diff --git "a/data/dm_maths/full_data/9166_11255.jsonl" "b/data/dm_maths/full_data/9166_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/9166_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify ((v\/v**12)\/(v*v**(-2)*v*v*v))\/(v**(-3)*v**(2\/11)) assuming v is positive.\nAnswer: v**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17226, -12523, -4686, 6285?\n\"Answer: 1567*o**2 + 2*o - 18795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 3220*b**2 + 134545*b - 137770.\nAnswer: 5*(b - 1)*(b + 46)*(b + 599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a**2*f + 3777*a*c*f - 4*a*d + a*f - 36*c*d*f + 2*c + 56592*d*f with respect to a.\nAnswer: -10*a*f + 3777*c*f - 4*d + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 39. Let v(o) = o + 10. Let z(c) = -9*v(c) + 2*w(c). Calculate z(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 916 = n + 918, -4*q - n = 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 3. Let v = 8 + f. Calculate the smallest common multiple of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 705.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -788*f + 34966. Determine i(44).\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2145636 is divided by 14115.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 2*l**2 - 2*l - 2. Let j be w(3). Let p be (2 - 4)*(-1)\/j. Suppose 0 = 3*s + 2*c - 44, 9*c - 22 = -p*s + 4*c. Solve g = -3*g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 22 + (-5 - -17)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*w - 3*w**3 - 63*w + 3*w**4 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 582, 2535, 5790, 10347?\nAnswer: 16206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - a**2 - a + 2. Let l be b(0). Suppose 11 = -h + l*h. What is the smallest common multiple of 6 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -59, -5, 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/7 + 6\/(-504)*-174?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y + 300. Give q(20).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:45 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -243, -1758, -5733, -13356, -25815?\n\"Answer: -198*q**3 - 42*q**2 - 3*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/53083 - -11306574\/1857905. Let c = t + -29\/5. Let s = -6 - -4. Put -3, c, 0, s in descending order.\nAnswer: c, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*f*t*w**2 - 4*f*t*w + 4974*f*t - 27848*f*w**2 wrt w?\nAnswer: -68*f*t - 55696*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 7. Let x(j) = 2*j + 14. Let y be x(0). Let i(l) = -l + 6. Let s be i(y). Determine v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -41. Suppose -27 - y = -3*h. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + (1*sqrt(242)*-1 + sqrt(242) - (5 + sqrt(242)*-1)))**2*-3 + 4)*-6.\nAnswer: -2772*sqrt(2) + 5232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 85016*l**3 - 85154*l**3 - 2*l - 8*l**2 + 0*l**2 in the form s + z*l**3 + d*l + n*l**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 32*a**2 - 32*a - 28. Let y = -210 - -179. Let j be z(y). Solve -2*i + 3*d + 17 + 3 = 0, 24 = j*i - 3*d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.95 + -10.25. Let q = t + 8.1. Let u = 0.2 + 1.8. Which is the nearest to u? (a) q (b) 4 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -73, -4, 1, 5, 3728, 2.\nAnswer: -73, -4, 0, 1, 2, 5, 3728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -285*o**3 - 320?\nAnswer: -855*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g**2 + 2 + 45*g**2 - 8*g - 3*g - 15*g**2 - 12*g. Calculate s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhcusjuu. What is prob of sequence cj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/(-2)*48\/18. Let o be 8\/a*(1 + 13). Suppose o*h = 17 - 1. Solve 11 - 2 = 3*r - u, -h*u - 9 = -3*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301871 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.74984t to milligrams.\nAnswer: 64749840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/6 - 1*4\/12. What is the greatest common divisor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*r - 9, -3*z = -2*r - r. What is the common denominator of (-16)\/((-12)\/r) + (-5369)\/1300 and 83\/32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1360\/(6 + -2) + 1. What is the greatest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 5.8. Let w be 28\/20 - 1 - (-23)\/5. Which is the third biggest value? (a) w (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51000 (base 6) in base 10?\nAnswer: -6696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 5:33 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c**2 + 3 - 9 + 4 + 62*c**2 + 4 - 2*c in the form a*c**2 + x*c + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/3 + 10*n + 25\/3 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 21 - 18 + 23. Let v be i(-9). Suppose 26 - 8 = 4*f - v*b, -6 = 2*f - 4*b. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, -3.804 in decreasing order.\nAnswer: -1\/4, -1, -3.804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 310267 by 1.\nAnswer: 310267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2224 + 2224 - 4*h - 10*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4097*d + 5500 = 3822*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 331940 to the power of 1\/2, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**6\/540 - u**5\/270 - u**4\/54 + 3*u**2 - 49. Factor j(k).\nAnswer: 2*k*(k - 2)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 363.626613 to 0 decimal places.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 224, -3, 4, 3, 9, -1, 1.\nAnswer: -3, -1, 1, 3, 4, 9, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*q - 1 = 0, 5*q = -5*w - 19 + 39 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 795 in -2, -37, 4, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -535.26 to the nearest 10.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1397 (base 15) to base 13\nAnswer: 1ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 d, and 1 y when four letters picked without replacement from {r: 6, i: 2, d: 4, y: 2, c: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**5 + 1025790*s**3 - 392036085*s?\nAnswer: -20*s**3 + 6154740*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-8)*x**(-6)*(x*(x**9\/x)\/x)\/((x\/(x**7\/x))\/x))**(-7\/2))**(-2\/25) assuming x is positive.\nAnswer: x**(119\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 0 + 15*h**2 + 4*h**3 - 3*h + 1\/8*h**4 + 9\/5*h**5. Find the second derivative of t(f) wrt f.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526305*j**2 + 526313*j**2 + 526304*j**2 + 526302*j**2 + 526306*j**2 - 2631528*j**2.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 3776 = d + 3771, 2*d - 10 = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -124042220 (base 5) to base 15.\nAnswer: -c15c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 864.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49641, 99184, 148725, 198264, 247801?\nAnswer: 297336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvaabavabbva. Give prob of sequence bbba.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40059.48 centuries in millennia?\nAnswer: 4005.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221210 + -120011100122?\nAnswer: -120002101212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94*q*x**5 - 2*q*x**2 + q*x + 2*x**5 + x**4 + 3*x**2 wrt x.\nAnswer: 5640*q*x**2 + 120*x**2 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*9*(-3)\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59230 + -35378. List the prime factors of o.\nAnswer: 2, 67, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 92 - 79 = -3*c, 3*c = 5*b - 207. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 3*z**2 + z - 1. Suppose 0 = 3*r - 5*k + 17, 15 = -2*r - 2*r - k. Let g(n) = -n - 1. What is the smallest common multiple of g(-8) and m(r)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, 2\/11, -3\/8?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 651\/8 - 81. Let z(x) = -3*x**2 + 5*x + 3. Let t be z(4). Let h be (t\/(-4))\/5*1. Put p, 2, h in descending order.\nAnswer: 2, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + j = 11, -5*s - 3*j + 2565 = 2592 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 25, 5, 1257 in decreasing order.\nAnswer: 1257, 25, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9335? (a) 121 (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16945 by 5.\nAnswer: 3389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(396) - (sqrt(11) - sqrt(88)\/(sqrt(8) + sqrt(128))) - (1 + (sqrt(11) - (-1 + sqrt(99))) + 0).\nAnswer: -4 + 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 - 1.6. Suppose 0 = -4*k + 20, 0 = -3*g - 4*k + 233. Let c = g + -427\/6. What is the closest to 0.1 in -0.3, c, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2658 - -2658.0117. What is j rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149504 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1313088 or -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Total of -1.16 and -7849415249469.\nAnswer: -7849415249470.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 104 in -3, 1\/8, 13\/146?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 1162*a - 1156*a. Let h(j) = j**3 + 14*j**2 + 18. Give h(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3608580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 c when three letters picked without replacement from ddcddcc.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and -424.2574.\nAnswer: 7212.3758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - i = -3*c - 9, 4*c = -i - 2. Let l(k) = k**3 + 6*k**2 - 4*k - 1. What is the remainder when 90 is divided by l(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 55\/(-10) - 3. Suppose -3\/2*t**4 + 9\/4*t**5 - 1\/4*t + o*t**2 - 2*t**3 + 0 = 0. Calculate t.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*p)*(5*p - p - 3*p) - 14*p**2 + 60 - 60.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m - 3. Let i be h(-2). Suppose 5*s - 71 - 29 = 5*n, -73 = -i*s - 4*n. What is the remainder when 82 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**3 - 10*p**2 + 10*p**2 + (4*p - 5*p**2 - 4*p)*(-3 - 3*p + 3) + (-5 + 1 + 3)*(0*p + 0*p - 3*p**3) to b*p**3 + g*p**2 + s + c*p and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 641b8a - 2?\nAnswer: 641b88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 40\/15)\/(-1 - 366\/(-18))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 8:13 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6387 (base 11) in base 2?\nAnswer: -10000011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -647 - -646. Sort -5, o, -4 in increasing order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1036.99999579 - 1037. What is q rounded to seven decimal places?\nAnswer: -0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + 16 + 2*p + 3*p**4 - 17 - 5*p**4 to r*p**4 + j*p**3 + h + s*p**2 + k*p and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 222261550 divided by 53557\nAnswer: 4150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69637 - -18358. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 + 3*j**2\/2 + 17*j + 1576. What is b(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6 = 0, 3*q - q + 2 = 3*s. Let i(m) = 14*m**2 + m. Let n be i(1). Suppose q*a + n = 25. Solve -v + a*u - 26 = -2*v, 3*v - 2*u = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - -2*sqrt(832))**2 - -1*sqrt(13)*2.\nAnswer: 2*sqrt(13) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = b - 9, k = 2*k - 4. Find the common denominator of ((-170)\/120)\/((-1)\/10) and b*(3 - ((-90)\/(-16) - 3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -108 - -49. Which is the closest to -1? (a) 0.5 (b) 2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 10*o**2 - 8*o + 16. Let c be a(9). List the prime factors of c\/(-5) - 56\/(-140).\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/4 (b) -4\/3 (c) 181.3 (d) -814\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1227*i - 4468*i + 1105*i + 1210*i + 1097*i.\nAnswer: 171*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, 0.2, -54, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*t + 16, 2*i - 6 = -2*t + 2. Let v(w) = -13 - 14 + 39 - 15 - w**2 - i*w. Determine v(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/3 - 80266*a**3\/3 - 642214*a**2\/3 - 561962*a - 481692 = 0.\nAnswer: -3, -2, 40141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 9*f**2 + 6*f - 7. Suppose -v + 5*w = -6, -2*v + v + w - 2 = 0. What is the units digit of x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4027 times -0.3\nAnswer: 1208.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.165 less than 0.7?\nAnswer: 6.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 36. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v + 14*v. Suppose -6*p - 291 + 1005 = v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of r**5\/20 + 97*r**4\/16 + 1487. Find o such that j(o) = 0.\nAnswer: -97, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**3 + 18*f**3 + 15*f**3 - 15*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 3*a - 3*a + 4*a - a - a - 2*a + 2*a - 2*a + (-2*a - 3 + 3)*(-3 - 1 + 5) - a + 4 - 4 + 2*a - a - 2*a - 130980 + 130980 + 1457*a.\nAnswer: 1454*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2278*y - 2495*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -949*a**3*k + 2*a**2*k - 2*a*k + 963*k wrt a.\nAnswer: -5694*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**6\/40 - 5*f**3\/6 + 2*f**2. Find the first derivative of i(v) wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16994631?\nAnswer: 3, 23, 71, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 13\/(94 + -3) + (-4964)\/7. Let j = q + 1518. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262610553, 525221104, 787831655, 1050442206?\nAnswer: 1313052757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1000)\/12*(-240)\/(-100). Which is smaller: -4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 109, 108, 107?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2.695 * 69\nAnswer: 185.955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 9:38 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4342 - -13.24.\nAnswer: -4328.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 20*k = 22*k, k + 1 = v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -127 + 64 + 62 + 4*s + (-13 + 24 - 62)*(-4*s + 3*s + 0*s) - 4*s + 3*s + 3*s in the form c + q*s and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -7. Suppose 0*c = x*c. Suppose -2*j + 18 = -c*j. Calculate the least common multiple of j and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12056 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: Round 0.0000012512398 to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-5 + 2)) + (-19 - -19) + 21 + -20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nooon. What is prob of picking 1 o and 1 n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*6\/225)\/((-6)\/(-15))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -112956*m**2. Let r(b) = -580*b**2. Calculate r(a(n)).\nAnswer: -7400253602880*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -829 + 826. Let m = -1.1 + 0.8. Which is the third smallest value? (a) m (b) -3\/7 (c) t (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 5*a**6\/144 + a**5\/24 + a**4\/48 - 2*a**3\/3 + 15*a**2. Let y(w) be the first derivative of j(w). Let y(o) = 0. What is o?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w**(-1\/2))*w\/(w\/w**(3\/2)*w)*(w**0)**23)\/(((w**(-6)*w)\/w*w)\/((w\/(w*w**0))\/w)*(w\/w**1)**(-1\/2)) assuming w is positive.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/((-195)\/(-35))*(3\/(-24))\/((-1176)\/96)?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*f = -b - 20, 5*f = 20. Suppose 0 = h + 5*u - 288, b = -4*h + 3*h - 3*u + 292. Suppose 5*g + 0*g - h = 3*y, -2*g + 2*y = -120. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3) + 2)\/((-2125)\/(-3825))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -843.35 - -1.\nAnswer: -842.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - 2*u**2 - u**2)*(2 + 1 + 11).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**3 - 6*w**2 - 3*w + 6 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 3. Suppose w - j - 3 = 0. Let h be (-2)\/6*(w + -1). Which is smaller: h or 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5 - 12*j**4 - 43*j**3 - 30*j**2.\nAnswer: j**2*(j - 15)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70419811.\nAnswer: 7, 11, 130649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3361633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.44 - 34.44. Sort 0.3, p, 2\/33.\nAnswer: p, 2\/33, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.0051 - 27. What is r rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1718.76 - 41.76. Let s = -1677.0001358 + t. What is s rounded to six decimal places?\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11662.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1719 - 325 = -4*f, -2054 = -4*f + 3*b. What is the tens digit of ((-6)\/(-5))\/(2 - f\/260)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.072367 times 5\nAnswer: 0.361835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*3280.15.\nAnswer: -2624.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1471354\/3 + -490451. What is l in -4\/3*l + 22\/3*l**2 + h*l**5 - 8 - 4\/3*l**4 - l**3 = 0?\nAnswer: -2, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 = -3*m + 3*f, m + f = 5. What is the third derivative of g**3 + 5*g**2 + g**3 - 5*g**2 + 2*g**m wrt g?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 - 5*b)*(-3 + 4 + 1)*(2 + 0 + 1).\nAnswer: -30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1922*r + 1 - 4091*r - 1 + 2003*r.\nAnswer: -166*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (43 + 2)*(-5)\/(-5). Let j be (-235)\/(-45) + (-10)\/r. Solve -5*c = 5*h - 4*h - 27, -j*c = -2*h - 21 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6 = 2*o, 5*i - 24 = 4*o - 36. Suppose 0 = -i*m + 13*m - 5837. What is the remainder when m is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 1 + 6 + 8115*o**2.\nAnswer: 8115*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 320\/11 or 775258?\nAnswer: 775258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -47, -171, -405, -785, -1347, -2127?\nAnswer: -3161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 319 and -77 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccdcccczczzzccczd. Give prob of sequence dczz.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4911, -19558, -43959, -78114, -122023, -175686?\n\"Answer: -4877*a**2 - 16*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (0 - (-12)\/3). Let b be -6 + 4 - 0 - z. What is b rounded to one dp?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*b - 110*b - 1 + 289*b - 98*b.\nAnswer: -17*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -15 - (-3 + 1) - 1 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(3\/7))\/g**(-3))\/(g**(-2)*g**(2\/9)\/g) assuming g is positive.\nAnswer: g**(400\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 22 = -3*j. Let a(m) = -m**2 - 18*m - 3. List the prime factors of a(j).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -89\/2 (b) -0.4 (c) -98 (d) 1 (e) -0.2 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -118*x**3 + 0*x + 6*x**2 - 5 - x + 117*x**3. Give z(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1\/4*n**4 - 1\/10*n**5 + 0*n**3 + n + 0*n**2 + 0. What is the third derivative of u(w) wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 1\/28*q**4 - 1\/210*q**5 - 2\/21*q**3 + 0 + 0*q - 15*q**2. Suppose p(j) = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 3*v - 24, -4 = 2*j - v - 2. Put 0, 3, j in decreasing order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1282 - -6.1282. Which is the closest to 0.1? (a) -1 (b) 6\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9 and 254805?\nAnswer: 229324.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -1\/64, -0.1, 4 in decreasing order.\nAnswer: 4, -1\/64, -0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10649521?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g**4\/2 - 18*g**3 - 129*g**2\/2 - 90*g - 42 = 0.\nAnswer: -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z + 101. Let y be f(15). Calculate the highest common factor of 172 and y.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 37\nAnswer: 25.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192707959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 34213 divided by 1\nAnswer: 34213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a**3 + 4*a**2 - 10*a - 5. Let m be 2\/6 - 8\/(-3). Let o(z) = -5*z**3 - 4*z**2 + 11*z + 5. Let f(s) = m*o(s) + 4*b(s). Determine f(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137706 - 0?\nAnswer: 137706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-4)\/16*-6). Solve j + 1 = v*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/(-14))\/(5\/7)*5\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 11*z**2 - 12*z + 17. Let w be l(12). What is the greatest common divisor of 68 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -126*g**2 + g - 1. Let n(c) = c**2 - c - 1. Let l(u) = 60*u**2 + 2*u + 3. Let r(k) = l(k) + 3*n(k). Let h(d) = 3*o(d) + 7*r(d). Is h(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/27)\/((-135)\/(-810)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*i - 20, o - 2*o = -2. Let l = -7 - i. Suppose -w + 5*w - 188 = l. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*r + 89, -4*c - 8*r + 376 = -12*r. Suppose -4*n + c = -147. Is n a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -14*d + 126. Let q be f(8). Suppose 3*u + 3*o = 498, 16*u + o - 336 = q*u. List the prime factors of u.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741088107 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 16 = -5*z + 2*m, -2*z - 2*m = 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, -8, 3 in decreasing order.\nAnswer: 3, 1, -8, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 7:41 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/5640 and -53\/1818900?\nAnswer: 3637800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 92699, 92784, 92861, 92930, 92991?\n\"Answer: -4*q**2 + 97*q + 92606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = l + 13404, -3*l = -0*l - 4*m + 40188. What is l rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.022 + -22.022. Let y = w - -22.4. Which is the third smallest value? (a) -2\/19 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 139*m + 855. Determine f(-8).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - 15*a - 12. Give v(-9).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -200*j + 203*j - 441. Let t be (-21)\/j*(-63 - -1). Is t at most as big as 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 107 = -29*a + 28*a, 40*a = -120 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142165122 a multiple of 762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35507\/16 - 2223. Calculate the common denominator of 111\/10 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, 1, 1\/10, 7?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -622? (a) 3 (b) 0.4 (c) -198\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 5?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2 + 3. Suppose -3*o + 5 = -n. Suppose -3*r + 365 = o*r. What is the remainder when r is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 6\/4)\/(13125\/247500).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*d - 7 - 8 = 0, 4*n - 3*d - 9 = 0. Suppose 0 = 2*v + 3*c - 74, -2*c - 2*c = n. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -0.1. Let n = 1.1 - 0.5. Let h = 0.2 - n. Which is the third biggest value? (a) 3 (b) h (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-3))\/8*17\/((-578)\/1122)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1\/420*b**6 + 0*b**3 + 0 + 0*b + 4\/315*b**5 + 1\/63*b**4 + 5*b**2. Let k(h) = 0. Calculate h.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585942309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102296*i + 10 = -102291*i, 5*w + 6*i + 143 = 0 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3247*i - 93050 = 43324 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k + 54. Let u be o(-5). Let h(t) = -24*t**2 - 3 + 16*t**2 + u*t**2 - 3*t. Let z(v) = -6*v**2 + 16*v + 16. Calculate -16*h(q) - 3*z(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(3*6*(1*sqrt(1300) + 2) + 0).\nAnswer: -900*sqrt(13) - 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/3))**(-2\/3)*((i*i**(-3\/5)*i)\/i)\/i**(-1\/2))\/(((i**5\/i)\/(i*i**(-4)\/i))\/((i\/(i**5\/i*i*i*i))\/i**(-2\/5))) assuming i is positive.\nAnswer: i**(-1123\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 25 - 65353446?\nAnswer: -65353421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*t + 75 = 169*t - 88*t. Let c(k) = k**3 - 2*k**2. Let v be c(5). Calculate the highest common factor of t and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11945264 + 1\nAnswer: 11945265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -272662.19 rounded to the nearest one hundred?\nAnswer: -272700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(624))\/sqrt(12) - (sqrt(52) + sqrt(52)*4*-3))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65534022 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21984, -87882, -197674, -351342, -548868, -790234, -1075422, -1404414?\nAnswer: -1777192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(5) - sqrt(20)\/(sqrt(16)\/sqrt(4) + sqrt(4))) + sqrt(5)*3 + -1 - ((2*(sqrt(180)*-2 + sqrt(180)))**2 + sqrt(180))*-4).\nAnswer: 55*sqrt(5)\/2 + 2883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 413 + -1645a?\nAnswer: -16047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 574 divide 333434582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*v - 36 = 0, 1 = -3*v - 8. Suppose r*d - 22*d + 514 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165 - -173. Put v, 5, 2\/15, 1\/4 in ascending order.\nAnswer: 2\/15, 1\/4, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -25827?\nAnswer: -25828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -4 (c) 0.3 (d) -5 (e) 1 (f) 167\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -28. Suppose v*k + 6 = 4*k. Let q(r) = 8*r**3 - 4*r**2 + 6*r + 1. Is q(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.02679 millilitres in litres?\nAnswer: 0.03602679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6870 a factor of 1397543490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gussnughususnf. What is prob of picking 1 f and 1 u?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*u = 42*u + 535 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(200)*3)\/(1*sqrt(1440) + sqrt(1440)))\/(((sqrt(250) - (sqrt(250) - (sqrt(250)*1 + sqrt(250) + sqrt(250)))) + sqrt(10) + 1*sqrt(10)*2)*-4).\nAnswer: sqrt(2)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -424\/55527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370*j = -231*j - 36979421. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10568569 or 46?\nAnswer: 10568569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 398, -18 in increasing order.\nAnswer: -18, 9, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 15*j + 21. What is o(-9)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1702, 2, 0.3, 5\/4, -0.8.\nAnswer: -0.8, 0.3, 5\/4, 2, 1702","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.924009s to minutes.\nAnswer: 0.41540015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.2 (b) 0.4 (c) -2\/7 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/4 (b) -55 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2216 is divided by 893?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809410?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 74*x + 17. Let o(u) = 294*u + 69. Let z(a) = 15*j(a) - 4*o(a). Is z(-29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 + -70. What is the remainder when b is divided by 16\/(-6)*6\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825861 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) + (-2)\/(240\/28). Let r be (2\/6)\/((-6)\/(-4)). Which is greater: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 21795\nAnswer: -1\/4359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -92*v**3 + 870*v**2 - 1072*v - 8. Determine j(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7 + 2 + 6*n + 3 - 6. Let b(o) = 2*o - 3. Let f(x) = 8*b(x) - 3*j(x). Let v(k) = 3*k**2. Determine v(f(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 221*h + 25151 - 84158. Calculate the remainder when h is divided by 148.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/133436890 or 1?\nAnswer: 3\/133436890","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 - 5 + 6022*l - 6034*l + 3 + (-2*l - 2*l + 6*l)*(-l - 3*l + 3*l) - 1 + l**2 + 1.\nAnswer: -5*l**2 - 12*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajlajaljjjoj. Give prob of picking 3 a.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3135252225 + 1?\nAnswer: 3135252226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 14. Let n(b) be the second derivative of b**5\/20 - 5*b**4\/12 - b**3\/6 - 2*b**2 - 7*b. Is n(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.96 + 1.4. Let x = 5233.6 - 5234. What is the second smallest value in s, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/6*-9)\/(-2*(-11)\/44)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z + 22. Calculate f(-6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**3 - 20*x**2 + 18*x = 0. Calculate x.\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 339779041 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000756 rounded to 6 dps?\nAnswer: -0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1428 and 961401?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 893076*d + 1977025 wrt d.\nAnswer: 893076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2091 = 3*n, -3*n + 9*i = 4*i - 2081. Let l = -435 + n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1180)\/(-472)*(-12)\/10\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(3)*1*-6)**2.\nAnswer: 60*sqrt(3) + 133","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000322614 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 603507 + -910507. What is p rounded to the nearest 10000?\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441604?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 + -0.5. Suppose 0*g + 2*g = 0. What is the nearest to g in -5, -6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*1 + (-1*sqrt(170) - sqrt(170))*-3 + sqrt(170))\/((-3*sqrt(160) - sqrt(10))*3).\nAnswer: -8*sqrt(17)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -2*v - 23, -2*c = -5*c + v - 5. Put c, -9\/5, -0.5 in descending order.\nAnswer: -0.5, -9\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221 or 664\/3?\nAnswer: 664\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d**2 - 41*d - 204. What is g(-7)?\nAnswer: 1112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 b when four letters picked without replacement from bwbbbbbbbwbwwb.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -8*m**3\/3 + 3*m - 8922. Let p(o) = 2*o**2 - 29*o. Determine p(l(t)).\nAnswer: 128*t**4 + 136*t**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-4))\/(2*1). Suppose 2*t - m = 3*u - 27, -2*t = 4*u - 44. Solve -h + u = h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1438*s - 121115 - 18371 for s.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) -27\/22211 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - h = 2*q + 791, -5 = 5*h. Round q to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 + 110826572?\nAnswer: 110826572.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - u = 110. Let m = 15 + u. What is the common denominator of m\/(-42) - 38\/(-18) and 44\/7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12869960 rounded to the nearest one hundred thousand?\nAnswer: 12900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Let s be y(-2). Let l(x) = -x**3 - 11*x**2 - 4*x - 26. Let d be l(-11). Calculate the greatest common divisor of s and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 0*u = -80. Calculate the least common multiple of u and 1*42 + (-23 - -25).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 848901080?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 134808*n - 1752233. Determine k(-13).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 9 - 8 + 13 + 39*x + 3.\nAnswer: 39*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -0.1, 12819\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 677278 or 4063661\/6?\nAnswer: 677278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from ityye.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 12 = 0, -2*i = -3*q + 117 - 385. What is the greatest common divisor of i and 4160?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + -1.95. Suppose 0 = -3*s + 35 - 38. Let v = 2 + -2.2. Put s, n, v in decreasing order.\nAnswer: v, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18673 and 268523.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -891 + -4?\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x - 6. Let f(y) = 5*y + 6. Determine -6*f(s) - 7*i(s).\nAnswer: -2*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 619, -0.4, -5?\nAnswer: 619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61.32 + -63. Let x = -97.68 - a. Let c = 95.99999616 + x. What is c rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 45 = -5*m, 0 = 4*q + 2*m - 44. What is the highest common divisor of 104 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 14 = -8*s. Let f(j) = -j**3 - 8*j**2 - 5*j + 12. Let y be f(s). Is (-156)\/(-6*y\/(-16)) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Suppose -2*s + w*s = 5*b - 250, b + 3*s = 66. Suppose 4*k = 61 + b. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 980*v - 1840 = -21440 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -70*d + 39*d + 33*d + 62 in the form a + x*d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 23 - 41. Which is bigger: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7665 and 606995?\nAnswer: 12746895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 41*d + 3. Let n = -5 + 6. Is z(n) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 2:36 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3274814t in nanograms?\nAnswer: 327481400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 37744, 75453, 113162, 150871, 188580?\n\"Answer: 37709*r + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522039 and 68124.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 9, x: 10}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3984077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 964921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 94a3e (base 16) to base 4\nAnswer: 2110220332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 994 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08737816 rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of -1\/4*h**4 + 0*h**2 - 4\/3*h**3 + 0*h**5 - 94*h + 0 + 119\/15*h**6. Find the third derivative of m(p) wrt p.\nAnswer: 5712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/20 + 6\/5. Suppose -2*b - 2*j = 12, 4*j + 14 = 3*b - 2*b. Let c be -2 + b\/(-2)*3. Are x and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -i - 3, 0*c + 2*c + 2*i = 2. Solve -v + 3 = -c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 + (-44 - -64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 4*c + 10. What is r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5870019 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: Simplify ((0 + sqrt(2299) + sqrt(2299) - sqrt(2299))*4)**2 + (sqrt(2299) + -1 + -2)**2.\nAnswer: -66*sqrt(19) + 39092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 44*g**3 + 36*g + 36. Let a(x) = -4*x - 2*x + 2*x + x**3 + 5*x + 11 - 10. Give 72*a(o) - 2*z(o).\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(220)\/sqrt(36)*-1)\/((sqrt(11) + sqrt(99))*1 - (sqrt(11) + 6*sqrt(11)*1 + sqrt(11))).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -339729, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 124 = -3*g, -35 = -g - 5*c + 11. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75991*4.\nAnswer: 303964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose -19*a - 84 = -47*a. Put r, -0.1, a in descending order.\nAnswer: a, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*3600\/100?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/2 - -2) + 1. Suppose 0 = -2*q + 1 - 5. Let c(y) = 24*y**2 + 2*y - 1. Let z be c(q). Calculate the greatest common divisor of b and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.3, -5, 0, -0.6, -5.062?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/6 - (-23)\/6. Let k(g) = g + g + 0 + v. Let h be 0*2\/(-6) - -4. Let c(f) = -f - 2. What is h*k(y) + 9*c(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 625\/10 + (-5)\/(-10). Suppose 39 = -2*b + o. What is the remainder when 129 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 6, p: 1, j: 4, w: 4}. What is prob of picking 1 w and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 6 - 6 - 3*y. What is n(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-105 + (-21910)\/(-210))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37658*a + 3304 = 37717*a for a.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1719023 + -48?\nAnswer: 1718975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 39880060 to the power of 1\/2, to the nearest integer?\nAnswer: 6315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 282833071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -361053 <= -361056?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 2*q)*(0 + 1 - 3).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17322 and 228.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/14 + (-94294)\/(-14). Let q = 7360481\/2882 - -547938\/131. Let s = q - f. Calculate the common denominator of -75\/4 and s.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + sqrt(847) + -1*sqrt(847)*-2 + 0)**2.\nAnswer: 330*sqrt(7) + 7648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:37 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 58*c**2 - 11*c + 143. What are the prime factors of a(8)?\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -735, -1481, -2477, -3723, -5219?\nAnswer: -6965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67423, -136002, -204581, -273160, -341739?\n\"Answer: -68579*t + 1156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5503, 5523, 5557, 5611, 5691, 5803, 5953, 6147?\n\"Answer: c**3 + c**2 + 10*c + 5491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*q**2*u**2 + 2*q**2*u + 10*q**2 - 5*u**3 - 2 wrt u?\nAnswer: 86*q**2 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -193902093+5\nAnswer: -193902088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 23*b + 29. Let i(j) = -12*j - 16. Let r(z) = 3*a(z) + 5*i(z). Let f = 13 + -18. Let v(t) = -4*t - 3. Calculate f*v(s) - 2*r(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 4*v + 42. Let a be m(-10). Let z(f) be the first derivative of 0*f + 0*f**a + 10\/3*f**3 - 7. Let i(l) = -l. Determine i(z(x)).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801.17497 rounded to zero dps?\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2662658 is divided by 147925?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*z - 3965 = -4028, 0 = -5*l - 2*z - 126 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(80) + -2 + (4 + ((sqrt(1000) + sqrt(40))\/sqrt(8) - sqrt(5)))**2)*-5.\nAnswer: -695 - 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -857 = -185*w + 41 - 158 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 57 + -58. Let f be o*436\/(-24) + (-1)\/6. Calculate the greatest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/7)*j**(-2\/5)*j**(-5\/2)*j*j**(-3)*j)\/((j**(-1\/4)\/(((j\/(j\/j**6)*j)\/j)\/j))\/(j**(-1\/2)\/j)**(-16)) assuming j is positive.\nAnswer: j**(3569\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 87167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 - 5*j**2 - 11*j**3 + 6*j**3.\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 4. Suppose 3*r - x = -r. What is the remainder when 1 is divided by -2 + 4\/1 - r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 265.7, -18, 2, 4, 0.3, 5.\nAnswer: -18, 0.3, 2, 4, 5, 21, 265.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.6. Let l = -0.1 - r. Let j be (-68)\/85 + 3\/30*23. Which is the biggest value? (a) l (b) -2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -85652.\nAnswer: -1\/21413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30*(-18)\/29160)\/(((-2)\/(-4))\/(30\/20))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-4)\/(-2)*2\/40). Solve 3*u + w = -d, 3*u + 30 = 5*d + 2*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15000 = 3411*p - 3661*p for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*d + 229095 = 4267*d for d.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224173892?\nAnswer: 2, 487, 115079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u**2 - u**2 - 7*u**2)*(214*u - 109*u - 108*u) to the form s*u**3 + r*u**2 + m*u + i and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 - 162*z**3 - 201*z**2 + 1980*z.\nAnswer: 3*z*(z - 55)*(z - 3)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 5*h - 2*h)*(-37 + 60 + 49) as c*h + a and give c.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 3, n: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3*50\/135)\/(16\/48))\/((-1)\/3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 a when two letters picked without replacement from {d: 2, a: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 4*q**2. Let f(a) = 69*a**2 - 127*a**2 + 67*a**2. What is f(c(p))?\nAnswer: 144*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(171)*1 + -4 + (0 + (sqrt(171) + -1)**2)*5.\nAnswer: -27*sqrt(19) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 - 138*t**3 + 1800*t**2 - 5608*t + 5088.\nAnswer: 2*(t - 53)*(t - 12)*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**4\/12 + 10*v**3\/3 - 2*v**2 + 164*v. Let s be u(-23). What is the highest common factor of s and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from kknkkknkkk?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + sqrt(7) + 0 + 3 + 0 + sqrt(448).\nAnswer: 3 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*t - 28*t + t - 2 - 3.\nAnswer: -47*t - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -3, -544582?\nAnswer: -544582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -12*y + 6*y + y. Let m(b) = 11*b + 0*b + 0*b. Calculate -4*m(l) - 9*z(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40.87 and -79.1.\nAnswer: -3232.817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 38144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122229370.\nAnswer: 2, 5, 12222937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -5*u**9\/36 + u**6\/20 - 125*u**5\/3 - 2897*u**2. Find the third derivative of b(h) wrt h.\nAnswer: -8400*h**3 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16740.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -8*p + 55. Let l(x) = x**2 - 5*x - 1. Calculate l(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**4\/12 - v**2. Let d(n) = n**2 - n - 1. Let u(q) = 7*q**2 - 8*q - 8. Let s(y) = 24*d(y) - 3*u(y). Determine l(s(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49069.\nAnswer: 49069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72177 - 11?\nAnswer: -72210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24605 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-5)*(322\/(-28) - -8 - -11). What is the third biggest value in b, 0, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-14))\/((-4)\/7). Which is the third smallest value? (a) p (b) 5 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**3 - t**2 - 4*t. Is m(-2) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o**(1\/5))\/o*o)\/(o*o\/((o\/(o*o\/((o*o**(1\/9)\/o*o)\/o)))\/o)))**15 assuming o is positive.\nAnswer: o**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.470223882 rounded to 3 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 132100 (base 5) in base 10?\nAnswer: 5275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - g - 1. Let z be x(3). Let q(w) be the second derivative of 0*w**z + 1\/24*w**4 - 1\/60*w**6 + 0*w**3 + 0 + 0*w**2 + 2*w. What is a in q(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480309863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(18\/(-20))*85395\/11386.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17250381 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 60*c**3 + 3*c**2 - 8*c. Let a be n(2). Suppose 16*w - a = 2*w. Calculate the remainder when 304 is divided by w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.952648 litres to millilitres.\nAnswer: 7952.648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 6, -3, 1 in descending order.\nAnswer: 6, 3, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 7 - 15 = 0. Solve -5*d = 5*f + 62 - 17, -y*d + 5*f = -17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.97 + -2.062. Let r = -0.008 + t. Let n = -2 - 3. What is the nearest to r in -10, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7770 and 1345.\nAnswer: -6425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 276473064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 144, 216, 288?\nAnswer: 360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.063361174344 + -0.151.\nAnswer: -0.087638825656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4730765*0.8\nAnswer: -3784612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*c**2\/2 - 14735*c\/2 + 6675.\nAnswer: 5*(c - 267)*(11*c - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 130*n. Let p(f) = -40*f**2 + 23*f**2 + 19*f**2. What is p(c(l))?\nAnswer: 33800*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**16\/((m*m*m**(-1\/5)*m)\/(m*m**(-7)*m)) assuming m is positive.\nAnswer: m**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from ddtzztddztdt?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14*y - 54 = 0. Let a be -2 + y - ((2 - -1) + 1). Solve 1 = -u - a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, e: 3, a: 1}. Give prob of picking 2 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42004 is divided by 4363?\nAnswer: 2737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 2*p + q - 5 = 0, -4*q = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {w: 5, o: 1, n: 8, l: 1, r: 2}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -146, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**3 + 2*w**2 - w - 3. Let r = 8 - 5. Let v be y(r). Suppose -5*i = -755 + v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-2)*8\/12. Let f be b - (-1 - -2 - -2). Factor -2\/3*l**5 + 0*l + 2\/3*l**3 + f + 2\/3*l**2 - 2\/3*l**4.\nAnswer: -2*l**2*(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -904.\nAnswer: 1\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1134415 + -1434?\nAnswer: -1140253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 8. Let m(o) = 3. Let y(n) = 17*m(n) + 6*u(n). Differentiate y(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**6\/24 - g**4\/4 - g**2. Let l be (9\/(45\/170))\/2. Let n(u) = -14*u**3 - 17*u. Calculate l*o(s) - 6*n(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2. Let d be ((-7359)\/(-44))\/((-3)\/(-8)). Let x(n) = -446 + d + 10*n. Calculate x(r(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 6 + p**2 + 12.\nAnswer: p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-48)\/(-10))\/(0 + (-21)\/(-140))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1012 - 1011.551. Let w = -0.262 + j. What is w rounded to 2 dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 17*f**2. Let y(q) be the first derivative of -17*q**3 + 562. Calculate s(y(u)).\nAnswer: 44217*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-44) - (-2)\/((-44)\/(-2094)). Let s = j + -87. Solve 12*m = s*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -217, -15, 32, -5, -4, 4 in increasing order.\nAnswer: -217, -15, -5, -4, 0, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 - -6.1. What is the nearest to -2\/9 in i, 7\/4, 2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363 = 3*i + 360*q - 372*q, 0 = -3*i - 2*q - 17 + 60 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-9\/5)))\/(v*v**17))\/(v**(-1\/17)*v*v**(9\/4)) assuming v is positive.\nAnswer: v**(-6593\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 188504*f**2. Let d(v) = -v. Determine k(d(u)).\nAnswer: 188504*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 2\/3 (c) -20 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -1 + 0*l + 5*l - 3*l. Let b be 63\/6*2\/3. What is the tens digit of c(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 760 - 670. Let n = b - 115. Which is bigger: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19\/5? (a) -2 (b) 2.2 (c) 0.4348\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 16 = 0, 3*l - 288*h = -284*h + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*z**2 - 21*z**2 - z + z - 36*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.5 in -0.3, -5, 4\/5, 2\/11, -8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114 (base 9) to base 15.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**5 + h**4 - h**4 - h**5 + 0*h**5 + 3*h**5 + 2*h**4 + (-2*h**2 - 2*h**2 + 3*h**2)*(h**3 + 2*h**3 - 2*h**3) - 892*h**5 + 887*h**5 + 185*h + 79*h.\nAnswer: -7*h**5 + 2*h**4 + 264*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163497367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of z**5 - z**4 - 146*z**2 + 200*z - 19.\nAnswer: 20*z**3 - 12*z**2 - 292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -70\/11 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 4*f**2 + 5*f**2. Let k(a) = -4*a**2. Let r(j) = -21*j**2. Let w(q) = 22*k(q) - 4*r(q). Give w(v(y)).\nAnswer: -16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 691*x**5 - 4*x**3 + 3219*x?\nAnswer: 13820*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 6 = -2*p. Solve -3*h + 28 = -5*h + p*b, 0 = -2*h - 5*b + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 7298724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 159 + -145. Let c = j + -13.9065. What is c rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 6*v**2 + 7*v**2)*(3*v + v - 2*v) + (-1 + 1 - 1)*(4*v**3 - 3*v**3 - 3*v**3) - v**3 + 4*v**2 - 4*v**2.\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i = 12. Is (4\/1 - i) + 52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069391891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.66 + -0.34. What is the second biggest value in g, 3\/2, 5\/3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1437 - 498. What is the remainder when m is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 105368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -8*b**3\/3 + 9*b**2\/2 - 7. Find the second derivative of d(o) wrt o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 1. Let i(n) = -16*n + 14. Let z(g) = -3*g + 3. Let h(p) = 2*i(p) - 11*z(p). Suppose -4*o - 1 = -5. Let s(y) = o*h(y) + 3*m(y). Determine s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104806 is divided by 26197?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-264)\/60*(-13 + 2 - -1) and 18?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112261 is divided by 462.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 64*j**2. Let y be (1*-14)\/((-5)\/(-5)). Let z be (-11)\/(-2)*(-8 - y). Let c(g) = -31*g - 35*g - z*g + 100*g. Calculate c(r(q)).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*x + 91 + 209, -u + 200 = 2*x. Let i = x - -207. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 6*t**2 - t + 8. Let k be 12*3\/(6\/1). Let b be j(k). Suppose -b*n = -10 + 2. Solve -3*u + n*h - 21 = 0, -u - 2*u = 3*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -12*r + 4*r. Suppose 3*q = -q + 8. Solve p + r = q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119718 and 28314046?\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 - 6*f + 8. What is the remainder when 12 is divided by k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1942518726.\nAnswer: 2, 3, 35972569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.79181212 to two dps.\nAnswer: 6.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28.691 or 1\/15?\nAnswer: 28.691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 19. Calculate the remainder when 9 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {w: 14, l: 4}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(0 - 3 + 0)*(3*g - 6*g + g)*(-355 - 551 - 244 + 362).\nAnswer: -9456*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 259 - 705 = 0. Let i = 493 + q. Suppose -150 = -4*s - s. What is the remainder when s is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321306.\nAnswer: 2, 3, 53551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of k**5\/20 + k**4 - 2*k**3 + 6*k**2 - 138*k. Determine s(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -202*s - 2818. What is the remainder when 2229 is divided by x(-14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*d - 46*d + 88*d - 1208*d**2 - 146859 + 146859.\nAnswer: -1208*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/(-2)*5\/(-2) and 41\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8, 14 in descending order.\nAnswer: 14, 8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.09374 take away 3?\nAnswer: 5.09374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -987, 0, 1 in decreasing order.\nAnswer: 1, 0, -987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23032 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/6822 and 5\/10162506.\nAnswer: 30487518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/36)\/(35\/30)*4\/(-22)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -4. Let g = 3 - 2.9. Which is the closest to x? (a) g (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20122022220 + 1?\nAnswer: -20122022212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 9) in base 2?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -124, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -13405595480310 take away 8?\nAnswer: -13405595480318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 20. Suppose -3*u - 4*f = -91, -2*u = 2*u - r*f - 168. Suppose u = -4*t - 7. Find the common denominator of -31\/9 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -280*x - 1387. Determine v(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 93377*p + 2147647. Determine y(-23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 - -0.9. Let f = -0.5 + h. Let q = 0.3 + f. Is q bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799375.\nAnswer: 5, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - q**2 - q - 2. Give m(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7977*f*p**2 + 45*f*p - 20*f - p wrt p.\nAnswer: -15954*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = v - 118357 - 104641, -w + 1 = 0. Round v to the nearest ten thousand.\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppps when four letters picked without replacement from {z: 1, s: 1, p: 5, l: 1, i: 1}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13123668.65 + -118452.35. Let k = p - -13242044.000148. Let u = k + 77. What is u rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095572926.\nAnswer: 2, 7, 2417, 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1004287892 to the nearest integer?\nAnswer: 31691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z - 12*z - 3 + 8*z + 8. Let d be y(0). Suppose d*n + g - 35 = 2*n, -4*n = 5*g - 65. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-30))\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 44. Which is the nearest to q? (a) -3 (b) -1\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 5. Differentiate 9*w**3 + 0 - 4*w**3 - 3 + g wrt w.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.052 + 1.162. Let o = -1 + n. Let g = -0.201 + o. What is g rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 486 and 1215.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1810? (a) -0.04 (b) -1\/2 (c) 0.6 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2 + 5*c + 7. Let f(r) be the second derivative of r**4\/4 + r**3\/3 + 3*r**2\/2 - 5*r. Determine -5*f(l) + 2*q(l).\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17714.\nAnswer: 2, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:42 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 337345 = -3*t, 270952 = 2*v + 3*t - 403750. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.86557428 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 974 (b) -1.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242254471 is divided by 128.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 22045923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 12:49 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2335804815?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 14*r**2 - 196*r - 173. Give u(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3697\/232 - -270\/29. Calculate the common denominator of u and 53\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 15. Suppose 0 = 2*b - 4*b + 4*d + 30, 44 = 3*b - 5*d. Let n be y(b). Let v = -340 + 350. Solve -4*l - v = n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -36. Suppose 5*x - 9 = x + m, -3*m - p = x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 11:21 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -143*b**6\/720 + 7*b**4\/12 - 12*b. Let w(g) be the third derivative of r(g). Is w(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4067, 5963, 7859, 9755?\n\"Answer: 1896*s + 2171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4584704, 4584705, 4584692, 4584659, 4584600, 4584509, 4584380?\n\"Answer: -j**3 - j**2 + 11*j + 4584695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttgrxtgrtxgtddxff. Give prob of picking 1 g, 1 t, 1 d, and 1 f.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + -1*sqrt(78)*-3)\/(sqrt(12)\/sqrt(2)*-5).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -44 - (1 + -2 - 0). Let v(s) = -26*s**2 + 6*s + 9. Let q be v(-2). Let i = z - q. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1 (c) 106 (d) -0.5 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 12*v - 75. What is a(21)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 12*f - 9. Let u be s(7). Let p = u - -873\/2. What is the second biggest value in 1\/14, -0.4, 2\/11, p?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -103?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(175) + (sqrt(175)*2)**2 + sqrt(21)\/sqrt(3)*-2)*-3 + (sqrt(2100) - 2*sqrt(2100))\/(sqrt(30)\/(sqrt(40)\/sqrt(4) + sqrt(10))).\nAnswer: -2097 - 29*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74397033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r - 77 = -245 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 681*c + 501*c - 867, -5*c + 2*c = -v + 26 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 792?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55391595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/8064 and -71\/160.\nAnswer: 40320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-3)\/2)*18\/(-21). Let j = -53\/28 - n. What is the closest to -0.1 in 0.09, j, 0.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16)**(-2\/23)\/(z\/(z*z\/z**(-4\/9)))**(30\/11) assuming z is positive.\nAnswer: z**(1934\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -472 in decreasing order.\nAnswer: 2, -2, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 + 38*s - 132. Calculate d(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 4*a + 5. Let n be o(5). Let f(w) = w**2 + 5. Let u be f(n). Suppose -u*t + 8 = -12. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h + 12. Let f be g(-11). Suppose -3*q = -f - 12. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 952 + -952.7. What is the third smallest value in -5, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -51*j**5 - 2275*j**4\/4 - 2235*j**3 - 6345*j**2\/2 + 540*j - 409. Find a such that r(a) = 0.\nAnswer: -3, 4\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 3:38 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**3*x\/((x\/(x\/(x**(-2\/9)*x))*x)\/x))\/(x**2\/((x\/((x\/(x*x**(-1\/2)\/x))\/x))\/x)) assuming x is positive.\nAnswer: x**(-77\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -726, -1436, -2148, -2862, -3578?\n\"Answer: -s**2 - 707*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**2 - 120*f + 900 = 0. Calculate f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/4 + o**3\/3 - o**2\/2 + 8*o. Does 32 divide i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5*i = 8. Find the second derivative of 7*w**3 + 2*w**2 - i*w**2 + 2*w - 6*w**3 wrt w.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2. Let r(q) = -2*q - 4 - 4 + q - 5*q. Let i(g) = -2*g - 3. Let h(v) = -8*i(v) + 3*r(v). Determine h(y(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 70, -687, -1442, -2195, -2946, -3695, -4442?\n\"Answer: z**2 - 760*z + 829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -13\/2*k**2 + 21\/4*k**4 - 10 + 0*k**3 + 0*k. What is the second derivative of r(n) wrt n?\nAnswer: 126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452882295 divided by 90576459\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 11. Let b(f) = 18*f**3 - 1. Let o(q) = -17*q**3. Let j(k) = h*o(k) - 4*b(k). What is the first derivative of j(n) wrt n?\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11 = f, 4*l + 2*f = 38 + 4. Let x(g) = -l + g**2 - 7 + 3*g + 5. Let z be x(-5). Solve -3*i - 9 + 21 = z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 631*n - 149*n + 85*n to f + h*n and give h.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1961.1 from -219417958.\nAnswer: -219419919.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001995071835 to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 37?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 19*b - 20 = 0, 0 = -4*p + 5*b - 685. Suppose 4*o = -22 + 6. Find the common denominator of p\/(-12) - -3 - o and -59\/34.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7096*t**5 + t**2 - 23 wrt t?\nAnswer: -425760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -91, -353, -789, -1399, -2183?\n\"Answer: -87*x**2 - x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 17 = 4*f, -2*f + 16 = f - 4*x. Suppose 2*w = 3*z + 593, -f*w + 4*z - 295 = -1487. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 4558806?\nAnswer: -4558788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = -4*f, -4*f = -i - 3*i - 28. Suppose -b + f*b + 2*v + 6 = 0, -5*v - 15 = -5*b. Let k = 0 + 0.3. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28700 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 1:46 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3113330320 + -10?\nAnswer: -3113330330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n**3 - 4*n**2 - 3*n - 2. Let c = -16 - -7. Let z = c + 6. What is the tens digit of s(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11650916?\nAnswer: 2, 17, 31, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - -1344?\nAnswer: 133c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**4 - 66*p**5 - 68*p**5 + 132*p**5.\nAnswer: -2*p**4*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/11 (b) -2\/21 (c) -4 (d) -0.3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1452, -1419, -1350, -1239, -1080, -867?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49059 + -129950685.\nAnswer: -129999744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.506 or 8\/43?\nAnswer: -0.506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 21, -5, -4.\nAnswer: -5, -4, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281405356562*t - 63*t**3 - 281405356562*t.\nAnswer: -63*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -363 (base 13) to base 7.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2 + 4*p**3 - 3 - 240*p**4 + 2*p**5 - 2 + 5 + 245*p**4.\nAnswer: p**2*(p + 1)**2*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1518852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114622?\nAnswer: 2, 223, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*q + 0*q + 0*q.\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12695?\nAnswer: 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 3*m - 128. Calculate the highest common divisor of 32 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -75991 - -151977\/2. Let v = -18 - -27. What is the nearest to v in 2\/5, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.703 + -0.297. What is the second biggest value in 1\/9, n, -3\/8, -0.4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363750 to the power of 1\/2, to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0\/p)**39*p**0*p*p*p*(p**1*p)\/p assuming p is positive.\nAnswer: p**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j. Let l(x) be the first derivative of -1047*x**2\/2 + 1000. Calculate c(l(i)).\nAnswer: -5235*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 49?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/22)\/((-2 - 380\/(-44)) + 352\/32)\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6*l - 5*x + 10 = 0, l + 3*x = 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.046 + 3.946. Let z = g + -0.1. Let q = z - 3.827. Round q to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.882 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 5. Suppose s + 2 = 5*h - 2*s, -6 = -5*h + 4*s. Give v(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 2560399*y - 27792061*y.\nAnswer: -25231662*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.05 + 12.05. Let i = -14 + q. Put 1\/4, -17, i in descending order.\nAnswer: 1\/4, i, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -18446, -18439, -18428, -18413, -18394?\n\"Answer: 2*h**2 + h - 18449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/8)\/((-7)\/4). Let t(m) = 299*m - 5082. Let y be t(17). What is the fourth biggest value in k, 0, -6, y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152241*k**4 - 121747*k wrt k?\nAnswer: 1826892*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -9. Let k = -180 + 1437\/8. Is n less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 5, 4.0961, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 3*c**2\/2 + 18*c + 10. Let j be p(-5). Let a(f) = -6*f**2 + 19*f**j - 43*f**3 + 26*f**3 + 3*f**2. Calculate a(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in -1, 1.21, -1\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 1 - 13*s**2 + 921*s + 13*s**3 - 918*s - 1. Let a(c) = 4*c**3 - 4*c**2 + c. Determine 7*a(d) - 2*q(d).\nAnswer: 2*d**3 - 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9478 and 234242?\nAnswer: 1639694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8 = -4*h - 36, h + 4*l + 7 = 0. Let d(b) = -b**3 - 8*b**2 - 8*b - 5. Let i be d(h). Suppose 3 + 5 = 4*z - i*y, 12 = -3*y. Is 3\/11 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330479766.\nAnswer: 2, 3, 29, 227, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*x = -453*x + 237*x + 507 + 277 for x.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 748 and (-340)\/((-9)\/(-16 - -34))?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28212 or -28206?\nAnswer: -28206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 3*v + 0*v)*(10 - 18*v**2 - 10)*(7 - 7 - 4*v**2).\nAnswer: -72*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1363 - -1556. List the prime factors of z.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*x + 3, 0 = p - 5*p - 4. Let f(l) = -l**3 + 6*l**2 + l - 8. Let i be f(6). Let j be (1 - 0)\/(i\/(-18)). Solve j + x = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 + -16. Let z = d + 0. Suppose -3*h + 12 = z*m, 3*h - 2*m = 7 + 5. Solve 2*s = h*s - 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2909, -2867, -2825?\nAnswer: -2783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*m**2 - 9*m**2 - 185 + 93 + 96 to the form b*m + w + j*m**2 and give j.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 88 - 1158\/13. Let d = n - -109\/65. Is 1 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 14639*b - 146379. Determine f(10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - c?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (579\/(-1158))\/(6\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, l: 2, p: 6}. Give prob of picking 2 l and 2 p.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -308842185.66701?\nAnswer: -308842185.26701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3 + 3647*j**2 - 17*j - 1077540 with respect to j.\nAnswer: 9*j**2 + 7294*j - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16796892?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and (368\/(-10) - 4)\/(3\/(-10)).\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 1. Let s be c(1). Suppose s = -6*y + 23 + 13. Let m be 26\/y + 8\/12. Calculate the greatest common divisor of 40 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -9*s - 5. Suppose s*i - 11 = 9. Solve -i*w = 4*c + 28, -2 = -4*c + 4*w + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvcvavcvvvcavacvvvv. What is prob of sequence vcav?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*w + 1370 = 0, 4*r + r = 2*w + 6811. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of 3*j**2 - 15*j + 40. Let p be c(3). What is the greatest common divisor of p and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - 75\/(-20). Put -2, v, 2\/5, 1\/4 in descending order.\nAnswer: v, 2\/5, 1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14095413 rounded to 2 decimal places?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-2 - 2\/(-1))\/(-2). Solve d*i + 4 = -6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35436 is divided by 261?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4076 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 30 = -4*p + 9*p, 3*p + 10 = -4*y. Solve -2*f = p*f - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 3*g)*(-4 + 3 + 0) + 3*g + 0*g - 2*g + (-2*g + 4 - 4)*(-3 - 2 + 6) + 11*g + 13 - 13.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.3176 and -0.2959.\nAnswer: 0.0217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -37*w + 141. Let b(u) = -44*u + 149. Determine 5*b(q) - 6*v(q).\nAnswer: 2*q - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -336 divided by -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:20 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/5)\/(j\/(j\/(((j*j**(-21))\/j)\/j*j))) assuming j is positive.\nAnswer: j**(104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((2 - 0)\/(-4))\/(-2). Let d = -12.7 + 15.7. Suppose 4*i - 4*x - 8 = 0, 6 = -i - 3*x - 0*x. Which is the nearest to f? (a) d (b) i (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.86097 to 2 dps.\nAnswer: 8.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -178, -3, 1.67 in decreasing order.\nAnswer: 1.67, -3, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/5))**(2\/7)\/((z*z*z**(-7)\/z)\/z**4))\/((z*z**(-2\/5)*z)\/(z**(2\/9)*z*z)*z**5\/(z\/((z**2\/z)\/z))) assuming z is positive.\nAnswer: z**(428\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 - 4*y + 4. Let p be h(3). Suppose -5*b + 18 = 3*g - 34, -2*b = -3*g + 17. Suppose g = -o + 4*o. Are o and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4986.1 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 43*g**2. Let i(r) = 879*r**2. Calculate n(i(d)).\nAnswer: 33223563*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25234 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + -3 + -3 + sqrt(1584) + -5 + -4)*6)**2.\nAnswer: -15552*sqrt(11) + 68688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 29. What is y(14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 652 + -463 - 198 - (-83 + 0 + -1).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.276497 days to weeks.\nAnswer: 0.468071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(396) + 5 - sqrt(396)) + -4 + sqrt(11)*2 + -1 + 3)**2.\nAnswer: 48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 7. Suppose 61 = -4*k + 5*u, -5*u + 16 = -2*k + 3*k. List the prime factors of m(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 + 5275 = -307*d for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = -8. Let d be (-2 + 6)\/((-4)\/(-2)). What is l in -3*l - 4*l**d + w + 2*l + 3*l**2 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 5. Let r be i(4). Is 11834\/r*(15\/10 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 85*x - 5. Calculate d(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 0.4.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26624 and 208.\nAnswer: 26624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 7. Let n be o(-6). Let t(y) = -y + 18. Let z be (135\/(-10))\/(3\/(-4)). Let u be t(z). Which is greater: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*-0.040631\nAnswer: -0.0243786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*s**3 - s**3 + 2*s**3)*(-5 - 4 + 4) - s**2 + s**2 - 3*s**3)*(0*s + 2*s - s)*(4 + 1 - 3) to the form v*s**4 + x*s**3 + a*s + r + d*s**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178698?\nAnswer: 2, 3, 13, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45974 and 105410.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 3) to base 9\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.22 - -0.22. Which is the closest to 1? (a) w (b) -1\/6 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-6) + -1)\/((-28)\/(-21)). Factor -1\/2*j**2 + p*j**3 + 0*j + 0 - 1\/2*j**5 + 1\/2*j**4.\nAnswer: -j**2*(j - 1)**2*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 + -12 + -195)*14\/(-2). Calculate the greatest common factor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8233787?\nAnswer: 8233787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03629773 to 5 decimal places.\nAnswer: -0.0363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 131*u - 362. Let f(v) = 285*v - 722. Determine -6*f(g) + 13*s(g).\nAnswer: -7*g - 374","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v + 9. Let j(s) = 1. Let o(a) = 4*j(a) - w(a). Does 3 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/5)\/(18*(-26)\/(-2730))?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2083 - 2087.052. Let o = -0.052 - r. Put o, -4\/9, 5 in decreasing order.\nAnswer: 5, o, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-4) - 0)*2. Suppose -q*m = 35 - 17. Let j(h) = 6*h**2 + 3*h. Let d(x) = 2*x**2 + x. What is m*j(v) + 17*d(v)?\nAnswer: -2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 1044*t - 100192. Determine a(-396).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.31 - -3.01. Which is the closest to p? (a) -4\/9 (b) -4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1820.7 + -39755071.\nAnswer: -39753250.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1116, 2296, 3476, 4656?\nAnswer: 5836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-78) + (-4)\/26. Let d(o) = o**3 - 2*o**2 + 4*o. Let s be d(10). Suppose -6*u = -c*u - s. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291 + 90.11?\nAnswer: 2381.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 394 + -394. Solve 7*p - 28 + 7 = l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 544 and 18207?\nAnswer: 582624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + y + 96. Let m = 60817\/2 + -1401007\/46. Let d = m - y. Is d bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 = 3*v - 0*v - 5*i, 0 = 3*v - i - 201. Let j be 96 + ((-1)\/1 - -2). Let z = j - v. What is the highest common factor of z and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -58, -148, -274, -436?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 + 0.1. Let q = -1 + 0.6. Let k = q + l. Put 4, 3, k in increasing order.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 + 2*k**3 + (-k**2 + 0*k + 0*k)*(-3*k + 9*k + 3*k) + 2*k**3 + 3 - 3 - k**3 + 3*k**3 - k**3 to the form g*k**3 + j*k + l + w*k**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352265*c**2 - 7749780*c - 1100 = 0 for c.\nAnswer: -10\/70453, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7652 + 21488. Let l be 30\/(-285) - u\/(-38). Calculate the greatest common factor of 104 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-6)\/510*5). Let x be 2\/(-8) - (-34)\/8. Calculate the remainder when (-7)\/x*(-68)\/y is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 0.5, -2, 47?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1431455, -1431453, -1431451?\n\"Answer: 2*i - 1431457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -84.99 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 456682, 1826723, 4110124, 7306885, 11417006?\nAnswer: 16440487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 24 = z, -4*f - 2*z = -5*z - 17. Let t(i) = -5*i + 41. Let d be t(f). Factor -7*c - 51*c**2 + 0*c + d - c + 52*c**2.\nAnswer: (c - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 2\/3, 1, 1.878, -7\/8?\nAnswer: 1.878","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854 (base 9) in base 12?\nAnswer: 9aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/57)*o**(-3\/8) assuming o is positive.\nAnswer: o**(-155\/456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 + 19*d - 35. Let a be t(-21). Solve 0 = -2*n - 5*h - 25, -4*n - 25 = -2*h + a*h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5) + 3123\/45. Calculate the greatest common divisor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -2328612.4.\nAnswer: -2328612.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 11, a: 3, x: 1}. What is prob of sequence rax?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8987361, -8987365, -8987385, -8987427, -8987497, -8987601, -8987745, -8987935?\n\"Answer: -g**3 - 2*g**2 + 9*g - 8987367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29851130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(880) - sqrt(880)*-1)*-3 - (-1*sqrt(880) - sqrt(880))*1)\/(4*1*-3*sqrt(704)))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -97 + -37 + 61 + -10?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -213116 (base 14) to base 4\nAnswer: -10102003100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2775687 by 25941.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 79031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5560766.\nAnswer: 2, 167, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 246 (b) -42 (c) -2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 591 by -3.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 less than -2821800766?\nAnswer: -2821800723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = -3*s - 4*k, 2*k - 60 = 4*s - 2*k. Let o = s - -33. What is the units digit of (-30)\/9*o\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - f**2 - 4*f - 1. Let a(q) = 18*q**3 + 3*q**2 - 15*q - 1870. Let w(t) = -a(t) - 3*p(t). Find the first derivative of w(b) wrt b.\nAnswer: -45*b**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(10\/13))**(-2\/11)\/((t\/(t\/t**5*t)*t)\/((t\/t**(-1\/5))\/t)) assuming t is positive.\nAnswer: t**(-3532\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*a - 8 + 1, 3*a = k + 2. Let u be (-3 + 6 + -11)*(-39)\/78. Sort u, 0, k, -10.\nAnswer: -10, k, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 248 and 5.\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4 - 100*u**3 + 460*u**2 - 560*u.\nAnswer: 5*u*(u - 14)*(u - 4)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 4*n**3 - 6*n**2 - 3*n**3 + 0*n**3 + 7. Suppose -g + 30 = 4*g. Let s be b(g). Put -1, s, -2 in increasing order.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -1)\/((-2)\/5). Suppose 2*b - 4*m - c - 7 = 0, 0 = -5*m - 10. Suppose 4*r = k - 35, 5*k - 3*r = -b*r + 80. Does 8 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 8*t**2 - 10*t + 9. Suppose -6*g + 5*g = -4. Suppose -g*z + 31 = -5. Let j be y(z). Solve j*a + 3 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 148 + 4*t + 0*t - 150. Determine g(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -159*b**2 + 330*b**2 - 15*b**3 + 482 - 157*b**2 + 4*b - 4*b wrt b?\nAnswer: -45*b**2 + 28*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5\/15 - 14*f**4\/5 + 2*f**3\/3 + 1398*f**2\/5 - 1404*f = 0.\nAnswer: -10, 0, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v - 9390 + 9390.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 915394.6 kilometers to millimeters.\nAnswer: 915394600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*y + 28*y - 24*y + (0 + 0 + 2)*(-2*y + 2*y - 2*y) + 0*y + 0*y - y + (-y + y + y)*(-4 + 2 + 3) + (2 - 3 + 3)*(-3*y - 2*y + 3*y).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. What is the third derivative of 0*l**g - l**2 + 4*l**4 - 2*l**2 wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f. Let y = -8 - -10. Let q(z) = -y*z**2 - 5*z + 4*z**2 + 5*z. What is q(o(t))?\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + 6. Let y(x) = x - 1. Let h(p) = -2*p. Let o(n) = -h(n) - 4*y(n). Let s(d) = 5*b(d) - 8*o(d). Let v(a) = -a + 2. Determine -5*s(u) - 4*v(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 345\/8 + -3061\/72. Let m = r + -7\/9. Which is the third biggest value? (a) m (b) 0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + r**2 + 24*r + 2. Let k be s(0). Let h = -4 - -6. Let p(w) = 2 - w**k - h + 2 - 4*w - 3. What is p(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255*u = 194*u + 122. Solve 0 = u*b + l - 6, -265*b + 269*b = -l + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*((2 + (sqrt(176)*2)**2)*-5 + 2) + 1.\nAnswer: 10588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 17 = 72. Let k(z) = 5*z**2 + 49*z - 9. Calculate the remainder when k(y) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.51 - 19.49. Let q = f - -14. Which is the smallest value? (a) 4 (b) q (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11584 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 179451\/4239 - (8\/3)\/(-4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/7 + ((-94)\/14 - -7). Suppose 107 = -f*c + 109. Let m(w) = 2*w**3 + w**2 + w + 1. Let y be m(-1). Sort c, -3, y in ascending order.\nAnswer: -3, y, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 100001?\nAnswer: 100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 1211 = -1781. Suppose 4*a - 6*a = -4*g + 240, 8 = 4*a. What is the remainder when v is divided by g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 5*x**4\/24 + 6*x**2 + x - 35. Let r(f) = 318*f**2. What is h(r(q))?\nAnswer: 1590*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 6*b + 252 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 5 = 2*a. Let x = a + 4. Suppose -x*l - 4 = -5*l. What is the smallest common multiple of 10 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-246)\/(-12) + -19)*(-4)\/(-10). Which is the fourth smallest value? (a) 5\/14 (b) -0.5 (c) f (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16512247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13351426 is divided by 14901.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 3, x: 4, f: 3, u: 4, y: 1}. Give prob of picking 1 x, 2 r, and 1 f.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 119164270 by -335674.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41186 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -511396654\/11 and -46490604 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:19 PM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40245 is divided by 11784.\nAnswer: 4893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37484?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**2\/9 + 44306*q\/9 + 20890844\/9 = 0.\nAnswer: -21671, -482","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 631481 + 5*f - 631582 + f. Determine v(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300 - 333231120?\nAnswer: -333300020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 217020550931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j - 13. Let k be 1 + (4\/(-22) - 78\/(-66)). Suppose d + 48 = -3*c - 3*d, 0 = k*c - 2*d + 18. Let o be q(c). Which is bigger: -24 or o?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + 1 + -13 + -37 + 109\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*y - 292 = 0, -3*h - 4*y + 219 = -3*y. Find the second derivative of 67*u**2 - u + 13*u - 208*u**2 - h*u**2 + 7*u wrt u.\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 7*s**2 - 3*s - 9. What is g(8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/24 and -79\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5340512 and 1063?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 b, and 1 f when four letters picked without replacement from fbbubzz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1) + -1 - -2. Solve w*s = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(96\/9) + (-26)\/(-8). What is the common denominator of 59\/9 and (-1)\/s - 938\/(-224)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i\/(i\/(i\/i**(-3\/5))))*i*i**(3\/5)\/i)**(-13\/2)\/((i\/(i*i\/i**(9\/2)))\/(i**(2\/5)*i*i))**(-2\/17) assuming i is positive.\nAnswer: i**(1127\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 14*u + 285.\nAnswer: -(u - 15)*(u + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -239*l. Let w(k) = -2*k**2 - 38 + 27 + 11. Calculate w(c(n)).\nAnswer: -114242*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 54. Let b = 27 - v. Suppose b = -f + g + 11, 0*g + 38 = 4*f - g. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -5 + -2 + 22 + -12 + 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/102 - (-4)\/8.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 218*v**3 - 8*v + 11*v.\nAnswer: 218*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -353 + 10*x**2 + 353 as u + m*x**2 + p*x and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/30)\/(14\/(-10)). Let w be (4\/36*-6)\/((-10)\/(-6)). What is the smallest value in l, 2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6992\/4370)\/(24\/(-270))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 292303997375 and 4.\nAnswer: 292303997379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2817 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3990 - -3969.47. Round t to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 9:11 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-277)\/4 - (-284340)\/4062. Find f such that 3*f + b*f**3 + 0 + 3*f**2 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001637 rounded to 4 dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97924 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14581 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*a = -6, 5*b - 10*b + 53 = -2*a. What is the remainder when 228 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 7*r + 3. Let j be g(-6). Let d be -2 + 5\/(15\/12). Suppose -36 = d*m - 3*m. What is the highest common factor of m and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1327551 years to decades.\nAnswer: 0.01327551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = -13 + 49 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34418, 68329, 102240, 136145, 170038, 203913?\nAnswer: 237764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4317 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.79 - 0.09. Let g = d - 1. Let v = -5.2 - -5. Which is the closest to -1\/2? (a) -0.1 (b) g (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-179133)\/(-567) + (-92)\/1242. Which is smaller: 315 or h?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i = 26. Let r = -11 + i. Suppose -192 + 22 = -r*u. Is 18 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -w. Factor 21*d**3 + 15*d - 10*d**2 + 0 - w*d**4 - 17*d**2 - 5 + 2.\nAnswer: -3*(d - 1)**3*(2*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-2*n + 3*n + n)*(-241 + 115 + 118) as d*n + h and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**6\/90 + f**5\/9 + f**4\/6 - 2*f**3 - 10*f**2. Factor o(w).\nAnswer: 4*(w - 1)*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1921*r + 1928*r - 91 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 25 - 17, -2*f - 19988 = -3*u. Suppose -18*k = -10*k - u. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2009407 - 321296. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u**5)*(47 - 18 + 60).\nAnswer: -89*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498190 is divided by 2017.\nAnswer: 2008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -21. Solve 3*d + 6 = 0, -2*d - 2*d - x = -4*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) 0 (c) -4 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6403, 12800, 19197, 25594?\nAnswer: 31991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 7*w**2 - 12*w - 3. Let y be l(-5). Solve 3*r + y = -5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342025 divided by -10?\nAnswer: -68405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -1\/2 (c) 2\/3 (d) -12 (e) 4\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 932917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3512553066?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(243) + sqrt(243)*2 + 1)*-6 - (4*(2 + sqrt(243) + 2) + 1))**2.\nAnswer: 4356*sqrt(3) + 117733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565851765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -133967404603?\nAnswer: 133967404595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*(-2*sqrt(192) - sqrt(192)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 31 + 39 = 0, 5*s - h + 14 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24405.44 millilitres in litres?\nAnswer: 24.40544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-1 + -25 + (14 - -13 - (0 + 20)))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-4 - 48\/(-9)). Suppose -2 = -b + h + 16, -3*h + 42 = s*b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*t - 92. Suppose -3*o + t = 2. Let q = o + -4. Solve q*f - 6 = 2*g, -7*f + 2*f - 15 = 5*g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 8. Let c = 9 + -11. Suppose 43 = 9*y - 6*y + 2*h, h = y - 16. What is the third biggest value in y, k, 4, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 440 and 10956880.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994659.7um to centimeters.\nAnswer: 99.46597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473818?\nAnswer: 2, 236909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*2974346.\nAnswer: 3569215.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3127 + 37523\/12. Which is the fourth smallest value? (a) 0 (b) -176 (c) 1 (d) 2\/11 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -250*g**2*s - 14989*g**2 - g*s - 23*g + 12468*s with respect to s.\nAnswer: -250*g**2 - g + 12468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -3. Let p = 0 + -2. Let o = -2 + p. Which is the smallest value? (a) -2\/9 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4 + 4 - u. Let k(w) = -3632*w**2 + 1817*w**2 + 1812*w**2. Determine f(k(b)).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3e (base 15) to base 7.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 8*x**2 + 3*x + 22. What is a(7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 701 - 723. What is the third smallest value in 0.5, j, -3.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399526 at least as big as 399541?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 61519608097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - (-163)\/132 - (-12)\/16. Let g be 7\/((-63)\/6) - (-221)\/3. Suppose -74*c = -g*c. Is t less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/2525 and 4\/10 - (2404\/(-1818))\/((-370)\/111).\nAnswer: 7575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 59*l - 78*l + 13*l - 38. Let v(d) = d. Determine h(v(f)).\nAnswer: -6*f - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -16. Let a(p) = p**3 - 5*p**2 - 7*p + 3. Let d be a(z). List the prime factors of (d\/(-2) + -2)*-20.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.058. Let p = l - 0.007. Let v = p + -4.421. Round v to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d + 29. Let f be l(-8). Suppose f*m - 1611 = -4*k, -k + 1 = -2*k. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-27)\/(351\/26))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1519*t + 854*t - 898*t + 3126. Let f(z) = z - 7. Let q be f(7). Factor -2\/7*d**4 + 0*d + q*d**3 + 0*d**t + 0.\nAnswer: -2*d**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-9) + 8\/(-45). Let x = -2865 + 2863. What is the closest to -2 in a, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 2*l + 4*l)*(335*l - 1042*l - 10392*l**2 + 340*l + 367*l).\nAnswer: -31176*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(16\/4)*(-150)\/80.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -7) + -13 + (0 - -14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/9 - 176\/(-24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in -1, 31, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 20\/65*5\/(-50)*-13\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38, 94, 154, 212, 262, 298, 314?\n\"Answer: -r**3 + 8*r**2 + 39*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*z - 2135 + 2837 = 187*z - 6138 for z.