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/9)\/(2\/3). Suppose 0*l = -l + d. Calculate the greatest common divisor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-56))\/((-36)\/56)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/(-6)*2\/20. Which is smaller: h or 1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5476508590 to the nearest integer?\nAnswer: 74003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*(-1 + (-2*sqrt(1088)*1*-1 - 1*(sqrt(1088) + -1*sqrt(1088))*6))**2*-3.\nAnswer: -130590 + 960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30144199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 13368*c + 11168964.\nAnswer: 4*(c - 1671)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((sqrt(360)\/sqrt(8))\/sqrt(9))*-6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggg. Give prob of picking 2 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0502 * 0.5\nAnswer: 0.0251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 44*s + 971. Give a(4).\nAnswer: 1147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4266797 milligrams in grams?\nAnswer: 0.0004266797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(1881\/24))\/(-4). Is k greater than or equal to 0.924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3 - 2*p + p + 0 - 5*p. List the prime factors of b(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 196*f**3\/3 - 15344*f**2\/3 + 4372*f\/3 - 104 = 0.\nAnswer: 1\/7, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2890*q**4 + 5 - 264*q - 1676*q**4 + 488*q**4 - 371*q**4 wrt q?\nAnswer: -53388*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 8:42 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(84) + -2*sqrt(84) + sqrt(84)))\/(3*(sqrt(12) - -3*sqrt(12)) + sqrt(12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194*r**2 - 192*r**2 + 7*r**4 + 390*r**2 + r - 4*r + 3*r**3 to the form j*r**4 + m*r**3 + y*r**2 + p*r + u and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/106, -24\/11, 0?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.5, -4, 4913, -0.5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 192917 = -p - 2*g + 192913, -28 = 4*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11713 is divided by 666?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34172 - 8823. List the prime factors of b.\nAnswer: 25349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.9323 and 1567261?\nAnswer: 1567262.9323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Let n = 92 + -99. Let j be 0\/(-5) - (w - n). Is j at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjnlljjjjjtjjj. Give prob of sequence tlj.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 16) to base 7.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6987 = -18*o + o. Suppose -61 + o = 7*m. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10863\/(-765) + 1\/(6 - 3\/3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7831115 and 61.33854.\nAnswer: 7831176.33854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57 - 45 + 11)*(9*c - 9*c + 30*c**2)*(-4 + 2 + 1 - 2*c**2).\nAnswer: 5460*c**4 + 2730*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-p + 0*p + 0*p)*(2 - 1 + 0 + (-12 + 0 + 0)*(2 - 2 + 1)) as q + m*p and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5826 + -20074020.\nAnswer: -20074020.5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3244202 - -22?\nAnswer: 3244224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e8e5 - -1?\nAnswer: 3e8e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -312*t**3 + 10*t**3 - 183*t**3 - 293*t**3 + 80*t**3 + 863*t wrt t?\nAnswer: -4188*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 4*k + 4*k**3)*((-1 - 2 + 5)*(2*k + 0 + 0) + 0*k - 3*k + 2*k) - 4*k**4 - k**4 + 4*k**4.\nAnswer: 11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 divided by -41100061?\nAnswer: -16\/41100061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -831 - -834. Let j(y) be the first derivative of 1 + 7*y + 0*y**2 + 0*y**4 + 0*y**p + 4\/5*y**5. What is the first derivative of j(l) wrt l?\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m = 47*m - 181924 - 378426. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, j: 1, e: 1, r: 1, b: 1}. What is prob of picking 1 r and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*w = 12842 + 423 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 138*i + 84*i - 1500859 + 606643. Is i a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 7*x**2 + 6*x + 4. Suppose m - 12 = -4*c, 2*m - c - 60 = -18. Let g = m + -14. Let j be a(g). Solve 2*s + 2 = 0, -2*n - 2 = -3*n + j*s for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -8. Suppose b*j - 29 - 15 = 0. Let u = -8 + j. Calculate the greatest common divisor of 24 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/(220\/29795)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 11:26 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*d - 14, 9*d - 8*d = -i + 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14195 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + j + 630. Let v be x(0). Let q = -699 + 709. Suppose -p - v = -q*p. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2124, 9579, 22378, 40521?\n\"Answer: 2672*i**2 - 561*i + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 184765*m. Let h(t) = t. Give p(h(v)).\nAnswer: 184765*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + -77. Let n(w) = w + 10. Let x be n(t). Solve 0 = 3*i + 2*d + x, -4*i - 2*d = -5*d + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4\/8 - 255*b**3\/8 + 257*b**2\/8 + 255*b\/8 - 32 = 0.\nAnswer: -256, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of -1\/30*g**5 + 0 + 0*g**4 - g**2 + 0*g**3 + 0*g. Let b(x) be the second derivative of -2*x**3\/3 + 10*x. Determine z(b(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21385478*a + 10070474 wrt a.\nAnswer: -21385478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363695665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fourty-one halves of a tonne?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*l**3 - 1 + 7*l**3 + l**4 + 13*l**4 - l**2 in the form u*l + g*l**3 + m*l**2 + r*l**4 + z and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-10)\/6 - (-8)\/(-12). Suppose 3*s + 5 = -j, 2*j - 23 = 2*s + 3*s. Put s, 2, z in descending order.\nAnswer: 2, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15872200 to the nearest one hundred thousand.\nAnswer: -15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 8:17 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10067438 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**3 + 0*a**3 + a**3)*(2 - 4 + 0).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/(-6) + (-2)\/3. Let f(y) = -4*y + 4 + 5*y + 8 + 5. Let m be f(v). Calculate the greatest common factor of 132 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25 in -3, -25\/2, -2.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-4)*(-54)\/45. Let w be (2\/(-3))\/((-7)\/u*-3). What is the nearest to w in 0.2, 5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(-5 + sqrt(30)\/(sqrt(6) + sqrt(6)*2) - (2 + (-3*sqrt(245) - sqrt(245)))) + -1.\nAnswer: -31 + 340*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3108, -3110, -3112, -3114, -3116?\nAnswer: -3118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2992 in -1\/4, -2\/15, 3, 0.118?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8175 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 237 divided by 3\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44393 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1708 and 74669490.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2)*-11*9\/(-33)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 598 and 806.\nAnswer: 18538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*s - 1212*s + 37 = 4*r, r - 39 = 5*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29907 or 29908?\nAnswer: 29908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -20 + (26 - 41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9\/17, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12065575 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-350)\/75*18\/(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2152774567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*x + 10 - 5 = 0, -4*x = 2*a - 24. Let z be 14 + (-2 - -2)\/a. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302388384.\nAnswer: 2, 19, 283, 13381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532*i**3 + 26344*i**2 - 367540*i + 990288 = 0.\nAnswer: 468\/133, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t + 3. Let x = -81 - -85. Suppose 5*b + 26 = -x*d, -2*d + 20 = -b - 2*b. What is s(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3314 is divided by 473.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14899875?\nAnswer: 3, 5, 39733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -21328 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -29.\nAnswer: -10\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319 = -536*t + 492*t - 297 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 673507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -839 = -54*p + 79 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 49578671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + s - 7 = 0, 3*s - 126 + 98 = n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*r + s, -3*r + s + 46 = 6*s. Let n(g) = -3*g. Let u be n(-1). Is r - (-2)\/(-3)*u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9977 (b) -164 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 157, -0.067, 0.156?\nAnswer: 0.156","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-21) - 3059\/(-4165). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-45)\/(-12))\/(((-25)\/(-5))\/20). Solve 3*n = -3*f - k, 5*f + 2*n + 9 = n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + 0 + 5 + 9 - (-5 - 5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -287913478*i**3 - 95*i**2 + 389318*i wrt i?\nAnswer: -1727480868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1872) + sqrt(1053)*2 + sqrt(13).\nAnswer: 1 + 31*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3405)\/3178*84\/(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x + 7*x + 49 + 34. Is s(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 5*m. Suppose 2*x = -u + 189, -5*x - 3*u = -m*u - 475. Calculate the greatest common divisor of 23 and x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 7*f**2 - 8*f + 1. Let c be t(-8). What is the least common multiple of (-11 - (-8 + c))*110\/(-8) and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 72 = 2*t. Let y be (0 - 1*(3 + 0)) + 21. Let m be 158\/y + 4\/t. Solve -5*j - 2*h + 7 = -14, j + m = 4*h 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 15390 and 1140?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 3, m: 13}.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216 divided by -16220.\nAnswer: -54\/4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*s - 28 - 3, 4*s + 57 = a. Let r be (s\/(-26))\/((-2)\/(-32)). Solve 2 = -5*t - r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n - 8. Let d be f(-10). What is the second derivative of -14*r**d + 8*r**2 + 69*r**2 - 53*r wrt r?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3\/4 + 5*z**2\/2 + 11*z + 6 = 0. What is z?\nAnswer: -2, -2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wxw when three letters picked without replacement from {w: 2, c: 4, v: 4, l: 1, x: 6}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - v = -0*d + 17, -13 = 3*d - v. Let t(w) = 64*w - 6. Let k be t(d). What is k rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/10)\/p**(-2\/9))\/(((p\/(p*p**(2\/55)\/p))\/p)\/p**(-1\/36)))**(2\/43) assuming p is positive.\nAnswer: p**(259\/42570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 4*m**2 + 5*m + 2. Let f be t(-5). Suppose 0 = -x - x. Let l = 4 + x. Sort l, f, -1\/3 in decreasing order.\nAnswer: l, f, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywwwyywyyyy. Give prob of sequence yy.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w + 423 - 405 = 0. Sort 38, w, 4 in increasing order.\nAnswer: w, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 1. Let s be 3\/(-9) + (-16)\/(-3). Suppose -s*j = 4*h - 134, -3*h = -j - 4*h + 27. What is the remainder when j is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) -4 (c) -41860\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3)*n)**(6\/11))**13 assuming n is positive.\nAnswer: n**(-156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(0 + 1 - 2) - 1 + 3 + 3 - 4 - 3 + 3)*(9*c - 14*c - 4*c)*(0*c + 2*c - c).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**3*o**3 + 2*f**3*o**2 + f**3*o - 4*f**2*o + 2742*f**2 + 2845*o**2 + 5*o wrt o.\nAnswer: 120*f**3*o + 4*f**3 + 5690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 3*s**2 - 15*s - 11. Let z be o(-4). Let k = 151 + z. What is the remainder when k is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-644)\/(-138) + -2 + -6. Let n = -1 + 1. Suppose -2*o - 4 = -n*s - 3*s, -o - s = 2. Is k less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*c = -62*c - 50. Let a = -2 + c. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295413?\nAnswer: 7, 26437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 12*w + 6. Let h(d) = 7*d**2 + 6*d + 6. What is the units digit of h(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/6*3 - 2. Suppose 4*v - 14 = z. Let w = -7627 + 7628. Sort w, -1, v.\nAnswer: -1, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 18, 49 in increasing order.\nAnswer: -9, 18, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 25*o**2 - o - 2. Let b(u) = -u**2 - 7*u - 11. Let q be b(-5). Let n be a(q). Calculate the greatest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/63)*q*q\/q**(-31)*q assuming q is positive.\nAnswer: q**(2144\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2 + 4*r + 35. Let m be o(-6). Let a = 368 - m. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r**(1\/6))\/(r**(-1\/3))**(-9\/7))**(-38) assuming r is positive.\nAnswer: r**(-4313\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 q when four letters picked without replacement from {h: 6, q: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 58688 - 104088. Round x to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1792628000 rounded to the nearest one million?\nAnswer: -1793000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r. Suppose 7*g = -3*o + 3*g + 3, -2*o + 1 = 3*g. Suppose 3*x + 11 = -0*i - 2*i, i + 23 = -o*x. Let s(m) = i - 3*m - 2. Calculate s(j(h)).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*s = -0*s - 9, -3*s = 2*l + 5. Let v = l + 12. Is v less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Suppose -o*b + 5 = b. Suppose 17 = -4*t + 25. Calculate the highest common divisor of t and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186\/520 + 635\/(-12700).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + -10?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(484)*-4)\/sqrt(11) + sqrt(44))*-2*-3)\/(sqrt(32)\/(sqrt(8)*2) + sqrt(576)*1).\nAnswer: -36*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6916 and 23959.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 124803 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**2 + 4*v**2 - v**2 + (0*v + 3*v - 2*v)*(-v - 2*v + 0*v) - 2*v**2 - 2*v**2 + 7*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 510220457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -1\/7 (c) -31\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 85 + -88. Let o be 4\/6*-3 - -4. Suppose -b = -o*s - 10, -b - 2 = s + 3. Put b, -2, j in ascending order.\nAnswer: j, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 3092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-3655)\/(-610) + -3. Let m = z + 1529\/488. Find the common denominator of 25\/11 and m.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 + 82*n + 687. What is t(34)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*q = 8486 - 8678 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 210988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**8\/420 + 8*r**7\/525 + 2*r**6\/75 + 6*r**2. Factor z(m).\nAnswer: 4*m**3*(m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35511366619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 2 + 3 - 29*g + 6 + 2*g**2 - 25*g in the form o*g**2 + k + t*g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4290 - 4281. Put 24, -2, x in decreasing order.\nAnswer: 24, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from mscrrrecr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*l = -14, -12*c - 2*l + 6 + 11 = -17 - 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40\/159, -125088, 0.1?\nAnswer: -125088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1434795 greater than -1434796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -755 (base 8) to base 12\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - 0.125. Let p = k + 0.082. What is p rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 91*i**4\/4 + 6*i**2 - 15*i - 79. Is q(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -6*l + 16. Suppose 0 = l*d + x - 12, 3*d + 3*x - 5*x = 9. Let o be 10*24\/16 - (22 - 10). Solve -5*r - o*i + 0 = -d, -2*i = 2*r - 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-75))\/(2\/(12\/(-2)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 0*j = -2*j - 7, t - 2 = j. Suppose -t*q + 5*k - 11 = 0, -q + 4*q + 2 = -4*k. Let x be ((-68)\/(-2))\/(0 - q). Solve 0 = -5*s - x + 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**5 - 37*r**4 - 24*r**3 - 4*r**2 + 193*r + 5 wrt r?\nAnswer: -120*r**2 - 888*r - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*r - 1 + 48*r + 7*r + 51*r as s*r + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4\/3)\/z*z**22*z)**(-1\/8))**(1\/25))**(1\/17) assuming z is positive.