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 107 + -56. Let q = -51.00347 + w. What is q rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2. Let a(t) = 172*t**2 + 28*t. Let u(p) = -19*p**2 - 3*p. Suppose 3 = -0*b - b. Let c(i) = b*a(i) - 28*u(i). What is c(l(z))?\nAnswer: 64*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -31361023 (base 7) to base 5\nAnswer: -1134402330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k**3 + k**2 + 3*k**3 - 2*k - 2*k**3. Let i be b(-2). Are -2\/13 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 1.1. Let y = 284052 - 284049. Let s = 0.1 - 0.3. What is the closest to p in -1\/7, s, y?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:17 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -942*u + 209. Is v(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20842483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 - 99109*b + 2277916. What is j(23)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -14, 3, 4\/7, 44.7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43392848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*o = -4*g - 20, 0 = -2*g - 10. Suppose 4*n + 4759985 = 3*s, o*n + 3*n - 5*s = -3569975. Round n to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123111033 (base 4) in base 7?\nAnswer: -644250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.57437 years in millennia?\nAnswer: 0.06857437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1, g - 4*y - 8804 = -g. Let f = 52775\/12 - g. Let c = 521123\/72 + -7238. Calculate the common denominator of c and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 43.322146 and 18.2.\nAnswer: 61.522146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -11*b. Let l(v) = -3*v**2 + 7*v. Let t(w) = 0*w**2 - 2*w**2 + 25*w - 13*w - 7*w. Let c(o) = 5*l(o) - 7*t(o). What is c(q(i))?\nAnswer: -121*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, n: 2, a: 5}. Give prob of sequence ss.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, h: 2, p: 4, v: 4, w: 3}. What is prob of picking 1 j, 1 h, and 1 v?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10569.\nAnswer: 3, 13, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -69, 12188 in decreasing order.\nAnswer: 12188, -0.3, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -27, 3\/19?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from {q: 3, m: 1, d: 1, y: 5}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052 - -207638245470.51?\nAnswer: 207638245470.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 2*a - 5*k + 76 = 30, -54 = 3*a + 3*k for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d + 24*d - 32*d to l + i*d and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 657 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24004240 - 0?\nAnswer: -24004240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.7 - -6.8. Let l = 53 - 50.1. Let u = x + l. What is the closest to -1\/3 in u, -3, -18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -27.5. Let y = h - 27. Is y less than -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -12082*o + 1026970. What is h(85)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8 + (9 - 0) + -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 - 2*z**2 + 2*z**2 + (-1 + 1 - 5*z**2)*(z + 15*z - 3*z) - 2*z**3 - 2*z**3 + z**3 to q*z**2 + d + j*z**3 + g*z and give j.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:50 PM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (80*(-54)\/(-14040))\/(-34)\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 46.537*-24\nAnswer: -1116.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 196\/3*l**2 + 9604\/3*l + 1\/3*l**3.\nAnswer: l*(l - 98)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 10 = -p, 3*j - 10*p + 15*p + 10 = 0. Suppose -375 + 105 = -j*d. Calculate the lowest common multiple of 2 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, -163\/5, 0.1 in decreasing order.\nAnswer: 4, 0.1, -163\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w + 4*b, 0*w - 4*b = 4*w - 12. Solve -w*d + 7*d = 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.44 * -3\nAnswer: -10.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 (base 15) in base 7?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((6\/(-16)*82)\/(37\/(-74)))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-190)\/(-8))\/(2\/72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5)**(2\/39))**(-1\/4)*(l\/l**(-2\/5))**(49\/3)\/((l\/l**(-2\/5)*l)\/l*l**4) assuming l is positive.\nAnswer: l**(6787\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*b - 3*w, 8 = 5*w + 18. Let o = 2\/7153 - -2486\/7153. Is b less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + a + 0*a)*((-2*a + 0 + 0)*(-3*a + a + 3*a)*(0*a - 5*a + 3*a) - a**3 - 125 + 125 - 3*a).\nAnswer: 3*a**4 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928698254.\nAnswer: 2, 11, 173, 244009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -4. Suppose -4*r + 0 = -20. Suppose r*h - 15 = -5*q, 3*q + 4 = 4*h - q. What is the greatest common factor of h and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkxnsoz. What is prob of picking 1 k, 1 s, and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21713 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(88)*-3)\/(sqrt(8) - sqrt(640)\/sqrt(5)) + (-1*sqrt(1584) - (0 + sqrt(11)*-3)) + 5.\nAnswer: -7*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/290)\/((-4)\/16)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13542 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 5*q - q + (0 + 1 - 3)*(-q + 2*q + 2*q) + 0*q - 4*q + 3*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/2 - (-14 - (-50 + 8)). Are -22 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/30982 and 87\/234578?\nAnswer: 1642046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115252 = -431*f - 91978 for f.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1305 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4686 + 9317. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 184*z + 1107. Let q be x(-6). Let n(f) be the second derivative of 0*f**2 - 7\/12*f**4 + 0 + 0*f**q - 16*f. Let a(k) = 3*k. Determine n(a(u)).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -309780*h - 8364066. Calculate z(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.3 plus 18.6520861?\nAnswer: 52.9520861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 1054 != 1055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (112\/20)\/(5274\/92295)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 2*q + 2, -5*s + 10*s = -5*q - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 77 + 17 = 0. Let p = -6 - h. Suppose -246*o - 123 = -265*o - 9. Calculate the greatest common divisor of p and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010110000010 + 11001100111?\nAnswer: 110101111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 z when four letters picked without replacement from {x: 6, z: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/36 and 151\/8424.\nAnswer: 8424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-484)\/(-55))\/(-5*10\/(-114375)) + -4 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 3*b - b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 - 4658*s**2 + 31171816*s\/9.\nAnswer: 2*s*(s - 20189)*(s - 772)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28911 is divided by 2223?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -331648 (base 12) in base 4?\nAnswer: -3012011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -91a1749 - -5?\nAnswer: -91a1744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35577917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 4. Let s be y(-6). Suppose 2*c + 12 = -4*c. Let b be -3 + (c - s\/1). Solve 0 = b*h + 19 - 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - 13 - ((-5 - (-5 - -5)) + 5 + 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 0.2 (c) -0.1892 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 4. Determine l(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8017, -8223, -8429?\nAnswer: -8635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*a*w**6 - 75*a*w**3 - 2*a*w - w**3 + 54*w**2 - 6 wrt w?\nAnswer: 1320*a*w**3 - 450*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15735 in -8, 5, 0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 289 and 2992?\nAnswer: 50864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -15. Suppose b = -4*h - h + 530. Suppose -4*l + h = -42. What are the prime factors of l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -1, -172, -1130?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.06098cm in millimeters?\nAnswer: 850.6098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 6:58 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 - -163. Let q be ((-63)\/(-36))\/(2\/96). Let z = q + k. Is 21 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26650091249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 34 - -8 - -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - 5*(sqrt(504) - (sqrt(504) + (sqrt(504) + 2*sqrt(504) - sqrt(504)))))*-4)\/(sqrt(63)\/(sqrt(9) - -1*sqrt(81))*-4).\nAnswer: 264*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -335262?\nAnswer: 335250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 42740896 to the power of 1\/3, to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + m**3 + 69813*m - 69813*m + 3*m**3.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/9 - 7*c**4\/9 + 28*c**3\/9 - 20*c**2\/9 = 0?\nAnswer: -10, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2 - 9187081*b = 0.\nAnswer: -9187081, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001001110001 + -101011101110000001?\nAnswer: -101100110111110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3415*l = -427*l + 53784 for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -108 + 216. Let j = 103 - r. Which is the nearest to 0? (a) j (b) -0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142294, 545, 1\/4, 0.1.\nAnswer: 0.1, 1\/4, 545, 142294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*(-1 + sqrt(1700)) + -3 - (sqrt(1700) - (-1 + (sqrt(1700) - (0 + sqrt(1700)))) - ((sqrt(1700) - 1*sqrt(1700)) + 0)))**2.\nAnswer: -280*sqrt(17) + 83299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 9:14 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/1 + 1*(2 + 1). Solve 4*w = -z, -2*b - 10 = 5*w + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -758\/7 (b) -0.2 (c) -0.0398 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*d = 30, 5*o + d + 25 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99)\/sqrt(9) + 0)*-1.\nAnswer: -sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y - 108. Determine u(-27).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43825, -43826, -43827, -43828, -43829?\nAnswer: -43830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 321149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + f**5 - f**5 + (-f - 3*f + 3*f)*(-21892*f**4 - 27812*f**4 + 58102*f**4).\nAnswer: -8397*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*-1)\/((-58)\/(-87)))\/(((-54)\/75)\/(-6)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*i + 60 = -23*i - 5*a, 0 = 2*a + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -188 + 42. Let d = -145.8 - t. Is d at least as big as -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19258049.\nAnswer: 1031, 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11597, -11585, -11559, -11513, -11441, -11337?\nAnswer: -11195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -291 - -289. Which is bigger: k or 0.33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*i**4 + 2769*i**2*j + 124764*j wrt i?\nAnswer: 56*i**3 + 5538*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*z = 6*z + 7, 0 = 2*t + 2*z - 4. Let a(g) = -g + g**2 + 0 + 2 - 2 + t. Let n be a(0). Solve 1 = 2*b + l, -5*b - n*l = -0*l - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-6) - -18)*1\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -51 + (-71 - -136) + (-5 + 2 - 120) - 14\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 66732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 102214, 204433, 306652, 408871, 511090?\n\"Answer: 102219*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2201 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(2\/147)\/(j**0)**(-33) assuming j is positive.\nAnswer: j**(-2\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204380902565*h**2 + 19*h - 2*h**3 + 204380902565*h**2.\nAnswer: -2*h**3 + 19*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s + 108*s**2 - 60*s**2 - 24*s**2)*(5*s**2 - 7*s**2 - 2*s**2) to the form y*s + x*s**3 + a + l*s**2 + k*s**4 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 11 = 5*q, -2*j = -4*q + 2*q + 2. Is 1 + 2*(q - -12) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3360)\/378)\/(-40) + ((-25)\/18 - -1)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) -4 (b) -461 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 114, 965, 3288, 7821, 15302, 26469, 42060, 62813?\n\"Answer: 123*p**3 - 2*p**2 - 4*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -155, 36, 4, 288 in increasing order.\nAnswer: -155, 4, 36, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**3 + 27*b**2 - 32*b + 73. What is f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 5*h, -4*h - 5*f + 11 = 1. Let i(v) = v - 2 - 8*v - 3*v - v**2 + h*v**2. What are the prime factors of i(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 31\/32*p**4 - 135*p - 9\/4*p**2 - 3\/40*p**5 + 0 - 5\/2*p**3. Factor i(k).\nAnswer: -3*(k - 6)*(k - 2)*(4*k + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(35)\/(sqrt(14)\/sqrt(2)) + -3*sqrt(125) + (sqrt(125) + -3 + 5 + (-3*(sqrt(125) + -3 - sqrt(125)) - sqrt(125)))**2.\nAnswer: -14*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 4*b + 3*b + (4*b + 0*b - 3*b)*(-2 + 1 + 2 + (-1 + 3 + 7)*(0 - 1 - 1)) to the form j + r*b and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1a2 (base 11) to base 4\nAnswer: 3221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2141.76 from -0.5.\nAnswer: 2141.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1, 21*y - 7*i - 5*i + 86 = -8*i + 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spssssssps. Give prob of sequence pp.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, z: 9, s: 1, q: 4, h: 3}. What is prob of picking 1 q and 1 s?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 25427735 plus -4394.4?\nAnswer: 25423340.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 + 4*t + 12. Let k be m(5). Let i(j) = j**3 - 7*j**2 + 54*j - 18. Does 10 divide i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2177.41 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4144*v - 753*v = -30558 + 84814 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6175956 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 32, 37, 42?\n\"Answer: 5*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 47461 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**4\/6 - 8263*g**3\/3 + 148807*g**2\/6 - 66140*g\/3 = 0?\nAnswer: -16535, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1656\/5520 + (-98032006)\/20. Round x to the nearest ten thousand.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49)\/(-2)*2*1. Suppose 4*x + y = 165. Suppose 2*j = -3*n + 32, 5*j - 24 = -4*n + 42. Calculate the remainder when x is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -26. Suppose 0 = 3*p - 40 + a. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4644, 5, 3, 1 in ascending order.\nAnswer: 1, 3, 5, 4644","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -154*b - 38. Let g be d(-1). Calculate the highest common factor of 87 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 2, 3 in increasing order.\nAnswer: -15, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0*t + 0 + 2*t + t + 1 + t**2. Give a(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -4, 2, 0, -5, 10968.\nAnswer: -5, -4, 0, 1, 2, 3, 10968","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -2001221?\nAnswer: 2001211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.49 (b) -1\/16 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let t(x) = 11*x**2 - 2*x. Let p(n) = -55*n**2 + 11*n. Let l(h) = -6*p(h) - 33*t(h). Determine b(l(a)).\nAnswer: 2178*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 8*g**2 - g + 2. Let p = -47 - -55. Give k(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 27*o**2. Let z(w) = 1683 + 48*w - 820 - 863. Calculate d(z(f)).\nAnswer: 62208*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6081912252 by 6.\nAnswer: -1013652042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 + 144 = -20583*x + 20576*x for x.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-18)\/(-15) - 32\/((-7040)\/(-2134)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 199?\nAnswer: 19c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5425 divided by -1.\nAnswer: -5425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-682)\/(-31) - (13 + 1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/14 - 11*v**6\/3 + 455*v**3\/2 + 453*v. What is the second derivative of g(i) wrt i?\nAnswer: -60*i**3 - 1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from bbbslbbseeblsbbss.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.056 * 1272\nAnswer: -71.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Suppose -3*p = p - 24. Let s be 8\/(-12)*(-27)\/p. Solve 2*x + s = 1, -3*x = -k*q + 3 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 0, 4 = 4*o - 0*o - 4*y. What is the smallest common multiple of 1 and -2 + 13 - (2 - o)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/6 + (-1)\/3. Let p(s) = -2*s**2 + s - 24. Let t be p(0). Let n = t + 30. Solve w*f = n + 10 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/150)\/(2\/(-6))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 - 9. Suppose -r + 5 + 0 = 0. Suppose r*k - a = -1. What is the highest common factor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 - -2.3. Let h = -1 + m. Let i be 14\/(-6) + (5 - 2). What is the closest to i in 2, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 4*r - 25, -2*i - 29 = r - 39 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 354969615 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15\/8, 0.05, -0.05, 3\/5.\nAnswer: -15\/8, -0.05, 0.05, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -44368211803085.\nAnswer: -44368211803085.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**4\/5 + 67964*y**3\/15 - 8325746*y**2\/5 - 41772224*y\/15 - 5575672\/5 = 0.\nAnswer: -1, -2\/3, 382, 10947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 14*c = -504. Calculate the highest common divisor of 9 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2744 or 1.65?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 h when three letters picked without replacement from {h: 1, g: 2, o: 1, i: 1, w: 1, v: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142.796 + 143. Let n = i - -0.796. Let f = -93 - -40. Which is the second smallest value? (a) n (b) 0.3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 232 and 379?\nAnswer: 87928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -55 (c) -2 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdqsqgqugsqdqqguqgd. What is prob of sequence gdqg?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*q = 442506, -3*y - 3*q + 423948 + 18558 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477197525 to the power of 1\/2, to the nearest integer?\nAnswer: 21845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-2812)\/(-3774))\/(-38))\/((-1)\/(-21)*(-63)\/(-54))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35098190 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 - 14. Let r be n\/(-10) + 38\/10. Factor 1\/2*h + 7\/4*h**4 + 0 - 1\/2*h**r - 7\/4*h**2.\nAnswer: h*(h - 1)*(h + 1)*(7*h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + sqrt(405)*-1 - sqrt(405)).\nAnswer: -18*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 + 2*s + 4. Let h be d(-5). Is (-2)\/(-3)*(-477)\/h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295*s = 3*g + 298*s - 68253, -g + s + 22767 = 0. What is the ten thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67269 (base 10) to base 4\nAnswer: 100123011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -260 less than or equal to 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*g = -114*g - 6 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5475, -11280, -17085?\nAnswer: -22890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((608\/144)\/38)\/((-10336)\/672 - 2\/7)?\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 + 15. Let q be h(0). Let o be (0\/(q\/(-5)*1))\/1. Solve 25 = -5*t - o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w - 832681 = -275166. Suppose -14*p + w = -9*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 140, 289, 440, 593, 748, 905?\n\"Answer: p**2 + 146*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1043 + -1046. Sort -5, j, 4, 7, 3 in increasing order.\nAnswer: -5, j, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -149, -631, -1443, -2591, -4081, -5919, -8111?\n\"Answer: -m**3 - 159*m**2 + 2*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 7 = 3*h, -3413*q = -3442*q + 4*h - 141 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/3))\/(((l**(-6\/5)*l)\/l)\/l*l))**(-44) assuming l is positive.\nAnswer: l**(-1012\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-80)*(-10)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i - 2. What is f(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59312.31 millennia to years.\nAnswer: 59312310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/1 + 54\/(-6). Suppose -4*i + 534 + 726 = 4*f, -4*i = u*f - 940. Calculate the remainder when f is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*o + 5*o. Suppose -m - o = 8. Let p = -7 - m. Solve -3*n + u + 0*u - 11 = 0, -9 = p*n - 3*u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 17 = -c, -c = 3*u - 14 - 4. Let w = 611 - 397. Calculate the remainder when w\/14 - (-8)\/(-28) is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 14\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -25.0887516 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 95, -72048, 14 in ascending order.\nAnswer: -72048, -1, 14, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 11 = 5*k, -5*q + 4*k - 15 = 2. Let b = 0 - q. Differentiate -b - 5*z**2 + 0*z**2 + 4*z**2 with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 70824, -5, 0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p + 8. Suppose -3*r + a + 5 = 24, 15 = r + 5*a. Let b be -1 - (-8 - -2*1). Sort p, r, b in ascending order.\nAnswer: r, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501215 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 q when four letters picked without replacement from {n: 1, q: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 16. Solve c + 2*a + 10 = 0, -v - 24 = c + 5*a for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -5. Let u(i) = -20*i + 27. Let c(l) = -4*l + 5. Let q(w) = 11*c(w) - 2*u(w). Let z(a) = 2*a - 6*a - 3*a + 1 + 4*a. Determine x*z(r) - 2*q(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281998519 a multiple of 1929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 plus 33.42?\nAnswer: 33.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8, -34, -58, -80, -100?\n\"Answer: k**2 - 29*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -27\/37054 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 161 - 1b43?\nAnswer: -19b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -10*m - 66, -3*m - 15 = 6969*f - 6972*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 155\nAnswer: -11\/155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(1\/6)*b*b*b)\/(b*b\/(b**0*b)*b))**(2\/171)*(b**(-2\/3)\/b*b**3)\/(((b\/(b**(-4)\/b))\/b*b*b)\/b**(1\/2)) assuming b is positive.\nAnswer: b**(-5251\/1026)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -58 - (-3 + (3 - 12))\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 137 - 121. Let o = 6 + -2. Suppose -u - 15 = -2*r - 2*u, -r = -o*u + 15. Solve 4*i + b = 4*v - 0*i, v = -r*i + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1431356 and 442.\nAnswer: 632659352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2293216147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750984221 + 750984221 + 5*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142871*l**2 - l - l + 142795*l**2 to the form b*l + q*l**2 + j and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 7*m - 7. Let t be (-3)\/(2\/4 - 9\/72). Let k be y(t). Is (4 - 1)*k*17346\/126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -19*y**5\/30 + y**4 - 11*y**2 + 19*y. Let j(z) be the first derivative of q(z). Find the second derivative of j(h) wrt h.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2 + 9 + 3*z**2 - 49*z + 0 - 2. What is the tens digit of r(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000618844 to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 576422 (base 8) in base 16?\nAnswer: 2fd12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 259 + -255. Let k(f) = 2*f**3 + f**2 - f + 1. Let c be k(1). Sort w, c, -0.5 in descending order.\nAnswer: w, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 - -2)\/(-1))\/1. Suppose -38*n = -48*n + 70. Suppose y - 5*q - 10 = r, -3*y - 2*q - n + 3 = 0. Solve 3*x + x = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3771*v + 2*v**3 - 3526113 - 506*v**2 + 3526113 wrt v?\nAnswer: 12*v - 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33.76334 millilitres?\nAnswer: 0.03376334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -48\/13 (b) 0.5 (c) -2098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7941960.88.\nAnswer: 7941965.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -724987*t + 47. Let w be z(13). Let q be (32\/18 - 2) + w\/72. What is q rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4151.96 and -0.01.\nAnswer: 41.5196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(176)*-2 - sqrt(176)) + -1 + -2 + sqrt(176) + -2 + sqrt(176))*-6)**2.\nAnswer: 1440*sqrt(11) + 7236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1033*i**2 + 1037*i**2 + 1033*i**2 + 995*i**2 - 4093*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.008 and -10.9.\nAnswer: -10.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -639*m + 927 - 6424 - 14312 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9785 + -31.8415. Do -0.1 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -10, 4*t - 4 = 3*t + 3*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*s + 7. Let d = s - -3. Calculate the remainder when 10 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 + 10 = 0. Suppose 3*t + 5*s = -0*t - u, 4*s = -16. What is d in 2 + 3*d**2 - 7*d**3 - 2*d**4 + 7*d - d**4 - 2*d**t = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.11 + -12. Which is the third smallest value? (a) k (b) -0.3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (339 + 97 + 330 + 608 - 204)*(-3 - m**3 + 3).\nAnswer: -1170*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.05 - 0.35. Let x = -0.9 - j. Which is the closest to -1? (a) 0.9 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -529 and -664.244.\nAnswer: 351385.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 4:09 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*z = -0*h - 98, 3*h + z = 52. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -836 + -852?\nAnswer: -1288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 22) + 57 + -55?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8005480 by -5.\nAnswer: 1601096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 632 - 627. Let q = -0.45 - 4.55. Which is the closest to q? (a) 0.3 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-3)*9\/(-2). Let k be 1\/(2*(-2)\/i). Let y(h) = 4*h**2 + 4*h - 6. Let t(n) = -5*n**2 - 5*n + 7. Let o(p) = k*y(p) - 2*t(p). Factor o(u).\nAnswer: -2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 + 8*f - 8. Let p be b(-9). Is 11 a factor of (11 - -1) + (p - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4354693 to the power of 1\/2, to the nearest integer?\nAnswer: 2087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -63, -2, -5 in descending order.\nAnswer: 1, -2, -3, -5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - b**2 - b**2 + (3*b - 3*b - 2*b)*(-b - 3*b + 2*b) - 3*b**2 - 3*b**2 - b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**6\/40 + 7*t**5\/60 - 3*t**2\/2 - 16. Let c(u) be the second derivative of w(u). What is the third derivative of c(j) wrt j?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -17. Suppose p + d*s = -3*p + 3154, 4*p + s = 3151. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-1 - 4) - (137 + -6 + -124).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i = -13 + 3 - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*p - 30. Let d(n) = 2*n - 22. Let m be d(p). Solve 0 = -3*f + m*h + 4, -f - h = h - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, i: 1, z: 1}. What is prob of picking 1 i, 2 o, and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 - 26. Solve 3*j + 2*j = -3*g + f, 0 = 4*j - g - 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91882 and 13951?\nAnswer: 183120826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.595819 minutes to nanoseconds.\nAnswer: 275749140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826 divided by -2.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 180695 or 180609?\nAnswer: 180695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f**3 + f**2 - 2*f + 1. Let d be a(1). Let b = -47050 + 189193\/4. Let o = 7059\/28 - b. Is d != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -556\/2583 - 2\/287. Let z = 0.052 + -0.352. Which is smaller: w or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 12*p - 8. What are the prime factors of w(-15)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000916799 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 200+-3\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4851 and 1386?\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of 41\/12*z**4 + 0*z + 2*z**2 + 0 + z**3. Is h(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-6)\/w))\/w)\/w*w**(-6)*w\/w**(-5\/2)*w*(w\/(w\/(w*w\/(w*w\/w**4)*w))*w)\/w*w assuming w is positive.\nAnswer: w**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/22, 7\/5, 3, 0.0941?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 6. Let j be o(3). Let i = j + -3. Let v(w) = 7*w - 9. List the prime factors of v(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69521?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2 - 21074*p - 44951128 = 0.\nAnswer: -1819, 12356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 90*w**3 - 189*w**2 + 96*w.\nAnswer: 3*w*(w - 1)**2*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -67 - -73 - (4 + 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -685*r**2 + 915*r - 230.\nAnswer: -5*(r - 1)*(137*r - 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 0*c)*(2 - 2*c**2 + 1342*c + 1344*c - 2784*c) + 0*c**3 - 13*c**3 - 7*c**3.\nAnswer: -18*c**3 + 98*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 117 and 5844.\nAnswer: 227916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (393 + 0)*((-55836)\/186120)\/(-9*2\/20)?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -877*k - 1396*k + 1665*k + (-2*k - 3*k + 4*k)*(1 + 3 - 2) + 1 - 1 - k.\nAnswer: -611*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092110564 to six dps.\nAnswer: -0.000921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -49151362.28 rounded to the nearest 100000?\nAnswer: -49200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.628 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.08 + 1.78. Let q = -0.3 - p. Let x = -79034.5 - -79034. What is the smallest value in x, 0.3, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 675 divided by -225.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 393.0634 + -393. Round d to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 138.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581466 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6281 and 3449.4.\nAnswer: -21665681.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 11:18 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2901087 or 2901088?\nAnswer: 2901087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 + 2*b**2 - 1. Let k = 8 - 1. Calculate the remainder when k is divided by m(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 6.727?\nAnswer: 1.3454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21.9 + 16.9. What is the third smallest value in 4, s, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(0*c + 0*c + 5*c) + (2*c - c + 0*c)*(3 - 2 + 3).\nAnswer: 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-162.2.\nAnswer: -113.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**3 - x**2 + 200*x - 34. List the prime factors of w(-14).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 2*x**2 - 2*x. Let i be j(-3). Let l = i - 2. Let d = l - 27\/2. Do 0 and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 242*g + 240. What is the least common multiple of d(84) and 180?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6135*c - c**3 - 3*c**3 + 6135*c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/72 and 49\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -361, -363, -365, -367, -369?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1000011110?\nAnswer: 1000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10) + (-82)\/(-410).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -20*n**7\/21 - 5*n**4\/6 + 2*n**3\/3 + n - 2. What is the third derivative of z(t) wrt t?\nAnswer: -2400*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 2*l + 7, 0*l + 3*l - 7 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2567\/9 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -4*r - t + 22, 0 = 5*t + 25 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 335 + -335. Suppose -54*c + 35 = -73. Solve -2 = c*y - g*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128466092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121020 (base 3) to base 9.\nAnswer: -536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 1. Let a(q) = -5*q + 1. Let l(t) = a(t) + x(t). Let n(h) = h**2 - 42*h. Determine l(n(c)).\nAnswer: 2*c**2 - 84*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 256363.44 to the nearest 1000.\nAnswer: 256000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 1 + (-22)\/77. Which is the second smallest value? (a) 4 (b) x (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p - 5*p + 4790348 - 3*p.\nAnswer: -3*p + 4790348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + t - 5*i + 9, -4*i = 3*t + 25. Let q be (2\/t)\/(4\/(-56)). Suppose 6*v = q*v. Solve -w = -v + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, w: 3}. What is prob of picking 2 w?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 832794.\nAnswer: 2, 3, 138799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**4 + 15*w + 2 - 14*w - 2*w**2 + 3*w**2 to q*w**2 + z*w**4 + u + i*w + r*w**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (-3)\/(-6))*146. Let w = -77 + u. Let n(f) = 3*f - 4. What is n(w)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 (base 8) in base 7?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 460*m + 4511. Calculate x(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*d - 10. Let s = 6 - d. What is the closest to -0.2 in s, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 66\/17, -0.3, 3 in increasing order.\nAnswer: -0.3, 3, 66\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5033521694*w - 5033521694*w + 29*w**2.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**5 - 24766*a**3 - 16476*a + 2?\nAnswer: -40*a**3 - 148596*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -150*k**3 + 143*k**3 + k - 2*k**2 + 207*k**3 + 128*k**3. Is z(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -60.1, -2, -7.752?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-4))\/((-1)\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7208 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1.13436 (b) 0.2 (c) -1\/5 (d) -2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*9\/((-9)\/18*6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 21\/8, 0.311, -5, 14.2 in increasing order.\nAnswer: -5, 0.1, 0.311, 21\/8, 14.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 5*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 659.77 rounded to the nearest ten?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3757267mg in tonnes?\nAnswer: 0.0000000003757267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71*f*h**2 - 17*f*h + 2*h wrt h.\nAnswer: 142*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203118553 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 3012912.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -183726 or -182796?\nAnswer: -182796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**8\/80 - 7*p**4\/8 + 2*p**3\/3 + 16*p. Let v(u) be the second derivative of i(u). Find the first derivative of v(r) wrt r.\nAnswer: 84*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -257.18 - -161.31. Let n = -96 - p. Which is the second biggest value? (a) -1\/2 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -353, 5, 1, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9621 and 2.8.\nAnswer: 26938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 982*c + 1028*c + 0 + 0 as b + f*c and give f.\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13406 (base 7) in base 12?\nAnswer: -2128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2\/9, 0.3, -2, 64774, 94 in ascending order.\nAnswer: -2, -2\/9, 0.3, 1, 94, 64774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -9*a**3 - 14*a**2 + 33*a + 1. Let r(j) = -25*j**3 - 41*j**2 + 91*j + 4. Let y(v) = 11*i(v) - 4*r(v). Determine y(-5).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:08 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*m - 0*m - 3*t, -3*m + 3*t = -60. Suppose -w + 5*k = -m, -5 = 3*k + 2*k. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22020 (base 3) to base 13\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 156*r.\nAnswer: -r*(r - 156)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-141 + 48 - 51)*(-55*l - 211 + 211).\nAnswer: 7920*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 504.\nAnswer: -3, 1, 504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1865 - 1864. Sort h, 3, -5, -65.\nAnswer: -65, -5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 0. Let p = 52 + -51.8. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011011 (base 2) to base 15.\nAnswer: -13d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ad29f (base 16) to base 9.\nAnswer: -1300847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/351 + 1043\/1755. Let v(s) = -3*s**2 - 18*s + 21. Let o(g) = 6*g + 77. Let x be o(-14). Let z be v(x). Which is smaller: z or p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/30 - 5 - 15\/(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -57 + -116?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*z - 19 = 2*z, -4*z = 3*m - 7. Let h be -3 - m\/(-110)*74. Let u = -0.12 + 0.62. Sort u, -0.4, 5, h.\nAnswer: -0.4, h, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -193 (base 14) in base 15?\nAnswer: -16a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/20)\/(4\/(-10)). Suppose b*w = -15 + 78. Suppose 0*c + 2*l = -c + w, -2*c + 4*l = -26. Solve 5 = 4*t + c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 10:21 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 285, 566, 847, 1128, 1409?\n\"Answer: 281*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 35210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 4*w - 4, -3*g - g = -3*w + 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/15, 15, 0.0797.\nAnswer: 0.0797, 2\/15, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/222192 and 27\/3468664.\nAnswer: 62435952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 997*b + 1177*b - 10*b**2 + 856*b.\nAnswer: -10*b**2 + 3030*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64 (base 8) to base 9.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (250\/1125)\/(((-10)\/72)\/(-5))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*sqrt(104)*2)\/(sqrt(88)\/(6*sqrt(99))).\nAnswer: -720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 10:02 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*-1*sqrt(245) + 5*-2*sqrt(245) + sqrt(245) - -5*((0 + sqrt(245) + sqrt(245))*-5 + sqrt(245)))**2.\nAnswer: -4776030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 13*a = 235 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -12 - 5) + -2 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*z + 2*t = 1585, -32*z + 53 = -68*z + 33*z - 6*t + 5*t for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -12*f + 7*f. Let j be 24\/f + (-8)\/12. Let z(q) = q**3 + q**2 + 6. Let c be z(0). Solve -j*x + c = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37421398 and 14?\nAnswer: 37421398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*x + 41617*x**2 + 30599 - 41613*x**2 - 30599.\nAnswer: 4*x**2 - 55*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y, 13 + 17 = 2*t + 5*y. Let i be (t\/9 + -2)*(3 + -9). Solve 5*q = -2*b + 23, 3*b - i*b - 7 = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, -46, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280449771 and 4206?\nAnswer: 2103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -23*j**4\/4 - 2*j**2 + 2*j. Let r(h) = -3*h. Calculate t(r(c)).\nAnswer: 414*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 494811 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 1061*y - 2. Let v(u) = 49875*u - 95. Give 95*c(i) - 2*v(i).\nAnswer: 1045*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 889*a - 1565*a - 10070 = -941*a for a.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 1, 0.5, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 230027?\nAnswer: 4\/230027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*f + 1536009, 3*f + h + 0*h = 1152003. Suppose 0 = -50*v + 47*v + f. Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1850 and 20.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21139 - -21139. Let j = -0.08 - 0.22. Sort 7, -2\/3, j, b.\nAnswer: -2\/3, j, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 divided by 1\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 714 and 595?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*s**3\/5 + 108*s**2\/5 + 132*s\/5 - 8.\nAnswer: 4*(s + 2)*(s + 5)*(4*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 15*v + 545. Let h be k(-36). Solve -d - h = i, i + 0 = -5*d - 25 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34*3\/9)\/((-4)\/30). Let c = k + 89. Suppose -6*w = c*w - 12400000. Round w to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208700343 to the nearest integer?\nAnswer: 14446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*a - 7697 = -1083*a + 3387 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1500 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -922 - -925. What is the closest to 3 in g, -7, -0.5, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 557436904 to the nearest integer?\nAnswer: 23610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -327040752*w**2 + 41*w - 597244 wrt w.\nAnswer: -654081504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 3)*(-4*i + 3*i + 2*i) - 3*i - 5*i + 6*i - i + 0 + 0)*(3 - 2 + 1)*(-i - i + i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -349.8 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101208 is divided by 9198.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 714661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833))*-2*-2 + -4.\nAnswer: 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 313, 623, 933?\n\"Answer: 310*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*v + 1 + 761*v - 380*v - 1.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-2)\/1))\/((-138)\/69).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (236 - 477 - 91)*(-n - 2*n + 2*n)*(-2 - 1 + 5).\nAnswer: 664*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + -0.79. Let w = 0.9 - f. Let l = w - 1.88. What is l rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/2 - (-12 + 10). Suppose -5*f + n*f + i = 0, 0 = f + 5*i - 30. Solve f*d - 10 = 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 47*d**3 - 8*d**2 - 11280*d + 22. Let w(g) = -24*g**3 + 5*g**2 + 5640*g - 10. Let o(j) = -5*k(j) - 11*w(j). Find the second derivative of o(n) wrt n.\nAnswer: 174*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6868 times -211.2\nAnswer: 145.05216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -19, -4, 45, 140, 293, 516, 821?\n\"Answer: 2*m**3 - m**2 - 18*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -61601*k**3 - 6*k**2 - 5*k. Let l be z(-5). What is l rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 255, 259, 273, 303, 355, 435?\n\"Answer: n**3 - n**2 + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17\/((-119)\/154)*4\/((-8)\/2917)?\nAnswer: 11, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/37))**(-37)\/(m**(-8))**(22\/3))**(5\/14) assuming m is positive.\nAnswer: m**(425\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 44, 132, 220, 308, 396?\n\"Answer: 88*d - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 20*d = -72. Let g = 22 - d. Solve -5*l - g*p + 10 = 0, 4*l - 4*p = -0*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 0*h. Let a be (-1)\/(h - (-1)\/(-4)). Let o(x) = 2*x**2 - 5*x - 1. Is o(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + i - 4, -z + 5*z + 4*i + 32 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75935 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 985807 and 431?\nAnswer: 424882817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*u - 110*u = 248. Let q = u - 58. Calculate the remainder when q is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1823123273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -3*w**8\/224 + 29*w**7\/140 - 59*w**6\/80 - 53*w**5\/40 + 31*w**4\/8 + 6*w**3 - 766*w**2. Suppose k(l) = 0. What is l?\nAnswer: -1, -1\/3, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 24884\/(-8) - (-2)\/4. Suppose -13*s = 31 - u. List the prime factors of s.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 896 and 784.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9423292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 99*l - 812270 - 1867957. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 74*t**2 + 30*t + 4. Let u(x) = -10*x - 1. Let n(d) = -l(d) - 3*u(d). Let f(g) = 7*g + 2. Give n(f(q)).\nAnswer: -3626*q**2 - 2072*q - 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -22*p + 3. Let k(q) = -1. Let n(a) = -f(a) - 2*k(a). Suppose 5*r - t = 3*t + 14, -r + 5*t - 14 = 0. Is n(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, -12, -29, -50?\n\"Answer: -2*q**2 - 7*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28694288381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.1 - -48. Which is the second smallest value? (a) p (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:21 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2592)*1)\/(-1*sqrt(726)*-4).\nAnswer: 3*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 9*x**2 + 9*x + 18. Let t be y(8). Suppose -3*b - 14 = -4*b. What is the highest common factor of b and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 31\/3*k**3 + 94*k**2 + 0 + 0*k**4 + 0*k + 0*k**5 + 31\/30*k**6. Differentiate y(x) with respect to x.\nAnswer: 372*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.2 (c) -11634\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/11)\/(5\/(-10)*14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*-1 + sqrt(216) + sqrt(216))\/sqrt(12)*5 - (((sqrt(198) - 3*sqrt(198)) + sqrt(198) - sqrt(198))*-5)\/sqrt(11))**2 + -3.\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 12. Calculate the lowest common multiple of 5 + (-3)\/(-3) + -2 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**(-1\/29)*v))*v*v*v*(v**(-14)*v)\/v*v*(v*v*((v*(v*v*v**(-2\/7)\/v*v)\/v)\/v)\/v*v)\/(v**(2\/9)*v) assuming v is positive.\nAnswer: v**(-13780\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8816007*s + 5*s**3 - 14*s**3 + 8816007*s.\nAnswer: -9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 32*k**3 + 8*k**2 + 4*k - 58. Let y(g) = 64*g**3 + 14*g**2 + 7*g - 115. Calculate -7*m(j) + 4*y(j).\nAnswer: 32*j**3 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, s: 3, v: 6, m: 1, u: 1}. What is prob of picking 2 v and 1 s?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n - 34*n + 52*n + 83*n as t + o*n and give o.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 2*l - 2066. Let g = l - 16505\/16. What is the common denominator of g and -39\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 2 + 13 + -5 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1184 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 9*j**2 - 440*j + 271. Determine y(49).\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/4 and 17\/(-272)*516\/(-27)*(-3)\/(-52)?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*z - 2*z + 57 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 - 11*t - 6. Let y(b) = -2*b - 1. Determine -d(o) + 6*y(o).\nAnswer: 6*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 6:52 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -1, -3, 70, 0.1?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 20\/40 + (3 - (-158508)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223947.\nAnswer: 3, 149, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:02 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.1. Let v = -56.6 + -281.4. Let z = 338 + v. What is the nearest to z in y, -4, -1\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.34 + 0.14. What is the nearest to 3\/5 in w, 5, 10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5083.7 - 5083.6960041. Round r to 4 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (-98548)\/52 - (-4)\/(-26). Suppose -2*z + 3*o + u = 0, 4*z + o = 8*z - 3763. What are the prime factors of z?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 3. Let k be y(3). Suppose 96 = 6*x - 0*x. Let q = -14 + x. Solve -q*r + 0*r + 8 = k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 56? (a) 72\/7 (b) -73 (c) 0.3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.6 - -5.645. Let w = d - 7.045. Let o = -6.989 - w. Round o to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 121380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*q**5 + 276*q - 276*q + (-17*q**4 - 19*q + 19*q)*(-5*q + 2*q - 2*q).\nAnswer: 77*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*z - 8 = -4*c + 220*z, 0 = -4*c + 3*z - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*sqrt(130)*-6*-6)\/((sqrt(70)*1)\/sqrt(7) + sqrt(10) + 2*sqrt(160)).\nAnswer: 72*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 + 23*h**4 + 3*h**4 - 2*h**3 + 14 - 11 to the form x*h + l*h**2 + p*h**4 + z + d*h**3 and give p.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/18 and 55\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2612 less than 1019512?\nAnswer: 1019510.7388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12133 - 12?\nAnswer: 12121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a59b - -568?\nAnswer: -2a033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16791.5 - 81.3.\nAnswer: 16710.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {a: 1, s: 2, b: 1, j: 1, m: 1, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*((sqrt(3) - (sqrt(60)\/sqrt(4))\/sqrt(5)) + sqrt(3)) + -3))**2.\nAnswer: -750*sqrt(3) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**2 + 11*p**2 - 20*p**2 + 23*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 75\/9 - (-12)\/18. Suppose 0 = 6*c - p*c + 15. Suppose 5*a + 2*s = -2*s + 475, s - 460 = -c*a. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 2*s**6\/3 - 164*s**5\/5 + 399*s**4 + 588*s**3 + 590. Find y, given that p(y) = 0.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 45*w + 1. Is 8 a factor of i(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16109156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 772 or 779?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1180 + ((-3)\/10)\/(2\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 2:11 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 minus -41699?\nAnswer: 41524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5159 - 5159. Solve -1074*f + 1075*f = c for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50536160 and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + 2*p**2 + 4*p**2 - p + 2*p**2 as z*p**3 + i*p**2 + t + d*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m + m + 4*m + (2 - 1 - 3)*(-2*m + 4*m - 4*m) + 0*m - 4*m + 3*m + 2*m - m + 0*m + 21*m - 50*m + 264*m to the form c*m + s and give c.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4063620618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 + 35*x**2 + 42*x + 287. Calculate k(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -64. Suppose 6*s + 2*s - 16 = w. Solve -3 = -3*g - s*y, 4*g + 4*y - 3 = y for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 613 + -613.0001862. Round w to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1211446 and 45878?\nAnswer: 958253786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 7 = -3*j - 3, j + 2 = -2*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36967 is divided by 15884.\nAnswer: 5199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 11)*(90\/8 - 2). Let k = c - -51. Calculate the lowest common multiple of k and 106.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 3. Let w(r) = 2*r**3 - 4*r**2 + 6*r - 6. Let g be w(5). Find the common denominator of g\/(-8) + (3 - 5) and j(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {t: 1, g: 1, i: 4, e: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3*a + 2*a - 4*a - a + 4 + a**3 - 5*a**2. Let k be j(6). Solve -4*h + k = 0, -4*q - h = -7*q + 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + sqrt(1377) + sqrt(17) + -3 + sqrt(17) + 0 - (-3*sqrt(1088) + 3 + 4)))**2.\nAnswer: -840*sqrt(17) + 20969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 6*m**2 + 16. Let b be l(5). Which is bigger: b or -17\/2?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 1, d: 2, y: 1, z: 1, h: 2}. Give prob of sequence xdoy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.998 or 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 15*z**3 + 11*z**2 + z. Let j = 9 - 15. Let x(q) = -8*q**3 - 6*q**2. Let c(o) = j*t(o) - 11*x(o). Find the second derivative of c(d) wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 1 + 0*x + 3*x)*(1 - 1 - 4*x**2) + 2*x**3 - x**3 - 3*x**3 + (x**2 + 1 - 1)*(0*x - 2*x + 0*x) + 27*x**3 - 3*x**3 - 5*x**3.\nAnswer: 11*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 6:39 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 4*c - 1. Suppose 3*t + 7 = 4*j, j - 2*j - 4*t = -16. Let g = -2 + j. Let a be q(g). Solve 0*r - 4*r - a*z = -2, -3*r - 1 = z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618109 <= 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9201370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -0*y - y + 2*s - 104 + 65 + 56, 5*y = -2*s + 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 344b6 (base 15) in base 7?\nAnswer: 1262160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.3, 4, 10\/22887?\nAnswer: 10\/22887","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 33 + 42 + 54 - 4*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6 + (-200)\/160.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y + 32. Suppose -76 - y = -4*p. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 197?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2. Let p(a) = 262*a**2 - 2*a. What is p(m(b))?\nAnswer: 1048*b**4 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f. Let s(t) = 53 - t - 53. Calculate s(a(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 22*q**2 + 852*q - 224. Determine d(-39).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21610695 and 8550?\nAnswer: 648320850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*18\/4. Suppose 2*l - 3 - 1 = 0. Let m be 1*0\/(l + f). Is 3\/8 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-19)\/38 - -5)*2\/6. Let n = -0.233 - -0.533. Let u be (5\/2)\/(3\/(-6)). Sort u, p, n.\nAnswer: u, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(-27)\/(-90)*2884\/3?\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 11. Let m = 4 + -2. Let q be g\/2*-2 - m. Put q, -5, -4 in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52 - -134. Calculate the remainder when o is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 373971 and 6.\nAnswer: 747942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + z - 1. Let x be w(-2). Let m be (-2)\/(-7) + 58\/x. Let j = m - -10. Calculate the smallest common multiple of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 - 3. Let b = 6.29 + -6. Let v = -0.11 - b. What is the biggest value in v, c, -3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jsljls. Give prob of sequence sl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1241\/2089558?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.34 + -19.14. Let s = 1 + -1. What is the closest to s in v, 0, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -6 + (-126)\/(-48). What is the closest to 0 in x, 0.3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from {f: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 288*l + 1145. Determine u(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-17 - -13 - -1)*(2 + -1). Which is the nearest to -1? (a) h (b) 1\/2 (c) 1.88 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -285, -287, -303, -327, -353, -375?\n\"Answer: a**3 - 13*a**2 + 30*a - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 10*a**2 - 5*a - 2. Suppose 3*o = 0, 3*o + 5 = -z + 6*o. Let c(t) = 2*t**3 + 19*t**2 + 9*t + 3. Determine z*f(s) - 3*c(s).\nAnswer: -s**3 - 7*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -5*f - 13, -2 = -2*f + 3*c + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 3054 + 3846 = 0. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*t - 3*b, -4*b - 6 = -4*t - 2. What is the second derivative of -t*m**3 + 9*m + 5*m**3 - 5*m wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.12, 1, -1\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - d + 6. Let p(q) = -q + 3. What is the remainder when 9 is divided by p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 606 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 8*w**2 + 802*w - 612. Determine m(-109).\nAnswer: 7018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 2 - 2)*(3*d - 4*d + 3*d) - 1984*d**2 - 2193*d**2 + 727*d**2 as w*d + h*d**2 + u and give h.\nAnswer: -3446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-198))\/1*6\/(-7).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -4*j**3 + 8*j**2 - 5*j - 2. Let l(n) = 5*n**3 - 7*n**2 + 6*n + 3. Give 5*l(h) + 6*s(h).\nAnswer: h**3 + 13*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 5*f, -f - f = 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83, -327, -727, -1277, -1971, -2803, -3767?\n\"Answer: m**3 - 84*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.984 - 0.016. Is s at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 1, -10968?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 2 + 19 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 2853.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006379 rounded to six decimal places?\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from guguuuuuuuggug?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 46854 divided by 6\nAnswer: 7809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1) + 2 - -34. Suppose 2*d = -z + 108. Calculate the remainder when d is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/(10\/(-120)). Let o(y) = 4*y - 10. Let m be o(7). Suppose -t*p = -m + 6. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 17 = -b - 7, -10 = 2*b + 5*l for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of 7*y**3\/6 - y**2\/2 + 3*y - 3. Let f(t) = -3*t. What is f(v(z))?\nAnswer: -21*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -85 (b) 1\/11 (c) -113 (d) 3 (e) -1 (f) -2\/19 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(198)\/(sqrt(18)\/sqrt(3)))\/sqrt(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 2, 4, -2 in ascending order.\nAnswer: -8, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -93382*v - 6630136. Calculate p(-71).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -202.64498 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + 5*y + 2. Let z be x(6). Let u be (-11)\/z + 3\/12. Suppose -u*k = 4*t + 6 - 32, 4*k - 8 = 0. Let l(r) = r + 1. Give l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499421 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**3 + 0*c**3 - 2*c**3 + (-3*c**2 + 5*c + c**3 - 5*c)*(2 + 0 + 0).\nAnswer: -2*c**3 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 - 3*d + 42. Let n(t) = 10*t**2 - 14*t + 210. Determine 3*n(v) - 14*y(v).\nAnswer: 2*v**2 + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, l: 7}. What is prob of sequence aa?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102*c**2 + 80*c - 2 wrt c?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 6 = -5*u, -3*r = r - 3*u - 2. What is the third derivative of -r*l**6 - 8*l**2 + 4*l**6 + 7*l**6 - l**6 wrt l?\nAnswer: 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + w + w + (0 + 0 - 6*w)*(4 - 1 - 2).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.7 - 25.7. Let i = n - -17.9. Round i to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w = -4*w. Let d = -4 - w. What is the remainder when (186\/24)\/((-1)\/d) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14, 0, 4 in ascending order.\nAnswer: -1, 0, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*n + 3*n. Let t = n - -3. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 111 + -205. Let g = i + -282. What is g rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-4)*j)\/j)\/j*j**(4\/3) assuming j is positive.\nAnswer: j**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-1)\/6*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-4*((sqrt(14) - (sqrt(686)*1 + sqrt(686)))\/(sqrt(162) - (sqrt(162)*1 - sqrt(162))) + -3).\nAnswer: -52*sqrt(7)\/9 - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 + -117 - -85) + 31?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - h, 2*h + 4 = 5*s - 11. Let m be (5\/3 + -2)\/s. Which is the closest to m? (a) -2\/21 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q - 1. Let x = 41 - 37. Let a(h) = 6*h - 4. Let v(s) = x*j(s) - a(s). Let l(k) = 6*k. Give v(l(f)).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-24)*(-360)\/80. Let d = -28 - -31. Which is the closest to d? (a) 0.3 (b) y (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -0.7, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11537690 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6141 = 5*a + 926, 4*a - 4164 = -2*r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1466410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -163*k**6\/120 + 11*k**5\/2 - 9*k**2 - 4. What is the third derivative of x(u) wrt u?\nAnswer: -978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 9*z**2 - z**3 + 0*z - 2*z - 47 + 59. Let l be a(8). Suppose -l*y + 254 = -58*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l - 12. Let m be j(-3). Suppose m*o + p - 10 = -0*p, -5*o - 3*p + 10 = 0. Which is greater: 6 or o?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47850 and 621654?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-1)*(-8)\/6. Let t be (-8)\/q + 13\/3. Suppose -5*a = i + 5, -3*a + 105 = t*i - 4*a. What is the remainder when 39 is divided by i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1827? (a) 0.4 (b) 2\/15 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/21)\/r**(8\/3) assuming r is positive.\nAnswer: r**(-55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 962776*k + 4813897. Calculate n(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2*n - 44236 = 0, -2*a - 3*n + 13362 + 30864 = 0. Is a\/30 + 2\/(-10) + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -107.1.\nAnswer: 535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 2\/11 (c) 14 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -35. Let p = -32 + 44. Are p and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+290574.1\nAnswer: 290577.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -o - 4*o + k, -3*o = 3*k - 42. Let m be 1\/1*(-8 + 11). Solve -4*q = m - o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*a - 3*z, 3*a + 5*z - 12 = 4*a. Suppose -9*h - a + 84 = 0. Calculate the common denominator of h\/(-6) + (-47)\/3 and 1\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x + 2. Let w be g(-3). Let q(m) = -m + 9 + w - 6. Let d be q(0). Solve -s + 3*p = -0*s, -5*s - 2*p - d = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 408 = 0. Let f = 251 - c. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2809*l - 2809*l + 7*l**3.\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 63*y**2 + 54*y - 190. What is the units digit of w(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**4 + 304*t**3 - 534*t**2 + 2*t + 2. Let s(m) = -2*m**4 + 323*m**3 - 533*m**2 + 3*m + 3. Let j(x) = -3*a(x) + 2*s(x). What is w in j(w) = 0?\nAnswer: -268, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/8033?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-382)\/14 + (-100)\/(-350))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 287, 1006, 2153, 3734, 5755?\nAnswer: 8222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, 0.02, -4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173*r - 66*r - 78*r.\nAnswer: 29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*q**4 + 704*q**3 + 108599*q - 1.\nAnswer: -972*q**2 + 4224*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(6\/5)*c)\/c)\/(c*c**7*c))\/((c**(-2)*c)\/c*c\/(c*c**8)*c) assuming c is positive.\nAnswer: c**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k**2 - 5*k. Let z(q) = 46*q**2 + 11*q. Suppose -12*n + 61 = 53 - 100. Determine n*p(i) + 4*z(i).\nAnswer: -23*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 7:04 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 12. Does -6 = i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l + 7276 = -47*l - 334*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 13*j**2 - j + 11. Let a = 1633 + -1646. Determine y(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1274 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214*k + 4*c = -211*k - 50, -2*k - c = -59. Suppose -m = -0*m - 39. Calculate the greatest common divisor of m and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/330*y**5 + 1\/22*y**4 - 2*y**2 - 3\/11*y**3 + 0*y + 0. Factor f(r).\nAnswer: -2*(r - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - k**2 - 9*k + 2. Let h be q(5). Let t = h + -54. Is t less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 109*o**3 + 131*o**2?\nAnswer: 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -2. Let m = -0.02 + 0.12. What is the nearest to m in -0.3, 0.4, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 + c + 14. Determine w(-5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74213 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3388843 equal to -3388844?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 0, 0 = -5*h + 4*h - o + 5. Suppose -7 = -h*m + 2. Let q be 2*(-1)\/15 - 1640\/1200. What is the second biggest value in -0.1, m, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-31)\/((-341)\/176) + -27. Suppose 2*x = -x. Sort -1, z, x in descending order.\nAnswer: x, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 2*w**2 - 3*w + 6. Let i be t(0). What is the third derivative of -269*s**4 - 144*s**i + 90*s**2 + 122*s**2 + 269*s**4 - 8*s**2 wrt s?\nAnswer: -17280*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 63, -5 in decreasing order.\nAnswer: 63, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4\/3, 9, -55?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25672*r + 25547*r = -2000. Suppose 11*y - 4*h = 6*y + 63, 2*y = -4*h + 14. Let u = 21 - y. Calculate the least common multiple of r and u.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let b be x(2). What is the remainder when 331\/7 - b\/7 is divided by 1593\/354*26\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(60))\/sqrt(6))\/((sqrt(180) - -2*sqrt(180)) + sqrt(180)).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + 163?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:19 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -69 - (-892 + 897) - 4\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/5, -1, -2\/29, -4, -6, -59.\nAnswer: -59, -6, -4, -1, -2\/29, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + m + 2. Let t(y) = -58*y**2 + 5*y + 8. Give t(w) - 6*u(w).\nAnswer: -76*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52 + -2 - (125 + -102)) + -12 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 14*d**3 - 2*d + 19*d**3 + 7*d**2.\nAnswer: 5*d**3 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*j + 3 - 1, 5*j - 5 = 0. Let g = f + 0. Suppose 4 = -g*u + u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-70)\/42)\/((-2)\/12). Suppose c + 2*c + 5*k - 26 = 0, -k + l = 3*c. Solve 6*n - 16 = c*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -617003750124?\nAnswer: -617003750120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -653183, -653180, -653177, -653174?\nAnswer: -653171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**8\/672 + j**7\/420 - j**6\/240 - j**5\/120 - 7*j**2 - 60. Let u(q) be the second derivative of c(q). Factor u(g).\nAnswer: g**2*(g - 1)*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2581 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + (-2 + 1 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 212195503 < 212195505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -31*g - 23. Let b(j) = 46*j + 34. Let k(x) = -5*b(x) - 8*f(x). What is the first derivative of k(a) wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2250 - -11424?\nAnswer: 13674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 22887*o**2\/5 - 45783*o\/5 + 22893\/5.\nAnswer: 3*(o - 1)**2*(o + 7631)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 16*y**3 - 3*y**2 + 18*y. Let x(j) = -17*j**3 + 4*j**2 - 13*j. Calculate 3*k(s) + 4*x(s).\nAnswer: -20*s**3 + 7*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3465670761 + -4?\nAnswer: 3465670755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/7128 and 5\/2.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a factor of 339425885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 12*y**2. Let l(v) = 6*v**2 + 32*v - 52. Let g be l(-25). Let u(a) = 2898 - a - g. What is u(h(t))?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*w - 2*b, w = -9*b + 11*b - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -7, -2, -12 in descending order.\nAnswer: 1, -2, -3, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16963238*v**6 + 1286*v**2 - 24*v - 101.\nAnswer: 2035588560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*i + 4 + 30*i - 68*i with respect to i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115 - -98. Let p = d + 19. Solve 3*j + 1 = p*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**4\/2 + 555*r**3 - 4389*r**2\/2 - 555*r + 2196 = 0.\nAnswer: -1, 1, 4, 366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*z**3 + h*z + 82*h - z**3 + 12579*z**2 - 70*z + 2 wrt z.\nAnswer: 12*h*z - 6*z + 25158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252964 divided by 4?\nAnswer: 63241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-21)\/(-28) - (-19)\/(-4). Let z be ((-12)\/7)\/((-3)\/(-294)*r). Suppose 751 = 43*l - z*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -39663 to the nearest 1000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 3, k: 2, w: 3, i: 1}. What is prob of sequence iwsw?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -212010*h**2 - 364390 wrt h?\nAnswer: -424020*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 - -5477\/22. Let o = 3\/22 - s. Does -3.1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2. Let h(o) be the second derivative of o**5\/60 + 10*o**2 - 26*o. Let t(k) be the first derivative of h(k). Determine b(t(d)).\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*d - 5*t = 181, -5*d = 5*t - 505. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9822 is divided by 545?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1580 and -83\/45.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13639.\nAnswer: 23, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -50 + -53. Let o = h - -102.3. What is the third smallest value in 0, o, 0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1082811 and 1164.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*4\/100*5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8632*f*n**2 + 3*f*n + 22440*f + 2*n wrt n.\nAnswer: -17264*f*n + 3*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14981 is divided by 24.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 58 (b) 0.4 (c) 14.7 (d) 12626\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82 + 168 - -22) + -4 + -39?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 9*y**2 - y - 8. Let v be q(-9). Let a(t) = 5*t**3 - t**2 + 1. Let l be a(v). Put 2, -4, l in increasing order.\nAnswer: -4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*m - 5*m + 3*m**2 + 18*m to y + d*m**2 + n*m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(-4) + 18\/(-45)*6125\/(-2200)\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2940 - -2940.1. Put j, 0.054, 1\/18, -4 in descending order.\nAnswer: j, 1\/18, 0.054, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -21. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173 + 94 - 405)*(v - 4*v + 5*v).\nAnswer: -276*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -285*k - 1150468 = -290*k - r, -920366 = -4*k + 2*r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.4 (b) 2\/19 (c) 14 (d) -1\/2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 11 = -9. Suppose -j - 5 = -5*w + 3, x*j + 2*w - 12 = 0. Solve s + 3 = -j*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 0.1, -8.1, 6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155*d**2 - 717*d**2 - 171*d**2)*(-3*d**2 + 0*d**2 + 5*d**2) to the form v*d**4 + b*d + y*d**2 + j*d**3 + c and give v.\nAnswer: -1466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**2 - 6*h - 37. Let b(y) = -5*y**2 - y + 1. Let x(j) = 2*b(j) - s(j). Calculate x(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638592497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2987.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 5) to base 8.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36633992 and 0.4.\nAnswer: 14653596.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -169. Let r = d + -62. Solve -o - 1 - 4 = r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k**2 - 4*k + 4. Suppose -5*m + 41 = 11. Let v = m + -4. Let p(a) = -2*a**v + 0 + 2*a + 2 - 4 + 0. Give -7*p(s) - 3*t(s).\nAnswer: -s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1385056789?\nAnswer: 43, 61, 528043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3155654359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*s + 5*o - 7515, 3*o - 12525 = 5*s. Let r = 4898 + s. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/61 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 63085?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.08. Let t = -0.06 - c. Let f = t + 0.07983. What is f rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**0*g**(1\/4)*g**(-1)*g*g\/(g*g**(-3\/2)*g)*((g\/(g\/g**(-2\/5)*g))**(1\/51))**(2\/23) assuming g is positive.\nAnswer: g**(17539\/23460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c**6\/3 + 72*c**5\/5 - c**3 - 3*c**2 - 26*c + 8841. What is the third derivative of k(h) wrt h?\nAnswer: 120*h**2 + 1728*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*s - 5*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*q - 243, q - 195 = 4*p - 0*q. Let x = -20 - p. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, f: 6, c: 10}. Give prob of picking 1 v and 3 f.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 2\/7*y**2 - 4\/7*y.\nAnswer: 2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4120.87669 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - c + 2. Let l be x(2). Let b be (-1)\/2*-4 + -4. Let f = 5 - 6. Put b, f, l in increasing order.\nAnswer: b, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 8 - 0. Suppose -3*n = -5*n + z. Solve n*v = -4, -2*o - 3*o + 15 = 5*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 + 15*q + 15. Let l be y(8). Calculate the highest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8834332 days?\nAnswer: 76328628.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -631.7 - -626.627. Let f = p - -0.073. Which is smaller: f or 15\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 5271*d**2 - 2584368*d - 229056876.\nAnswer: -3*(d + 113)*(d + 822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 4680?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2402.\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3315 and 0.04004.\nAnswer: 132.7326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/38 + (-477)\/(-19). Suppose 0 = -g - 3*g + 8. Solve 0*d - 4*d - 5*n = -b, -10 = d - g*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2660.11998 - 2660. Let z = r - 0.12. What is z rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488804.\nAnswer: 2, 122201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -14260 divided by -1?\nAnswer: 14260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7. Let q(b) be the first derivative of -b**2\/2 + b - 532. Calculate 2*i(j) - 14*q(j).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -41 + 125. Let n be (1836\/(-81) - -15)\/((-2)\/6). Is l not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 98352*f + 491744. Calculate q(5).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**7\/900 + o**6\/360 - o**5\/150 - o**4\/6 - 3*o. Let x(j) be the third derivative of z(j). Find w such that x(w) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 575670 (base 10) to base 11.\nAnswer: 363567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111000101011001 (base 2) to base 11.\nAnswer: aa306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(112) + (sqrt(11) - sqrt(44))*4)**2 + 5 + 3 - (sqrt(66)*3*-5)\/(sqrt(72)\/sqrt(192)).\nAnswer: 2603\/16 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 2 (c) -4420\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -98*i. Let q(b) = 6027101*b. What is f(q(x))?\nAnswer: -590655898*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 64 - (-1)\/1. Let k(v) = v**3 + 12*v**2 + 21*v + 10. Let y be k(-10). Suppose y = 2*q + 2*q - 24. Calculate the highest common divisor of q and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*z + 2 + 2 = 0, 8 = -2*z. Let j be 1*(-7)\/((-147)\/6). Which is the nearest to 4? (a) j (b) -2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128026\/225 - -5128\/9. Find the common denominator of c and -14\/345.\nAnswer: 1725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -16, -2*t - 3*t = -2*h + 38. Let b = 23 - h. Let j(g) = -g**3 - 5*g**2 + 6*g + 2. Give j(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120509\/225794 - 3\/3893. Is -1 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svsv when four letters picked without replacement from ssssssssvvssvs?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**6\/120 + g**5\/5 + g**4\/8 - 2*g**3\/3 - 5*g**2. Is 28 a factor of d(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -5.1. Let s = -15\/506 + -7\/46. Sort -2\/9, o, -1\/5, s in ascending order.\nAnswer: -2\/9, -1\/5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864477*v = 865081*v + 91808 for v.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -14 + (0 - -10) - 13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120967 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -717911*9.\nAnswer: -6461199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + (11 - 7) + -14 - 3) + -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 34*f**2 + 5800*f + 331. Determine i(-61).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cocf when four letters picked without replacement from {m: 2, f: 1, o: 3, c: 2, g: 1, v: 10}.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 362 - 3*y + 2*y**2 - 369 - 5*y + 2*y. Calculate the common denominator of z(6) and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 1. Let a = c - -21. Find the common denominator of (-15)\/a*2\/36 and -27\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/3 + 17\/12. Let r = 50 - 73. Is u < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 10*v**3 + 11*v**3 - 5*v**3.\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10202558.4 to the nearest 1000.\nAnswer: 10203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 0*u - 3*u + 0*u. Let p(b) be the third derivative of 0*b**3 - 1\/20*b**5 + 0*b**4 + 0 - 2*b**2 - b. Determine p(q(f)).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = u - m + 5*m, 3*u - 4*m = 23. Let v be u\/(-15)*24\/(-4). Solve v*g + f + 7 = -2*g, -8 = 5*g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -105070 - -4?\nAnswer: -105067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 26*q**3 - 38*q**2 - 40*q**2 + 77*q**2 to z*q + r*q**2 + t*q**3 + w and give t.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -9*d**3 - 35*d**2 - 78*d - 40. Let u(h) = 80*h**3 + 315*h**2 + 700*h + 360. Let s(w) = -35*c(w) - 4*u(w). Factor s(x).\nAnswer: -5*(x + 1)*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h - 1. Let a be v(-1). Suppose -a*g = -5*g + 124. Suppose -q = 3*q - g. What is the remainder when q is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 - 2*d**3 + (2*d**2 - 2*d**2 - 3*d**3)*(-1 - 1 + 0).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0066269 to 4 decimal places.\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 3253?\nAnswer: 22771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2410 (base 6) in base 11?\nAnswer: 48a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 130 = -2*u, 6*u - 2*r = u - 311. Suppose 0 = 5*p - 5*x - 865, 3*x - 7*x - 179 = -p. Let i = p + u. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 6\/3)*16. Let z = t + 26. What is the smallest common multiple of 66\/10 + (-4)\/(-10) and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/9 - 9644*k**3\/9 + 618278*k**2\/9 + 209308*k\/3 = 0.\nAnswer: -1, 0, 66, 4757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b + 700. Let x = -110 + 105. Let u(o) = o + 5. Let w be u(x). Let f be l(w). What is f rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-6))\/((-2)\/(-48)). Let b(i) = 5*i - 13. List the prime factors of b(x).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 226 - -66?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(3\/(-1*9)). Find the third derivative of 2*u**3 + 2*u**6 - r*u**2 - 2*u**3 wrt u.\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - sqrt(13)*1) + 4 + (-1*sqrt(156))\/sqrt(12) + -2)**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 + -1 - (0 + -4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -1\/12*t**4 + 0 + 0*t**2 + 0*t**3 - t. Let k(a) be the third derivative of 5*a**4\/24 - a**2. Determine k(s(m)).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9420 * -8302.\nAnswer: -78204840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 904 - 12*l + 2*l**2 - 919*l**4 - 3697*l**4 - 629 wrt l?\nAnswer: -110784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*x = 23, 0 = -2*l - 2*l - 5*x + 29. Suppose 4*c = -w - 14, -c = 6 - 2. Let k be (w + l)\/((-6)\/8). Let o(m) = m**2 + m - 1. Give o(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404, 271, 192, 197, 316, 579, 1016?\nAnswer: 1657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.63671 + -48.63658. Let c = 20.022 - 0.022. Let q = o + c. Round q to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*1*(1 + sqrt(432) + sqrt(432) + 1*sqrt(432)*6 + sqrt(432) + sqrt(432))*5)*2.\nAnswer: -4800*sqrt(3) - 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, -4, 4\/7, 0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1100) - (1 + 4 + sqrt(1100) - sqrt(1100))) + 5 + (3 + sqrt(275))*-1)**2.\nAnswer: -1260*sqrt(11) + 13799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(2*sqrt(256) + sqrt(256) + sqrt(256)).\nAnswer: sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/6, 2\/3, 10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m*t**5 - 16899*m*t - 15370191*t**5 + 398*t**2 wrt t.\nAnswer: 120*m*t**2 - 922211460*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 16*k - 76. Suppose -39 = 5*v - k. Let z be ((-68)\/(-60) + v\/12)*5. Which is the second smallest value? (a) 0.3 (b) z (c) 0.24 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1134 in 2, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away 2036028.27?\nAnswer: -2036021.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = j + 3*l, -7*l + 30 = 5*j - 2*l. Let m(h) = 8*h - 9 - 5*h**j + 5*h**2 - 2*h + 2*h**2. Does 20 divide m(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -1. Suppose 0 = 19*v + 7*v + 24934. Let f = v - -980. What is the highest common divisor of c and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.21 or -0.044?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 2 - 287 = 12*b for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -44341 + 88668 + 4*d + d**2 - 44345. Give s(8).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758*j - 16116 = 7382 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 178983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 + 7*t + 4*t**3 + 2*t**2 - 3*t**3 + 0*t**3. Calculate the smallest common multiple of b(3) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j - 34 - 91*j**4 - 56 + 86*j**4. Let w(b) = -5*b**4 + 4*b - 91. Let p(u) = -6*k(u) + 7*w(u). What is the derivative of p(f) wrt f?\nAnswer: -20*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509298 is divided by 300?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 928337*-44.\nAnswer: -40846828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48071 is divided by 190?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (4 + 855\/6). Let r = y + 114. Calculate the common denominator of r and -71\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2052*u + 501*u - 104 - 2659*u + 104.\nAnswer: -4210*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + -2.8. Let j = 2.89 + p. Let h = j - 1.89. What is the closest to -0.2 in 5, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -102 - -197. Let l be (7 + -5)\/((-296)\/76 - -4). What is the highest common divisor of y and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 48*f**3 + 414*f**2 - 3888*f + 6561.\nAnswer: (f - 3)**2*(f + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97075038 is divided by 48537519?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -232\/373 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 32, 4192513 in ascending order.\nAnswer: 3, 32, 4192513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 650552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*u + 4*p + 14, -5*u = -2*p - 42. Suppose -3*i - a = i + 11, 5*i + u = -5*a. List the prime factors of ((-9)\/4)\/(i\/8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 232, 171, 14, -287, -780, -1513, -2534, -3891?\n\"Answer: -8*a**3 - 5*a + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 5*s - 13, 0 = -0*t - 4*t + s + 17. Suppose 4 = -0*a + t*a. What is the lowest common multiple of 22 and a\/(-5) + 22\/10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15626882, -15626875, -15626868, -15626861, -15626854, -15626847?\nAnswer: -15626840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 116*c**4 - 9*c**3 + 5*c**2 + 5*c - 421. Let x(g) = 231*g**4 - 17*g**3 + 9*g**2 + 9*g - 845. Let j(s) = 5*x(s) - 9*z(s). Differentiate j(f) wrt f.\nAnswer: 444*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.01, -0.1, 8, 0, 23, 0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -52*s - 442. Calculate y(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 18 - 2 = 0. Let o be k\/25 - 3758\/(-10). Let w be 4 - (o\/(-46))\/(-2). What is the second biggest value in 0, 1\/3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11232\/(-260))\/(-6)*-5*3*4\/(-36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 229*3.\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2200 at most 2092?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 920173073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2300011 - 23312?\nAnswer: -2323323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079057 is divided by 1630.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a - 92. Let n be (a\/(-8))\/(1\/4). Calculate the remainder when 37 is divided by -7 + 4 - (0 + n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 100, 399, 960, 1915, 3396, 5535, 8464, 12315?\n\"Answer: 22*t**3 - t**2 + 148*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 m when three letters picked without replacement from jmyknzkmmjj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = 2*s + 5*g, 17 = -0*s - s - 289*g + 292*g for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**2*v**(-1)*(v*v\/((v**(-2\/5)*v)\/v))**(-2\/15) assuming v is positive.\nAnswer: v**(17\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*c + 9008515 = 89*c. What are the prime factors of c?\nAnswer: 5, 9433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 872\/(-288) + 45\/9 and -23\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gll when three letters picked without replacement from pglppllgl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(3*sqrt(5))*-1)\/(sqrt(24)\/(sqrt(12) - (sqrt(12)*-2 + sqrt(12) + sqrt(12))) + (sqrt(162) + (sqrt(162)*1 - sqrt(162)) - sqrt(162))).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 - 350224*h**2 - 2101398*h - 3152124.\nAnswer: 2*(h - 175118)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72124 + -72124.000134827. Round f to six decimal places.\nAnswer: -0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5675 - -5680. Let z = 4 - 4.4. What is the second biggest value in -5, -10, x, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 7:32 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 - -29) + -16 + 34 + -43?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-7 + 49)\/(-6) - 16\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2721*j**2\/2 + 277063095*j\/2 - 458208.\nAnswer: 3*(j + 101824)*(907*j - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991779431?\nAnswer: 14411, 68821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + h**2 - h**4 - 2*h**4 + 18*h**4 + 7*h**4 + (3*h + 3*h - 4*h)*(0*h**3 - 2*h**3 + h**3) - 2*h**4 + 0*h**2 + 0*h**2.\nAnswer: 18*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(78)\/(sqrt(24)*-2))**2.\nAnswer: 117\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -3*a - 27, -71*v + 3*a - 93 = -78*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 39870*j - 540. Let l be c(2). Round l to the nearest one thousand.\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-89*t + 48*t - 24*t**2 + 43*t)*(4*t + 4*t - 6*t).\nAnswer: -48*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 + 74. Let x be (g + (-36)\/14)\/(3\/(-14)). Is 15 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2773, -3612, -4995, -6922?\n\"Answer: -272*l**2 - 23*l - 2478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-5)\/(-20))\/(7\/(-28))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -43. Let z = -8219240338.99999847 + 8219240304. Let f = z + d. What is f rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 - 5*x**4 + 1 - 1 - 2*x**4 - 4*x**4 + 4*x**4 - 28*x**4 + (3 + 0 - 1)*(-2*x**2 - 2*x**4 + 2*x**2).\nAnswer: -39*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w)**(-2\/41)*(w*w**(-2)\/w*w*w)\/(w*(w\/(w*w**2\/w*w))\/w) assuming w is positive.\nAnswer: w**(80\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 1318 = -1326 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/2 + 69825*g**4\/2 - 837612*g**3.\nAnswer: -g**3*(g - 69801)*(g - 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8*x = 3*x + 24, a - 14 = -3*x. Suppose t + 2 = a*k - 7, 0 = -2*k - 4*t - 16. Solve -2*f + 4*h - h + k = 0, -3*f - 2*h + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 7:58 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 99 and 79068.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1171 + -1107. Calculate the highest common divisor of 56 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose -m*t = -t. Suppose -2*a - a = t. Solve -1 = c - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x**3 + 44*x**3 - 16*x**3 + 2*x**2 - 23*x**3 + 19*x**3.\nAnswer: 5*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 30*k - 114 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 608.4499 litres?\nAnswer: 608449.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 40*h**2 + h - 2. Let t be o(1). Suppose -t + 3 = -18*l. Sort 12, -7, 0.5, l in descending order.\nAnswer: 12, l, 0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131 - 131.15. Is q less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s + 23. Let n be o(-13). Let p(y) be the second derivative of y**3\/3 + 5*y**2\/2 + 175*y + 1. What is p(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -8*s**5\/3 - 19*s**4\/4 - 21*s**2. What is the second derivative of t(k) wrt k?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*1\/(-8) + (-3)\/8. Suppose k*q = 2*q - 3*s - 8165, 4*q + 3*s = 16357. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3456*1.9.\nAnswer: 0.65664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -22*h**2\/23 - 689438*h\/23 + 689460\/23 = 0?\nAnswer: -344730\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61950872?\nAnswer: 2, 7743859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -864*z**5 - 2160*z**4 - 504*z**3 + 2156*z**2 + 1372*z = 0. What is z?\nAnswer: -7\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 408 = -2*p + 2638, 0 = z - 3*p - 633. Calculate the lowest common multiple of 238 and z.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - 0 - 272\/(-4). Let m = 82 + d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 divided by 723?\nAnswer: 469\/723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, x: 2}. What is prob of sequence axx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2236962, -4473882, -6710800, -8947716, -11184630, -13421542, -15658452?\nAnswer: -17895360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6659\/5 + 1344. Let x = 37\/3 - r. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.6? (a) 0.4 (b) -3\/4 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -321.31 * 2\nAnswer: -642.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 3 + -2 + 75. Suppose -r = -k + 16. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, t: 1, m: 3, i: 4, r: 1}. What is prob of picking 1 j and 2 m?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1\/8 (c) 17696\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*o - 16, -2*c + o + 7 = 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(0 + 0 + 1)*(4*o - 4*o + o**2)*(1 + 6 - 2).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -9. Let o = v - 3. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*o + 607091, 43*o + 202357 = c + 41*o. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - 2?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -4*w**2 + 486*w - 1885. Determine p(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -38 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -85843000 to the nearest 100000.\nAnswer: -85800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.05 + 0.31. Let k = t + -3.36. Which is the second biggest value? (a) 5.9 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -5*k**7\/42 + 3*k**5\/4 - 5*k**4\/6 + 8*k. Factor s(l).\nAnswer: -5*l**2*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, p: 1, q: 7, g: 3}. What is prob of picking 1 t and 1 q?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*a = 52, -5*d + 4*a = 5*a - 36. Let o = -6 + d. Find the third derivative of -2*w**5 + 4*w**2 - 4*w**2 - w**5 - 2*w**o wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 906748 a multiple of 571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -106 - 18. Suppose 3 - h = -2*j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/140 and -151\/18.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30, 77, 196, 333, 494, 685?\nAnswer: 912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*v**4 - v**2 + 2*v**4 - 10*v**4 - 2 to h*v**3 + i + s*v**4 + q*v**2 + t*v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 454754.\nAnswer: -1\/454754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13356070.\nAnswer: 2, 5, 7, 13, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2832*z**2. Let m(t) = -t. Determine l(m(n)).\nAnswer: 2832*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0325 - -3977271.\nAnswer: 3977271.0325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33838 - 33838.2. Let f = -146\/5 - -29. What is the closest to f in 2\/17, 3, p, -0.01?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295*r**2 + 888*r**2 + 1456*r**2 + 134*r**2 - 521*r**3 + 432*r**2 wrt r.\nAnswer: -3126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36052*i**3 + 1343*i**2 - 6 wrt i.\nAnswer: 216312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8222*y - 3011*y - 2354*y to the form j*y + n and give j.\nAnswer: 2857","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3 + 33*d**2 - 34*d = 0.\nAnswer: -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4*b**2 - 65*b - 8. Let s be c(-16). What is the common denominator of 3\/52 and (s\/(-96))\/(1*(-6)\/(-621))?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 - 20887*w**2 - 2669440*w - 256135168\/3.\nAnswer: -(w + 64)**2*(w + 62533)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/2*(-4)\/6. Let d = -1 + -2. Suppose 24*l - 20*l - 16 = 0. Sort d, j, l in increasing order.\nAnswer: d, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**3 - 5*s**3 + 0*s + 0*s.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2\/5 + 271227*w + 9492896\/5 = 0. Calculate w.\nAnswer: -1356128, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3094197 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-27 + (-37 - -44))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -25 - 10\/3*c**3 + 12*c**2 - 1\/3*c**4 - 18*c. Let l(j) be the first derivative of f(j). Find n, given that l(n) = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1036725 + 1.71940397.\nAnswer: 1.61573147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**7\/1260 - v**6\/180 + v**5\/60 - v**4\/36 + v**3\/3 + 2*v**2. Let n(w) be the first derivative of h(w). Factor n(i).\nAnswer: 2*(i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - s + 40*s + 24*s - 6.\nAnswer: 63*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 305, -0.018, 5?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10440 divided by 3480?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4 - 1 + 5*c - c + c**2 - 6*c + c**3. What is the tens digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (137\/4795)\/(92\/140).\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03414 to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*v**4 + 3*v - 11*v**4 - 18*v - v**2 + 14*v to the form q*v**3 + t*v**4 + j*v**2 + r*v + b and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 2*n - 284, -531 = -3*s + 5*n - 97. Suppose 0 = 2*w - r - 0*r - s, -w + r = -69. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.48 and 2.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -8091, -0.1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxv when three letters picked without replacement from vxlvx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3830092.8 to the nearest 1000.\nAnswer: 3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/36 of a day?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*c - 21 = 70*c. Suppose 2*h + 442 = t, -16*t - c*h - 1783 = -20*t. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2. Let i(j) be the first derivative of j**4\/8 - 29*j**2\/2 - 5. Let q(g) be the second derivative of i(g). Calculate q(v(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/2 (b) 2\/5 (c) 0.3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -25*y**4\/4 - 1157*y**2. Let m(u) = 3*u. Calculate m(d(j)).\nAnswer: -450*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*b**3 + 60*b**2 - b + 3512 with respect to b.\nAnswer: 33*b**2 + 120*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18175613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 156083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -100010111101001011110 (base 2) to base 16\nAnswer: -117a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 10*y**2 - 153*y + 380. Determine p(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 - -386. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 206\/9 - 23. Put 0.2, o, -1\/4 in decreasing order.\nAnswer: 0.2, o, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*l = 697*l - 150 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*b - 2, -2*b + 0 = 4*c + 2. Let p(q) = -q**2 - q + 6. Let g be p(c). Solve -6 = g*d - 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 6) in base 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17323567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9\/d*d\/d**(-3)*d*d**9\/d*d*d*d**2 assuming d is positive.\nAnswer: d**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -217*t**6\/120 - 49*t**5\/60 - 537*t**2. Let y(j) = -9*j**3 - 2*j**2. Determine -2*m(d) + 49*y(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42.874055008 - -0.125943472. Let c = -43 + u. Round c to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.418 + -1.118. Let f be 2\/(-5) + (-412)\/(-1005). Let q = -217\/1608 + f. Put l, q, 0 in decreasing order.\nAnswer: l, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 177. Let a = 192 - o. Solve -a = -3*b + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 7 + 7 = 0 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**4\/12 - 8*x**3\/3 - 8*x**2. Calculate the remainder when t(-15) is divided by (2\/5)\/((-3)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.79228 - -2.4632. Let k = -0.674 + s. What is k rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936183?\nAnswer: 1936183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564.533605 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-2 - 2)) + 1. Suppose u*l - 11 = 1. Is (l - (-21)\/(-9))*27 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 496?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**3 + 1002*z**2 + 3*z + 10. Let y(i) = 3*i**3 + 1004*i**2 + 4*i + 15. Calculate 3*j(h) - 2*y(h).\nAnswer: 3*h**3 + 998*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12775, -12680, -12575, -12454, -12311, -12140, -11935?\nAnswer: -11690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 985059295 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10 (b) -6\/7 (c) -2\/7 (d) -0.5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 + 7 = 0. Suppose 2*t - 7*t + 20 = 0. Suppose 3*q + 19 = -t*h + 5*h, 5*q - 3*h + 37 = 0. Put m, q, -3 in decreasing order.\nAnswer: -3, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/(p*p\/(p\/(p*(p\/p**2)\/p*p)*p)))\/p**(3\/8))\/(((p**(-2\/23)*p)\/p)\/(p**(6\/7)*p)))**(-22))**(-2\/79) assuming p is positive.\nAnswer: p**(36399\/25438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(6\/6*-26)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110 is divided by 378.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 43*h = -21. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.4 (b) -328 (c) 3 (d) -2\/9 (e) -1\/56 (f) 0.7 (g) -1.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.1, -3262, -2\/7, -6, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 4*g**2 + 5*g - 7. What are the prime factors of m(-10)?\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1909, 1919, 1929, 1939, 1949, 1959?\n\"Answer: 10*o + 1899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1106 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r**2. Let i(s) = -15*s - 216. What is j(i(m))?\nAnswer: 675*m**2 + 19440*m + 139968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epyp when four letters picked without replacement from {u: 1, p: 4, y: 1, e: 1, j: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of 13*r**6\/60 + r**5\/30 - r**4\/12 - r**3\/6 + 4*r**2. Let t be n(2). Let s = -118 + t. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 2*n + 7. What is u(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-8)\/128*-204.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 26. Let j be n(-14). Let w be 84 + 0 + -1 + 1. What is the highest common factor of w and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -644, -630, -592, -518, -396, -214?\n\"Answer: 2*h**3 - 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 6 = 7*l. Suppose -3*s = -2*s - l. Sort 4, -3, s, -10 in increasing order.\nAnswer: -10, -3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 4*h**2 - 3*h + 2. Let z = 27 + -39. Let o = 60 + z. Let l = 45 - o. Determine b(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10328497 by 1.\nAnswer: 10328497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + 0 + (-492)\/240 and 21\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16794533 is divided by 4385.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, s: 2, c: 13}. What is prob of picking 2 c and 1 s?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + -3. Calculate the remainder when 51 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 32 - 8 = 0. Suppose -13*d = -9*d + 112. Let u be (-120)\/(-14) + b\/d. What is the greatest common factor of u and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -175 + 145. Let k(r) = -r**2 - 34*r - 4. What is the remainder when k(z) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141076297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v + 214 + 3*v + 2*v - 202. Let l(u) = -u - 1. Let f(k) = 6*k - 2. Let d be f(2). Give d*l(y) + q(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 0.1 (c) 44\/7 (d) 19 (e) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1. Let t(m) be the third derivative of 11*m**5\/60 + 2*m**3\/3 + 9*m**2. Let a(o) = 4*k(o) + t(o). Differentiate a(n) wrt n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1842, -3676, -5510, -7344, -9178, -11012?\nAnswer: -12846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 12:01 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 145 = 97. Calculate the remainder when 414 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18706813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64556245 (base 7) to base 16.\nAnswer: -5413c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9999, -13111, -16225, -19341, -22459?\n\"Answer: -c**2 - 3109*c - 6889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 33 = 2*i + 7, 4*i = 16. What is the highest common divisor of t and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10\/7*r**3 + 0*r - 2\/7*r**5 + 0 + 8\/7*r**4 + 4\/7*r**2 = 0. Calculate r.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + d - d)*(28 - 6 + 6) + 3*d + 2*d - 2 - 4*d.\nAnswer: -55*d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-5)\/20)\/(4\/(-8))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(28)*-2)\/(3*(sqrt(4) + sqrt(36)) + sqrt(4) - sqrt(4)) + 0 + 4)**2.\nAnswer: -16*sqrt(7)\/3 + 172\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356 - 351 + 1791 - 360 - 364 - 366 - 3*q.\nAnswer: -3*q - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -15*l + 20. What is the tens digit of l - (24\/56 - (-2229)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, 0.007, 2, 4, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*d = -2*d - 171 - 117 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 + 44*w - 4. Let l(v) = 16*v**2 - 134*v + 14. Give 4*l(b) + 13*s(b).\nAnswer: -b**2 + 36*b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) - (sqrt(91) + sqrt(91)*-1 + sqrt(91)) - sqrt(91)) + sqrt(91))*5)\/(sqrt(448)*3 - sqrt(448)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 12) in base 9?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 19*a + 27. Let w be t(18). Is w at most as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778038 a multiple of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 306 and 714.\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 6, b: 2, z: 11}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**8\/a)**(-16))**(-8) assuming a is positive.\nAnswer: a**1024","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1))**(-1\/4)*k**6*(k\/(k*k**(-2\/9)*k))\/k assuming k is positive.\nAnswer: k**(161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 22*a = 27 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*t - 61 + 5. Suppose 4*p = 0, t*j - 2*p = -j + 15. What is the highest common divisor of 6 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4066c2 (base 15) in base 2?\nAnswer: -1011101010111001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 18*b**2 - 50*b + 250. Is m(4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*y + w, 4*w - 25 = -3*y + 1. Let c = -13 + y. Let n(a) = 5*a - 21. Let l(r) = 0 + r - 4 + 0. Give c*l(q) + 2*n(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Put -3, 6, t in increasing order.\nAnswer: -3, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 109*b - 23\/3*b**3 + 1\/10*b**5 + 7\/12*b**4 + 0 - b**2. What is the second derivative of j(y) wrt y?\nAnswer: 12*y + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 42 (b) 4 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6336 and 3744?\nAnswer: 82368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 11, l: 2, g: 4, f: 2}. What is prob of sequence lgjj?\nAnswer: 55\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 32 = 3*c, 5*c + 11 = 4*f - 49. Let a(w) = 2*w**2 - 11*w - 23. Let s be a(f). What is the greatest common divisor of 536 and s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvvwjvjjvv. What is prob of picking 2 v, 1 w, and 1 j?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*h - 12 = 0, 0*b + 20 = 2*b + 3*h. Find the third derivative of 2*a**4 - a**5 - a**5 - 2*a**4 + b*a**2 wrt a.\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 46*k + 7*k + 43*k + 32*k + 59*k. Let l(v) = -4*v. Give l(g(u)).\nAnswer: -748*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1035, 1032, 1029, 1026, 1023?\n\"Answer: -3*r + 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -4.7?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -11157*i - 14. What is the hundreds digit of k(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003845765029 to five dps.\nAnswer: -0.00385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 3*f**2 + 69*f + 3. Let v(a) = 5*a**2 + 68*a + 4. What is 4*b(p) - 3*v(p)?\nAnswer: -3*p**2 + 72*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, b: 6}. Give prob of sequence iii.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3049 and -5.6?\nAnswer: 1.70744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 0 + 0)*(-11 - 3 - 3)*(4*x**3 + 2*x**3 + 5*x**3).\nAnswer: -374*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*((-1)\/(-3) - 20\/(-3)). Let p be 1 - (2 + 24\/(-2)). Let s = i + p. Do s and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1425 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 - 3. Suppose 15 = -5*u - k. Let a(q) = 2*q + 14. Let l be a(u). Let r(s) = 3*s**3 - 3*s**2 + 2*s. What is r(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 403288626130 and 5.\nAnswer: 403288626135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 563461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*o - 53*o - 24 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwlwwwww.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-270) + 7\/25 + 23744\/700 + -34?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 + -1 - (-43724)\/2572.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:00 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 12 = -0. Let z(w) = -10*w - 4. Let n(d) = 11*d + 5. Let k be (16\/20)\/((-1)\/5). Let a be k - 4\/(12\/3). Determine a*z(v) + g*n(v).\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31600 by 5.\nAnswer: 6320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 1, -4*z + 3202 = -2*h. Suppose 3*d + z - 2182 = -5*r, 2*d - 944 = 4*r. Is d a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*5\/(10\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -282127763 or -282127764?\nAnswer: -282127763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 249392 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 55*o**3 + 2*o**2 + 6*o - 8. Is z(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 112 - 120. Let t(g) = -3*g - 15. What is t(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 5 + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6529666148\/553 + 11807710. Let o = -24\/79 + t. Let x = -4441\/5 + 892. Find the common denominator of o and x.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2.3, -5 in descending order.\nAnswer: 4, 2.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 1256392*y**2 - 98657553604*y.\nAnswer: -4*y*(y + 157049)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 493, 465, 435, 403, 369?\n\"Answer: -t**2 - 25*t + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.854442339 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -103, -155, -151, -91, 25, 197?\n\"Answer: 28*m**2 - 136*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 - 26?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*i - 67 + 161 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1365915 take away 1?\nAnswer: -1365916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 9*a - 2994. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/5 + 375157*y**4\/5 + 35181378956*y**3\/5 - 809371686928*y**2\/5 - 28145103168*y + 647496149040 = 0. Calculate y.\nAnswer: -187590, -2, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3895424 divided by 832?\nAnswer: -4682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/(-420)*(-3)\/(-3)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 3*r - 1414*r**2 - r + 1459*r**2 as p*r**2 + g + w*r and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**5\/15 + 13*q**4\/6 + 44*q**3\/3 + 5*q**2. Factor p(f).\nAnswer: 4*(f + 2)*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + k + 4*k)*(2*k - 2*k + k) + 2*k**2 + 0*k + 0*k - 3*k**2 + 3 - 3 + (2*k + 2*k - 5*k)*(0*k + 3*k - 4*k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*g = 41*g - 48. Suppose 0 = -4*t + g*t - 1000. Suppose 6*h - 5*h - t = 0. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 5:00 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5826185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4027 is divided by 1291?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13\/3)\/(1\/6). Let w = l + 81. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**32\/(n*n**(-4\/25)) assuming n is positive.\nAnswer: n**(779\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1285*p + 785*p + 1975*p + 804*p)*(4*p - p - 2*p).\nAnswer: 2279*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.03 - 8. Let i = o - 0.17. Let h = i - -0.04. Which is the nearest to -1? (a) 3\/8 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**17\/t)\/(t*t**25))\/(t**(-1)\/t**(-2\/17)))**(-41) assuming t is positive.\nAnswer: t**(6355\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 q when two letters picked without replacement from mrulummoqqom.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h + 0*h + h + (0 + 0 - 2)*(1 - 5 + h + 2).\nAnswer: -5*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 164 and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/4 + p**3\/3 - p**2\/2 + 2*p + 1. Let i be d(0). Solve 0 = -2*q + i + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((-5)\/6)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**2 assuming q is positive.\nAnswer: q**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 = o + 144 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1073435*x**2 + 867909 wrt x?\nAnswer: 2146870*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3)*2*2 + (-4*sqrt(3)*2 - (sqrt(3) + sqrt(243)*2)))**2.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 250 - 351. Let r = -107.6 - l. What is r rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-49) - (1 - 1 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a meter in centimeters?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1440.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -261 - -644. Suppose m*y - 4 = 382*y. Let -5\/4 + 5\/2*r**3 + 5\/2*r**2 - 5\/4*r**5 - 5\/4*r**y - 5\/4*r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:13 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 5. Let d(s) = 9*s + 11. Let v = -59 + 34. Let m be (45\/v)\/((-3)\/10). Determine m*d(b) - 13*f(b).\nAnswer: 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.32 in 2, -0.3, -35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgccgg. Give prob of sequence cgg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 97405 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = -109 - 3 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/(-49)*((1 - 6) + 6)*7. Determine h so that 90\/7*h + 0 + 2\/7*h**x + 22\/7*h**3 + 78\/7*h**2 = 0.\nAnswer: -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -92. Does 57 divide 2\/8 + 12535\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 224, 263, 344, 473, 656, 899, 1208?\nAnswer: 1589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 + -0.25. What is the nearest to i in 4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2. Let j(f) = -f**2 - 5*f - 5. Let g(r) = 1 + 0*r**2 + r**2 - 3*r - 2*r**2 - 4. Let n(w) = -5*g(w) + 3*j(w). Give n(v(m)).\nAnswer: 162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.6 and -1196990?\nAnswer: 1196994.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 - 13104*v**4 - 21581922*v**3 - 385022596*v**2 - 1281526488*v - 1195408368 = 0 for v.\nAnswer: -3267, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = -k + 2, 5*m + 18 = -2*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-33))\/((10101\/(-91))\/(-2442))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*o**2 - 22935*o**3 + 483*o**2 - 3*o.\nAnswer: -22935*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 7*v + 1. Let g(t) = -t - 1. What is -6*g(j) - 3*w(j)?\nAnswer: -15*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Let j = t + -6. What is the closest to j in 3, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40070 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 152, -1.\nAnswer: -4, -1, 4, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 155 + -85. Let b be (18\/(-21))\/((-45)\/q). Is b less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/114144264 and 89\/28536066.\nAnswer: 114144264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2093 (base 12) to base 13.\nAnswer: -1815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -469, -355, -161, 113, 467?\n\"Answer: 40*b**2 - 6*b - 503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaz when three letters picked without replacement from apzzzpppkaaeaaz.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 78*t**4\/11 + 1902*t**3\/11 + 5238*t**2\/11 + 462*t + 1668\/11.\nAnswer: 6*(t + 1)**3*(13*t + 278)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2317 - -2325. Let a be (10\/4)\/((-1)\/(-6)). Suppose -q*g = -5*g - a. What is the remainder when 13 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 9. Suppose 3*i + w = -i. Let f = i - -4. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310, -352, -404, -472, -562, -680, -832?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1070.5 from 0.08416.\nAnswer: -1070.41584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6821 - 6827 + 13650 - 25*k. Let g(d) = 3699*d - 297. Determine 2*g(c) + 297*u(c).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*c - 2*j + 58, -5*c - 3*j + 148 = 0. Calculate the remainder when 94 is divided by c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (1 - (-6)\/(-18)*51). Let s be 16\/x*(-43)\/86. Factor -6\/7*k**2 - 10\/7*k - s.\nAnswer: -2*(k + 1)*(3*k + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 + 335*g - 1321. Calculate z(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 1. Let k be q(-1). Let a = k + 0. What is the derivative of a*l + 1 + l + 0*l wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 + (-5 + 0 - (4 + -10)) + -37).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, p: 4, q: 4, h: 2, e: 5}. Give prob of sequence ph.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/15 + (180\/(-27) - 0). Sort 9, v, -1, 4, 3 in increasing order.\nAnswer: v, -1, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 23*k**2 - 22*k + 32. What is the units digit of l(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen tenths of a millisecond?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-462)\/(-288)))\/(13\/39 - (-50)\/(-105)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17558894 divided by -19.\nAnswer: 17558894\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 x when four letters picked without replacement from ejfzbzexbefxxbze.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 159835, 159864, 159907, 159958, 160011, 160060, 160099, 160122?\n\"Answer: -s**3 + 13*s**2 - 3*s + 159826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -1d?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 19\/4. Suppose 16 = 4*m, 6*d - 92 = 4*d - 4*m. Let a = d + y. Calculate the remainder when a is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -4)*(-33)\/132.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790395 is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v. Let l be q(2). Let a(r) = -r**2 - 3*r + 4. Let t be a(l). Suppose t = z - 1 - 11. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*t**2 - 5*t**2 + 1)*(-17 + 50 - 4).\nAnswer: 29*t**2 + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4269 and -0.03?\nAnswer: -128.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-385)\/924*(-12)\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -456 + 446 - (0 - 25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 774168?\nAnswer: 774168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13300348 or -13300343?\nAnswer: -13300343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -296 + 431. Let d = 391 + l. Calculate the remainder when d is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31329979*b - 28614024 wrt b?\nAnswer: -31329979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120528 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: Simplify ((p\/(p\/p**(-4))*(p\/(p\/(p*p\/((p\/((((p**4*p)\/p*p)\/p)\/p))\/p))))\/p*p)**(3\/4))**(-1\/12) assuming p is positive.\nAnswer: p**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585940, 1171852, 1757764, 2343676, 2929588, 3515500?\nAnswer: 4101412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246290643*q**3 - 6902526*q**2 - 2*q - 2 wrt q?\nAnswer: -1477743858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -289*f**3 - 4458182*f**2 + 7868055*f - 3471300 = 0.\nAnswer: -15428, 15\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 1 (c) -2.1 (d) 0.3 (e) 258\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*h + 2137, -2*v + h = 543 - 1986. List the prime factors of v.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 77. Let w be 8\/(-6)*(-27)\/(-3). Is 409 + (w\/4 - t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -173189617\/16 + 10813705. Let l = r - -10651. Calculate the common denominator of l and -38\/21.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2 (b) 0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + (sqrt(500) - (sqrt(500) - sqrt(500)*-1)) + sqrt(500) + sqrt(500)*2 + 3))**2.\nAnswer: 360*sqrt(5) + 18009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/7)*c*(c\/c**(-9\/2))\/c)\/(c**(-15\/2)*c*c**(-4\/9)) assuming c is positive.\nAnswer: c**(739\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + w + 29 - 12, 2*w = 6. Suppose -2 - 18 = -4*r. Suppose -10 = -r*p + d*p. Solve 5 = y + p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 1 b when three letters picked without replacement from {b: 1, q: 2, f: 10, m: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*m**4 + 2*m**2 - 2847*m wrt m.\nAnswer: 1092*m**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 - 35*y + 35*y as p*y**2 + g + j*y and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -92 + 96. Solve 3*r + 11 = -z*k - 7, -r = 2*k + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307002 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*v + 20, -3*f - 2*v + 0*v = -25. Which is the closest to 2\/23? (a) f (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/6 + 10*n. Let i(g) = g - 2. Let s be i(3). Suppose j + 0 = -s. Determine x(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*g - 5*x, 3*x - 21 = 1012*g - 2031*g + 1015*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -12 + 6 + -34 + (13 - 12).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1149 + 0)\/((-60)\/80)?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 7*h + 100. Suppose -5*f - j + h = 0, 2*f - j + 8 = 4*f. Let g(b) = b**2 - 2*b + 1. What are the prime factors of g(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 11*r + 2. Let c(d) = -21*d - 5. Let s(t) = 2*c(t) + 5*m(t). Let f(j) = -j. Let p(n) = -6*f(n) - s(n). Let k(g) = -g. What is p(k(l))?\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232*g**3 - 499*g**3 + 168*g**3.\nAnswer: -99*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7 - 2*h**2 + 3*h**2 - 7*h - 1. Let t be o(8). Suppose t*s - 6 = -3*s. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (2 + 0))*0. Suppose 5*v - 3*v - 4 = t. Suppose 3*b = 5*g, -5*g + 34 = -v*g + 5*b. Solve 0 = g*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let b = -3 - z. Let w(i) = -2*i**3 + 3*i**2 + 3*i + 1. Suppose -2*p = 9 + 7. Let m(g) = 5*g**3 - 8*g**2 - 8*g - 2. Determine b*m(x) + p*w(x).\nAnswer: x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -2)*35\/(-10). Suppose -5*r + 4*a = -147, -r + 12 + d = -2*a. Calculate the greatest common factor of 36 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163993.\nAnswer: 163993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueed when four letters picked without replacement from deeduhudedhddeedhuh?\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 70 - 137 = 0. Let j be (-43)\/3 + 92\/h. Let x(m) = -m**3 - 12*m**2 + 12*m - 9. Let c be x(j). Solve u = 5*u - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x**(4\/5)*x)*x)*x*x*x)**(5\/12)\/(x**(1\/2)*x**(-5\/6)) assuming x is positive.\nAnswer: x**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f - 9 = 0. Let q = f - -15. Find the third derivative of 51 + 5*b**2 + 9*b**q - 51 wrt b.\nAnswer: 1080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 41 = -5*o, 0 = -66*o + 67*o + 2*m - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/((-162)\/8)*(-2)\/(16\/(-42))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2401 + 4614 + 31*o - 2213 - 34*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1093.44 + -1035. Let y = u - 0.44. Let q = 59 - y. Which is the fourth smallest value? (a) 1\/3 (b) q (c) -11 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 28707 and -0.0747.\nAnswer: 28706.9253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v**2 + 8*v**2 + 4*v - 3*v + 1 - 2*v. Let i be s(1). Suppose 3*o - 6 = o. Sort 1, o, i in descending order.\nAnswer: o, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*j + 195*j - 40 = 0. Which is the third smallest value? (a) 5 (b) j (c) 1 (d) 0 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -151*x**2\/3 - 140273*x\/3 + 1858.\nAnswer: -(x + 929)*(151*x - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 678846 divided by 6.\nAnswer: 113141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 1. Suppose -4*y = 9 + 7. Let h be ((-6)\/3)\/(y\/(-6)). What is the third biggest value in h, 0.2, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let h = 14.1 - 14. Sort h, n, 4 in ascending order.\nAnswer: h, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - p - 2. Let t be 2\/(-2)*(p + 19). Let r = t + 27. Solve 2*x = 2*h + r, 2*x + 3*h - 21 = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11094*o**3 - 2*o**2 - 11*o + 4. Let w be m(-4). What is w rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1424 + -324100233?\nAnswer: -324102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/14)\/((-38)\/133). Let j = 2 + 2. Sort j, -5, g in ascending order.\nAnswer: -5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3734231*i + 62394209 with respect to i.\nAnswer: -3734231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 6:33 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1322738?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 - c - 7. Let j(x) = -x**2 + x + 72. Let h be j(-8). What is f(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84219394 to the power of 1\/2, to the nearest integer?\nAnswer: 9177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-16))\/(63\/(-27)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: What comes next: -1288, -2484, -3680?\nAnswer: -4876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/14*(-4)\/10*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. What is the remainder when 3 is divided by (j\/5)\/(2\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-28)\/(-21))\/((-1)\/(-3)). Let o(n) = n**3 - 4*n**2 + n - 2. Let u be o(z). Suppose u*f - 48 = -2*f. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((75\/(-5))\/120*-3)\/((-3)\/1).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0\/u**(1\/9))\/((u\/(u*u**(3\/5)))\/u**(-2\/17)) assuming u is positive.\nAnswer: u**(284\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 8*v**2 - 2*v + 8. Let a(b) = 2*b**2 + 1. Let z(f) = -4*a(f) - r(f). Determine z(3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1093, -1064, -1035?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 107 = 3*i, 210*a = 9*i + 215*a - 331 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:59 AM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a**6 - 3*a**5 - 135*a**2 + 1.\nAnswer: 360*a**3 - 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 - 565 = 95*t. Which is greater: 7\/170 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.574+296\nAnswer: 297.574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288*o - 809 = 631. What is the highest common factor of o and 505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 = -163*g + 2932 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*g - 5. Which is greater: g or -0.34?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 587*x**4 + x**2 - 19.\nAnswer: 14088*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**4\/12 - 7*i**3\/6 + 5*i**2 - 9*i. Let g be m(-8). Solve 0 = g*q + q - 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 108630000 to the nearest one million.\nAnswer: 109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*4*1\/8. Let d = c + 0. Let k(n) = -11*n + 8*n + 6 + 4*n. Give k(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8801831?\nAnswer: 47, 187273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-325494)\/2910180 + (-1)\/(-70)?\nAnswer: -4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89\/80 - -17\/15. Let a(y) be the second derivative of -2*y - u*y**4 + 0 - 1\/8*y**2 + 1\/12*y**3. Let a(q) = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 13*o**2 + 17*o + 44. Let z be l(-14). Let m be (-3 - (-5)\/2)\/(z\/(-8)). Solve 2*v = -m*t + 18 - 4, -10 = -5*v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13215 and -12833.\nAnswer: -169588095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.409 + -0.509. What is the closest to 1\/3 in 5, w, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/25, -1, -0.3, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(156) + sqrt(156) + sqrt(156)*-2*4 - sqrt(156))*3)\/((sqrt(768) - sqrt(768)*2*2) + 5*sqrt(768)*-2).\nAnswer: 105*sqrt(13)\/104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3956 and 860.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 539038, 1077974, 1616908, 2155840, 2694770?\nAnswer: 3233698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 2*f - 36, q + 4*f - 8 = -q. Let r = 134 + -95. Calculate the remainder when r is divided by (-3)\/(-15) - (-198)\/q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = m, -2*o - 11 = 3*m - 0*m for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4078, -8137, -12170, -16165, -20110, -23993, -27802?\n\"Answer: 2*k**3 + k**2 - 4076*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 9, j: 5}?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgrg when four letters picked without replacement from {r: 2, g: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -44786 - -44764. Let l = -0.59 - -0.09. Let t = -1.96 - 0.04. Which is the smallest value? (a) s (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 5:53 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2184 + 13*j**2 + 2184 - j**2.\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -1 - (-68)\/64*-4. Suppose 25 = -22*j - 3*j. Which is the nearest to j? (a) w (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47\/((-5217)\/74) + 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1018 + 1060. Calculate the greatest common divisor of 17052 and h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6980, 6979, 6978, 6977, 6976?\nAnswer: 6975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -439 - -439. What is the closest to 1 in 0.2, -4, a, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -184 + 9?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5 = -3. What is the greatest common divisor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by 8.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4354530 (base 6) in base 2?\nAnswer: -110101000110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -879*x**3 - 2*x - 6683 wrt x?\nAnswer: -2637*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 4*i. Let a(u) = -4*u**2 - 17*u. Let x = -4 - 0. Let w(n) = x*a(n) + 18*p(n). What is the second derivative of w(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(8\/(-12)*-27).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -4 + 3 - 0. Let c = 3 - j. Suppose -c*w + 9 = w. Solve -w*m = -0*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (8 + 5 - (18 + -10) - 1) - -26.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 392010401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69377*f*n**2 - 21*f*n + 2*f - 10*n - 1 wrt n?\nAnswer: -138754*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 412 and 12154?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/35)\/s)\/s)**(1\/67) assuming s is positive.\nAnswer: s**(-68\/2345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10 - -180?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/83 and -11\/10281?\nAnswer: 853323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6722824 is divided by 110.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 40*z**2 - 8*z + 730. Give p(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/56308 and -27\/448.\nAnswer: 900928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1))**(-1\/2))**(17\/3) assuming w is positive.\nAnswer: w**(17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 20*v - 74. Suppose 22*p - 26*p - 96 = 0. What is the lowest common multiple of f(p) and 192?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a minute in seconds?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 3*o - o)*(-8*o**2 - o**2 + 3*o**2 + (5 - 2 - 1)*(-o**2 + 2*o**2 - 2*o**2)) as t*o + f*o**3 + j + m*o**2 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/(-209)*(626\/313)\/(3\/5)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4008 = 415*m - 14383 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22998666497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43361105.\nAnswer: 5, 199, 43579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by 59.\nAnswer: -81\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 4*o**2 - 10*o + 20. Let r be l(4). Suppose t + r = 10*t. Solve 2*n + 5*c = 12, n = 5*c - 3*c - t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*v**3*y**2 + 1354*v**3 - 1201*v**2*y**2 - 2*v**2*y + 2*v**2 + 4*v*y - v - 2091*y**2 - 73*y wrt y?\nAnswer: 6*v**3 - 2402*v**2 - 4182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -15*r**3 + 39*r**2. Let z(v) = -8*v**3 + 19*v**2. Calculate 5*d(h) - 9*z(h).\nAnswer: -3*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*v + 0*v**2 - 7*v**2 - v - v**2 wrt v.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 931?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 38. Give h(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2071952 less than -20?\nAnswer: -2071972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*h + 1084, 5*q - 6*q + 5*h = -512. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = 6*v - 2. Let n = -93 + v. Calculate the highest common factor of 7 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2713 is divided by 227.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 46*v - 51*v)*(2*v**2 - v**3 - 2*v**2).\nAnswer: 5*v**4 - 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 152220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 230368249 and 230368252 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1753097128?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 9*u + 19*u)*(3*u**4 + 0*u**4 - 2*u**4) + (1 - 2 + 5)*(0*u + 0*u + 2*u**5).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -8\/21*x**6 + 32\/3*x**3 - 4\/7*x**5 + 17 + 31\/7*x**4 + 0*x + 24\/7*x**2. Suppose r(l) = 0. What is l?\nAnswer: -2, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12754 - -18771. Suppose -4*l + s + 5571 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11805 + 0.61805. Which is the smallest value? (a) -0.1 (b) -3\/2 (c) -0.2 (d) f (e) -92\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/199430 and -127\/163170.\nAnswer: 1794870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -65*(-19)\/380*112\/(-104)*-18\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.6, -444, 45, 2?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -18, -82, -202, -396?\nAnswer: -682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004322 rounded to 7 decimal places?\nAnswer: 0.0000432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:55 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 - -107. Let x = 550 + i. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 302*g**2 + g - 4. Let a be 2\/(2 + 16\/(-6)). Let n be h(a). Suppose -n = -5*m + 2*m - 5*k, -5*k = 2*m - 1804. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + h**2 + 5. Let l be y(0). Suppose -4*i = -5*x - 2*i + 2035, 4*x - l*i - 1628 = 0. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*g - 794 = 502 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 3*f**2 - 5*f - 4. Suppose -5*m = -2*q + 24, 3*m + 6*q - 2*q = -4. Let d be c(m). Let x = 6 - 9. Sort d, x, 3.\nAnswer: x, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55633.817 + 0.076343?\nAnswer: -55633.740657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3618 + 3297.8. Let w = i + 354. Let r = w - 34. Which is the closest to 1? (a) 0 (b) r (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxs when three letters picked without replacement from memsmxmhse.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -4*z + 12. Let x(d) = 2 + d**2 + 0*d**2 + 3*d - 2*d**2. Let o be x(z). Solve -w = -r - 1, 0 = w + o*w for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/528*-6)\/((-2)\/4)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/4*533\/2665?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1173*(-74)\/7548 + 2 + 14\/4.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.17243 - -1547.6\nAnswer: 1547.42757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 25 = 0, 0 = -2*c - c - 5*z - 106. What is c rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1243*n - 6224. Determine x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v**3 + 17*v**2 - 41*v - 2. Let x(i) = 11*i**3 - 36*i**2 + 90*i + 5. Let m(w) = 9*h(w) + 4*x(w). Calculate m(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2 - 2038896*w + 346424741568 = 0?\nAnswer: 339816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 12.9792. Let g = -0.06 + 0.08. Let h = j + g. Round h to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 87 - 7. Let j(t) = -3*t**3 - 24*t**2 + 16*t - 24. Let u be j(h). Round u to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 74. Solve 2*i = 4 + 2, 0 = -5*d - 4*i - s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143 - -119 - (1 + -21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 10*s**2 + 0*s**2 + 13.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*q = -20, -2*q + 55 = -l - 2*l. Let a = -29 + l. Let w = a - -87. What is the remainder when w is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -6e?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1 - -4. Which is the nearest to q? (a) 2\/3 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29164.\nAnswer: 2, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2200122033232 - -100?\nAnswer: 2200122033332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**0*t))\/(t**(-2\/11)\/t))**8)**34 assuming t is positive.\nAnswer: t**(3536\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.4 (b) -3 (c) -75 (d) -3\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 234, 238, 236, 222, 190, 134?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19134, 38285, 57464, 76677, 95930?\n\"Answer: m**3 + 8*m**2 + 19120*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 5*v - 12. What is the second derivative of -3*c**4 + v*c**4 + 4*c + 5*c**4 + 0*c wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -10*p - 128. Let s be o(-15). What is the highest common factor of 3069 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -70c?\nAnswer: 70e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/(9\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -4*o**3\/3 + o**2\/2 + o + 39. Suppose -1 = -3*w - 7, 18 = 4*k + w. Suppose -k = -3*g + 8*g. Determine b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.719, 1, 1\/3 in decreasing order.\nAnswer: 1, 1\/3, -0.719","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 10 + 15 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/7625 + 108323\/61000. What is the common denominator of 1\/16 and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(102)*-2*-4 - sqrt(102) - sqrt(102))\/((sqrt(24) - sqrt(6))*-2).\nAnswer: -3*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-72) - ((-64)\/(-6) - -2). Let y be 2*((-13)\/(-4) + (-3)\/p). Calculate the greatest common divisor of 28 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 + 8*l - 4. Let q be z(4). Let f(p) = 15*p**2. Let u be f(-1). Let a(d) = 5 + 5 + 4 - d - u. Calculate a(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -0.1, 0.5, 5, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.575973 years?\nAnswer: 0.0575973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus 69.5?\nAnswer: -68.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 9840 = -4*p. Calculate the greatest common divisor of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.024 - 0.456. Let r = z - -0.18. What is r rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157886 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*h + 125 = 0, 63 = 5*k - 4*h - 59. Let s be (-4)\/(-22) + (-202)\/k. Calculate the remainder when 7 is divided by (-16)\/(-6) + (-3)\/s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-9)\/18 - 46\/(-4) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146950987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -12287730 times -5\nAnswer: 61438650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 38*x**5\/5 - 25*x**2\/2 - 33. Find the second derivative of s(f) wrt f.\nAnswer: 456*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -674595 or -674593?\nAnswer: -674595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15409294 by 62.\nAnswer: 248537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**(-29)*l*l*l)\/(l\/l**15)*l**(-2\/29)*(l\/l**(-6))\/l*l assuming l is positive.\nAnswer: l**(-60\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - x**3 + 2*x**3 - 1 + 4 - 2 as u*x**2 + b*x**3 + v + o*x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 16 - 1044*f + 2089*f + 3 - 1047*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q**3 - 2*q**2 + 1. Let n be x(1). Suppose -5*h + n = -14. What is the third biggest value in 0.2, h, 2\/15, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 113. Let a(s) = 38*s + 36*s - n - 109*s + 33*s. Give a(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2275+3\nAnswer: -2272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 3 = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.183 - -1.183. Let b = 0.7 + -3.8. Let k = b + 3. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v - 10. Determine s(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26.04067 micrograms?\nAnswer: 26040.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**2 - 25*o + 34. Suppose 106*x + 444 = -114*x + 1764. Give s(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 2:46 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*g + x, 86 = 5*g + 4*x + 64. Sort -3, g, 263, -1 in decreasing order.\nAnswer: 263, -1, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0*u**3 - 17*u**3 - 1 - 3*u**3.\nAnswer: -20*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 19*b**3 - 7195*b**2 + 14*b**3 - 12*b**3 + 7195*b**2.\nAnswer: -17*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(5\/4)*c*c**(-3))\/(c**(-2)*c**(-3\/10))*c**(-2\/5)\/c**(-2\/5)*(c\/(c\/(c\/(c*(((c*c**(-2))\/c*c)\/c)\/c))))**(-4\/43) assuming c is positive.\nAnswer: c**(-197\/860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, p: 5, q: 2, y: 4}. What is prob of sequence qxpy?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-76)\/95*(-10)\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 5*f**2 + 6*f - 4. Calculate the lowest common multiple of b(4) and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -3a?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**3 - 418*j**2 = 0?\nAnswer: -209, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 - 35*f + 7. Let k(p) = -3*p**2 + 10*p - 2. Let o(g) = 6*i(g) + 21*k(g). Let n(j) = -66*j. What is n(o(u))?\nAnswer: 198*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210966 and 462.\nAnswer: 2320626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*k + 4653 = -803 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -117*h + 96*h. Let f = -122\/1173 + -5\/69. Is h > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Let s(c) = 51 + 0*c + 2*c - 51. Give h(s(g)).\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 18*l + 86 = 31*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2. Let b(s) = -3672689*s. Determine w(b(h)).\nAnswer: 40465933472163*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106889388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhhfhyypfnhynfyf. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 30*h + 139. Let w(n) = 26*n + 137. Determine -6*r(l) + 7*w(l).\nAnswer: 2*l + 125","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -2, -1, 5, 3, 2166 in decreasing order.\nAnswer: 2166, 5, 3, -1, -2, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -25. What is the biggest value in b, -1\/6, 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 12:36 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**3 + 29*w**2 + 166*w + 136 = 0.\nAnswer: -4, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -36, -9 in descending order.\nAnswer: 5, 4, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 2 + 3)*(2*m - m - 2*m)*(2 + 2 - 1) to k + s*m and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573986 divided by -2?\nAnswer: -786993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000000110 (base 2) in base 14?\nAnswer: 7c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 11532?\nAnswer: -576.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d - 9. Suppose -2*a + a - 9 = 0. Let g(m) = 3*m - 4. Calculate a*g(o) + 4*x(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2485*i**3 + 0*i**2 - 152 - 31*i**2 - 2477 + 31*i**2 wrt i.\nAnswer: -7455*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*m + 105*m = 8370 for m.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 241.7314 nanometers?\nAnswer: 0.0002417314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -8*k - 83. Let i = -8350 - -8341. Let w(r) = -2*r - 21. Give i*w(a) + 2*y(a).\nAnswer: 2*a + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/140 - 9*c**5\/70 - 11*c**4\/14 + 4192*c**2. Let u(d) = 0. Calculate d.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 6*x + 1. Let q(k) = k**3 + 6*k**2 - 7*k + 6. Let m be q(-7). Let s be a(m). Solve z + 0 = -s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.62 + -0.72. Sort 0.3, g, -13\/2.\nAnswer: -13\/2, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 24634944?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1970 = -69*r + 250*r - 745 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*q + 209*q - 5*r = 385*q - 3*r + 128, 0*q + 48 = 6*q - 3*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 94401\/25630 or 3?\nAnswer: 94401\/25630","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) -0.2 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, k: 3, s: 2}. Give prob of picking 2 k and 2 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 2. Let y be g(-10). Let x be (5\/3)\/((-4)\/y). Let z(q) = -q**3 - 6*q**2 - q - 8. Let v be z(-6). Put -4, v, x in descending order.\nAnswer: v, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 350715400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 26.7. Let x = -3 - -3.4. Let v = z + x. Which is the closest to v? (a) 2\/3 (b) -3\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6979 = -366*c - 1073 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + -1233234512?\nAnswer: -1233234450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-30)\/(-8)))\/((-364)\/(-273)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 - 4*n**2 + 2*n**2 - 7*n**2.\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, k: 2, o: 1, x: 1}. What is prob of sequence gxgk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 628, 634, 638, 640?\n\"Answer: -n**2 + 9*n + 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -0.67, 233, -40, 0.1 in descending order.\nAnswer: 233, 19, 0.1, -0.67, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/6*((-8)\/4 - 0). Put -4, 1\/2, 0.1, t in descending order.\nAnswer: t, 1\/2, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 330 - 58. Let y be 106\/34 + (-4)\/p. What is the second derivative of -20*v - 13*v**5 - v**3 + 13*v + v**y wrt v?\nAnswer: -260*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 83, 3, 30, 5, -5 in increasing order.\nAnswer: -8, -5, -4, 3, 5, 30, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - a**3)*(3 + a - 3) + 0*a**4 - 2*a**4 + 0*a**4.\nAnswer: -3*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5746 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -576 - -573. Which is the second smallest value? (a) 104 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 70\/9, -186\/11, -0.5 in increasing order.\nAnswer: -186\/11, -0.5, -0.05, 70\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -13*z + 54 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 497*q + 13131 = 500*q, 2*d = 4*q + 8784. Is 4382 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -12. Let m = -27.2 - 5.8. Let r = m + 30. Which is the third biggest value? (a) r (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*t + 3*k + 11 = 586*t, -3*t + 4*k - 24 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1086736 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 311 divide 24569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 2*t. Let g(j) = -j**2 - 2*j - 1. Determine 2*f(h) + 3*g(h).\nAnswer: h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 632*l + 71960 = 25192 for l.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 170 = 30*j. Calculate the highest common factor of j and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 22950\nAnswer: 2\/11475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-4)\/12)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 7 = 2*n, 2*h - 10*n = -8*n + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -900 + 897 + -4 + 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 2\/13 (c) -0.2 (d) 0.5 (e) 619\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 11*u - 9. Let p be z(-10). Let q(n) be the second derivative of 0*n**2 + 5\/6*n**3 - 14*n + 1. Give q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 8 in decreasing order.\nAnswer: 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10219862 a multiple of 118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/125 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 39, 45, 53, 63, 75?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013 + -2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 153\/310763 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 + 93.6. Let z = -1825309 - -1825298.39941. Let i = r + z. Round i to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -26*c**3 + 32*c**2 + 13*c - 1. Let j(n) = -9*n**3 + 11*n**2 + 4*n. Let p(b) = -11*j(b) + 4*y(b). Factor p(r).\nAnswer: -(r - 2)*(r + 1)*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zwr when three letters picked without replacement from zplgwzlr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 19 - 17 = 0. Suppose -3591880 = -n*j + 2318120. What is j rounded to the nearest one hundred thousand?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x + 3. Let o(t) = 299*t - 138. What is a(o(j))?\nAnswer: 3588*j - 1653","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*x + 144*x - 25*x - 372*x.\nAnswer: -653*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 26*n**2 - 36*n - 87. Let c be q(-27). What is the greatest common factor of c and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-40))\/1)\/(14\/(-8)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2624.6 - -2297. What is t rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 266\/10 - (-10)\/25. Let o(j) = j**2 + j + 24. Let h be o(-12). Let k = 291 - h. Calculate the greatest common divisor of s and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 2*u + 7. Let w be x(5). 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 -290.9092375 rounded to 2 decimal places?\nAnswer: -290.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z + 4. Let c be 2 - (2 + z)*-1. Is (12\/c)\/(10\/225) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7*x = 18. Is (-3521)\/(-14) - x\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*((-49)\/7 + 8). Solve -y = o*c + 5, 3*y - 5*c + c - 11 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1283, -5182, -11699, -20834, -32587, -46958?\n\"Answer: -1309*g**2 + 28*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s - 109. Determine w(-23).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1493818964 to the nearest integer?\nAnswer: 38650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22501604 + -5?\nAnswer: 225015bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1684, -1689, -1718, -1783, -1896, -2069, -2314?\n\"Answer: -2*i**3 + 9*i - 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2787 is divided by 104?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 2) + 8 + -7 + -7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -2\/21, -0.1, -2\/25, -11\/12?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k - 13*k + 3*k)*(-67 - 93 - 28 - 55).\nAnswer: 1458*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10894268 by -6.\nAnswer: -5447134\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -41\/13799?\nAnswer: -41\/13799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1216)*-1)**2 - (sqrt(19) - (sqrt(19) + -2)*3 - (sqrt(38)\/sqrt(2) + 4)).\nAnswer: 67*sqrt(19) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2*p*q + 999*d**2*q + 2*d*q - d + 4910*p*q + 2 wrt d?\nAnswer: 6*p*q + 1998*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -30223 - -30246. Let i = 84 + 1. What is the remainder when i is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.8563706323 + 0.2.\nAnswer: 21.0563706323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79829519?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d + 16 - 16 + (-6*d - 10*d - 6*d)*(0 + 4 - 12))*(2 + 0 - 1) in the form p + h*d and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + 5 + -3)*975\/6.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 11 = -8. Solve 10 = -n*f + f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/13)\/x)**(-2\/177)\/(x*x**(-7\/3)*x)**(-48) assuming x is positive.\nAnswer: x**(-36818\/2301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1211259.6.\nAnswer: -1211264.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 62320000 rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 20*s + 104. Let m be o(18). What is the greatest common factor of 476 and m?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + -2*sqrt(187)*-2)\/(sqrt(1584) - -1*sqrt(1584))*-3 + (sqrt(2448) - (sqrt(2448) - 4*1*sqrt(2448)))**2 + (-1 + sqrt(2448))*-2.\nAnswer: -197*sqrt(17)\/8 + 39170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3219130 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 71*z + 3549. Give s(-50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2 - 173*m - 1222. Determine c(-49).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let k be h(0). Let q be 76\/(-20) - k\/(-5). Let v be (-3)\/(2 - (-38)\/q). What is the biggest value in -1, -2\/9, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**8\/240 + l**4\/2 + 7*l**3\/6 - 13*l**2. Let g(w) be the first derivative of c(w). Differentiate g(n) wrt n.\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -213, -194, -159, -102, -17?\n\"Answer: j**3 + 2*j**2 + 6*j - 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - 23) + -4 - (119 + -108)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10920, 21746, 32562, 43368, 54164?\n\"Answer: -5*k**2 + 10841*k + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 169 (b) 0.1 (c) 9\/209 (d) 1\/2 (e) -0.11 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 4*p**2 + 8*p - 58. Give y(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*y = 10, -3*q - 5*y + 22 = -7*q. Is 1\/((-3)\/(-3221)*(-1)\/q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*j + 34*j + 40 = -4*l, -14 = 2*l - j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*i**4\/19 + 278*i**3\/19 + 120*i**2 + 5184*i\/19 = 0. Calculate i.\nAnswer: -24, -27\/4, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 1 - 1 + (0 + 0 + 3*j)*(3*j - 3*j - 2*j) - 6 + 3*j**2 - 5*j**2 + 5 to x*j**2 + s + d*j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/2? (a) -4 (b) 1\/3 (c) -54\/17 (d) 11.01 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*m = -100*m - 88543. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 2. Let c be d(-3). Let o be 6\/(-18)*-36 + 4. What is the greatest common divisor of c and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14370 and 1437.\nAnswer: 14370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -19*q**2\/2 - 2*q + 3. What is the remainder when p(-2) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11587 is divided by 154?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = s + 821, 3252 = 45*s - 49*s - 4*r. Let f = s + 1187. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 3}. What is prob of picking 2 n?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 214. Let u(y) = 23*y**2 + 21*y**2 + 20*y**2 + 24*y**2 - 86*y**2. Determine j(u(l)).\nAnswer: 4*l**2 - 214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1352 + 795. Let y = -557.1 - u. Let h be 2\/3*(0 - 3). Which is the closest to y? (a) -3 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 + 150*f - 4522. What is g(-98)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 12, z: 3}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.072205 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.99 - -3. Let l = b + -0.05. Let c = l - 4.96. Put c, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2) + 7566\/12)\/1. Let p = s + -625. Solve 0 = 3*t - p - 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/4)\/((-6)\/40). Let u be (-6)\/9 + x\/24. Let a be -44*(-2)\/24 - (-6)\/(-9). Is u at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*q**3 - 42*q**3 - 3*q**4 - q**5 + q)*(2 + 2 - 3).\nAnswer: -q**5 - 3*q**4 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1317 - 999. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, -294, 53, 3 in descending order.\nAnswer: 53, 3, -191, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*x + 369*x - 44 = -4*a, -39 = -3*x - 5*a. What is the third biggest value in x, -22, 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(4\/(-2))*-1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2110 - 2?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 9. Let g(h) be the first derivative of 38\/3*h**5 + 2 + 139\/6*h**4 + 25\/9*h**6 + 194\/9*h**3 + 8\/3*h + 32\/3*h**v. Determine o so that g(o) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -70\/266643 and 61\/266643?\nAnswer: 266643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47760092 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.21 in -2\/27, 7, 3\/8, 1, 17?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 1282*t - 11701. Calculate j(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 7. Let r(w) = -w**2 + 2. Let z be r(-2). Let u = 0.033254 + -0.133254. What is the closest to z in u, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*c + 51, -5*c = 235*q - 259*q - 571 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 61*d**2 + 28*d**2 - 98*d**2 + 1. Determine f(2).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 2*h**2 + h. Let c be z(1). Let v(l) = 3 - 3*l + 3*l**2 + 0*l**3 - 2*l**2 + l**3. Give v(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 9:56 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23967 and 133.\nAnswer: 24100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*f - 75*f = -52*f + 7512. Suppose -r + 2*x + 67 = 0, 5*r + x - 5*x - 323 = 0. What is the remainder when f is divided by r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332655.9994 - 332703. Let y = s - -47. Round y to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102001 - 100221?\nAnswer: -202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-3 + 4) - (-6 + 17 + 0)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 + -83. Let s = 48 - 86. Let z = d - s. What are the prime factors of z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 2*d**2 + d + 2. Let a be (-12)\/(-8) + (-105)\/(-10). Let j(i) = -3 - i + a + 8. Let w be j(15). Determine q(w).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 323*j - 321*j - 5*m = 565, 2*m = -6. What is the remainder when 738 is divided by j?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 - 1)*(-2)\/(-4). Let a be ((-140)\/(-12))\/(-7)*(-3129)\/745. Calculate the greatest common divisor of u and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -52*g**2 + 31*g - 4. Let o(q) = q**2 - q. Let m(v) = -n(v) - 3*o(v). Determine c, given that m(c) = 0.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/3 + 4*b**3 + 14*b**2\/3.\nAnswer: -2*b**2*(b - 7)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 18*y**2 + 867*y + 2588. What is j(-3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 922160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/600 - 23*o**5\/300 + 19*o**4\/10 + 18*o**3 - 1172*o**2. Determine k so that x(k) = 0.\nAnswer: -30, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 32 = b, 3*y = 4*b + 99. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4 + 321*i**3 - 2397*i**2 + 2079*i.\nAnswer: -3*i*(i - 99)*(i - 7)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 r, and 1 x when three letters picked without replacement from {b: 1, q: 1, r: 3, l: 1, x: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.7. Let o = -0.8 - j. Let r = -19\/7 + 3\/14. What is the nearest to o in r, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, 0.008, 4, -1\/10, -33, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44844 = 430*y + 10014 for y.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373208 is divided by 1419.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2691510725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*k**4 + 16*k**4 - 85*k**4 + (3*k**3 + 0 + 0)*(2 + 4*k - 2).\nAnswer: -43*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 0*u**3 + 1\/6*u**4 + 2*u - 1\/10*u**5 + 0 + 0*u**2. What is the third derivative of h(m) wrt m?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2758, -4, 7.\nAnswer: -4, 7, 2758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/180 + 19*d**3\/6 - 13*d**2. Let l(v) be the first derivative of b(v). Let s(q) = -9*q**2. Calculate s(l(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*g**3 + 486*g**3 + 56*g - 56*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2514377 or -2514376?\nAnswer: -2514376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/27 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737*c - 704*c = 145575 + 87372. What are the prime factors of c?\nAnswer: 3, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217507 is divided by 2659.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5627 (base 9) to base 14\nAnswer: -172c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*a + 2927 = 447. Let b = 80 - a. Solve 0*q + 6*q = -b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -9. Let y = -7 - p. What is the biggest value in y, 1, -3\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 11 + (23 - -13) + -32 + 39.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.306 + 70.724. Let z = m + -75. Let x = 0.97 + z. Which is the third smallest value? (a) x (b) -5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 195570*n + 2. Let k(x) = 20*x. Determine t(k(f)).\nAnswer: 3911400*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1111 - 1101. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -10944 and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 225 and 8691525.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 39. Let x = 218 + -48. Let m = x - r. Does 13 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 0.04.\nAnswer: 3.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1175895 (b) -0.2 (c) 0.5 (d) 3 (e) -2 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56307*j**3\/2 - 30689781*j**2 + 2687994*j - 58860.\nAnswer: 3*(j - 1090)*(137*j - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 divided by 3365?\nAnswer: -121\/3365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -2 + 4 + 0 + 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*o - 4005 = -2*c, -5*c - 15 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -630*b + 615*b. Let t(g) = -g**2 + 0 - g + 2 + 2*g**2 - 1. Calculate t(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -49\/24 in 3, -1\/7, -8, -5, 2\/41?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1291 + 1380. Solve -5*o + 34 = 5*y + a, 3*y = 3*o - 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14434866*s**2 - 6723081*s + 1 wrt s?\nAnswer: -28869732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 1 + 1)*((2 - 2 - 2*u)*(-u + 2*u - 3*u) - 5*u**2 - 10*u**2 + 42*u**2 + 3*u**2 + u**2 - 2*u**2) + 4*u**3 - 3*u**3 - 3*u**3.\nAnswer: 163*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 524, 1051, 1582, 2117, 2656, 3199?\nAnswer: 3746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -183 + 187 - (17 + 2)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 35 + 130 = 0. Suppose m = -4*j + c, -2*j - 4 = 3*c + 9. Is j bigger than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - n - 1. Let z be y(3). Suppose 4*d + z*w - 12 = 8, 2*w + 5 = d. Is 5 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 43006 = -13*x + 5*q, 0 = -3*x + 5*q + 129008. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 492099 or 492103?\nAnswer: 492099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-89380)\/35752*-1*(-32)\/5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 64\/(-20) - 3\/(-1). Let x be (-6)\/(-16)*(-14)\/(-21). Which is the closest to 1\/2? (a) h (b) 15 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 93*y + 2525. Give p(-115).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*x + 9. Let d = -9 - -13. Let f = 25 - 25. Sort d, x, f in descending order.\nAnswer: d, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36546*-4.18.\nAnswer: 152762.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 4)*(2*c - 3*c - c) + 7*c + 636 - 6*c - 457 in the form x*c + k and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3 + 2)*53)\/(-1). Let o = n - 9. Suppose 4*v = 2*m - o, -20 = -3*m + 4*v + 36. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 6) to base 13.\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-5))\/(8\/(-10)). Let q = 1 + -2. Let x = -12 - -12.4. Which is the nearest to q? (a) x (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 81, 57, 33, 9, -15, -39?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 285823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**6\/105 - u**5\/70 + u**4\/21 + 3*u + 1. Let x(m) be the first derivative of n(m). Let x(j) = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -e7d5b (base 16) to base 5\nAnswer: -220341340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39569775 to the nearest integer?\nAnswer: 6290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-27)*(24\/14 + (-27250)\/11445)?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i = -7*i. Suppose i = -4*j + 190 + 158. Let h(p) = p + j - 87. Let l(o) = 12*o. What is h(l(m))?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/880 and 6*(-19)\/228 - 1311\/(-2640).\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**2 + 4*n + 3. Let u be f(-2). Suppose -3*j + u = -s + j, s = j - 26. Let y = 5 - s. Is 14 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*u**3 + 1 + 4*u**2 - 3*u**2 + 2 + 5*u to v*u**2 + d*u + c + r*u**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -69.4. Let w be (-5 - -6)\/(1 - 1\/2). Which is the fourth smallest value? (a) j (b) 3 (c) w (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 323\/603 + -259417\/400995. What is the common denominator of i and -91\/855?\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - k + 0*k)*(2 + 1 - 1)*(0*k + 2*k - 4*k)*(k - 4*k + 2*k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnn when three letters picked without replacement from lnnl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Let r(l) = l - 1. Let z be r(3). Suppose -20 = -x*j, -3*j + 30 = 2*w + z*j. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -9\/22 (c) 4\/9 (d) -2\/17 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 93*438792\nAnswer: 40807656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889.\nAnswer: 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7978 - -7982. Suppose 2*i - 2*o + 5*o = -185, -2*i = -5*o + 177. Let z = 159 + i. Calculate the greatest common divisor of c and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0805+1\nAnswer: 0.9195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -240159 and -103167.5.\nAnswer: -343326.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 9:11 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3899 and 287266379?\nAnswer: 287266378.6101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.7 + 0.3. Let h = -334\/253 - -22\/23. Let k = 6\/77 + h. Sort 4, m, k in descending order.\nAnswer: 4, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5*(2 + 88\/(-40)). Which is the closest to -24? (a) 3 (b) -5 (c) l (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 4*c + 6, -5*f + 757 = 6*c + 9*c + 717 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1932)\/35 + 0)\/((-9)\/60). Is (s\/32)\/(-2 + 3034\/1516) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4 - 1)\/(5628\/536))\/(1\/42)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -77633901*i*u - 11792483*u wrt i?\nAnswer: -77633901*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23.6 + -290.6. Let x = -266.9 - j. Which is the smallest value? (a) -6\/7 (b) x (c) -1\/6 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*l - 5 + 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 5*t + 12705, -2*r + 57*t - 54*t = -5082. Is r a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g. Let i(d) = 2*d - 20. Let o(l) = -2. Let u(q) = i(q) - 10*o(q). Calculate 6*u(c) + x(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -6544.56918 to the nearest integer.\nAnswer: -6545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -9. Sort -15, -2, t.\nAnswer: -15, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -24 + 15 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 + 8*f + 10. Let v be g(-7). Solve y - 15 = v*j, -2*j + 2 - 12 = -2*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, 4\/9, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = 5*s + 205 - 434 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 685469, 685460, 685451, 685442?\nAnswer: 685433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 329.895769542 + -332.6557695. Let n = v - -2.76. Round n to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(3 - r - 3)*(-41 + 12*r + 41).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15 (b) 28 (c) 0 (d) -4 (e) 35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by (-4 - ((-3)\/1 - 2))*27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -2*u + 2*q, -4*u + 4*q + 8 = 0. What is the closest to 1.5 in -4\/5, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 11. Let m be z(8). Let b be ((-4)\/m)\/((-2)\/3). Factor b*a**2 + 0*a + 4*a - 2*a**4 + a**5 - 5*a.\nAnswer: a*(a - 1)**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3279?\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31462, 31588, 31714?\nAnswer: 31840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 8. Suppose 4*w + 24 = -0*w. Let q be s(w). Let f = -191\/5 + 2091\/55. Which is the biggest value? (a) f (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((1*sqrt(288) - sqrt(288)) + sqrt(288) - sqrt(2)) - (((sqrt(114) - -2*sqrt(114))*-5 - sqrt(114))\/sqrt(6))**2.\nAnswer: -4864 + sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/((-1)\/12). Let p = j - -2. Let r(z) = 4*z + 7. Let o(c) = -6*c - 11. Calculate p*o(t) + 8*r(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 551554 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**2\/3 + 3669046*p\/3 + 7338100\/3 = 0.\nAnswer: -2, 1834525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*c + 3496 = -40*c - u, -5*c - 4*u + 5821 = 0. Does 153 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102667227 or 102667228?\nAnswer: 102667228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(20*x - 44 + 44) + 7*x + x - 3*x + 5*x - 3 - x - 6*x.\nAnswer: 23*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 5 - -6 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from hooohhowwoohos.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of 1\/6*d**3 + 0 - 2*d + 2*d**2. Let t be 14\/(-4) + 13\/(-26). Give z(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8247?\nAnswer: 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 2786 = 8204. Is 28 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 34*b - 285. Is v(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*t + 3*t - 5*t)*(1 + 0 + 2) + 3 + 3*t - 3 + (-33*t - 250*t + t)*(-5 + 4 - 3) to the form r*t + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u**2 - 9*u - 8. Let s(w) = -2*w + 20. Let q be s(14). Give y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123.6 - 127.6. What is the biggest value in -0.4, 0.5, 13, x?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (-4 + 3\/12) and 7\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r)**(-11)\/((r*r*(r\/(r**(2\/17)\/r))\/r*r)\/r**(-6))*r**(4\/9)\/(r*r**(-7)\/r)*(r**1)**(10\/9) assuming r is positive.\nAnswer: r**(1480\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 1, d: 2, r: 1, k: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 0 + -1)\/(-1). Let q be m\/(2 + 14\/(-8)). Suppose 0 = -z + 3, 0 = 4*x - x - z - q. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by (27\/6 + -3)*(7 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*(sqrt(2448)*1 + 2))**2.\nAnswer: 1200*sqrt(17) + 61303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a + a)*(10 - 4 - 4) as n*a + i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t + 9*t**4 - 20*t**4 + 0*t**2 + 3*t**3 + 0*t**2 + 38 wrt t?\nAnswer: -132*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1712721 is divided by 4965?\nAnswer: 4761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -193, -285, -375, -463?\n\"Answer: n**2 - 95*n - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*j = 5, 0 = k + j - 0 + 1. Suppose -4*x = 8, k = 4*m - 4*x + 5*x - 754. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-31)\/4 + 0)*-4. Suppose -2*t + a = 11. 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: Let x = -0.4 - -0.5. Let h = -0.9 - x. Let s = 5\/12 + -23\/12. Which is the nearest to h? (a) 1 (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292148?\nAnswer: 2, 3, 11, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 225, 752, 1727, 3300, 5621?\nAnswer: 8840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/14635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-141)\/2)\/(2\/(-60)) - -4?\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/28717 and 17\/6.\nAnswer: 172302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 271*b**2 + 4*b**3 + 44*b**4 + 72*b**4 - 178*b**4 wrt b.\nAnswer: -1488*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -289.781435 + 289.8. What is g rounded to four dps?\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**(-2\/3)))\/g)\/g**(-2\/5))**(7\/3)\/(((g**1*g)\/(g\/(g\/(g*g**(-2\/3)))*g))\/(g**6*g*g*g**(-5)*g*g*g)) assuming g is positive.\nAnswer: g**(107\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 655720 divided by 1261\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*p + 9016 - 1282 - 7240 - 6916 = 0 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1652556 and 7.\nAnswer: 11567892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*u + 228 = 45*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -11. Let v be -4 - -10 - 1534\/260. What is the biggest value in x, v, 4, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, 134, 805, 2106, 4247, 7438, 11889, 17810?\nAnswer: 25411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/2)\/(n*n**23*n*n)*(n\/(n\/(n*n\/n**(2\/37)*n)))\/n**20 assuming n is positive.\nAnswer: n**(-3297\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 120, 314, 588, 942, 1376, 1890?\nAnswer: 2484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2055 = -2035 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -15\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6540597 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + (4 - -21) + -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 6. What is i(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, -2\/23, -0.4, 66, 3\/7, -8?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 2*g + 1. Let o be u(-1). Let x be 2\/2*3*2. Suppose o*d + i - 8 = 0, 5 + x = d - 3*i. Solve 6*t = d*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 6:48 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 900876 and 18204?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4818 to 2 dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018215765 rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l. Let y(r) = 102*r**2 - 8*r - 4. Let a(s) = 6731*s**2 - 530*s - 265. Let d(c) = 4*a(c) - 265*y(c). Give d(g(j)).\nAnswer: -2650*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2221246691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 - 4*f**2 + 4*f - 4. Let w(o) = -2*o**3 - 8*o + 5 - o + 5*o**2 + 2*o + 2*o. Give -5*q(d) - 4*w(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2639*o - 18649. Give c(7).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w - 114 = 31*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**4 - q**3 - q. Let z(v) = -4*v**4 + 11*v**3 - 22*v**2 + 27*v - 9. Let h(u) = -12*y(u) - 4*z(u). Suppose h(d) = 0. What is d?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 7. Let g be d(-7). Suppose g = -2*l - 4*j, 0 = -6*l + 3*l + 5*j. Let a be (3\/(-6) + -1)\/2. Are l and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-113)\/(2 + (-24)\/8) is divided by 2\/13 - (-1503)\/117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*j + 10. Let g be 2*(1 - j) - 1. Suppose 16 = g*a - a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*w - 3. Suppose -19*g - 36 = -g. Do w and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7296*b + 2 - 3 + 1 - 3.\nAnswer: 7296*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t**2 + 122*t - 1593. Calculate j(-32).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + -0.6. Let o be 2\/5 + 46\/10. Let f(y) = -y**2 + 6*y - 4. Let x be f(o). Which is the closest to x? (a) d (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*46\/322*(-8)\/(16\/(-106)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 10, -d - 4*b + 5 = -2*d. Suppose -4*g + 0*g**2 + 8*g**2 + 2*g**d + 2*g**3 - 2 - g**4 - 5*g**4 = 0. Calculate g.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*c + 0*c + 54 + 51193*c**2 + 2387*c**3 - 51193*c**2 wrt c.\nAnswer: 14322*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 = -17. Calculate the least common multiple of 5 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -114*s**4*u**3 + 10*s**4*u + 414*s**2*u + s*u**2 - 2*u**3 + 2*u wrt s.\nAnswer: -2736*s*u**3 + 240*s*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -28 - 11. Let n = k - -7. Let a = 49 - n. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 - (-16)\/56. Suppose 4*l + 4*r + 0*r - 1264 = b, 5*l - 1582 = -4*r. List the prime factors of l.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 219158031, 219158036, 219158045, 219158058?\nAnswer: 219158075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:05 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2787 - 21 = 216*x for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 6. Suppose 4*j + 4*x + 1 = -11, -2*j - x = 9. Let n be v(j). Factor n - 2\/5*o + 2\/5*o**4 + 6\/5*o**2 - 6\/5*o**3.\nAnswer: 2*o*(o - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 118.00000035 - 118. What is i rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103820, -104063, -104306, -104549?\nAnswer: -104792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 - 391*f - 3454. Give v(-9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.13 + 0.13. What is the closest to j in 4, 122, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 268990125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-14)*w*w*w**(6\/5)*((w*w\/(w*w**1*w)*w)\/w)\/((w*w**(2\/9))\/w*w))**(-30))**(-2\/19) assuming w is positive.\nAnswer: w**(-2344\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6211419 to the nearest integer?\nAnswer: 2492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 14698318, 14698319, 14698320, 14698321, 14698322?\n\"Answer: b + 14698317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxl when three letters picked without replacement from {t: 2, l: 7, g: 4, x: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 28*f - 149. What is the hundreds digit of s(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/8 of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2730, 3 in ascending order.\nAnswer: -2730, -0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -4, -0.4, -0.8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447.5551 micrograms in nanograms?\nAnswer: 447555.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9 + -3. Let j = -0.2 + 0.7. Let h = 0.9 - j. Which is the closest to m? (a) h (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12684518, -12684490, -12684462, -12684434, -12684406, -12684378?\nAnswer: -12684350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f2 (base 16) in base 15?\nAnswer: -475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 88, 297, 866, 1975, 3804, 6533, 10342?\n\"Answer: 30*m**3 - m + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*a - 22*a - 2797816 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 704 = 7*u. Suppose -u*t = -117115 + 10747. What are the prime factors of t?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 4:24 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2045.452g in nanograms?\nAnswer: 2045452000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26455 and 145?\nAnswer: 767195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140027.6499691 - 140026.9. Let x = g + -0.75. Round x to six dps.\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 300\/24) + (-62)\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*z - 30 = 0, -412 - 113 + 471 = 3*r - 5*z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 6*g + 31. Suppose 75*b = 32*b + 387. Give w(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17e (base 15) to base 13.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 9:33 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, -2\/7, 1\/2.\nAnswer: -2\/7, 1\/2, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 2. Suppose 0 = m*p + 2*p - 95. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473 divided by -4209?\nAnswer: -151\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1063749 to the power of 1\/2, to the nearest integer?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*(-2 + (-4*-1*sqrt(297))\/sqrt(11)))**2 + 1).\nAnswer: -2622 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.081 + 0.0809805. What is f rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (32 + -41 - -85) + -12 + 2 + -3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.043851, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 336466 - 4?