\nAnswer: z**(-31\/5100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 840 = 45*a. Let t be (-7 - -15)*(-2)\/(-2). Let c be (20\/t*a)\/(2\/1760). What is c rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - (-4170)\/24. What is the second derivative of -5*c - 2*c**3 - 174 + f wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 3\/4, -2\/7, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 o when four letters picked without replacement from {c: 3, o: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**4\/5 + 16*b**3\/5 + 12*b**2\/5 - 16*b + 10 = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 11) to base 6.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4328 + 4328.2. What is the nearest to 0.06 in -1\/23, d, -16?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - (3 + -12 - -3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + w**2 - 2*w - 139. Let s be y(0). Let p = 144 + s. Calculate the lowest common multiple of p and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3474, -7021, -10760, -14787, -19198, -24089?\nAnswer: -29556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**4 - 6*g**3 + 6*g**2 + 2*g. Let o(m) = -5*m**4 + 6*m**3 - 6*m**2 - m. Let k(j) = 4*o(j) + 3*q(j). Factor k(h).\nAnswer: -2*h*(h - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 28 + 0 + 0 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 20 + 77*n - 76*n)*(4*n + n + 10*n) as t + c*n + j*n**2 and give j.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) - (2*sqrt(3) + sqrt(3)))*-6 - ((sqrt(90)*-1)\/sqrt(6))\/sqrt(5) - (sqrt(441)*2)\/(sqrt(15)\/sqrt(80) + sqrt(3) - sqrt(3))*-1.\nAnswer: 69*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 304278\/20 - (99\/10 + -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-16))\/((-17)\/(-68))*33\/(-990)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 11:03 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-21)\/9)\/((-8)\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -3*a. Suppose 3*i = -k + 2*i + 2, a = 4*k - i - 18. Let l(d) = 1 - 2*d - 5*d + 6*d. What is l(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1224*x**2 + 831*x**2 + 77*x**4 - 6*x**3 + 2052*x**2 wrt x.\nAnswer: 1848*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2981, -3101, -3307, -3605, -4001, -4501, -5111?\n\"Answer: -s**3 - 37*s**2 - 2*s - 2941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2*h*m**3 + 5*g**2*m**2 - 43*g*m**3*o**2 - 2*h*m**3 + 14*h*m**2 - 2*h*m*o**2 - 2*m*o**2 wrt m?\nAnswer: 18*g**2*h - 258*g*o**2 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*l - 1980 = 0, -4*o + 9*l + 3992 = 7*l. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 47*b = -45*b + 22, 8*b = -5*u - 74 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2034134 (base 5) to base 7.\nAnswer: 200106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -2)\/(2\/((-8)\/3)). What is the first derivative of 30 + 3*h**4 + 10*h**4 - 2*h**n - 23*h**4 wrt h?\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50400710?\nAnswer: 2, 5, 5040071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 5*a - 3*a - a - 5. Let v be (1 - 18\/(-5)) + (-24)\/(-60). Let l be p(v). Is -1 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 31 + 15*f**2 + 60.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-42)\/(-28)) + 6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5226 - -434?\nAnswer: -4462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 0*j**5 + 0*j**4 + 14*j + 0 + 0*j**6 + 0*j**2 + 13\/42*j**7 - 3*j**3. Find the second derivative of i(v) wrt v.\nAnswer: 260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -866*x - 3178*x**2 - 359*x - 2144*x - 211*x wrt x.\nAnswer: -6356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -16*s - 136. Let b(d) = 3*d + 26. Let f(r) = 11*b(r) + 2*w(r). What is f(10)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = 20. Suppose 3*i + 23 = 2*u, -m*u = 2*i - i - 15. Sort u, -5, 5 in ascending order.\nAnswer: -5, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 i, and 1 z when four letters picked without replacement from {z: 3, n: 4, i: 3, r: 1, e: 8}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 233209*q**4*z**3 - 25*q**3*z**2 + q*z**3 - q*z**2 - 2*q*z + 1166*q + 211*z**2 + 3*z wrt q?\nAnswer: 2798508*q**2*z**3 - 150*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1308834 + -41259. Let g = x + -1267577.619713. Let c = g + 2.62. Round c to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) 4 (d) 0 (e) 0.01 (f) -1.646\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78310.\nAnswer: 2, 5, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1174*x**2 + 218*x - 392. Let n be q(67). What is n rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 6 = -3*m, 95 - 103 = -m + s. Solve -m*d + 4*f = -6, -5*f + 7*f + 16 = -5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523068239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*(-143)\/44*148\/(-3367)?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7629232 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 6*m - 36. Let r be g(10). Solve 8*i - 6*i = r for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4146 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b + 85*b = -39*b - 910 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + j + 5. Let o(w) = 5 - 4 + 2*w + 7. Suppose -43 = 9*z - 7. Let r be o(z). What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 10*y = 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*o + 16 - 4, 2*o = -5*r + 22. Suppose -r = -4*z + 3*z. Let k(d) = 6*d - 3*d**2 - 3 - 2*d - 2*d**2 + z*d**2. Determine k(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-12) + 20\/3. Suppose -5*o + 31 = 2*d, 2*o + 2*d = 3*d + j. Suppose o*s = -15 - 10. Put s, -4, 1 in descending order.\nAnswer: 1, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 197 - 199. Suppose 0 = g + 5*l - 1, 19 = -2*g + l - 34. Let v be (-18)\/8*g\/(-30). Is p bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/15*q**4 - 1744\/15 - 1166\/5*q**2 + 4364\/15*q + 176\/3*q**3 = 0.\nAnswer: 1, 2, 436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + 317242?\nAnswer: 317249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 48 + (-9 - 5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -16*b**2 + 2*b - 2. Let f(c) = -2 - c + 1 + 2 - c**2 + 0 + 0*c**2. Calculate -2*f(l) - z(l).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -91\/17?\nAnswer: -91\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.837741 hours?\nAnswer: 13815867600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**4\/24 - 2*f**2. Let x(t) = 6*t - 3. Let l(g) = -3*g + 1. Let o(p) = -3*l(p) - x(p). Calculate a(o(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*p - 13. Let y(a) = -12*a**3 + a**2 + 6*a - 3. What is the remainder when y(p) is divided by 58?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13157, -27924, -44329, -62378, -82077, -103432, -126449?\nAnswer: -151134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 3:29 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/12 and (4 + 2)*(-54)\/16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/45954)\/(1\/23)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rh when two letters picked without replacement from {h: 4, r: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84941 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/11 (b) -8 (c) 2\/15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*15609.16.\nAnswer: -93654.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 83*z**8\/14 - 111*z**4\/8 - z**3\/6 - 5378*z**2. Find the second derivative of c(g) wrt g.\nAnswer: 39840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 207 or 285?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61 and 10309.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2))**2*-5 + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/12)\/(1\/(3\/4)). Let m = -0.11 - 3.89. Let x = -6 - m. Which is the nearest to h? (a) -3\/2 (b) 4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**5\/3 - 530*g**4\/3 - 23742*g**3 - 856156*g**2\/3 - 2231117*g\/3 + 1053010 = 0. What is g?\nAnswer: -307, -210, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 5, -3\/4, 0.2, -0.5, 10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - ((-3 - -1) + -1). Suppose -3*k + v = -k. Suppose 0 = 2*g - 11*g + 27. Do k and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8843660.\nAnswer: 2, 5, 7, 181, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 7*a**2 + 9*a. Determine v(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*1323\/(-42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79801054?\nAnswer: 2, 61, 654107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18762 = 5*f + g, f + 2933*g - 3754 = 2932*g. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/3*(-5)\/40*-4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -598, -1217, -1836, -2455, -3074, -3693?\n\"Answer: -619*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/16*-268*5\/(11 - 26)\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 - 103972*j**3 - 1802077200*j**2 - 10420202677500*j - 114404316468750.\nAnswer: -2*(j + 11)*(j + 17325)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 42. Solve g = l + 4*t, -1 = -t + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z. Let h(n) = -8*n + 222. Let m(y) = h(y) + 3*o(y). Suppose 3*i - 12 - 141 = 0. Calculate the remainder when i is divided by m(39).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 35. Let d be (14\/35)\/(b\/15). Solve -1 = 5*m - d*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 6*f - 2*f + 4, 0 = 2*f - x - 4. Suppose 3*q + f*v - 482 = -v, -4*q + 608 = -2*v. What is the greatest common divisor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32686069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/66*-1*3\/(3\/(-8)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 706758?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3)**(-8\/9)*c**(-3)*c**(-3\/7) assuming c is positive.\nAnswer: c**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a + 918 - 925 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {c: 3, k: 4, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 118887254 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i**2 + 79*i + 324. Give l(-13).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**2 + 4*h + 3. Let v be y(-2). Let b(p) = 3*p**2 + 4*p + 3*p**v - 5*p**3 + p**3 + 2 + p**2. What is b(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1064)\/518)\/1 + 2.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by -135.\nAnswer: -17\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**5\/11 + 48*o**4\/11 - 232*o**3\/11 - 724*o**2\/11 + 234*o\/11 + 676\/11 = 0.\nAnswer: -2, -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-16 - -14) + (7 - 8) + -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 6668321?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 1:55 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31591, 30407, 28439, 25693, 22175?\nAnswer: 17891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 125653, 252177, 378711, 505255, 631809, 758373, 884947?\n\"Answer: 5*z**2 + 126509*z - 861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13015 - -3?\nAnswer: 13021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 4682 + 4638 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86741445?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3*-1*sqrt(5))**2 + -3 + (-2*sqrt(80) - sqrt(80)))*-6 + -5.\nAnswer: -287 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(20\/25)\/2. What is the remainder when 159 is divided by 4*s*(225\/(-10))\/9?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-437)\/(-1216)*16*-4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1440)*-2)\/sqrt(8))**2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + k + 75. Let m be 6\/(1 + -3) + (4 - -4). Suppose -k = -m*p - 0*p. Calculate the remainder when 8 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 788344406\/999957 + 126\/47617. Suppose 0*i - 3*u + 2376 = 3*i, -u = -i + 784. Let r = s - i. What is the common denominator of -38\/3 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/15)\/(-2)*59\/(4484\/(-38))*5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -11*m - 31. Let g(r) = r**2 - r - 10. Let j be g(m). Solve -5*s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-20))\/((-14)\/(-35)). Let f(w) = -1. Let p(g) = -5*g + 30. Determine a*p(m) - 30*f(m).\nAnswer: 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -3, -5.\nAnswer: -54, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5205547 * -0.1\nAnswer: -520554.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5088\/1060 + 39\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 14*f - 12. What is the tens digit of m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 + 17. Suppose -2*k = -k. Let h = a + k. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5121785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 3 - 2657*v + 2 + 2650*v as l*v + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/7, 19\/3, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 5*t**2 + 2*t + 7. Suppose 3*r = 10 + 23. Calculate the remainder when j(5) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 - -2. Let r = -26 + 31. Let f = x - r. Which is the smallest value? (a) -0.4 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1194*q - 1195*q - 1199*q + 3589*q. Let r(z) = 1041*z**2. Calculate r(h(v)).\nAnswer: 1041*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32449 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b. Let a(p) be the second derivative of p**5\/60 - 2*p**3\/3 - 2*p. Let u(r) be the second derivative of a(r). Determine u(j(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19280*n = -18286*n - 38766 for n.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 39486355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/17 (b) -0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 3 + 1 - 5 + 300*y + 619*y to the form w + z*y and give z.\nAnswer: 919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -7. Which is the nearest to -1? (a) 2 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 95, 374, 839, 1490, 2327, 3350, 4559?\n\"Answer: 93*q**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 - -60. Put -1, -0.09, y, -7 in decreasing order.\nAnswer: -0.09, -1, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1. Let k(m) = -7. Let f(x) = -k(x) - 6*w(x). Let j(z) = -4*z**2 - 7 - z - z + 3*z**2. Calculate -5*f(t) - j(t).\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2019768.\nAnswer: 2, 3, 23, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (342 - 342 + 5*t)*(4 + 0 - 5) + (-3*t + 0*t + 6*t)*(-3 + 0 + 5) + 2*t + 0*t + 0*t to j + n*t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by (-7)\/(-1)*4 - -3.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 61*r**2 + 61*r - 56. Let v be a(-62). Solve -2 = -v*w - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -629, -1241, -1867, -2513, -3185, -3889, -4631?\n\"Answer: -d**3 - d**2 - 602*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 24 = -4*k. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2311 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: Round 18656311 to the nearest ten thousand.\nAnswer: 18660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10527\/35090)\/(((-1)\/45)\/(-1))?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 18*p**2 + 8*p - 72. Give r(-16).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-3) + 262 + -3. Let m be ((-42)\/15)\/((-2)\/u). Suppose 7*l - 3*l = m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - -7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 k when three letters picked without replacement from {k: 8, c: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/3 - (2 + 1). Suppose -5*v + 19 + 27 = f*m, -4*v + 20 = 0. Sort m, 0, -5.\nAnswer: -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3091 - 2*h**2 - 1763*h**4 + 0*h - h + h + 861 wrt h?\nAnswer: -7052*h**3 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30717)\/64847*(-1)\/(-3)?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*h + 120*h = 693 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3, -15, -47, -99, -177, -287, -435?\n\"Answer: -w**3 - w**2 - 8*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-111)\/189*15\/4. Let s = t + 71\/12. Are s and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 185 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 13*c - 9. Let k be s(-12). Suppose 4*j - 21 = -k*l + 1, -8 = 4*j. Let r = 3 - -1. What is the smallest common multiple of r and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5146*p**2 + 3*p + 15. Let n(b) = 319051*b**2 - 185*b - 925. Determine 3*n(a) + 185*s(a).\nAnswer: 5143*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eyhee. Give prob of picking 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 + 169. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/100)\/(6\/450*-5).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/2 - 27198171*a\/2 - 13599086 = 0.\nAnswer: -1, 27198172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1011010001100110 (base 2) to base 4\nAnswer: -23101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3787 and -9\/5410?\nAnswer: 37870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by 6\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a meter in centimeters?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1309467968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*y**4 - 2 + y - 29*y**4 - 30*y**4 to the form d*y**2 + c + u*y**4 + q*y**3 + p*y and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 1. Let j(z) = 2*z**3 - 5*z**2 + 5*z + 10. Let l(o) = -o**3 - 1. Let d(q) = j(q) + 4*l(q). Let y(a) = d(a) + 4*m(a). Is y(4) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 8*c**2 + 0 - 3)*(0 + 0 + 3*c**2 + (-2 + 2 - 2*c)*(58*c - 30*c - 22*c)) to d + v*c**2 + q*c + a*c**4 + t*c**3 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 458?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*m**6*q - 169769*m**6 + m**2*q + 3*m**2 + 15*m*q - 7*m - 6 wrt m.\nAnswer: -360*m**3*q - 20372280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065741369?\nAnswer: 3, 7, 11, 19, 43, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 33 = 82 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 9*o**2 - 18*o - 1. Let s be j(-6). Is -6\/35 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + t + 4. Let z be f(0). Suppose -2*d + z*d + 8 = -4*w, 0 = 2*w + 8. Calculate the remainder when (80\/3)\/4 - (-32)\/(-912)*19 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 19. Does 15 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2408225943 to the power of 1\/3, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j + 32*j = 55*j + 40374. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 5, 3, 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28611756 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2946 is divided by 510?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9) + (-796)\/(-6). Suppose -4*t = -0*t - c. What is the highest common factor of 11 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u + 5. Let q(d) = -3*d + d - 9 + 11*d. Let x be 1\/1 + -2 + 7. Give x*q(t) + 11*m(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + sqrt(450)*1 + sqrt(18) - sqrt(18))\/(sqrt(99)\/(sqrt(11)*1)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 83*c + 1626. What is p(-42)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17990 - 11109. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 212494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2790 by 558.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19.33 - -22.33. Which is the fourth smallest value? (a) 0.289 (b) f (c) 0.1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/(j**(-3\/5)\/j))\/j*j\/j**(3\/14)*j*j*j*(j\/(j*j**(-4)))\/(j\/(j\/j**(-20)*j)) assuming j is positive.\nAnswer: j**(2197\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxzywxf. Give prob of sequence fry.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-2107)\/147*(-6)\/(-5).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -191 - -195. Suppose g + 29 = 5*m, -3*m + 23 = -2*g - 0*g. Find the second derivative of m*h - 5*h**4 + 3*h**t - 6*h wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15 - -3)\/(4*2\/(-4)). Suppose f - q*f = -70. Suppose -2*d = 6 - f. Calculate the smallest common multiple of d and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(475)*-1 + -4 + 4)*-3 + -2.\nAnswer: -6 + 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1946, -3894, -5842?\nAnswer: -7790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r - 58*r + 8785 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -449\/3 (b) 1\/2 (c) -1\/3 (d) 0.04 (e) -0.132 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + -2. Let n(y) = 19*y**3 - 8*y**2 + 3*y + 7. Let o(g) = 39*g**3 - 18*g**2 + 7*g + 16. Let a(h) = 9*n(h) - 4*o(h). Determine a(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070371 is divided by 3625?\nAnswer: 3621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = 11*h + 181 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -2*p. Suppose -g = -p*v + 9, v - 3*g - 19 = -v. Let -2*n**v - 73*n**3 + 4*n**2 + 75*n**3 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201 - 1320 = 5*j + 3*x, 4*j + 1236 = 4*x. Is 6198\/14 - (7 - j\/(-42)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38 in -0.3, -0.5, -0.60751?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -94223, -188446, -282669?\n\"Answer: -94223*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 175624 and 2494.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 691, 1364, 2029, 2686?\n\"Answer: -4*s**2 + 685*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 5*t = -15, 26*s + 3*t = 45*s - 57 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-168)\/140)\/((-3)\/35). Solve 11*o - s*o + 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1771865515.399+2\nAnswer: -1771865513.399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 280.5171 centuries to millennia.\nAnswer: 28.05171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14284456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27176763 + 27176763 + o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21515479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*m + 62*m - 228*m + 60*m + 51*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/6)\/g)\/g)\/g*g*g\/(g\/g**14)*g*g)\/((g*g**(2\/65)*g)\/(g*g**16*g*g)) assuming g is positive.\nAnswer: g**(12143\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**4\/24 + 8*o**3\/3 + 14*o**2. Let k be h(-13). Let i(a) = 8*a. Is 15 a factor of i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 170, 165, 158, 149, 138?\n\"Answer: -t**2 - 2*t + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5060417004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1259, -1260, -1261, -1262, -1263, -1264?\n\"Answer: -w - 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**4 + 131*l**2 - 204*l - 138*l**2 - 201*l + 403*l - 3 in the form q*l**2 + v*l**3 + y + a*l + p*l**4 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/24 - a**3\/2 + a**2. Let d be c(3). Suppose d*p = 5*p. Solve h + 2 = -p*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by 32\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 336670*u - 336505*u + 8085 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 9*x**2 - 4*x**2 + x - 3*x - 6. Let w be l(-5). Suppose w*r = 6*r - 4. What is the lowest common multiple of r and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*a = -55*a - 65*a + 1043 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81 - 26. Let m be (-2 - 3)\/((-5)\/d). Suppose -2*p - 5*v = -m, 20 = 5*p + 4*v - 160. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllswwqsssqwssss. Give prob of sequence ww.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c**3*s**2 + 8*c**3 + 7272528*c**2 - 2230172*c*s**3 with respect to s.\nAnswer: -8*c**3*s - 6690516*c*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2874 + 6832. Let u = m + 7393. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - 15, -3*q - 24 = 3*z. Let i = -2.4 - -2. Which is the smallest value? (a) -3 (b) z (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, 0, -2221, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 9*t - 9. Let b be 3\/(-3) - -5 - 2. Let a(n) = -2*n**2 + 18*n + 19. Let s(o) = b*a(o) + 5*d(o). Let p be s(11). Solve 7*w = 2*w + p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2648875900 to the nearest one million.\nAnswer: 2649000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13588339.\nAnswer: 151, 89989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*f**6 - 10488*f**5 + 2*f**3 + 12*f**2 + 11669.\nAnswer: 960*f**3 - 629280*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*5*(1 + sqrt(363) + -3)**2 - (0 + 1*sqrt(363) + (sqrt(363) - 4*(-1 + sqrt(363))**2)).\nAnswer: -1210*sqrt(3) + 10631","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/105*-14)\/((-312)\/60)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/320)\/((-2)\/(-400)*3).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 26*s**2 + 122*s - 25. Let h be q(30). Calculate the highest common factor of h and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9814504 and 1715.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (448 + 393 + 99)*(-3*h + 5*h + 0*h).\nAnswer: 1880*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (342888\/(-15))\/(-4) - (-36)\/180 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*g + 110*g - 28*g)*(4 - 6 + 1)*(-3 + 5 - 3) as w + q*g and give q.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -213, -473, -837, -1305, -1877?\nAnswer: -2553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j - 14. Let f(x) = -x**3 + 3*x**2 + 3*x - 3. Let b be (-5 - 2) + (0 - -10). Let i be f(b). Give h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -933\/40 - -117\/5. Find the common denominator of o and 59\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327261, -654485, -981711, -1308939, -1636169?\nAnswer: -1963401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 516*x - 520*x - 12 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 349*d + 325. What is the hundreds digit of u(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1266\/186 + -7)*(-54)\/(-162)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -570 = -573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -9002 to the nearest one hundred.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-18)\/22) - (2 + -3). Which is greater: b or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 136 = 6*q + 100 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -3*c + 324, -3*o + 178 = -4*c - 40. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o + 5. What is the units digit of a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44191607738 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144218*j**2*l + 5*j*k - j*l**3 + 6*j*l + 25*k*l**2 + 163747*k*l - 2*l**3 + 3*l**2 with respect to j.\nAnswer: 288436*j*l + 5*k - l**3 + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 176 divided by 44\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20753017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 339 + -297. Find the first derivative of 50*s - x + 44*s - 17*s wrt s.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -80, -143, -206, -269, -332?\n\"Answer: -63*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.01, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 2 - 4. Let a be 15\/l*70\/(-25). Solve g - 5*j - 14 = 0, -g + 3*j + a = -3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16120*j = -16128*j - 8 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q - 4*q - 3*q)*(2 + 6 - 3) - 3*q + 0 + 0 to x*q + s and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -134408 and 41\/21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 186?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 12*c - 11. Let w be q(-13). Suppose 0 = w*f + 5*f - 10430000. What is f rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 + m**2 - m + 1. Let q be g(2). Factor -19 - 4*b + 7*b + q + 3*b**3 - 6*b**2.\nAnswer: 3*b*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 + 703*f - 14070. Calculate w(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-32)\/(t**(-2\/11)\/t) assuming t is positive.\nAnswer: t**(-339\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13746*d**2 + 1135*d + 929706664 wrt d?\nAnswer: 27492*d + 1135","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.1, -221, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 - 31*g - 100. Determine j(-12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35330867*i**3 - i**2 + 88*i + 250040 wrt i.\nAnswer: 211985202*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1599, 3142, 4675, 6198?\n\"Answer: -5*h**2 + 1558*h + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1607 less than -0.1?\nAnswer: 1606.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -331, -344, -357, -370, -383, -396?\n\"Answer: -13*i - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**3\/17 + 20*s**2\/17 + 2*s\/17 - 20\/17 = 0.\nAnswer: -1, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(0 + 0 - c)*(-6*c**2 + 18 - 18).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1282*t**4*z**2 + 17*t**2*z**2 - 5*z**2 + 1185*z wrt t?\nAnswer: 5128*t**3*z**2 + 34*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21*(-25)\/(30\/(-6)))\/(1440\/(-60480)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8654512?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 195?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1912980734 to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 7 = -8. Is 2*893\/8 - q\/(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*-1)\/sqrt(11) - (sqrt(7) + (3 + 0 + sqrt(7) - sqrt(7)))**2.\nAnswer: -16 - 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 519.46um in centimeters?\nAnswer: 0.051946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17087 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -15*l + 756. Suppose l = x - 119. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -6*f**3\/7 + 270*f**2\/7 + 1782*f\/7 + 2754\/7 = 0.\nAnswer: -3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 208141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/(o\/(o\/o**(1\/4))))**(-6)\/((o**(3\/2)\/o)\/(o**4*o*o*o)))\/((o**(2\/3))**3)**(-35\/2) assuming o is positive.\nAnswer: o**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1 (b) 64\/11 (c) 0.2 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 q when two letters picked without replacement from {f: 8, w: 5, q: 2, t: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j. Let g(z) = -4174996*z - 8. Let m(s) = 6*d(s) + g(s). Suppose 58*i + 24 = 52*i. Let h be m(i). What is h rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -12 + 5 + 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 69 = -4*p + y, 2*y = -8. Suppose -2*c + 8 = 0, -4*n + 15 = 3*c - p. Solve -n*r + 3 - 7 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -52*i + 401 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 82 = -27. Let k be (m\/15)\/((2\/(-2))\/(-39)). Which is greater: 7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 65 and 0.133?\nAnswer: 8.645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -48398 in descending order.\nAnswer: -2, -5, -48398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 586009 + 553*z - 586009 to the form a*z + k + p*z**2 and give a.\nAnswer: 553","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10134300231 (base 5) to base 7.\nAnswer: -154634052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6115.402ml in litres?\nAnswer: 6.115402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-70))\/((-29)\/(-145)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -3\/22 (c) -0.1 (d) 1\/8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1795865?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/8 - (-18)\/(-8). What is the common denominator of (-1 - (-53)\/11) + m and ((-63)\/10)\/((-55)\/(-275))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, -5555, -8, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 25\/(-35) + 1 + 0. Let r be (560\/(-150))\/(-7) - (-2)\/(-5). Which is the second biggest value? (a) z (b) -1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58959959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*u + 3 + 16*u - 2 to the form q + d*u and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 6 = 32*h + 313 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/4*(-4 + (-1 - -1)). Suppose -4*l = 5*m + 4, l + 7*m = 4*m - 8. Put -3, c, l in decreasing order.\nAnswer: l, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 x when four letters picked without replacement from bvsosxxubsubvx.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**9\/5040 - m**7\/504 + m**4\/2 + 6*m. Let l(o) be the third derivative of v(o). What is the third derivative of l(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 7, -3\/2, 2\/11, 0.65, -36, -0.5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20995 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 1, i: 5, m: 1, g: 3}. What is prob of sequence gc?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29257000 rounded to the nearest 100000?\nAnswer: 29300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.7 - 58.7. What is the fourth biggest value in 0.3, 1.2, 0.5, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-10)\/a*a**(-27)*a assuming a is positive.\nAnswer: a**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 3. Let r(x) = -2*x + 5. Let a(q) = -4*r(q) - 7*w(q). Suppose 14*v - 92 = -9*v. Let d(p) = 6*p**2 - 24*p + 5. Let k be d(v). Give a(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 332 and 3889804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/4)\/(3 - (-162)\/(-52)). Let x = -10 + l. Let c = 14 + x. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**2 + a + 5. Let k(x) = -3*x**2 + x + 5. Let u(h) = 2*j(h) - 3*k(h). Let r be u(4). What is the second derivative of -3 - r*l - 5*l**5 + 3 wrt l?\nAnswer: -100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -9\/23945686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5226 and 37023402.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (5 + -13 + 10) - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-5*(4 + (sqrt(891) - (sqrt(891) + -1 + sqrt(891) - sqrt(891))*4) + sqrt(891) + sqrt(891))*1*-3)**2)*6.\nAnswer: -194400*sqrt(11) + 1289250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/10 and 79\/15964.\nAnswer: 79820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2427, 4848, 7265, 9678, 12087, 14492?\nAnswer: 16893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/b**(-3\/20) assuming b is positive.\nAnswer: b**(43\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - (-4)\/(-1) - -2. Let i = -879\/7 + 128. Find the common denominator of -3 + u\/20*-43 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 16, 5 in decreasing order.\nAnswer: 16, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-8 - 4 - 3)*(-2 - 4 + 4) + 0 + 0 + 2)*(-3*w + 5*w + 5*w**2 + 3*w).\nAnswer: 160*w**2 + 160*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2783 and 11?\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((-2)\/(-2)))\/(76\/(-38))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8203418 - 7?\nAnswer: 8203411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 67*t**2 + 118*t - 3394. Calculate a(68).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -9\/7, 14, 0.06, -1009?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1192513 to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Suppose 0*q = -3*q - 2*p + 16, 2*p + 2 = 0. Let s(j) = -j + 0*j - 2*j + 2*j**2 + j + 2*j**2. Give q*f(h) - s(h).