\nAnswer: 336462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855.5778kg to milligrams.\nAnswer: 855577800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*t - 22, q - 8*t + 9*t = 5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7284*l + 94 + 73 - 3641*l + 25 - 3660*l to the form s + x*l and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + 504 - 258 + 4*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1275*a**2 + 11*a + 54. Let z(d) = 255*d**2 - 2*d - 10. What is 2*j(f) + 11*z(f)?\nAnswer: 255*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 730\/45 + (-6)\/27. Let k = z + -8. Calculate the remainder when 62 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212799 is divided by 276.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 123 + -115. Suppose 3*k = -2*a + 6, -3*a - 4*k = -5 - 4. What is the least common multiple of a and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-59 + 56)\/((-1)\/(107\/3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of -5*1*(-840)\/75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101000000001110100 (base 2) to base 11.\nAnswer: -271154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 399*p - 35. Does 26 divide m(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 103*l - 21*l + 47*l - 1677 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**3 + 783*v**2 + 4 + 7*v - 786*v**2 + 2 - 4*v**3. Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 63?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 9. Let o be 2\/(2*2\/12). Suppose -m + 20 = -o*m. Give w(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/2 + (-49)\/(-2))*1. Suppose 0*d = -2*d + w + 53, d - 2*w = o. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -3*f**2 + 2184*f - 397488 = 0?\nAnswer: 364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 429.582 + 0.418. Let y = w + -429.9. What is the second smallest value in y, -1\/7, -0.1, 1\/85?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 3*d + 47 + 133, 0 = 5*n - 4*d - 145. Let j be -8 + 8 + 11*8. Suppose -2*x - 2*x = -j. What is the greatest common factor of x and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -6*s**3 - 3*s**2 - 77*s - 1. Let i(m) = 4*m**3 + 2*m**2 + 39*m. Give 5*i(d) + 3*u(d).\nAnswer: 2*d**3 + d**2 - 36*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.5, 2\/17, -1444\/5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:18 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/13)*z*(z*z*z\/(z*z**11*z)*z*z)\/z assuming z is positive.\nAnswer: z**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, v: 3, u: 1, o: 4}. Give prob of picking 1 v and 1 o.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 74844 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 1, i: 1, g: 5}. Give prob of picking 1 i and 2 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/2 + (-24)\/((-8)\/1). Let h = -43.98 + -2.72. Let y = 47 + h. Which is the second smallest value? (a) y (b) t (c) 0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12765*i + 21700508. What is k(-1700)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 12. Let o = 64 - 49. Let u = p - o. What is the second biggest value in 0.1, u, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 368 + 30 = 0. Let o be 3 - s\/8 - (-2700)\/48. What is the highest common divisor of o and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**8\/420 + g**7\/280 + g**6\/360 - 2*g**3\/3 + 1. Let c(u) be the third derivative of z(u). Let c(h) = 0. Calculate h.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70551707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((4*sqrt(77))\/sqrt(7))*-5*5 + -2.\nAnswer: -25*sqrt(13)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - (-5 + 12 + -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + -5950ac?\nAnswer: -595081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 5879.923 (c) -0.1 (d) 2 (e) 0.1 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -19.1. Which is the nearest to p? (a) -3 (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.464032 - -0.464. Round o to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9 = 3*c, 7*m - 5*c + 22 = 9*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36735.157 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, -24, 3, -3 in descending order.\nAnswer: 5, 3, 1, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 866 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.123, 1\/65, 1 in decreasing order.\nAnswer: 1, 1\/65, -0.123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Let z be ((-4)\/(-32))\/((-3)\/18). Put 2\/11, z, w in increasing order.\nAnswer: z, 2\/11, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2973, 2751, 2261, 1371, -51, -2137?\nAnswer: -5019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-12))\/(75\/300)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -345 + 631. List the prime factors of l.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/10 - 2\/(-10). Let j = -0.0066 + -0.9934. Which is the closest to -0.1? (a) u (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248\/3*6\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33054575?\nAnswer: 5, 131, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - -1 - 29 - (-158872 - -158851)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**2 - 3*t**2 + 0*t**2)*(t - 2*t**2 - 1694 + 1696 - 7*t**2) to the form v*t**2 + u*t**4 + p + q*t**3 + x*t and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - -3. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -o + 4, -2*o + 1 = u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.097523 - 0.09752252167. What is p rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/9)\/(6\/27). Suppose f + 4*v = -1 - 8, v = -2*f + q. Suppose 0 = 2*u + f - 9. Solve o = -u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 386.6 + -386.599994931. Round x to 7 dps.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -8. Let u be -1 + 8*(-3)\/s. Suppose 0 = u*f - h - 0*h - 5, 0 = f - 2*h. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137 - 2?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*z = 109*z + 40. Let d be (z + 279\/(-36))*(-40)\/(-2). What is the closest to 1 in d, 2\/5, -0.22?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*o - 91*o**2 + 29*o + 20*o as a + s*o + h*o**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, s: 3, y: 3, o: 2, v: 1, g: 1}. What is prob of sequence yvms?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 443161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001100 + 1001110?\nAnswer: 10100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408140330 by 218842.\nAnswer: -1865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2.0068*0.2\nAnswer: 0.40136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5004 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 1, s: 1, c: 5, b: 3, h: 1}. Give prob of sequence shcc.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + z - 3*z = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 122*j - 2683. What is the remainder when t(93) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.52834 to 1 dp.\nAnswer: 26.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178240792.\nAnswer: 2, 22280099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 6:40 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 490 - 339. Let t = 151 - q. What is the closest to 0 in t, -4, 12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - -1*sqrt(210)\/sqrt(7)) + sqrt(30))\/(sqrt(150) + 5*sqrt(150))*1.\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1256891 is divided by 182.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b - b + 8 - 9)*(0 + 0 - 2*b**2).\nAnswer: -8*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*p - 24 + 9, 2*p = 2*h + 10 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of 1\/30*a**6 + 0 + 0*a**5 - a**2 + 0*a**3 + 0*a + 1\/12*a**4. What is the second derivative of i(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1993.\nAnswer: 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 778.098 tonnes to kilograms.\nAnswer: 778098","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 times 738333?\nAnswer: 996749550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1783*s - 13. Let g(h) = 3*h**2 - 385. What is m(g(l))?\nAnswer: 5349*l**2 - 686468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0362308 * -11.\nAnswer: -0.3985388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + 2933. List the prime factors of i.\nAnswer: 3, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924320431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.94337 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 y when three letters picked without replacement from iyiiwkwiiik?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 34*u**2 + 5*u**2 + 11*u - 6*u**2 - 5*u - 44*u**2. Let s(n) = 10*n. Calculate s(b(m)).\nAnswer: -110*m**2 + 60*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.02, -15.1, 0, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192492666421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*9)\/((-12)\/(-8)). Let s(t) = 2*t**2 - 2*t - 5. Is s(p) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -x**4\/6 + 20*x**3\/9 - 32*x**2\/3 + 64*x\/3 - 933. Factor l(m).\nAnswer: -2*(m - 4)**2*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20998 is divided by 431?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -583781 * 0.3\nAnswer: -175134.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/(-3))\/((-7)\/84). Let x = 43 - c. Find the first derivative of -10 - 14*a**x + 14*a**3 - 7*a**4 wrt a.\nAnswer: -28*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(2\/39)*x**(-3)\/x)**(-49) assuming x is positive.\nAnswer: x**(5635\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**4\/2 - 19*m**3\/2 - 49*m**2 - 88*m - 48 = 0.\nAnswer: -12, -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -102, 1, -1, -3, -5 in descending order.\nAnswer: 1, -1, -3, -5, -40, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 4*t**2 + 2*t + 6. Let s be x(-5). Let k = -5 + s. What is the derivative of k - 21*l + 19*l + 0 - 7*l wrt l?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 - -2.8. What is the closest to 2 in -5\/4, 5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*n + 28*n - 9*n**3 + 39*n to r*n**2 + l + v*n**3 + d*n and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/8 of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3888 and 648.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -890766 + 220766. What is q rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -706 + 13736?\nAnswer: 13030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 547.62 + -553. Let r = -3.38 - i. What is the third biggest value in r, -91, -1\/7?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 73191.85t?\nAnswer: 73191850000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*m + 10, 4*p = -m + 15 - 4. Solve 2*r - 14 = -2*x, -p*r - 2*r = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -395 + 400. Solve t*r = y - 4*y - 34, -r = 4*y + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409943140 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 14*p**2 - p + 18. What is the least common multiple of 14 and u(14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 140562, 281120, 421678, 562236, 702794?\n\"Answer: 140558*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -150. Let q = -6 + 17. Let x = q + a. Does 23 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(88)\/sqrt(32).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 109.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 26 = 5*g, 5*g = 6*v - 5*v + 14. Calculate the smallest common multiple of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**8\/7 - 2*a**4\/3 - 10*a. What is the third derivative of s(j) wrt j?\nAnswer: 960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 3*y. Let c be u(-3). Let i = c + 78. Suppose i = 5*b - 2. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*sqrt(108))**2 - sqrt(147)*-6 - ((sqrt(27) + sqrt(27)*-2)\/sqrt(9) - (2 + sqrt(3) + -3 + sqrt(3)))).\nAnswer: 45*sqrt(3) + 976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12747742079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 129 + 127 = -224. Which is the closest to l? (a) -2\/3 (b) 1\/7 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/7)*b)\/b)\/(b*b**0*b))\/(b**(-1\/2))**(1\/9)*((b**3*b*b*b)**48)**(-19\/5) assuming b is positive.\nAnswer: b**(-690787\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825256 a multiple of 1004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 238*k - 134*k - 1594424. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42230775 - -4?\nAnswer: 42231001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (sqrt(832) - -5*(sqrt(832) + sqrt(832)*5) - 1*sqrt(832)*6)*-2 + -1)**2.\nAnswer: -6240048 - 9600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -248*n + 89. List the prime factors of d(-4).\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a microgram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58*61595\nAnswer: 3572510","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f**2 - 1. Let z be w(-1). Let l be z\/(-15)*(1 - -5). Suppose -p = l*t - 30, -81 = -5*p + 4*t - t. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 i, and 1 b when three letters picked without replacement from {v: 5, i: 1, c: 1, b: 1, l: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/2 + 84135*i + 6882260.\nAnswer: 5*(i + 82)*(i + 33572)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2. Let o(f) = 4*f**2 - 10. Let a(y) = 5*l(y) + o(y). Differentiate a(n) with respect to n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47727535?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -99, -2\/37, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 8 - 28. Let q be n\/(-63) + 195\/(-7). Let k = -21 - q. What is the remainder when 17 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*y**5 + 576888*y**4 + 5939472142*y**3 - 69674000516*y**2 - 186886204056*y - 47569858672 = 0. What is y?\nAnswer: -20609, -2, -2\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*d**2*q*x**2 - 12*d**2*q + d**2*x**2 - d*q*x - 4*d*x + d + 3*x**2 wrt d.\nAnswer: -58*q*x**2 - 24*q + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50006 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - 0 - 6\/(-6). Suppose -u*r = -3*r + 2. Suppose 16 = b - 5*m, -3*m + 23 + 9 = r*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*l - 7 - 1, 4*m = -5*l + 16. Let x(w) be the first derivative of 6\/5*w**5 + 0*w**2 + 0*w + 19 - 2\/3*w**3 + 0*w**m + 2\/3*w**6. Factor x(a).\nAnswer: 2*a**2*(a + 1)**2*(2*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*v - 17 - 28. Put v, 1, 4, 57 in increasing order.\nAnswer: v, 1, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a millennium?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/6)\/(40\/(-3920)*-49))\/((-1)\/50)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8*u - 184. Let i be b(23). Solve -5*m - 7 = -2*h + 1, i = 5*m - 4*h + 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5552824 is divided by 248?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004996704 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/21*(-7)\/(-2). Let w(r) be the first derivative of 5 + 0*r**y - r**4 + 0*r - 1\/3*r**3. Find the third derivative of w(h) wrt h.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -263167\/60 + 4386. Let t be 1\/(30\/25) + 3\/(-4). Let o = t - a. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6377791.7 to the nearest one hundred thousand.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(960\/16) + 1431\/90.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 716, 731, 746, 761, 776, 791?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)\/(((-6)\/26)\/(888\/(-117364))).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 7?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 9*b**2 + 6*b + 5. Suppose 3*h - 24 = 3*z, -2*h + 11 = -4*z - 5. Give c(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, v: 4, c: 2}. Give prob of picking 1 v and 1 r.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 16. Let c = 9 + p. Let l(w) = w**3 - 11*w**2 + 10*w + 2. Let j be l(10). Solve -3*y - 2*u - u = 18, c*y + j*u = -27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9025 times 0.36?\nAnswer: -3249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 1456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 653 is divided by 329?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 1 (c) 878 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504 divided by 252.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3192 by 76.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + a + 67669, 51*u = 48*u - 5*a + 101484. What is the hundreds digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -33 - 28*r + 20*r + 9*r - 8*r**2. Let w be o(6). Which is bigger: -314 or w?\nAnswer: -314","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 11*p - 368. Let s be i(33). Sort s, 0, 10 in increasing order.\nAnswer: s, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2148326, 2148325, 2148324?\n\"Answer: -a + 2148327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -463 - -463.4. Put -21, d, 64\/5 in decreasing order.\nAnswer: 64\/5, d, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30 and -32\/513.\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -331*u**2 - 532*u**2 + 877*u**2 + 5.\nAnswer: 14*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 329*a + 2*a**3 + 7791*a**2 - 7791*a**2.\nAnswer: 2*a**3 - 329*a + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3002677 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 21*b + 21. Suppose -2 - 1 = -3*z, 4*z = 4*c + 60. What is the units digit of f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0\/r)**(-2\/61)*(r*r\/(r\/r**(-2\/5))*r)**(-21\/5))**(-15) assuming r is positive.\nAnswer: r**(30594\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5 = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -8*h**7\/21 + 11*h**4\/8 - 50*h**2. What is the second derivative of r(u) wrt u?\nAnswer: -960*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 7. Suppose v = 4*p - 66 - 66. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552120?\nAnswer: 2, 5, 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5, -5*x - 5*d = -4*d - 11. Let q(v) = 0*v**x + v**2 + v**2 - 6*v**2. Let n(h) = -2*h. Determine q(n(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**4 + 148*j**3 + 1248*j**2 + 3840*j + 2048.\nAnswer: 2*(j + 8)**3*(3*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 1154698?\nAnswer: 5\/1154698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 7 + -12 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j + 43 + 110 + 49 + (-3 + 0 + 1)*(1 - j - 1) + 3*j + 0*j - 2*j - 2 + 2 - j to the form p + y*j and give p.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.664 rounded to one decimal place?\nAnswer: 54.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from ccccdccdcccc.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2210 divide 2817750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0278565219 rounded to six dps?\nAnswer: 0.027857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -9*a + 20. Calculate n(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -7*g + 8. Let c(m) = -6*m. Give c(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**5 - 1707*c**4 + 17691*c**3 + 183879*c**2 - 1159488*c - 7566372 = 0.\nAnswer: -579, -6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25 (b) 7534 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20989\/8 or -2623?\nAnswer: -20989\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 8:37 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1435623 - 1435623 + 1924*x**4 + (2*x - 1 + 1)*(-3*x**3 + 4*x**3 - 3*x**3).\nAnswer: 1920*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -12. Find the second derivative of -f*m**2 + m - 12*m - 2*m - 3*m**2 wrt m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h + 9*h - 12 = 5*m, -16 = 4*h - 2*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 334005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 9:08 PM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -26c6 - 84?\nAnswer: -277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27959824 divided by -6989956?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -229551\/4 + 57920. Suppose 2*v = 4*q + q + 2635, -3*q - 3*v = 1581. Let a = q + r. Find the common denominator of -125\/6 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(sqrt(11) - (sqrt(11) - sqrt(11)*-2)) + 5.\nAnswer: -sqrt(3)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*k = 104*k + 16162 - 1528 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 313*r - 24088. What is z(-135)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -23*f + 17*f + 656. What is the remainder when 149 is divided by f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31010333 (base 4) to base 11.\nAnswer: 37278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003462277 to seven dps.\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9552.061 millimeters?\nAnswer: 955.2061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1118\/(-516)*8\/(40\/10)*-3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 37\nAnswer: 12\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -f - 0*f - 322, 2*t = -3*f - 994. Is -2*1 - f\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + -1 + 8 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 0 + 2 - 10*a + a**2 + 0. Let h be n(10). Suppose 2*p - 5*d = 4, 2*p - 3 = -h*d + 1. Solve -p*t = -4*t + 6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/2 + u**3\/3 - 6. Find the third derivative of v(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/(-10))\/(9\/(-210)). Suppose 0 = -o + 8*o - r. What is the remainder when o is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -863 - -885. Calculate the remainder when 175 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 0 (c) 4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z + 3*z + z)*(0*z + 3*z - 4*z) + 2*z**2 - 6*z**2 - 4*z**2.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907501177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 701906563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -2*j**6\/105 + 4*j**5\/35 - 116*j. Factor b(f).\nAnswer: -4*f**3*(f - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.7, -3, 8, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793 a factor of 7044697?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -11 + 2 - (5 - 8)) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 76*j**3 + 3*j**2 - 52*j + 6. Let v(n) = -77*n**3 - 4*n**2 + 51*n - 8. Let d(z) = -4*b(z) - 3*v(z). Find the second derivative of d(i) wrt i.\nAnswer: -438*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 t, and 1 i when four letters picked without replacement from tttlttttttttlttti?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 3. Let m be 117\/(-45) + v\/(-10). Let y be 4\/m + (-399)\/(-63). Calculate the highest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 10 = -2*n + 4*n, -2*b - 3*n = 15. Suppose -4*w - 4 + 8 = b. Sort -3, -1, w.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4752 and 772?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 24, -5 in decreasing order.\nAnswer: 24, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-906)\/(-15) - 2)\/(1\/25)?\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.37 take away 208254?\nAnswer: -208342.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5*w**3 + 9*w**2 + 2*w. Let t(m) = -4*m**3 + 8*m**2 + 2*m. Suppose -2 = -2*u + 9 - 1. Calculate u*a(g) - 6*t(g).\nAnswer: -g**3 - 3*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ca - -4?\nAnswer: 2ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 - 6*r**4 + r**4 + (3*r**4 - 4*r**4 + 3 + 0*r**4)*(-18 - 30 + 16) in the form z*r + b + k*r**4 + g*r**2 + a*r**3 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -42 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wt when two letters picked without replacement from {n: 7, w: 3, t: 4, i: 1, o: 4}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((13 + -3)\/2)\/1. Suppose -2*i = 4*m - b*m - 5, 25 = -3*i - 5*m. Solve -2*r + j + i*j + 3 = 0, 5*j + 22 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-529)\/184)\/((-7)\/2). Let s = -4\/7 + h. What is the closest to -2\/7 in 2\/9, s, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10 (b) 1984 (c) -45 (d) -0.12 (e) -1\/2 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1659224?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.5533 + -2297986?\nAnswer: -2297979.4467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 - (-3096)\/40. Let l be (-111)\/259 - (-160)\/14. What is the highest common divisor of v and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3)\/(t\/t**14))\/(t*t**(-1\/4)\/t)**(-1\/41))**(-7\/13) assuming t is positive.\nAnswer: t**(-42455\/6396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 6:17 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2011572*d*l + 3*l - 1150008 wrt d?\nAnswer: -2011572*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-27)*(50\/4 - 14)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18400 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 76*c**3*d*w + 3*c**3*w + 7*c**3 + 42*c**2 - c*w**2 - 6044*d*w**2 + 2*w**2 wrt d?\nAnswer: 76*c**3*w - 6044*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 243\/54*8\/5808*-11\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30075 and 570?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713200215?\nAnswer: 3, 5, 7, 13, 23, 22717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = -b - l, 4*l = -2*b + 20. Solve 6*u = 2*u + b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, s: 2, y: 3, r: 2, k: 3}. Give prob of picking 2 e and 2 y.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, z: 4, g: 3}. Give prob of sequence bz.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bgf when three letters picked without replacement from {g: 5, v: 5, b: 3, f: 5, d: 1}.\nAnswer: 25\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 351753 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/4 of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**5\/15 + 5882*f**4\/3 - 2*f**3\/15 - 5882*f**2\/3 = 0. What is f?\nAnswer: -14705, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 + 5*k**2 + 8*k + 3. Let o(j) = j**3 + 3*j**2 + 4*j + 2. Let x(l) = 2*g(l) - 5*o(l). Give x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 23 = -k - 3*w, -5*k + 28 = -4*w. Let b(x) = x**2 - 7*x - 7. What is the units digit of b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10662.81555 + 1073.4?\nAnswer: 11736.21555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/7 - (-1118)\/336 and -35\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49.3 + -53. Let u = z + 4. Let p be 3\/(-9) + 14\/6. Put u, p, 2\/5 in decreasing order.\nAnswer: p, 2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 5) to base 10\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17126 = 2*y, -18*y - 8541 = -19*y - 5*p. What are the prime factors of y?\nAnswer: 7, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, -233.89, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704) + -4 - (sqrt(704) + 0 + sqrt(704) + -3))**2 + -1 + (sqrt(1331) + (2*sqrt(1331) - sqrt(1331)) + sqrt(176) + -2)**2.\nAnswer: -72*sqrt(11) + 8147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*((-24)\/9 - -2). Sort -5, o, 18 in increasing order.\nAnswer: -5, o, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12137?\nAnswer: 53, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-4)\/(-12)). Let p be 1 - (0 + w + -193). Let s = p - 1565\/8. Which is the nearest to -0.1? (a) -1 (b) s (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011001010000 (base 2) in base 14?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 20. Let r be (0 - (n + 1))\/(-8). What is the closest to -0.1 in -5, 0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 0 = 5*l. Suppose l*c + 168 = -h, 4*h - 30 + 702 = 2*c. What is the lowest common multiple of 10 and 4\/10 + h\/(-30)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18610 + 18706. What is the remainder when 1988 is divided by h?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368*i**6 - 493*i**2?\nAnswer: 44160*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.01 + 0.06. Let b = 36.95 + y. Let q = -36.9946 + b. Round q to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**4\/4 + 2*x**3 - 3*x**2 - 3*x + 17. Give r(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1303 (base 6) to base 11\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 2*z - 453*z**2 - 3*z.\nAnswer: -453*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/36 + (1 - 7\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 4380597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 42*v - 42. Let l be a(10). Calculate the greatest common factor of l and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*d**3 + 62*d**3 - 262*d**3.\nAnswer: -239*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 0.219, -0.3.\nAnswer: -5, -0.3, 0.219, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o = 53*o - 57. Is 8\/5 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 3. Let w(q) = q**2 + 5*q - 4. Let r be w(k). Differentiate 2*h - 2*h**3 + r - 2*h with respect to h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 12*g**2 + 14*g - 9. What is the units digit of l(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -130, 7 in descending order.\nAnswer: 7, -18, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2365.392 times -40\nAnswer: -94615.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*o. Suppose 0 = -o*a + 45 - 3. What is the least common multiple of a and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 27. Sort d, -2\/7, -2 in decreasing order.\nAnswer: d, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = 2*o. Suppose -2*r = -o*d, 0*r - 4 = d - 2*r. Let h be (-5)\/(d - (-110)\/(-56)). Round h to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1926 = -f + 3*u, -u + 190 = 4*f - 7475. Suppose -1483 = -8*w + f. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 61 + 17)*(-2*j - 4*j + 3*j) in the form a + p*j and give p.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-387)\/(-42)*(-16)\/24 and -111\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 35*v - 73. Is 2 a factor of h(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68393.\nAnswer: 13, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76344, -148302, -220262, -292224, -364188?\nAnswer: -436154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 0*c + 10 = 2*c, -p = -2*c - 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(-6*s**5 + 153*s - 153*s).\nAnswer: -6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3820 - 4108 + 6712 = -38*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 4*x + 19 = 50 - 19 - 16, 4*x = -5*t - 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = 2978*b - 2987*b + 18, -b = 4*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-10))\/(42\/30 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 23d - 5?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 3485, 0.0584, -1.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 4 - 4)*(9*r - 3*r + 3*r).\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:08 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kukkuuuukuluulkkkk. What is prob of sequence kl?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522308, -522309, -522310, -522311?\nAnswer: -522312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 10:32 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -0*w - 2*m + 792, -3*m - 1218 = -3*w. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21 + 0 + (-75)\/105?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 12*d - 4. What is k(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*f = -478*f + 269048. What is the greatest common divisor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53160615, 53160612, 53160609, 53160606, 53160603?\nAnswer: 53160600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30.13 and 0.1.\nAnswer: -3.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4\/5*k**2 + 0*k + 0 - 2\/5*k**5 + 6\/5*k**3 + 0*k**4 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.71 - 51.29. Let u = 47.6 + d. Let t = u - -6.28. What is t rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**4\/3 + 290*b**3 + 866*b**2\/3 - 290*b - 868\/3 = 0. Calculate b.\nAnswer: -434, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = m + n + 2, -4*n + 1 = 3*m. Let v(c) = -14*c + 1. Let r be v(m). Calculate the greatest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 4*u**2 + 147*u + 779. Determine m(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fiiiivffieiiffvvfi. Give prob of sequence ve.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Differentiate 0*l + 3 - 2*l - l + b*l wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = s + 9. Suppose 3*f + 2*p = 7, 4*f + 4*p - 3 = 9. Calculate the remainder when s\/3*(1 + 0) is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - r - h + 13, r = 3*h + 21. Solve 3*i - s - 1 = s, -s = 4*i + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*m**4 - 78*m**3 - 203*m**2 wrt m.\nAnswer: 96*m - 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.584736m in nanometers?\nAnswer: 5584736000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -181, -204, -247, -316, -417?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one halves of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - j - 21 = 3, -5*s - 5*j + 5 = 0. Suppose -h - s*q = 6, 4 = -h - 6*q + 2*q. Solve -8*f + h*f + 12 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.39634 rounded to two dps?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -42316216 + 0\nAnswer: -42316216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 1, s: 1, h: 2, p: 1, e: 1}. What is prob of picking 1 e, 1 s, and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 462 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzhzzhhzzhzhzzz. What is prob of sequence hhz?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2 + 17*v**2 + 9 + 550*v - 556*v. What is the remainder when t(3) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*f - 15*f + 4985 = -159*f - 14840 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 521\nAnswer: 31\/521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.116\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -12. Suppose z*p = 999 + 109. Suppose p = 5*c + 97. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36344 - -99809. Suppose -180134 - i = -19*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 97862391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/2 - (8536\/132 + -74)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*((4*(5 + -2 + -2*sqrt(245))*-1)**2 + -1).\nAnswer: -2688*sqrt(5) + 31646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * 13028.1\nAnswer: -9119.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -4635.676916 and 3.\nAnswer: -4632.676916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 145\/11 + (-16)\/88. Let i(w) = w**2 - 10*w - 33. Let k(q) = q**3 + 8*q**2 + 6*q - 1. Calculate the least common multiple of k(-7) and i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r**3 - 16\/3*r + 2*r**2 + 2.\nAnswer: 2*(r - 1)*(r + 3)*(2*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80458, 80315, 80078, 79747, 79322, 78803, 78190?\n\"Answer: -47*j**2 - 2*j + 80507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50755 rounded to the nearest one thousand?\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33.2639 + -0.8439. Round d to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j - 1. Let v(r) = -r**3 + 5*r**2 - 5*r - 4. Let z = -3 - -7. Let q be v(z). Let d(a) = 20*a + 3. Let i(m) = q*f(m) - 3*d(m). Determine i(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 0 + (6*sqrt(375))\/(sqrt(5)*-1*3))*-6.\nAnswer: 60 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p + 40. Calculate f(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = -1. Suppose 0 = -3*o - 2*n + n + 50, 71 = 4*o - w*n. List the prime factors of o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610392610?\nAnswer: 2, 5, 2657, 22973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + -3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2892\/24*(0 + 2)*1. Let i = l - 237. Is 22\/7 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123021 (base 4) to base 13.\nAnswer: -a38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -47 (b) 2\/19 (c) 3\/4 (d) 235\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8, -14, -16, -14?\n\"Answer: 2*a**2 - 12*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5 = -p - y, 12 = 2*p - 3*y. Let a be (-6)\/(-15) + 116\/10. Suppose -5*r = -a - p. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -4835737466?\nAnswer: -4835737466.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51214, 51192, 51170, 51148, 51126?\n\"Answer: -22*t + 51236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 122? (a) -0.4 (b) -258 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -318, -478?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/((-48)\/30)*-1. Solve n*p = -2*l - 13, 3*l + l = 3*p + 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108.54 less than 2?\nAnswer: -106.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -0.1, 1, -1\/3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 779 and 9881.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - n - 77 = 3*c, -2*n = 5*c - 110. What is the greatest common divisor of c and 4296?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30319?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 0.2, -196?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 0.05. Let n = -0.35 + l. Round n to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -24.3. Let z = -0.1 - j. Let w = 6.4 + z. Which is the closest to -0.1? (a) 1 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 - b + 2. Let n be q(-2). Suppose h + n = 3*i, 2*i + 2*h - 1 = 31. Suppose 4*u - 93 - i = 0. What is the highest common factor of u and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64462 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 + 57*z - 270. Calculate y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9681 divided by -5?\nAnswer: 9681\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2 (c) -0.4 (d) -0.456\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225468 is divided by 37575?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -41, -0.2, 5, -43, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1532 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -w + 1. Suppose -w = 3*c - 8, 5*c + 28 = o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**5\/3 + 7*o**4 + 70*o**3 + 440*o**2\/3 + 118*o + 33 = 0. What is o?\nAnswer: -3, -1, -3\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -72 - -72. Let t(d) = d**3 - d**2 + 3. Give t(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593*h = 601*h - 31168. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((3\/(-2))\/(-1))\/(1269\/(-976284)). Sort y, -1, 3.\nAnswer: y, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/10)\/((-2)\/6))\/((-217434)\/23380)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -26. Let f be 2 + 15\/(3\/p). Is (f + 2)\/(6\/(-402)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9863*k**2. Let p(w) = 875*w. Give p(v(o)).\nAnswer: 8630125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziwszzzztttzltw. What is prob of sequence isw?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 59 = -8*k. Suppose 0 = 6*q - 227 + k. Suppose 7*i - q = 7. Solve i = -3*n - 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -441*a**3 + 95259*a**2\/8 - 599841*a\/8 + 255\/4 = 0.\nAnswer: 1\/1176, 10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010277 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 33440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 37669893.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21daff (base 16) to base 4\nAnswer: 20131223333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.26868*0.3\nAnswer: -0.080604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 7:34 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**3 - 2*o**2 + 1. Let f(d) = d**3. Let b(g) = g**2 + 12*g + 8. Let a be b(-11). Determine a*f(m) + w(m).\nAnswer: m**3 - 2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 40\/14027?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 2*r - 17 + 6)*(-789 + 1354 - 765).\nAnswer: -400*r + 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 2*b**3 + 27*b - 27*b - 7*b**3 + (3 + b - 3)*(b**2 + 12*b**2 - 5*b**2) as g*b + j + o*b**2 + l*b**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q**(-2\/3))**(5\/9) assuming q is positive.\nAnswer: q**(-70\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*g - h + 38, 4*g - 3*h + 126 = 0. Let x = 31 - g. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25859 is divided by 25801?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(20\/14) + -1. Let l(i) be the first derivative of -1 - 8\/15*i**3 + w*i - 3\/5*i**2. Factor l(m).\nAnswer: -2*(m + 1)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 21*q. Let v(i) = -7*i. Let x(h) = 2*l(h) + 7*v(h). Let m(d) be the second derivative of 0*d**2 - 1\/4*d**4 + 0*d**3 + 13*d + 2. Calculate m(x(r)).\nAnswer: -147*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**5 - 48*v**4 - 176*v**3 - 152*v**2 + 180*v + 200 = 0.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 9:18 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) - 12\/30. Suppose -3*c + 2*d - 59 = 0, s = -0*c - 2*c + d - 40. Let l = 30 + c. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l + 36 = -7*l. What are the prime factors of l - -268 - 5 - -1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/2223 and 151\/6462.\nAnswer: 1596114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22011 = 431*a + 9851 - 1692 for a.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3014888 and 57390?\nAnswer: 3826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25604 times 3537?\nAnswer: 90561348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3552 (b) 30 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-30)\/s**(-11\/2)*(s*s**16)**(-13) assuming s is positive.\nAnswer: s**(-491\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 18*z - 47*z + 7729. What is the remainder when z is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 5*p + 3. Let h be f(-6). Let z be (-1 + 1)*(4 + h). Factor 3*v**4 + z*v**5 - 4*v**4 + v**2 + v**5 - v**3.\nAnswer: v**2*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/111*66\/(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*-8*6\/(-8)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 4, 5\/2, -0.08, -6 in increasing order.\nAnswer: -6, -1\/2, -0.08, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9612 divided by 356\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/21919 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w = 2*h - 14*w - 24, 2*w = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10320517?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttmmtvctmmvvmvmcvm. Give prob of picking 2 v and 1 t.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 + 224. Let u be (-6)\/21 - (-80)\/w. Solve j + 0 = 5*x + u, 6 = 4*x + 3*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -128002*i**3 + 66858*i**2 wrt i.\nAnswer: -768012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from kkntnkntnnnn.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/((-24)\/16))\/(10\/45). Suppose -7 = p - 26. Solve -5*j - 2*t = -p, 5*j = -0*t + k*t + 34 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 35 = -13. Let g be (-20)\/6*18\/s. Let o = 6 + g. Solve 0 = 2*v + o - 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/76 and (10\/(-25))\/((-48)\/1220).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 1 + 5*b + 0 - b**2. Let m be f(12). Is 13 - m\/((-1)\/(-2)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440698 is divided by 635.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24772 or -767?\nAnswer: -24772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2600537104 from 58.\nAnswer: 58.2600537104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**8\/560 + v**7\/35 + 3*v**6\/25 + v**5\/50 - 23*v**4\/40 - 6*v**3\/5 + 135*v**2. Solve j(s) = 0.\nAnswer: -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 9:17 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 9*p - 3*p + (p + 0*p - 2*p)*(0 - 3 + 1) + p - 4*p + 2*p)*(-13*p**2 + 64*p - 64*p + 2*p**3).\nAnswer: 10*p**4 - 65*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12.2 and 246668.9432425.\nAnswer: 246656.7432425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(6*(sqrt(112) + (sqrt(112) - 3*sqrt(112))**2) - (-3 + -4*sqrt(1008) + sqrt(1008) + sqrt(1008))).\nAnswer: -5382 - 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-10))\/(12\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354*w - 10065 = -9588 + 19833 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 20, -2 in decreasing order.\nAnswer: 20, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 9*r**2 - 15*r + 4. Let c = -3 + 9. What are the prime factors of i(c)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.415145 tonnes in grams?\nAnswer: 3415145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 5, 8, 13, 20, 29, 40?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 821323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57957477 is divided by 3924.\nAnswer: 3921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 10:50 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2132 times 0.2166?\nAnswer: 461.7912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147*o - 126*o + 3136 = -175*o for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4693 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 38809275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 33 = 16*g. Solve -5*t + 16 + 24 = -3*d, g*d = -3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(405) + 4)*5*4 + -2*(0 + (sqrt(405) + 4 - sqrt(405) - sqrt(405))))**2.\nAnswer: 28512*sqrt(5) + 201202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-12)*6\/5. Let o be (23000\/(-6))\/(n\/360). What is o rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - a + 4*a + 144 = 0, -a - 154 = 3*u. Let x = u - -100. Determine b so that 24*b**3 + 9*b**4 - b**2 + 23*b + 4*b**2 - x*b - 12 = 0.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from qreegrqesarqqea?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 b, and 1 c when three letters picked without replacement from {k: 1, f: 2, b: 2, e: 2, c: 7, m: 1}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -158872, -317739, -476606, -635473, -794340, -953207?\n\"Answer: -158867*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, -4, 0.012?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.0046 - 0.0046. Let p = -143 + 118.2. Let x = p + d. Is x at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 18*l**3 - 5*l**2 - 5*l - 9. Let s(m) = 57*m**3 - 19*m**2 - 17*m - 27. What is 7*d(k) - 2*s(k)?\nAnswer: 12*k**3 + 3*k**2 - k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 78 = 5*j, 3*j + 0*t - 5*t = -22. Let n = j + 27. Calculate the remainder when 37 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 6*b - 35. What is the tens digit of i(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(945\/224))\/(16\/(42 + 6))?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 282313407 to the nearest integer?\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 75*s + 131. Let q be g(-2). Sort q, -4, -6 in ascending order.\nAnswer: q, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-7 - -7) - (-2 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 28, 2, 40 in ascending order.\nAnswer: 2, 4, 28, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + (0 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -430 - -775. Does 34 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22233 - 311310?\nAnswer: -1000203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3447)\/(-270) - (-1)\/5) + -7*177\/4130?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62780615 a multiple of 1686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*o = -121496 + 121498, -7*o = -5*r - 34 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4145255 is divided by 238.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from unnprmum?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -366 in -34, -51, 0.3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2536549 is divided by 317053.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1077 - 1027. Solve -5*m = 5*m + u for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1008)*1)**2 + sqrt(1008) - sqrt(1008))*-2.\nAnswer: -2048 + 192*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*-4*(sqrt(68) + sqrt(68)*1)*-5*-3 + 1.\nAnswer: 5 + 1440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/26373 and 119\/132522.\nAnswer: 1165000902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8813 - -8901. What is the remainder when 1326 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3.6. Let x = 7 - 4. Let i(w) = -52*w + 779. Let h be i(15). What is the nearest to h in x, 1\/6, k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 3:19 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 - f + 4. Let b be q(-6). Suppose 2*g - b = g - 5*x, g - 2*x - 38 = 0. Calculate the remainder when 177 is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**2 - x**3 + 7*x**2 + 5*x + x**2. Let y be m(6). What is the units digit of (y\/4)\/((-6)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 1320 = 24*l. Let s be (1*2)\/((-2)\/4). Let j be (-2)\/s*l\/(-18). Are j and -3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Suppose 5*i + 32 = p, -5*p + 10*p = -i + 238. Suppose -18*g = -29 + p. Put g, 2, f, 4 in descending order.\nAnswer: f, 4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 + -3dc0?\nAnswer: -3e08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/554 and 53\/3878.\nAnswer: 3878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.034 and -1371.\nAnswer: -1371.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -61.924. Let d = -0.076 - l. Let r = -0.24 - -0.44. What is the nearest to -4 in r, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v**2 - v - 2. Calculate q(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - n**3 + 3*n**3)*(-280*n - 7015*n**2 + 154*n + 126*n).\nAnswer: -14030*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 6:15 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199.06 nanoseconds in microseconds?\nAnswer: 7.19906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 4*d - 4*d)*(-2*d + 5 - 4 + 1).\nAnswer: -4*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -5 (c) 0.3 (d) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 133 = 5*p, -w = 13*p - 18*p - 27. Let q = 33 - w. Which is the fourth biggest value? (a) q (b) 39 (c) 2\/9 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {d: 2, b: 4, k: 1, q: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1190 and 747558?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -214248\nAnswer: 214253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (7 + -7 - 7) + -20.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 - 1. Let h(p) = 7*p. Calculate h(k(b)).\nAnswer: 56*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, -346104.\nAnswer: -346104, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - 2*y**3)*(0 + 0 + y) + 0*y**4 + 2*y**4 - y**4 - y**4 + 0*y**3 + 4*y**2 + 0*y**3 - y**3.\nAnswer: -2*y**4 - y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/13)*r\/(r*r**20))\/(((r\/r**21)\/r)\/(r*r*r\/(r*r**(-34)))))**(-15) assuming r is positive.\nAnswer: r**(-7380\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 25616e (base 15) to base 16\nAnswer: 1b59c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(-4) + (-1)\/(-4). Let o = -400\/3 - -135. Which is the nearest to -1\/2? (a) t (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35\/66624 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4452 divided by 4?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-102)\/12 - (-7)\/((-7)\/(-2)))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/3650 and -29\/61685.\nAnswer: 616850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-6 + 0)) + -602 + 716 + 4 + 2?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24c6 (base 13) in base 12?\nAnswer: -3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 15. Let y(l) = -2*l - 6. Let r be y(-3). Put v, 1, r in decreasing order.\nAnswer: v, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 1626627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gffd. What is prob of picking 1 f and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + k = -k - 28, 34 = 4*n - 2*k. What is the third derivative of 10*m**2 + 2*m**n - 3*m**3 + 3*m**3 + 5*m**6 wrt m?\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 9*r - 36 = 0. Let a be 2\/(-5) + r\/(-5). Calculate the common denominator of -77\/10 and (-57)\/48 - 1\/a.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-126)\/147*14\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103350475945 - -9.298.\nAnswer: -103350475935.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -195*x**2 - 26. Let f(y) = -39*y**2 - 5. Determine -5*c(h) + 26*f(h).\nAnswer: -39*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10800073 to the power of 1\/2, to the nearest integer?\nAnswer: 3286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 20 = 0, -2*d + 5*d - f - 10 = 0. Let h = 98 - 93. Suppose -82 + d = -h*q. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 4*d + x - 12, -5*d = -2*x - 36. Calculate the remainder when (6 - 2)*(-15)\/(-4) is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5\/34, -2.2, 0.4, 10\/67?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 5:15 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112313 + -12?\nAnswer: 112301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from evvfyfeyvv. What is prob of sequence ff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/25 in -1, 0.0041, -2\/11, 2\/9, -2, -12\/23?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -485 - -251. Let p = -221 - m. Let b be (-4)\/18 - 938\/(-9). Calculate the highest common factor of b and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5503 - 5505. Let s(d) = -7*d**3 + 2*d**2 + 2*d + 3. Give s(r).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = 4*u - 5*j, 107 = 2*u + 2*j + 31. Let c = 318 - 255. Let l = c - u. Does 10 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 294*o.\nAnswer: -3*o*(o - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 2*d**2 - 13*d - 3. Let b be k(-4). Suppose -5*x - 432 = -b*x. Which is greater: x or 73\/2?\nAnswer: 73\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 1. Let w(x) = x**2 - 6*x + 2. Let m be w(z). Let d(b) = 2*b**3 - 2*b**2 + 2. List the prime factors of d(m).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024662983 to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4550.58 * 326\nAnswer: 1483489.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -16608118\/31 and -535746 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from bteesebssstthees?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -129.\nAnswer: 4\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -113?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 103996543 a multiple of 401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31495037.\nAnswer: 7, 139, 32369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -82*o**4 + 92976*o**3 - 82*o**4 + 17457*o + 1633 - 181 + 69804*o**2 + 3 - 28*o**4 = 0.\nAnswer: -1\/4, 485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (sqrt(204)\/sqrt(12))**2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -47*a - 14 - a**2 - 2*a**2 + 55*a + 2*a**3. Let l = 128 - 123. Is f(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111 - 20211210001?\nAnswer: -20211201120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764587 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1691.5208 + -1691. Round b to 2 dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3108 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1357 = 239. What are the prime factors of o?\nAnswer: 2, 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 89\/6. Let o = 0.19 + -1.19. What is the biggest value in x, -0.5, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t - 5. Determine q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 149, 109, 13, -163, -443, -851, -1411, -2147?\n\"Answer: -4*w**3 - 4*w**2 + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4181088*n**2 + 1802531.\nAnswer: -8362176*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1203\/35 - -4741\/420. Let l = z + 19\/3. Calculate the common denominator of -53\/8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 377619.12 + -355464. Let t = -22157.7799436 + z. Let b = -2.66 - t. What is b rounded to 6 dps?\nAnswer: -0.000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-430)\/(-8) + 230\/184 and 44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2. Suppose 4*d + 2*s - 2 = 0, -d - 12 = 5*s + 1. Suppose 2*i - d = 2. Let y(n) = -i*n + 3*n - 4*n + 0*n. Give y(g(f)).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + sqrt(112) + sqrt(21)\/sqrt(3)*-4 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -24 (b) -154 (c) -11 (d) 406\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 22827*o + 68482. What is c(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20341504 (base 7) to base 13.\nAnswer: -47a39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -34c0 - -5804?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 539\/21021*3*481?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l**3 - 37*l**2 + 6*l - 101. Calculate the remainder when p(7) is divided by 100.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 10 = -5*d, -3*d - d = 5*t + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -445, -722, -1037, -1402?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 86 - 10. Let y(w) be the second derivative of 0*w**2 + 1\/45*w**6 - 1\/9*w**v + 1\/126*w**7 - 2*w - 1\/20*w**5 + 2\/9*w**3 + 0. Factor y(a).\nAnswer: a*(a - 1)**2*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/80 and 7\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 3*z - 5*z)*(-4*z**2 - 2*z**2 + 3*z**2) - 2*z**2 + 2*z**3 + 2*z**2 + (-z**3 - 2*z + 2*z)*(1 - 3 + 1).\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/(-35) - 2\/7. Let d be (-2)\/(-15) - 6\/45. Suppose 0 = 4*c - d*c + 4. Is c at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2837.76548 rounded to 0 decimal places?\nAnswer: -2838","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.25 + 15.25. Which is the closest to -0.1? (a) 1 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eueeduuhedde. Give prob of sequence hd.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -50*o + 35000. Suppose -4088 = -6*t + o. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 5*b**4\/8 - 23*b**3\/2 - 18*b**2. Does 12 divide z(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 1404.\nAnswer: 49140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by 142?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243628 is divided by 926?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 0 + 4 - 2. Suppose -4*l - 8 = -2*l. Let i = l + f. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -38. Let g = -57.4 - -72.4. Let w = g - v. What is the nearest to 1\/4 in w, -4, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 408, 474, 690, 1134, 1884, 3018?\n\"Answer: 13*y**3 - 3*y**2 - 16*y + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**5\/60 + 3*l**4\/8 + 6198*l**2. Give c(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 486, 3308, 10950, 25818, 50318?\nAnswer: 86856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (15 - 9) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -2.1. Let z = 18 + -55\/3. What is the closest to n in -2\/9, z, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1058416, -28, 2 in ascending order.\nAnswer: -28, 2, 1058416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42694, -66534, -90374?\n\"Answer: -23840*y - 18854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z + 285 - 564 + 290 - 14*z.\nAnswer: 3*z + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1171*p**3 + 6*p**2 + 6*p - 9. Let w(h) = -1172*h**3 - 8*h**2 - 7*h + 12. What is 4*o(m) + 3*w(m)?\nAnswer: 1168*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2862617647 to the power of 1\/2, to the nearest integer?\nAnswer: 53503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21315 divided by -21.\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/212 and 53\/18579612.\nAnswer: 984719436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/(g**(-2\/7)\/g))\/g)\/g*g\/(g*g**(-3)))**(1\/14) assuming g is positive.\nAnswer: g**(15\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 14 + (-17560)\/1317?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 1, n: 1, j: 2}. What is prob of sequence nmj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7*j + 25, 5*j - 33 = 4*f. Let y be f\/(1*2\/2). Let q be (y*1 - -26)\/1. Calculate the highest common divisor of q and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-10 - -1) + (41 - 22))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 347*b**3 - 6*b**2 + 3*b - 15. Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 7:45 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 661416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/2, -3, 0.43?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + x = -6, 3*k + 3*x - 9 = 5*x. Suppose -s - 5 = 2*i, s + 3 = 8. Let h be 20\/(-24)*1\/i. Which is bigger: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = 93 - 807. Let 12*k**2 + v*k + 2*k**3 - 102*k = 0. What is k?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0221969348 rounded to five decimal places?\nAnswer: -0.0222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -441, -1704, -3801, -6732, -10497?\nAnswer: -15096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 168083 by -1205.\nAnswer: -168083\/1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76315 and 1?\nAnswer: 76315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*f**2 - d*f + 260941*d - 4*f**2 - 2043085 wrt d.\nAnswer: -f**2 - f + 260941","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -131*(-7 + 4) - -3. Calculate the greatest common factor of 44 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*b + b + 124, 3*b + 3*q = 216. Suppose -73 = -v - b. Suppose 55*h - 26 = 54*h. Calculate the smallest common multiple of v and h.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.4 (b) 5 (c) 0.3 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 104\/291185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1389\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 94?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/14)*(z*z\/((z*z**8)\/z*z)*z)\/z)**(1\/6) assuming z is positive.\nAnswer: z**(-97\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71743486?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.002 + 0.002. What is the nearest to 1 in n, -0.1, -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)*n**(4\/5))**(-1\/2)\/((n**(-5)*n)**(-36))**(-5\/3) assuming n is positive.\nAnswer: n**(1218\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7 - 8 = 0. Suppose 59 = k*d - 16. What is the highest common factor of 75 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -23*a**2 + 47*a + 63. Let y be j(3). Let c(s) = s - 1. Let o(r) = 10. Determine y*c(n) - o(n).\nAnswer: -3*n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + w - 26, -46320*x = -46319*x + 3*w - 14 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31049 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -460 + 461. What is the thousands digit of 4\/((-12)\/(-3183))*i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 0. Suppose 108 = -r*t + 7*t. Suppose -3*d + 2*d = -t. Is 10 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + (-7)\/(-21). List the prime factors of 7\/(m + 1\/5).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -177 + -392641?\nAnswer: -392818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324050217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = 0, -r - b + 5*b - 13 = 0. Suppose -x + r*y - 57 = -4*x, 16 = x - 2*y. Let d = -13 + x. Solve -d*o = -17 - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*g**2*v**3 + 3*g**2 + 54*g*v**4 - 2*g + 38*v wrt v?\nAnswer: -42*g**2*v + 648*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o - 9 = -5*a, -2*o + 4*a + 6 = 0. Suppose 2*x = o*x + 7. Is -6 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4866640 and 23368?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*r - 17. What is the third derivative of 3*h**r - 9*h + 3*h**2 + 9*h wrt h?\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12706 - -1.29564. What is l rounded to two decimal places?\nAnswer: 1.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4514\/(-6405) - (1 - 209\/231)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 18*q**2 + 26*q - 249. Let b(l) = -75*l**2 - 105*l + 999. Let g(d) = -5*b(d) - 21*w(d). Suppose g(u) = 0. Calculate u.\nAnswer: -13, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41875*j**5 + 5*j**4 + j**3 + 6977540*j.\nAnswer: 837500*j**3 + 60*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (118*a**2 + 448*a**3 - 252*a**2 + 3009*a**3 + 133*a**2)*(-2*a - 3*a + 3*a + 5*a - 2*a - 2*a + (3 + 2 - 4)*(-2*a + 2 - 2) + 0*a - 4*a + 2*a).\nAnswer: -17285*a**4 + 5*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-232)\/(-28) + (-4)\/14. Suppose -h - f = -i + 10, 0 = -2*i - h + 24. Let l = 77 - i. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w - 16*w + 109 - 4 = 0. Let r(o) = 106*o. Let h be r(6). Find the common denominator of 37\/6 and -1 - (h\/(-40) + w).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18894 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*x, -20*f + 24*f + 5*x = -81 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2252 = 7*h + 2182. Suppose 7*x = 2*v + 4*x + 4, 4 = -v + 2*x. What is the remainder when h is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -10110000?\nAnswer: 10110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440512 (base 9) in base 6?\nAnswer: 44225402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -41\/3*y**4 - 266*y**3 - 1\/5*y**5 + 882*y**2 - 2 - y. Find r such that z(r) = 0.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/16*-10*-12. Let a = o - 16. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/7)\/(-2 + (-168)\/(-49)). Solve -x*u**5 + 1\/5*u**3 + 0*u**4 + 0 + 0*u**2 + 0*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j - j**2 - 3*j - 2 + 3*j + 3*j**2. Let v(a) = -4*a**2 - 3*a + 5. Let d(l) = 5*p(l) + 2*v(l). Let d(q) = 0. What is q?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/(-336)*8)\/10*2)\/((-7)\/(-1743)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:43 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111001 - -111011011?\nAnswer: 1101010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l. Let g(o) = -o**2 + 875832. Give g(i(t)).\nAnswer: -4*t**2 + 875832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -79, -65, 7, 167, 445?\nAnswer: 871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -500883\/77?\nAnswer: -500883\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -140. What is the third derivative of -200*n**w - 102*n**3 + 6*n**4 - 111*n**3 + 212*n**3 wrt n?\nAnswer: 144*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (7 - (-8 - -11))*(-12313)\/4. Is 8\/12 - a\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 3. Suppose -d*x + 11 = 1. Suppose -3*h + 2*h + 5*z = -31, 0 = -5*h - 4*z + 10. Calculate the least common multiple of h and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((81\/(-30))\/3)\/(((-118)\/20)\/59)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*n - 193 = 0, -3*n - 25 = -8*n. Let o be 26\/b + 14\/(-42). Which is greater: o or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 37*o**2 - 11*o - 1. Let v(p) = 228*p**2 - 65*p - 8. Let f(z) = -37*d(z) + 6*v(z). Calculate f(14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6805139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9900 and 8902080.\nAnswer: 44510400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3671 - 0.0329. Which is the smallest value? (a) 1 (b) r (c) -2\/3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1457 and 2852.\nAnswer: 134044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*l**3\/7 - 100*l**2\/7 - 62*l\/7 - 12\/7 = 0.\nAnswer: -1, -3\/5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, -2\/33, 8, 4\/7 in descending order.\nAnswer: 8, 4\/7, -2\/33, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -1. Let q = -498 - -639. Let t = 140.7 - q. What is the biggest value in t, u, 0.4, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 51*k - 625. Let d be s(-21). What is the nearest to 0.4 in 4\/5, d, 201?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -12\/7, -128.8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2960\/(-15540)*(-7)\/12?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-45) - -1*27\/15. Suppose -5*y + 8 = -i. Factor 0*h - 2\/3*h**y + 2\/3.\nAnswer: -2*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -28 (c) -0.053 (d) 7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5, -3*b + 5*f - f + 8 = 0. Find l such that -2\/9 + 0*l - 2\/9*l**b + 0*l**3 + 4\/9*l**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 2*k + 23, -2989*m = -2990*m + 2*k + 17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.6 minus -0.1873?\nAnswer: 548.7873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(8064))\/(sqrt(32)\/sqrt(4)*6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3130\/133 - 164\/7. Let p = 0.2 - 0.7. Let d = p + 0.7. Sort d, 1, a in increasing order.\nAnswer: a, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*o + 2*o**2 + 1111*o**3 - 1125*o**3 + 0*o**2.\nAnswer: -14*o**3 + 2*o**2 + 45*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -47, -69, -91, -113?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -2.3, 3, 0.4, -2\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + (-99)\/18)*-4. Suppose -482 = 4*h - v*z, -2*h + 45*z - 42*z = 235. Are h and -124 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2931.8 + -2925.8. Let h = 8 - 5. Let u = 1 - h. Which is the third biggest value? (a) -4 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -53, -85?\n\"Answer: -32*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -593, -888, -1183, -1478, -1773?\n\"Answer: -295*a - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - f + 10 = 0, -2*g + 4*f - 2*f = -4. Suppose 10 = 4*n - 5*v - 25, 0 = -4*v - 12. Suppose 0 = 4*s - 17 + n. Is g at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 157 - 98. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90133722 divided by -1112762?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g + 0*g**2 + 16 + 3\/2*g**4 + 73\/20*g**5 + 0*g**3. What is the third derivative of z(b) wrt b?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrpprrrrrrrrrpr. What is prob of sequence rpr?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/6 - (-11)\/(-2). Is 1*(m - 20986)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 5 - (0 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*w*x**3 - 125*w*x**2 wrt x.\nAnswer: 744*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 223903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001115 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*a + 27 = q - 38*a, 4*q + 5*a - 53 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/9 (b) 0.68 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13186 divided by -1?\nAnswer: -13186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**4 - 111*t**2 + 3*t**4 + 126*t**2 + 37*t**6 wrt t?\nAnswer: 4440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 570\/(-171)*(-11)\/110?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of c - 2\/21*c**4 + 1\/70*c**5 - 2\/7*c**2 + 1 + 5\/21*c**3. Let m(v) be the first derivative of k(v). Factor m(a).\nAnswer: 2*(a - 2)*(a - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 213, 415, 623, 849, 1105, 1403, 1755, 2173?\nAnswer: 2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 6)*(-49599807*u**3 + 49599807*u**3 + 4974*u**5).\nAnswer: -4974*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -35, -90, -167, -266, -387?\n\"Answer: -11*n**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.3, -0.2, -1, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {a: 16, c: 4}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -9 - 8*a - 143*a**2 + 69*a**2 + 64*a**2. Let t(c) = -c**2 - c - 1. Calculate 2*b(s) - 18*t(s).\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 21523215857.293.\nAnswer: 21523215858.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgzizizpipzgg. What is prob of picking 1 i and 2 g?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1298 is divided by 604.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/5 in 2\/7, 3\/8, -3\/4, -4, 2, 4646?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6) + (62 - 96) + -11 + 14\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-7) + (-682)\/(-77) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84\/11 or 6\/11003?\nAnswer: 6\/11003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -64*l - 1278. Let p be b(-20). Solve p*q - m - 12 = -11, 5*q + 2 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/7 + (-2561)\/1456 and -61\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbpj when four letters picked without replacement from {b: 6, j: 6, p: 7}?\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 683, 670, 621, 518, 343, 78, -295, -794?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -21*j**5\/5 + 13*j**2\/2 + 15. Find the second derivative of v(w) wrt w.\nAnswer: -252*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from vvmlmvvqq?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/70)\/(20*(-2)\/(-100)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4 - 368*g + 604*g**2 - 184*g - 1635*g**2 + 142*g - 5 wrt g.\nAnswer: -2062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 9 - (-9 - (5 + (-13 - -5)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:56 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, d: 5, k: 1, s: 4, j: 1, p: 3}. Give prob of picking 1 s, 1 p, and 1 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 407, 4, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6546, -13101, -19660, -26223, -32790?\nAnswer: -39361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q = 8*q - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.324 - -16.4. Let x = -0.924 - i. Sort x, 5\/2, -0.045 in ascending order.\nAnswer: x, -0.045, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/195 - 256\/(-26).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + 17. Let a = 27 + -19. Calculate the smallest common multiple of a and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 440 - 255. Let p = z + -331\/9. Which is the closest to p? (a) -4 (b) -5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 4 - 2 + 197*t**3 - 2.\nAnswer: 197*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67.86 - -69. Let m = -11719870 + 11719868.8599939. Let g = k + m. Round g to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 16?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -18004*j + 42 - 42 - 1622*j**2 + 18005*j. Let l(v) = -v. Calculate l(p(d)).\nAnswer: 1622*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 2:45 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, 11\/2, 15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 4*x - 6, 26*z - 28*z + 19 = 5*x. Solve 5*r = -z*a + 20, -14*r = -10*r + 2*a - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -1 + 1 - (18 - 20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079*l + 36 = -1081*l + 4*f, l + 2*f = 2 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-15))\/((((-496)\/160)\/31)\/3)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 0 - (3 + -11 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.1 (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20 - (-21 + 19 + 13). Solve j - a = 2*b, -8*b = -3*j - 10*b + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*w**4 - 154750*w**3 - 7717148 wrt w?\nAnswer: -8*w**3 - 464250*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - k + 24. Let n be r(-5). Let d = -14 + 6. Let s be d\/(-320) - n\/10. Which is the third biggest value? (a) 2 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/7)\/((-16)\/(-112)). What is the smallest value in t, -6, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*h + 27, 13*l - 10 = 15*l. Let n be -4 - (-1 - 3) - -3. Let 0*x + 1\/6*x**2 - 2\/3*x**h + 0 - 1\/2*x**n = 0. Calculate x.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -130?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18838*k**3 - 2*k - 1. Is y(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128*k**2 + 45*k wrt k?\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 26471 = 4*x - 35070, 0 = x - 4*s - 15369. Suppose 0 = -n + x + 1311. Round n to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 58*p - 174. Let x be d(3). Let t(n) = 14*n - 2. Let v be t(3). Suppose x = -6*y + v + 68. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -76. Let v = -14 + -4. Let q = v + r. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*q = 19 + 62, -q = -3. Find the first derivative of -28*v - 14*v + v**2 - v + 0*v**2 + x + 9*v wrt v.\nAnswer: 2*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18 = -3*b, 79 = 13*b - y + 1. Solve -v - b = -r + v, 4 = -v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 536 = 41*s + 372. What is the nearest to -2 in -94, 2\/9, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 23*j**2 + 19*j - 41. Let g be q(18). Calculate the highest common divisor of 153 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -19*m + 1. Let s(y) = 68*y - 47. Let k(a) = -s(a) - 4*z(a). What is k(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -7*k**4\/3 - 300*k**3 + 437*k**2 + 1424*k\/3 - 260 = 0.\nAnswer: -130, -1, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*w + 90, -3*t = -3*w + 71 + 19. Suppose -f + w = -6*f. What is the common denominator of (23\/f)\/(1\/(-9)) and -99\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/7)\/(-2*3\/42). Suppose 4*t = a*w - 1960, -3*t = 3*w - 1253 - 1669. What are the prime factors of w?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, -1.2, 1\/2.\nAnswer: -4, -1.2, 1\/2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 54346.\nAnswer: 31\/54346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-752)\/(-8) - (-6 - -1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 78 (b) 0.1 (c) 0 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 - -1.4359.\nAnswer: 282.4359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5366680 a multiple of 174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*t = 0, 12 = 4*i - 0*t - 4*t. Suppose -204 = 8*n - 2*n. Let p = i - n. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2647253999 to the nearest integer?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 152*o**2 + o - 2. Is 13 a factor of d(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261624511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1 - 9 = 0. Let l = 3\/4 - 5\/4. Which is the nearest to -1\/2? (a) l (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -229?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.024443 + 248.291\nAnswer: 248.315443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -5, 0.3, -0.15, 5?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 66087*s**3 - 154*s**2 + 77. Let o(h) = 1739*h**3 - 4*h**2 + 2. What is -77*o(l) + 2*y(l)?\nAnswer: -1729*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 16*j**3 + 1376*j**2 - 51*j - 4394. Calculate y(-86).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1201122112 (base 3) to base 9\nAnswer: 51575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2024*0.15.\nAnswer: 0.03036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 206 + 7*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 5*j - 3*j. Suppose 70 - j = 5*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Let z(u) = -u + u + j + u**2. Let h be z(4). Solve -6*v - h = -v + f, -v = 2*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(200)*2 + sqrt(200))\/sqrt(10))\/((sqrt(100)*-2)\/sqrt(10)*-2).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 6)*(1 - 1 + 2*r) + (-1 - 1 + 4)*(-8*r + 0*r - 4*r).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -474*(5 + 14\/(-6)). Let s = g - -2363. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 473838 and 906?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 497682*p**3 - 775901*p?\nAnswer: 2986092*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:46 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 838857\/5 or 167770?\nAnswer: 167770","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49495 is divided by 253.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 = -4*t + 15, -5*t - 4*o = -45. What is the smallest value in t, 2\/5, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1103233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/13*(-19)\/5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.174 - 8.174. Let l = 13 + x. What is the third smallest value in 1\/9, 0.4, -2, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 23. Let l = 1425 - 1005. Suppose 0 = f*s - 26*s + l. List the prime factors of s.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-32)\/(-28))\/4)\/((-992)\/434).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 a factor of 426214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 139. Let m be z\/30 - 2\/(-5). Suppose -3*c + 21 = -0*t + m*t, 15 = 5*c - 5*t. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + -3 + (-311 - -298).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-216)\/52 + 7 + -1. Do z and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -506180, -506212, -506248, -506288, -506332, -506380, -506432?\nAnswer: -506488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (6 + -5) - (-6 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47652 divided by -5.\nAnswer: 47652\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 13) in base 4?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277625 divided by -17035?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - 251*j**2 - 3328*j - 114. Determine g(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.8 + -2.7. What is the fourth smallest value in 1\/9, -1\/3, -2, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifteen quarters of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 205 + -180 - (-424)\/(-17)\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6519310*a*c**4 + 73*a*c - 31*a + 83*c wrt c.\nAnswer: -78231720*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*v - 564 = -187*v + 573 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -83*g + 431. Give r(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3797 less than -101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 124\/28 + 15\/(-35). Solve -4*f = -2*n + 4, 4 = -h*f - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -230, -455, -768, -1169, -1658, -2235?\nAnswer: -2900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 252, 4, 3232 in increasing order.\nAnswer: -6, 3, 4, 252, 3232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/9)*r**(1\/13)*r**(-1\/3)*(r**(4\/3)*r*r*r*r)\/r)\/((r**0)**(1\/54))**(-2\/81) assuming r is positive.\nAnswer: r**(490\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 1. Let i be ((-15)\/(-10))\/((-2)\/(-4)). Let f = 9 - i. What is the remainder when y is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 4*sqrt(17) - (sqrt(102)*-3)\/sqrt(6) - -2*(sqrt(153) - (-2*sqrt(153) + 4)))**2.\nAnswer: -150*sqrt(17) + 10634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 45*x**4 + x**4 + 22 - x**4 - 16*x**4 wrt x.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.663563*-0.08.\nAnswer: -3.01308504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7575*g - 6. Let m(r) = 23361298*r + 18502. Let d(n) = 3*m(n) + 9251*y(n). Let t(o) = -o. Give t(d(q)).\nAnswer: -7569*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**4 + x**3 - 9*x**2 - x + 11. Let a(d) = -d**4 - d**3 + 8*d**2 + 2*d - 10. Let j(h) = -3*a(h) - 2*s(h). Let j(m) = 0. Calculate m.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -162*u - u**2 + u**2 - 4*u**2 + 181*u - 18 + 23 to j*u + g*u**2 + x and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.024.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Let v = 891.2 + -891. What is the nearest to y in v, -3\/5, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggv when four letters picked without replacement from gggvgggg?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12)*(54\/(-24))\/(-9). Let x = 151 - 1361\/9. What is the biggest value in 0, x, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10178, -8985, -7796, -6611, -5430, -4253?\n\"Answer: -2*j**2 + 1199*j - 11375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*b + 24 = 0, -2*b + 5 = -3*o - 8. Let w(y) = -2*y**3 + y**2 + 4*y - 4*y. Determine w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-263 + 552 - 347)*(z**2 - z**2 - z**3) + (-4*z + 0*z + 2*z)*(3*z**2 - 8*z**2 + 0*z**2).\nAnswer: 68*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxaxax. What is prob of sequence xaxx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -25. Let q = 27 + -13. What is the remainder when i is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166480*s**2 + 84431*s**2 + 82051*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160)\/sqrt(5)*-1)\/(2*-2*sqrt(4)))**2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - 7*k - 12. Let r be y(-3). Let o = -179 - -119. Let q = r - o. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 0.5 (c) 5 (d) 0.55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, r: 1, u: 5, e: 4, y: 1}. What is prob of sequence ure?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*x - 2*m + 180 = 0, 3*x - m - 171 = 0. Calculate the greatest common divisor of x and 580.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 550?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 2:25 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/73215 and 87\/130160.\nAnswer: 1171440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -23*s + 855. Determine g(37).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9054763 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 995463?\nAnswer: 37\/331821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.518 - 3.028. Let d = t + 2.509999732. Round d to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c + c - c - 129*c**2 - 50 + 139*c**2 + c**3. Let w be v(-9). Let q(u) = -2*u - 6. What is q(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1009 - -978. What is the closest to 2\/3 in -1\/7, n, -0.6, -1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 2*r - 3. Suppose -3*w + 8*w = -5*s + 25, -4*s - 8 = -3*w. Give j(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z - 21*z - 5*f + 1738, 5*z - 4*f = 2193. Let x = 673 - z. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -2 + (6\/14 - -1). What is the closest to -1\/4 in -2\/9, 4, b?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 49, 3, -6, -3, -159 in descending order.\nAnswer: 49, 3, -3, -4, -6, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1819666 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 2)*26\/(-26)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - k = -9401 + 964, 2*k - 25309 = -3*r. Suppose 651*o - r = 646*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -419, -418, -417, -416, -415?\n\"Answer: u - 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (338 - 330) + 17 + -2 + -6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 324*s + 326*s + 93 to the form q + g*s and give q.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 17. Let p be l(-16). Let w(t) = -10*t**3 + 3*t + 2. Calculate the remainder when 15 is divided by w(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*f**3 + 796650*f**2 + 227592*f = 0. What is f?\nAnswer: -37932\/13, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 take away 320177.16?\nAnswer: -320131.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16479195 or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 + 4469*q + 0*q**2 - 4469*q.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*d - 8 = 0, -2*d - 3 = 3*g - 4. Calculate the smallest common multiple of 9 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 12:40 AM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - a**3)*(-5*a - 2*a - a) + 25*a**4 + 92*a - 92*a + (-3 + 5 - 3)*(5*a - 5*a + 4*a)*(-3*a**3 + a**3 + 0*a**3).\nAnswer: 41*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -109*j - 788. Determine n(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62184043, -62184042, -62184041, -62184040, -62184039?\n\"Answer: k - 62184044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 378 * 0.0289\nAnswer: 10.9242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22352 + -22351. Is w at least as big as -12\/1577?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.7 - -0.1. Let y = q - 3.8. What is the third biggest value in 2, -0.6, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 + 85*i + 150.\nAnswer: 5*(i + 2)*(i + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-33)\/(1*-6 - (-13212)\/4416*2) and 1288.\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 15 = -3*r, 0*r = -3*r - 15. Suppose 23*j - 24*j + 541 = d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*a + 777, -4*a - 3*r = a - 1890. Suppose -a = -0*f + 3*f + 4*l, 5*l - 381 = 3*f. Let c = f - -132. Solve 3 + 12 = c*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*o - 21*o - 6. Suppose -2*c - 3*c + 435 = o*k, k = 5*c + 165. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 14 = v, -2*b + 150299 = -2*v + 150303 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1194196 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66423374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488472049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.48 - -0.08153?\nAnswer: -1.39847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u + 31*u + 84*u**2 - 309*u**2 + 152*u**2.\nAnswer: -73*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**2 - 3*f - 3. Let u(q) = q + 1. What is -5*j(p) - 15*u(p)?\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*x + 5*x**2 + 2*x**3 + 36*x - 19*x in the form t*x + i*x**3 + b*x**2 + o and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -123\/20 - -23\/4. Let n = -10 - -8. Suppose -2 = 4*j + 14. Which is the closest to q? (a) n (b) 2\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*v + 3 = 0, -421*d + 857*d - 18 = 425*d + 17*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 PM and 2:14 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r. Let g(o) = 420*o**2 - 120*o + 3000. Let j(v) = 3*v**2 - v + 25. Let y(h) = -5*g(h) + 600*j(h). Calculate y(u(t)).\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1345 - -3076. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60747 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83662469.\nAnswer: 11, 7605679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 4, 0.2, -38695 in ascending order.\nAnswer: -38695, 0.2, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 49, 53 in ascending order.\nAnswer: 4, 5, 49, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 5*r**2\/2 - 4. Let n(a) = -a. Let v(l) = 2*c(l) - 6*n(l). Find the second derivative of v(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3418 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*g - 906. Find the second derivative of -151 + g - 24*o**3 + 15*o wrt o.\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q**3 + 2*q**2 - 2. Let a(f) be the second derivative of -3*f**5\/20 - f**4\/4 + 3*f**2\/2 - 13*f. Give -3*a(i) - 4*s(i).\nAnswer: i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 4. Let r(c) = 19*c - 5*c - 2*c**2 - o*c - 3 - 3*c. Let a(u) = -u + 1. What is -2*a(y) - r(y)?\nAnswer: 2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, f: 1, a: 2, o: 1, e: 1}. What is prob of picking 1 e, 1 g, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*u = -0*k + 3665, 0 = 3*k + u - 2199. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 + 0)*(3*p**2 - 3*p**2 + 2*p**4 + (-1 - p + 1)*(-p**3 - 9*p**3 + 2*p**3) + (-p + 0*p + 3*p)*(-p**3 - 3*p + 3*p)).\nAnswer: -88*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16048*b**3*g**3 - 16*b**3 - 8*b**2*g**2 - 7*b**2 + 2*g**3 + 6*g wrt g.\nAnswer: -96288*b**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2292)\/(-72) - 32)*(-4662)\/(-12) + (-10)\/8.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.626?