\nAnswer: 2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -932, -65, -1, 6.\nAnswer: -932, -65, -1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**8\/1680 + k**7\/420 + k**6\/360 - 5*k**3\/6 + 3*k. Let c(j) be the second derivative of p(j). Factor c(d).\nAnswer: d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1617 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(78*j**2 + 6*j**2 + 866*j - 865*j).\nAnswer: 168*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 6 = 6*c. Suppose 4*w - c*w + 80 = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -401*f + 392*f. Suppose -4*t + d = -4, d + 2 = -5*t + 4*d. Find the third derivative of -11*u**f + 16*u**2 + 5*u**5 - 17*u**t wrt u.\nAnswer: -360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**3 - 21480*m**2 - 47824575*m - 31153586250 = 0.\nAnswer: -3005, -1150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7.721338cm?\nAnswer: 77.21338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 10*n - 11. Calculate the remainder when 8 is divided by k(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - 9*y + 12. What is q(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78166?\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - i - i)*(-4*i**4 + 3*i**4 + 0*i**4) + (0*i + 3*i - 5*i)*(-i**4 - 17*i + 17*i).\nAnswer: i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -177, -397, -697, -1071, -1513, -2017?\nAnswer: -2577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 212 + -210. Suppose 0 = i + u*l - 41, 0 = -i - 5*l + 12 + 20. What are the prime factors of i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.32 in -0.0716, -5\/2, -240, -0.4?\nAnswer: -0.0716","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*g + 52 - 52.\nAnswer: -1381*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2010 by -1005.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4634273792?\nAnswer: 2, 83, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 4. Let h = 0.06 - 0.16. Which is the closest to l? (a) -5 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -8 - -6 - (0 + (-2 - 4982)). Suppose 8*v = -1150 + r. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9 = -b, 3*b + 11*u = 7*u + 21. Suppose -b*k - 4*g + 2078 + 416 = 0, -3328 = -4*k - 4*g. List the prime factors of k.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30\/4*6\/5. Calculate the highest common divisor of b and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8959 in 1\/44, 0.5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -320 - -320. Suppose 0 = 3*f + 3*l + 3, -7*f + 3*f - 5*l = b. What is the third smallest value in f, 1\/4, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 - 37*d**2 + 42*d - 61. Let q be i(36). Let u be 713\/q - (-1 + (-6)\/(-10)). Solve 2*p + 11 = 3*h, 0*p + u*h = -3*p + 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 7*w - 3. Let s be i(6). Let f = s - 3. Let y = -11.86 - -6.86. Is y greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9551974.758 from 929.\nAnswer: 9552903.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*1\/((-6)\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*u = 473 - 1794, h + 339 = -u. Let r = 493 + h. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 12102222210110100?\nAnswer: 12102222210110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 3857?\nAnswer: -771.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -17*g + 187. Give b(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 263 + -234. Is 29 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15 - 14 + 21*i + 79*i - 20*i**2 - 3*i**3 wrt i?\nAnswer: -18*i - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -230100 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 563 - -12796.8.\nAnswer: 13359.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174823468*t**5 - t**2 + 157*t - 433?\nAnswer: 10489408080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 85 = w. Suppose -5*y = 5*u + 5, 2*y = -3*u + 3*y + w. Find the first derivative of 3*z**3 - u*z**3 + 2 - 4 wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20976 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -366*a**2 - 1928*a + 2213778?\nAnswer: -732*a - 1928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c = 729. Calculate the highest common divisor of 27 and c.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n*n*n**50)\/n)\/n))\/((n*n**(-24))\/n))**31 assuming n is positive.\nAnswer: n**(-775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51 + -97. Let t = -112 + 164. Let l = z + t. Which is greater: 9 or l?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208067 is divided by 127.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 28022442*w - 28022439.\nAnswer: -3*(w - 9340813)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/8 - 1197*d\/4 - 2631447\/8 = 0.\nAnswer: -819, 3213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2342*q - 4679*q - 4*j - 16 = -2339*q - j, 27*j + 270 = 0 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqkkkkk. What is prob of sequence kqk?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, -0.4, 0.2, -3537, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 1, -10 in decreasing order.\nAnswer: 68, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-16)\/i**(-9))\/(i\/(i\/(i\/(((i\/(i*i\/(i\/(i\/(i\/((((i**(6\/19)\/i)\/i)\/i)\/i))))*i))\/i)\/i*i)))*i*i*i**31\/i) assuming i is positive.\nAnswer: i**(-728\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19260 + 19260.5. What is the closest to 5 in 0.3, s, 1\/13, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28425?\nAnswer: 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 231678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8.3. Let v(n) = 3*n**2 + 25*n - 13. Let t be v(-10). Suppose -t = -5*o - 27. Sort -1\/10, -4\/5, o, z.\nAnswer: -4\/5, -1\/10, z, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*z = 490, 5*z + 615 = -5*h + h. What are the prime factors of (h\/(-6))\/5*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {y: 4, w: 2, t: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**3 - 4*q**2 - 2*q + 4. Let n(k) be the second derivative of -k**5\/20 + k**4\/12 + k**3\/6 - k**2\/2 + 50*k. Calculate -g(p) - 4*n(p).\nAnswer: -3*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7279476 centuries in months?\nAnswer: 873.53712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-36))\/((-10)\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30192161 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 231 + -134. Suppose -4*m = -4*n - 424, -m - 3*n + n = -o. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2))\/p)**(-20)*(p\/(p\/(p\/(p\/(p**(-1\/2)*p)))))**25)**(25\/4) assuming p is positive.\nAnswer: p**(2625\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (70\/1120)\/((-2)\/(-64)). Solve -2*f - 1 = -23*k + 26*k, f = a*k - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -628 - -621. Is (6 + q\/1)\/(1\/(-16355)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11788 or 11784?\nAnswer: 11784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265.8 - 266. Let w = 0.1 + 3.9. Let m = -19 - -19.1. What is the closest to m in 5, w, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77882291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 187.\nAnswer: 4\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1242425?\nAnswer: 5, 49697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, 1121 in increasing order.\nAnswer: -0.2, 5, 1121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9 + 1 + 1 - 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 - 101. Let k be (-8)\/2 + 2 + (-1 - 0 - -26). Let v = c - k. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 167600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x**(1\/34)\/x)\/x)\/x)\/x)\/(x**(6\/7)*x))\/((x*x**45)\/x**(1\/4)) assuming x is positive.\nAnswer: x**(-24551\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 9, 0, -13, -30, -51?\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -212 + 239 + (5 - -1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.52482 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 50 + 22 + -20. Suppose v*y - 6 = 50*y. Solve -3*k - y + 0 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 5, -2\/77, -0.6, 4, 0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:03 PM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1000011110 (base 2) to base 16\nAnswer: 21e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from {r: 5, i: 3}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 + 15*f + 18*f + 40 as h + q*f and give q.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/2))**(-8) assuming a is positive.\nAnswer: a**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, u: 6}. Give prob of picking 3 x.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -38067 and 753.119.\nAnswer: -37313.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let f(n) = 57*n - 10. Let y(w) = -185 + 56 + 65 + 55*w + 56. Let g(d) = 4*f(d) - 5*y(d). Calculate g(o(h)).\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k - 187*k**3 - 51*k**2 - 2*k**4 + 197*k**3 + 3*k**4 wrt k?\nAnswer: 24*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1896080 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 8*v**2 + 21*v - 3. Let r be g(10). Let l(u) = r - 16*u**2 - 9*u - 24*u**2 + 41*u**2. Determine l(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 6, b: 4, j: 1, n: 2}. Give prob of picking 1 j, 1 b, and 1 n.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368*c - 394*c + 73*c + 315 - 315.\nAnswer: -689*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 90*q**2 - 85*q.\nAnswer: -5*q*(q - 17)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 206 - 206 - 40*h + (h + 3*h - 2*h)*(-4 + 2 + 1) - 4*h + 5*h + 0*h + (-1 + 5 - 3)*(-h + h + h).\nAnswer: -40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -12. Suppose 0 = -j*g + 7*g - 352. Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10099*l = -10090*l - 54 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1007.69 and -1.983.\nAnswer: 1998.24927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 877919?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.24. Let x = -0.04 + s. Let h = 1\/12 - -1\/4. Which is the closest to -0.1? (a) -2 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-479328)\/(-8))\/((-4)\/10). 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: Evaluate ((-12)\/(-255))\/((-2)\/5).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Calculate -1793085 divided by 7.\nAnswer: -256155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -295\/6533 or -1?\nAnswer: -295\/6533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830 minus -0.4?\nAnswer: 2830.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -8*o**3 - 8*o**2 + 19*o - 2. Is k(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-65)*7*-13.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-2) - (-30)\/(-9)*(-192)\/65\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and -0.077039759?\nAnswer: 0.477039759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*t + 79*t**2 + 9*t - 3*t**2 + 2*t**4 - 6 wrt t?\nAnswer: 24*t**2 + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*h + 4*h + 7*h)*(-3 - 1 + 2)*(-2 + 2 - 2*h) + (h + 0 + 0)*(-h + 3*h + h) as y*h + i*h**2 + g and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18254.764 rounded to the nearest one hundred?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 12. Let a be j(-8). Put a, -2, 5, 0.06 in ascending order.\nAnswer: a, -2, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, c: 1, r: 1, g: 3}. Give prob of picking 1 l and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8900 is divided by 128.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(68) + -1 - sqrt(68)))*-1 + 6*(sqrt(68) + sqrt(68) + 1 + -4))**2 + -3.\nAnswer: -912*sqrt(17) + 10150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2000 - -0.277\nAnswer: -1999.723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, -1\/4, 1\/6, -5, 0.037, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 8*a - 53 + 23, -15*p - 4*a - a = -105 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = 5. Suppose 3*n = 5*m + 18 + 16, n - r*m - 23 = 0. Suppose h = 4*c - 3*h - 304, 4*c + n*h = 311. What is the highest common factor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*l**3\/9 - 28502318*l**2\/9 - 6549412*l\/9 + 1940576\/9 = 0.\nAnswer: -60643, -2\/5, 8\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*x**4 + 8806*x - 33907 wrt x?\nAnswer: -40*x**3 + 8806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 6\/5, -30.1, 2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 57 = -n. Is 28 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u + u + (-3 + 2 - 2)*(23*u - 4*u + 10*u))*(-6 + 0 + 1)*(1 - 4 + 4).\nAnswer: 425*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 4. Suppose 3*u = 2*k - k - 32, -4*u = -4*k + 32. Calculate the remainder when ((-2)\/3)\/(4\/(-138)) is divided by p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 s when four letters picked without replacement from {s: 5, t: 4, a: 1, i: 3, f: 3, g: 1}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 922 divided by -4?\nAnswer: -461\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -171, 5, -2\/20401 in descending order.\nAnswer: 5, -2\/20401, -0.28, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 - 91\/126. Let h = 25\/72 + z. Let y = -2 + 2. Does y = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*n + v + 1, 2*v = -5*n. Suppose 0 = n*c + 9*c - 572. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q + 1. Let o be k(4). Let b = o - -23. Suppose 2*j + b*t = 8, 2*t = -j + t + 7. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 8) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v + 321 = 3*p, 3*v + 219 = 2*p. What is the least common multiple of (1 - 2)\/((-2)\/42) and p?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -3116429?\nAnswer: -6232858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*c - c. Let o be 3\/(-6)*0*c. Put -3, 1\/5, o in decreasing order.\nAnswer: 1\/5, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.5 - -16.7. Which is the third smallest value? (a) 3 (b) l (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 minus 7477.11?\nAnswer: -7478.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14123 divided by -1045\nAnswer: 14123\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 5. Let t(q) = -q**3 + 6*q**2 - 3*q - 5. Let c be t(5). What is x(c)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86 divided by 6?\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454210?\nAnswer: 2, 5, 53, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -108*t**5 + 6732*t**4 + 397704*t**3 - 15581224*t**2 - 587372380*t - 194044900 = 0.\nAnswer: -35, -1\/3, 199\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 278 + -170. Let c = -60 + q. Is 7 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t**2 + 3*t - 3. Let h(y) = 24*y**2 + 7*y - 7. Let w(k) = 3*h(k) - 7*o(k). Let q = 1247 - 1243. Let z(d) = -3*d**2. Give q*w(f) - 15*z(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27 + -20. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-6) + (-2)\/(-6). Let r be -8469489 + s\/(6\/3). Let m = -3869488 - r. What is m rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5285432 divided by 14057?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -76.98 + -27.2. Round u to the nearest integer.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000097229 to 7 dps.\nAnswer: -0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 88 - 49. What is the remainder when i is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5}. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -10, 27*r = -3*c + 23*r + 215. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.094? (a) 1\/3 (b) -6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 2707 = 2827 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 208, 39.5, 1, -4\/5 in ascending order.\nAnswer: -4\/5, 0.2, 1, 39.5, 208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34175, -34262, -34413, -34634, -34931?\nAnswer: -35310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-64)\/168*2937\/2. Let x = -21347\/42 - h. Let a = x - 51. What is the second smallest value in -22, a, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 5 = 16*u. Let k be 1\/(10\/4)*-1. Which is the closest to k? (a) u (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/(y**(-1\/4)*y)*(y**(-2\/5))**(-14))\/(y\/y**(-3\/2)*y**5)**40 assuming y is positive.\nAnswer: y**(-5963\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 845\/16 + -5059\/112. Let u be (-353)\/(-525) - (-4)\/(-6). Let x = u - 5081\/1050. What is the common denominator of x and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, i: 7}. Give prob of sequence ivv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -124*h - 357. Let a be s(-3). Solve 0 = 12*y - 9*y - a, 0 = -5*m + y - 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/690 and -35\/18?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21580 and -0.2.\nAnswer: 4316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25316278?\nAnswer: 2, 13, 271, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 32?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1569124\/11 or 142648?\nAnswer: 1569124\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 45 = 6*b. Let n = b + -3. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*g + 66 - 15, 4*f - 3*g - 50 = 0. Let z = f + -6. Suppose c = -2*u - 4 - 1, -2*c + 4*u - 2 = 0. Sort 4, z, c in ascending order.\nAnswer: c, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*t**4 + 346*t**3 + 12*t**4 - t**2 - 3*t**4 - 188*t**3 wrt t?\nAnswer: 48*t + 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1256 (base 11) to base 5.\nAnswer: 23014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/3)\/(54*55\/4455)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 4*t - 2. Let s be h(-4). Let g be 2\/(-1 + s\/(-6)). Put 3, g, -2 in increasing order.\nAnswer: g, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122 and 0.2.\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + sqrt(125) + -4.\nAnswer: 1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 309375.54?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*s**3 + 5*s**3 - 2*s**2 + 3*s**3 wrt s.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((3 - (5 + -6 - -6)) + -5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of x**5\/20 - 3*x**4\/8 + 9*x**2 - 18*x. Let d(s) be the first derivative of u(s). Factor d(c).\nAnswer: 3*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -2. Suppose -7 - 15 = -4*j - n, 4*n - h = -4*j. Let x be (-1 - 1)*-1 + 28. Calculate the highest common divisor of j and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8081510 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/60 - m**4\/4 + 5*m**3\/6 + 6*m**2 - 5*m. Calculate i(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/((-4263)\/(-6)))\/(8\/(-7)).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cqnqnffcqqqqc. Give prob of picking 1 f, 1 c, and 2 n.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j + 17. Let c be (2*3 + 5 + (-80)\/16)*-2. Give m(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -4. Suppose v*d - 4 = 3*d. Let x = 4 + d. Solve -3*u + 6 = -x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2579ba940 - 0?\nAnswer: -2579ba940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1072, 8426, 28342, 67102, 130988, 226282, 359266?\n\"Answer: 1047*d**3 - d**2 + 28*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 760 and 491720?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.6547 + -0.2873. Let h = -0.058 + g. Which is the fourth smallest value? (a) 2\/17 (b) 0.1 (c) h (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -188*f + 479. Give j(3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d - 7. What is r(-11)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28815792802 and -2137.\nAnswer: 28815790665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 5682.7.\nAnswer: 17048.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204 is divided by 68.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 5\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18675176 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 8976*u + 6714048.\nAnswer: 3*(u + 1496)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 273456660 divided by -87\nAnswer: -3143180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.056374 to 3 decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1308*w = -651*w - 660*w - d - 22, -5*w + 2*d + 66 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 222.909 meters?\nAnswer: 222909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27320 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g - 38*g + 23 = 5*i, 0 = 3*i + 5*g - 5. Solve -i*c - 4 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**3 - 44*j**2 - 298*j + 56. Determine k(-9).\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1465, 4684, 10049, 17560, 27217, 39020?\n\"Answer: 1073*a**2 + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -14) + -1 - 18\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -33 - 34 + 44*x + 67. Let l(o) = -o - 56. Let i(h) = 2*h + 154. Let g(m) = -4*i(m) - 11*l(m). Give g(v(b)).\nAnswer: 132*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -8 - -53 - 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - (-12 - (-42 - (-5 + 26))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 70.210339\nAnswer: 35.1051695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(264)*-6)\/(sqrt(8) - sqrt(40)\/(2*sqrt(5))))\/((sqrt(21) + sqrt(336)*3)\/(-2*sqrt(112))).\nAnswer: 192*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -34. Let l(w) = 23*w - 3. What is the tens digit of l(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1122240 - -5?\nAnswer: -1122231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 1424.\nAnswer: 5696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.22017mg to grams.\nAnswer: 0.09522017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*i + a, -11*i - 3*a - 15 = -12*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 8:14 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from {b: 3, d: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - n = -8, 1 = 3*a - n - 11. Let d be (-8687)\/34*(2 - 0). Let u be (-6)\/(-45) - d\/105. Solve u + a = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -314 + 12440?\nAnswer: 12124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 28756 = -107054. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2257867*d = 2257846*d - 714 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 not equal to 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 9*o**3 + o**2 + 4. Let x(u) = 26*u**3 + 3*u**2 + 11. Let v be ((-88)\/(-32))\/((-9)\/(-36)). Determine v*j(q) - 4*x(q).\nAnswer: -5*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*k - 1851 = 1716. Let d = 31 - 27. Sort -5, k, d.\nAnswer: -5, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -8, -1\/2, -0.1, 8 in descending order.\nAnswer: 14, 8, -0.1, -1\/2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 + -5)\/(1236\/84) - (-2 - -8).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -296.502216 - 0.1151\nAnswer: -296.617316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 435*r**2 - 30001*r - 975. What is a(69)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d8bd (base 14) in base 3?\nAnswer: 1002020001212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-28)\/40*24\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361435 is divided by 59354?\nAnswer: 5311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7\/6 + 47\/30. Which is the third biggest value? (a) q (b) -5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -v**2\/2 - 2*v - 11. Let h = 4 + -2. Let f(q) = 2*q + 3. Determine h*f(a) + 3*x(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*s**3 - 1602*s**2 + 10392*s + 3520.\nAnswer: (s - 44)*(s - 8)*(31*s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -6. Let z = c + 3.88. What is z rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from fdfffdf?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14324 (base 12) to base 9.\nAnswer: 42501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*m - 71*m - 72*m - 9*m.\nAnswer: -220*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 12*u**2 + 12*u - 7. Let v be n(11). Suppose -v*d = -4*g + g - 60, 48 = 3*d - 3*g. What is the highest common divisor of 84 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15600995, -31201998, -46803003, -62404010, -78005019, -93606030, -109207043?\nAnswer: -124808058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11468, 22626, 33784?\n\"Answer: 11158*i + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - d**2 - d**2 - 4*d**4 - 2*d**4 + 5*d**4 to c + t*d**3 + o*d**2 + f*d**4 + u*d and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 29 (b) -5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.31 + -0.31. Put 0, t, -3 in decreasing order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*x = -x + 2, -5*t = x + 6. Is (-862)\/t + (5 - 4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 944 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-187)\/(-119) - (22\/14 + -1). Solve 4*u + 9 = y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9348, 18313, 27264, 36195, 45100, 53973, 62808?\n\"Answer: -z**3 - z**2 + 8975*z + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*f - f = 55640, 2*f = -w - 11128. Calculate the remainder when (27\/(-33) - -1) + w\/(-143) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, k: 1, i: 2, v: 1, f: 5, m: 1}. Give prob of sequence fmi.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 86657.95km in meters?\nAnswer: 86657950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -38\/661, -0.05, 0.1, 0, 5?\nAnswer: -38\/661","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -8, 15 in ascending order.\nAnswer: -8, -0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 344 - 344.00013012. What is k rounded to six decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 245*y**2 + y. Let m(r) = -r**2 - r. Suppose 5*q = 2*i + 9, 5*q + 3 = -i + 6. Let h(j) = q*f(j) + 4*m(j). List the prime factors of h(1).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 669190 is divided by 19682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1814.81 times 0.5\nAnswer: 907.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 65*u**2 + 3*u - 2. Suppose 3*o = 4*o - 1. Let d be a(o). Let c(k) = -73*k**3 + 0*k**2 + d*k**3 + 1 - k**2 + 0*k**2. Give c(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6b - -9d?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -1 + 2 + (-474)\/30.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**4\/(u\/((((u\/(u*u**(-9)))\/u)\/u)\/u))*(u\/((u*u**(1\/3))\/u))\/u*u\/u**9)\/(u*(u*u*u**3)\/u*u*u**(-4\/5)*(u\/(u*u\/u**(1\/3)*u))**(-10\/3)) assuming u is positive.\nAnswer: u**(-454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 491 - 872. Let h = w - -363. Let r = 164\/3 - 54. Which is bigger: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/3)\/5 - -13*(-26)\/845. Let q(w) be the second derivative of 8\/3*w**3 - i*w**6 + 4\/3*w**4 + 0*w**2 + 2\/21*w**7 - 3\/5*w**5 + 0 + 38*w. Factor q(c).\nAnswer: 4*c*(c - 2)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*(w*w*w*w**(-1\/4)*w*w*w)\/w*(w**(2\/9)\/w)\/w*(w**(-3\/4)\/w)\/w**(1\/4) assuming w is positive.\nAnswer: w**(71\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 12 = -0*r - 5*p, 2*r - p + 6 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kikh when four letters picked without replacement from {i: 4, p: 7, h: 4, k: 3}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 14.42264?\nAnswer: 14.42264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -32 + 10*a**2 + 71*a**2 + 0*a + a + 30. Let d(m) = -10*m - 89. Let f be d(-9). What is the units digit of b(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = v - 182, 8*v = 2*x + 3*v - 80. Suppose -2*r = r - x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.02 (c) -1 (d) 0.22 (e) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2 = -16, 3*i - 5748 = -3*j. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0)**(-2\/53)\/((f*f**(-2\/3)*f*f*f)\/f*f**(-6)) assuming f is positive.\nAnswer: f**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 5*p + p + p. Let b(q) = 14*q + 269. Let s(u) = -6*u - 124. Let i(z) = 6*b(z) + 13*s(z). Determine i(h(r)).\nAnswer: -12*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, y: 4, s: 2, d: 8}. What is prob of sequence ykyk?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6587 is divided by 161?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33 and 0.0809.\nAnswer: -32.9191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 + 2*a - 17 - 15*a as u + l*a and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -432, -428, -414, -384, -332, -252, -138, 16?\n\"Answer: n**3 - n**2 - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601019 is divided by 47?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3733132\/11 + -339085. Let v be (9 - (0 + 11)) + -290. Let d = x + v. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -12*k**2 - 4*k + 12. Let t(d) = 19*d**2 + 6*d - 18. Let s be 2\/(-14) - ((-440)\/(-14))\/4. Let c(m) = s*b(m) - 5*t(m). Calculate c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/9)*p*p*p)**(-1\/19))**(-8)\/(p*p\/(p\/(p\/p**(-5\/6)))*p**(4\/9))**33 assuming p is positive.\nAnswer: p**(-36593\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1154344665 - 1?\nAnswer: 1154344664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11295\/(-54467) + (-3)\/(-42)*2.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 909832?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 2, v: 3, y: 6, l: 4}. Give prob of sequence vl.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let x = -55.4 - -56. Put -3\/8, x, v in decreasing order.\nAnswer: v, x, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1029)*-2 - sqrt(1029)) + (2*sqrt(252))\/sqrt(12))\/(sqrt(3) - 1*sqrt(3)*6 - (3*sqrt(6))\/sqrt(2)).\nAnswer: -57*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*h**3\/3 + 302*h**2 - 164*h\/3 = 0. Calculate h.\nAnswer: 0, 2\/11, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/5*(-20)\/6. Suppose -3*t + 7*t - 60 = 0. Suppose 10 = p - t. Solve -p = c*v + v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6919722 by -256286.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*n + 2, -2*d + 6*d - 4 = n. Let g = 14 - 9. Sort -2, d, g in decreasing order.\nAnswer: g, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 o when two letters picked without replacement from odqbc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -270ce3 (base 16) to base 4\nAnswer: -21300303203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-698)\/(-46) - (-17028)\/(-97911).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -m - 4*m + 53, 57 = 5*m - 3*f. Let a be (-2 - m\/(-3))*2. What is o in -6*o + 5*o**a + 3*o - 5*o + 8 - 3*o**2 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.99457 + -19. What is l rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1754*a - 35114 + 212720 = -512*a for a.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(-1\/8)\/s*s)*s**(-3)\/s*s**(3\/2)*s\/s**(-5)*s*s*s**(-1\/3)*s**(-4\/7)*s**(-1)\/s*s**6*s assuming s is positive.\nAnswer: s**(1801\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -2326.6072 to the nearest integer.\nAnswer: -2327","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3261, -3110, -2947, -2766, -2561?\n\"Answer: j**3 + 144*j - 3406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88\/12 - 8)*(-111)\/(-703)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(-12)\/(-9). What is the third derivative of 3*x**3 + 3*x**2 - x**4 + 0*x**n - 3*x**3 wrt x?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-7)\/(-49) - (-12969)\/63 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = -8, -78*f + 45*f + 38*f - 27*d = -206 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/8 and (10\/(-20))\/(8\/(-46)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.3 - -64. Let h = -12 - -8. Which is the third biggest value? (a) h (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 322, 1, -4 in decreasing order.\nAnswer: 322, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 89737 (c) -0.2 (d) -1 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -10 (c) -0.5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -51, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/5 and 99\/854.\nAnswer: 4270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-9)*m\/m**(5\/3))\/(m**(-4)\/((m\/(m\/m**(-2\/5)*m)*m)\/m)) assuming m is positive.\nAnswer: m**(179\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m - 64*m**4 - 6 - 47 - 101*m**4 + 310*m**4 + 182*m**4 wrt m.\nAnswer: 3924*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 1. Let w be g(2). Let i be 6 + (2 + -1)*w. What is the second derivative of -u + 3*u - 2*u**5 + 0*u**i wrt u?\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 6*a**3 - a**3 + (a**2 + 3*a**2 - 6*a**2)*(2 - 7*a - 4*a - 15*a).\nAnswer: 53*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03832718192 rounded to three decimal places?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -525908616 by -4.\nAnswer: 131477154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 11*x + 4. Let q be (4\/(-6))\/(15\/225). What is d(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*t + 2*t + t)*(3 - 5 + 0) + 9*t + 10 - 10)*(-7*t + 7*t + 7*t).\nAnswer: 91*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by 900.\nAnswer: -11\/225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1022*n + 4512. Let f be o(4). Solve -f*y + 428*y + 4*q = 4, -y - 5*q + 1 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.00813\nAnswer: -0.00813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -10 + -5 + 2 - 4\/2. Let n be (m\/6 + 1)\/(-2). What is the third biggest value in -1\/5, 0.5, n?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 31*v**6\/6 + v**2 + 34*v - 59. What is the second derivative of s(t) wrt t?\nAnswer: 620*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9\/8377 + 804255\/58639. Let 486*l**3 - 696\/7*l + 432\/7*l**2 + n = 0. What is l?\nAnswer: -4\/7, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*f = 5100, 0 = -13*f + 8*f. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 20763669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-136)\/15 - (5 + 112\/(-24)) and 35\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.4849 + 0.3\nAnswer: 5.7849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80.9 - 80.90000396. What is v rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sps when three letters picked without replacement from {x: 7, s: 3, m: 4, p: 5}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8754 - -8789. What is the remainder when 1460 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5778911*d**3*w**3*z + 2*d**3*z**2 - 802*d**2*w**3*z + 4*d**2*z - 34*d*w**2*z**2 + d*w*z**2 - 50*w**3*z wrt d.\nAnswer: 34673466*w**3*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j. Let p(s) = s**3 + 4*s**2 + s + 5. Let u be p(-4). Let o(n) = n - 4. Let z(d) = -1. Let v(m) = u*o(m) - 4*z(m). Give v(a(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/(-42) - (-2)\/4. Let f(q) = q**2 - 11*q + 9. Let z be f(8). Let y be ((-6)\/z)\/(1 - 3). Which is the nearest to 1\/4? (a) y (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.04, 2.7, -105475, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.046 (b) -5 (c) 3 (d) -502\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-5 - 1) - 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a day in minutes?\nAnswer: 19440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let a(f) be the third derivative of f**4\/12 - 10*f**3 + 299*f**2. Calculate a(d(b)).