\nAnswer: -1.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7504869 is divided by 16386?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -137157 greater than or equal to -253?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 220 = -320. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 + -195.51. Let o = 0.49 - s. Let u = -14 + 10. Which is the third smallest value? (a) o (b) u (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*53584\nAnswer: 214336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + sqrt(3)*4)**2.\nAnswer: -16*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375 and 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-492)\/(-21) - 3 - (98 + 7225\/(-85)).\nAnswer: 52\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*h**5 - 807*h**2 + 802*h**2 - 3 - 10 wrt h.\nAnswer: 9300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/4 + r**3\/3 - r**2\/2 - r + 961. Let w(o) = 3*o**3 + 3*o**2 - 5*o - 4. Determine w(x) - 5*y(x).\nAnswer: -2*x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.08 - -34.08. What is the nearest to 6\/7 in 0, r, -22, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 - 33*a - 4*a**4 + 39*a + 32*a**4 wrt a.\nAnswer: 348*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 8:11 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 245496253.\nAnswer: 151, 1625803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 257 = -w, 3*y = -5*w + 4*w + 393. Suppose 5*n + 4*g = y, n - 5*g - 2 = -5. What is n rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/12222 and 79\/16542477.\nAnswer: 33084954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1350, 4793, 10526, 18543, 28838, 41405, 56238, 73331?\nAnswer: 92678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 99504.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-2))\/(1*(29\/3)\/(56\/(-84)))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13896*b**6 - 24*b**2 + 73 wrt b.\nAnswer: -1667520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3990611.\nAnswer: 101, 39511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -149 + 33\/2*w**2 + 1\/6*w**3 + 1089\/2*w. Factor r(t).\nAnswer: (t + 33)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -0.3479, -31\/7?\nAnswer: -0.3479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Suppose 2*k + o*k = 6. Let m(z) be the third derivative of z**4\/12 - z**3\/3 + z**2. Calculate m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4 - 31 = 0. Suppose 5*p = q - 56, -4*p - 3*q + 24 = -7*p. Let j = p + 17. What is the least common multiple of j and x?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 7956 = 10*t - i, 4*t - 15888 = 4*i. Is t a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1768 and 103\/988.\nAnswer: 33592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 1. Suppose v*i - d = 13, 4*i + 7 = 5*d - 10*d. Let t(o) = o**2 - 4*o - 5. Let s be t(5). Solve i*z + s*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 6*j**2 - 3*j + 1. Calculate the remainder when 39 is divided by m(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**2 + 0*s**2 - s**2)*(181*s + 2462 - 2462) as m*s + x*s**3 + v*s**2 + d and give x.\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {z: 2, t: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.847 (b) 0.7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 + 0.3. Suppose -60684 + 24054 = -37*o. Let f be 16\/(-18) + (-12 - o\/(-81)). Which is the second smallest value? (a) 2 (b) p (c) -3 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, p: 15}. What is prob of picking 3 p and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7368*b + 2973663 - 841861 + 3860645 + 793481 + 2*b**2 = 0. What is b?\nAnswer: 1842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 - -110000010001100?\nAnswer: 110000001011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16346*g**3*x**4 - g**3*x**3 + 2*g**3*x**2 - 32187*g + x**2 wrt x.\nAnswer: -392304*g**3*x - 6*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggh when three letters picked without replacement from ggh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-186)\/(-1302)*-5*(-2)\/2\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-270)\/36)\/(20\/(-2)). Let t = 2.61 + 0.09. Which is greater: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1900) - (sqrt(1900) - (sqrt(1900) + sqrt(1900) + -1 + sqrt(1900) + 5)))**2.\nAnswer: 1200*sqrt(19) + 85580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 0. Let g(m) = -32*m + 0 - 7 + 4 - 7 + 5*m**2 - 2. Let j be g(7). Solve -2*i + j = u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 4.03034\nAnswer: 0.403034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8920\/(-2899) + (8 - 5)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**2 - 14*o + 55. Calculate j(12).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/91 - (-732)\/(-2379).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a96b2 - 0?\nAnswer: -a96b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 4. Suppose -l*t + 56 = 5*p, 5*p - 3*p - 32 = 4*t. Let c be (-3)\/(-9)*(-9)\/p. Sort -0.4, c, -2 in decreasing order.\nAnswer: c, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48*((-63)\/(-18) + 6\/(-2)). Calculate the greatest common factor of l and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4663\/(-15) + 5 + 77\/(-15). Let q = g - -535. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6675*c**2*q**2 + 60*c**2 - 9*c + 38*q**2 + q - 64923 with respect to c.\nAnswer: -13350*c*q**2 + 120*c - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = 2*z + 12*z. Which is the nearest to -9? (a) 2 (b) -40 (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 163312 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -43*c + 3. Let z be a(-2). Let r = 109 + z. Suppose 4*h + 3*f - 76 = f, -5*h = 2*f - 94. What is the greatest common factor of r and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b. Let x(o) be the second derivative of 0 + 115*o - 1\/2*o**2 - 25\/12*o**4 + 0*o**3. Give k(x(l)).\nAnswer: -75*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 247086.0157 to the nearest ten.\nAnswer: 247090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41626?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 604180 to the nearest 10000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 2*i - 8, 2*h - 7 = -i + 3 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 2*l + 16 = 0, -77*y = -76*y + l - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -43. Factor 4*r - 16*r**2 + 3*r**4 - 4 + 3*r**3 + 2*r**5 + r**4 - l*r - 7*r**3.\nAnswer: 2*(r - 2)*(r + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.2 + 2.2. Let t = -3 + 3.2. Let q = 0.2 + 0.8. What is the closest to q in t, -0.3, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.0965 (b) -0.5 (c) -3\/4 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 4*i + 21. Calculate the least common multiple of (-12)\/(-14)*(-28)\/(-6) and x(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-8)\/(-4)))\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + b + 2. What is the least common multiple of t(4) and 26?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Let k = 3.7 + -2.9. Let q = k + 5.2. Sort q, -0.2, b in decreasing order.\nAnswer: q, b, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5284356.7347 minus 0.03?\nAnswer: -5284356.7647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49627 (base 13) to base 6.\nAnswer: -2521144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 779966?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 83\/88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + (315\/(-3))\/(-3) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and 111?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185220.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319026, 638037, 957006, 1275927, 1594794?\nAnswer: 1913601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -544?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -5, -0.5, -10, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 88.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n - 64. Let h be v(-8). What is the highest common divisor of 64 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 + -22. Let g = 32 + z. Calculate the highest common divisor of g and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*y - 8 = 0. Solve -t + 3*m = -7, 4 = -y*m - 2*m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 67, 109, 159, 217?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1139421874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 44 = -21. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*v - 19, 4*v + 6*d - 2*d = 12. Suppose -7*t + 9*t + v*l = 215, 0 = t + l - 109. What are the prime factors of t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/17 bigger than 408231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8868.6126 - -8864. Round t to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/10 + 2\/(-5) + 0. Let w = 1.71 - 3.71. Which is the fourth smallest value? (a) 3 (b) 0.1 (c) m (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117789070 divided by -23557814?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -w + 2*w. Let y be 9\/w*(-6 + 1). What is the common denominator of 40\/11 and 42*6\/(-16) - y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 - -3.8817041091?\nAnswer: 284.8817041091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 146.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8143 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -4*y + 5. Let n be w(-3). Suppose 2*a + k = n + 1, -3*k = 4*a - 36. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**11\/(s\/(s*s**(1\/5)\/s)))**(2\/31))**(-4\/9))**33 assuming s is positive.\nAnswer: s**(-1496\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 71\/5 of a micrometer?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -113450 divided by 3504?\nAnswer: -56725\/1752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 944*d**4 - 41*d**2 - 3*d + 62406?\nAnswer: 11328*d**2 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23706091 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-74 - 94 + 53)*(q + q + q + (-3*q + 0*q + q)*(1 - 5 + 2) - q + 6*q - 3*q).\nAnswer: -2070*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 9*w**2 + 10*w - 5. Let k be d(10). Sort k, 2, -1 in decreasing order.\nAnswer: 2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0, 0.04, -1.25, -4, -216?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f**3 - 7*f**3 - 24*f**3 + 964.\nAnswer: -2*f**3 + 964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 65 (c) 5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(99)\/sqrt(9)*2)**2 + (sqrt(66) + sqrt(66) + sqrt(66)*3 + sqrt(66) - sqrt(66))\/sqrt(6).\nAnswer: 11 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(33) + sqrt(528)*-4)\/(1*sqrt(539)).\nAnswer: 45*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four thirds of a hour in seconds?\nAnswer: 76800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 2:32 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 274, 80, 3\/2?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**2 - p**2 + 0*p**2)*(-317 + 317 + 26*p) + (-2*p**2 - 7*p**2 - 3*p**2)*(-2*p + 0*p - 3*p).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -3217\/207 - -475\/23. Let a = 441 + -1343\/3. Find the common denominator of o and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-144)\/(-27)*3\/(-4)*-1. What is the nearest to -2 in 2, -14, 0.5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15118*v**2 + 30291*v**2 - 15170*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32362 + -5967. What is the thousands digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - 111013232?\nAnswer: -111013321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 28*v - 12. Which is bigger: 5\/127 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 4:31 PM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 1 + 4 - 16 - 15 as v*d + c and give c.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 0.4, -20924 in descending order.\nAnswer: 4, 3, 0.4, -20924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38.65 + 0.35. Let f = -42 + s. What is the nearest to 2\/3 in 3, 1\/9, f?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/14 + (-87)\/(-21). Let v(l) = l**3 + 8*l**2 - 2*l - 12. Let i be v(-8). Suppose -1 = 3*s - 25. Solve 0 = i*f - s, m + g*f = f + 6 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -405, -1701, -3851, -6849, -10689, -15365, -20871?\n\"Answer: b**3 - 433*b**2 - 4*b + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/25)\/x))**(-1\/19)\/(x**(1\/7))**21)**(2\/43) assuming x is positive.\nAnswer: x**(-2954\/20425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 42\/10 + (-6)\/30\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 1. Let y(z) = -2*z. Let n(d) = -2*a(d) + 6*y(d). Suppose -3*s - 5*q = 48, 2 = 5*q + 17. Let t = -7 - s. Determine n(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3886*s + 94. Let a(x) = -2220*x + 53. Determine -16*a(i) + 9*d(i).\nAnswer: 546*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -92118, -184240, -276388, -368574, -460810, -553108, -645480, -737938?\n\"Answer: -2*d**3 - d**2 - 92105*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2383603 is divided by 660?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1042512 is divided by 1458?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3376?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 96 - 50 - 108*t**2)*(0 + 0 - 3*t).\nAnswer: 324*t**3 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/2 - 2\/4. Suppose -3 + 0 = -w*m. Suppose m = -0*q + q. What is the third biggest value in 1\/4, q, 2\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.195 and 5?\nAnswer: -100.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001726 rounded to seven decimal places?\nAnswer: -0.0000173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*w**2 + 66346*w + 66330.\nAnswer: 2*(w + 1)*(8*w + 33165)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v = -2*p + 1120, -3*p = 2*v - 1666. Is p a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-25))\/(-1105*(-52)\/66300)?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from cwwowwwcwwwcowcc?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 849*g + 221086. Calculate t(-209).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 + 0*l**2 + 4*l**2)*(3*l - 144*l**2 + 4*l - 7*l + 55*l**2) to the form c*l + t + q*l**4 + z*l**2 + x*l**3 and give q.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/60 - o**4\/6 - o**3\/6 + 3*o**2. Let w be 5\/(-2)*(-4 - -2). Give a(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -230, -232, -234, -236?\nAnswer: -238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -937*h**2*o**3 - 993*h**2*o - 415*h*o + 3*h + 336*o**3 wrt h?\nAnswer: -1874*o**3 - 1986*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/5 + 2387\/465. Factor 4\/3*d**2 + y*d + 4.\nAnswer: 4*(d + 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11519*f**5*v - 68*f**3*v**3 - 23*f*v**3 + 317*v**3 + 23*v wrt f.\nAnswer: -230380*f**3*v - 408*f*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1364, 1, -26, -1 in increasing order.\nAnswer: -26, -1, 1, 1364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -4. Let l be (b\/(-2))\/((-2)\/(-8)). Solve 4*j - l = a + 9, -4*a + 4*j = -4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + j**3 + 2*j**3)*(0*j + 0*j + j) + (-1 + 1 + 2*j)*(-2 - j**3 + 2 + (1 - 1 + j)*(6*j**2 + 4*j**2 - 5*j**2)).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3525 = -2*s + 28*s - 3027. Let v(q) = 7*q + 9. What is the remainder when s is divided by v(6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143686102 to the nearest integer?\nAnswer: 11987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 79, 110, 163, 244?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 25. Let d(v) = -2*v - 19. Let c be d(-15). Let g be t(c). Let f = 48 + g. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**2 + 7*x**2 + 6*x**2 + (4*x - 4*x - x**2)*(-6 + 3 + 2) + 5*x**2 - x**2 - 3*x**2 + (-3 + 2*x + 3)*(x + 2*x - 4*x) + 6*x**2 - 4*x**2 - 4*x**2.\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*s + 26. Suppose 0*t - s*t + 25 = 0. Suppose 0 = -6*a + a - 3*y + 1, y = -4*a + t. Solve 3*h - l = 9, 0 = h + a*h + l - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 1 = 0, 4*f + 4*m + m - 17 = 0. Let s(p) = -4 - f*p - 2*p + 7*p + 3. Let c(h) = -h**3 - 2*h**2 + 4*h + 5. Let i be c(-2). Determine s(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 3*n. Let q(m) be the first derivative of m**6\/120 - m**5\/60 + 2*m**3\/3 + 5. Let r(x) be the third derivative of q(x). Give -3*r(y) + 2*t(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 569221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let v(w) = -w**2 - 2*w - 1. Let q be v(a). Let o = 1 - 1. Is o > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56150 and 14?\nAnswer: 393050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/450 and 95\/36.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.01 + 0.01. Let x = 2.9 + o. What is the third biggest value in -0.4, -1\/3, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4*c + 154 = 0, 4*c + 1 = j + 27. Let s = j + 119\/4. Let w = -37\/138 - 3\/46. What is the nearest to 2\/3 in w, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 96806 and 2206.6677.\nAnswer: 99012.6677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -2 - (-78 - 4572\/(-36)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -i + 5, 0 = 7*v - 2*v - i + 7. Is v at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*r - 3*p, -2*r + r = p + 1. Let l(c) = -4*c**2 - c**r - 1 + 0*c**2 - c. Give l(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -6*k + 11. What is j(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-15)*(-20)\/6. Suppose -4*o + 51 - 1 = -z, -j*o - 3*z + 58 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zeeeeeeezeeezz. Give prob of sequence ze.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 844957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -288.0492 - -288. Round n to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - 9 = 0. Suppose -3*b - b = 2*h - 24, -c*b - 5*h + 4 = 0. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -24313?\nAnswer: 33\/24313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 108615904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from {u: 2, t: 6, c: 1, w: 1, d: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**2 - 54*m + 8. Let o be k(18). Let y be 10 - (1 - 2) - -1. What is the greatest common divisor of o and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9830*g - 9806*g + 29379*g - 9788*g - 31 + 31.\nAnswer: -45*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-4))\/((-28)\/42).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -24008?\nAnswer: 1\/12004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/66*(-6678)\/(-14). What is the nearest to w in -2\/7, 4, -0.3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100011111011001001110 (base 2) in base 6?\nAnswer: -424024542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19555453 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 416 + -410. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5*63\/30)\/((-6)\/(-16)). Suppose -5*l - 7 = 5*w + x, l = 3*w - 3. Let s = 20.95 + -21. What is the nearest to 0 in s, 1\/3, l?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125.44 to the nearest integer.\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38679, -77342, -116005?\nAnswer: -154668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (16*(-138)\/9200)\/(-3)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 - (-18 + -6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 t when three letters picked without replacement from {b: 7, t: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 o when three letters picked without replacement from yaayyodeheaayoy?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ochccohohchc. What is prob of sequence occo?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22 - (-81)\/1)*57\/6*2. Calculate the highest common divisor of 2781 and b.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 544 - 21217\/39. Let c be (1*2)\/(-45 - -47). Which is smaller: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 22\/9 of a day?\nAnswer: 3520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 258?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -166 or -2516?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/57 + -4\/19. What is the smallest value in 0, m, -0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*y - 4*n, 3*y + 3*n - 23 = 2*y. Put 0, -30, y, 4, -1 in decreasing order.\nAnswer: y, 4, 0, -1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137528 is divided by 66213?\nAnswer: 5102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -5, -2, 1.842, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/3328 and 145\/18?\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 1, d: 4}. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56927917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 2 + -6 - (8 + 18).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 12*g + 16000 = 5*q, 5*g = -4*q + 12800. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aoao when four letters picked without replacement from waowwwaowooaowowow?\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14220 and 90?\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, w: 4, o: 6}. What is prob of sequence wjoj?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-410)\/45 + 9)\/((-2)\/9). Let u be 124\/(-42) + 3 + 2\/7. Solve -1\/3 + u*k**2 - o*k = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-7 - (3 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5544068 - 2?\nAnswer: 5544066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -3. Suppose -n*j + 10 = -3*j. What is the second derivative of -5*b - b - 2 + j + b**3 wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t = -42*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1141 + 389 - 1718*m + 861*m + 858*m.\nAnswer: m - 752","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -255.88 + 255.8799909. Round u to seven dps.\nAnswer: -0.0000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l - 3. Let q(s) = 2*s - 1. Let b(i) = 7*q(i) - 3*z(i). Let t(r) = r. Let w(c) = c - 1. Let f(k) = -3*t(k) + w(k). Let v be f(2). What is b(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27170 + -27103. Solve -c*z = 43*z - 770 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 1:43 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -12*r - 2. Let l(f) = 73*f - 3. Determine l(x(y)).\nAnswer: -876*y - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -39*m - 158. Calculate g(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 15, -3 in decreasing order.\nAnswer: 15, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 572.1038 years to millennia.\nAnswer: 0.5721038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 6*l - 4. Let j be h(6). Let y(c) = -3*c**3 - 3*c**2 + 5. Let u be y(j). Suppose 0 = -o + 74 + u. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**2 - 5*a + 15. Let k(z) = 67*z**2 + 2*z - 31. Let t(d) = -55*d**2 - 2*d + 27. Let c(o) = 5*k(o) + 6*t(o). Determine -5*c(i) + 2*y(i).\nAnswer: -3*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 a when three letters picked without replacement from rzaapzm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (1 - 1) - -14. Suppose 4*c = -0*c - 3*z - 27, -3*c + 5*z - 42 = 0. Let f = p + c. What is the greatest common factor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3595, -11802, -25481, -44632, -69255, -99350?\n\"Answer: -2736*l**2 + l - 860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 16. Let t be l(-18). Solve -10 = t*j - 4*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12774, -12765, -12756?\nAnswer: -12747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -751*j**3 - 685*j**3 - 59*j + 4*j + 1434*j**3.\nAnswer: -2*j**3 - 55*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22019*n**3 - 17063*n**2 - 277088447*n?\nAnswer: 132114*n - 34126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*t - 76*t = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.0543*18.\nAnswer: -108.9774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 4*b**2 + b + 4. Let o be (1 - 3 - 0)\/1. Let t = 0 - o. Suppose -t*u = -u - 4. Determine g(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**4\/2 + 24838107*i**3 - 137095885517580*i**2 + 252237053133794480400*i + 504474654651329736000.\nAnswer: -3*(i - 5519580)**3*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -633*t - 181. What is the units digit of r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1296, -1214, -1092, -942, -776?\n\"Answer: -2*m**3 + 32*m**2 - 1326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:19 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by -4.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utttuu. Give prob of picking 1 u and 1 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 215162093 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/13 + 16*q**3\/13 - 22*q**2\/13 - 36*q\/13.\nAnswer: 2*q*(q - 2)*(q + 1)*(q + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 4*v + 16. Let r be u(6). Suppose -13*i + 9*i + r = 0. Is i at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 10*w + 55 = 0, 3*w - 23 = -3*z - 26 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -4)\/(-2) - -3. Let i be 1 + 25\/9 + 6\/27. Let v(k) = -2*k**3. Let m be v(-1). Solve -m*s = r - i for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i + 4*f = -10*i - 1782, 2*i - 58 = 3*i + f - 4 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 182*u = -71*u - 8864 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-1 - 6) + (-1320)\/(-176) - 22150\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**3 + 1975*l**2 + 16085*l + 14105 = 0. What is l?\nAnswer: -7, -1, 403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166115 is divided by 3991?\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 8421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26 + 25. Let q be i*(3 + -1)*-4. Let f = q + 12. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.0045 from 23.7.\nAnswer: 20.6955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1541 + -1531. What is the second smallest value in s, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + r - 1)*(-4*r + r + r) + 15 + 66*r**2 - 65*r**2 - 2 to y*r + a*r**2 + g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:48 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7016 and 158737.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - d + 2 + 3*d + 4*d**2. What is the remainder when w(-4) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 9*l + 14. Let n be z(6). Let t be 29\/2*(-8)\/(-4). Let j = t + n. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 i when two letters picked without replacement from {p: 1, z: 1, i: 1, c: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 109 = -5*v, -5*v - 78 = -2*p + 29. Let r be (-2)\/(-3) + (-154)\/v. Solve 0 = -4*n + r*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -9)\/((5\/2)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j - 6 - 34 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 809 + 47 = 0. Suppose 0 = -w + 4*b + 80, 4*w - b = 183 + v. Calculate the common denominator of (-807)\/w - (2\/(-3))\/2 and -39\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -124157 at most as big as -126785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -116.13.\nAnswer: 1393.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:17 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**6\/3 + 4*w**5\/15 - w**4 - 8*w**3\/9 + w**2 + 4*w\/3 + 15. Solve b(p) = 0 for p.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18687 or 18688?\nAnswer: 18687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g*h**4 - 47*g*h**2 + 3*h**5 + 3 wrt h.\nAnswer: -384*g*h + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01210600673 to five decimal places.\nAnswer: -0.01211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1201032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 304511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3154990, 3155003, 3155024, 3155053, 3155090?\n\"Answer: 4*k**2 + k + 3154985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19094*f**4 - 1060*f**2 + 17205831?\nAnswer: 76376*f**3 - 2120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f. Suppose d = -5*y - 25, 0 = 2*d - y - f*y - 5. Let g = -14 + -3. Put g, -3, d in descending order.\nAnswer: d, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d + d**2 - 4*d**2 + 4*d**2 + 3. Let h = -85 - -155. What is the remainder when h is divided by b(7)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 11:18 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*m**4 + 9*m**3*s + 13*m**2*s + m*s - 3 wrt m?\nAnswer: -144*m + 54*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 65408?\nAnswer: -65410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - (-144)\/27) + 2\/(-6). Suppose h + c*z + 3 = 3*z, h + 2*z - 7 = 0. Solve -5*o = -h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 3. Let x = 3 + -2. Suppose 3*v + x = c - 11, 4*c + v - 22 = 0. Determine z(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dgv when three letters picked without replacement from ccvcgcvccvcccgcdk.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1261674 is divided by 56?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 11:05 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -1354\nAnswer: -1\/1354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d**3 - 21*d**2 - 14*d - 14. List the prime factors of t(-10).\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20082 = -12*k + 46*k - 19844 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 - 1)*(-22*j - 28*j - 28*j) + (-1 + 1 - j)*(-4 - 2 + 2) to the form y*j + q and give y.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 18 = -2*u. Suppose 0 = -4*l - 4 - 0, -4*a + 4235 = u*l. Suppose n = 3*n - a. Round n to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6479*l + 6477*l - 12951*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**2*p**3 - 2*n**2 - 22*n*p**2 - 256*p**5 wrt p?\nAnswer: 24*n**2 - 15360*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 103 = 3*x, 0 = -3*x - 0*x + 3*m - 105. Let l = -22 - x. Suppose 8*t + 39 = l*t. Calculate the highest common divisor of 143 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/22)\/((-3)\/2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 9 + 5 + 0 - 8 - 18*c. Let h(s) = -17*s + 7. Let b(l) = -5*h(l) + 6*n(l). Let d = 88 + -89. What is b(d)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w**3 + w**2. Let q be r(1). Let k be (-1806)\/15 + 4\/10. Does 16 divide k\/(-9)*(-36)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 5*u**2 + 2*u + 15. Let n be x(-5). Suppose o = 9*k - 5*k + 12, -n*k - 18 = -2*o. Solve 3*l + o*c = -2*l + 35, 5*l - 2*c = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 0, 719 in descending order.\nAnswer: 719, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51 - 51 - 11*o**4 + (-o**2 + o**2 - 2*o**2)*(18*o - 49 + 49)*(9 - 9 + 9*o).\nAnswer: -335*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7807 + 12*r**2 - 24*r**2 - 185*r + 9*r**2 + 55*r**3 + 86*r + 101*r wrt r?\nAnswer: 165*r**2 - 6*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*a = 72, c = 4*a - 0*a + 37. Let d(q) = 3*q + 2*q - 4*q + 6. Calculate the remainder when c is divided by d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4575)\/305 + 0 + 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 72.8, -12\/19, -2\/15, -0.4?\nAnswer: 72.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*(0 + -3 + sqrt(275) + sqrt(275) + 4 + 1 + sqrt(275)) + 1 + -2)**2.\nAnswer: 1080*sqrt(11) + 39681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 7) in base 8?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/6)*p)\/(p*p**(-4\/3)*p*p*p*p)*(p**(2\/3))**(-3\/13) assuming p is positive.\nAnswer: p**(-95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*u - 0*l - 1381, 5*u = 5*l - 1360. Let t = 268 + u. Let p(g) = g**3 + 6*g**2 - 7*g - 7. Calculate p(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:05 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from aewaawtteeeaeeee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -10111001011000111101010?\nAnswer: 10111001011000111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7a7c (base 15) to base 4\nAnswer: -12112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (51 + -31 - (13 + -9)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r + 4*r - r - 5*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 PM and 1:18 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g\/(g**4\/g)*g)\/g*g*g))\/(g*g**8))**28\/(g**(-3\/11)\/g**3)**(2\/15) assuming g is positive.\nAnswer: g**(-13836\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 442104 > 442104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4440 and 16?\nAnswer: 8880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 103*i*x - 139*i + 3202*x - 1 wrt i.\nAnswer: 103*x - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (32\/(-12))\/(4\/6). Let o(x) = -x**2 - 8*x - 9. Let l be o(s). Suppose -2*i + 44 = 2*i. Solve 3*y - l - i = -4*b, 4*y - 17 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p - p)*(-23 + 0*p + 26 + 2*p) + p**2 + 3 - 3 - 2*p**2 + 1 - 1 + 0*p**2 + 2*p**2 - 3*p**2 + (-4 + 4 - p)*(2*p - 4 + 4) - p**2 - 1 + 1.\nAnswer: -3*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28345399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*g - c, 0*g - 13 = -4*g + c. Suppose o - g = 1. Solve -5*l - 14 = -0*l + 2*z, o*z = -3*l - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-10)*(-12)\/(-9). Solve -m - 2*m + 12 = -4*r, -2*r - b = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -626, -621, -614, -605, -594?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 40*x**3 + 22*x**3 - 2*x**3.\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 898.47 - 898.6. Which is the smallest value? (a) q (b) 4\/9 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1109044414 or -1109044415?\nAnswer: -1109044414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 125 - 70. Suppose -4*d + x = -89. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 141 = -6*j, 52*u = 54*u + 3*j + 81 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7 + 0*z**3 - 11*z**2 - 3 + z**3. Let p be a(11). Suppose 0*y = y. Solve y = p*w - w - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 + 4*m**3 + 4*m**3 - 4*m**3.\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d + 3*d - 38*d + 21*d + 6*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2 + 1696*i**2 - 1764*i**2 to y + c*i**2 + x*i and give c.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49508*q*y - 3*q + 350*y**3 + 15686708 wrt y.\nAnswer: -49508*q + 1050*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302978*n - 302921*n = 5*l + 555, 7 = n - l for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -5*x + 10, -2*f - 9414*x + 9 = -9413*x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 121737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*i**2 + 4*i + 223*i**2 - 665*i**2 + 218*i**2 - 7 in the form w + q*i + d*i**2 and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 704557 divided by 401?\nAnswer: 1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 52*q + 60*q + 28*q - 135*q. Let t(a) = -284*a. Give w(t(k)).\nAnswer: -1420*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/16*-7*16. Solve 5*h + 4*g - y = 0, -11*g - 14 = -2*h - 13*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 4:23 PM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085 minus -0.5168855?\nAnswer: 0.4318855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2181136 to the power of 1\/2, to the nearest integer?\nAnswer: 1477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2899\/45 + 321\/5. What is the nearest to 1 in 17, 7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) 1 (c) 32111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41640 and 2424.\nAnswer: 4205640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*m - 854, -m = 2*o - 4*m - 436. Let v = 312 - o. Suppose 5*n = -3*g - v + 298, -n = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -0.008192307081\nAnswer: 0.491807692919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19972 - 19944. Solve o*n + 111 = -57 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - 12. Let k be 13\/b - (-3)\/4. Let m = -2.5 - -0.5. What is the closest to k in -3\/4, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 229729*l. Let x(b) = -2*b. What is x(j(t))?\nAnswer: -459458*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h + 2*a + 62, 3*a = -9. Let j(n) = 6*n - 6. What is the smallest common multiple of h and j(4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -k**9\/126 - k**5\/20 - k**2\/2 - 1. Let o(s) be the second derivative of t(s). What is the third derivative of o(r) wrt r?\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 3*t + 3, -4*t = 5*w + 75 - 107 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - f + 3039 = 0, -2*y + 427 + 793 = -4*f. Calculate the highest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 69 - 442. Suppose -5*f - 2*h = -x, -f - 2*f + h + 35 = 0. Solve -2*k - f + 3 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/8 and -21\/1983412.\nAnswer: 3966824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 7 + (-6 + 8 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 429\/2 or 216?\nAnswer: 429\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (sqrt(2057)*2 + -2 + -3*(sqrt(2057) + 2))**2.\nAnswer: 176*sqrt(17) + 2124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29 and 1440843.\nAnswer: 41784447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - -2. Let h = 11 - b. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10233 (base 4) to base 6.\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2562 by 7.\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Solve 0*a = -k*a + 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162448643.\nAnswer: 7, 463, 50123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.5, -62, -2, 8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*1261.\nAnswer: 504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from ffffiffififfiffffiff?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25748*q + 32440 = 27370*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 23. Suppose -2*a - 16 = -5*a - 4*v, v - p = -2*a. Let u(j) = j + 8. Let k be u(-6). Solve -k = -a*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153*j**2 + 678*j**2 - 521*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.1, -8 in increasing order.\nAnswer: -8, 0.1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 113943*(-15)\/(-156) + -2. Let u = a - 10955. Find the common denominator of u and 29\/44.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) -1 (c) 9209 (d) -18 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -40*j**2 + 39*j - 2. Let z(b) = -40*b**2 + 39*b - 1. Give -2*d(p) + 3*z(p).\nAnswer: -40*p**2 + 39*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.39 + 64. Let t = g - 30.61. Let j = 27 + t. Which is the second smallest value? (a) 2 (b) j (c) 0.1 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 1\/6, -6.1, 0, -0.3, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - (294\/336 + 4*-1). Let m(x) be the second derivative of 1\/24*x**3 + 5*x - o*x**2 - 1\/80*x**5 + 0 + 1\/48*x**4. Suppose m(u) = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -239.0071 - -0.0071. Let z = g + 243. Which is the closest to -0.089? (a) z (b) -0.2 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12, -60, -142, -258, -408, -592, -810?\n\"Answer: -17*l**2 + 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 (base 10) in base 6?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**2 + 30*u + 0*u**5 + 0*u**7 - 31\/12*u**4 + 0*u**3 + 0*u**6 + 1\/8*u**8 + 0. Find the third derivative of n(w) wrt w.\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 20 = 0, 2*w - w = -2*v + 20. Solve 0 = 3*j + w - 0, 3*j = a - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbvvcvrvsb. Give prob of picking 1 b and 1 r.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2871990 and 113\/319110.\nAnswer: 2871990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15002534?\nAnswer: 2, 17, 441251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 - 1011*i - 2026 = 0. Calculate i.\nAnswer: -2, 1013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**19)**4\/(r\/r**(-33)*r*(r\/r**(2\/21))\/r) assuming r is positive.\nAnswer: r**(863\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48927*h**2*p**2 - 2*h**2 - 225*h + 4*p**2 - 2973 wrt p?\nAnswer: 97854*h**2*p + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22\/3*f - 14 + 6*f**2 - 2\/3*f**3 = 0.\nAnswer: -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(3\/(-6)). Suppose -4*c = -l*c. Solve -4*z - g + 21 = c, 2*z + 2*z - 41 = -5*g for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 32. Let n(p) = 2*p - 9. Let b be n(k). Suppose 6*u = b*u - 30. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 - (1 + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -1470*x - 29414. What is q(-20)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -z**4\/6 + 9*z**3 + 124*z**2 - 15*z + 31. Factor f(h).\nAnswer: -2*(h - 31)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 664 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5762785t in nanograms?\nAnswer: 576278500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x - 5. Let a be k(8). Is (2 - (a - 4))*13 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 4. Let b be d(-9). Suppose 4*l = 3*x + 5*l - 37, 4*x = b*l + 24. Round x to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - 73 - (-55 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = -4. Let i be 8\/(p\/2*-4). Suppose i*q - 8 = 4. Solve -y + 1 = 4*t, 0 = -t + q*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4 + (0 + 3 - 2)*(0 - 2 + 3))*(0*l**2 + 3*l**2 - l**2) + l**2 - l**2 - 2*l**2 to i + s*l**2 + d*l and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k + 2. Let y = k + -4. Let z(u) = -4*u**3 - 3*u**2. Let o(m) = 12*m**3 + 8*m**2. Calculate y*o(t) - 8*z(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**2. Let v(s) be the first derivative of -s**2\/2 + 9. Give v(d(j)).\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 1)*(s - 4*s + 0*s) - 23*s + 12*s - 15*s)*(0 + 1 + 1)*(3*s**2 + 2*s**2 - 4*s**2).\nAnswer: -70*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/8 - 8*s**3 + 17*s**2. Let d be q(-16). Solve 7*y + 0*y - 21 = d for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*o**2 + 20768*o - 20768*o - 3.\nAnswer: 55*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + 3.91. Let m = 2 - o. Let h = 5 + m. Put h, 1, 0.2 in increasing order.\nAnswer: 0.2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5305 + 14?\nAnswer: -5291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 6*i - 11*i. Let d(w) be the first derivative of -w**3\/3 - 6*w**2 - w - 1. List the prime factors of d(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 808 = -5*y + 238. Let b be 2 - 0 - (-216)\/y. Sort b, 0.3, 5 in descending order.\nAnswer: 5, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 69 = 3*m, 2*k = 3*m - 5*m + 18. What is the greatest common factor of k and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - u - 1)*((3*u - 2*u - 2*u)*(-3 + 1 + 1) - 5*u + 2*u - 8*u - 2*u + 2*u + u + u + 4*u - 4*u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -64*w - 55. Calculate p(-6).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744618.\nAnswer: 2, 19, 31, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5282416217 and -1.6.\nAnswer: -5282416218.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - 13*i**2 + 13*i + 18. Determine m(8).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(931) + sqrt(931))**2 + sqrt(19) - (sqrt(76) + sqrt(76)*2)\/sqrt(4)) + 2.\nAnswer: -2*sqrt(19) + 3726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -z - 0*z. Solve -z*y + 17 = -3*p - 3*y, 10 = 2*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33433 (base 5) in base 12?\nAnswer: -1454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1737280 and 158420?\nAnswer: 154617920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707165 is divided by 4174.\nAnswer: 4173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 3*r + 215 - 71, 3*m - r = 35 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o - 1. Let t be x(-1). Let q(v) = -v**2 + 8*v - 9. Let z be q(6). Suppose -z*b - t = -4*b. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/6 - 6*h**2 - 11*h. Let j be z(-5). Let u(g) = g. Let v(m) = -m**3 - m**2 - 4*m. Determine j*u(w) - 2*v(w).\nAnswer: 2*w**3 + 2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 198\/(-264) + 3870498\/(-8). Let c = -1127413 - a. What is c rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3580 and 6444.\nAnswer: 32220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10699342\/2947375 + -354\/9125. Let p be -11*10\/(-285)*9. Let z = w - p. Which is the closest to 1\/2? (a) z (b) 0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4469046 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - w - 0*w - 85, 4*w + 116 = 4*h. Suppose -4*n - 8 = h. Let l(i) = i**3 + 9*i**2 + i + 4. What is l(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1433*f**2 - 86 - 1358*f**2 + 82.\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*((-138)\/(-10) - 14). Solve 0 = -3*j + 3*k, 0 = -5*k + 3*k - y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2\/5, -5, -6, 5.572, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 12 = 12*d. Suppose 7 = m - 4*m + w, d*w = -m + 11. Let z be (3 - m) + 12\/8*10. Solve -2*b - z = c + 2*c, 5 = -c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4 + 11 - 7 - f. Let g(i) = 8*i**2. Determine h(g(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {v: 2, m: 3, r: 2, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6121 + -31454?\nAnswer: -24333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002786 rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 351 (base 6) to base 4\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 1. Let c be a(2). Suppose -2*s = c*s. Solve s*l + 4*l - 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 6*z**2 + 9*z. Let r be i(7). What are the prime factors of 3 + 1 - (-5 - r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3166*f - 88527 = 50777 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -241*i**2 - 221*i**2 + 660*i**2 - 212*i**2. Let g(q) = -11*q**2 - 8*q. Calculate g(h(u)).\nAnswer: -2156*u**4 + 112*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9595591*0.5\nAnswer: 4797795.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2200175*a**2*k**2*l**3 - 1950*a**2*k*l**2 - a**2*k + 10*a**2*l**3 - 4*a**2 wrt k.\nAnswer: -4400350*a**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 t when four letters picked without replacement from uutttptuthtputtt.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0000635 meters to nanometers.\nAnswer: 63500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6346442 is divided by 426.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.7 + 2.91. Let r = 0.3 - s. Suppose 0 = 18*t + 1532 - 774 - 794. Which is the third smallest value? (a) 4\/7 (b) t (c) 0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 116, -695, -7?\nAnswer: -695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/104 >= 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -620.6?\nAnswer: 615.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 1909 = -891. Let m = -832\/3 + d. Factor m + 2\/3*t**2 - 8\/3*t.\nAnswer: 2*(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + 2*w + 2*w)*(-1879 + 1879 - 9*w).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-15)\/y*y**24 assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06982 + 0.0639. Round l to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1908, -1967, -2034, -2115, -2216, -2343, -2502, -2699?\n\"Answer: -c**3 + 2*c**2 - 58*c - 1851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 4. Let d be w(-13). What is the highest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/15 - 4*p**2. Let x be -3*(-5 + 9\/3). Let f(u) = 5 + 2*u - x + 1. Give f(y(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.83 from -1571258597.\nAnswer: -1571258597.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, g: 1, j: 1, d: 1, k: 1}. Give prob of sequence kgy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5245.\nAnswer: 5, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of v**7\/210 - v**6\/60 - v**5\/15 + v**4\/3 + 2*v**2 - 359. Let y(f) = 0. What is f?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*v + 2*m + 44, 4*v = m + 32. What is the biggest value in 1, 0.2, v, 3\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10095, -20233, -30371, -40509, -50647, -60785?\nAnswer: -70923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 5:00 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(1\/4)*d*d)*d\/d**(-5\/3)*d)\/(d**(-1\/2))**21 assuming d is positive.\nAnswer: d**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 7*v**2 + 3*v + 1. Suppose -9 = -4*t - 29. Is 18 a factor of h(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789374 equal to 6789372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2465 and 6\/3475.\nAnswer: 1713175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -335*m + 335*m + 96*m**2 - 97*m**2. Let j(i) be the third derivative of i**2 + 0*i + 0 - 5\/24*i**4 + 0*i**3. Calculate h(j(n)).\nAnswer: -25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from hyhyyhhyyyyyhhyyyhy.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -13*v. Let f = -28 + 26. Let q(x) = -x. Let g(u) = 2*u**2 + 2*u. Let y(h) = f*q(h) - g(h). Calculate o(y(i)).\nAnswer: 26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 2*n**2 - 4*n**2 + n - 12*n in the form f*n + q*n**2 + x and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 5*u**3 - 3*u**2 + 3*u - 2. Suppose -4*b - 3 = -5*b. Suppose -4*z + 46 = -x, 3*x + 39 = b*z - 0*z. What is the remainder when m(2) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54811157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15787753.\nAnswer: 15787753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, q: 1, l: 1, h: 1, s: 4}. What is prob of sequence qlsh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/17108 and -39\/47.\nAnswer: 17108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1265)\/(-46) + -20)*395606\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.13*-1.95.\nAnswer: -0.2535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52282 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(539) + 2 + sqrt(539) - sqrt(539)) + sqrt(539)) + -3)**2.\nAnswer: 980*sqrt(11) + 53949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.21 - -1.343. Let d = b + -0.13316. Round d to five dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a014 + a?\nAnswer: -1a006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 6*i. Let f be r(4). Let w = 72 - 43. Let s = w + 35. What is the greatest common divisor of f and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 15*v + 1. Suppose -15*c + 30 = -17*c. Let x be -4*5\/c + (-2)\/(-3). Suppose t + t = -x. Determine a(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 646 divide 1610478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 128. Suppose 91 = j + z*f, j + 328 = 5*j + 4*f. Let r = j + -74. Solve 3 = r*i - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2307 + -1928. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 5*o + 8*o)*(-380*o**2 - 372*o**2 + 751*o**2 - 1603) to the form n*o + j*o**3 + r*o**2 + t and give n.\nAnswer: -22442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 2*t + 3*t)*(-3 + 3 + 3) + 3*t - t - t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -87*u**5\/10 + 335*u**4\/24 - 72*u**2 + 2*u. What is the second derivative of h(o) wrt o?\nAnswer: -1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(280)\/(sqrt(7) + 1*sqrt(14)\/sqrt(2) + sqrt(7)))\/(sqrt(128)\/((sqrt(196) - (sqrt(196) + 1*sqrt(196) - sqrt(196))) + sqrt(4))).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -16*a**5 + 91912*a**4 - 4690609*a**3 - 2408504*a**2 + 2077997*a - 296036 = 0.\nAnswer: -1, 1\/4, 52, 5693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -535, -1052, -1555, -2038, -2495, -2920, -3307, -3650?\n\"Answer: g**3 + g**2 - 527*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/6 + 46740\/240. Do -1\/3 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13912 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - 4 = 0. Suppose -5*r - 3*b + 9 = -0*b, 5*r = y*b - 12. Suppose t = -r + 3. Solve 17 = 4*c - 3*s, c - t*s - 2 + 0 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**3\/6 + u**2\/2 + 34*u. Suppose -t + 5 = -15. What is the remainder when t is divided by z(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*i = 57*i + 23 - 1 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5242 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -2\/3, 1\/6, -64, 72\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let w(c) = -3 + 1 + 0. Let k(y) = y - 5. Let f = -6 - -4. Let z(p) = f*k(p) + 5*w(p). Give t(z(h)).\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b7e (base 16) to base 9.\nAnswer: -16241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -3 - (-2 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**8\/w))\/(((w**(-7)\/w)\/w)\/w)*(w*w**(4\/3))\/(w\/(w*w**(-4)*w*w*w)))\/((w\/(w\/(w*w\/(w*w**(2\/11)))))**(9\/2))**(-4\/11) assuming w is positive.\nAnswer: w**(2422\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -19*o + 3. Let r be q(-3). Suppose 3*b = -b + r. Suppose 2*x - x - b = 0. Solve 3*d - x + 6 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24\/5, 20\/508793, -4?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45 + -21 + -48 + 5\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = 4*d + 3*q, 0 = 2*d + 4*q + 4. Which is the nearest to d? (a) 4 (b) 4\/3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-17 + 10) - (0 + 5)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 11 + 17*g - 84*g + 15*g + 19*g + 22*g.\nAnswer: -11*g + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 634 - 786 = 152*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 474497691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 u, and 1 z when three letters picked without replacement from {z: 1, n: 2, u: 1, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59 + 158. Suppose 0*h**5 + 33*h**2 - 132*h**4 + 3*h**5 + v*h**4 - 3*h**3 = 0. Calculate h.\nAnswer: -1, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y + 2*y**3 - 5*y + y**3 - 4*y**3 + y**3 + (-12 + 5*y + 12)*(4*y + y**2 - 4*y) + y**3 + 4*y**3 - 3*y**3 + 2*y**3 + 31*y**3 + 7*y**3.\nAnswer: 47*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -766.08 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9999548*f**2 - 9999548*f**2 + 14850*f**3 + (4*f + f - 3*f)*(0*f - 2*f**2 + 0*f) to h*f**2 + y*f + r + t*f**3 and give t.\nAnswer: 14846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6 + 6 + 7*t - 2*t. Let h(y) = 28*y**2 - 16. Let o(s) = -9*s**2 + 5. Let j be (3 - 6)*48\/(-9). Let d(m) = j*o(m) + 5*h(m). Calculate l(d(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7185631 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/480 and 23\/72.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-15)*1\/(-4). Let a = 1 - 1. Let c = -1 - a. Which is bigger: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 20*p**3 + 260*p**2 - p - 12. Determine b(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -4*y + 8, -4*c = -c + 3*y - 9. Let k(h) be the third derivative of 7*h**4\/24 - 5*h**3\/6 - 2*h**2. Is k(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 33. Suppose y - c + 3 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000075737 to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 313 + -310. Solve 0 = v*r + 2*r - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23347 and 2837493.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 592 - 366. Is 3*3\/(6\/u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3921 - -4233. Is -3\/10 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, 66, 330, 866, 1764, 3114, 5006, 7530?\n\"Answer: 15*d**3 + d**2 - 26*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 428138822.\nAnswer: 2, 479, 446909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a week?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -456 - -4?\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:19 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, 0.1, -1\/2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120922 - 62037. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 23*r - 127. Let l be f(-12). Solve 2 = s + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 5 + 7. Let v(x) = 4*x**2 - 5*x + 4. Let i(j) = 5*j**2 - 6*j + 5. What is p*v(t) + 5*i(t)?\nAnswer: t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3037062 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-6) - -2558 - -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72125, 263318, 581979, 1028114, 1601729, 2302830, 3131423, 4087514?\n\"Answer: m**3 + 63728*m**2 + 2*m + 8394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/25 in 0.12, -0.16, -18\/11?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1630080?\nAnswer: 2, 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Let o(m) = m - 11. Let r(v) = -o(v) - 3*z(v). Let x be r(6). Solve x*n = 3*c + 12, 5*c + n = -16 - 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i - 5. Let g be j(-8). Let c = -1 - g. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t - 3. Let v(d) = d**3 + d - 3. Let l be v(-3). Let c be l\/(-7) + 2\/7. What are the prime factors of o(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*n - 1 - n**2 - 21*n + 80*n - 32*n + 35*n**3 + 3*n**4 to w*n**2 + y*n + a*n**4 + v + z*n**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 569 + -1174. Let o = h + 604.6. Put -4, o, 1\/7 in decreasing order.\nAnswer: 1\/7, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 8?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - v - 3 - 42 + 10 as u*v + z and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - y + 19, 4*y = -3*w - 2*w - 113. Let g be w\/(-6) - (-3)\/(-2). Is g*(-1)\/2*-211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 252, 379, 506?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of n**2 - 8*n - 3. Let u be d(6). What is the tens digit of 4\/(-6)*(-90)\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.1, -1, 0.1223.\nAnswer: -1, -0.1, 0.1223, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 12*r**3 - r**2 + 1. Let h(c) = 2*c**2 - 17*c - 5. What is the least common multiple of h(9) and v(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0 + 36 = -2*f, 4*d + 48 = 4*f. Let s be 6\/((-19)\/7 + 3). Let j = s + d. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -10 + x + 0*x + 4. Let b be z(6). Suppose 0*v - 3*v + 9 = b. Solve -v*o = -0*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-2*5 + 0 + 3)**2.\nAnswer: -720*sqrt(11) + 158409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 14*d**2 + 11*d + 31. Determine y(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.5. Let f = -0.1 + 0.2. Let o = -1030 - -1031. Which is the second biggest value? (a) o (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 1 = -7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -76. Suppose -5*m + 2884 = 5*f - 6*f, f - 2300 = -y*m. Suppose 3*b + 586 = 4*u, -2*u - 2*b = 2*u - m. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 0)*(5 - 63 - 95)*(-3*a + 3*a + a**3).\nAnswer: -459*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 983*t**3 + 985*t**3 + 0*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -4, 50?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - v**2)*(-6 + 3 + 4) + 3*v**2 - 7*v**2 + 2*v**2 + 8*v**2 - 31*v**2 - 20 + 23.\nAnswer: -26*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**4\/6 + 17*o**2. Let l(u) = 2*u**2 + 2*u**2 - 2*u**2. Calculate l(t(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*p - 62*p - 15. Let h(v) = 78*v + 119. Let n(g) = 40*g + 59. Let m(d) = p*h(d) - 5*n(d). What is the first derivative of m(b) wrt b?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1782*d**3 + 8*d**2 + 1004*d**3 - 8*d**2.\nAnswer: 2786*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -143 (b) -0.08 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 983867642?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -89 - 1364.\nAnswer: -1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 127 + -130. What is the remainder when 37 is divided by (8\/(-6))\/((-86)\/(-30) + k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 56 = -4*z. Suppose -9 = 11*w - z*w. Let o(x) = 8*x - 3. Let l be o(3). Calculate the greatest common factor of w and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = -2*h + 15*x + 1, 29 = 4*h - x. Solve 7*v + 21 = -h*f + 8*v, v + 6 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**5\/60 + r**4\/8 + r**3\/6 - r**2 - 5*r + 21. Let b(t) be the second derivative of v(t). Give b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 21*d - 57. Calculate the lowest common multiple of 12 and g(11).\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2400024511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11958 divided by 60.\nAnswer: -1993\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/4 + (-7)\/20. Let t = 160 - 776. Let p = t - -611. What is the fourth biggest value in 2\/7, p, a, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let d(y) = 3*y. Let q(a) = -d(a) + 2*f(a). Let u(g) be the first derivative of 4*g**2 - 4. What is q(u(n))?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*n + 52 + 102 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 16) to base 3\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 60. Let d be -3 + (0 - -1) - -70. What is the greatest common factor of r and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62207*b - 1512 = -62263*b for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 163*i = 166*i - 3, 0 = -3*a - 6*i + 27 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltt when three letters picked without replacement from ltlllttttl?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3*g - 2*g = 42, -15*y + 2*g = 15*g + 119 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/883704 and -23\/144.\nAnswer: 5302224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9042 and 528?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 8*o**2 + 10*o - 8. Let h be q(9). Let r be -1 - 0\/(1*2). Let p be -1 + 2 - (0 - r). Sort p, 3, h in descending order.\nAnswer: 3, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80534 and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51085 rounded to 3 decimal places?\nAnswer: -0.511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -11. Is c greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26684.00035444 + 26684. Round f to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19526614.83 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 8:18 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 634 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 2211705.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*m - 7. Suppose -d + 209 = 4*s + 63, -s = m*d - 509. Suppose l = -2*l + d. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -v - 407, 3*l = -l + 4*v + 820. Let u = l + -144. Is 30 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: What is the square root of 1379084641 to the nearest integer?\nAnswer: 37136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -692 and -2072\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 5 + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + 4*(-21)\/(-112)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 415*d - 12340. Let o be a(30). Solve -o = m - 104 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.0653 (b) 5.4 (c) -0.5 (d) 4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 7*j - 16*j, 80*j + 16 = 4*z + 36*j + 42*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8484921 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: How many minutes are there between 9:06 PM and 2:11 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-567)\/(-9)*((-8)\/35)\/((-2192)\/8220).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1001011110011 (base 2) to base 13\nAnswer: -2292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894 plus 63859?\nAnswer: 66753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147531056?\nAnswer: 2, 379, 24329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g - 2. Let k(d) = 9*d**3 + 2*d**2 - 2*d + 3. Let j(x) = k(x) + 4*v(x). Let t(q) = 8*q**3 + 5*q**2 + 2*q - 4. Give 5*j(f) - 6*t(f).\nAnswer: -3*f**3 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k - 31. Determine t(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03338*4.9\nAnswer: -0.163562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 3. Let k(b) = -9*b**2 + 201*b - 24. What is -5*k(v) + 40*q(v)?\nAnswer: 5*v**2 - 1005*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 22*v - 999. Calculate n(-43).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3332986 + -13?\nAnswer: 3332973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2848 or 2481?\nAnswer: 2848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:41 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (303 - 0) + 7 + -10. Suppose 0 = -5*v + q + 2090. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001110010011100101111 - -11010?\nAnswer: 10001110010011101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425842*4.\nAnswer: -1703368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 96*f + 499. Let l(r) = 14*r + 70. Let z(n) = -15*l(n) + 2*s(n). Calculate z(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5187134 + 0.1?\nAnswer: -5187133.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:50 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2419.688 micrograms?\nAnswer: 0.000000002419688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgggggggtgtk. Give prob of picking 2 t.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, k: 3}. Give prob of picking 4 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*t + 10 = 0, 5*c + 11 = 6*t - 5*t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**4\/4 + m**3 - 5*m**2\/2 + 2*m + 521. Give b(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -415247 less than or equal to -415304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-1)\/(-3))\/(-3 + -29). Let j(n) be the second derivative of 0*n**2 + 1\/10*n**5 - 1\/12*n**3 + 0 - 1\/24*n**6 + 5*n - r*n**4. Factor j(q).\nAnswer: -q*(q - 1)**2*(5*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165792694 to the nearest integer?\nAnswer: 12876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -129, -4, -10, 5, 0 in increasing order.\nAnswer: -129, -10, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 94616660 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:51 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23110746209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {l: 1, w: 1, x: 10, a: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2247, 2178, 2063, 1902, 1695, 1442?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(133) - sqrt(133)) + sqrt(133)) + sqrt(133)*-2*-1)\/(1*(sqrt(252)*-3 + sqrt(252) + sqrt(252) - sqrt(252))).\nAnswer: -sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, f: 1, d: 1}. Give prob of picking 3 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -108, -2?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/((-3)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 189?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/574 and -99\/122.\nAnswer: 35014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2069.3 to the nearest 100.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3587 + -3059. Calculate the lowest common multiple of 10 and l.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 18*y**2 + y. Let r be k(18). Let d = r - 14. Suppose -2*x = -z + 11, -4*z + 5*x - d = -36. Calculate the least common multiple of z and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 3*sqrt(832) + sqrt(832) + sqrt(832) - (sqrt(832) - 3*3*sqrt(832))) + -6*(-1 + sqrt(208)) + -1 + -5)**2.\nAnswer: -800*sqrt(13) + 83225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -24. What is the second derivative of -5*g + 0*g + 3*g**2 - r*g**2 + 6*g**2 wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -624 - -1155. Let g = 922 - c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 359 times -375\nAnswer: -134625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x - 12. Let o(g) = 4*g + 4. What is -3*i(u) - 8*o(u)?\nAnswer: u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36371430 and 2430.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/4 - 2045*g\/4 - 1536.\nAnswer: (g - 2048)*(g + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 642, 934, 874, 462?\n\"Answer: -176*j**2 + 820*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 7:05 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(216) - sqrt(54))\/(sqrt(242) + sqrt(242)*-1 + sqrt(2)) + 5)*-6.\nAnswer: -18*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.7 - -1.6. Is 0 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 41\/4 - (-3)\/(-12). Suppose 9*l = u*l - 89. Find y such that -15*y**4 - 5*y**5 + 20*y**2 - 89*y**3 + l*y**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 19*w - 70. Let b be c(5). Suppose 13*p - 11*p - 16 = 0. Solve p*f - 2*f = b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7 - 3*m**2 - 14*m**2 - 5 - m. Let h be t(-2). Let g = h + 101. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**4*r + 1547*i**3*r + 110*i + 2*r wrt i.\nAnswer: -12*i**2*r + 9282*i*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2448) + 0 - (-1*sqrt(2448)*1 + sqrt(2448)))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.36 times -0.14\nAnswer: -0.0504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13989058 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**5 + 482*n**4\/5 + 53948*n**3\/5 - 131816*n**2\/5 + 44064*n\/5 = 0.\nAnswer: -68, 0, 2\/5, 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - -2) + (-162 - -150)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2 + 5*p - 1. Let n(a) = 7*a**2 + 11*a - 3. Suppose 1226 + 262 = 372*r. Give r*n(k) - 9*d(k).\nAnswer: k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2111102332 (base 4) in base 11?\nAnswer: 388496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 37. Let l(s) = -s - 19. Let f(k) = 5*l(k) + 3*q(k). Let r be (7 + 0)*1027\/553. Let h be f(r). Are h and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6168 + 6172. Solve -u = -4*u - 5*f + 21, -u + i*f = 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.049 and -1987.6.\nAnswer: 97.3924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 5*x + 85, -2*t = 2*t - 4*x + 92. Let c be (1152\/t)\/(-4)*40. Suppose z = 7*z - c. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4701737434553.\nAnswer: 4701737434548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 172211428?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/9 + 22*b**4\/9 - 14*b**3\/9 - 98*b**2\/3.\nAnswer: -2*b**2*(b - 7)**2*(b + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(6)\/(sqrt(2)*1)*-5.\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 575 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 30 = 3*y, -1 = -5*h - 4*y + 29 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56390406677 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*g + 202789 + 455561. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -16) + 10 + 9\/(135\/48).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34 in 0.04, -29, 1\/11?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54418021.013 - -54458719. Let d = q + -40698.25700179. Let k = -0.27 - d. Round k to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 316 + 3059?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 13) in base 11?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*((4 + (sqrt(147) - 2*sqrt(147) - sqrt(147)) - sqrt(147)) + 1)**2 + 1 + ((sqrt(147) - sqrt(147)*-2)*6 + 5)**2.\nAnswer: 55743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*n + 25866 + 40764 = 8490. Calculate the remainder when n is divided by 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l. Let f(n) = -6*n. Let a(h) = 8*f(h) + 3*k(h). Determine a(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/(y*y\/y**(1\/3)*y)))*y)**(-6))**(-2\/85)*(y**1\/y**(1\/2))\/(y**(-1))**(10\/3) assuming y is positive.\nAnswer: y**(1907\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (200\/6)\/10*(-84)\/(-28).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*k + 2 - 2)*(-3*k + 49 + 102*k - 109*k).\nAnswer: 20*k**2 - 128*k + 147","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 9 - 21. Let z be 9*1 - (1 + i). Let j = z - -1. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, u: 2, p: 3}. Give prob of sequence up.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 divided by 23727.\nAnswer: 53\/23727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + 29*j + 154. Calculate q(-11).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/30*-14*1025\/615.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65938847.\nAnswer: 13, 37, 137087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3194 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2429335\/1607496 - -2\/18267. Let f = i - 1\/88. Factor 0 - f*r**4 + 4*r**3 - r - 3\/2*r**2.\nAnswer: -r*(r - 2)*(r - 1)*(3*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 20 = -2*b, -3*h - 4 = b + b. Suppose -395*g = -407*g + 60. Sort g, -1, -4, b in decreasing order.\nAnswer: g, b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-4))**(-33\/4)\/(d\/(d\/d**(-4)))**22 assuming d is positive.\nAnswer: d**(451\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 394625 - 394624.89999968. Let n = u - 0.1. What is n rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 divided by -127?\nAnswer: 29\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1 (b) 0.3 (c) 0.4 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 4. Let y = u + 2. Suppose -51 = -y*g + 15. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3 and -139\/3696.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and 1377429754882.\nAnswer: 1377429754876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 740*v**4 - 744*v**2 wrt v?\nAnswer: 17760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11492 + -11394. Calculate the remainder when 1247 is divided by x.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010415 to 6 decimal places.\nAnswer: -0.000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vtwt when four letters picked without replacement from {v: 2, h: 1, w: 1, t: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 2:11 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 + 46. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 539224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-3) - -24)*2. Let g = -32 + w. Solve -3*m - 2*l + g + 8 = 0, 3*m - 17 = -l for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2697765277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o. Let j be q(-5). Let y = j + 20. Let k = y - 8. Solve c + 1 = k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -623? (a) -1510 (b) 0.2 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17518 + -17519. Which is bigger: -61\/85 or u?\nAnswer: -61\/85","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*d + 55*d = -168114. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3089 + 356. Let c = -648 - b. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0146715 to four dps.\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 14*x**2 + 7)*(-1 + 3 + 1).\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 52435144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by (11\/3 + (-1 - 3))*-21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 637 + 0.5.\nAnswer: 637.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511980, 511015, 510048, 509079, 508108?\nAnswer: 507135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4163*j**2 + 0 - 3729*j**2 + 0.\nAnswer: 434*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1683)\/(-110) + -15)\/6. Sort c, -5, 0, 3 in decreasing order.\nAnswer: 3, c, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3647773504?\nAnswer: 2, 17, 23, 145771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -1016, -2324, -4156, -6506, -9368, -12736?\nAnswer: -16604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5518 is divided by 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + 3.01. Let q = 4 - 4.5. Let m = q + 0.2. What is the third smallest value in 1, m, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4 - 0. Let c be 1*764\/(y\/(-1)). Let g = c + -34. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -71 or -918\/13?\nAnswer: -918\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/143 and 3\/4927?\nAnswer: 54197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*u - 5 = -z + 22*u, -3*z - 13 = -u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 4*s - 14*s + 0*s - 3*s - s + (1 + 2 - 2)*(s + 0 + 0))*(-1 + 5 - 2).\nAnswer: -42*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 302334941 to the power of 1\/3, to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q - 11 = 4*t, -2 = 2*q + 3*t. Let j(b) = 3*b**2 - 3*b + 7. Is j(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x + 197*x + 49*x. Let k(u) = -4*u. What is k(n(a))?\nAnswer: -1028*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q - 8. Let o be h(7). Let b(k) = 3*k + 35. Let r be b(-10). Calculate the remainder when (-18 - 1)*(o - r) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -79*m**3 - 11*m**2. Let y(w) = -159*w**3 - 23*w**2. Let s = -8 - -2. Let x(z) = s*y(z) + 11*c(z). What is the third derivative of x(i) wrt i?\nAnswer: 510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22960\/(-861)*12\/(-80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*v - 29 = 5*x, 4*v = 3*x + 23. What is the units digit of ((-728)\/(-32))\/(v\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - 22 + 22)*(-1318 + 1318 + 252*g) + (-g - 5*g + 3*g)*(-2*g - g + g) in the form m + z*g + p*g**2 and give p.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1617780792?\nAnswer: 2, 3, 17, 503, 7883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 - 90 = 7*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 17 + 4 + 3 + 19\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1135734 and -0.1.\nAnswer: 113573.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 46784755 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: 178 (base 9) to base 4\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -26 times -0.072\nAnswer: 1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 195159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - v**3)*(2*v + 0*v - 5 + 672*v**2 - 664*v**2).\nAnswer: -8*v**5 - 2*v**4 + 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 44*f**2 + 1 - 42*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*k**3 - 2*k**3 - 2*k**3 - 7*k**3 + 3*k**3 + 3*k**3 + (2*k**2 + k - k)*(k - k + 2*k) + k**3 + 0*k**2 + 0*k**2 + 4*k + k**3 - 4*k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -25 (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -0*o. Suppose l + l = -4*y - 4, -o*l = 5*y + 9. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) 1 (c) 682\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2850\/152)\/(-25) + (170\/(-216))\/(-1).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by 3.\nAnswer: 154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**6\/10 + 18*k**5\/25 + 6*k**4\/5 - 6*k**3\/5 - 21*k**2\/10 + 388. Let r(n) = 0. Calculate n.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -24, -14\/577, 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -1080660?\nAnswer: -5403300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 55 = 17*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(11) - (sqrt(22)\/sqrt(2) - sqrt(11)) - sqrt(11)) + 3)**2 + 2 - (sqrt(275)*-1 + -5 + sqrt(132)\/sqrt(12)).\nAnswer: 4*sqrt(11) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 700146 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 140 - 32 - 50 - 30 - 33 - 30*m + 245*m.\nAnswer: 215*m - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -43 + 19 - -15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -52.44, 0.2, -1\/58796, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -373160000 to the nearest one million.\nAnswer: -373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -213303110?\nAnswer: 213303121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.3292 + -0.0092. Let f = w + -4.22. Which is the closest to -0.06? (a) -4 (b) 0.2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 12*q - 16. Let s(p) = -11*p + 16. Let v(h) = 2*s(h) + 3*t(h). What is the tens digit of v(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**5 - 10*o**4 + 448*o**3 + 38*o**2 - 271*o?\nAnswer: 60*o**2 - 240*o + 2688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -2\/491, 1\/15, -1\/3, 1, -3, 2.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -223709*r**2 - 2 + r + 223713*r**2 + 9 in the form l*r + k*r**2 + u and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -139 + 136 + 4*y**3 + 0*y - 5*y**3 + 3*y. Let j be l(4). What are the prime factors of j\/(-10) - (-3)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 4.39?\nAnswer: -35.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*s**3 - 3465*s**2*y**2 + 12508660*y**2 wrt s?\nAnswer: 348*s**2 - 6930*s*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/4)\/(255\/1275). What is the nearest to 9 in 0.2, -1, -0.4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9*(-3 - (-8)\/3). Let g be ((-3)\/(-9))\/(1\/z). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10017, 30462, 61295, 102522, 154149?\nAnswer: 216182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1578750 divided by -1250\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-28))\/((30\/21)\/(-5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160780013 is divided by 1560971.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -552, -1243, -2220, -3489?\n\"Answer: -j**3 - 134*j**2 - 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s. Let b = 148 + -149. Let d(f) = -3*f - 1. Determine b*w(x) - d(x).\nAnswer: 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - z = 4, 4*x - 4 = -0*z + 4*z. Solve -2 = -3*m - o + 12, 18 = m + x*o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318, -649, -994, -1359, -1750, -2173, -2634?\nAnswer: -3139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1180 and 11114420?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 928998 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.333 + 0.633. What is the smallest value in u, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - x - 2 = 0, 156*x + 19 = -5*w + 157*x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + -5)\/(1\/4*-4 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w)*(3 - 3 - 1) + 2*w + 7*w + 0*w - 57*w + 40*w - 136*w.\nAnswer: -143*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44583, -89166, -133749, -178332, -222915, -267498?\n\"Answer: -44583*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-60)\/(-80) + (-1)\/(-4). What is the remainder when ((4*51)\/3)\/f is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b. Let r(q) = -30598*q**2. Calculate r(k(c)).\nAnswer: -489568*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-2))\/((-3)\/3))\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yhj when three letters picked without replacement from {n: 1, h: 1, j: 2, o: 3, l: 1, y: 5}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-five eighths of a centimeter?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 - 86813751571.\nAnswer: -86813751571.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrljrtrjjrjrrj. Give prob of sequence lrjt.\nAnswer: 5\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(35\/(-2)))\/((-1)\/(-25)). Let y(b) = b**3 - 7*b**2 - 4 - 4 - 3*b**2 + r*b. Let j be y(9). Sort j, 4, -26 in increasing order.\nAnswer: -26, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 236615*v**4 + 165874*v**2.\nAnswer: 5678760*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119155 is divided by 125.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3624046297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3092.\nAnswer: 2, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 24*b + 15. Let o(u) = -85*u + 317. Let y be o(4). Determine c(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 32*o + 89. Let k(a) = -a**2 + a - 1. Let f(g) = h(g) + 3*k(g). What is the units digit of f(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 2465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/3)*z**11*(z\/z**(-2\/19))\/(z*z\/z**2) assuming z is positive.\nAnswer: z**(652\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -113, -204, -319, -458?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1322253 (base 7) in base 4?\nAnswer: 222121332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 * -0.41596.\nAnswer: 7.48728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*66\/(-11858)*-7.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 3*n + 1. Let r be j(-3). Let c(h) = -2*h**3 - 4*h**2 - h + r + h**2 + 3*h**3 + 2*h**2. Suppose -6 - 4 = -5*k. Determine c(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 72 + 210 = -5*s, -3 = s. Suppose 2*w + 780 = -4*w. Let u = h - w. Solve -8*z + 1 = -u*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127, 133, 143, 157, 175, 197?\n\"Answer: 2*u**2 + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 1, u: 1, t: 3, e: 5}. What is prob of sequence ue?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by -2?\nAnswer: 33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, 12, 7, -4 in decreasing order.\nAnswer: 12, 7, 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5377, -5382, -5387?\nAnswer: -5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -292 + 164. Let r = -103 - n. Calculate the remainder when 39 is divided by r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38079.66 rounded to the nearest one thousand?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -5*g - 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42\/5 - 289\/35. Let g(a) = a**2 - 6*a. Let u be g(6). Suppose 0 = 54*w - 56*w + 4. What is the second biggest value in w, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/203 (b) -7.7 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2711 or -60?\nAnswer: 2711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -688*p + 9001. Give l(13).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Let m = -41 - -41.4. Which is the second smallest value? (a) 5 (b) t (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zptzcpttpzt. What is prob of picking 1 c, 1 z, and 2 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 330885862 to the nearest integer?\nAnswer: 18190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v = -19*v - 16, -28 = -4*t + 3*v. Solve 3 = t*u + 19 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1\/w)**(-19)*(w*w**7*w)\/w**(-4\/5) assuming w is positive.\nAnswer: w**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 1031?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141213 (base 5) to base 9.\nAnswer: 32354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -52, 267?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 31144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12802 + 28653. Calculate the greatest common factor of i and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 185621 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6892408 - -5?\nAnswer: -6892403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000226842 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idd. What is prob of sequence did?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00567126165 to 4 dps.\nAnswer: -0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 16800\/(-44)) + (-26)\/(-143) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -4325403?\nAnswer: -4325403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118 + -111. Let c(g) = g - 4. Let p be c(r). Solve -5*j + 21 = -5*w + 1, -p*j + w + 14 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.8 + 13.9. Which is the nearest to u? (a) 1\/4 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 n when four letters picked without replacement from {o: 6, n: 4, u: 1, a: 2, e: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0385048 - 0.06?\nAnswer: -0.0214952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 301353, 602746, 904137, 1205526, 1506913, 1808298?\nAnswer: 2109681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117385717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c - 482. Let a(k) = -2*k**3 + 42*k**2 - 37*k + 3. Let b be a(20). What is the tens digit of w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -1207*w**3 - w + 2. Let k be h(1). Let t be (-48)\/32 - k\/4. Suppose -2*v = 3*b - 182, -b - 4*b = 5*v - t. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64, 59, 52, 43, 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 14) in base 10?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -52. Let r be a\/(-40) - 4\/10. Put 0, 5, r in decreasing order.\nAnswer: 5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*-1*(0 + sqrt(1216))*1 + -3 + 4)**2.\nAnswer: -320*sqrt(19) + 30416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200 - -318. Let f = g + -115. What is the third smallest value in f, 1\/5, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7644\/(-1092))\/((-2)\/(-2)))\/((-2)\/(-26))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3279 + 3266. Is n > -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 9*l + 3*l**3 + l**3.\nAnswer: l**3 - 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 0. Suppose -4*o + y = -3*y - 68, 2*o + s*y - 14 = 0. Suppose 10 = 5*q - v - 0, 2*v - o = -q. Solve 4*i + q = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 248 and 116199?\nAnswer: 28817352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-157154 + 157154 - 216*d)*(-4 + 22*d**4 + 4).\nAnswer: -4752*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 29 + -7 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10084 + 1447*q - 231*q - 108*q + 952*q + 407*q wrt q?\nAnswer: 2467","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3757 + 21497 = 9*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, 2, 9186 in increasing order.\nAnswer: -4, 2, 18, 9186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*k + 11*k - 44. Differentiate q**4 + 1 - 4*q**4 - k - q**4 wrt q.\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w**2 - 3*w - 3. Let t be b(4). Let x = -138 + 125. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 182404925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 102457 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 10 - (0 + -10)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -390, 1605, 6006, 12825, 22074, 33765?\nAnswer: 47910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11982.\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/71575 and -68\/12075.\nAnswer: 4938675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -892 - -1189. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**4 + 4*x**3 - 4*x**3)*(84441*x - 42216*x - 42221*x - 639).\nAnswer: -8*x**5 + 1278*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/7 (b) 4 (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/13 (b) 6491 (c) -6\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3301 times 5535\nAnswer: 18271035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*(-1)\/(-4) - (-2 - 0). Suppose 7 - 18 = p + 4*f, 1 = -c*p + 4*f. What is the smallest common multiple of 14 and (-13)\/(-2) + p\/(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1600 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s - 3. Let j be -9*1*(-2)\/6. Suppose -k = j*p + 12, 24 = -3*k - 4*p - p. Calculate q(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 18, 0.5, -2\/7, 54\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 166 + -663\/4. Let n(l) be the first derivative of -4*l + 0*l**3 - 2 + 0*l**2 + w*l**4. Differentiate n(b) wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**3 - 2*d**2 - 15*d + 36 = 0?\nAnswer: -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**10\/75600 - r**6\/360 - r**5\/30 + 3*r**2. Let v(h) be the third derivative of u(h). Differentiate v(g) wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.033 - -63.967. Let b = g - 63. Let j = b + -1.018. Round j to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + -3 - (-38 + 26 + 33)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1476 and 22655288?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.79 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -310783665, -621567332, -932350999, -1243134666, -1553918333?