\nAnswer: -2*b - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34846.9895 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 92*a = 90*a + 184877, 2*f + 5*a = 123277. What are the prime factors of f?\nAnswer: 7, 8803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52267*t**3 + 53487*t**3 - 105758*t**3.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108 + 114. Find the first derivative of -l + 17 - 3 - 11*a**2 wrt a.\nAnswer: -22*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = a - 4*a - 578, -926 = 5*a + i. Find the common denominator of 52\/5 and a\/(-20) + 9 + -8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 35476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(5\/7)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**2 + 0 - 7\/4*o**5 + 1\/2*o**3 + 5\/4*o**4 + 0*o.\nAnswer: -o**3*(o - 1)*(7*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13764 = 2*d + 4722, -4*h + 8988 = -4*d. What is the greatest common factor of h and 1833?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2127867943 + -1.9.\nAnswer: 2127867941.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let t(s) = -50*s**2 + 93*s**2 - 52*s**2. Give n(t(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512.2*-2.1.\nAnswer: 1075.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16112.8 or -2\/1279?\nAnswer: -16112.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -34*h - 47*h + 1748 + 1220 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-77)*(20\/4)\/5\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 + 11\/24*v**4 - 2*v**2 + 0*v + 1\/6*v**3. Is p(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d**3 - 9*d + 1204. Let b(r) = -3*r**3 + 2*r - 297. Give 18*b(q) + 4*s(q).\nAnswer: -2*q**3 - 530","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((111996\/7616)\/183)\/(12\/(-14)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27, -9\/14, 1\/3, -4, 7.1, -2, 0.4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122 + 22100121102?\nAnswer: 22100210001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2988 and 2102472.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 divided by -2382420?\nAnswer: 127\/2382420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8667.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.44 - -0.56. Let l = f - 11.000000484. What is l rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**3 - 69*r**2 - 78*r**2 + 341*r**2 - 120*r**2 - 74*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 2089*o**4\/12 - o**3\/6 + 2*o**2. Let s be x(-2). Let k = s + 1557. Round k to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cqr when three letters picked without replacement from {w: 1, q: 1, c: 1, o: 2, d: 1, r: 2}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w + 1. Suppose -4*d = 2*g + 54, -5*g + 29 = -4*d - 2*g. Let a = 13 - d. What is the remainder when a is divided by v(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-1 + (14 - 6))) + 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/2, 3.5, -683?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2))**(31\/2)*(u\/(u**(2\/3)\/u))**(25\/2))**(21\/8) assuming u is positive.\nAnswer: u**(-301\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -3 + -11 + 0 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 7, p: 2}. Give prob of picking 2 u and 1 p.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -20, -669*n = -665*n - 4*a - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*s**5 + s**4 - 31752*s**3 - 61829934*s**2 - 2*s wrt s?\nAnswer: 720*s**2 + 24*s - 190512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - f + 45 = -4*f, -4*w + 70 = -2*f. Calculate the remainder when 79 is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h - 3*j = 45, 5*h = -4*j + 111. Calculate the remainder when h is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -0*i - 3*i. Suppose -3*q + 2*n + 14 = 0, 0 = q + q + 4*n + i. Suppose 3 - 31 = -q*o. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -p + 0*p + 0*p - p**3 + (-4*p + p + p)*(-13*p**2 - 16*p + 16*p).\nAnswer: 25*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 10 + 50 = 5*k, 4*k = 3*w - 33. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.3, -0.03, -40?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + -4*1\/(-2). Let k be (1 + -33 - -1)*6\/(-6). Let l(q) = -3 - 13*q + k*q - 9*q - g. Let z(c) = -22*c + 10. What is -12*l(f) - 5*z(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, d: 9, h: 1, w: 2}. What is prob of sequence dwh?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 501*f**2 - 6965*f**2 + 47)*(6*f - f - f)*(-2*f**2 + 2*f**2 + 2*f**2).\nAnswer: -51712*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (68\/(-2040))\/((-4)\/12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzjjzuuu. Give prob of picking 2 u and 1 z.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29140 = 175*w + 765*w for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a millennium in months?\nAnswer: 39600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 13*a - 2. Suppose 6 + 11 = l + y, -120 = -5*l + 2*y. What is the lowest common multiple of l and g(2)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -676 + 585. Let k = -649\/7 - l. Find the common denominator of 101\/574 and k.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7139 and 3953.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -18*m**2 - 33*m + 33. Determine s(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.5 + -6. What is the closest to 0.1 in v, 2, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - -0.02. Let l = x + -4.62. Let q = -4 - l. What is the third biggest value in 2, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007247 rounded to five decimal places?\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 0.04, 0.2, 1.0562 in increasing order.\nAnswer: 0.04, 0.2, 1.0562, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**5\/5 - 212*b**4\/5 + 18996*b**3\/5 + 19412*b**2\/5 - 18992*b\/5 - 3840 = 0?\nAnswer: -100, -1, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 60181?\nAnswer: -240724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -4\/7, -2\/13, 2\/91, -2?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43205399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964251 is divided by 241044?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -788*w - 257*w + 36*w in the form r + o*w and give o.\nAnswer: -1009","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(135)\/sqrt(5)*-5 - (sqrt(270)*2 + sqrt(270))\/sqrt(10)).\nAnswer: 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -22*z**3 + 13*z + 320. Let l(w) = -5*w**3 + 3*w + 80. Give 9*l(j) - 2*q(j).\nAnswer: -j**3 + j + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273250 is divided by 90990?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5\/7)*w\/w**5)**4 assuming w is positive.\nAnswer: w**(-132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 > -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 40 = -3*w, 2*s - 5*w - 7 = 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4297 is divided by 473.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -675*m**2\/4 + 436095*m\/2 - 281746443\/4 = 0?\nAnswer: 9691\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 3, 5.\nAnswer: -38, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2722 times 2\nAnswer: -5444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:20 AM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/15 - 63*i**2. Let b(m) = 4*m. What is b(y(k))?\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2*u + 1 = 0, -3*f - 11 = 79*u - 81*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 21. Does 6 divide (6 + -8)*(-2 - v) + 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -5*y**4 - 239*y**3\/3 + y**2 - 156*y + 1019. What is the derivative of u(s) wrt s?\nAnswer: -60*s**2 - 478*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -413*z + 1661. Suppose -6 - 1 = -2*m + 5*q, -2*m + q + 11 = 0. Suppose m + 20 = t. Calculate the remainder when t is divided by j(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5151\/3434)\/((-3)\/92)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, b: 6, a: 1, d: 2}. What is prob of sequence ad?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-22)\/(-16))\/(90\/(-330)) and (-10)\/(-9)*6\/8 + -1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103 is divided by 58.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 7*u + 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = -16. Suppose -u*j**3 - 54*j**3 - 28*j**3 - 8*j - 23*j**2 - 33*j**2 = 0. What is j?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) -0.5 (c) 0.2 (d) -8 (e) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 56196.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**2 + 3*l - 6. Let m = -11 + 0. Suppose 3*o - 4 = o. Let p(f) = -8*f + 15*f**o + 4 + 3*f + 7. Determine m*d(t) - 6*p(t).\nAnswer: -2*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x + 95. Let w(j) = -18037*j + 570. Calculate -6*g(b) + w(b).\nAnswer: -18025*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + 35 + 22*t + (-6 - 6 + 13 + 26*t)*(-3 + 1 - 3).\nAnswer: -108*t - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k - 2*k + 2*k)*(-231*k**2 - 1119*k**3 + 2224*k**3 - 1096*k**3) to f*k**2 + o*k**4 + x*k**3 + y*k + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 4 - 3 - n. Let i(x) = -29*x - 12. Let d(u) = -4*u - 4*u - 3*u + 4*u - 3. Let h(k) = -9*d(k) + 2*i(k). Determine h(m) - 4*t(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-553)\/(-14) - 2\/(-4). Let u be 6\/5*o\/(-12) - -126. Suppose 5*r = 4*m - u, 5*r + 0*r = -5*m + 130. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (216\/180)\/((-5)\/((-750)\/(-18)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h*h\/(h*h**(-2\/13)*h)*h)\/h)*h**2)**(-14)\/(h\/(h\/h**(-3))*((h*h\/h**6)\/h*h)\/h*h*h**(4\/3)*h\/((h*h*h\/(h*h**6)*h)\/h)) assuming h is positive.\nAnswer: h**(-982\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-15 + 17 + 7 + 0)) + 33 + 0\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Suppose k*s = s. Suppose s = -3*f - 0*f. Let w(p) = p**3 + p**2 + 3. What is w(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 + 238 + 315 = -42*b + 97 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 13*a = 48. Let p = a + 30. Solve -p = -4*j + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*f)*(0 - 7 - 2) + (-4*f + 6*f - 6*f)*(5 + 11 - 2).\nAnswer: -74*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -19. Suppose 5*x - 539 = x - z, -x - z + 134 = w. Let n = x - 15. Calculate the highest common divisor of 24 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2*a - 7, -s = -3*a - 2*s + 11. Suppose a*p = -9976 - 230024. Round p to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1559104?\nAnswer: 2, 17, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 3*r**5\/10 - 93*r**4\/4 + 61*r**3\/2 - 152. Factor u(s).\nAnswer: 3*s**2*(s - 61)*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1342 + -2?\nAnswer: -1344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -0.26.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 58. Suppose 5*r - 5*k + 30 = 0, -y*r - 26 = -3*k + 2*k. Let x be (14 - 19)*(-1 + (-4)\/r). Put 9, -0.2, x in decreasing order.\nAnswer: 9, x, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 108*b = -107*b + 78892, 3*o - 78896 = 2*b. List the prime factors of o.\nAnswer: 2, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12821229?\nAnswer: 3, 1424581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 - q**2 + 4616266186*q - 4616266186*q.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -19*x + 1456. Let r = -100 + x. Solve m = -5*h + r*m, 27 = -4*h - 3*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 328 - -488. Suppose -4*f + 159 = p, n = -9*p + 14*p - f. List the prime factors of p.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 12:48 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 + 2*r - 4. Suppose g + 1 + 3 = 0. Let b be x(g). Let l be (b\/3)\/((-2)\/(-39)). What is the highest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -394330, -394274, -394180, -394048?\nAnswer: -393878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**5 - 6*d**5 + d**5 - 3*d**4 - d**5 + 3*d**4 + (-d**4 + 2*d**4 + 0*d**4)*(d - d - d) - 2*d**5 + 9*d**4 - 9*d**4 - 203*d**2 + 203*d**2 + 11*d**5.\nAnswer: 5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 + -1.32. Put 1\/6, 5, d in decreasing order.\nAnswer: 5, 1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.1821 seconds in milliseconds?\nAnswer: 74182.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-275)\/(-45) + 1\/(-9). Let v be 9\/6 - 9\/j. Suppose -5*u - 4*m + 61 = v, 0 = -3*u - 0*m - m + 31. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/18686236 and 65\/1072.\nAnswer: 5007911248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214951 is divided by 80.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108 a factor of 1273557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -91*t + 1326. What is p(11)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 289653248?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 - 23 - 13)*(-20*a + 39*a - 17*a)*(-a**2 + 0*a**2 - 2*a**2) to h*a**3 + v*a + i + z*a**2 and give h.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t. Let o(b) be the third derivative of b**5\/30 - 31*b**2. Calculate h(o(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-198)\/(189\/21)*4\/2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -26, -38, -50, -62, -74?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011011001011111110001 (base 2) to base 8.\nAnswer: 23313761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, r: 18}. Give prob of picking 3 r.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-4*sqrt(153) - sqrt(153)) + sqrt(153)) - (sqrt(153) - (sqrt(153) + 3 + -2)) - (2 + sqrt(153) + 1 + 1 + -1).\nAnswer: -2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17044745 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 975990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - 0 - (-35)\/(-30). Which is smaller: w or -0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.96623 centuries in millennia?\nAnswer: 0.796623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 3, x: 1, k: 3, r: 2, c: 3}. Give prob of sequence rk.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 39. Let p(q) = q**2 - 12. Let f(r) = -2*r**2 + 14. Let w(u) = -6*f(u) - 7*p(u). Give i(w(y)).\nAnswer: -25*y**4 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14 + 841?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 10*i**2 - 6*i.\nAnswer: 2*i*(i + 3)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 4 + 0 + r**2 to i*r + w + j*r**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -12*b + 6. Let p(l) = -13*l + 7. What is 4*p(a) - 5*q(a)?\nAnswer: 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(5)*2)**2 - sqrt(5)) + 1 + sqrt(45).\nAnswer: -39 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uupuuupuupu. What is prob of sequence pu?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -36 and -8.570092888.\nAnswer: -44.570092888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 258*u - 455*u - 6107 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k - 5*k + 11*k + 5*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-18))\/(414\/69).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 3 + (1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3342 (base 13) to base 11\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 49*x + 55 = -44*x, 2*n = 2*n - 11*x + 44 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 8363082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -0.2131636.\nAnswer: -0.06394908","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 544*v + 686*v = 37989 - 10929 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 117*l - 24617. What is y(-226)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1192880 and 1108705?\nAnswer: 2405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1\/10))**39*(b**(-1\/3)\/b*b)**(-3))**(-23\/3) assuming b is positive.\nAnswer: b**(667\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 33213643 to the power of 1\/2, to the nearest integer?\nAnswer: 5763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from nanvnaaany?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 2. Let q(u) = -u**3 - 10*u**2 - 4*u - 25. Let y be q(-10). Suppose 42 + 3 = -y*r. Let w be 4*r\/(6\/1) + 0. What is i(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r - r + 4*r - 2*r + 0*r + (-2 + 0 + 0)*(-3 + 2*r + 3) + 4 + r - 4)*(5*r - 7*r - r)*(0 + 5 - 3)*(1 + 2 - 5).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*v - 99, 2*r - 20*v + 27 = -15*v. Sort -3, 1, r.\nAnswer: r, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of g**6\/120 - g**5\/15 + g**4\/6 - 3*g**2. Let m be j(3). Let d(q) = -4 - q**3 - 4*q**2 + 2*q**2 + m*q**2 - 2. Calculate d(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 14 = -2*q, 5*m + 0*q = -q + 15. Suppose 3*t - 114 = -n, -2*t + 3*n = 8*n - 63. Calculate the remainder when t is divided by (-40)\/3*(-6)\/m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1138 + -671. Let n = g - 455. What is the remainder when 80 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6866*n*x**2 + n*x - 2*n + 5261*x**2 + 18*x + 1 wrt n.\nAnswer: -6866*x**2 + x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-17)\/q*q**(7\/2) assuming q is positive.\nAnswer: q**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1493945 or -1493949?\nAnswer: -1493945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 + 89. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 485 - 485. Let x = 0.01 + 0.39. Put h, 1\/2, -0.3, x in descending order.\nAnswer: 1\/2, x, h, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*sqrt(19) + (2*sqrt(171) + sqrt(171))**2.\nAnswer: sqrt(19) + 1544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 146\/((-48472)\/415)*(-5)\/(15\/(-21))\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 2. Suppose b*n - 4*o - 43 = 1, -3*n + 2*o + 34 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86772186.64308 + 0.034?\nAnswer: 86772186.67708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**7\/i))\/((i\/((i*((i\/(((i**(-29)\/i)\/i*i)\/i))\/i)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2. Let d(m) = 949*m - 2. Determine d(i(q)).\nAnswer: 5694*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 6*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = f + 20, -3*f - 18 = 3*y - 0. Let k(p) = -3*p**3 - 3*p**2 + 6*p + 4. Let g(q) = -5*q**3 - 5*q**2 + 11*q + 7. Calculate y*k(l) + 4*g(l).\nAnswer: l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0190355769 to 6 decimal places.\nAnswer: 0.019036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:36 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.27761113 to three dps.\nAnswer: -0.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 2655.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 + 22*o**2 - 12*o + 6. Let p(s) = -2*s**3 + 7*s**2 - 3*s + 2. Let l(b) = 2*m(b) - 7*p(b). What is l(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 105656*x**3 - 194718 wrt x?\nAnswer: 316968*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 999653 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2585 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**2 + 5*i**3 - 5*i**2 - 13*i**3 + 33*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 105 + -55. Suppose 64 = 4*p - v, 0 = 4*p + 5*v - g + 10. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (645 - 13)*(2 + 0). Let j = 1879 - a. Suppose 5*r + 0*r = j. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 109606 or 109605?\nAnswer: 109605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62164 and 1684?\nAnswer: 26171044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q - 3*q. Let s be (6\/28*2)\/((-11)\/(-77)). Solve q = -o + s*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, 0.6, 0.18007, -2, 4\/3.\nAnswer: -2, -0.4, 0.18007, 0.6, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6216325473 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 960 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -15, -5, 5, 35, 3, 2 in increasing order.\nAnswer: -15, -5, 0, 2, 3, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24138, 24135, 24132, 24129?\n\"Answer: -3*h + 24141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n**2 - 2421507*n - 20792649 wrt n.\nAnswer: 6*n - 2421507","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69463, 138911, 208359, 277807, 347255?\n\"Answer: 69448*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, 1.9, 2958\/151, 1, -3?\nAnswer: 2958\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15980 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 + 3 = 0. Let y be (-2)\/1 + (4 - b). Let p = 14 + y. Let u(v) = -4*v**2 + 2*v - 1. Give u(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22, -14, -6?\n\"Answer: 8*v - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -0*f - f. Suppose 15*r = 1102 + 488. Calculate the remainder when r is divided by f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15466 less than 15465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 108.68 times 110861\nAnswer: 12048373.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (0 - (-9 + 6) - 5 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c + 2*m - 13 = 0, -5*m - 125 = 5*c. What is the tens digit of c*(-1)\/((-1)\/(-1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 0*l + 2*y - 20, 3*y = 4*l - 5. Suppose -5*q + l + 15 = 0. Let a(t) = -t**2 - 12*t - 20. What is the least common multiple of q and a(-8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*m + 164 - 164)*(0 - 1 + 3) + (3*m - 3*m - m)*(-2 - 4 + 4) - 11 + 11 - m - 6*m + 0*m - 6*m - m + 0*m + 0*m to w + s*m and give s.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t. Let d(h) = 9*h**2 - 125*h + 15. Let k(b) = -50*b**2 + 688*b - 84. Let u(p) = -28*d(p) - 5*k(p). Calculate u(l(v)).\nAnswer: -242*v**2 - 660*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.1, 3\/10, -1\/5, -175, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*g - 1887 + 2767 = 0 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -629 (b) -0.06 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 13. Suppose -3*a - 236 - 210 = -5*p, 0 = c*p - 2. Is a\/(-6) - (-1)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -82*m*x**4 + 3*m*x**2 + 67*m - 11*x**4 - 4*x wrt x.\nAnswer: -1968*m*x - 264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -140, -213, -282, -347?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 10:19 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 444472539 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a6a - 3?\nAnswer: 15a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003991 to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, a: 10, t: 3, k: 2}. What is prob of sequence ktcc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 13*b**2 - 15*b - 24. Give q(14).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/7 - 12*g + 126 = 0. Calculate g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -6*n**3 + 3*n**2 - 4*n. Does 14 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141036938?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697*-1.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5519 - -55133\/10. Calculate the common denominator of w and -55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/5, -1\/2, -0.05, -101?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-54)\/(-10 - -19) + 25*488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3854 and -3.149.\nAnswer: 12136.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4303450 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 20*z + 35. Let f(h) = -2*h - 4. Suppose -26*x + 35 = -25*x. Let b(j) = x*f(j) + 4*s(j). Let m(p) = 0 + 3*p + 0 - 2*p. Determine b(m(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.9 or -879?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -53, 5?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -18, 0, -3, 3 in ascending order.\nAnswer: -18, -3, 0, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 3*s**2 + s**2 + s**2 + 4*s - 4*s - 2*s**2 + 0*s + 0*s + (3*s + 2 - 2)*(0 + 0 + s) + 6*s**2 - 3*s**2 + 0*s**2 as y*s + r + v*s**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a millimeter?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -34, 1 in ascending order.\nAnswer: -34, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -609 + -260?\nAnswer: -869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55964*r - 4524 = 55616*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 17*p + 65. Let u(f) = 19*f + 65. Let s(o) = -5*h(o) + 4*u(o). Let k be s(-8). Calculate the greatest common divisor of 56 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 2*d**3 - 2*d + (4*d - 69 + 69)*(-4*d**2 + 0*d**2 + 2*d**2).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from fqdpdfsys?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.061 (b) -2\/3 (c) -0.9 (d) -4\/245 (e) -4 (f) -0.07\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8348.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1) - 10\/(-5). Let b = -2 + l. What is the lowest common multiple of b and (-12)\/3*11\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 839 is divided by 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 10, u: 4}. Give prob of sequence uu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/(2\/12). Let f = 30 + -29. Sort f, r, -2 in decreasing order.\nAnswer: f, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 36080*s = 36075*s - 7, 5*m - 3*s = -64 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7 = 1. Suppose r*w + 0*x - x = 344, 5*x = w - 105. Suppose 5*u = -5*n + w, -2*n - 3*u + 36 = u. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 451835607?\nAnswer: 3, 150611869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 + 16*t - 20. Let r be u(6). Suppose 3*v - r*v + b + 1936 = 0, -4*b = -v + 1930. What are the prime factors of v?\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*p**3 - 243*p**2 - 3819*p - 24194244.\nAnswer: 21*p**2 - 486*p - 3819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 t when two letters picked without replacement from {t: 2, h: 2, z: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26 + -10. What is the greatest common factor of x and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 2ec4?\nAnswer: 2ec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -1328745.73?\nAnswer: -5314982.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 8*y + 15. Let n be z(8). Suppose n*k - 17*k = -8. Let p(g) = -2 - 2*g**2 + 8*g + 3*g + 13. Let j(i) = -i**2 + 4*i + 4. Give k*p(m) - 11*j(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3, 11, 25, 45, 71?\n\"Answer: 3*x**2 - x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gtg when three letters picked without replacement from systggssttsoss?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 308890292.\nAnswer: 2, 97, 239, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 4 = 2*g + 31, -32 = -g + 4*o for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1597559 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*r = h + 48, -2*r + 62 = -3*h. Let l be 6\/33 - h\/22. Sort l, -2, -5 in descending order.\nAnswer: l, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 60434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -24, -184, -7 in ascending order.\nAnswer: -184, -24, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -75, -60, -29, 24, 105, 220?\n\"Answer: c**3 - c**2 + c - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + r + 5. Let b be z(0). Let u(s) = 3 + 57*s + 1 + 2. Is u(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 986731 = -0*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*o - 5*c = -8, -o + 11 = -c. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 11*t**2 - 11*t + 8. Let m be k(-12). Sort 2, m, 4, 1 in increasing order.\nAnswer: m, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5525 and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1c9a (base 15) to base 12\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 5*v - 5*v + (3 - 3 + 1)*(55 + 8*v - 55))*(68*v - 69*v - 40*v)*(3*v**2 + v**2 + 0*v**2).\nAnswer: -1476*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3372 divide 55985316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -7\/25*q**5 + 2*q - 2\/5*q**2 + 0 + 2\/15*q**3 + 11\/12*q**4. What is r in p(r) = 0?\nAnswer: -2\/7, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 150 = 14*y + 4*d + 204, -y = 2*d + 144 + 36 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.5, 2\/7, -698, 0.2, 0.1 in decreasing order.\nAnswer: 0.5, 2\/7, 0.2, 0.1, -2, -698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**2 - 21*s + 10. Let k be d(-10). What is k rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143417693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 673800, 673852, 673938, 674058, 674212, 674400?\n\"Answer: 17*m**2 + m + 673782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 3. Let t be v(-7). Let m(d) = 3*d - 177. Let h be m(50). What is the tens digit of h\/(t\/(-16) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-13))\/(1785\/3315)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 43. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/8 + (176672\/(-3648) - -45)?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -89, -58, -21, 22, 71, 126?\n\"Answer: 3*q**2 + 22*q - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 3 (c) 0.2 (d) -2\/103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 8*b. Find u such that -2\/3*u + 1\/3*u**2 + b + 1\/3*u**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17621 - -11?\nAnswer: -17610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34511330173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9664 is divided by 525.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 5*r = 13, 5*m + 0*m + 1 = 2*r. Suppose 16 = 3*i + 25. Put -2, m, i in increasing order.\nAnswer: i, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:03 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let m(q) = -q. Let s(c) = 4*c. Let t(r) = 4*m(r) + 2*s(r). Determine t(b(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 (base 9) in base 15?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.62 - 7.62. Which is the closest to t? (a) -5 (b) -1.9 (c) 0.3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (27\/(-18) - -24).\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33910197 is divided by 75?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -106, -111, -116, -121, -126, -131?\n\"Answer: -5*z - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*j + 107*j - 23616 = 0. Calculate the highest common factor of 820 and j.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 4 - 7 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 + 17*n + 42. Let d(k) = -5*k**2 - 20*k - 30. Let w(t) = 6*d(t) + 5*f(t). Factor w(y).\nAnswer: 5*(y - 6)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 13 + 84 - 21 - 2*m)*(1 - 13 - 1).\nAnswer: 26*m - 1378","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 53 + 60 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 5632?\nAnswer: 28160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - (9 - 33 - -4 - -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 858 and 324258.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12.51547 - -0.2\nAnswer: 12.71547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44914654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43309 is divided by 7144?\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 45672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -f + 7*b + 3, 10*f = -5*b - 30. Let u(z) = -z + 1. Let w(q) = 15*q - 4. Calculate f*w(o) - 2*u(o).\nAnswer: -13*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 3385\/(-720) + 2. Let f = y + 7\/48. Let q(p) = p**3 + 6*p**2 + 5*p - 1. Let l be q(-5). Is f at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240487339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 150648201 divided by -370143\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-99)\/12)\/((-6)\/16). Let c = -14 + b. What is the remainder when 21 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3798505182307 and -3?\nAnswer: 3798505182310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -564 and 223.\nAnswer: -125772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (2 + -2 + 4). Solve -5*k - 5 = 5*r, 4*r - 3*k = -b*k + 3 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 2\/11, 3344, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/2187 and -47\/9.\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5184 take away 0.41808?\nAnswer: 11.10032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4\/2 + 558436*w**3 + 207900883020*w**2 + 25800083779526800*w + 51599335959989000 = 0.\nAnswer: -372290, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 51\/256?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 26. Solve 0*w + b = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**30\/((x\/((x*x**(-27))\/x))\/x))\/((x\/(x\/(x*x*x\/((x\/x**(-4\/11))\/x*x*x))))\/x**(-6\/11)) assuming x is positive.\nAnswer: x**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -8\/15451, -2\/5, 0.25 in increasing order.\nAnswer: -2\/5, -8\/15451, 0.25, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t + 145 + 125. What is the common denominator of 41\/66 and ((-1)\/t)\/((-522)\/(-17110))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2969, -5936, -8903?\nAnswer: -11870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013119029.\nAnswer: 73, 883, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 49.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((15 - 40) + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 - 0.470075. What is j rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 660*r**2 + 3*r + 4. Let s(k) = 3*k**3 - 1321*k**2 - 7*k - 10. What is 7*b(w) + 3*s(w)?\nAnswer: 2*w**3 + 657*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -5*w**3 - 155*w**2\/2 - 50*w + 83. Factor l(q).\nAnswer: -5*(q + 10)*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k**2 - 4*k**2 + k**2)*(-12*k - 9*k + 8*k) to the form g + o*k + z*k**2 + c*k**3 and give c.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjjmjnmmmmjndmi. Give prob of sequence mj.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4364, 4262, 3990, 3464, 2600, 1314?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = a - r, -7*a + 5*a - 5*r = 13. Solve 2 = -p + a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(243) + 2.\nAnswer: 4 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (40060\/40)\/(2\/12) - (-1 - -3).\nAnswer: 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 - (-5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 2*n + 1. Let b(m) = 449*m**3 + 3*m**2 - 6*m - 5. What is -b(l) - 3*r(l)?\nAnswer: -449*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Convert 533 (base 16) to base 8.\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 k, and 1 q when four letters picked without replacement from {b: 2, q: 1, k: 7, g: 2, z: 4}?\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 1. What is w(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11. Suppose 2*l + l = o. Let b(m) = m**3 - m + 2. Determine b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4*t - 4. Suppose -1 = -k - 11. Let m(c) = -10*c + 21*c - 4*c - 7. Give k*p(f) + 6*m(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 324686 to the power of 1\/2, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 25.