\n\"Answer: -310783667*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 17467 + -f?\nAnswer: 17458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x + 1. Let j(v) = -2*v. Let w = -495 + 512. Suppose 0 = 10*z + w - 67. Give z*j(f) + 3*p(f).\nAnswer: 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3005, -2, -5, 0, -2\/7, 21, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (15 - 3) + -30 + 47 + -100?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 0.07578 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.338 + -2.662. Let c = 1.4 + -1.5. Let n = 1.7 + -2. What is the nearest to c in g, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.7 times 0.07\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5184 and 15168?\nAnswer: 409536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(21)\/sqrt(3) + -1.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1600\/9 in 4.2, -3, -112?\nAnswer: -112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -12 - q + 32 + 0*q + 2*q - 11. Let c(n) = -6*n. Let s be c(1). What is b(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.39, -2\/15, 122, 0.5, -0.5 in increasing order.\nAnswer: -9.39, -0.5, -2\/15, 0.5, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8244 by 9.\nAnswer: -916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.2, 1\/4, 185, -3, -131.\nAnswer: -131, -3, 0.2, 1\/4, 3\/2, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g**2 - 14*g**2 + 11*g**2)*(-9352*g**2 + 4 + 9349*g**2 - 59).\nAnswer: -30*g**4 - 550*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eiee when four letters picked without replacement from {i: 6, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 - 10037*y - 25*y**2 - 26*y**2 - 49 + 9938*y = 0. Calculate y.\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -25, 17.8, 0.3?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -0.27?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/72*-3)\/((-4)\/(-96))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that l**3\/6 + 44*l**2\/3 - 1046*l + 5712 = 0.\nAnswer: -136, 6, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 37060 (base 8) to base 7\nAnswer: 64262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 - 3*g - 4. Let v be x(-4). Let b = 16 - v. Suppose -4*i - 56 = -b*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 3. Let u be m(17). Let y = u - 6. Calculate the greatest common divisor of 75 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and -25.3?\nAnswer: -885.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 69.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 2, y: 3, x: 1}. Give prob of sequence xuyz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**4\/6 + 7*n**3\/6 + 3*n**2 + 2*n. Suppose -4*r = -3*y - 36, 27*r - 28*r - 4*y = 10. Give f(r).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -270, -535, -792, -1041, -1282?\n\"Answer: 4*u**2 - 277*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2214 + 2213.8. Which is the fifth biggest value? (a) 3\/5 (b) -4 (c) x (d) 8 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -298, -592, -938, -1294?\nAnswer: -1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2239966 or 15679758\/7?\nAnswer: 2239966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35433276 and 11811092.\nAnswer: 35433276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30316 + -30315.87. Is r equal to -2.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112201 (base 3) in base 15?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-5))\/((-20)\/2)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(136)*-2 - sqrt(136))\/sqrt(8)*-5*-6)**2 - (4 + (3*(1*sqrt(136) - sqrt(136) - sqrt(136)))\/(5*sqrt(32))).\nAnswer: -826204 + 3*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-160)\/12*666\/(-2664)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + h + 2*h + 2 - 2 + h + (2*h - 2*h - 2*h)*(-3 + 3 - 2) - 6 + 2*h + 8 + 3 to the form k*h + g and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**9*(q\/q**(-2\/5))\/q*q*q)**(-1))**(1\/13) assuming q is positive.\nAnswer: q**(-57\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -86, 340, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o - 3*o + 0*o)*(-22 - 10 - 39)*(-o + 5*o - 5*o) in the form j*o**2 + k*o + m and give j.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88 by 88.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/18 + 3)*-49511370. Suppose -4*v = -4*n - f + 8863588, -2*v = 4. What is n rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2*r - 84 = 0, -17 = l - 5*r - 2. Let o be (-27)\/l + 6\/(-15). Sort o, 1, 0.3, -0.4 in descending order.\nAnswer: 1, o, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 4*v - 16 = 0, 10*l - 7*l - 9 = -3*v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**7\/63 - m**6\/45 - m**5\/30 + m**4\/18 + 4*m. Factor o(r).\nAnswer: 2*r**2*(r - 1)**2*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d**11*(d\/((d\/((d\/d**(-2))\/d))\/d))**(20\/9))**(1\/2) assuming d is positive.\nAnswer: d**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232 - 220. Suppose 7*j = -u*j + 13908. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -4 (c) -2\/55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*t - 0*t - 49, 40 = 5*t + 3*f. Let o = t + -6. What is the remainder when 12 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4022, -16077, -36162, -64271, -100398, -144537, -196682, -256827?\n\"Answer: j**3 - 4021*j**2 + j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 260563 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) -2\/47 (c) 9.43 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -16681*i**4 - 16696*i**4 + 33378*i**4 + 8*i**2 + 3*i**3 + 2 - 124*i**2 as j*i**4 + v*i**2 + c + b*i + x*i**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1867038.06349143 - 1867038. Let u = 0.0635 - m. Round u to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6399 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -1 - 15\/8*i**4 + 4*i**2 + 0*i - 1\/3*i**3. What is the first derivative of c(w) wrt w?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245*u + 263*u = 301914. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5394 divide 2879128410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-114))\/((-1312)\/(-1968))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**45)**(-1\/2) assuming b is positive.\nAnswer: b**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*b + 3391, -o - 2*b + 651 = -478. What are the prime factors of o?\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 129*a + 3517. Give p(-85).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145488*p = -145537*p + 539 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*k + 369*k + 99*k.\nAnswer: 341*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 3*k + 4, 26*p - k = 27*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -3869*r**6\/120 + 941*r**4\/6 + r**2 - 422. Find the second derivative of v(l) wrt l.\nAnswer: -23214*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2224, 0, -4, -50, 2, 3 in decreasing order.\nAnswer: 3, 2, 0, -4, -50, -2224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*q**3 - 203*q**2 - 14*q**3 + 204*q**2 as g*q**2 + o*q**3 + t + z*q and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 1:23 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06245 take away 0.211?\nAnswer: -0.27345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 694, 693, 692, 691, 690?\n\"Answer: -a + 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137 or -1?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1085597.\nAnswer: 131, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1108 and 290?\nAnswer: 160660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 13*u**3 + 588*u**2 - 462*u - 98. What is f(-46)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 108984515?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 9)\/((-2)\/(-2)). Let x be (-3)\/w - 20\/(-6). Let i = -125993 + 125999. Solve -3*u + 3 = -g + i, 0 = -5*u + x*g - 9 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -42*h. Let c(f) = -43*f. Determine -4*c(z) + 5*j(z).\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24 - 23 - 212*i**2 - 2*i + 203*i**2 to the form g*i**2 + b*i + r and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 373 by -101353.\nAnswer: -373\/101353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(24)\/sqrt(2))\/sqrt(4) - (sqrt(3) - sqrt(147)*-1).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8355 - 156?\nAnswer: -84ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**4\/6 + 5*w**3\/3 + 5*w**2\/2 - 5*w\/3 - 8\/3 = 0.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 916119133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -762 - -1088. Let z = -11 + 16. Suppose -z*n + u = -f, -6*n + 262 = -2*n - 2*u. Calculate the greatest common factor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -51, -0.062, -2\/5.\nAnswer: -51, -2, -2\/5, -0.062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -5*x**2 + 6240*x - 49600 = 0.\nAnswer: 8, 1240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 - 0.2. Let o = -42 + 41.5. Let m(w) = -w**3 + 3*w**2 + 3. Let t be m(3). What is the closest to x in t, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1364.782 nanograms?\nAnswer: 1.364782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 23*d**2 - 558*d - 31. What is h(15)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2702543011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*q - 26*q = -594953 + 64698. Which is smaller: q or 9643?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 2 (c) -1 (d) 0.037\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21240013132 - -4?\nAnswer: 21240013141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/1266025 and -19\/14774?\nAnswer: 210160150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 470*5\nAnswer: 2350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*a + 6 + 1 = 0, b - 9 = -4*a. Let o = 65 + -29. Let v be (13\/(-2))\/((-18)\/o). Solve 16 = b*h - h + 3*c, 2*c - v = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 3 (c) -2 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(45\/(-7)) + (-4)\/18?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 10*d + 13. Let r be u(-11). Let m be (4\/(-12))\/(r\/(-12)). Suppose 5*a + 12 = c + 3*a, 3*c - 6 = -4*a. Solve -m*z = -c*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4281, -4280, -4279, -4278?\nAnswer: -4277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3172 (c) 0.4 (d) -1.1 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -87322 and 455.\nAnswer: -86867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 1912?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(13 + -104))\/(2\/136).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -775\/213 (b) -0.5 (c) 3 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from mcmhamhyaahcaaam?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 10. Let n be q(5). Suppose 0 = -n*s - 3*o + 18, -4*s + 2*o - 3*o + 13 = 0. Solve -t = 2*t + s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/7)\/z**1)\/(z**5)**(4\/13) assuming z is positive.\nAnswer: z**(-179\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 z when four letters picked without replacement from {p: 1, o: 4, k: 5, z: 3}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117107 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 17*y. Let g(a) = a**3 - 17*a. What is -4*g(x) + 3*l(x)?\nAnswer: -x**3 + 17*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - z = -1, 0 = 2*h - 5*z - 8 + 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.8 (b) -4 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*u = 412025 + 720949. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*d**4 - 33 with respect to d.\nAnswer: -684*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*r - 20, 3*w - 4 = w + 5*r + 36 + 58 for w.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 3:05 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -8, 6*t - 3*t + 4 = -5*o. Suppose 8 = t*v - 2*x, 3*x + 15 = -0*v + 4*v. Solve r - i = 9, -i - v = 4*r - 14 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 242 (base 9) to base 7\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmffmmmmmmmfmfmmmmm. Give prob of sequence mfmf.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.297 - 0.097. Let f = -8 + 7.9. What is the third biggest value in f, -5, 5, l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -639 + 639. Let c(z) be the third derivative of 0 + 0*z - 10*z**2 - 11\/6*z**3 + 1\/24*z**4. Calculate c(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - -4) + (7 + -14 - -15 - 99).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5652486 and 5558.\nAnswer: 5652486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 17. Let h be (m + -30)*(-1)\/4. Let u = 4 + -2. Calculate the greatest common factor of u and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -6*p + 2*p - 5*r, 2*r = 2*p + 10. Let s be 4\/14 - (-107)\/p. Is 27 a factor of 93*(-10)\/s*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11310130 (base 4) to base 12\nAnswer: 11964","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47317260?\nAnswer: 2, 3, 5, 788621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/9, 0, 13, -27, 439 in ascending order.\nAnswer: -27, -0.5, 0, 2\/9, 13, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a5 - 2d219?\nAnswer: -2d074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*i**2 + 10*i**2 - 23*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-2\/47) assuming d is positive.\nAnswer: d**(-2\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -35, 5, 19, 7 in decreasing order.\nAnswer: 19, 7, 5, 3, -1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 3, n: 1}. What is prob of sequence un?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -7*l**3\/3 + 33*l. Let z(a) = 16*a. Let v(g) = 3*g. Let i = 53 + -55. Let y(o) = i*z(o) + 11*v(o). What is p(y(b))?\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -3, -4947 in ascending order.\nAnswer: -4947, -3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*u + 40, x - u + 4*u - 23 = 0. What is the remainder when 207 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 164 and 924058?\nAnswer: 1848116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, y: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*t**2 + 4933 - 47*t**3 - 4935 + 39*t**3 - 18*t**2 - 12*t**2.\nAnswer: -8*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, k: 1, i: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.07, -3 in ascending order.\nAnswer: -3, -1, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Suppose 0 = 5*p - 2*x - 6 - 5, 1 = -3*p + 5*x. What is the closest to 0.1 in g, -1\/6, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 divided by -5.\nAnswer: 137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 116\/12 - (-3)\/9. Let o = 13 - t. Suppose j = -o*j + 16. Is j at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 157*h**2 - 7197*h - 3694. What is g(-194)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77582 is divided by 5172.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 217157 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**2 + 7*x**2 - 2*x**4 + (-2*x**2 - 3*x + 3*x)*(-2*x**2 + 9*x**2 - 3*x**2) to v*x**3 + p*x**4 + q*x + u + w*x**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*b + 21 - 7, 2*x = -2*b - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 + 4. Let b be c(-7). Let d(q) = 5*q - 5. Let n be d(4). Suppose -n - 53 = -b*t. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of p**4\/4 + 2*p**3\/3 + p**2\/2 - 2*p + 682. Let x = 8 - 11. Calculate c(x).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -81*i + 259 + 585 + 1586. Solve -4*f = 2*x + 8, 5*x = 3*f - i + 23 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1341 and 4923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 + -0.1. Let o = m - -0.24. Let n = 2.8109 + -2.9109. Which is the nearest to 1? (a) -0.9 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {p: 3, c: 1, n: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124261975 divided by -5.\nAnswer: 24852395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/(v*v\/(v\/(v\/v**(-4)))))**24*((v**(1\/2)*v*v)\/((v**(-1)*v*v)\/v))\/v**(6\/13) assuming v is positive.\nAnswer: v**(-4939\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -125\/14 + 52\/7. Which is the closest to -1? (a) 3 (b) g (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/5 - 6*t**4\/5 + 36*t**3\/5 = 0. What is t?\nAnswer: -6, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1302 = -124*p - 186 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2078 and 792406.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311.4 - 0.00250310188.\nAnswer: -311.40250310188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/((-1)\/6*-9). Suppose -4*v - 3 - f = 3*a, a = -4*v - 9. Let s be 108*1*v\/(-3). What is the highest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*h = 36*h + 4703 + 2612 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -42790027.\nAnswer: -2567401.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3559100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 less than -29.1968123?\nAnswer: -600.1968123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/13))**(-4\/7)\/(k**(2\/7))**41)**(5\/11) assuming k is positive.\nAnswer: k**(-5290\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6612*n**4*w - n**4 + n**3*w - 3*n**3 - 627*n**2 + 14*w wrt n?\nAnswer: 158688*n*w - 24*n + 6*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*j + 2*h + 4884, 4*j - 4*h = 4880. Is j smaller than 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 22 = 3*i, 2*i + 7 = -5*a - 10. Let m(v) = 13*v**2 - 11*v - 8. Let r(h) = 4*h**2 - 4*h - 3. What is i*m(p) - 11*r(p)?\nAnswer: 8*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 6*q**2 - 31*q + 43. Let r be n(2). Solve 2 = -5*h + v, -6*v = -r*v + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 108 - 28 = 0. What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2964*z - 14258. Determine j(-4).\nAnswer: -2402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7322 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(684) + 1 - (0 + sqrt(684) + -1)) + -3 + (sqrt(684) - -5*(sqrt(684) - sqrt(684)*-1) - (1 + sqrt(684) + -1)))**2.\nAnswer: -192*sqrt(19) + 43780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7167 + 7167. Let m(v) = v**2 + 2*v - 7. Let f be m(-5). Sort f, -1, x.\nAnswer: -1, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.21 and -1667.416.\nAnswer: 350.15736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -4*7\/252?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 30660, 58244, 85828, 113412, 140996, 168580?\n\"Answer: 27584*c + 3076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2162947.\nAnswer: 2162947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-2)\/1) + (2 - 8) - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/6 - 73*c**2\/3 - 7090*c\/3 - 13268.\nAnswer: (c - 214)*(c + 6)*(c + 62)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*i + 2*i - 43 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 0, -4*q - 12 = -3*c + 4. Suppose 2*d = -2*p + 18, 5*p - d + 0*d - 15 = c. Suppose -z = -p*z + 207. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*g - 211423, -3*g - 211427 = -191*u + 186*u. List the prime factors of u.\nAnswer: 42283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 10 + 2 + 20*x to k + p*x and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 2. Let k be (-14)\/4*(-36)\/21. Let q(j) = 2*j - 9. Let b be q(k). Calculate n(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 23\nAnswer: 15\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -42d7012?\nAnswer: -42d7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10.268625103 - -2139\nAnswer: 2128.731374897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -6*v + 2. Let f be h(-2). Suppose 4*z - 2*m + 4 = 0, -2*m - f = -z + 6*z. Suppose -690 = -77*n + 109*n + 106*n. Is z greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e06 + 809?\nAnswer: 2710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 0.08 (c) -3 (d) 21 (e) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {y: 3, a: 1, t: 1, x: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, 1 q, and 1 o when four letters picked without replacement from {q: 2, o: 3, g: 5, l: 1, k: 1, m: 3}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3*t**2. Let g(s) be the third derivative of s**4\/8 + 3*s**3\/2 + 57*s**2. Give u(g(r)).\nAnswer: -27*r**2 - 162*r - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*(48\/576)\/(3\/135)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.5124ng in kilograms?\nAnswer: 0.0000000009725124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 38*i = -69*i + 104*i - 257, 2*i + 10 = 2*f - 2*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 69 = r, -r - 3*w + 7*w + 78 = 0. Let j be 9\/(-54) + r\/12. Solve 5*z = m + 2*m + 6, 0 = -5*z - 3*m - j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112\/35 + 8\/10. Calculate the greatest common factor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103 divided by 567?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 332 = -8*f + 3*f, 0 = -4*c + 2*f + 466. Let d = -224 + 241. Calculate the highest common divisor of d and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j - 113*j - 105 = -71*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 20 - ((63 - -4) + (-7 - -4))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Let f be (-2 + k\/3)*3. Let b(h) = h**3 - 2*h**2 - 5*h + 3. Let v be b(3). Put f, v, -4 in descending order.\nAnswer: f, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22\/7, 4, 6\/5, -0.06, -1\/4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0.4, 1105, 1.6 in decreasing order.\nAnswer: 1105, 2, 1.6, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -167229833236 plus 2?\nAnswer: -167229833234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d = -8*d + 65. Let q(g) = 6*g + 9. Let b(x) = 5*x + 8. Let n(a) = 4*b(a) - 3*q(a). What is n(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -t**5\/60 + t**4\/3 - 2*t**3\/3 + t**2. Let j be l(4). Suppose -4*d - 3 + 0 = f, 4*f = 2*d - j. Solve 0*r + 3*r + 12 = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.21 rounded to zero decimal places?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26122.\nAnswer: 2, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004153624349 to 4 decimal places.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1574\/63 + 25. Let r(v) be the third derivative of 7\/90*v**5 + 0*v + 0 + 1\/18*v**4 - v**2 + 1\/20*v**6 + m*v**7 + 1\/504*v**8 + 0*v**3. Factor r(h).\nAnswer: 2*h*(h + 1)**3*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, b: 2, x: 2, y: 4, m: 1, o: 3}. What is prob of sequence mxoi?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 = 3*k + 367*o - 365*o, o = -2. What is the highest common factor of k and 377?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1152.638999 to the nearest 10.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5711 (base 10) in base 3?\nAnswer: 21211112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 5*c**2 - 8*c + 12. Let p be g(6). Let h = -3 - -2. Let n = p - h. Sort 0, -3, n.\nAnswer: -3, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-3\/4)*u)\/u*u))**(-35) assuming u is positive.\nAnswer: u**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046265652 minus 0.5577?\nAnswer: -1046265652.5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22995 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -5 + 2*(2 + 104)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 - 5*t + 5*t + (7*t**4 + 14*t**4 - 32*t**4)*(0 + 4 - 9) + (2*t + 0 + 0)*(-t + t - t**3).\nAnswer: 50*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - o - 4 + (2*o - 1 + 1)*(5 - 2 - 1) + 6*o - 15 + 15)*(-4 - 7 + 7) to the form j*o + k and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010557 rounded to six dps?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -24, 20\/21, -0.7?\nAnswer: 20\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ninety-seven halves of a week?\nAnswer: 8148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 - -3. Let w = 27 - 27. Which is the closest to w? (a) 5 (b) -2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/7)*o*o\/o**6)\/(o**(2\/11))**(-50) assuming o is positive.\nAnswer: o**(414\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11, -15, -19?\n\"Answer: -4*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202537 is divided by 33318.\nAnswer: 2629","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 3}. What is prob of picking 2 n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1897? (a) -0.4 (b) 4 (c) 5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -13*y**3 + y**2 - y - 1. Let t be ((-10)\/(-6) + -2)*3. Give o(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g**2*q**2 + 15*g**2*q - 25*g**2 - 2297793*g*q**5 + 2*g*q + 2*g - 80*q - 7 wrt q?\nAnswer: 10*g**2 - 45955860*g*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4675692 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -680445435494 from -0.9.\nAnswer: 680445435493.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 371.3 and 4.062536.\nAnswer: 375.362536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4573200\/296)\/(-206)*2\/(-20)*-2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/300 and 127\/1227210.\nAnswer: 12272100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 9*y - 8*y. What is the derivative of 3*g**4 + g**4 + 1 + 1 - 7*g**y wrt g?\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 20*d + 26*d - 47*d.\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5607*f**5 + 430*f**3 + 372*f + 9010.\nAnswer: 112140*f**3 + 2580*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/120 - w**5\/12 + 7*w**4\/24 - w**3\/6 + 7*w**2. What is the units digit of s(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9046 - -9045. Sort 0, 10, m, -5 in decreasing order.\nAnswer: 10, 0, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3 + (-3792)\/(-1893) + 1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -345 and -0.2389.\nAnswer: -345.2389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, -0.5, -0.4, -3\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, h: 4, w: 3, k: 2}. Give prob of sequence ck.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2*19\/((-133)\/(-56))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {c: 1, w: 19}?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w - 2494 = 197*w - 644 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3639697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + (34 - 10) + -24 + (3 - 6)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 129*m + 456. Is 39 a factor of r(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/80629 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4219402 rounded to three decimal places?\nAnswer: -0.422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 12:30 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.026 - -0.0259972. What is d rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**3 - 5*o**2 + 5*o - 5. Let k(a) = 3*a**3 - 4*a**2 + 4*a - 4. Suppose -1 = -3*h + 2. Let s = h - 5. Determine s*u(c) + 5*k(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x + 2*t - 2, 2 = 3*x + 2*t. Let i = 3 - x. Suppose i*r + 15 = 3*m, 0 = -4*m + 5*r + 7 + 11. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*k - 91*k + 1 + 10*k to the form d*k + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -230, -243, -280, -353, -474, -655?\nAnswer: -908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*u**4 + 13*u - 15*u - u**2 - 8*u**4 + 2 in the form t*u**4 + j*u**2 + x*u + q*u**3 + h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k - 8. Let z be c(0). Calculate the remainder when 29 is divided by 118\/8 - 2\/z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 39466, -0.7, -4, 5, 4.\nAnswer: -4, -2, -0.7, 4, 5, 39466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11467 - 11469. What is the closest to 2\/17 in 20, d, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 2. Let i(g) = 8*g - 184. What is 10*d(r) + i(r)?\nAnswer: -2*r - 204","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.065103506795 + -0.4.\nAnswer: -5.465103506795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbibkkbikkkbbbb. Give prob of picking 1 i and 2 b.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1634*t - 20. Let w be f(8). Let r = w + 209549\/16. Calculate the common denominator of r and -21\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 4*i**2 + 2*i + 7. Let j be -4*(-1)\/2*27\/18. Let l be m(j). Solve l*y - 30 = 10*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*a + 1113691, -a - 5*k + 245165 = 22446. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w + 16 = 10*w. Let x be (3\/w)\/(20\/8 + -2). Let s = -3 + 2.9. What is the smallest value in 2\/15, x, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 8*x**2 + 3*x - 4. Is k(-5) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 5*k**8\/336 - k**7\/21 - k**6\/24 + k**5\/6 + 13*k**2\/2 - 21*k. Let o(b) be the first derivative of j(b). Solve o(r) = 0 for r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 0 - 4 - 7 - d + 1. Let g be v(-14). Solve 0 = -2*m - a - 12, 2*m = a + g*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-7 - -3 - (0 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7.967786 kilometers?\nAnswer: 796778.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0072718719 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 2 - 4 + (1 - 2 + 0)*(-23 - 5 + 14))*(16 - 6*y - 35 + 3*y)*(3*y**3 + 3*y**3 - 4*y**3) to the form n*y**2 + m*y + g*y**4 + a + f*y**3 and give f.\nAnswer: -646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*-3*4\/6. Suppose -3 - 1 = -2*t. Suppose -n + 1 + t = 0. Solve -4*q + n*q - r = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -169 or -0.1?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 46 = 5*i + 2*o, -o = -3*i + 27. Solve -i*k + 2 = -10*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1*sqrt(19)*1 + sqrt(19))*-2*-4)**2.\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1578208 + -356792. What is m rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7*(3 + -5 + 3). Suppose h*x - 19 = 9. Suppose 19 = 9*c - 53. What is the lowest common multiple of x and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2218 and 1.\nAnswer: -2218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 771 by -457.\nAnswer: -771\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*r = 100, -4*y = -r - 78 - 2. Let l = -10 + 4. Let v be 4\/(-14) - l\/y. Solve -9 = -3*w - v*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from nuouuuuoyoonaa.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-56)\/(-49) + (-1)\/7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23101103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsftumuwfmu. What is prob of picking 1 w and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1408 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -59.8 and 0.29?\nAnswer: 60.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1096, 2178, 3214, 4180, 5052, 5806, 6418?\nAnswer: 6864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -35 - -22502?\nAnswer: 22423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 637 minutes after 8:47 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Find r such that 13995*r**5 + 36417*r**4 - 30711*r**3 - 36453*r**2 + 16716*r + 36 = 0.\nAnswer: -3, -1, -2\/933, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7 - 91?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1511 - -2465. Calculate the highest common factor of 212 and w.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 5*m**2. Let s be 2 - (-2 - (0 - -1)). Let l be j(s). Which is the closest to l? (a) -0.3 (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 288, 393?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -71676 divided by -18\nAnswer: 3982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2000829*n**4*v**2 - 2*n**4 - 2*n*v**2 + 2*n*v + 8*n - 8298*v wrt n?\nAnswer: 24009948*n**2*v**2 - 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4 - 7 - 9 + 8 + (6 - 4 - 1)*(3 - 4 + 0))*(2 + 3*z**2 - 2).\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 2 (c) -1\/5 (d) 1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 976 - -2275. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9553, -19081, -28609, -38137, -47665?\nAnswer: -57193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6.11 = 49024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 5) to base 9\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - 5*d + 3. What is the remainder when b(6) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2549200 is divided by 2549190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m + 132. Calculate o(33).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1000 * 135.\nAnswer: -135000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -284, -285, -286, -287, -288?\n\"Answer: -r - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 3*r = -14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3710 = -141*s - 609 - 10768 for s.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.64. Let a be ((-2)\/6 - -1)\/(42\/18). Which is smaller: a or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5859568.7 and -0.1.\nAnswer: 585956.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 1099 = 313*a - 370. Solve -3*w + 2*h - 8 = 0, -3*w + 1 = a*h - 19 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-48)*30 - (2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/8*12\/(-18)*-6. Let b be -1 + 8\/5 + r\/3. Let n be (2\/3)\/((-14)\/12). Put b, -4, n in descending order.\nAnswer: b, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + -9 + (2 - 5) + -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013b (base 14) to base 13.\nAnswer: 147a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/224 - -233\/224. Find the common denominator of m and -31\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*u = -0*j + 5, j + 4*u + 25 = 0. Let t be 4 + j\/1 + (1 - -25). Suppose 7*o + t = 74. Let g(v) = v**2 - 5*v - 10. Determine g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/5)\/(2\/20). Let w be -14*3\/12*-2. Let c = v + w. Is 24 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3141 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321984, -1288035, -2898122, -5152245?\nAnswer: -8050404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1057120 and 12480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 6*f**2 - 14*f + 18. Let n be v(-8). Suppose -y = -x + y + 14, -n*x - y = -33. Calculate the remainder when 77 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 12 - 45. Is 13 a factor of (2 - 1) + 2 - (-1178)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581136*z**4 + 12*z**3 + 2*z**2 + 789*z - 428783 wrt z.\nAnswer: -13947264*z + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529164 is divided by 52821.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 10:44 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 = 2*w. Solve -w*f - 3 = 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34673 = -76*r + 36801 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v**3 + 5*v + 5. Let f(q) = -q**3 + q + 1. Let g(p) = 4*f(p) - x(p). Let z be 3*(-10)\/(-75) + (-115)\/(-25). Suppose -z*m + 474 = 479. Give g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14 in -2, 0.2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 10\/4 - (-1548)\/24. Let l be (r\/(-40))\/(1\/(-5)). Which is greater: l or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -57*t + 138. Let i(w) = 2*w**2 + 6*w + 3. Let m be i(-3). Factor 3\/2*b**4 - t*b + m*b**3 - 3\/2*b**2 + 0.\nAnswer: 3*b*(b - 1)*(b + 1)*(b + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/14*(-244)\/1220?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775311.\nAnswer: 3, 258437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.901 + 0.001. Let h = 0.9 + s. Let d = 13.8 - 14.2. Which is the third smallest value? (a) d (b) h (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7103699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - sqrt(242)*2)**2 + sqrt(2) + 3 - ((sqrt(240) + sqrt(240)*1 - sqrt(240))\/sqrt(12))\/sqrt(10)) + 5.\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 + 15730*v**4 - 8*v**2 + 22*v?\nAnswer: 120*v**3 + 377520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22653239, -45306477, -67959715, -90612953, -113266191, -135919429?\nAnswer: -158572667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iigixccigiic. What is prob of sequence cg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -54 - -61. What is the greatest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 268 = 76. Let u be (-3)\/(0 - (-3)\/2). Let d be u*(-3)\/((-6)\/(-160)). What is the highest common divisor of d and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25510552 is divided by 1227.\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*p + 6 = 0, 2 = -0*j - j - 2*p. Let i be (-1214)\/3*j*(-12)\/16. Suppose -169 = 3*x - i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480056 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1284659*j**2 - 428221*j**2 - 3*j**3 - 428224*j**2 - 428214*j**2 + 6*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 2*d - 10 = 0, n + 38011*d + 26 = 38015*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, m: 11}. What is prob of picking 4 m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n**4 - 106 - 34 - 15*n**4 wrt n.\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) 9 (b) 0 (c) 0.1 (d) -0.1 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/4*(16 + 248\/(-16)) - 21?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3) - (-7)\/(-21)*-19. Suppose 3*u + 24 = v*u. Does 8 = u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8690761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0878 take away 5?\nAnswer: -4.9122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 4, -0.2, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 21*x**2 - 79*x - 80. What is the remainder when 916 is divided by t(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:15 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 52 + (4 - 21 - (35 - (48 - -1)))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 94*t**2\/3 + 784*t + 3432.\nAnswer: -2*(t - 66)*(t + 6)*(t + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -206, -15, 1 in decreasing order.\nAnswer: 1, -15, -201, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -1 - 0 - (-28 + (8 - 20 - -11))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 4*y + 2, -y = 2*t + y - 4. Let m = 13 + -13.1. Which is the third smallest value? (a) m (b) -3\/8 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -5*x**3\/3 - x. Let h(w) = w**3 + 4*w**2 + 6*w + 6. Let p be h(-2). Let r(u) = -p*u + 16303 - 16303. What is k(r(o))?\nAnswer: 20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = -x. Suppose 0 = 3*w + w - x. Suppose -2*v + 275 = w*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 2*q**3 + 2*q + (-2 - 2 + 2)*(6*q**3 - 2*q**3 + 4*q**3) + (5*q + 0*q - 3*q)*(-2*q**2 + 4*q**2 + 0*q**2).\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1649, 1626, 1603?\n\"Answer: -23*z + 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + 0.8. Let f = 191\/3 - 64. Let v be (-3)\/(3\/(-30)*6). Which is the closest to h? (a) v (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1476872?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 11*u + 73 + 30, -3*u - 44 + 17 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 308112*o**4*q**2 - 3*o*q**2 + 16*q**2 - 437 wrt o?\nAnswer: 1232448*o**3*q**2 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336 - 336 - 162*s**2.\nAnswer: -162*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-6) - (-4)\/12. Suppose 69 = 20*r + 9. Suppose 4*n + 26 = 3*s, -3*n = r*s - 10 - z. Solve 0 = 2*y - s*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 520.21 + -521. Which is greater: w or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - l. Let z(i) = -i**3 + 4*i**2 + 13*i - 8. Let x be z(6). Let r(o) = 5*o**2 + 13*o. Let h(f) = x*r(f) - 6*b(f). Factor h(v).\nAnswer: -4*v*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*x**4 - 543393*r*x + 3*r + 27*x**4 + 45642671 wrt x.\nAnswer: 4*r*x**3 - 543393*r + 108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*x - 0. Are x and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**2*x**3 - 12*a**2*x - 263*a**2 + a*x - 148*x**3 - 2*x**2 wrt x.\nAnswer: 6*a**2*x - 888*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, l: 2, r: 1, j: 1}. What is prob of sequence ljr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -178, -264, -350?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839997179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4740532375 plus -0.13?\nAnswer: -4740532375.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -4*h + 148 - 76, -4*h + 48 = -3*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 67573.2 to the nearest 1000.\nAnswer: 68000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 44 = 124. Let l = k - 16. Solve l = -i + 3 - 1 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 237*c**2 - 175*c - 1229. List the prime factors of v(-7).\nAnswer: 13, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 55*q**2 + 10*q + 25. Let c be h(-3). Suppose -4*b - 3*v = -316 - c, 3*v + 994 = 5*b. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 2*z**2)*(-19*z**2 - 9*z**2 - 3*z**2 + (-2*z + 1 - 1)*(2 + z - 2) - 3 - 3*z**2 + 3).\nAnswer: -72*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 90\/12 + 2\/4. Suppose -2*n + 2 + l = 0. Sort 0, n, -5 in descending order.\nAnswer: n, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15293821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15431 divided by -772.\nAnswer: 15431\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8d9 - 2622?\nAnswer: -311b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 122 + -8 + (-7 - -24). Let -3*y**2 + 498*y - a - 11609 - 8927 = 0. Calculate y.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -24*g - 217979. Let f(y) = 3*y. What is z(f(r))?\nAnswer: -72*r - 217979","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**8\/420 + l**6\/90 - 2*l**3\/3 + 3*l. Let v(s) be the second derivative of o(s). Find the third derivative of v(c) wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012648 to six decimal places.\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 16*t**2 + 50*t - 522. Calculate a(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3390 = -1287*a + 4332 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j - 72. Let c be o(11). Solve c*t + 15 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 6, 7, 2\/71, 2, 81?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 2:28 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1036 = 5*s - 3*l - 1047, 5*s - 3 = -l for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5*i**4\/8 - 35*i**2 - 120*i + 88. Find m such that v(m) = 0.\nAnswer: -4, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vuuprdp. What is prob of picking 1 d and 2 u?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 345 + -341. Suppose 0 = -4*s - n*f + 81816, 9*f - 10*f = 5*s - 102274. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(4\/17)*y))\/y*y*y)\/(y*y**(-2\/25)\/y) assuming y is positive.\nAnswer: y**(359\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 426*j - 432*j - 42. Let u(q) = 5*q**3 - 5*q**2 + 11. Let r(t) = 4*t**3 - 4*t**2 + 10. Calculate j*r(y) + 6*u(y).\nAnswer: 2*y**3 - 2*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in 0.1, -1, 10\/47?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -2) + 831 + -814\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 432 = 245 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -51 (b) 0.4 (c) -1 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from ofezezxo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 218*i + 34 - 185*i.\nAnswer: 33*i + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 72, 179, 330?\n\"Answer: 22*d**2 - 3*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -8 (b) -16 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a day?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - 75 - q**2 + 8 + 0*q**3 - 2*q**3 to the form y*q**3 + h*q**2 + k*q + m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**2 - d - 2. Suppose -2 = 2*j + 3*n, -2*j - n = -4 + 6. Let l be 2\/j + -2 + -31. Let z = l + 37. What is t(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/5, -5, -3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -47 + -267?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5 - 4430*m**4 + 4932718*m**3 - 58648852*m**2 + 102040337*m + 478208738 = 0. Calculate m.\nAnswer: -2, 7, 2209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i. Suppose 5*v = -3*o - i*v - 12, 0 = o - 2*v - 7. Let f be 0 + -7 - -12 - 2. Is o not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2251 - 2250.927. Which is the smallest value? (a) -0.2 (b) 5 (c) r (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71337?\nAnswer: 3, 7, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + 2. Suppose 9*a = 46 + 233. Suppose a = t*n - 14. Solve n*m - 7 = -32 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83492 at most as big as 83490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2111 (base 6) to base 13.\nAnswer: -2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, f: 5}. What is prob of picking 3 f?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/111 and -17\/370.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(13) - (-1 + sqrt(13) - sqrt(13)))**2 + -4 - sqrt(130)\/(sqrt(40)\/sqrt(4))) + -1 + (sqrt(13) - ((sqrt(1300)*2)**2 + sqrt(1300))).\nAnswer: -5193 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n = -25. Solve 0 = j - 5*j + 2*z - 2, -5*z = n*j - 35 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 43*j**6\/15 + 2*j**3 - 7*j**2\/2 + 22*j + 1. What is the second derivative of s(m) wrt m?\nAnswer: 1032*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 - 4*v + 10. Suppose -2*y - r + 5 - 19 = 0, 3*r = -3*y - 24. What is the remainder when t(y) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 930.7475 * -5.\nAnswer: -4653.7375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(-5) + 28\/(-70). Is (-4 - -2)*s + 99 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) - (sqrt(68)*1 + sqrt(68))*-6))\/(((sqrt(64)\/sqrt(4))\/sqrt(2))\/sqrt(2))*2.\nAnswer: -130*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 2*p**3 - 8*p**2 - 11*p**2 - 1 to t*p**3 + h*p + k + m*p**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2. Let v(q) = -1110*q. Determine v(t(x)).\nAnswer: 1110*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52\/35 - 6\/5. Are z and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 76 = 16. Suppose 110 = 11*c - 6*c. Suppose -3*v + 4*n - c + 179 = 0, -2*v + 86 = 2*n. Calculate the remainder when v is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 38 (c) 1\/8 (d) 0.1 (e) -6\/5 (f) 523\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 668604\nAnswer: 2005812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*q - 3528 = -476*q for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 - -84. Suppose -q = -y, -3*z - 5*q + 55 = -2*z. What is the highest common factor of z and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + (-161)\/(-35))*65\/(-39)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 10 - 12)*(-f + 2*f + 0*f + (-2 + 1 + 0)*(2*f + 0 + 0) - 5 + 2*f + 5).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11341200 rounded to the nearest 100000?\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -70*f + 1966. Let w be l(28). Let y(q) = q**2 - 9*q + 4. Calculate y(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -4\/333, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7858 + 3115618060?\nAnswer: 3115618056.2142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 232493 + 6*r**3 - 232493.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 - -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 74120 (base 9) to base 12\nAnswer: 243a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r + 3*b + 4, -r + 2 = -2*b. Suppose 3*q + r*q - 6 = 0. Sort 4, -3, -2, q in ascending order.\nAnswer: -3, -2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 125a6a4 + 2?\nAnswer: 125a6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3570970 is divided by 3570952?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 225*a - 340 - 288 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 29*w - 8. Let q be o(14). Let n(r) = 3*r**2 + 16*r - 18. Let t(y) = -2*y**2 - 8*y + 8. Let h(a) = -3*n(a) - 5*t(a). What is h(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-75))\/((-20)\/(-15)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 6 = 0. Suppose -s*b + 3 = -9. Let a = -8 - -13. Which is bigger: b or a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 4*d**5 + 0*d - 4*d**2 - 2\/3*d**6 - 9*d**4 + 54 + 28\/3*d**3. Find q such that f(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 23, 34, 35, 14, -41, -142, -301, -530?\n\"Answer: -2*c**3 + 7*c**2 + 4*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 = 2\/3425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/18 of a day?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/2*4\/2. Suppose 4*m - 10 = 2*o - 34, 4*m - 60 = -5*o. Solve -2*z - o = -x*r + 2, -24 = -2*r + 5*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 628.04 from -1.34.\nAnswer: -629.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10350 - -76.\nAnswer: 10426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -9*u - 33, -3*g - 25 = -5*u + 10 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -84457, -168907, -253343, -337759, -422149, -506507?\nAnswer: -590827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 56*d**2 + 24*d - 4. Is h(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5e38 + -8?\nAnswer: -5e40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 110 = -7*h. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, i: 5, w: 3, y: 5}. Give prob of picking 2 i and 1 z.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -25*k**2 - 347*k - 890. Give a(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/(8*5\/720).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 0*j - 9 = 5*j, -5*a - 3*j + 15 = 0. Let w(t) = -t - 5. Let b be w(-6). Put b, a, -5 in descending order.\nAnswer: a, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.1 (c) 10\/7 (d) -86\/5 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 17 - (-236 + 250).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -11 - -14) + 7 - (0 - -27)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*l**2 + 89*l - 89*l.\nAnswer: 95*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 8:06 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/((-1)\/(-12)*(-94)\/282).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((3\/(-6))\/((-2)\/8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 21 = -5*t, 19 - 1 = 4*d - 2*t. Calculate the greatest common divisor of 32 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.4 (b) -5 (c) -22790 (d) 5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1633, 1622, 1595, 1546, 1469?\nAnswer: 1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*m + 36, 16 = 4*m - 0*m. Let w = -217 - -220. Suppose 12 = w*l + l. Put l, -2, a in ascending order.\nAnswer: a, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c + 5*b + 37, 0 = -2*c + 5*b + 13. Let t be c*((-16)\/42)\/4. Sort t, 3, 9.\nAnswer: t, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -2 in decreasing order.\nAnswer: 13, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11 + 8 - 98*n.\nAnswer: -98*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1171*o = 48733 - 12432 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -36. Let l be (4\/(-4) - 0)*1. Let f = w - l. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70695, 280753, 630849, 1120983, 1751155, 2521365?\n\"Answer: 70019*x**2 + x + 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717 is divided by 99.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -75802, -303241, -682310, -1213009, -1895338, -2729297, -3714886?\n\"Answer: -75815*i**2 + 6*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 2, b: 4, d: 5, e: 1, p: 1}. Give prob of sequence yp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 258 - 254. Differentiate -7*q**4 - 6*q**4 - 8*q**i + 78 - 8*q**4 with respect to q.\nAnswer: -116*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1207\/8 + 2029007\/13448. Is d < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 5*j + 8. Calculate l(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((184\/(-207))\/8)\/(1\/3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 38*y**2 - 1138*y - 68. Give d(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 78 - 83 + 0*d - 17*d.\nAnswer: -17*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 - (-804)\/10. Let j be (-2)\/12 + (-171)\/(-324)*114. What is the highest common factor of j and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3388) + 1 + 1 + sqrt(3388) + (-3 + sqrt(3388))*-1 + -4)*6)**2 + -2.\nAnswer: 1584*sqrt(7) + 122002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376969 to the power of 1\/2, to the nearest integer?\nAnswer: 1173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29229 take away 2?\nAnswer: 29227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 65030\/537 or 120?\nAnswer: 65030\/537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i = -175*i + 44695314. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 283106.\nAnswer: 1415530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/2 - (15\/6 + -9). Let s(v) = 2*v**2 - v + 1. Suppose 5*o - 6 + 1 = 0. Let a be s(o). Put 4, h, a in increasing order.\nAnswer: a, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 590010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -5*p + 70, t - 96 = -2*t - 3*p. Suppose 0*n = 4*n - 240. Suppose -h = 3*j - n, h - t = 5*j + 30. Is 10 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -20. Suppose 244 = 4*o - 2*v, -o = 4*v - m - 40. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11097, 11092, 11085, 11076, 11065, 11052?\nAnswer: 11037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 450 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w = -80*w - 4*b + 3, 2*b = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 143\/(-1265) + (-4)\/46. Let x = -116 - -116.3. Which is the third smallest value? (a) -0.3 (b) -1\/2 (c) s (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-204)\/(-255))\/((-19)\/10*-4)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 8. Let l be n(-9). Let y be 3\/l + 7\/(-3). Let v = 0.06 - 0.46. What is the closest to 0 in y, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 10) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 26.3.\nAnswer: 10.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23683845 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**3\/3 - 9*d**2\/2 - 3*d - 2. Suppose -59*c - 4 = -58*c. What is h(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y. Let b be o(6). Suppose g + m + 1 = 0, -b + 23 = g - 5*m. Factor 6*t**3 + 4*t**2 + 2*t**3 - 8 + 2*t**g + 2*t**4 - 8*t.\nAnswer: 2*(t - 1)*(t + 1)*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27619*m - 54212*m + 26591*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(20\/7)*h*h**24*h assuming h is positive.\nAnswer: h**(202\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 8, 5 in decreasing order.\nAnswer: 8, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1895 divided by -83\nAnswer: 1895\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*l - 169 + 163 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - -1.6. Let t be (((-2)\/6)\/(6\/18))\/(-4). What is the closest to -0.1 in -2, y, t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84197 < 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 7, t: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*u**2 + 1092427*q*u - 1198*u**2 + 20*u + 17 wrt q.\nAnswer: -3*u**2 + 1092427*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x - 2*x**3 + x**2 - x**3 - 6*x**2 + 4*x**3 - 5. Let v(h) = -8*h - 75. Let d be v(-10). Calculate t(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**3 + t**2 + 6*t. Let z(x) = -20*x**3 - 3*x**2 - 17*x. Let s(y) = 17*q(y) + 6*z(y). Let k(c) = -2*c**3 - 3*c**2 + 3*c. Give -k(l) + 3*s(l).\nAnswer: -l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(9\/2))\/y**18)\/(y**(-3))**(-2\/11) assuming y is positive.\nAnswer: y**(-265\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*2 + sqrt(70) + sqrt(70))*-1 + sqrt(70) + sqrt(70))\/sqrt(10).\nAnswer: -3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/(18\/6)*((-135)\/15)\/9?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/6 in 0.4, 1\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79 + 93. Suppose -205 = 13*k - x*k. What are the prime factors of k?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**2 - 10*y + 1. Let x be v(2). Let q = x - -78. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1220*d + 270. Let f(g) = 76*g + 17. Determine -95*f(p) + 6*h(p).\nAnswer: 100*p + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*-3 + (-393388464)\/(-399) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -5*i**2 - 22. Let k(d) = -14*d**2 - 67. What is 4*k(g) - 11*q(g)?\nAnswer: -g**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**4 - 6*c + 17. Let i(p) = 5*p**4 + 13*p - 35. Let q(o) = 6*i(o) + 13*l(o). Differentiate q(a) wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12224333 (base 5) to base 3\nAnswer: 12222010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7 - 3 + 14*k + 10. Let a(d) = -2*d. Determine a(v(l)).\nAnswer: -28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 25 = 30 - 65 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65024, -65013, -64988, -64943, -64872, -64769, -64628?\nAnswer: -64443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -3\/5, 0.412 in descending order.\nAnswer: 0.412, 0, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1046, 2, 5 in decreasing order.\nAnswer: 5, 4, 2, -1046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -3*h - 916, y + 1261 + 295 = -5*h. Let k = h - -343. Calculate the remainder when k is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 621, 944, 1273?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19865246 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: b\"What is the tth term of -2219, -4445, -6675, -8909, -11147, -13389, -15635?\n\"Answer: -2*t**2 - 2220*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -24*z - 511. Let x be h(-22). Solve -3*l = -b - 4*b + x, -4*b = l - 17 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 695330 and 695346 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 17 + 14 + 39*y - 34*y - 15. Let v be n(4). Suppose 4*p - 2*p = -f + v, -5*p + 84 = f. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83 + 89. Let a(s) be the first derivative of 1 + 0*s + 3\/5*s**4 + 1\/10*s**y - 2\/5*s**3 - 2\/5*s**5 + 1\/10*s**2. What is t in a(t) = 0?\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1\/3, -51, 4?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(252)*2)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 64081 and 3?\nAnswer: 192243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaa when three letters picked without replacement from {v: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 3 + 1 - 14*w**2.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/b**(-2))\/b*b\/((b\/(b*b**(6\/7)\/b))\/b)*b*b)\/(b**(2\/11))**33)**(-23) assuming b is positive.\nAnswer: b**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*i**2 + 89*i**4 + 56*i - 199*i**4 - 2*i**3 + 114*i**4 to a*i + b*i**3 + n*i**4 + y*i**2 + p and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 5.7. Let x = -45 + 48. Which is the nearest to 1? (a) j (b) 3\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - (-12)\/9)*57. Suppose -g = -m - 3, -q = -5*g + 1. Is m\/(-4) - (-51)\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*v - 24. Suppose 2*j = k + 14, -v*k - 10 = 2*j + k. Factor j*z - 192 + 3*z**3 + 139*z - 20*z**2 - 16*z**2.\nAnswer: 3*(z - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -78\/5 smaller than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a centimeter?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 204 + -1301\/6. What is the common denominator of c and (-40)\/112*2\/(-10)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - 48. Let d = 87 + l. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5044 - 2090. Suppose -2*n - 2804 = -4*r + 3104, 2*r + n = f. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38252*k**5 - 2*k**4 + 2*k**3 + 842230*k**2 - k + 1?\nAnswer: 2295120*k**2 - 48*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/9))**(-36\/7)\/((f\/(f\/(f*f**(4\/13)*f)*f))\/(((f*f**(1\/3))\/f)\/f)) assuming f is positive.\nAnswer: f**(-2255\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3731802 + -0.2?\nAnswer: -3731802.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b**2 + 8*b - 2. Let y = -97 + 112. Let g(x) = -14*x**2 + 16*x - 5. Let w(s) = y*n(s) - 6*g(s). What is the second derivative of w(k) wrt k?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - (-253)\/132)\/(5\/8). What is the second smallest value in -4\/15, b, 5\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-33 - -45) + (6 - (-4 + 0)) - -5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 2\/3, 0.27, -2\/11, -34, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2370)\/(-711)*((-43)\/105 - 2\/(-3))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1122, 2256, 3390, 4524?\nAnswer: 5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (13 - 10) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*p - 14 = -2*t, -3*p = -2*t + 16. Let s be 84\/4 - (0 + -3). Solve t*g = -g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115500 or 115501?\nAnswer: 115501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 22 + -12 + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2642, 2643, 2644, 2645?\nAnswer: 2646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285 and 166478?\nAnswer: 2497170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -12.3979?\nAnswer: 86.7853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.08 from -3.\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*g - 40, -8*h + 6*h + 7*g = -53 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:50 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 132524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 34. Let x be j\/4 - (-10)\/20. Solve 0 = -x*s + 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - o - 23 = 0, -44*q + 43*q - 2*o + 9 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(-2*v + 0*v + 3*v)*(3 + 0 - 2 - 2 - 2 + 6 + (-1 + 0 + 2)*(3 - 3 + 1) - 3 + 1 + 0) + 3*v - 21*v - 56*v.\nAnswer: -76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4102 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 8:50 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 3*o**2 + 8*o + 6. Let f be l(5). Let t be (9\/6)\/(2\/4). Which is the third smallest value? (a) t (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8)\/(m\/(m*m\/m**(-7))))**(2\/19) assuming m is positive.\nAnswer: m**(67\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 189 = -5*u + 2*z, 2*z + 42 = -u. What is the common denominator of u and 36\/(-10) - (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*x - 15. What is the remainder when 4 is divided by 12\/27*x\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3592579*q + 2591610.\nAnswer: -3592579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2405646 < 2405646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 + 205 + 28*k - 60 - 73.\nAnswer: 28*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4689.705 decades to millennia.\nAnswer: 46.89705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1411, 5665, 12757, 22687, 35455?\nAnswer: 51061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121122121 (base 3) in base 8?\nAnswer: -76116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + v - 114, 0 = 3*z - 4*v + 3*v + 86. Let c = z + 42. Is (24\/c)\/(4\/28) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 62. Let w be (-278)\/k*(-11 + 4). Let d = w + -123. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000775570572 rounded to seven decimal places?\nAnswer: -0.0000776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1855754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.55 * -0.1.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-15) - 184\/(-3). Let a = 30 - f. Is ((-6)\/(-4))\/((-3)\/a) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24108)\/(-9184)*12\/(-7)*132\/(-27).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -42*i**2 - 27*i - 36. Let m(v) = -41*v**2 - 29*v - 23. Determine -3*m(l) + 2*w(l).\nAnswer: 39*l**2 + 33*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 6 = 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 a, 1 r, and 1 q when four letters picked without replacement from qqmrmmmmammmmrqmrrm.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.02754 - -0.02754. Let k = -3.5 - -3.2. Which is the closest to -2\/7? (a) k (b) 31 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -d - 2, 26*d + 23*r + 84 = 22*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 0.1 (c) -5 (d) -13 (e) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000245043 to 7 dps.\nAnswer: 0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = 5*r + 5*h, 14 = 4*r - h. Differentiate 6*x**4 - 8 + 5 - r*x**4 wrt x.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3896610 - 0.033275?\nAnswer: 3896609.966725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 1128?\nAnswer: -1\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136\/3 - -46. Which is the third biggest value? (a) -2\/13 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11*33\/121*(7\/(-354)*50 + 1)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -253 * 0.9.\nAnswer: -227.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -170\/7*a - 62\/7*a**3 - 2\/7*a**4 - 174\/7*a**2 - 8.\nAnswer: -2*(a + 1)**3*(a + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -165? (a) 76 (b) -3 (c) 0.1566\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2568126 < -2568127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1311305 + -2?\nAnswer: -1311311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.1206 or -1\/4?\nAnswer: -15.1206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 - ((-12)\/3)\/(-2). Calculate the highest common divisor of a and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + 2*y**2 + 3*y + 1. Let l be v(-1). Sort l, -4, -24.\nAnswer: -24, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.18, -19, -20\/7, -757?\nAnswer: -757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2257, 4621, 7005, 9409, 11833, 14277?\n\"Answer: 10*k**2 + 2334*k - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u + 7. Let p(c) = -6*c - 6. Let s(w) = -5*h(w) - 6*p(w). What is s(-4)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) 2\/17 (b) 11\/135 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 2*n = -2*b + 3*n + 7*n + 304, 0 = 26*b - n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2*(0 - -8). Suppose 0 = -c + v, 5*c = 3*r - 4218 - 4495. Suppose -g - 73089 - r = 0. Round g to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**5 + 252*h**4 + 495*h**3 + 246*h**2 = 0.\nAnswer: -82, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -1. Let k(m) = 2*m**2 - 3. Calculate -5*k(b) + 15*w(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9 - 5)*(2*x**3 - 2*x + 2*x)*(x + 0*x + x).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27294 - 3*j**2 + 0*j + 0*j + 27294.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/54*(-856)\/11984*-513.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (42\/5)\/((-122)\/305). Let a be (-57)\/x + 4\/14. Solve -9 = 6*m - a*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in centuries?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 16038.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1890.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 22 = -k + 2, -4*n + k = -16. Suppose 410 = n*d - 2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9\/(g\/g**0))**(27\/4) assuming g is positive.\nAnswer: g**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-180)\/585)\/((-10)\/(-65))*410\/(-20)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k - 1. Let v be 20\/(-15)*(-12)\/4. Suppose -4*w + 24 + v = 0. Let d(j) = -5*j + 1. What is w*d(r) + 4*t(r)?\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 11, -15, -73, -175, -333, -559, -865, -1263?\n\"Answer: -2*a**3 - 4*a**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -275, -676, -1309, -2174?\n\"Answer: -116*t**2 - 53*t - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 202685*o**3 + 46328*o**2 - 23164*o + 23164. Let w(i) = -9*i**3 - 2*i**2 + i - 1. Determine l(a) + 23164*w(a).\nAnswer: -5791*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 106*q**2 - 36*q + 16. Let c(p) = -21*p**2 + 7*p - 3. Let n(s) = -16*c(s) - 3*f(s). Find the second derivative of n(j) wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4 - 252*h**3 + 7680*h**2 + 16384*h.\nAnswer: 2*h*(h - 64)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/5)\/(s\/((s**(-1\/2)*s)\/s)))\/(s**(3\/2)*s**(-4)) assuming s is positive.\nAnswer: s**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 - 125. What is f rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 852 = -29*r - 81*r - 103*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3005*n**6*r**2 + 2519*n**2*r**2 wrt n.\nAnswer: -360600*n**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 0*v)*(-2 + 3 + 1) + 4*v - 1 - 1 + 1.\nAnswer: 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-318)\/(-30) - (-3)\/(-5). Let w be l*(12\/8)\/1. What is the second derivative of -8*f**5 + w*f + 61 - 61 wrt f?\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l**4 - 3*l + 3*l)*(-10*l + l + l) + 95 + 22*l**5 - 95.\nAnswer: -74*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 30*c**3 + 131*c + 4. Let o(h) = -59*h**3 - 262*h - 9. Let d(y) = -4*o(y) - 9*r(y). What is the second derivative of d(a) wrt a?\nAnswer: -204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -569*y**2*z**3 - 4*y**2*z**2 - z**2 + 1 wrt z.\nAnswer: -3414*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 6*t + 25. Let h = 15 - t. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/704569934 or -1?\nAnswer: -3\/704569934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9.263, 0.5, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + z**2 - 5 + (z + 3*z - 3*z)*(z - z + z) + z**2 + 4*z**2 + 13*z**2 - 7*z**2 + 3*z**2 + z**2 as g*z**2 + p + q*z and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 10 = -5*m. Let h = m + -7. Let x = -14 - -47. What is the greatest common factor of x and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 102517*c**4 + 717620*c**3 - 1845299*c**2 - 18*c = 0.\nAnswer: -9, -1\/102517, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3895 times -6.39\nAnswer: -24889.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18183410?\nAnswer: 2, 5, 7, 43, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*b - 51*b + 12*b**3 + 23*b**3 + 24*b + 56*b**3.\nAnswer: 91*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55284 + 377015. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 45104651?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v - 9. Let z be u(-5). Suppose -31 = -5*d + 2*g, 0 = -3*d + g + 11 + 8. Let s = z + d. Solve 4*n = 2*a + 4, -2*a + s*n - 5 + 3 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 12*h + 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a = 0. Suppose a = -4*o + 4 + 4. Is 6 a factor of (-2)\/(o\/(-1)) - -15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -58\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 4390 = 7918. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/42)\/1 - (-8)\/(-12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {j: 1, s: 1, f: 1, o: 8, r: 2, n: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(152)\/(sqrt(96)\/(sqrt(48)\/sqrt(4))) + (2*(sqrt(228) - sqrt(57)))\/((sqrt(24)*1)\/sqrt(8)).\nAnswer: 7 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30600 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 279 = -c, -c = -2*v - 790 + 217. Let q be -1 - -4 - (-210)\/14. Does 10 divide v\/(-14) - (q\/14 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 2*u - 1180 + 1190)*(-3 + 1 - 1 + (-4 + 2 + 0)*(-1 - 1 + 1) - 21 + 5 + 10).\nAnswer: -14*u - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(42)\/sqrt(3))*4 + 4*sqrt(56)\/sqrt(4))\/(-2*(sqrt(2) + (sqrt(288) - (sqrt(288) + (sqrt(288) + sqrt(288)*-2 - sqrt(288)) + sqrt(288))))).\nAnswer: -2*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-162)\/(-18)*3\/54*26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21.1845 + 1359\nAnswer: 1380.1845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(16) + -1*(sqrt(256) + sqrt(16) + sqrt(16)))\/(sqrt(32)*2))**2.\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 1\/4 (c) 1 (d) -0.5 (e) 2\/35 (f) 3020\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-2)\/(-5) - 134\/360). What is the greatest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 452 + -445. What is the tens digit of 8\/56 + 5599\/g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4 - 5862*y**3 - 92721*y**2 + 586962*y - 488376 = 0. What is y?\nAnswer: -1938, -21, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(-3*f + 2*f - f)*(-2 + 2 + 4*f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32895 and 430?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:43 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 3*x**2 - 2*x. Let a(b) = 2*b**2 - b + 2. Let l be a(-4). Let t = 26 - l. Let g(v) = v**3 + 12*v**2 + v + 14. Let o be g(t). Determine k(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - sqrt(27)) + -4 + sqrt(3) - ((sqrt(6)\/sqrt(2))**2 + 4).\nAnswer: -11 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 106385551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8911750?\nAnswer: 2, 5, 43, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 44 = -73. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 2313?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 125. Let l(i) = -75334*i**2 + 75336*i**2 - 8 + 8. Give l(f(u)).\nAnswer: 18*u**4 - 1500*u**2 + 31250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-520)\/195\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 128 and 1600416.\nAnswer: 6401664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 97410000 to the nearest one million.\nAnswer: 97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 7 + g + g + (4*g + 2*g - 4*g)*(-4 - 1 + 4) - 2*g + g - 5*g.\nAnswer: -6*g - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 526.99999468 - 527. Round l to seven dps.\nAnswer: -0.0000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + s. Let d(h) = 5*h**3 + 20*h**2 - 20*h. Let y = -16666 + 16686. Let o be (2\/4)\/(4\/8). Determine o*d(m) + y*i(m).\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -7. Suppose 5*t = 4*f + 3*t - 24, 3*f = -4*t + 7. Suppose 5*k - 4*k = f. Sort 3, k, s in descending order.\nAnswer: k, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-6)*6\/(-4). Suppose 4*r - q - 6 = 0, 5*q + g = r - 9. Let u be (-1)\/5 - 872\/(-3960). Which is bigger: r or u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 838?\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 4*t - 14826, 5*w + 5*t - 9314 - 15396 = 0. List the prime factors of w.\nAnswer: 2, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -780000 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/591 in 0, 526, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10451066 and -19245?\nAnswer: 10470311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 200.2 - 199.7. Suppose -4*p + 3*p = 0. Suppose g + 11 = -p*g + 5*r, -5*g - 5*r = -35. Which is the second smallest value? (a) z (b) 7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -7. Put h, -4, -0.1 in decreasing order.\nAnswer: -0.1, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 150 - 34*f**4 - 150 + (-5 + 5 - 2*f)*(1 - 1 + 2*f**3) to d*f**3 + p*f**4 + y + s*f + h*f**2 and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from wdxwddwwwywdx?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-30)\/(-5))*-10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -79, -104, -163, -268, -431?\n\"Answer: -2*c**3 + c**2 + 8*c - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 + (67 + -88 - 50).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1756516359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/457374 and 87\/59768.\nAnswer: 440908536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/153 and (-27 + 31 + (-271)\/68)*(1 - -81).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*p - 12*p. Which is the closest to 0.1? (a) p (b) 0.2 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 222\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -41, -13, 51, 163?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwowwwwdwoovdowop. Give prob of sequence do.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*z = 2*c + 5, 0 = c - 5*z - 29. Let v be 16\/(-12)*c\/(-24). Let w = 6 - 4. Is w equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46875*w**3 + 261608250*w**2 - 365007341163*w.\nAnswer: -3*w*(125*w - 348811)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 2*f + 73 - 108.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 7. Let r be ((-25)\/(-10))\/((-2)\/4). Let x be h(r). Let u(o) = 3*o - 18. Is 7 a factor of u(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 8*g - 5*g. Suppose -1870000 = 3*t - g*t. What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156)*4 + sqrt(156)))*2 + sqrt(156) + (1*sqrt(156) - sqrt(156))*-2)\/((sqrt(144) - (sqrt(144) + 1*sqrt(144))*2)\/(sqrt(12)*-1*2)).\nAnswer: -14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664100.\nAnswer: 2, 5, 29, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -6b?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886 = 169*p - 3846 for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -1.3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2 (b) -3 (c) 2 (d) -0.31 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 612 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -253837.5 + 4?\nAnswer: -253833.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 12:41 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 0. Let j = 19.12 - 30.72. Let s = j + c. Sort -0.3, s, 0.2, 1 in descending order.\nAnswer: 1, s, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:49 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g + 3\/2*g**2 + 0*g**3 + 4 - 1\/2*g**4. Let t be w(-2). What is the greatest common factor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3625499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from xxvvawwaoxaoxxxaaxx?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - -9b162?\nAnswer: 9b165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 2*k + 27366, 22*k - 13522 = -2*r - 0*r. Does 110 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26765 - -125070. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - (4 + -4)) + 23877\/8477. Let c = -7\/173 - r. Sort -0.07, 0.4, c.\nAnswer: c, -0.07, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5725427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 49816463*g. Let h(y) = -2*y. Calculate c(h(u)).\nAnswer: 20*u**2 + 99632926*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Suppose -638 = 6*n - 704. Put n, s, -4 in decreasing order.\nAnswer: n, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:26 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 214*c**2 - 6*c. Let x(v) = -107*v**2 + 4*v. Calculate 3*t(q) + 5*x(q).\nAnswer: 107*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 15*m**2 + 11*m**3 - 18*m**2 - m - 13*m**3 - 2*m. Let k(n) be the first derivative of -3*n**4\/4 - 4*n**3\/3 - 3*n**2\/2 + 7. Determine -4*h(d) + 3*k(d).\nAnswer: -d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 234*t**2 + 9*t + 5. Let k(c) = 118*c**2 + 4*c + 2. What is -2*d(x) + 5*k(x)?\nAnswer: 122*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/(-6)*3*1. Suppose 3*l + 3 = j*l. Calculate the remainder when (-27)\/63 - 29*(-51)\/119 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*2\/(-28)*3.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -957\/7 - -137. Let x = 2 + 0. Let q = 2 - x. Which is the nearest to 0? (a) q (b) h (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 34*s**2 + 389*s + 33. List the prime factors of q(-22).\nAnswer: 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 5 (c) 17942\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 5*g - 4*g + 9*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1225*n + 627819. Calculate d(-513).\nAnswer: -606","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 126\/(-3) + 2 + -5. Let r = 24 + l. Let i be 12\/66 + r\/55. Which is the second smallest value? (a) -1 (b) i (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*s + 328*s + 293*s.\nAnswer: 373*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -4. Let l(q) = -899*q. Let d be l(n). Let m = 8798 - d. Round m to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31 in 54, 0.15, 5\/26, 4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*1\/(24\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 13274*n + 1274305. What is w(-96)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 9*u + 178. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31019, -64548, -98077, -131606?\nAnswer: -165135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/(-4))\/(45\/(-324)))\/(15\/300)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2240, 1775, 590, -1675, -5380, -10885, -18550, -28735?\n\"Answer: -60*d**3 - 45*d + 2345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o - 5. Suppose -2*v + 16 = -4*k, 5*k - 3*k + 28 = 3*v. Let p = -14 + v. Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h - 17. Let m be (2\/(16\/(-12)))\/(6\/(-16)). Let o be g(m). Factor 1\/3*w**4 + 0 - 1\/3*w**o - 1\/3*w**2 + 1\/3*w.\nAnswer: w*(w - 1)**2*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z**2 + 6. Let m(w) = 14*w**2 - 17. Let a(r) = 11*f(r) + 4*m(r). List the prime factors of a(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 8*x**2 + 6*x - 4. Let d = -18 + 11. What is the units digit of r(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19690\/3 + -13171\/2. Let h = 34\/3 + -341\/30. What is the common denominator of i and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 1, g: 3, r: 5, q: 1, a: 1}. What is prob of sequence bo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1778107735 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110101001100001 - -11001?\nAnswer: 1110101001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -14*b + 448. What is the remainder when b is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002021 (base 3) to base 7.\nAnswer: 2206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 2)\/(4\/10). Let d(o) = 17*o**2 - o + 3. Let z(b) = -26*b**2 + 2*b - 5. Let a(q) = t*z(q) - 8*d(q). What is a(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5\/3*t**4 - 49\/3*t**2 + 8\/3*t + 3*t**3 + 20 - 1\/3*t**5 = 0.\nAnswer: -3, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -785, -1765, -3137, -4901?\nAnswer: -7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x - 7*x + 2*z = -7, x + 3*z + 9 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4814 and 49385?\nAnswer: 2864330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13743*h**2*p**3 + 2954*h**2 - 648*h*p**2 + 6*h*p - 2*h + 14*p**3 - 3*p**2 + 2 wrt h?\nAnswer: -27486*p**3 + 5908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 32979 - 33063 = -42*v, -2 = -v + 2*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 10:42 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 133736 at most 1471110\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532192?\nAnswer: 2, 16631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*x - 19, -5*h + 5*x - 5 = 8*x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -16*m**3\/3 + 11*m**2\/2 - 14*m. List the prime factors of s(-3).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34181, 58185, 82189, 106193?\nAnswer: 130197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.6 in 0.4, -2, -1, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r + r**2 - 2*r + (-14*r - 4 + 9*r + 7*r)*(r + 3*r - 2*r).\nAnswer: 5*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 467405316 a multiple of 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -efd11 (base 16) to base 14.\nAnswer: -1b7d97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -162431738 rounded to the nearest 10000?\nAnswer: -162430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44729 + -24128. Is 155 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 3*b**2 + 4*b. Suppose 0 = t, t + 12 = 3*i - 3*t. Suppose -o = -i*o + 12. Calculate x(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -i + 6. Let y(d) = 11*d + 1. Let a(m) = -6*m - 1. Let p(z) = 5*a(z) + 3*y(z). Give p(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 250*j**2 - 50*j + 5. Let c(s) = -84*s**2 + 19*s - 2. Give 8*c(p) + 3*o(p).\nAnswer: 78*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7095, 0.2, -0.3 in descending order.\nAnswer: 0.2, -2\/7095, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 700005684 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 51 (c) 3 (d) 4\/7 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8913\/4 - -2228. Which is the nearest to 0.1? (a) 2\/3 (b) -20 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 1)*(-3*x**2 + x**2 - x**2)*(-x**3 + 4*x**2 - 4*x**2).\nAnswer: -12*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 1)*(3 - 3 + 2*n**2) + 3 - 3 - 2*n**2 + (-n - 3 + 3)*(0*n + 0*n - 2*n) + 2 - 2 + n**2 + 3*n - 3*n + n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43595 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18\/13 + 2\/13*l**4 + 8\/13*l**3 - 24\/13*l - 4\/13*l**2.\nAnswer: 2*(l - 1)**2*(l + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4694*k**2 + 6270*k**2 - 2826*k**2 to x*k + g + q*k**2 and give q.\nAnswer: -1250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -60491.\nAnswer: -24\/60491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m**2 + 18*m + 7. Determine c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 202, 370, 518, 646, 754, 842, 910?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.92 * 372473.\nAnswer: -342675.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**4\/4 - 13*i**3\/3 + i**2\/2 + 10*i - 32. Let f be n(-13). Is -2*f\/6*1822 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 1\/2, -2\/3.\nAnswer: -3, -2, -2\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -dd6?\nAnswer: -ded","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -0.05, -1\/3, -78582, 0.6 in ascending order.\nAnswer: -78582, -1\/3, -0.05, 0.6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*l - 66*l - 53*l + 185*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 3 + 24*a**2 + 49*a**2 + 2*a**2 to the form l*a**3 + t*a + b + r*a**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*m - 5*r - 42, 4*r = -3*m + 47. Let l = -9 + m. Suppose i + t + 4 = 2*i, -4*t = 3*i - 19. Solve -l*p + 8 - 19 = n, -3*p - 37 = -i*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3176780?\nAnswer: 2, 5, 193, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -383 - -439.7. Let t = -57 + r. What is the smallest value in 5, -3\/4, t?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 + 6387360*p**2 + 12774705*p + 6387350 = 0 for p.\nAnswer: -1277470, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2102310203 (base 4) to base 11\nAnswer: 380909","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1118751810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 33*n + 31*n = 10788, -4*d + 10788 = 3*n. List the prime factors of d.\nAnswer: 3, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by -11.\nAnswer: 28\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 1\/5, 0.3, -5, 2.05, -75 in decreasing order.\nAnswer: 2.05, 0.3, 1\/5, 1\/7, -5, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5927, -5931, -5929, -5921?\n\"Answer: 3*l**2 - 13*l - 5917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 487*w - 6.\nAnswer: 487*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*h + 227*h = 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 11 + -2 + 3. Let s(m) = -6*m - 6. Let b(n) = -4*n + 6. Let r(j) = j - 1. Let f(x) = -b(x) - 5*r(x). Give g*f(w) - 2*s(w).\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 - 159*j**2 + j + 6342. Determine h(-79).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-4 - 7\/((-126)\/258)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -92 (b) -716 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**3\/3 + 7*p**2\/2 + 5*p + 2. What are the prime factors of r(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 316, 315, 314, 313, 312?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23639.\nAnswer: 7, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -10. Let v be 1 + 2\/(-6) + (-14)\/b. Let x be (26\/(-65))\/(14\/30). Sort 0.1, v, x.\nAnswer: x, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209023393637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46)\/44 + (-2)\/(-4). Let j = -9 + 6. Let f = 3548.5 - 3548. What is the nearest to -0.1 in f, x, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15650447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.59924 - 0.01376. Round h to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*((-21)\/(-5) - 3). Let t(u) = u**3 - 6*u**2 - u + 7. Let f be t(h). Find the common denominator of (f + (-108)\/21)\/1 and 1\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 15*q**2 - 12*q - 32. Let w(g) = 7*g - 217. Let i be w(33). Give m(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 862237, 862238, 862239, 862240, 862241, 862242?\nAnswer: 862243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**5\/8 - 3*u**4\/2 - 9*u**3\/8 - u**2\/4 = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 4*d + 0*d)*(0 - 1 - 1) - 11*d - 13*d + d as m + x*d and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 5) to base 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13637502 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -7*o**5\/60 + o**4\/24 - o**2. Let f be 1 + 20\/(-2) - 0. Let x = -10 - f. Calculate r(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from {j: 4, n: 7}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60139\/7 - 8577. Let y = -5 - -20. Is y >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, w: 1, y: 2, d: 11, b: 3}. What is prob of sequence ddwx?\nAnswer: 11\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3688*h + 3651*h = 222 + 592 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 divided by -2792.\nAnswer: -57\/2792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -611*m**4 - 42*m**3 + 81975*m**2 wrt m.\nAnswer: -14664*m - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eh when two letters picked without replacement from {c: 1, h: 1, e: 3, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 188*o + 1092. Let i be d(-6). Solve -5 = -m + w, 4*m - 15 = 3*w - i*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 - 1)*(7*v - 2*v - 3*v) - 9 - 13*v + 9.\nAnswer: -23*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 417 divided by 19707\nAnswer: 139\/6569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1691*l - 22 = 1702*l. What is the closest to 13 in -3\/5, l, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 3*j + 3491. Is x(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.5 (b) 0.4 (c) 12 (d) -140 (e) 0 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/5 - 5\/2. Let l(s) be the second derivative of -5\/3*s**3 + 0 - 1\/15*s**6 + g*s**5 + 2*s**2 + 2*s + 1\/2*s**4. Suppose l(m) = 0. Calculate m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -2*u + 6. Let l = -85.6414 - -85.6414. Put -0.1, 3\/2, u, l in decreasing order.\nAnswer: u, 3\/2, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 296 + -297. Which is the nearest to 0? (a) j (b) 3 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 928783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-12) + 17\/4. Suppose -4*b + 25 = m, -13*b - 2*m = -16*b + 16. Sort 4, h, b in descending order.\nAnswer: b, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 3.4. Let c = k + -0.3. Let v = 9 - 8.9. Put 0, c, v in descending order.\nAnswer: c, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 800 and 480.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Is 88\/24*138\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1010712*n**3 - 111934*n**2 - 19?\nAnswer: -6064272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(128) - (0 + sqrt(128)))*-3 + sqrt(128) - ((2 + sqrt(128))*2 - sqrt(128))))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/5, 4, 218\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -170, -167, -164, -161, -158, -155?\n\"Answer: 3*q - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 3*w**2 - 6*w + 6. Let z be b(4). Let a(t) = t - 6. Let d be a(7). Let p be (-1 - 14)*(-5)\/(-45)*3. Sort d, z, p.\nAnswer: p, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903564787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -31, -3, 1, 0.\nAnswer: -31, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1241108 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-3\/4)*b**(-5)\/b)\/(b**(-1\/3)\/b)**(5\/3) assuming b is positive.\nAnswer: b**(-73\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 8. Let n(o) = 2*o**3 + 8*o**2 - 3*o - 4. Let f be n(-4). Suppose -6 = f*k - 62. Determine g(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816461088?\nAnswer: 2, 13, 4366493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 11 - (76 - 59 - 10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3))**(7\/3)\/(p**(2\/7))**32 assuming p is positive.\nAnswer: p**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 17 - 25 = 0. Let v be c + 1\/(4\/(-16)). Let k be ((0 + v)\/((-18)\/(-6)))\/1. Solve u + 0*u = k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -45 in -0.4, 0.85, 1\/4, 0.4, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 8:47 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l. Let o(v) = 133673*v**2. Determine b(o(d)).\nAnswer: 401019*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/20 + 7*x**4\/6 - 7*x**3\/3 + 19*x**2\/2 - 11*x. What is the remainder when 7 is divided by v(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039160383?\nAnswer: 3, 7, 41, 1176601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 5. Let z(c) = 5*c**n - 4*c**2 - 2*c**2 + 3 - 4*c. Let d = 0 - 5. Give z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**17*v)\/v**(-14) assuming v is positive.\nAnswer: 1\/v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (65 - -2)\/(-16 + 17). Which is smaller: a or 135\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 85 - 15 = 0. Let q = -10 - l. Suppose 0 = 7*a - 2*a - q. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 23 + -7 + 40 + -11?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from vzzyy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5 + (-6)\/(-15) - 29388\/(-34410)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619367 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -1716, -3871, -6888?\nAnswer: -10767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4319*a - 8140*a + 241*a to the form n + v*a and give v.\nAnswer: -3580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3124229 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*h**2 + 0)*(6*h - 6*h - 20*h)*(-7*h + 0*h + h) as t + p*h**2 + x*h + i*h**4 + r*h**3 and give i.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/28 - (-3)\/21.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.302 times 0.2?\nAnswer: 7.6604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -0*w - 5. Let m(r) = r**2 - r + 3. Let u be m(w). Calculate the highest common divisor of 22 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gffffhhffihgifff. Give prob of picking 1 i, 1 h, and 2 g.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*h*w**4 + h*w**3 + 14476*h*w**2 - 241*h - 715*w**4 wrt w?\nAnswer: 4464*h*w + 6*h - 17160*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-2)*(-462)\/385. Let l(b) be the first derivative of 1\/2*b**4 + 5 - 4\/5*b**5 + 2*b**m - b**2 - 2*b. Solve l(p) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*s = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/3)\/p)\/p)**(1\/6)*p**(-1)\/(p\/(p*p**(-6))) assuming p is positive.\nAnswer: p**(-131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 1545*m**3 - 3175*m**2 + 1715*m - 85 = 0. Calculate m.\nAnswer: 17\/309, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 5. Let q be (2\/4)\/((-4)\/48). Let z(j) = 1 - 2 - 4 + 4. Calculate q*z(v) + x(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19948 to the power of 1\/2, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (110*i + 310 - 277*i - 304)*(1 + 2*i**2 - 1) as o*i**2 + h*i**3 + c + n*i and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + -2 + 2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60166 is divided by 20048?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4\/1635, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12.41 + 590.19. Let m = 578 - p. What is the biggest value in m, -3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 766779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 41 + 7. Let r = -10 + h. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 26.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -w**9\/144 + w**5\/5 + 4*w**3\/3 + 20*w**2. Let n(t) be the first derivative of b(t). Find the second derivative of n(s) wrt s.\nAnswer: -420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -541*a + 201727. Calculate s(372).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 432509 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -28*r + 397. Let v be n(14). Which is the third biggest value? (a) v (b) -1 (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 239384854.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**2 + 1084*x + 195920 = 0. Calculate x.\nAnswer: -124, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2 - 0. Suppose -u - 189 = -2*f + v*u, -5*f - 4*u = -415. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36*p**3 + 2770*p + 163947?\nAnswer: 108*p**2 + 2770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2))**(3\/14)\/((q**1\/q)\/q**(-8\/5)) assuming q is positive.\nAnswer: q**(-239\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, a: 3, g: 2, o: 2}. Give prob of sequence aowa.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 9:11 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23007.378 months to decades.\nAnswer: 191.72815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 4*l - 2212 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 695303 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 3*u**2 - 216*u - 871. Determine v(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 7*i. Let f be w(-5). Suppose 3*s - 5*s - f = 0. Sort 4, -4, s in increasing order.\nAnswer: s, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2306, -4, 5 in decreasing order.\nAnswer: 2306, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((420\/(-98))\/(-15)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z + 3*i + 67, -z - i + 15 = 0. Let r = z - 9. Suppose -r = -a - 0*a. Calculate the remainder when 9 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-1))**(-37)*j**(-10)\/(j*j**(-15)) assuming j is positive.\nAnswer: j**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + sqrt(80) + -3 + sqrt(80) + -5 + sqrt(80) - (5*(-3 + sqrt(80)) - sqrt(80)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**5 + 3*b**4\/2 - 12*b**3 - 40. What is the third derivative of s(d) wrt d?\nAnswer: 120*d + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/16 - 627\/4180?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000100001100110101001101 + -11?\nAnswer: 1000100001100110101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**3*x + 105*i**3 + 64*i**2*s + 38*i*s*x - 13*i*s + 3*i + 6*s wrt i?\nAnswer: -6*i*x + 630*i + 128*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/1*(-1)\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121836421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3325783*o - 3325798*o + 405 = 0 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/7, -2.03, -4600.\nAnswer: -4600, -2.03, -0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7416 or 51914\/7?\nAnswer: 7416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 15 = 3*t, 20 = 9*t - 5*t + 5*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -358745 plus 10370?\nAnswer: -348375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12, -111, -486, -1239, -2496, -4383, -7026?\n\"Answer: -21*b**3 + 24*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*w = -3, 4*a = 2*w + 2396299 - 2396311 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2 - 7638*u + 30504 = 0 for u.\nAnswer: 4, 2542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 8. Let c(x) = -50*x - 33. Is c(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*j + 3480 = 20*j + 52*j for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3911240, -3911234, -3911228, -3911222?\n\"Answer: 6*w - 3911246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -8. Let h = k - 10. Suppose 0 = 4*g + d - 4 + 2, 4*d + 7 = -g. What is the nearest to g in -3, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 748 and 156740.\nAnswer: 1724140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 - -5.856251\nAnswer: 6.016251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3806*b**2*h**2*u - 3*b**2*h**2 + 3*b*h*u - b*h - 2*h**2 - 393 wrt b.\nAnswer: 7612*h**2*u - 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*a - 14. Is a equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 44*o - 151. Determine x(44).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -2*b + 1 - 3\/2*b**2. Let r(u) = -7*u - 5. Determine 4*r(h) - 10*y(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/55 + 218\/(-11). Let x be h*((-1)\/(-2) + -1). Let w = x - -9. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2755 - 0.3245. Let k be (-3)\/11*4\/(-6). Let x = -8 + 8.3. Which is the third biggest value? (a) x (b) k (c) -5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16758 and 585?\nAnswer: 1089270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3537 = 4*j - 1511. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*s - 17 = 3*q + 80*s, 2*s = 3*q + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -2. Let t = 5 + r. What is the biggest value in -5, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681.776mg in nanograms?\nAnswer: 4681776000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-66)\/(-9) + -6)*27\/12. Solve 4*x - 6 = -0*x + 2*o, -9 = c*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from idhdddhdhhhhihdhhhh. What is prob of picking 1 d and 1 h?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {k: 3, p: 7, g: 2}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**2 - 6*r + 2. Let t(y) = -y - 19. Let f be t(-8). Suppose 0 = -b - 8 + 10. Let x(v) = -v + 11*v - 2 + v + 13*v**2 - b. What is f*d(a) - 6*x(a)?\nAnswer: -a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, -25, -101, -207, -343, -509?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 + 4 = 0. Let m be (2\/3)\/(8\/60). Sort 0, r, m.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 3*p**2 + 3*p**2 - 4*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*y + 33 - 14, 17 = 5*f - 2*y. Suppose 10 - 25 = -f*j. Suppose -j*a + 190 = -295. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20 - b?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -13*m + 506. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 101 + 51 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1012729.\nAnswer: 73, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/70*(3 + 4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/8 - (-5768)\/4256.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*m + 10*m - 264 = -14*m. Solve -8*r - m*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 2 - 1 - 2*b. Let m(p) = p**3 + 4*p**2 - 12*p - 2. Let c be m(-6). Calculate the remainder when a(c) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(4\/(-14) + 19422\/63). Find the common denominator of -3 + 6 + g\/(-40) and ((-2)\/(-16))\/(1\/(-69)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34460125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 6*v**2 + 3*v - 7. Let z be p(-5). Suppose 2*r - 10 = -3*w, 2*w + 4 = -3*r + 9. Suppose 3*c - c = 0. Solve d - w*d + z = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 105744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -203574*k + 30217?\nAnswer: -203574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3588 - -3587.94. Which is the third biggest value? (a) 0 (b) 2\/11 (c) y (d) -46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/95016 and -56\/732415.\nAnswer: 17577960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81049 - -80997.109. What is a rounded to one dp?\nAnswer: -51.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - ((-20 - (-12 + 8)) + 10)) + -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 75188, 75162, 75136, 75110?\n\"Answer: -26*g + 75214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 0*x**2 + 0*x**2)*(-10 - 298 - 110)*(-x + x + 6*x).\nAnswer: -2508*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**7\/42 - i**4\/12 - i**2\/2 - 7*i. Let w(t) be the first derivative of h(t). What is the second derivative of w(n) wrt n?\nAnswer: 60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 8 = 4*v, -12805 = 5*v - 7*r - 12851 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -4\/53 (c) 3\/29036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 55*q**2 + 474*q + 17. Determine n(9).\nAnswer: -901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3742565 - 4?\nAnswer: -3742571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssysyyysssr. Give prob of picking 2 s and 2 y.\nAnswer: 216\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -2060, -4761, -8542, -13403, -19344, -26365?\nAnswer: -34466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4 + 6 = 0. Which is bigger: -8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a + 69. Let x be s(0). Let g = x + 28. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 15*u**4\/4 + 10*u**2 - 41. What is the second derivative of b(s) wrt s?\nAnswer: 90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2304? (a) -1 (b) -4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 26658 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: Calculate the common denominator of 99\/50*170\/204 and 73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*t = 0, -3*i - i = t - 13. Put 3, -3, 4, i in decreasing order.\nAnswer: 4, 3, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irjjirlliriji. What is prob of sequence rri?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -422? (a) 0 (b) -0.1 (c) 1\/3 (d) -82 (e) 6\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -83611233*r**2*y + 95009885*r**2 with respect to y.\nAnswer: -83611233*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Suppose i + 6 = p*i. What is the second derivative of 44 - 44 - 6*f + f**3 - 2*f**i wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618 and 1980.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 110010?\nAnswer: -110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.097 + 0.11. Let f = 0.0130071 - w. Round f to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-3*3*-1)\/(3*sqrt(196) + sqrt(64)*-1).\nAnswer: 36*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 76, -1758, 4, -2, 0, 1 in decreasing order.\nAnswer: 76, 4, 1, 0, -2, -1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttvttvvtsvtt. Give prob of sequence st.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(5\/3)\/((s*s\/s**(-4))\/s)*(s**(-3)\/s)\/((s*s**(1\/8))\/s*s))\/((s*s*s**0)**42\/(((s\/s**2)\/s)\/s**(-1\/6))) assuming s is positive.\nAnswer: s**(-2263\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271566 - -271566.0110067. Let w = j + -0.011. What is w rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/15 + 6*y**5\/25 + 17. Factor r(j).\nAnswer: 2*j**4*(j + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a - 10 = 0. Suppose 0 = -a*c - 0*c - f + 51, 0 = 2*c + 5*f - 55. Let r = 8 + -4. Solve -2*v = r*x + v + c, v + 7 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*f = 32, 5*y - 4064*f = -4065*f - 13 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**6\/840 + h**5\/70 - 5*h**4\/56 - 23*h**3\/3 - 28. Let v(n) be the third derivative of c(n). Factor v(l).\nAnswer: 3*(l - 1)*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.05 from -5024.\nAnswer: -5024.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -7*j**6\/120 + 19*j**3\/3 + 71*j**2. Let n(d) be the first derivative of z(d). Let o(k) = -3*k**2. Determine o(n(m)).\nAnswer: -1323*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12490714 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 293 + -281. Let j = 62 + -54. Calculate the remainder when f is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10008\/(-1040) - 88\/(-40)) + (-2)\/(-4)?\nAnswer: -90\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 6*h + 5. What is b(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*d + 9, t + d - 2*d - 3 = 0. Let y(o) = -t + 2*o - 3*o + 2*o + o. Calculate y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3412800 - 0.08.\nAnswer: 3412799.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 + 33?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 s, and 2 u when four letters picked without replacement from {s: 2, u: 6, n: 10}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.915 to one dp.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 - 4*g + 4. Let h be k(-3). Which is smaller: h or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, h: 1, v: 2, w: 5, t: 1}. Give prob of picking 1 r, 1 h, and 1 t.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - 0.36. Let l = -0.2 - o. Let x = l - 0. Is x at most as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 minus -0.533261632?\nAnswer: -90.466738368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32077?\nAnswer: 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 19575.15 hours?\nAnswer: 70470540000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2252564542 a multiple of 204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10402457 (base 8) to base 7.\nAnswer: 24644102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563528 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 9) to base 6.\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 6*h**2 - 5*h - 6. Let b be y(7). Let d be b\/28 + 32\/(-14). Put -5, 2, d in decreasing order.\nAnswer: 2, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(30\/9*1))\/(54\/(-315))?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10373 = 5*w + 1660 + 448. What are the prime factors of w?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s + 3 + 20 - 6*s + 0*s. Let y be d(6). Sort 4, -3, y in decreasing order.\nAnswer: 4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*y, 4*y - 5 = -4*m + 7*m. Suppose -686 = -m*j - 51. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u. Suppose 0 = 3*o - 2*q - 16, 3*o - 4*q - 24 = -o. Let n(v) = -v - 2*v - o*v. Determine n(x(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7442 - 0.9442. Let z = -0.4 - -0.4. What is the closest to a in 26, 0.2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 10747.9 and -0.1.\nAnswer: 10747.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z**2 + 3 - 16*z**2 + 66*z**2 - 15*z**2 - 16*z**2 - 301*z - z**3 to s*z**2 + k + i*z + v*z**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 124977, 249954, 374931, 499908, 624885?\nAnswer: 749862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1923?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0, 1117?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/(-10) - -1)*-1. Let z = n + -26\/15. Factor -4\/3*p + 0 + z*p**2.\nAnswer: 2*p*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*m**(-2\/3)*m)\/(m**(-2)*m*m*m*m**(-4)*m*m)*m**7\/m**7*m**2\/(m\/(m*m**3\/m*m)) assuming m is positive.\nAnswer: m**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*s - n, -3*s - n - 24 = 2*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -7. Let c be 1\/((n + 5)\/3). Let v be 8\/c - (-3)\/9. Solve -v*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 114 = 130, -m = -x + 13. Let o(v) = -2*v**2 + 33*v + 17. Let p be o(x). Let d(y) = -y**3 + y**2 - 23. Calculate d(p).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/115374 and 64\/5159?\nAnswer: 1269114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -11*v**3 + v**2 + 60*v - 544. Let a(f) = 16*f**3 - f**2 - 84*f + 816. What is -5*a(u) - 7*w(u)?\nAnswer: -3*u**3 - 2*u**2 - 272","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7113 (base 9) to base 16\nAnswer: -144c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*((-1604)\/8 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 382? (a) 1\/3 (b) -0.36 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 31. Which is the closest to x? (a) 1\/3 (b) 1\/4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (267*v - 3119 + 3119)*(-2*v - 3 - 2 + 4).\nAnswer: -534*v**2 - 267*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0719 + -0.9281. Which is the biggest value? (a) -4 (b) -5 (c) -8 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 386553\/28 and 13806 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 530 divide 115500532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -85.2 + 95.2. What is the fourth biggest value in -2\/15, o, 2, 4\/7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 7*d**4 - 9)*(0*d + 2*d - d) - 2*d**5 + 8*d**5 + 4*d**5.\nAnswer: 17*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85255334 is divided by 3173.\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29707 and 487.\nAnswer: 29707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcmcmczrmmzzcczmmzr. Give prob of sequence rmcr.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by 3?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**2 + 1 + 5 - 3*j**2)*(-2*j - 5*j + 6*j).\nAnswer: -2*j**3 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*r**4 - 99 - 220*r**3 + 14*r**4 + 27*r - 49*r - 398*r - 566*r**2.\nAnswer: (r - 11)*(r + 1)*(5*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 10:51 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2813219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-3))\/((-1)\/(-18)). Suppose 375 + 207 = g*x. Let w = x - 93. Solve 0 = -4*c - 5*k + w, -3*c - k - 1 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12508942 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -50*n + 243. Let f be w(-10). Suppose -4*q + 4*h + f = 275, -3*h - 591 = -5*q. Is q a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -279, -555, -831, -1107, -1383?\n\"Answer: -276*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t + 4. Let r = 9 - -5. Suppose 2*p = 2*c - 4, 5*p = -c - r - 2. Let s be 0 - (0 + 0 - p). Calculate w(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b + 5. Give j(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*r - 1986 + 1890. Let q(o) = o**3 + 6*o**2 - 17*o - 19. What is q(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*t**3 + 2546*t**2 + 2884*t + 304.\nAnswer: -2*(t - 76)*(t + 1)*(17*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y + 20. What is s(42)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 - (5 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16335 and 115?\nAnswer: 375705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34, -169, -392, -703, -1102, -1589?\n\"Answer: -44*n**2 - 3*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -74 (b) 0 (c) -16 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 6 - -4) + -2 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i - 1 + i - 1. Suppose -47*a = 2*x - 43*a - 650, 0 = 2*x - a - 665. Let b(f) = 0 + 332*f + 0 - x*f. What is b(k(z))?\nAnswer: -4*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 262\/(-3)*(-51)\/(-4). Let i = -1162 - y. Find the common denominator of -25\/16 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.4 + 2.3. Suppose -3*v + 2*v = 5. Sort n, -1, v in decreasing order.\nAnswer: n, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -312110323?\nAnswer: -312110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198526 = 3752*p - 60362 for p.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -0.1, 1, 0, -7, 114.\nAnswer: -7, -3\/2, -0.1, 0, 1, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3853 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 299*b + 35. Does 69 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1300*d**3 - 469 + 383 - 296 - 4*d + d wrt d.\nAnswer: 7800*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 17, 9233, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_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: Calculate the remainder when 3757 is divided by 532.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22178182463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3324893 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s**2 + 9*s + 8. Let w(r) = 30*r**2 - 29*r - 26. Give 10*k(q) + 3*w(q).\nAnswer: -10*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1142046 or -1142019?\nAnswer: -1142019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1627*z**2 + 1627*z - 4. What is i(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14058?\nAnswer: 2, 3, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*u**3 - 475*u**3 + 341*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -871 divided by -2\nAnswer: 871\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20 - 115\/(-100)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*d**3*l + 364880*d**3 + 73106*d**2*l**2 with respect to l.\nAnswer: 14*d**3 + 146212*d**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 7)*(-2 + 1 - 1)*(-40*b + 21*b + 50*b).\nAnswer: 434*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -3 + 1)*(1 - 8). Suppose -2*v = z*v. Put v, 1, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2065731.1015803 - 2065717.46. Let l = g - -0.3584647. Let f = l + -14. Round f to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 596328.\nAnswer: 2, 3, 24847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 114341.9 weeks in nanoseconds?\nAnswer: 69153981120000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1. Let l(p) = -286*p - 65. Give -l(q) + 65*u(q).\nAnswer: 286*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 507648 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + 1116. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 3. Let m = 6 - 1. Suppose -5*x = -4*k - 57, 5*k - 14 = 4*x - 65. Let c(g) = 2*g - 5. Calculate k*c(q) + m*a(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-4))\/p**(-1))**(4\/9) assuming p is positive.\nAnswer: p**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 889 + -601. What is the remainder when 45 is divided by (u\/(-60))\/(2\/(-10))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**3 - 265*l**2 - 760*l - 500 = 0.\nAnswer: -50, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2484*z**3 - 4690*z**2 wrt z.\nAnswer: 14904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(150\/(-8))*(-40)\/14672*-7.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 7*z**2 - 3*z - 9. Is h(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, -4, -205, -3, 46 in increasing order.\nAnswer: -205, -24, -4, -3, 1, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - 45. Suppose 3*n - 8 = s. Let j(g) = 4*g**3 - 4*g**2 + 3*g + 4. Let h(b) = 3*b**3 - 3*b**2 + 2*b + 3. Calculate n*h(t) - 4*j(t).\nAnswer: 2*t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i + 101. Let m(g) = 2*g. Determine m(w) - v(w).\nAnswer: -2*w - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 72*q - 1294. Calculate u(39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 94, 98, 104, 112, 122, 134, 148?\n\"Answer: i**2 + i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -2. Suppose j = 3*y + y - 44. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2. Let i(q) = 229*q**4 + 182*q**2. Let h(m) = -i(m) + 3*n(m). Find the third derivative of h(g) wrt g.\nAnswer: -5496*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707755931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = 24*u + 2*d + 14, u + d = -1. Is (-8)\/32 + (-7485)\/u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let f(v) = -13005506*v. Calculate f(l(k)).\nAnswer: 13005506*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -3*400\/(-8) + -16 and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001101111010011 (base 2) to base 6\nAnswer: 1320215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-35) - 2)\/(3 + 1312\/(-448))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a**5 + 67104*a**4 + 1364630*a**3 - 869784*a**2 - 561960*a = 0. Calculate a.\nAnswer: -6690, -21, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 2. Let v be g(-3). Solve 0 = 3*j + 2*j + v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hmpppmu. Give prob of sequence up.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, 3, -4, -2600, -1\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 98, -0.31, 9\/22?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 725 + -669. What is the greatest common factor of h and 15848?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -224*b + 231*b - 364. Suppose -b + 34 = -9*q. Which is smaller: q or 84\/29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/168 and 97\/436464?\nAnswer: 436464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (5 + 21 + -10).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 303.5 and -4.\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -7*d + 129. What is f(-9)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzggggggzz. What is prob of picking 3 g?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 54 = 2*p, 8 = 5*y - 5*p - 37. What is the remainder when y is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:11 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3608145493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3127*a**2 + 42*a + 32. Let m(z) = -3124*z**2 + 49*z + 31. Let w(l) = 7*g(l) - 6*m(l). Differentiate w(j) wrt j.\nAnswer: -6290*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(175)\/sqrt(5))\/sqrt(7) + 3*sqrt(5)*-1 - ((sqrt(125) + -3 - sqrt(125))**2 - sqrt(125) - (sqrt(605) + -4))).\nAnswer: -34 + 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28268159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7247*w**3 - 17*w**2 + 1574*w?\nAnswer: 43482*w - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40201 - -281405\/7. What is the third biggest value in g, 0, -49, 0.07?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 7*g**2 + 48*g + 4. Let j = -19535 + 19528. Determine k(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 38 (b) 3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*p - 2*p. Suppose -2*q = a + q - 47, -a + 3*q + 17 = 0. Calculate the highest common divisor of p and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282*b + 5403 + 1108 + 7025 = 0 for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 3, q: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 16*k + 39*k.\nAnswer: 55*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 + 84. What are the prime factors of (1 + b - -20)\/((-4)\/(-52))?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 5*o**4\/2 + 11*o**2\/2 - 40*o. What is the first derivative of u(k) wrt k?\nAnswer: 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1233 (base 5) to base 10\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 62\/3 (b) -2\/5 (c) 2 (d) -0.2 (e) 0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.089 + 4.089. Let y be (-130)\/(-180) - 3\/6. What is the nearest to -1\/6 in 1, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -16*d**2 - 30*d + 64. Let y(c) = -18*c**2 - 31*c + 64. Let p(u) = 6*y(u) - 7*z(u). Factor p(m).\nAnswer: 4*(m - 2)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 21. Let i be n(7). Suppose 5*j - 2*u = 65, -3*u + 7 = -i*j + 2*j. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 24*p + 31687 - 31687.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 41 = 5*k - a, -5*a + 13 = k. Suppose 0 = 32*z - 55*z + 69. Solve 0 = z*p + 4*b - 27, 5*b - k - 27 = -4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1116*t + 1899*t + 7969*t + 3643*t)*(-5 + 5 + 3).\nAnswer: 43881*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 8*q - 4*q. Let p(k) = -k**2 + 22*k - 12. Let j(x) = x**2 - 23*x + 14. Let g(m) = q*p(m) - 6*j(m). Let i(n) = -2*n. What is g(i(h))?\nAnswer: 4*h**2 + 32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114618958 is divided by 6877?\nAnswer: 6876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 59 = -27. List the prime factors of v.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 8945 = 14040. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019629 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 162230900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13\/3 + -5. Let t = 0.063 + -0.063. Sort 1, f, t, -1\/38 in increasing order.\nAnswer: f, -1\/38, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 - 15*h**2\/2 - 32*h + 177. Determine c(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-50)\/(-105))\/(2\/(-14))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 21548914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 4350191 to the nearest 10000.\nAnswer: 4350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 16 = 5*n - 14, -5*n + 66 = 4*v. What is the lowest common multiple of 161 and n?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 65*s + 119631 = -59*s, 18 = 3*s. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4 + 1354*k**3 + 55683*k**2 + 107300*k + 52972 = 0.\nAnswer: -38, -1, 1394","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 180372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 2806?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.6 and -187.4749.\nAnswer: 1424.80924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 12*b**2 - 2*b + 7. Let t be j(-9). Suppose -t + 5132 = 4*c. Suppose -4*g + 100 = -c. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11488 and 38921344.\nAnswer: 38921344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 3:58 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 1485*h**3 + h**2 + 4378*h - 2643. What is the derivative of x(r) wrt r?\nAnswer: 8910*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-5\/6)*j**11*j*j**17*j**(3\/4)*j*j*j)**(-1\/7) assuming j is positive.\nAnswer: j**(-383\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(26\/(-24))*3\/(-2). Suppose 27*v - d*v = 3933. List the prime factors of v.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyumaaw. Give prob of sequence uyma.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*p**4 + p**3 - 62*p - 15731 wrt p.\nAnswer: 132*p**3 + 3*p**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338292 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -267*f**4 - 318 - 471 - 993*f**4 - 146 wrt f.\nAnswer: -5040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4482, -3466, -2450?\nAnswer: -1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m + 22*m + m**2 - 7*m.\nAnswer: m**2 + 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 - 226*f**2*s + 2*s + 56 wrt f?\nAnswer: 6*f**2 - 452*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1787197399?\nAnswer: 13, 19, 31, 233407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let h(j) = 1398*j**2. Give n(h(l)).\nAnswer: -1398*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 55963, 111920, 167877, 223834, 279791, 335748?\n\"Answer: 55957*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9.3 or -13971\/143?\nAnswer: -9.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -3*j - 31 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + ((-240)\/(-25) - 1) + 23\/(-5). Sort 1, 115, v in descending order.\nAnswer: 115, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -1\/3*g**3 - 36 + 9\/2*g**2 + 5*g. Let f be d(9). Solve -i - f*p - 17 = 0, 23 = i - 3*p - 2*p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/44 and -21\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*q - 96*q - 3479*q**3.\nAnswer: -3479*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 5*l**2 + 54*l - 20. Let g(o) = o**3 - o**2 - 15*o - 1. Let s(p) = -3*g(p) - z(p). Calculate s(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Suppose -p*f + 145 = f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -93 + 792*c - 59 - 664*c wrt c.\nAnswer: 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 40*u - 34*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 70?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 x when four letters picked without replacement from cxxxxxccxcxcxcmcmxxx.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -o + 14, -94*o - 282*o + 3*x = -198*o + 781 - 51 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 1050 = 4*l. Find the second derivative of -31*y - y**5 - 204 - y**5 + 100 + 6*y**4 + l wrt y.\nAnswer: -40*y**3 + 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2 - 2*d**2 - 1 - 5 + 14*d**2. Let r(s) = -4*s**2 + 3. Give 3*q(i) + 8*r(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, -38, -126, -260, -446, -690?\n\"Answer: -i**3 - 14*i**2 + i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/((-3)\/(-8)) - 0. Suppose -a + 444 = 5*v, -v + 420 = 4*v - 5*a. What is the highest common factor of v and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/42660 and 49\/8766.\nAnswer: 20775420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -40. Let z = 32 + -30. Suppose 0 = 16*p - 15*p - z. What is the lowest common multiple of a and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26081394 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = n - 691991, 3459955 = 5*n + 306*m - 308*m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/2196 and -127\/11700.\nAnswer: 713700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-6)\/3))\/(((-16)\/2)\/(-8))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -8895*u - 3*u**2 + 625883 - 3970199 + 122277 - 3985461 - 405*u = 0. Calculate u.\nAnswer: -1550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2. Let t(b) be the third derivative of -b**5\/6 - 23*b**2. Determine t(o(i)).\nAnswer: -40*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3538 - 2257. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**3*t*z + 2*l**3*t - 8*l**2*z - l*t*z + 2*t*z + 9*z wrt l?\nAnswer: 54*l*t*z + 12*l*t - 16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 10:25 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*h + 2*h + 2 - 5)*(-1 + 1 + 5) to q + k*h and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49575521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33030 + -132000133?\nAnswer: -132033223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189800844 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - 4244331?\nAnswer: -4244311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 228*f**2 + 324*f - 792. Let j(b) = -7*b**2 + b + 2. Let y(w) = -32*j(w) - x(w). Factor y(h).\nAnswer: -4*(h - 2)*(h + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 40 = -8*f. Suppose -m + 4*x + f = 0, -4*x = 4*m + x + 2. Suppose -a - m*a + 3 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53.655597 + -52.22560384. Let v = g - 1.43. Round v to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.019 + 1.419. Which is the closest to -2? (a) 2\/15 (b) t (c) 2\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0 + 0*k - 47*k**2 - 1\/9*k**3 + 1\/180*k**5 - 1\/72*k**4. Determine q, given that o(q) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, -74, -0.5, 143, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -34?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/7 + 238529*q\/7 + 238528\/7.\nAnswer: (q + 1)*(q + 238528)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 30, -5, -54?\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*a = -5, -2*c - 4*a + 261 = 259 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -1. Let o(z) be the second derivative of -z - z**2 + 0 - 1\/12*z**4 + 0*z**3. Let n(y) = -2*y**2 - 4. Determine x*o(h) - 3*n(h).\nAnswer: h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -4894?\nAnswer: -8809.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-404)\/7 + (-6)\/21. What is the least common multiple of l\/(-10) + (-1)\/(-5) and (-3)\/2*2\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26822 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 328499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 1302.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113227481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + -2454. Let w = 3492 + v. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from {w: 2, z: 1, o: 4, b: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 - 25. What is the remainder when h is divided by (3 - -24) + 48\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 2312323321?\nAnswer: 2312323312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let i = 1.5 - o. What is i rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 2*n - 4*n - 3*n. Let f(l) = 2*l**2. Determine z(f(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 527\/1581 + 0\/1 + 2\/12. Let k = 52 + -54. What is the nearest to l in k, -5, 1\/4, 14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 + 22460*t**2 - 44905*t + 22450.\nAnswer: -5*(t - 4490)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -711, 0, -2, 21 in increasing order.\nAnswer: -711, -2, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 10. Let t(u) = -2*u**2 - 9*u - 1. Let k be t(-4). Let a(g) = 8*g + 8*g**2 - 9*g**2 + k + 0*g**2. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11088631 divided by -2?\nAnswer: 11088631\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - 3*(sqrt(121) + -1*sqrt(121))) + 2*sqrt(121)*-4)\/(sqrt(121)\/(sqrt(99)*-1 - sqrt(11))*-2).\nAnswer: -14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58366451 by 5603.\nAnswer: 10417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 4*l - 0*l + 24, -l = 4*u - 66. Let c = u + -10. Solve -5*v - 23 = -w, -5*w + 35 = v - c*v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04 (b) -1\/2 (c) 0.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + 383561?\nAnswer: 383551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -1. Let a be 2*(-1 + (-3 - -2)). Let k = a + v. Solve 0 = -3*r + k*r - 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25011\/4 > -6252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 16*z**2 - 17*z - 27. Let g be r(-15). Let f(x) = 175*x + 13. Let s(t) = 87*t + 6. Let b(n) = -4*f(n) + 9*s(n). Is b(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/54)\/(5\/2 - 2). Suppose 4*x + 55 = 883. Calculate the remainder when x is divided by (h\/((-24)\/(-32)))\/(4\/(-45)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9957 - 9956. Sort 3, 46, y in decreasing order.\nAnswer: 46, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 50 = 3*s - 28, -4*f = 5*s - 121. Suppose s = -4*g + 69. Calculate the remainder when 52 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1. Let c(d) = 6*d + 3. Let i(y) = -y. Let s(b) = c(b) + 4*i(b). Give -4*l(f) - s(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118921592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o**2 + 4. Let g be d(2). Which is the closest to -0.29? (a) g (b) 1\/8 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**5 - 3*u**5 - 2*u**5 + 0*u**5 + u**5 + u**5 + (-4*u**2 + 3*u**2 + 2*u**2)*(u**3 + 2*u**3 - u**3) + 27*u**5 + 14*u**5 - 9*u**5.\nAnswer: 35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33199\/53580 - 129\/380. What is the common denominator of 87\/470 and p?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*d - 257*d = 344828. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 3130 = -2*w, 0 = -p + w + 114 + 664. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 + w**2 - 3*w + 4. What is the remainder when 125 is divided by z(2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 7*x = 0. Suppose 4 = j - x. Solve -n = m - 4, -4*m + j*n = -m + 23 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/8*-1 - (-44)\/(-56)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1) + 12 + -8. Suppose 2*t + 35 = 3*g + t, t = -f*g + 37. What is the remainder when 21 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19759.\nAnswer: 19759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117727205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1998 minus -179084?\nAnswer: 179080.8002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*x**2 + 1964*x**2 + 2215*x**2.\nAnswer: 4045*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w - 2. Let q(l) = 1. Suppose 0 = -m + 1 - 3. Let o(y) = m*q(y) - n(y). Let k(z) = -6*z + 28*z - 25*z. Calculate k(o(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.17 to zero decimal places.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119471*o - 59701*o - 1 + 3 - 2 + 3*o**3 - 59770*o.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -487887, -487893, -487911, -487947, -488007?\n\"Answer: -t**3 + t - 487887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*o**3 + o**3 + 3*o**3)*(53*o - 26*o - 67*o) in the form y*o**4 + u + n*o**2 + d*o + g*o**3 and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68)*3 + sqrt(68) + sqrt(68) + sqrt(68)))*-6*-5*1)\/(-1*(-6*(sqrt(484) - (sqrt(484) - 1*sqrt(484)) - sqrt(484)) + sqrt(484))).\nAnswer: 150*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 = -2*d, -5*d - 15 = 5*u - 4*u. Let l(k) = -k**3 - 5*k**2 + 3*k + 7. Let w be l(-6). What is the highest common factor of w and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*u**2 - u**3 - 10*u**4 - 83*u + 166*u - 103 + 105 - 81*u in the form c*u**4 + v*u**3 + n*u**2 + g + z*u and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10737, 42952, 96641, 171804, 268441, 386552, 526137?\n\"Answer: 10737*n**2 + 4*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 1. Let c be h(-3). Let k be (c\/4)\/(2\/(-24)). Let n be (-86)\/k + 2\/3. Solve 0 = -5*q - 0*q - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + (-10)\/8. Let q(u) = 2 + 2*u - 2*u**2 + 3*u**2 - u - 3. Let d be (26 - 4)*6\/33. Let x(l) = 5*l**2 + 6*l - 2. Calculate d*q(i) + n*x(i).\nAnswer: -i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 11*g**2 + 5. Let b(z) = 5*z**2 + 2. Let k(j) = 5*b(j) - 2*c(j). Let y(o) = -19 + 19 + o**2. What is y(k(d))?\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 126908.6 seconds in microseconds?\nAnswer: 126908600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from {k: 13, f: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (20 - 1)) + -26?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3*y**2 - 27758*c*y**2 - 2*c - 11517737*y**2 wrt c?\nAnswer: 3*c**2*y**2 - 27758*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.027717227594 to 4 decimal places.\nAnswer: -0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a**2. Let g(f) = -f - 1. Let p(y) = -y**2 - 3*y - 3. Let s(k) = -3*g(k) + p(k). Determine d(s(x)).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:29 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 17 + 11 - 1171*w**2 + 2332*w**2 - 1180*w**2. Let b(o) = 39*o**2 + 11*o + 13. What is 6*b(c) + 13*h(c)?\nAnswer: -13*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.113865037 rounded to 5 decimal places?\nAnswer: 0.11387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 1110\/247?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.602 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*s + 190*s - 7050 for s.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z\/(z**(-2\/5)*z))\/z)\/z*z)\/z)**(-2\/21)*z*z**1*z*(z\/z**5)\/z)\/((z*z**(1\/3))**(-1\/6)*(z**(-1)*z)\/(z*z**(-2\/9))) assuming z is positive.\nAnswer: z**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((3\/30)\/((-45)\/(-125))))\/(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -6*w - 13. Let k(a) = 5*a**2 + 4*a + 5. Does 11 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (2 + -3 + -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -897, -1807, -2721, -3639, -4561, -5487?\n\"Answer: -2*t**2 - 904*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t - 1. Let d(b) = -9*b + 3. Suppose -p - 13 = 5*n, 4*p + 2*n - n + 14 = 0. What is p*d(s) - 9*a(s)?\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3 + m**2 - 2*m - 8*m + 13. Let v be x(8). Suppose -39*z + 37*z + 122 = v. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10673\/11494*28\/(-2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2 - 0. Let n = 29 + -15. Suppose 3*a = 5*d + 10, 2*d - 4*d = 4. Solve a = 4*b - 3*x + n, -g*x = -b + x + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*1*1*3)\/(sqrt(108)\/((2*sqrt(96))\/sqrt(8))))**2*-6.\nAnswer: -2808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 1. Suppose 0 = -2*b - 6*b - 16. Let y(p) = -16*p - 6. Determine b*y(c) - 11*x(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from frcjnrrrnkfcr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -1 (c) 1\/5 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112054 - -4?\nAnswer: -112050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 3\/50*j**6 - 4\/15*j**3 + 1\/10*j**2 + 11\/30*j**4 + 0 - 2*j - 6\/25*j**5. Find c, given that b(c) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**(2\/3))\/l*l)**(-1\/24))**35\/(((l**3\/l)\/(l*l**(2\/7)))\/(l**(-4)\/l**(2\/7))) assuming l is positive.\nAnswer: l**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*4\/42)\/((561\/119)\/((-6)\/(-8))).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {g: 1, p: 3, x: 4, s: 2, c: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 21. Calculate the smallest common multiple of 5 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*sqrt(330)*-2)\/(3*sqrt(40)))\/((sqrt(275) + (sqrt(275) + (-2*sqrt(275) - sqrt(275)) - sqrt(275) - sqrt(275))*-6)*-6).\nAnswer: -sqrt(3)\/250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.09, -251, -540, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x**2 - 2*x**2 + 5*x**2 - 1 + x - 51*x**3. Let m be j(-3). Let l be m\/4 - (1 + 0). What is l rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - cd878?\nAnswer: -cd864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*20\/(-25) + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + 4 + sqrt(13) + (sqrt(1053)*-2)**2 + sqrt(13))*1.\nAnswer: 3*sqrt(13) + 4217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 - 5*t**2 - 2*t - 2. Let b(k) = -10*k**3 - 18*k**2 - 4*k - 5. Let d(l) = -l**2 + l + 1. Let o(y) = b(y) - 2*d(y). Give -2*o(u) + 7*z(u).\nAnswer: -u**3 - 3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 15 = -h, 6*j + 5*h - 25 = j. Suppose -4*f + j*t + 66 = 0, -5*t + 7 = 4*f - 39. Let x = -13 + f. Solve u = -a + 2*u + x, 2*a - 1 = 3*u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7747*-0.08\nAnswer: 619.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*((h*h\/h**(-8))\/h)\/h*h*h)\/h)\/h**(-18)*h**19*h**(-2\/35)\/h assuming h is positive.\nAnswer: h**(1608\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p, 0 = 7*j - 3*j + 3*p + 40. What is the least common multiple of 14 and (-14)\/7*(j + 1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**2 + 39*g + 36.\nAnswer: -3*(g - 4)*(4*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3029*a**4 + 2*a**3 - 2*a**2 - a + 291708 with respect to a.\nAnswer: 12116*a**3 + 6*a**2 - 4*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/25280 and 41\/80.\nAnswer: 25280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4725 and 466695.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {v: 11, u: 2, o: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nfh when three letters picked without replacement from snnhnnsfffssnsn.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 15*f - 9. Let y be c(-13). Let t = 21 - y. Solve -5*x + 3*b - 7 - 25 = 0, -4*x - t*b = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115033\/100560 + 4\/2095. Calculate the common denominator of -67\/20 and k.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1502204 (base 6) to base 5\nAnswer: 10223134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96317 and 130733.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 86628 and 750.\nAnswer: 10828500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/4 - (-5 - (15 - 18)). Solve 0 = l - h*a + 1, -5*l + 6 = -98*a + 99*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**2 + 0*k**2 + 2*k**2 to y + f*k + v*k**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 34, 66, 98, 130, 162?\n\"Answer: 32*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 375\/6*2028\/4225?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109 and 179523?\nAnswer: 179523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114166219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 6*j - j)*(3 - 1 + 0)*(4 - 1 + 2).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2 + 1629*z + 35645. Give c(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 4*k - 6. Let l be r(-6). What is the third derivative of l*w**5 - 8*w + 4*w**2 + 8*w wrt w?\nAnswer: 360*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 68, 152, 290, 500, 800, 1208, 1742?\n\"Answer: 3*d**3 + 27*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 22736*v + 365382 + 1123*v - 365382 in the form g + h*v and give h.\nAnswer: 23859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49092 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r + 2. Let y(m) = -40*m - 27*m + 1 - 27*m + 93*m. Let d = -15 + 22. Give d*y(q) - 3*x(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -162238, -163897, -165554, -167209, -168862?\nAnswer: -170513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - (sqrt(175) + -1)) + -4)**2*6*-4 - (2 + -4 + (sqrt(112)\/sqrt(2))\/sqrt(2))**2.\nAnswer: -248 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(176) + sqrt(176) + 0)*1 - ((sqrt(176) - (-1 + sqrt(176))) + sqrt(176) + -4))**2 - 3*-3*(sqrt(176) + 0)*-2).\nAnswer: -48*sqrt(11) + 190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2\/7, -0.12, -2, -2\/53?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 658 and 6674?\nAnswer: 46718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 + -0.42. Suppose -72 = -8*g - 0*g. Let v be 12 - g - (-58)\/(-18). Put v, 5, m, -1 in decreasing order.\nAnswer: 5, v, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-163 - -145) + (0 - -48 - -3) + (0 - 12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (5*(2*sqrt(121) - sqrt(121)) + sqrt(121)))\/(sqrt(132)\/sqrt(3)).\nAnswer: -5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5791559004.\nAnswer: 2, 3, 7, 11, 31, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 5*h**2 + h + 6. Let s be a(6). Suppose -j + 4*n + s + 56 = 0, 2*n - 208 = -2*j. Calculate the greatest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47539.367 and 0.5.\nAnswer: -47538.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10*r + 9. Let z = 36577 - 36571. Calculate the remainder when b(8) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 8:19 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agaaaaggggaagm. Give prob of picking 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 182, 22, 57 in decreasing order.\nAnswer: 182, 57, 22, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -114, -10, 21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25 = -8*f, 4*f + 8 = 4*z. Let r be (-1)\/z*18*1. Suppose 4*q = 3*b + 21, r*b = 2*q + 3*b - 15. What is the greatest common factor of q and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -2, -68, -4, -0.5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 24*f + 68. Give q(-8).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) -0.5 (c) -4 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*w - 14*y + 19*y, -6*w + y = -12. What is the closest to w in -2\/7, 0.1, -11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + -4*(4 + (sqrt(135)\/sqrt(5))**2).\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 9. Let c be (s\/22)\/((-4)\/(-2)). Which is greater: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 27 = -4*f, -x + 72 = 4*f. Let d(s) = 0 + 2*s + 6 - 3*s. Let i be d(0). What is the highest common divisor of i and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 take away -623319?\nAnswer: 623316.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 125*b + 155. Let w be r(30). Sort 0.7, w, -4, -5\/3 in decreasing order.\nAnswer: w, 0.7, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4196 is divided by 3481?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 15) + 11 - -13) + -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.613 + 2.5. Let x = -6.187 + b. Round x to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21756\/504)\/259)\/(-1 - (-19)\/21).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -402 + 206 - 3*h - 2*h + 198. Suppose -9 = 5*s - 2*s. What is r(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g**3 + 31*g**2 - 28*g - 13. Determine d(-17).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56629, 225438, 506795, 900706, 1407177?\nAnswer: 2026214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03163 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*d + 0*d = -34572, 5*r + 5*d = 86440. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, 1\/5, 2.1, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1844*z + 256270. What is r(139)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91) + (sqrt(91) - (-2*sqrt(91) - sqrt(91))) + sqrt(91) - sqrt(91))*-3)\/sqrt(7)*6)**2.\nAnswer: 105300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3668696.725 rounded to the nearest 100000?\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3055*p + 14305*p + 17955*p - 7122*p.\nAnswer: 28193*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 151734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54429130 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2)*(-2 - 1 + 5)*(0 + 7*k + 0)*(4 - 4 - 1).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 1. Suppose 2 = -0*o + 2*o. Let z be j(o). Suppose -3 - 15 = -z*s. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 9:22 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121376 or -121445?\nAnswer: -121445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttctccctcttttt. Give prob of picking 1 t and 1 c.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:39 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1405, 2860, 4315, 5770, 7225?\n\"Answer: 1455*h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2789 - 766. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10774?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 346570 (base 9) to base 16.\nAnswer: 32d69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 4)*(-y**4 - y**4 + 3*y**4) - 3 + 6*y**4 - 3*y**4 + 1.\nAnswer: 4*y**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -275963054*j**2 - 91024580*j?\nAnswer: -551926108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 14*q**2 + 288 - 37*q**2 - 287)*(4 - 4 - 2).\nAnswer: 102*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 5, 0.34, 40, 0.3, 1 in ascending order.\nAnswer: -2\/3, 0.3, 0.34, 1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(95\/15). Let j = 2 - 1.9. Let o = 1 + -3. What is the closest to -0.1 in x, o, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r - 1987 + 363 = -131*r + 2042 for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85\/262 - -1191\/20960. Find the common denominator of x and -91\/96.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 262361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-60) - (-272)\/15. Suppose 0 = -4*c - 4*g + 916, -22 + 2 = 4*g. What is the highest common divisor of b and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3\/5 - 436748*p**2\/5 + 16600756*p\/5 - 31544180.\nAnswer: -4*(p - 19)**2*(p + 109225)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 336*f**2 - 757*f**2 + 1513*f**2 + f**2 + 0*f**2 - 2*f**2 + (-3*f + 0*f + 4*f)*(0*f + 3*f - f) + 3*f**2 - 1 + 1 as l*f**2 + n*f + z and give l.\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/12 - 3*d**3 + 2*d**2 + 19*d. Let z be s(-9). List the prime factors of -9 + 13 + (z - 0).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3\/2, -0.07, -3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10751 and 28945?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1) - ((-8)\/2)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**2 - 95. Let s(q) be the second derivative of -5*q**4\/4 + 3*q. Determine s(d(b)).\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:43 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5243135, -20972685, -47188601, -83890883?\nAnswer: -131079531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*x + 0*x**2 - x**2 - 32*x + 885955138 - 885955138.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-16 + 22) - (109 - 4)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 - -213. Is 13\/11 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 40. Let s = -230 - -216. Let w = a + s. Which is greater: w or -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**3 - 2*s**3 + 2*s**3)*(-12 - 1 + 7 + (-3 + 1 + 3)*(4 - 3 + 1)) to q + d*s**3 + b*s + m*s**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1278 by -9.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1065.6785 to 0 dps.\nAnswer: -1066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a97 - -9?\nAnswer: -2a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 174 - 273 = -147 - 135 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26496, 26394, 26278, 26142, 25980, 25786, 25554?\n\"Answer: -d**3 - d**2 - 92*d + 26590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10460614 (base 8) to base 13\nAnswer: -60b76a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2308 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/7 (b) -0.5 (c) 1 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -204134.95765 rounded to the nearest ten?\nAnswer: -204130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*s**2 + 33*s**2 + 369*s**2.\nAnswer: 358*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19830 is divided by 82?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75799*m**2 - 3162*m - 2?\nAnswer: 151598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**8\/20160 - u**7\/840 + u**6\/180 - 43*u**5\/20 - 75*u**2. Let c(x) be the third derivative of r(x). Give c(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211210 + 2?\nAnswer: -211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -683.0745942 to 0 dps.\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 338 + 71. Let i be -3 + -49 + 2 + -2. Let f = l + i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 8*i - 2. Let l(m) = -5*m**3 + 23*m - 7. Calculate 7*b(z) - 2*l(z).\nAnswer: 3*z**3 + 10*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 294733419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/56 and -18\/749?\nAnswer: 5992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 16 = 110. Let f be -7*-4*v\/168. Put -3, -5, -15, f in decreasing order.\nAnswer: f, -3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 19*q - 20. Determine c(19).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/20 + 3*m**2. Suppose 0 = 4*p - 17 - 11. Let j(h) = h - 3*h**2 - p*h**2 - h**2 - h. Calculate j(w(g)).\nAnswer: -99*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/96*(-25)\/90*2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 + 2*y**2 - 1. Suppose -2*w = -4*w + 6. Let q = w - 1. Determine h(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -85\/11, 2, -2\/3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8217 + -8227. Let u(l) = -41*l**3 - 5*l - 5. Let p(x) = -21*x**3 - 2*x - 2. Give g*p(y) + 4*u(y).\nAnswer: 46*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 2)*(1 + 45\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-3)\/1))\/(((119\/42)\/(-17))\/(-18))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 - 3)*(676*n + 4*n**2 - 3*n**2 + 351*n) + 2 + 0*n**2 - n**2 - 1.\nAnswer: -3*n**2 - 2054*n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixtxhhrhxxh. What is prob of sequence ii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -23297, -46685, -70073, -93461, -116849?\n\"Answer: -23388*u + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -1217526?\nAnswer: -1217527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, w: 15}. Give prob of sequence ewew.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h = 0. Let w = 15.38 + -0.38. Let l = -15.4 + w. Which is the smallest value? (a) h (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y*y\/(y\/(y\/((y*y*y*y**(-4)*y*y)\/y*y))))\/y))\/y**(2\/17))**(3\/35))**31 assuming y is positive.\nAnswer: y**(279\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - 43. Let y = 35429\/88 - 4518\/11. What is the common denominator of ((-102)\/(-15))\/((-64)\/z) and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -48*j - 750. Calculate b(-16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 1?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 285024*h**3 + 884*h - 122?\nAnswer: 1710144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from drrdpdpp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/280377132 and -133\/120161628?\nAnswer: 841131396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/170 and 107\/102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.31221 and 11291.4?\nAnswer: 11290.08779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -10*m**2. Let b(v) = -30*v**2. Let a(j) = -5*b(j) + 16*s(j). Let z(p) be the third derivative of -p**4\/8 - 9*p**2 - 6. Calculate a(z(h)).\nAnswer: -90*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13206 + -5?\nAnswer: 13201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 474164281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1199411, 1199409, 1199407, 1199405?\n\"Answer: -2*r + 1199413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v + 1. Suppose -24*o + 2 = -23*o. Let p be s(o). Sort 0.06, 0, p in descending order.\nAnswer: p, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 10 + 7*n**3 - 7 - 4*n + 6*n - 5*n**2 as x*n + y*n**3 + b*n**2 + u and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20912825, 20912823, 20912821, 20912819, 20912817?\nAnswer: 20912815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 8*r. Let i(k) = -3*k. Let v(t) = 17*i(t) + 6*q(t). Let c(u) = 3*u. Calculate v(c(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*(sqrt(847) + -1 - sqrt(847)) - -6*(sqrt(7) - sqrt(56)\/sqrt(288))))**2.\nAnswer: -80*sqrt(7) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 600262380 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -208 - -210. What is the least common multiple of i and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - -4*(2*sqrt(847) + sqrt(847)) - (sqrt(847) + 0 + -5))**2 + 5 + (1*sqrt(567))\/sqrt(9) + 0.\nAnswer: 1323*sqrt(7) + 121998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 74*n**3 + 399*n**3 + 26*n**3 + 333*n**3.\nAnswer: 684*n**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 4. What is the remainder when 32 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -111*n + 450. Let k be c(4). Solve 2*v - k = -2*a, a + v + 2*v = 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -77, -82, -87, -92, -97?\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1003.1 + -1003.3. Which is the fourth smallest value? (a) 2\/11 (b) -2 (c) 0.32 (d) u (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2\/3, 3\/4, -172, -2\/11?\nAnswer: -172","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-15))\/(1\/(-15)). Let p be (j\/(-15))\/((-8)\/3). What is the closest to 2\/7 in -2\/11, 3\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g - 15*g + 16*g + 21*g - 8*g - 13*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/(-13)*(-4)\/(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/3 + 21864*j + 131168\/3.\nAnswer: 4*(j + 2)*(j + 16396)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v. Let f(a) = 38432*a. Determine n(f(h)).\nAnswer: 76864*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**3 + 2*h**2 + 2*h + 3. Let v(r) = 10*r**3 - 3*r**2 - 3*r - 5. Give 8*b(p) + 5*v(p).\nAnswer: -6*p**3 + p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, n: 2}. What is prob of picking 2 h?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 11583?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 74075*i + 1481499. What is w(-20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0, -5\/2, -3, 7\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (5 + (sqrt(34)\/sqrt(2))**2 - (sqrt(17) - sqrt(51)\/sqrt(3) - sqrt(17))**2*3) + ((1 + sqrt(17))*3 - (sqrt(34)\/sqrt(2) + 0 - sqrt(17))).\nAnswer: -23 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*q + 1088 = -5*d + 1062, 8*d = -q + 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39441722081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16807 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*m + 2*m**3 - 20 + 21 - 369*m**4 + 375*m**4 - 2*m to u*m**3 + l*m + i*m**4 + a + f*m**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4759.9986965 + 4760. What is s rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/242900 and -93\/242900?\nAnswer: 242900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from ymbqblcmy.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1373 - 1367. Calculate the least common multiple of 104\/3 + 3\/9 and p.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*y = -106*y + 57. Let s = y - -77\/4. Which is the second biggest value? (a) s (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2535 and 195195.\nAnswer: 195195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.75, -1\/11, 19, -2.19 in descending order.\nAnswer: 19, 1.75, -1\/11, -2.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -579 - -53 - (12 + -3 + 2). Which is smaller: -530 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 366 and 35547?\nAnswer: 4336734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 6 = 5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 808122 divided by 3.\nAnswer: 269374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1683 - 695 = -2*h. Is h a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*d - 23. Let r = d + 14. Let j = 12 + -10. What is the second smallest value in 1, r, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhkhkkhhkh. Give prob of sequence kkk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 4. Suppose 5*d - 27 = 3*s + f, -49 = -5*d - 3*s. Calculate the least common multiple of d and -1 + (1 + 7 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3824.1 - 3824. Put -1, h, -3\/5, 0.5 in decreasing order.\nAnswer: 0.5, h, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383203166 plus -10?\nAnswer: 2383203156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4652 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*541.\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*b**2 + 0 - 9334336498*b + 9334336498*b + 1.\nAnswer: -64*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 10 = 0, 3*j + 2*x - 85 = 7*x. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 3*y + 1. Let q be v(3). Suppose 5*f + q = -r, -5*f - 10 = 3*r + r. Let j be (-1 + r)\/((-3)\/69). What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 504 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 631*o**5 + 42460*o**4 - 42460*o**4 + (3*o**4 - 5*o**4 + o**4)*(3 - o - 3).\nAnswer: 632*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1. Let s(r) = -r**3 + 20*r**2 - 26*r - 51. Let a be s(15). Suppose -41*m - a = -192. Let i(f) = -4*f**2 - 4. Determine m*b(u) + 3*i(u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12)*44\/99?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 890 = -9*n. Calculate the remainder when n is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/9*(-102)\/(-119)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + z = -29, 0 = 3*z - z + 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:43 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 5. Let c(b) be the third derivative of -b**4\/12 - b**3 + 2*b**2. Determine -2*c(q) + 3*k(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106448, 212893, 319338, 425783, 532228?\nAnswer: 638673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-2)\/(4*sqrt(3)*-1 + sqrt(3)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4*s**3)*(2*s**2 - 4 + 4) + 3*s**5 + 3*s**5 - 7*s**5.\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - ((-6)\/5)\/((-42)\/(-280)). Solve -2*y - 32 = -5*v - 10, 0 = 2*y + 3*v - t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-13)\/((-273)\/(-36))*2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4841 times -0.03?\nAnswer: 145.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -10*g**2 + 1. Let p be h(1). Let a(m) = m**3 + 10*m**2 + 9*m - 1. Let v be a(p). What is the units digit of (10\/30)\/(v\/(-102))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-352)\/220*(-95)\/4. Solve -2 = 5*k + 3*z, 5*k - z - a = -24 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 566.76 + -575. What is k rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*d**2 - 10 - d**2 - 3*d**2 - 7*d - 10*d**2 - 9*d to x*d + s*d**2 + v and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w - 2. Let g(l) = -2*l - 1. Let p(d) = 5*g(d) - 4*r(d). Calculate p(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.3, -2\/7, 5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-6*t + t - 5*t) + 0 + 2*t + 0 - 3*t + 0*t + 4*t.\nAnswer: 23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(4\/11)*z)\/(z**(-15)*z) assuming z is positive.\nAnswer: z**(183\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 5) in base 4?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6.9. Let z = 0.3 + t. What is the biggest value in 5, z, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29 - 4?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 21 = -2*r, 0 = 4*k - 90*r + 94*r - 8 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 19, 62, 125, 208?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 437*b + 4898 = 178*b + 1013 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5754*m - 5379*m = 27750 for m.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*t**2 + 59*t**2 + 138*t**2 + (-t + 3*t - t)*(-2*t - 2*t + t) in the form q + v*t**2 + k*t and give v.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6 = -5*t + 16, 10*m - 77 = 14*m - 7*m - 10*t - 7 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19440)\/(-54))\/18*1\/4*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 12 - 11) + 0 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 8. Let c(t) = -1. Let x(a) = 18*c(a) - 2*w(a). Suppose -j = -g - 5, 8*j - 3*j = -g + 13. Let i be x(g). Solve -d + 1 = q + i, d - 11 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.127329 millilitres in litres?\nAnswer: 0.003127329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 156 - 153. Suppose w*y + 5*c = 1065, 0 = -8*y + 5*y - 3*c + 1059. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48006359 is divided by 547?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30271 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 0 - (sqrt(11) + (-2*-2*sqrt(11))**2)) + 4.\nAnswer: -172 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 57.5.\nAnswer: -57.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/33 + 114\/22. Solve -3*d = r*d - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**33\/(g\/(g*(g*(g**(2\/15)\/g*g)\/g*g)\/g)) assuming g is positive.\nAnswer: g**(497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 = -11*v + 14*v. What is the derivative of -38*c - 85*c - v*c + 46*c + 147 wrt c?\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 14) to base 5\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {n: 11, u: 9}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 7.30803?\nAnswer: 7.30803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -16544 smaller than -16545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -424 - -428. What is the nearest to -17 in -5, r, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 1:00 AM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**2 + 232*j - 4041. Calculate b(-46).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - ab70?\nAnswer: -ab6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 5*l**5 + 0*l**5 + (-4 + 3 + 3)*(-218 + 218 + 83*l**5) - l**5 - 2*l**4 + 0*l**4 + 0*l**5.\nAnswer: 170*l**5 - 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and 0.08.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*a = -582 + 42, 2*a = -4*j + 434. Is j a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496 and 958272?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 30 = 3*z - 6*z, -5*c = 2*z - 23. Let i be (z\/3 - 2)*5. Suppose r + 3*q - 4*q = 8, 2*q + 28 = i*r. Solve -r*l + 5*x + 5 = l, 5*x = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1567491619 to the nearest integer?\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -12819*x - 126706. Determine j(-10).\nAnswer: 1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 3:21 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3100.4287831 - -1.6.\nAnswer: -3098.8287831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011851 rounded to 7 decimal places?\nAnswer: 0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -5*q - 34 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 9*k - 10. Let b be z(7). Does 3 divide (5\/(-15))\/(2\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 6) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (20 + -7 + 2)) + -10.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -70942\/9, 0.21, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.92213 centimeters in kilometers?\nAnswer: 0.0009592213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9}. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoo when three letters picked without replacement from qqvqoqqqqo?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2 + 11. Suppose -f + 20 = o*f. Calculate the smallest common multiple of f and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sibbbbsbsssbibb. What is prob of sequence sb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 - 117756*t + 5 - 503915*t.\nAnswer: -621671*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 + 6*r - 4*r - 23*r**2 + 31*r**2 - r**3 + 63 - r**4 as m*r**3 + z*r**4 + p*r**2 + k*r + b and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaxjfjmxf. Give prob of sequence jm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*i + 1686. Suppose -k + i = 3*v + 2*v, 10 = -5*v. Suppose 476 = 4*w - k. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -88*m**2 + 4*m - 3. Determine z(1).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -100 in increasing order.\nAnswer: -100, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v = -12*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((-10)\/(-22)*(-46)\/(-345)). What is the highest common factor of 176 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -371416179\/48061448 - -1\/353393. Let h = v - -40\/17. Calculate the common denominator of h and (-1 - 46)\/(26 - 0).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14ad6 (base 14) to base 3.\nAnswer: -2121200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 take away -511918733780?\nAnswer: 511918733852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 + 9. Let s(z) = 3*z**2 - 6. Calculate 8*s(h) + 5*t(h).\nAnswer: -h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031 + 333*w**2 - 378*w**2 - 1025.\nAnswer: -45*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 353600, 707203, 1060806?\n\"Answer: 353603*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 8*k**2 + 5*k + 67. Give x(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -731, -751, -785, -833, -895?\n\"Answer: -7*t**2 + t - 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 131 + -166 - (-16 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65736706 to the nearest integer?\nAnswer: 8108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 20. Let u = 10 + f. Which is the second smallest value? (a) -1 (b) u (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*a - 12. Suppose -a = 5*q + 2. Let t = 4 + -4.3. What is the third biggest value in -4, q, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 8520320?\nAnswer: -3\/8520320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*g**2 + 4 - 12 + 10 to the form f*g + l*g**2 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 3*x + x + 24 = 36, -3*w - 2*x = 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u**2 + 458*u - 8. Let h(f) = 3*f**2 - 175*f + 4. Give 7*h(i) + 3*r(i).\nAnswer: 6*i**2 + 149*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14847 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11042*d**3 - 11020*d**3 + 22060*d**3 - 2*d**2 - 9*d + 102 to h*d + q + l*d**3 + b*d**2 and give q.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38812 and 2549564.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 + 1. Let h be (-1)\/(-9) - 88\/(-180). Which is the second biggest value? (a) i (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 - 2624*h**3 - 7886*h**2 - 5260*h = 0. Calculate h.\nAnswer: -2, -1, 0, 1315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48 in -2, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + 0)*(-6 + 29140\/(-6)). Determine k so that 14591*k**3 + 39*k + 24*k**2 + 18*k**2 - a*k**3 = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/30 and -11\/1005?\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -14*a - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*b = 340*b. Suppose b = -7*s - 39*s + 176318. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, q: 2}. What is prob of sequence ff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*i + 4*i**2 - 79*i - 52*i - 9*i**2 + 7*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 p when two letters picked without replacement from {p: 1, c: 1, l: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110535 - 0?\nAnswer: 110535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of 3*y**2\/2 - 4*y + 4. Let v(f) be the second derivative of 7*f**3\/6 - 9*f**2\/2 + 2*f. Calculate -5*j(n) + 2*v(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 25 in decreasing order.\nAnswer: 25, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -371*c**3*u - 354091*c**2*u**2 + 10823313*c*u**2 + c wrt c.\nAnswer: -2226*c*u - 708182*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 32*l + 37*l = -283, -2*f + 550 = -2*l. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 7. Let u be z(-9). Suppose -2*i + 18 = u*g + 2*i, -4*i = -2*g + 42. Suppose -3*n - g = -4*n. Calculate the remainder when 29 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -425 + 431. Let o be (-2)\/((-6)\/9) - 0. Let d be -1 + 0 + 2 + o. Solve 4*a - 2*m + w = 0, 5*m = -d*a + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three eighths of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138 + -137. What is the nearest to 0.1 in -2\/9, -2\/15, w, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 226*t**2 + 680*t + 1535. Determine a(229).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/5 and (20 - 3)*5\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15520 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3235 + -1860. List the prime factors of g.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 40*j - 65. Let u(s) = 5*s - 8. Let i(v) = -25*u(v) + 3*w(v). Find the first derivative of i(a) wrt a.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 10:21 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/4? (a) -0.2 (b) -0.3 (c) 2 (d) -245 (e) -0.077\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 1 - 2*x**2 + 5*x**3 + 4*x + x**4 - 6*x + 0*x**2 to the form a + t*x**3 + n*x**4 + r*x**2 + g*x and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15799 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -50*k + 8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40877, 163571, 368057, 654335, 1022405, 1472267, 2003921?\nAnswer: 2617367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 11*m**2 - 12*m + 13. Let r be s(-12). Let g = r + 107. Let h be g\/25 - (-1)\/5. Solve h = -0*a + a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, -5, -741 in increasing order.\nAnswer: -741, -6, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 173746 - 4761 = -y, -y - 7 = 0. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1423 + -17153\/12. Find the common denominator of f and 23\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -246 - -249. Suppose 5*i = d*i + 14. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.07 and -0.4596.\nAnswer: -0.3896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j + 0*j - 5*j**3 + 0*j**3 + j**3 + 3*j**3 + (-j**2 - 2*j + 2*j)*(0*j - j + 3*j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 3*v. Suppose d = v*d - 12. Suppose -d*k + 4*p + 20 = 0, -k - 4*k = -2*p - 31. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554 is divided by 310.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a = o + 11, 0 = 3*a - 4*o + 7. Suppose -7*k + 4 = -a*k. Let p = 16 + -63\/4. Is p less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51499692*x**4 + 27738425*x**2 wrt x?\nAnswer: 1235992608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fxzx when four letters picked without replacement from xxzf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18636 = -j. Suppose -10*g + 781 = -j. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nvko when four letters picked without replacement from okvvkrnn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.6942871 to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/192 and 107\/240?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = 24*r - 59. Sort 1, r, -93, 4 in increasing order.\nAnswer: -93, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 3*r + 3*s - 38, -3*r - 89 = -5*s. Let g be -4 + -1 + r\/(-4). Which is the second smallest value? (a) g (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 429*p - 440*p + 231 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 7*t**2\/2 + 15*t - 9. What are the prime factors of n(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 927463.2 litres to millilitres.\nAnswer: 927463200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*u - 146 = 16, 5*u = -2*o - 101. Calculate the remainder when o\/(11\/(66\/(-12))) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1030210 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-1))**41\/(m\/(m*m**(-2\/5)))**(12\/7))**(-15\/8))**(1\/46) assuming m is positive.\nAnswer: m**(4377\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 146752 or 146753?\nAnswer: 146752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y - 5*y + 0*y. Let f(j) = 1 + j**2 - 2*j + 3*j + 0*j. Let z(t) = -8*t**2 - 9*t - 9. Let v(k) = -18*f(k) - 2*z(k). Calculate d(v(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5405 - -27648?\nAnswer: 22243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 8) in base 6?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 6:48 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + w + 8 = 0, 3*h - 2*w + 4 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1224*a + 4892. What is g(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.05319445 to two dps.\nAnswer: 4.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*-1447.\nAnswer: -173.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 8*y + 13. Let v(g) = -8*g + 1. Let d be v(-1). Give p(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-7))\/(1055\/(-105) + 10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*f**5 + 0 + f - 2\/3*f**3 - 4\/3*f**2 + 4\/3*f**4 = 0. What is f?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21723700908829 and -6?\nAnswer: 21723700908835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, g: 5}. Give prob of sequence gg.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhh. Give prob of sequence hh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*g, -y - 90305*g = -90304*g - 1 - 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.51 * 3.236517\nAnswer: 1.65062367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3516 divided by 3.\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 9*i - 1103. What is n(-29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -424 - 13?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(-1)\/2*0. Is 11 a factor of (66 + o)*16\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -645 - -406. Let i = y - -524. Let h = -285.000000259 + i. What is h rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4599\/(-273) + 17)\/5 - (-4924)\/520.\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*i + 47 + 569 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(6*sqrt(17))**2 - sqrt(17) - (sqrt(119)*-2)\/sqrt(7)) + ((-2*1*sqrt(17))**2 - (sqrt(1700)*1)**2).\nAnswer: sqrt(17) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(68) + sqrt(68) + (sqrt(68) - (sqrt(68) - (sqrt(68) + (sqrt(68) - -6*(sqrt(68) - -1*sqrt(68)))))))\/((2*sqrt(2800))\/(sqrt(77)\/sqrt(176))).\nAnswer: 3*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - o + 2092 - 2134.\nAnswer: o - 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 + ((-1976)\/80)\/(-13).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3673447, 3673446, 3673445, 3673444?\n\"Answer: -b + 3673448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*l*s - 2*f*s**2 + 16*l**3*s**2 - l**3*s + 7*l**2*s wrt s?\nAnswer: -4*f + 32*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 - (-9 - -11) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 31 + 10*b**2 + 15*b**2 + 15*b - 26*b**2. Is a(13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*a**3\/5 + 1299*a**2 - 33783*a\/5 + 1608 = 0. What is a?\nAnswer: 1\/4, 5, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 15*a**2 - 36*a + 26. Calculate w(-11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1399 - 1397 + 3*c - 8*c to the form x + i*c and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = -1. Let y(i) = 15*i + 373. Let a be y(-12). Suppose t*g + 19 - a = 0. List the prime factors of g.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 10\/9 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 14 = -w, -5*w + 4*d + 0 = -7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m + 33*m**2 + 2*m**3 + 27*m**2 - 58*m**2 + 2. Let i(a) = -4*a**3 - 5*a**2 - 5*a - 5. Calculate 2*i(h) + 5*k(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-1 - 0) + 6. Suppose -62 = -2*x + r, f*x = -x + 2*r + 155. Suppose 3*m - x - 2 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55047*z + 9512*z + 15711*z - 49838*z.\nAnswer: -79662*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4\/7 + 520*p**3\/7 - 34316*p**2\/7 + 67080*p\/7 - 33282\/7 = 0. Calculate p.\nAnswer: 1, 129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/5))\/m)**0*m*m**(-7)*m**(-6)*m**6\/(m*(m\/(m*m**(1\/6)*m))\/m)*m**(-5)*m\/((m\/(m\/(m**(1\/3)*m)))\/m) assuming m is positive.\nAnswer: m**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 118b8 (base 12) to base 6.\nAnswer: 301552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r = -29*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxau when four letters picked without replacement from auaunx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**2 + r**3 + 4*r**2 + (2*r**2 + 1 - 1)*(-r + 4*r - 2*r) + (359*r - 1551*r + 591*r)*(16 + 3*r**2 - 16).\nAnswer: -1800*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2912*u - 11308. Give s(4).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**2*k**3 - 1507*c**2*k**2 - 292*c**2 + 13*c + 2*k with respect to k.\nAnswer: 3*c**2*k**2 - 3014*c**2*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 136727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/(-9)*(-60)\/(-50)*6. Let c(v) be the third derivative of 0*v + 0 - 6*v**2 + 1\/4*v**u - 1\/2*v**3. Differentiate c(d) wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19\/267 - -2746\/72357. Is j at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*w**4 + 1391608*w**3 + 33*w - 162599?\nAnswer: -156*w**2 + 8349648*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-1 + -5) - (1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, t: 11, i: 2}. What is prob of picking 2 t?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q - 10*q**2 - 4*q. Let v(y) = -34 + y**2 + 34. Determine v(b(t)).\nAnswer: 100*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -105 - -116.2. Let q = r + -15.2. Put 0.3, q, 0 in decreasing order.\nAnswer: 0.3, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(25\/4))**(-7))**(-31\/2))**16)**(-14\/3) assuming z is positive.\nAnswer: z**(-176204\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-27)*((-774)\/(-4515))\/((-1)\/(63\/6))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:07 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3*s**3 + 3*k**3*s**2 - 12*k**3*s - 648*k**3 + 26401*k**2*s**3 + s**2 wrt s?\nAnswer: 12*k**3 + 158406*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3560 (base 7) to base 14\nAnswer: -6a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -112.25 and 395785.2?\nAnswer: 395897.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -26 (c) 1 (d) 0 (e) -6436 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/6 + (-14)\/(-4). Factor r**2 - k - r**5 + 4 + 3*r**3 + 0*r**2 - r**4 - 2*r.\nAnswer: -r*(r - 1)**2*(r + 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 273687, 1095388, 2464889, 4382190, 6847291?\nAnswer: 9860192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, e: 4}. Give prob of sequence jej.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*n - 10, n - 2*l + 20 = 3*l. Suppose v = n*v. Factor 0*g - 1\/6*g**2 + v + 0*g**3 + 1\/6*g**4.