\nAnswer: 37\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 965399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*k - 4. Let z = k + 0. Let u = z - -1. Solve -3*m - 22 = -u*m - 5*j, 3*j - 4 = -4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w, 4*v + 3*w = 2770 + 6341. Calculate the smallest common multiple of v and 1012.\nAnswer: 9108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.7779 + 0.0779. Let x = -16 - q. Which is the third smallest value? (a) 2\/3 (b) x (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/420*r**7 + 5*r**2 + 1\/60*r**6 + 0 + 1\/24*r**4 - 1\/24*r**5 + 0*r**3 + 0*r. Determine n, given that y(n) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)*a*a)\/(a\/a**6)*(a\/a**(10\/11))\/(a\/a**(-23)*a) assuming a is positive.\nAnswer: a**(-974\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*t - 10*t - 17*t)*((-2 - 2*t + 2)*(3 + t - 3) + 0*t**2 + t**2 + 0*t**2) as k*t**2 + o*t + v + w*t**3 and give w.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 994 = -956 + 1978 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -243818887 and 0.322?\nAnswer: 243818887.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 9. Let p = -4 - -24. Suppose -2*n = 3*t - p, 2*n + 0*t - 24 = -5*t. What is the units digit of o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -7*h - 1. Let y(r) = -r**3 - 4*r**2 - 3*r - 3. Suppose -3*o - 8 = 4. Calculate the remainder when q(-5) is divided by y(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/21, -4, 29?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 u when three letters picked without replacement from {o: 1, u: 19}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - -1. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.800247 to 1 decimal place.\nAnswer: 22.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 28*q + 261. Let n be y(16). Let z = n - -460. Calculate the highest common factor of 731 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 y, 1 v, and 1 a when four letters picked without replacement from aqdqyadaaavvvaadud.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 457844417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:33 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3738 and 20?\nAnswer: 37380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o - 1553*o**2 + 4 + 954*o**6 + 1462*o**2 - 4 + 3*o wrt o?\nAnswer: 114480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 1 + 1)*(1005*q - 5648068 + 5648068).\nAnswer: -2010*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(14)\/sqrt(2)*-5.\nAnswer: -5*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvzvvzvzvz. Give prob of picking 2 v and 1 z.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 3 (c) 65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2715 - -14154. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**5 - 7*o**2 + 7*o**2 + (5*o - o**3 - 5*o)*(2*o**2 - 3*o**2 - 2*o**2).\nAnswer: o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = d + 5*i - 17, 0 = d + 4*i - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-32 - (-36 + -14) - 9).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -1)*(1 + 0). Let s(k) be the third derivative of -k**6\/120 + k**5\/60 + 139*k**3\/6 - 147*k**2 - 1. Is s(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 (base 9) in base 2?\nAnswer: -100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*j - 2249 = 0, -5*j = 44*s - 45*s + 2263. Let f = s + -1333. List the prime factors of f.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 13*k - 12. Let o(c) = 7*c - 6. Let m(w) = -6*h(w) + 11*o(w). Let g be m(4). Suppose -5*j + 3 = -12. Solve -4*x = j*n - g, 3*n + 5*x - 1 = 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9412144 rounded to the nearest 10000?\nAnswer: -9410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 212013, 212014, 212015, 212016, 212017, 212018?\n\"Answer: d + 212012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 0.46, -5, -1, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 506\/184*(-6)\/(-33).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/12*78\/(-39))\/(2\/(-1))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 2:36 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgyvjvguxxg. What is prob of sequence xu?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 divided by -5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (50\/(-8) - -3)*4. Let j = 21 - o. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.2, 0.07, -77, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1344800 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d + 35*d**2 - 7*d**3 - 42*d**2 + 3*d**3 to the form g + q*d**2 + c*d + t*d**3 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*i**4 - 20*i**3 + 296*i**2 - 96*i = 0. Calculate i.\nAnswer: -6, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7643, -2, 7 in increasing order.\nAnswer: -7643, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a decade?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 8*h**2 - 3*h - 3. Let t(l) = 2*l**3 + 16*l**2 + 5*l + 7. Let i(z) = 5*m(z) + 3*t(z). What are the prime factors of i(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**3 + 45*a**3 - 93*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -8. Let r = t - -6. Let h(n) = -n - 1. Let j be h(-5). Solve 3*q = -j*a + 2, 0 = r*q - 0*a + 2*a + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -0.3 (c) 1\/4 (d) 1\/4971 (e) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 3:43 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-14)*u*u*u**(3\/5))\/(u**(2\/9))**(1\/74))**43 assuming u is positive.\nAnswer: u**(-816398\/1665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*t + 2 + 13 + 7*t + 12 - 2*t**2.\nAnswer: -2*t**2 + 34*t + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -339 by -4108.\nAnswer: 339\/4108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1. Let g be 2\/4 + (-248)\/16. Let i = g + 16. Let z(h) = 2*h**2 - 2*h + 10. Determine i*z(d) - 8*m(d).\nAnswer: 2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/11 (c) -0.5 (d) -0.08 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**5)**(-2\/7) assuming q is positive.\nAnswer: q**(-10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (6767\/(-1340))\/(-2*(-2)\/8) and -25\/384?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/12 and 149\/1614.\nAnswer: 3228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2490 divide 270615690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*l**12*l*l))\/l*l))\/l**(-1)*l*l*l\/(l*l**(8\/7)\/l)*l*l**6 assuming l is positive.\nAnswer: l**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 769648 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-255)*(-48750)\/325*(-2)\/(-18)\nAnswer: -80\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1. Let u(n) = -n**2 + 8*n - 8. Let a(q) = -6*r(q) + u(q). Let o(c) = -c**3 - 13*c**2 - 13*c - 6. Let t be o(-12). Does 6 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 12371*q + 12372*q - 23*q**2 + 0 to r + z*q**2 + k*q and give z.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + s + 1. Let o(c) = 18*c**2 - 5*c - 6. Let q be (8*(-2)\/(-6))\/4*(-6)\/(-4). Give q*o(w) + 5*p(w).\nAnswer: 23*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**2 + 0*r**2 - 2*r**2 + (4 - 4 - 4*r)*(27*r - 3*r - 2*r).\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -141, -139, -137?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-17 - (-15 + 12) - -94)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (170\/((-204)\/(-12)))\/(-5)*(-8)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.2477145 rounded to three dps?\nAnswer: -43.248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyup when four letters picked without replacement from pppupppuppyuppffypfy.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512560 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 572493.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence roop when four letters picked without replacement from {c: 3, r: 9, o: 2, h: 1, p: 2, l: 3}?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 625*f + 436. Let l(c) = -310*c - 219. Let v(a) = 11*l(a) + 6*z(a). Differentiate v(t) wrt t.\nAnswer: 340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 24 = 4*l, -3*u = 36*l - 38*l - 18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 - 47*w**2 + 1 + 260*w**2 + 61646*w**3 - 2*w - 61650*w**3 + 2*w as j*w**3 + i*w**2 + k*w + r*w**4 + x and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 48\/9 - 1\/3. Let s be (4\/m)\/(88\/20). Let f = s + 393\/77. What is the common denominator of f and -24\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 2235*g - 235450 = 0 for g.\nAnswer: -277, -170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-22) - (-92)\/(-22). Let s = 1 - q. What is the remainder when 8 is divided by 3\/(-15) + 16\/s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 w when four letters picked without replacement from {i: 1, w: 1, u: 4, x: 4, p: 2, h: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(4*2\/1). Let l = -0.5 + 0.4. Let h be (((-40)\/(-300))\/(3\/(-5)))\/(250\/(-675)). What is the nearest to l in 5, z, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + -17. Let f be (33\/6 + -3 - 2)*54. Let d = f + a. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t - t - t. Let b(i) be the third derivative of -i**5\/60 + i**2 - 206. What is d(b(g))?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 238*b**2 - 15*b + 24. Let j be x(72). What is j rounded to the nearest ten thousand?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 28, 20, -8, -62?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**8\/3024 + c**7\/315 + c**6\/120 + 3*c**2 + 3. Find f, given that r(f) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 202 + -24. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138251213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.4, 13.\nAnswer: -0.4, -0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 10*c**2 - c - 8. Let s be r(-10). Let i(f) = 227*f - 6. Let q be i(s). Suppose -4 - 5 + q*n - 436*n - 3*n**2 = 0. Calculate n.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3882?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 0.3, 1\/101?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 0*y + 2*y + 42 - 3 as k*y + c*y**2 + u and give u.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99668042.\nAnswer: 2, 17, 2931413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 25*t - 1. Let u(r) be the third derivative of -5*r**4\/24 + r**3\/2 + 46*r**2 - r. Let d(s) = 12*s - 7. Let p(v) = 3*d(v) + 7*u(v). Calculate x(p(l)).\nAnswer: 25*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrvr. What is prob of picking 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -35 - 1 - (243 - (302 - -102))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 11:37 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67.3 - 67.3391. Let s = a - -0.043. Round s to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 0 + -2)) + sqrt(117)*-1 + 5.\nAnswer: -3*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 4. Suppose -4*g = o - 5*o + 8, -s*g + 4*o - 11 = 0. Solve -g*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (985 - 3101 - 3039 + 632)*(3*l + l - l).\nAnswer: -13569*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (150\/(-35))\/(12767\/5257)\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - -67. Suppose -j = -3*b - 2*q, 0*b + 2*b - 48 = -3*q. Let k(w) = w**2 - w - 5. Let n be k(5). What is the highest common divisor of n and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 20 = 9*c + 5*n, -2*c + 2*n + 28 = 0. Let x(s) = 2*s**3 - 17*s**2 + 2*s + 4. Is 6 a factor of x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/10 + 1\/2. Let b = 0.2 - 0.27. What is the closest to 1\/2 in 3, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22761066 plus -14015277?\nAnswer: 8745789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d + 11. Suppose 4*z - 160 = -2*o + 6*o, 3*o + 4*z + 141 = 0. Let c = o - -39. Is 2 a factor of n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -740 = -124*u - u - 23*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*w - x, 0*x = -5*w + 2*x + 17. What is the remainder when 9 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**4\/24 + 2*h**2. Let o(u) be the third derivative of -u**5\/30 + 5*u**2. What is b(o(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 2*z**3\/3 + 3*z**2\/2 + 3*z + 34. Let i(l) = 14*l**2 + 22*l + 22. Calculate -6*i(s) + 44*p(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1500 (base 6) to base 14.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3120 = 17*t - 2*t. Suppose 5*x - y = 364, 2*x + 63 - 208 = y. Calculate the remainder when t is divided by x.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*y + 15. Let o(d) = -d - d + y*d. Let i(w) = 2*w**2. Calculate o(i(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7747*n**2*u**3 + 31*n**2 + 14*n - 1 wrt u.\nAnswer: 23241*n**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -8.53028?\nAnswer: -8.53028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 83537317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times 45\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 - 4*u + 11. Let h(m) = -2*m**2 + 3*m - 10. Give -3*h(w) - 2*r(w).\nAnswer: -2*w**3 - w + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2149 + 4380. List the prime factors of r.\nAnswer: 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 61 + 77 = 0. Find the third derivative of -34*t**3 + 3*t**2 - 1 - t**y - 7 - 9 wrt t.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/(2\/21). Suppose 0 = -3*x + 3*c + 33, -3*x = -h*x - 4*c + 4. Solve p = -p - x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/5742*(-18)\/(-21)*20\/(3360\/(-147))?\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.7 times 0.1?\nAnswer: -17.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.850565 + -5.\nAnswer: -19.850565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233586 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4210 or -4205?\nAnswer: -4205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from qgdqddqq?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**5 + q**5 + q**5 + (-q + q + 2*q**3)*(-1 + 1 - 2*q**2) + 0*q**5 + 2*q**5 - 4*q**5 + (-8*q**4 + 4*q - 4*q)*(245 - 245 - 11*q).\nAnswer: 80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -8*k**3 - 3*k**2 - 3*k - 1. Let x be w(-6). Suppose 7*l - 400 = x. Is 22 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82 or -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 76, -5, 4\/3, 4\/5, 2, -1\/23, 5?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 88.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17 or 13401.476?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87 + 90. Let z be (d\/5)\/((-36)\/45). Which is the closest to -2? (a) z (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*r + v, 3*v - 4*v = -5*r + 28. Suppose -2*b = r*g - 1328, 1324 = 4*g + g + b. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13245 - 6414. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -67, -105, -147, -193?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 1204*m - 878585. Calculate r(-512).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -12*n**3 - n**2 + 6*n - 8. Let j(i) = 22*i**3 + 2*i**2 - 10*i + 15. Determine -3*j(q) - 5*k(q).\nAnswer: -6*q**3 - q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1107 - 1105. Solve k*l - i = i + 6, 5 = -5*i for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373957 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575 a factor of 386793225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-5))\/(1*5\/5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5 + (sqrt(1089) + sqrt(1089)*4*1 - sqrt(1089))\/(sqrt(12)\/(sqrt(576)*5)))**2.\nAnswer: 26400*sqrt(3) + 20908828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 811193153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241909*f + 242214*f = 138 + 62 + 105 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 u when three letters picked without replacement from zuooouuo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/24864 and 107\/1628?\nAnswer: 273504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 10*b - 23. Let i be g(-7). Suppose 2*d - 566 = -i*z, 0*d = 4*z - 5*d - 466. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 21 = 21*d. Solve -8*v = -d*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -4 + -9 + 3 + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3433 + 6253. Let d = 724741\/257 - x. Are 0 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 14. Let g be v(-9). Let b = 9 - 4. Sort g, -2, b in increasing order.\nAnswer: g, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 4*c**4\/3 + 131*c. Let a(g) = -4*g. Give z(a(b)).\nAnswer: 256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 3. Suppose 13*l = -16*l + d*l. Solve k = -a - 4, -2*a - 5*k - 29 + 12 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -3, -2\/5, 2\/15, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 592 - 8*n**3 + 1070*n**2 + 7*n**3 - 294 - 297 as d*n + r + i*n**3 + v*n**2 and give v.\nAnswer: 1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -4*u + 18, x + u - 3 = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -260*t**2 + 2366*t + 18337. Determine c(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 7:51 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121686895.\nAnswer: 5, 11, 37, 59797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 63?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16186*t - 31947. Determine q(2).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2. Let o(h) = 167369*h. Determine o(f(l)).\nAnswer: -334738*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9))**(-11))**(1\/19) assuming n is positive.\nAnswer: n**(99\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 1:49 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31400\/7 - 4472. Let j = g - 1557\/112. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}