\nAnswer: g**2*(g - 1)*(g + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**3 + 19*i**2 + 23*i + 5. Let f(x) = -6*x**3 - 12*x**2 - 15*x - 3. Give -8*f(s) - 5*o(s).\nAnswer: 3*s**3 + s**2 + 5*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3 = -5*t + 12, 2*y + 1 = -t. Is 1 + 48 + (t - 2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 46*h**2 - 92*h - 3. Let v be t(2). Solve -5*g - 2*s + 19 = -6*s, 2 = -g - v*s for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = x + 5, -2*a + 29 = 2*a - x. Let q = -784 + 788. Let j = a + q. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(-2)\/u*u)\/u*u*u**(-1))\/(u**(3\/8)\/(u**(-4)*u)) assuming u is positive.\nAnswer: u**(-43\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -867815*d**3 - d**2*s**3 - 169*d - 458*s**3 wrt d?\nAnswer: -5206890*d - 2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15 + 8. Let y = -7 - n. Suppose 5 + 40 = 2*b - t, y = t + 1. List the prime factors of b.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 - 2)\/((3\/4)\/(-3)). Suppose 11*y - 12*y + t = 0. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 63 - (38 - 28 - -2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -796547, -1593058, -2389569, -3186080, -3982591?\nAnswer: -4779102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3 - 1 = k, 0 = 2*k - 8. Let z be t\/3 - (-5)\/((-405)\/(-24)). Is 0 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25575 - -25572. Put -4, 0.2, -176, t in ascending order.\nAnswer: -176, -4, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 10) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkhehhndbnnkneeke. Give prob of sequence ke.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (54 + 8 + -88)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 291105 bigger than 291104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-3)*(-48)\/(-2). Let j(l) = -l**3 + 8*l**2 + 2*l - 10. Let u be j(w). Let a be 20\/u + (-36)\/(-54). Solve 2*t - 26 = -4*v, t + 3*t = 4*v + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2239195 to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -524114232 (base 6) in base 3?\nAnswer: -122020002202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*c**4 + 46*c**2 - 18*c + 597601.\nAnswer: -200*c**3 + 92*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2390 and 360?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 + 57. Suppose 2*q = 46 + k. Suppose 18 - 75 = -3*t. Calculate the remainder when q is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 10) to base 11.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*a + 48 - 16. Suppose -6*q + a*q = -264. Suppose p - 2*p = -23. Calculate the remainder when q is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 divided by 6465.\nAnswer: 64\/6465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 11*g**2 - 480403597*g + 480403594*g.\nAnswer: 10*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in -3, -2\/3, -4, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.751 - -4.801. Let h(t) = 2*t. Let u be (1\/(-3))\/((-3)\/(-9)). Let v be h(u). Sort 0.5, j, v in decreasing order.\nAnswer: 0.5, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 - 5*n + 1. Let m be (4 + 0)\/(1 - -1). Let s be r(m). What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74130 = 630*n - 1078*n - 2023*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 112207383?\nAnswer: -112207388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 14*t**2 - 15*t - 1. Let u be i(-15). Let j = 10 + u. Let w(l) = l**3 + 5*l**2 + 3*l. Calculate the remainder when j is divided by w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -4, 6, 9.9, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4422330 divided by 491370.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 703 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/5))\/((q*q**(-2\/3))\/q))\/(q*q\/(q\/(q\/(q*(q\/(q**(2\/5)*q))\/q)*q))*q**(-2)) assuming q is positive.\nAnswer: q**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/36 and -1\/116.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 340\/2261*19*7\/(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -47*c**2 + 11494*c - 11494. Determine s(1).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 4*y**2 - 2*y**2. Let z(q) = q - 1. Let f(d) = -3*d - 4. Let v(h) = -f(h) + 4*z(h). Give v(u(t)).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3838*s - 4493*s + 703*s - 2394*s)*(s**2 + 2*s**2 - 2*s**2)*(-s - 4*s + 4*s) + s**2 - s**4 - s**2.\nAnswer: 10021*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - z - 16 = 2*q, -q = 2*z - 8. What is the greatest common divisor of 72 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 26*l - 24. Let s be k(27). Suppose -3*p - 4 = -5*y, 3*y - 6*y = 4*p - 14. Solve -s*x + p = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2531015, 5062104, 7593193, 10124282, 12655371, 15186460?\n\"Answer: 2531089*x - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98333\/44520 + -3\/7420. Let m = -1682 + 10061\/6. Calculate the common denominator of y and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*y - 2879 + 1280 = 968 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - (13 - (-4 + 9)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 30. Find h such that 145*h**5 + 318*h**2 - 456*h**j + 20*h**5 + 150*h**5 - 31 + 7 - 513*h**3 + 36*h = 0.\nAnswer: -1, -2\/7, 1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**6\/720 + n**5\/8 - n**4\/3 + 4*n. Let x(k) be the third derivative of q(k). What is the derivative of x(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 15, 11, 5, -3, -13, -25?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -242.9272 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*p**3 + 9*p**2 - 2 - 24*p**2.\nAnswer: 4*p**3 - 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -2*(sqrt(637) - 5*sqrt(637)).\nAnswer: 4 + 56*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5005478 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 10:33 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1926*t**2 - 6057*t**2 + 2222*t**2 + 2175*t**2.\nAnswer: 266*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2 + u + 18. Let o(s) = -s**2 - s - 8. Calculate -3*c(v) - 7*o(v).\nAnswer: v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -251, -402, -665, -1046, -1551, -2186, -2957, -3870?\n\"Answer: -n**3 - 50*n**2 + 6*n - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -4\/9 (b) 83 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 16*p - 8*p - 1 to g*p + y and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gangfcra.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*k + j, -767*k = -766*k + 6*j - 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6527803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*j + 4*j - j**2)*(-2 - 2 + 5) - 2*j**2 - 4*j**2 - j**2)*(-j + j**3 + j) + (-35*j**4 - 64*j**4 - 79*j**4)*(0*j - j + 3*j).\nAnswer: -364*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/5)*a*a**(-2\/9)*(a\/((a*a\/a**(-7\/2)*a*a)\/a))\/((a\/a**39)\/a) assuming a is positive.\nAnswer: a**(3121\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2111195.\nAnswer: 5, 422239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1970, 3665, 5390, 7145, 8930?\nAnswer: 10745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/(-5) + 331 + 2 is divided by 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567 = -t - 2*t - l, -l + 191 = t. Let u = t + -47. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5290 + 3950 = 0. Round x to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8678625 and 4\/347145.\nAnswer: 8678625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175)*2)**2*-6 - (sqrt(175) + sqrt(175)*-2)**2*5 - (5 + (sqrt(175) + (-3 + sqrt(175)*-2 - sqrt(175)))**2 + -5).\nAnswer: -5784 - 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-24))\/(2430\/(-12960))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -13815*r + 2. Let g(t) = -1018*t. What is g(k(o))?\nAnswer: 14063670*o - 2036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.052185 and 4.707.\nAnswer: -0.245634795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 37ba4 - -11?\nAnswer: 37bb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1448 (base 10) in base 15?\nAnswer: -668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 221 - -422?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2 - 1.6. Let v be (-2)\/3 - 6\/(-9). What is the nearest to v in u, -1, -1\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -19 + -65 - (17 + 6).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**4 - 102*s**3 + 782*s**2 + 16878*s - 74008 = 0?\nAnswer: -11, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6435 (base 8) to base 3.\nAnswer: -11121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -2\/11 (c) 1\/9 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14618, -14624, -14630, -14636?\n\"Answer: -6*i - 14612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -8*m - 9. Let v be m\/(-6)*(-48)\/9. Suppose -1284 = -v*t - 4*t. What are the prime factors of t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-51 + 51 + r**3)*(-1 + 4 - 2)*(-2 + 3 - 4) in the form y + a*r + t*r**3 + v*r**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 7 + 31. Let l be 40\/(-14)*21\/i. Solve -2*s = -2 + l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3 + 9*w**2 + 3*w**2 - w**2 + 12*w - 9*w**2. Let m be t(-10). Let b = m - 23. Does 12 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3518 - 0.0518. What is the nearest to -1\/3 in -4\/3, -1\/10, 1\/4, m?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f. Let t(m) = -m - 6. Let o be t(-8). Let p(n) = -n - 2*n + o*n - n. What is v(p(a))?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b235 (base 12) to base 11.\nAnswer: 130818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 441 - 186. Suppose 0 = -3*n + 3*z + s, 4*n + 6*z - 7*z = 346. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -352?\nAnswer: -352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.213105l?\nAnswer: 7213.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00768268867 rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 68759, 68760, 68761?\n\"Answer: n + 68758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 12540?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 82b + -5?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-7) - ((-30012)\/(-427) + -72). Find l, given that f*l**4 + 0 + 8\/7*l - 40\/7*l**2 + 2*l**3 = 0.\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 6*u - 4*u + 72, 2*x - 36 = -3*u. Suppose b - 5*t = -x, -3*b + 16 = b + 2*t. Solve 3*z + b*z + 20 = -4*y, z + 4 = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 3\/8, -77, 11, -40, 2?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h + 13*h + 13 = -s, 0 = -5*s - 2*h + 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 557, 852, 1329, 2000, 2877, 3972?\n\"Answer: 2*w**3 + 79*w**2 + 44*w + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 3. Let t(u) = -2 + 4 + 0 - 1 - 3*u. Let r be t(a). Are 0 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 183 - 215 - -16 - (4 - 0 - -1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 525003361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 3. Let u(s) = 4*s**2 + 32*s + 24. Let m be u(-7). Let x be 2\/m*(-8 - -1 - 1). Let k(v) = 2*v**2 + 3. Determine x*r(q) - 3*k(q).\nAnswer: 2*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2060 + 22618*f + 2060 - 22625*f.\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4670.141 + -4656. What is v rounded to 1 dp?\nAnswer: 14.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3544 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/(-70)*5)\/(4\/140) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-9) + (-40)\/(-18). Suppose -3*a + 16 = -2*n, -21 = -3*a + 3*n - 6*n. Let t be 2*(-2)\/4 + a. Solve -2*y = t*q - 30, -8 = -4*y + q + w*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*m**2 - 1431\/2 + 2859\/4*m.\nAnswer: 3*(m - 1)*(m + 954)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1819372458 to the nearest integer?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558021 - 558021 + 350*t**3.\nAnswer: 350*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/48)\/(3\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -21, -2 in descending order.\nAnswer: 2, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 0*c**3 - 1\/14*c**4 + 2\/35*c**5 + 0*c**2 - 48 + 0*c. Factor g(o).\nAnswer: 2*o**3*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(-2*x - 2*x + 2*x) + (0*x + 2*x - x)*(-2 - 15 + 2).\nAnswer: -17*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = n + 3*p - 45, 5*n + 3*p - 203 = 0. Suppose -m + n = 3*m. Let v = 54 + -24. Calculate the highest common factor of v and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 - 5\/3*a**3 + 0*a**4 + 0*a + 0*a**5 - 7\/60*a**6 - 29*a**2. Differentiate b(j) wrt j.\nAnswer: -42*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28.572 + -28.19. What is f rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/12 and -125\/5178.\nAnswer: 10356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.2676.\nAnswer: 0.10704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 3*i + 4*i**2 + (-1 + 1 + i)*(4*i + 0*i - 3*i) + 3*i + i**2 - 3*i + 5*i**2 + 2*i**2 - i**2)*(2 - 2 - 5)*(12 - 11 - 4).\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z + 5*k - 2 = 4*z, 3*z - 2*k + 5 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 143, 308, 539, 836?\nAnswer: 1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 - 803 = -9*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83.8, -32, -0.4 in descending order.\nAnswer: -0.4, -32, -83.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f - 7 = 0, 3*l - 2*f + 6*f + 15 = 0. Which is greater: l or -10\/53?\nAnswer: -10\/53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011 - -11011?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6182 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4848510, 9697073, 14545636, 19394199?\nAnswer: 24242762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 173630 and 55490.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 152 + 80*w**2 - 93*w**2 + 16*w**2 + 2*w**3 to z*w + r*w**3 + a*w**2 + y and give y.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 270 - -164557?\nAnswer: 164817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + g + 1. Let a(c) = -8*c**3 - 6*c**2 - 97*c - 149. Let f(b) = a(b) + 5*n(b). Factor f(p).\nAnswer: 2*(p - 9)*(p + 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105636116489 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -346, -1421, -3204, -5689, -8870, -12741, -17296, -22529?\n\"Answer: v**3 - 360*v**2 - 2*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = -3*t + 3*h - 5, -5*t = -4*h - 41. Suppose 3*c - 5*c = -44. Suppose -449*v + c = -448*v. Calculate the remainder when v is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-56*i**3 + 46*i**3 - 28*i**3)*(42 + 29 - 28) as j + m*i**3 + r*i**2 + n*i and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 56*x - 110. Let t be j(2). Let y(r) be the second derivative of 0*r**t + 0 - 2\/5*r**3 - 7*r - 1\/30*r**4. Solve y(o) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 960\/(-90)*3746*15\/(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 233678132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -25*y**2. Let c(n) = -2*n. Calculate d(c(p)).\nAnswer: -100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 1 + 2. Solve 17 = v*w + 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 0.005.\nAnswer: 0.505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/24 and (442\/117 - 4)\/((-56)\/222)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3.061?\nAnswer: 0.6122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 931 + 1016. What is the greatest common factor of 59 and o?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 440803 - 120.\nAnswer: 440683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*j**2 - j + j)*(93 - 93 - 10*j) + 2*j**3 - 3*j**3 + 7*j**3 + 0*j**2 - 3*j**3 + 0*j**2 to the form f + y*j**2 + q*j**3 + b*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4185687857 to the nearest integer?\nAnswer: 64697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + 13 + (96\/21 - 1)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 11*b**2 + 7*b + 3. Let r(s) = -12*s**2 - 6*s - 3. Let v(g) = -3*f(g) - 4*r(g). Let u be v(-1). Solve u = 5*l - 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68741462 is divided by 9820208.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 + 1. Suppose 0*f = -f - 2*f. Suppose 3*n - 2*n + 15 = f. Let t = -17 - n. Let w(g) = 2*g**2 - 3. What is t*w(p) - 6*m(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -55723, -55631, -55539, -55447?\n\"Answer: 92*m - 55815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven thirds of a century?\nAnswer: 26800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 111*m**4 + m - 222*m**4 + 115*m**4 + (-m**3 - 3*m + 3*m)*(2*m - 5*m + 4*m) in the form r + o*m + t*m**4 + s*m**3 + y*m**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5504465 - 3?\nAnswer: -5504501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 23*i + 9. What is z(10)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -899.2608 smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684*x**3 + 2*x - 4*x + 2*x.\nAnswer: 684*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -1\/30*j**5 - 1\/6*j**3 - 12*j - 3*j**2 + 0 - 1\/12*j**4. Calculate f(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 28 = 23*p + 28. Let r be 1\/(-3) + 19\/3. Let z(i) = -r + 6 - i + p*i. Let h(s) = -7*s**2. What is h(z(d))?\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6640, -6628, -6600, -6550, -6472, -6360?\nAnswer: -6208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -6. What is the greatest common divisor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d35d41 (base 15) to base 10\nAnswer: -10043611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-272)\/102*(-27)\/12. Suppose -5*c - 4*z + 12 = 0, 10 = -c - 4*z + o. Solve -c*u = 4*u + 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of 30*w + 29\/6*w**3 + 0*w**2 - 67\/12*w**4 - 2. What is the second derivative of i(z) wrt z?\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13082.\nAnswer: 2, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9\/28 + -1\/14. Let s = 170 + -116. Let m be s\/21 - 9\/3. Which is the closest to y? (a) -0.3 (b) m (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**6\/12 - 23*n**5\/30 - 41*n**2. Find the third derivative of x(p) wrt p.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*g + 3*p - 2*p, 5*g + 3*p = 13. Suppose -2*r - q = -137 - 41, 0 = -g*q + 10. Calculate the common denominator of 8\/r + (-3)\/(-1) and 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14775792 and -0.08?\nAnswer: -1182063.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 64*h = 210. Solve m - h*m = 56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = -7*u - 112. Let t(q) = -u + 133*q - 14 + 28. Let d(r) = -r**2. Determine t(d(j)).\nAnswer: -133*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4550728 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12362132 (base 9) to base 6\nAnswer: 333545432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 23*k = 60. Suppose -5 - 5 = -5*g. Put 1, -1, g, k in decreasing order.\nAnswer: k, g, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + q - 46 + 51, 3*q - 21 = 0. Let x(c) = -2*c**2 - 2*c - 1. Determine x(u).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 4. Let f be u(-3). Let d = 9 + f. Calculate the highest common factor of 40 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-1*4\/8 - 0). What is the units digit of d*(4\/(-22) + (-65)\/(-55))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8168, 13887, 19606, 25325, 31044?\nAnswer: 36763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 7*m - 5*m. Suppose -4*u - 9 + m = 0. Solve 0 = u*c - 2*f + 1 - 6, 3 = 3*c - 3*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 2*q - 56, -48 = -k + 5*q - 16. Suppose 5*s - 20 = 2*w, 5*w + 3*s - k = -0*s. Solve 1\/5*p**3 + w*p**2 - 1\/5*p + 0 = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n + 1. Let m be i(0). Calculate the remainder when 27 is divided by (-1 - -8) + 2 + m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f*m*w**6 + 2*f*m*w**2 - f*m*w + 20412*m*w**5 + 9145*m*w**2 + 3*m*w wrt w.\nAnswer: -360*f*m*w**3 + 1224720*m*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*y + 3, -5*i + 3*y = 2 - 63. Let u be 3324\/i - 6\/33. Is 18\/42 + u\/14 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4368*p**2 + 25*p - 5. Let t(o) = 4371*o**2 + 30*o - 6. What is 5*t(g) - 6*w(g)?\nAnswer: -4353*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 610 = 2*v. Suppose -w + 9 - 19 = 0. Let f(o) = -o + 21. What is the remainder when v is divided by f(w)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c**16)**(3\/16) assuming c is positive.\nAnswer: c**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 853*z + 185*z - 3*z**2 + 163 - 165 - 88*z in the form k*z + h*z**2 + t and give k.\nAnswer: 950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-6 + 51\/9). Factor -1\/3*v**3 - 2\/3 + i*v + 2\/3*v**2.\nAnswer: -(v - 2)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-5236)\/(-3927)*(-2)\/688).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 649 + 188 = -75 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h = -13. Let g = h - 51\/4. Suppose 16 = 4*c + 2*r, -1 = -3*c + 4*r - 0. Sort c, -3, g in descending order.\nAnswer: c, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3179, -1, -2\/25, 2\/3, -0.1.\nAnswer: -1, -0.1, -2\/25, 2\/3, 3179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/50 + 4*t**4\/15 - 3*t + 3. Factor c(q).\nAnswer: -2*q**2*(q - 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/49 or 3\/425?\nAnswer: 3\/425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -3. Let a = -82.29 - -81.29. Put b, -0.5, a, 3 in descending order.\nAnswer: 3, -0.5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r - 64. Let h(m) = 8*m + 84. Let s be h(-10). Calculate the highest common factor of s and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*u = -558619 + 567442 for u.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*14.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, h: 5, w: 1, j: 1, l: 3}. What is prob of sequence jlwl?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-36))\/(2\/9) - -8. Solve d = -3*f + n, -3*f + 7 = 2*d - 2*f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t + 15 = 0, 5*i = 2*t + 50. Factor -11*z**5 + z**4 + i*z**5 + z**4 + z**3.\nAnswer: z**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4*t = -256. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11741*p**3 + 20*p**2 + 407*p wrt p.\nAnswer: 70446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2*s - 159. Let l be -3 - (1113\/12 + (-6)\/8). Let y = s - l. What is the greatest common factor of 42 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2595783664 + -2428845065.9. Let v = 166938684.1000057 - t. Let y = -86 + v. What is y rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3 - 2154*n**2 - 1546572*n - 1315. Find t, given that s(t) = 0.\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1\/7 - 43\/((-1806)\/9276)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291501\/29 at least as big as 216947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 461 and 152169185?\nAnswer: 152169185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2800)*-1 - sqrt(2800) - sqrt(28) - (sqrt(2268) + sqrt(2268)*3 - sqrt(2268)))\/((sqrt(72)\/(-2*sqrt(9)))\/(sqrt(24)\/(sqrt(12)*2) - sqrt(2))))**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -13013408\nAnswer: 65067040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 6469391.95 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*g**2*k**3*p**2 + 16*g**2*k**2 - 37*g**2*k*p + 4*g*k**2*p**3 + 34*k**3*p**3 wrt k?\nAnswer: 606*g**2*p**2 + 204*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g + 40. Let z(i) = -15*i + 110. Let l(r) = 22*w(r) - 8*z(r). Let p(s) = 53*s**2. Give p(l(y)).\nAnswer: 5300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -34*c - 1. Let r(y) = -1 - 29*y - 2 - 38*y. Let n(v) = -5*q(v) + 2*r(v). Does 13 divide n(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1814229 is divided by 604731.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29211?\nAnswer: 3, 7, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (280*g + 328*g + 7 - 328*g - 6)*(18 - 18 - 15*g)*(6*g**2 - 6*g**2 - 4*g**3).\nAnswer: 16800*g**5 + 60*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*x + 862 + 551 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/79)\/t**(-17)*(t**(-4\/7)\/t*t)**(-4\/13) assuming t is positive.\nAnswer: t**(123295\/7189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k**4\/13 + 116*k**3\/13 - 646*k**2\/13 + 776*k\/13 + 840\/13 = 0. What is k?\nAnswer: -2\/3, 3, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5\/6)*((k\/k**(1\/3))\/k)\/k)\/(((k\/(k\/k**(-2\/5))*k)\/k)\/k)**(-5))**(-1\/8) assuming k is positive.\nAnswer: k**(55\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 11:50 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.133 + 1.627. Let k = t - 1.75943. What is k rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 - 5. Let b = 3.3 - l. Let o = -5 + b. Sort o, -5, 1 in descending order.\nAnswer: 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(12)\/sqrt(6)*3 - (sqrt(2) + -2 + 3)))**2 - ((sqrt(128)*1 + sqrt(6)\/sqrt(3) + -1)*3)**2*2.\nAnswer: -2853 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 - (0 - (-3 - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11311 + 11310.8. Which is the nearest to 16? (a) -0.03 (b) 2\/11 (c) -2\/3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 22\/55 + 78\/5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2701 + 2?\nAnswer: -26bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 + -643a?\nAnswer: -6434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/8)\/(((-6)\/2)\/(-3)). Sort -46, l, 4.\nAnswer: -46, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*h + 23 = 0, 3*p + h + 16 = 2*h. Let t = 9 + p. Suppose -3*q - q - 7 = 3*s, -t*s = 20. Calculate the lowest common multiple of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -196*i**3 - 7*i**2 - i + 20434?\nAnswer: -588*i**2 - 14*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 3*a + 0*a)*(0*a - 3*a + a) - 2*a + 2*a + 2*a**2 - 15*a + (2*a - 3*a - a)*(4 - 4 - a) + a**2 + 0*a**2 + a**2 - 4*a + 2*a**2 + 4*a.\nAnswer: 6*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 513 and 4204985?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2648\/(-12) + 1)*-3. Let i = u - 24. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + -6 + 11 - -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggghhggghgghg. What is prob of picking 2 g and 2 h?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 2*i**2 - 20*i**2.\nAnswer: -27*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(3 + 0)*5. Suppose -g*f + 34 + 51 = 0. Suppose -53 = -4*n - f. Calculate the remainder when 78 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v**3 + 29*v. Suppose 3*l + 85 = 91. Let c(s) = s**3 + s. Let w(t) = l*a(t) - 14*c(t). Find the second derivative of w(r) wrt r.\nAnswer: -288*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/20 - 18\/120. What is the third biggest value in 0.03, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m - 3466 + 3466.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*j - 98*j - 2123 + 2122 to q + m*j and give m.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**1\/h)\/h)\/h)\/(h\/((h**14\/h)\/h)))\/(((h*h\/(h*h*((h*h*(h**1\/h*h)\/h*h*h)\/h)\/h*h))\/h)\/(h*h\/h**(-5\/2)*h)))**(15\/7) assuming h is positive.\nAnswer: h**(555\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45441 and 257094?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -21, -12, -2, 776, 3 in descending order.\nAnswer: 776, 6, 5, 3, -2, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*z - 4 = 75*z. Suppose -2*b - o + 24 = 0, z = -6*b + 7*b + 3*o. Suppose -5*t = -0*t - 270. What is the least common multiple of t and b?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1379 less than -111?\nAnswer: -110.8621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -100. Calculate the remainder when 183 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/16030 and -9\/490.\nAnswer: 112210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**5 - 80*y**4 + 480*y**3 - 1280*y**2 + 1280*y.\nAnswer: 5*y*(y - 4)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 1. Let p be v(-4). What is the remainder when 7 is divided by ((-4)\/p)\/((-8)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 10*c + 15. Let d(j) be the first derivative of 1\/3*j**c + 0*j**2 + 6*j - 2. What is the derivative of d(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(144\/(-21))*90\/(-21).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 3\/137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1136 + -680?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/55 and 1 + 2 + -5 + (-51)\/18?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32*r + 48639 + 4*r**2 - 48280 - 7*r**2 wrt r.\nAnswer: -6*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -0.011, 947 in decreasing order.\nAnswer: 947, -0.011, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 - 15*d**3 + 170*d**2 - 240*d.\nAnswer: -5*d*(d - 3)*(d - 2)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + y + 5. Let g(l) = -l**3 - 4*l**2 - 2*l - 4. Let t be g(-3). List the prime factors of i(t).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115 divided by 35282.\nAnswer: 5\/1534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 26.84\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0.2, 0 in descending order.\nAnswer: 0.2, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6034624 (base 8) to base 13.\nAnswer: 437815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*1\/(6\/4). Let p(x) = -7*x - 3*x - x**3 + 5 + 0*x + 12*x**2 - 4*x**f. What is the tens digit of p(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 5. Suppose -3*g + x = -5. What is the smallest common multiple of 11 and g?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*(3 + -1). Suppose -3*a + v - 11 = 0. Let q(m) be the first derivative of m**3\/3 - m**2 - m - 3574. Calculate q(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5079060*p**4 + 13*p**2 - 986*p + 10?\nAnswer: -121897440*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4 = -6*d, 306 = 2*b + 3*d. Let l(s) = -s - b - 144 + 293. Give l(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -40, 4 in decreasing order.\nAnswer: 4, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11188\/36 + -1 - (-2)\/9. Suppose 0 = -w - 2*k + 304, w = -5*k + 9*k + s. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 900, 905, 910, 915?\n\"Answer: 5*h + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 30.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -421*r - 36618. Give v(-87).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(72) + (sqrt(72)*3*-1 + sqrt(72))**2 + -1 + -4.\nAnswer: 6*sqrt(2) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*((-2*t + 5*t - t)*(2*t - t + 4*t) - t**2 + 0*t**2 + 4*t**2).\nAnswer: -26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 177.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m - 1005 + 948 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6407079 a multiple of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 21 = -z, -5*z + z + 4*b = -4. Let v be ((-27)\/z)\/(0 - -3). Which is bigger: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 10277901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1319116, -1319113, -1319110, -1319107, -1319104, -1319101?\nAnswer: -1319098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Suppose 2*w = 2*k + 6, -4*w + j*k = -11 - 6. Calculate the remainder when 29 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*r - 40320, r - 5536 = -5*a + 7912. List the prime factors of r.\nAnswer: 2, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + g - 6*g. Let i(x) = -4*x + 6. Let d(m) = -21*m + 28. Let l(w) = 3*d(w) - 14*i(w). Calculate r(l(n)).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*j**2 - 3*j**2 + 4*j**3 + (281*j + 31*j**2 - 281*j)*(2*j + 0 + 0).\nAnswer: 66*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954\/8803 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -146857 and 1.123.\nAnswer: -146855.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -410 - -1501. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 204. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, -3189, -4, 9 in descending order.\nAnswer: 9, 1, 0, -2, -4, -3189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -567623 and 0?\nAnswer: 567623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwwiitwnznziiziznqzt. Give prob of picking 1 w and 1 z.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/15)\/(28\/42). Which is greater: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*m + 11*m**2 - 108*m)*(2*m + 0*m - 6*m)*(6 - 1 - 3)*(-2*m + 0*m + m).\nAnswer: 88*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11427*k*p**2*s - 24*p**2 - 47*p - 2*s - 1 with respect to k.\nAnswer: -11427*p**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3 = -23. Suppose -17 = -w - 0*s + r*s, -2*w - 2*s + 70 = 0. Let c = 6232 - 6227. Calculate the remainder when w is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -11756*u + 58774. Determine q(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w. Let j(i) = -i. Let b(o) = -5*j(o) - 2*y(o). Let c(z) = 15*z**2 - 7559976 + 7559976. Calculate b(c(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 892286109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/64 and 131\/42543480.\nAnswer: 340347840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*u - 3. Let k = u - -11. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by 93\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 510*b. Let u be l(2). Suppose -y + 3 = -2, -4*y + u = 5*a. Let r = a + 107. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1155220*l - 1154113*l + 136161 = 0 for l.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + o + 3596 = 0, g - 4*o = 1293 - 98. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r**3\/3 - 3832*r**2 - 501642*r - 272484 = 0. What is r?\nAnswer: -261, -6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2581 - -2581.5. What is the smallest value in n, -332, 5?\nAnswer: -332","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2383 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -28. Suppose -4*j - f + 231 + z = 0, -j - f = -68. List the prime factors of j.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17)\/(1*(-1)\/10). Let j = 471 - w. Is 40 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.47152 - -0.4697266. What is z rounded to 5 decimal places?\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1973937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-18)\/63 - 46\/(-14). Suppose -3 = -2*a + i, 4*c - 4*a = 0. Suppose 2 = c*q - 37. What is the remainder when 48 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1512 + -1471. Calculate the remainder when 138 is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:19 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12182?\nAnswer: 2, 6091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 + p**2 - p - 13. Calculate x(4).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -55, -96, -153, -232, -339, -480, -661?\n\"Answer: -w**3 - 2*w**2 - 28*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*s**5 - 8207*s**4 - 31059*s**3 - 36013*s**2 - 11282*s + 1800 = 0.\nAnswer: -100, -2, -1, 9\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*g + 21, -5*g - 20 = -5*v + 5. Is 16 a factor of (g\/3)\/((-12)\/378)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 2853852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-818)\/315 - (-2)\/7) + (-1971)\/1095 and 13\/9703.\nAnswer: 87327","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3791.571 centuries?\nAnswer: 37915.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 27*f**2 - 9. Let g(x) = -7*x**2 + 2. Let p(b) = 9*g(b) + 2*y(b). Let o = -233 - -247. Let w(t) = 6*t + 2*t - o*t + 5*t. Give p(w(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n - n - 5)*(3 + 0 - 1).\nAnswer: 4*n - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 14*g**3 + 30*g**3.\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3 - 2*g - 2*g**3 + 2*g**2 - 4 + 3*g**2 - g. Let r be z(4). Let p be 0*2\/6 - r*100. Round p to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -416b (base 12) to base 13.\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 7, p: 7, o: 2}. Give prob of sequence tl.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3422070 by 2.\nAnswer: -1711035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 991258847.\nAnswer: 991258847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -301.\nAnswer: 31\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 - 34\/(-10). Suppose -2*p + b*y = -60, 3*y - 2*y = 5*p - 163. Does 7 divide 22\/p - (-183)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*i - y - 22 = 137*i, -119 = -5*i - 4*y. Solve -5*r = 18 - i for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-18))\/(5 - 3357\/945). Which is smaller: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000074788917 rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*o - 4*o - 12 = 0, -3*a - 1 = 2*o. Let k = 13 + -6. Let c = -8 + k. Put c, a, 3 in decreasing order.\nAnswer: 3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -6 - 38. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.904 and -3254704849.\nAnswer: -3254704848.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 10, 4*w + 5*h = 5 + 1. Suppose u = 3*u - z - 4, -3*u - w*z + 6 = 0. Let k = u - 3. Let c(n) = 5*n**2 - 2*n - 1. Determine c(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.7144023 to one decimal place.\nAnswer: -60.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700977400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -520340 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert b08dc (base 15) to base 10.\nAnswer: 558882","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -755*m**3 + m - 9. Let n(s) = 189*s**3 + 2. What is -9*n(i) - 2*y(i)?\nAnswer: -191*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 24314954 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) 4 (c) -0.1 (d) 0.06 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from effefye. Give prob of picking 2 f and 2 e.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.3? (a) 5 (b) -2\/11 (c) -0.2 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10364 - 342053\/33. Calculate the common denominator of -77\/237 and h.\nAnswer: 2607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppiipiiiiiii. Give prob of sequence pp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(60\/3))\/(12\/(-50)*(-750)\/1575)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 + 7*s + 9. Let x(z) = -17*z**2 - 8 + 28*z**2 - 20*z**2 - 6*z. Let f(j) = 6*w(j) + 7*x(j). Differentiate f(g) with respect to g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19963487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = -0*i - 22*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.98. Let d = h + -0.12. Let i = 0.2 - 0.4. Is d less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**34*t\/(t**9\/t)*t\/(((t*t\/(t**(5\/3)\/t)*t)\/t*t)\/t)*t*t\/(t*t**(-28)) assuming t is positive.\nAnswer: t**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21399.\nAnswer: 3, 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 4*q - 2*q + (1 - 2 + 0)*(4 - q - 4) + 4*q + q - 4*q + (-2 - 4*q + 1 + 2*q)*(21379 - 4869 - 2893 + 28634) in the form k + g*q and give k.\nAnswer: -42251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -9) + 4 + -2 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -538 - -305. Let m = z + 233.0000005624. What is m rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23676 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyqqatytyuutyyy. Give prob of sequence ququ.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -5656117 rounded to the nearest one thousand?\nAnswer: -5656000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j, -4*m - 4*j = -7 - 1. Let y = 26\/11 - 167\/66. Is m < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 + 126.6. Does t = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -43. Solve 0 = -5*g + f - 14, 2*f + 2 = -j*f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 1 - 13 - 5 - 15. Let r be s(19). Let i be ((-3)\/(-2))\/(r\/(-1156)). What is the greatest common factor of i and 204?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -12*s**2 - 179*s + 22. What is g(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(45\/3)*(-11)\/((-110)\/(-20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.086 + 0.914. Which is the nearest to 0? (a) o (b) 1\/4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/7*(1610\/28)\/5?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(2) + 2)*5*-3)**2.\nAnswer: 780*sqrt(2) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*s - 384*s = -180 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 66458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u + 3*u + 2*u + u**2 - 5*u + 1. Suppose -3*y + o = -12 - 46, -2*o - 56 = -3*y. Suppose -4*k + 3 = 3*m - 19, -y = -3*k - 4*m. Determine g(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 58*f - 1096. Let u(s) = s - 3. Let l be u(5). Calculate the remainder when l\/6*(67 - 1) is divided by g(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 61. Let o be 6\/21 - s\/84. Which is the second smallest value? (a) -1 (b) 3 (c) 4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 + -2 + 4 - -2) + -5. Let q(o) = o**3 + 5*o**2 + 9*o + 4. Let m be q(g). What is the least common multiple of (-36)\/7*(40\/m + -1) and 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 - -1)*6\/3. Let l be (3 - x\/(-3))\/(-1). Is 0.2 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -1.44.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 9904 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + z = -77, -3*z + 191 = 5*f - 5*z. Let c = 46 - f. Let b be -6 + c + (3 - 1). Solve -w + 0*w + b = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7192342 is divided by 341.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**2 - 15*c**4 + 9*c**2 - 3*c - c**3 - 7*c**2 to the form o*c + a*c**3 + v + w*c**4 + j*c**2 and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2 = -0. Suppose m - 5 = -3*j. Let i(l) = -2*l + 0 - 3 + 2. What is i(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 121607.64 months?\nAnswer: 10133.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuu. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of 2*f**5\/15 - 11*f**4\/4 + 8*f**3\/3 - 22*f**2 + 1. Factor k(j).\nAnswer: 2*(j - 8)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567863942 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/7)\/(a\/(a\/a**(2\/7)*a))*a\/a**4*a*a\/a**(1\/4) assuming a is positive.\nAnswer: a**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 7e33?\nAnswer: 7e34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*a + 16 = -6, -a - 2 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9956 - -9980. Solve -y + 156 = 44*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/30 - 11\/10. Suppose -3*h - 17 = -2*t, -5*t + h = -0*h - 23. Calculate the common denominator of (9\/t)\/((-2)\/(-28)) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 756961 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + i = 4. Which is the third smallest value? (a) i (b) -3\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 68*p + 247, -4*z + 3*p + 9555 = 9563 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -21*p - 1. Let o(i) = 4*i. Let r(c) = -c**2 - 7*c - 4. Let b be r(-6). Suppose b*f = f + 2. Calculate f*k(u) + 11*o(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43648, 47180, 53066, 61306, 71900?\n\"Answer: 1177*w**2 + w + 42470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f - 3. Let h = f + 10. 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 next term in 10329, 10331, 10333, 10335, 10337, 10339?\nAnswer: 10341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171744, -343484, -515224, -686964, -858704?\nAnswer: -1030444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*6\/((-96)\/(-28)))\/(49210\/760)\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 9*t**3 - 2*t**2 - 15*t + 13. Let q(m) = -8*m**3 + 2*m**2 + 13*m - 12. Give 6*k(f) + 7*q(f).\nAnswer: -2*f**3 + 2*f**2 + f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2187918371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 + -5)) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, t: 2}. What is prob of sequence htht?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1679*w - 1679*w - 152*w**3)*(4*w**2 - 3*w**2 - 2*w**2) - 15*w**5 - 49 + 49.\nAnswer: 137*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229971 = 55*a - 100414. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2371320.\nAnswer: 2371320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 5*q - 7*q**3 + 2*q - 5. Let x(k) = 0*k**2 - 5 + 8*k + 0 + k**2 - 1. Let z be x(-9). Let g(f) = -4*f**3 - 3*f - 3. Give z*r(b) - 5*g(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 551.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10754 is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1012, 34\/39, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 3.2 (c) 3 (d) -0.2 (e) -5 (f) 1256\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -20*r + 183. Let l be k(9). Let p = -8 - -7. Does 8 divide 48\/(3 - (p + l))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-10 - 3 - -9 - -13) - -15) + 121\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -390518 and 0.014.\nAnswer: -5467.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18738, -37506, -56294, -75096, -93906, -112718, -131526?\nAnswer: -150324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 41*q**3 - 2710*q**2 + 261*q + 244. Determine j(66).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**8\/10080 + r**5\/60 - r**2. Let x(j) be the third derivative of m(j). Let a(o) = -33 + 20 + 13 - 3*o. Determine a(x(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*l**3*y + 7*j**3*l**3 + 16*j**2*y - 4*j*l**3 + 2*j + 3*l**3*y - 95*l**2*y wrt j.\nAnswer: 12*j*l**3*y + 42*j*l**3 + 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + -28. Let t = i + 173. Suppose 8*k - 11*k + t = 0. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 139 by 765.\nAnswer: 139\/765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b + 125*b - 14586 = -189*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 2*k + 51. Let c = 20 + k. Suppose -c = t - 11. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -278.661 - 0.\nAnswer: -278.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 18 = 3*d - 10*h, 0 = d - 2*h - 11. Solve -2*q + 3 = m + 7, 10 = 3*m - d*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -227*k - 40547 + 40093 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 279149 - 0.3492.\nAnswer: 279148.6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 8*x**2 - 8. Let h(d) = 2*d**2. Determine g(h(v)).\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -1078\/17*q**2 - 288120\/17*q + 4321800\/17 + 2\/17*q**4 + 196\/17*q**3 = 0.\nAnswer: -70, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1673507*s**2. Let p(o) = -13*o**2. Give g(p(y)).\nAnswer: 282822683*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 6 - 26 = 0. Solve 2*s - 4*s - f = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 120 - 86. Let j(t) = -40 - 13*t + h*t**2 + 6*t + 5*t + 2*t**3 + 10. Let l be j(-17). Solve -2*f + 2 = -l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/2, 0.2, 2\/135, -2\/5, 2\/3.\nAnswer: -1, -2\/5, 2\/135, 0.2, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 23 (b) -11 (c) 388 (d) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0) + 90\/(-3). Let r be ((-4)\/6)\/((-4)\/b). Sort 3, r, -3.\nAnswer: r, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1529120 to the nearest 10000.\nAnswer: -1530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8589 = 85*v - 64*v. What is the remainder when v is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*y = -53*y + 66 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -457 - -9599\/21. What is the third smallest value in y, -1\/15, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581 divided by 123?\nAnswer: 9581\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-2 + 5) - 10. Let c = -12 - h. What is the least common multiple of 22 and (-111)\/c - (-2)\/(-10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + 142\/4*4?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/32)\/(1\/(-4)). Sort v, 1, -16, 0 in descending order.\nAnswer: 1, 0, v, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7\/b)\/((b\/(b**8*b*b))\/b))\/(b*b**(3\/8)*b*b**(-2))*(((b*b\/b**(-6))\/b)\/b*b**(-11)\/b)**(2\/29) assuming b is positive.\nAnswer: b**(3529\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(429\/90))\/(5768\/15862)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-6))\/7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-21)*(20 - (189\/7 - 14)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-54) + 32\/18. Let m = -124 + 222. Suppose -m = -2*b - t*r - 3*r, 4*r - 211 = -5*b. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + 5 - (-6 + (0 - -1)). Suppose f*t - t + 8 = 0. Let r(h) = -h - 2. Let b be r(3). Is b at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 18*n + 6*n. Suppose 10018 = 4*s - 2*d, -n*d - 4 - 2 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 172\/(-3)*3\/2. Let t = -61 - j. Does 5 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -12*c**5 - 128*c**4 + 928*c**3 - 1536*c**2 + 64*c + 1024 = 0.\nAnswer: -16, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r, 6*r - r + 3 - 3 = 5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1723.\nAnswer: 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -415\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-19)\/342) - -1. Let k(p) = -p**3 + 6*p**2 + 2*p - 4. Let s be k(6). Suppose -3*i + i = -s. Put j, 3, i in decreasing order.\nAnswer: i, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 + 7*d.\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 299*w - 16824. Calculate v(75).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -231*h**2 + 91*h + 85. Is g(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*d - 2833 = 275*d - 9720 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 32. Calculate the common denominator of (204\/(-32) - -3) + m and -12 + 9 - (206\/12 - 1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/3 + 49*d**2\/3 - 50*d\/3 = 0.\nAnswer: -50, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*n - 14680 - 7896, -5*w + 56530 = 5*n. What are the prime factors of w?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1022 - -1032. What is the remainder when 161 is divided by (n\/4)\/((138\/132)\/23)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 4.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*p - 343 = 5*p + 11*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3681 is divided by 70.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 3*l, 5*l - 5 - 4 = -2*c. Suppose 8*n - 265 = -c. List the prime factors of n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 194.116288809\nAnswer: -197.116288809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1853814 - -22260917\/12. Let d = 1274 - g. Calculate the common denominator of 9\/10 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 1539 + 252*t**2 + 764 + 770 to f*t**2 + r*t + h and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/4 + (-604)\/240)\/((-48 - -29)\/(-95))?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3 - 2 + 0 - 29*d - 1 as v + u*d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*z - 12691, -7*z - 63448 = -5*m - 4*z. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-84 + 52 + 171 + 150)*(0*v - 2*v + v) to the form b*v + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160 and 1104.\nAnswer: 11040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(528) + sqrt(528)*-2)*-2)\/(-4*sqrt(110)\/(sqrt(30)\/sqrt(3) + sqrt(10))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 355 + -323. Suppose 2*b - r + 5 = -3*y, -15 = 5*y. Calculate the greatest common divisor of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 times 57.24?\nAnswer: -5094.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3 = 3*l, -4*l + 32 = g + 2*g. Solve -9*a**2 + 6 + 28*a**3 - a - 31*a**3 + 3*a**4 + g*a = 0 for a.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*a + 22*a - 2268. Let h(f) = f**2 - 18*f - 30. Determine h(a).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2299\/7 + 329. Let b = 3767\/18 + -419\/2. What is the nearest to -3\/10 in b, n, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/5 + -4 + 8. Which is the second biggest value? (a) 0.58 (b) d (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b - 11. Let i be r(-6). Suppose -2*o = -i*o + 15. Do o and 3 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 929165499*s**5 + 9151*s - 6198 wrt s?\nAnswer: 18583309980*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6723581257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 5*v - 10*v - 3*v)*(-5*v + 2*v - 19*v).\nAnswer: 308*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4412544?\nAnswer: 2, 3, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1380 + 1384. Let o(h) = h**3 - 2*h**2 - 3*h - 3. Let p be o(3). Sort p, -1, y in ascending order.\nAnswer: p, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(10\/10)*(-2)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.2. Let v = 19.802 + -19.502. Which is the nearest to 7? (a) t (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93354 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + (sqrt(448)*1*2)**2 - (0 + sqrt(448) + 5 + -1)))*5.\nAnswer: -40*sqrt(7) + 8975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -511029*k**3*y**2 + 10006*k**3 - 3*k**2 + k*y**4 - k - 1 wrt y?\nAnswer: -1022058*k**3*y + 4*k*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**5\/7 + 13700*p**4\/7 - 23254946*p**3\/7 - 706260872*p**2\/7 - 6451843840*p\/7 - 15999027200\/7 = 0.\nAnswer: -13, -4, 3440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(2016))\/(sqrt(6)\/sqrt(108)).\nAnswer: 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -313, -458, -585, -688, -761, -798, -793?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-195)\/52)\/((-117)\/(-624))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7230396 - 2?\nAnswer: -7230398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 9 = 4*c + 5*w, 20 = 2*c + 5*w. Let z(i) = -4 + 1 - 2*i + c + i**2. Let x(u) = 2*u**2 + u. Let m be x(1). Calculate z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i*((i*i**(1\/4)*i)\/i)\/i)\/i*i**(-6)*(i**1)**(-2\/5) assuming i is positive.\nAnswer: i**(-103\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 7*j**2 + 21*j**2 + 0 as a*j + h + l*j**2 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaagagaggagaa. Give prob of sequence aaag.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*i = -3*j - 21, -3*j + 2*i = 8. Let z = -43 + 83. Let o = z + j. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*o - 2*o - 2*o)*(-3 - 8 + 2) + (0 + 4 - 3)*(-3 - 2*o + 3).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1047092382 + -4336?\nAnswer: -1047096718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193996132?\nAnswer: 2, 11, 4409003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148122 and 624?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3122 is divided by 59.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, -5.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 990 and 990.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/53? (a) 0.08 (b) 0.8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + 195\/9. Suppose -5*t = -8*t - o. Let b(w) = 3*w + 10. Give b(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 4*u - 0*f + 3*f, 0 = 4*f - 16. Let j(k) = -u*k + 13*k - 2*k**2 + k. Let a(c) be the second derivative of 7*c**4\/12 + 2*c. Give a(j(b)).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4766348855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(78) + -2*sqrt(78)*-3))\/(1*(sqrt(24)\/sqrt(16) - sqrt(6))).\nAnswer: -28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {k: 12, l: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2358*r + 2365*r = -22610000. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -370, 9, 14, 1, 2 in descending order.\nAnswer: 14, 9, 2, 1, -370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215839 - 215839 + 2476*x**3.\nAnswer: 2476*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 818 = 3*k - 1293, -2*k = -3*q + 285. Calculate the remainder when 365 is divided by q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1198856, -2397710, -3596564?\n\"Answer: -1198854*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -223 - 266*a - 220 - 225 + 668. Let s(m) = -19*m. Calculate -4*g(q) + 57*s(q).\nAnswer: -19*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-5 - 0 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505*s**2 - 252*s**2 + 14888 - 252*s**2.\nAnswer: s**2 + 14888","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t**2. Let p(i) be the third derivative of -4*i**2 + 0*i**4 + 0*i**3 + 0 + 0*i - 1\/20*i**5. Give o(p(k)).\nAnswer: -27*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346238343?\nAnswer: 3, 11, 23, 73, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*j - j**2 + 104 - 38*j - 118 as x*j + q*j**2 + r and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(3\/2))\/(w*w**6))**(-2)\/((((w\/((w*(w\/(w\/w**(-1\/6)))\/w)\/w*w))\/w)\/w)\/w*w\/(w\/(w**5*w))*w*(w**1\/w*w*w*w)**(-6\/11)) assuming w is positive.\nAnswer: w**(757\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12\/43 + -4093\/645. Calculate the common denominator of ((-1)\/15)\/((-1308)\/12644) and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 81558383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)\/(y*y**(-8))*(y**(-2\/7)*y)\/y**6)\/((y**(-2))**(2\/117))**35 assuming y is positive.\nAnswer: y**(-4987\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/1 - 4\/(-2). Let g(w) be the first derivative of w**3\/3 - w**2\/2 + 6*w + 3. What is the units digit of g(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 395, 417, 477, 593, 783?\n\"Answer: 3*d**3 + d**2 - 2*d + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p + 2. Calculate the lowest common multiple of l(-1) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5\/5 - 119282*z**4\/5 + 190868*z**3 - 2624508*z**2\/5 + 2863134*z\/5 - 1073682\/5 = 0. Calculate z.\nAnswer: -59649, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 557840 + 20806460 = -29*j. What is j rounded to the nearest ten thousand?\nAnswer: -740000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012194 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 95*z - 37. Let v be l(13). Suppose 4 = 4*a, -3*r + 5*a - 3*a + v = 0. Suppose 6*p - 200 - r = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**3 - 8*k**3 - 4*k**2 + 3*k**2.\nAnswer: -20*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-123)\/(-82))\/(8\/7040*-24)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 430283, 430281, 430279?\n\"Answer: -2*y + 430285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 7*b**2 + 7*b + 8. Let t be u(-6). Sort 5, 0, -3, t.\nAnswer: -3, 0, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(2\/(-1)) - 2. Suppose -3*a - k = -30, 3*a + 5*k - 17 = 25. Suppose -4*l = -5*p + a, b*p - p = 2*l - 13. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**4\/4 - 11*c**3\/3 - 11*c**2\/2 - 8*c - 12492. Let i be 1*-4*2 + -2. Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 10*a**2 + 12*a + 7. Is 6 a factor of s(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 y when four letters picked without replacement from llllffffffffyfflll.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1021 - 6*r - 1076 + 5*r in the form d*r + x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -38*g**3 + 3*g**2 - 4*g - 5. Let q(k) = 37*k**3 - 2*k**2 + 3*k + 4. Calculate -2*j(l) - 3*q(l).\nAnswer: -35*l**3 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/287 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 85406145169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**29*(o\/(o\/(o\/o**(-3)*o)*o)*o)\/o**(-1\/3))**(-29) assuming o is positive.\nAnswer: o**(-464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -331 - 447. Let n = 1319 + s. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49.887, -2\/17, 2\/21, -2\/71 in decreasing order.\nAnswer: 49.887, 2\/21, -2\/71, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 1021118?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 4, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z**3 - 103*z**2 + 764*z + 20. What is g(11)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let f(t) = 7*t + 4. Suppose -5*c + 27 = -13. Suppose -4*l + c = -16. Determine l*u(z) - f(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2134201 (base 5) to base 11.\nAnswer: 25716","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6901063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-14)*28\/8. Suppose -9*w = u*w. Suppose 0 = -3*c + 4*n + 4, 2 + w = 4*c - 2*n. Solve -2*p + c*p = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -y**5\/30 + 11*y**4\/4 + 34*y**3\/3 - 11*y**2 - 3*y. Determine i so that b(i) = 0.\nAnswer: -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxlulltklxuxkx. Give prob of sequence lxu.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35\/12 - 8\/3. What is the nearest to v in 2\/5, 2, -0.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391023252 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-102)\/(-216) + 2\/(-9). Which is the closest to 1121? (a) 3 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 0)*(-50*m**4 + 172*m**4 - 65*m**4).\nAnswer: -228*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.084 - 40. Let f = 2192 + -2192.08546. Let j = a + f. What is j rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5505386 and 11142?\nAnswer: 1238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**5 + 98*n**4 + 2095*n**3 - 680*n**2 - 15204*n - 12528 = 0. What is n?\nAnswer: -18, -2, -1, 3, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - 4.8. Let d = n - -4. Let s = -54 + 157\/3. What is the second smallest value in s, d, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 * -55088.8.\nAnswer: 3305.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -37*h - 26. Suppose 36 - 24 = -12*p. Let v be n(p). Which is smaller: v or 28?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*a + t - 4, 4*a + 5*t - 2 = 0. Suppose 33 - 13 = 5*b. Is 7 a factor of (-5)\/b*a*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + -4 + -3 + (-2*sqrt(72)*-3 + 3)*-4 + -2))**2.\nAnswer: 59616*sqrt(2) + 378009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 430\/9*i**4 - 2688*i**2 - 5184*i + 0 + 2\/9*i**5 + 22892\/9*i**3 = 0.\nAnswer: -108, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3*i + 4. Let l be y(2). Solve 2*u - 3 = b, l*b - 2*b - 15 = -u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10085 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -530.8875 + 530. Round z to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 21\/4. Which is the third smallest value? (a) 5 (b) s (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4*h**2 + 1. Suppose 4*a - 37 = 99. Let d(m) = -33*m**2 + a*m**2 + 1 - 1. Calculate q(d(z)).\nAnswer: -4*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*c - 18, 0 = h + 4*h - 3*c + 4. Let t be (3 + -2 - 1)\/h. Solve 2*z = -t*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1507 + 10?\nAnswer: -14a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j = 157*j - 200 + 596 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929787?\nAnswer: 3, 309929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 3*l**2 - 3*l + 3. Let x be g(4). Let h be 20 - -3 - (1 - -1). Calculate the highest common factor of h and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 3.4735.\nAnswer: 8.4735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75989 is divided by 4733?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = -11*v + 599. Let j be 7\/(-7) + 88\/(-2). Let a = j + v. Solve -a*f - 2 = -0*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:56 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 a when four letters picked without replacement from aeeaeeeav?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 102958, 103034, 103110, 103186?\n\"Answer: 76*q + 102882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*(0 + -5))\/1. Suppose c*m - 10 = 0, -122 + 349 = g + 5*m. Suppose -g - 77 = -6*h. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/4)\/(y*y**(-3\/4)))\/((y\/(y\/((y*((y**(3\/2)\/y)\/y*y)\/y*y)\/y)))\/(y*y**2)))**(2\/31))**(-12) assuming y is positive.\nAnswer: y**(-48\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152) + (sqrt(152) - (sqrt(152) - 2*sqrt(152)))))\/(sqrt(80)\/sqrt(10)*3).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 337866 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 19*s**2 - 31*s - 103. Calculate t(-18).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.8436 rounded to two decimal places?\nAnswer: -16.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*4 - (3*(sqrt(13) + sqrt(13) + (-2 + sqrt(13) - sqrt(13))))**2.\nAnswer: -504 + 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 0, 1\/6, -5.473?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104\/21 + -37\/7. Is 11\/9 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -8. Suppose -f - 1 = 4*l. Let g(x) = x**2 + 3*x - 2. What is g(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qhhhqqhjjjhj. Give prob of sequence qq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0. Suppose 0 = 12*x - 24 - 12. Which is the third biggest value? (a) 0.4 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1578 and -622985502.\nAnswer: -622985502.1578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 592123*n + 2960626. What is s(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6 + -1 + -311)*-1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6 + 5*h**2 + 23\/2*h - 1\/2*h**3.\nAnswer: -(h - 12)*(h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-4)*(-172)\/(-42). Let n = f + 13. Let v = -69\/8 - -337\/8. Calculate the common denominator of n and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let c = 6 - 3. Let a(h) = -3 - 3*h + c. What is f(a(x))?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/1048, 3\/5 in descending order.\nAnswer: 3\/5, 5\/1048, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 - 291 + 125*v**2 + 98 - 263*v**2 + 97 + 100*v**2.\nAnswer: -38*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m*p + 84682*m + 8802*p wrt p.\nAnswer: 2*m + 8802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8 - 12*z - 32*z**2 - 7*z - 18*z - 3 + 7153*z**4 + 38*z wrt z.\nAnswer: 171672*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*q + 7*l - 24, 5*q = -3*l + 38. Let n(c) = c**3 - 6*c**2 + 3*c + 4. What is the lowest common multiple of q and n(6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000181187 to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -213840, -427680, -641520, -855360?\n\"Answer: -213840*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35*b*j + 22*b - 152*j wrt b?\nAnswer: -35*j + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1819950040 = -5*b + 5*w, 0 = -3*b - w - 1406682637 + 314712645. What is b rounded to the nearest 1000000?\nAnswer: -364000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 9, 4\/3 in increasing order.\nAnswer: -0.2, 4\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/126 + k**6\/30 - k**5\/30 - k**4\/6 + k**3\/18 + k**2\/2 + 207*k. Find u, given that v(u) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -563.99999758 - -564. What is v rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -2)*12\/(-28). Suppose -3*d + 18 = c*d. Suppose 112 = d*s + s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 35 = 0, h - 469 = -5*q - 131. What is the greatest common factor of 46 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -146, -526, -1266, -2486, -4306, -6846?\n\"Answer: -20*g**3 + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - x + 121 = 0, 3*x - 31 = -q + 17. Let k = q + -59. Solve 0 = b - 0*b + k*f - 17, 0 = 4*b - f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.92? (a) -4 (b) -0.3 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 18. Let r be j(14). Let p(x) = x**3 + 9*x**2 + x + 5. Let l be p(-9). Let u be (-2)\/l*84\/7. Solve r*v + u*a = 2*a - 36, -3*v - 5*a = 37 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32857 - -32900.273. Let j = -42.8 + z. Round j to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 19495899.\nAnswer: -5848769.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syxpyypypysyjxympmy. Give prob of sequence ypp.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d = -z + 85 + 4 - 817, -2*z + 128 = 2*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -3*q**7\/280 - q**6\/180 + 2*q**3 + 4. Let d(t) be the third derivative of u(t). What is the third derivative of d(f) wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 25*w - 113. Let m(p) = -51*p + 225. Let h(t) = 13*f(t) + 6*m(t). Let q be h(6). Which is the third biggest value? (a) 0.4 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68245 - -113654504\nAnswer: 113586259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x - 19. Let z(n) = -4*n - 17. Let m(a) = 5*p(a) - 6*z(a). Determine m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 2 + 1 + 1. Let h be 4 + b + -1 + -1. Suppose z - 5 + h = 0. Solve 19 = -5*x - 2*c, -z*c + 5 = -x + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**3 + 7 + 1 + 2 + 9 to j*a**3 + q + w*a + k*a**2 and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23 + -36.50525.\nAnswer: -36.27525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in -1.48, -3, -0.22, 11, 0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101832632 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4699 = -5*o, -o + 4*g + 1902 = o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/(v**(-1)\/v)*v))\/v*v**(5\/4))\/(v**(-2\/11))**(-13\/6) assuming v is positive.\nAnswer: v**(-547\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -6*(sqrt(425) + sqrt(425) + (sqrt(425) - (-4 + sqrt(425)))))**2 - (sqrt(85)\/(sqrt(5) - 3*sqrt(5)) - ((sqrt(17) - (sqrt(17) + sqrt(833))) + -2)).\nAnswer: 6227*sqrt(17)\/2 + 61874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.06, 2, -2\/13, 6, 1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - (((-19325)\/3)\/(-5))\/(6\/(-18)).\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 20 - 6*o + 12*o + 3 + o - 3 + 4*o + 2*o - 3*o + (4*o - 3*o + 0*o)*(-1 - 2 + 1) - 3*o - 4 + 4 to the form a + g*o and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q - 5. Let u be h(-6). Suppose 4*w - u = 2*x + w, -x = 5*w + 39. Let l = -8 - x. What is the least common multiple of 10 and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let b(r) = 444*r + 234. Calculate p(b(z)).\nAnswer: 888*z + 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -12, -2052, 1 in decreasing order.\nAnswer: 1, -1, -2, -12, -2052","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -336*y**2 + 12*y. Let t(k) = -6*k**2. Determine h(t(s)).\nAnswer: -12096*s**4 - 72*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*z = z - 7*z + 198. Let f(g) be the third derivative of -g**5\/120 - 5*g**4\/24 + g**3\/6 + 2*g**2. Let u(k) be the first derivative of f(k). Give u(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jq when two letters picked without replacement from jhjmqhk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3\/3 - 113320*i**2\/3 - 21277186*i = 0 for i.\nAnswer: -56091, -569, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*c = 21, -s + c - 35 = 4*s. Let h(b) = 3*b + 151. Let z(j) = -10*j - 523. Let p(g) = -7*h(g) - 2*z(g). Give p(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761118 is divided by 253704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 - 2*k + 8. Let c(d) = 4*d**2 - d + 5. Suppose 5*w = 2*s + 11, 5*s + 17 = 3*w - 20. Determine s*c(i) + 5*a(i).\nAnswer: -2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-3)\/(-17)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 5*k - 6, 0*k + x = k. Suppose k*c + 8 = 20. Suppose -4*l + c*m = -20, 2*m + 15 = 2*l + l. What is the smallest common multiple of l and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 562513?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 22*c - 21. Let u be y(-23). Suppose -n = -r + 1 - 13, -u*r + 60 = 4*n. Calculate the remainder when 67 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a**3 + 53*a**2 + 33*a - 38. Determine g(-26).\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136.1938nm to micrometers.\nAnswer: 0.1361938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 86*y**2 + 1815*y + 45. What is the remainder when v(-40) is divided by 104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, -1920, -8268, -20628, -41004, -71400, -113820?\nAnswer: -170268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -208515 (base 10) in base 6?\nAnswer: -4245203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 56 = 22*r + 15*r. Let q(h) = -4 + h - 7*h**2 + 6 - 3. What is q(r)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s + 14. Let j be (-12)\/s + (-10)\/(-35). Let i = 1 + j. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 21 (b) -1\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k. Let s(q) = -15967*q**2. Calculate s(t(j)).\nAnswer: -15967*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = x - 5. Let l be x\/(-8) + 60\/16. Suppose -4*d + 237 = 3*v - d, 158 = 2*v + l*d. What are the prime factors of v?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -8*u + 7*u. Let j(i) = 3*i + 29. Let h be j(u). Sort 1, h, -10, 0 in descending order.\nAnswer: h, 1, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:00 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155175 is divided by 147?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -71 + 404. Suppose 0 = -2*m + 3*m - f. Is m\/(-18)*-1*14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5 + 2\/5*o**3 - 8\/5*o - 4\/5*o**2.\nAnswer: 2*(o - 2)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 8*f - 2. Let o be w(-7). Suppose -o*c + 8 = -c. Sort c, 1, -1 in ascending order.\nAnswer: -1, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + sqrt(612) + 5))**2 + -2*(0 + 1*sqrt(612)) + -4.\nAnswer: 1788*sqrt(17) + 16196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t + 18. Let m be q(8). Let b = m - -29. What is the greatest common factor of b and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/8 + (-1)\/8. Let s = 6 - 5.4. Let g = s - 1. Put g, w, 3 in increasing order.\nAnswer: g, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 2*p**2 - 2*p - 1. What is a(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8087124, -16174237, -24261336, -32348415, -40435468, -48522489, -56609472, -64696411?\nAnswer: -72783300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2711*i + 3177*i + 13980 = 0 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*18\/81 - (-2 + -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 14131*t + 9542. What is the tens digit of a(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10578 or 10580?\nAnswer: 10578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = t - 6. Suppose 12*c + 26 - 2 = t. Let s be (-1)\/((-7)\/105)*c\/(-2). Are 15 and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-29)*d**(-27) assuming d is positive.\nAnswer: d**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1280 from -0.24026518798.\nAnswer: -1280.24026518798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 18*c + 54. Let j(h) = -h - 3. Suppose 0 = -445*b + 456*b + 198. Let t(d) = b*j(d) - o(d). Let g(f) = -2*f - 19. Calculate t(g(q)).\nAnswer: -12*q**2 - 228*q - 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 46686623198 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1818)\/(-303)*(-8)\/18?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22818 + -22713. Calculate the remainder when 9236 is divided by t.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 18) + 29 + -10 + (54 - 9)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1152 and 3375072?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2*c + 2*c + 10*c**2 - 9*c**2 - 2*c**4 + 2*c**3 as k*c**3 + i + u*c**2 + x*c + z*c**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376289695 by -5.\nAnswer: -75257939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 788.3 and 199335.\nAnswer: 200123.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/14, 2\/1799, -253?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 2*w**2 + 8*w - 1. Let q(d) = -5*d**3 + 1. Let p be q(-1). Is l(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -367.907 - 1.\nAnswer: -368.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 2162*k + 12782. Give g(-6).\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbb when three letters picked without replacement from gggcbgbgbcc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4216310 - 4216310 - 12589*f to the form o + i*f and give i.\nAnswer: -12589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 70 = -12*w. Suppose -2*l - 104 = -5*h - l, 5*l - 80 = -w*h. Is h bigger than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 less than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -14*w**2 + 232*w - 8. Let y(g) = 32*g**2 - 464*g + 18. Give 7*d(a) + 3*y(a).\nAnswer: -2*a**2 + 232*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -34. Let c = t + -34. Let i = c - -28.99999981. What is i rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 42\/(-35)*(-5)\/2. Suppose -l*u + 51 = -5*v, 0 + 13 = u - 3*v. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.5 + 14.5. Let f = -24 + p. Let z = -6.712 - f. Round z to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -6\/217 (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3983534 greater than or equal to -3983532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vahaavhaahahvav. What is prob of picking 1 v and 1 a?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14492253?\nAnswer: 3, 4830751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 8 - (-5 - (-11 + 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(1700) + 1)*6 - sqrt(1700) - 2*sqrt(1700)*6)*-4)**2.\nAnswer: -11200*sqrt(17) + 1333200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 1, k: 1, v: 5, r: 2, h: 3}. What is prob of picking 1 k and 2 h?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1443424)\/(-688))\/1049*(-1*1\/(-239))\/1.\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 15922?\nAnswer: 47766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/24 and -41\/1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6652 (base 12) to base 8\nAnswer: 26036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 13023?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 40. Let z = -0.1 + -0.4. What is the third smallest value in p, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*j - 5543 - 4337 = -2744 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 3:22 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 + 7*b - 90 - 184.\nAnswer: 7*b - 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 28*u**3 + 3*u**2 - 4*u + 1. Let y = 123 + -121. List the prime factors of t(y).\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**2 - 3*q**2 - 6*q**3 + (-12*q**2 - 181 + 181)*(-1 + 2 + 3)*(3*q + q - 3*q)*(-1 + 3 - 3).\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -118\/19 - 1447\/76. Find the common denominator of (-1)\/(-9) + (-1383)\/540 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -562.2 * 0.1\nAnswer: -56.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 2*t + 3*t + (0 + 2 - 7)*(3*t - 2*t - 2*t) - 3*t + 5*t - 7*t to d*t + x and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -4. Suppose -15 = -3*j - h. Suppose 4*i = -j*o + 61, 3*o = 2*i + i - 39. Is i a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + 0 - 184\/345\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/4, -0.1, -2.78, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.0338 milligrams in micrograms?\nAnswer: 371033.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((10\/(-3))\/(-10))\/((-30)\/(-20070)) is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 43 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5*b**3 - 294*b**2 + 527*b - 13. Give i(57).\nAnswer: 785","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -1) + 0 - -1. Suppose -1 = -5*b + 9. Find w, given that -b*w**4 - 2*w**4 - 3*w**2 + 2*w**2 + 4*w**d = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9075 and 53690725?\nAnswer: 3025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 11204 (c) 2\/3 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 0*a - 3\/32*a**4 + 0*a**2 + 56 + 7\/4*a**3. Factor m(z).\nAnswer: -3*z**2*(z - 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**7\/2940 - l**6\/1260 - l**3\/3 - 3*l**2. Let y(j) be the first derivative of k(j). Factor y(u).\nAnswer: 2*u**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 165*u**2 - 3*u - 1. Let y(q) = q**3 - q - 1. Let z = 4 - 5. Let s be y(z). Is i(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2080 and -93\/136?\nAnswer: 35360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**2 + 75*i + 189. Determine g(40).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - 3 - (413 + -404).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2950 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in 0.3, -0.2539, 6.2, 0.5, 0.4?\nAnswer: -0.2539","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 80 = 9*z. Let h(j) = -34720*j**2 - 15*j - 75. Let u be h(z). What is u rounded to the nearest 10000?\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1741*-17.38.\nAnswer: -30258.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7*q - 3820 = 0. Let v = q + 1332. List the prime factors of v.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-19)*b*b**(-1)*b*(b**(-2\/171)*b)\/b*b*b**(-3\/26)*b assuming b is positive.\nAnswer: b**(-71701\/4446)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwwwddddggddggwdwk. Give prob of sequence dk.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 15*v - 29. Let d be p(12). Let r = d + -8. Is r < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*i = -235*i + 13 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75\/2 + -38. Let a = 3.4 + -0.4. Put 4, a, f in increasing order.\nAnswer: f, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.689247098 rounded to 3 dps?\nAnswer: -0.689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 + w**2. Suppose -2*k = 3*k + 10. Let d be v(k). Is (-3 + 0)*d\/9 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*v**3 - 47 + 49 - 15*v**3 to u + y*v + r*v**2 + k*v**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-1)**2 - (sqrt(2) + -1 + -1).\nAnswer: -sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -6 + 2. Let r = p + 9. Solve 25 = -r*i + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/220*-8)\/((-12)\/(-108)*(-3)\/(-10)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*z + 1, -2*n + 3*z = -1. Sort n, 3\/8, 0.5 in ascending order.\nAnswer: n, 3\/8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 7:01 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1161*w**2. Let b(z) = 3*z**2. What is b(a(s))?\nAnswer: 4043763*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144 is divided by 221?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -7. Let h be -5 + 1408\/66 - 2\/(-3). Solve h + 0 = 4*x - 5*a, -b*a = -4*x + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*j - 490 + 409 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 275188, 275174, 275160, 275146?\n\"Answer: -14*g + 275202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7517+167581017\nAnswer: 167588534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**2 - 2*y**2 - 3*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 512.\nAnswer: 102.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/7)\/f**(-1\/37))\/(f**13\/f**(-25)) assuming f is positive.\nAnswer: f**(-9724\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 477 (base 8) to base 10.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 7*w - 4. Let p be (-3)\/(3\/2) - (15 - 18). Let h be (0 - 1) + (p + -3)*-8. Suppose h*j - 16*j = 7. Give i(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-5)\/(-100)*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1521633 divided by -20\nAnswer: 1521633\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 1. Suppose 0 = p - n + 5. Let c = 5 + -1. What is the third smallest value in c, p, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349868 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4273 divide 3866073664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/(-54) + (-4)\/(-18). Suppose -4*k = 53 + 11. Let i be 10\/k*5\/25. Sort w, -3, i.\nAnswer: -3, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2628*d + 3*d**3 - 7*d**3 + 785 + 2*d**3 + 2628*d + (17*d**3 - 16 + 16)*(2 - 3 - 1).\nAnswer: -36*d**3 + 785","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -53*k**6\/720 + k**5\/120 + 7*k**4\/6 - 27*k**2. Let l(d) be the second derivative of x(d). Is 17 a factor of l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.304697 less than -316?\nAnswer: -286.695303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 112483.9 rounded to the nearest 1000?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-15 + 7)*-206. Let y = i - 209. Let w(t) = -2*t**2. What is w(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (31 - (36 + -6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981 = 59*g + 5*z - 837, 0 = -2*g + 2*z + z + 49 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 3305*t**4\/24 - 13*t**2 - 40*t. Let p(o) = 2*o. What is p(d(n))?\nAnswer: 6610*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -3, 1, -0.022, -4.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Let x be (20 + (14 - 6))*(-24)\/(-7). Let y = x - 290\/3. What is the nearest to y in o, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1196, 1187, 1168, 1133, 1076, 991, 872?\n\"Answer: -a**3 + a**2 - 5*a + 1201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42188.\nAnswer: 2, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 3*s - 4. Let r be p(3). Is r < -16\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-4)*3*((-112)\/8)\/(-42)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 28*i**2 - 28 + (-1 - 1 + 3)*(-2*i**2 - 4*i + 4*i) - 2 + 2 + i**2)*(-1 + 2*i**2 + 1) - 2*i**4 - i**2 + 0*i**4 + 0*i**4.\nAnswer: 52*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 + -244. Calculate the remainder when 50\/(-15)*-18 + 0 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*r + 12 + 66, -r + 3 = 0. Calculate the greatest common divisor of a and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -4*(-6)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*p - 2*v + 56 = 0, 4*v = 4*p - 152. Let a be 12\/(-9) + (-350)\/(-15). What is the greatest common divisor of p and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -17598*y - 457545. Determine s(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 197.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147344.7 kilometers to meters.\nAnswer: 147344700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**7\/420 + i**4\/8 - 4*i**3\/3 + 4. Let y(o) be the third derivative of q(o). What is the first derivative of y(c) wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101189 is divided by 16863?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**2 + 211550*p + 211545.\nAnswer: 5*(p + 1)*(p + 42309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k + 4. Let v(s) = -2*s + 1. Calculate -6*t(w) + 14*v(w).\nAnswer: 2*w - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**4 - h**3 - h**2 + 4. Let u(f) = -21*f**4 + 2527*f**3 + 11963*f**2 + 17168*f + 6868. Let g(r) = 3*l(r) + u(r). What is s in g(s) = 0?\nAnswer: -2, -2\/3, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -3 + 0*q**4 + 5*q**2 - q**3 + 0*q**5 - 23\/42*q**7 + 1\/30*q**6 + q. What is the second derivative of p(o) wrt o?\nAnswer: -460*o**3 + 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 5 + 20 + -19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1900) + 0) + 3 + sqrt(1900) + 3)*1)**2.\nAnswer: 240*sqrt(19) + 7636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 10 = -0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*y**6 - 93*y**6 + 281*y**2 + 70*y**6 + 11*y**3 + 3*y**3 wrt y?\nAnswer: -720*y**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-98))\/(-5 + 351). Which is the biggest value? (a) -4\/9 (b) -0.2 (c) -1 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4452\/12243)\/((-114)\/198*-6).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191387 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence onis when four letters picked without replacement from jsojjsinojo?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36245617.\nAnswer: 36245617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dotddqddd. Give prob of picking 3 d and 1 o.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.02, -3\/9052?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 344574, 689786, 1034998, 1380210?\n\"Answer: 345212*a - 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9297487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -49, 12, 3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - (-12 + -10 - 23).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 384, 386, 388, 390, 392?\n\"Answer: 2*t + 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1 - (-12 + 12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64140\/11 - -5831. Sort -2\/11, 2, -1, x in increasing order.\nAnswer: -1, -2\/11, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2113 is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/2 of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5726 is divided by 1426?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*z - 128*z - 4*k - 80, 3*z - 254 = 5*k. What is the least common multiple of z and 110?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 13 (c) 0.2 (d) -10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 349\/4 + 4\/(-16). Find the common denominator of ((-2)\/6)\/(3\/i) and 6*((-1)\/(-1))\/(-8) - -20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q + 11. Suppose -z = -5*z + 4*r - 8, -3*z - 34 = 4*r. Let x be o(z). Suppose 2*b - x = 1. Solve 2*v + 1 = -s + 3, -4*s + 2*v + b = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 9 + 14538*i**3 - 1524*i**3.\nAnswer: 13014*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8788*y**3 + 63508*y**2 + 1118*y. Let g(w) = -925*w**3 + 6685*w**2 + 117*w. Let j(k) = -172*g(k) + 18*u(k). Find the third derivative of j(d) wrt d.\nAnswer: 5496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4166*f**2 + 116*f + 6962546 with respect to f.\nAnswer: -8332*f + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*z + 3*z. Suppose 5*l - 30 = 2*l + 4*m, m = -z. Let b be 0 - (0 - l\/2). Solve 0 = -3*g + 5*u + 11, u = b*g - 8 + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 6*i**2 - 2*i - 7. Let o be r(5). Calculate the highest common divisor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*1*sqrt(85))\/(sqrt(320) - -2*sqrt(320) - sqrt(320)).\nAnswer: -15*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (198\/(-792))\/(((-2)\/(-20))\/(4\/5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -231.6 + 241. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a factor of 4805604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 7037 - o**2 + 21692 - o**3.\nAnswer: -o**3 + 3*o**2 + 28729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -8, -3 in descending order.\nAnswer: 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/2 - 1\/10. Let l = -21.5 - -21.43. Which is the third biggest value? (a) l (b) -1\/11 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 1925 - 5120. Suppose 11*g = 2*g + w. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -135*c**5\/4 + 279*c**4 + 2307*c**3\/4 + 93*c**2 - 105*c = 0.\nAnswer: -7\/5, -2\/3, 0, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 20 + 15*m**4 + 0*m - 3*m**3 - 8 + 12 - 3*m**5 - 21*m**2 - 18*m**2 + 6*m = 0. Calculate m.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (16\/4 + 2)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/31 in -5, 0.14, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -143*v + 35*v + 32*v - 2 + 3. Let r(z) = -1. Let k(f) = 2*f + 2. Let u(j) = k(j) + 2*r(j). Calculate n(u(i)).\nAnswer: -152*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13650 and 944175?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3535*m - 3531*m + 52 = 2*l, -42 = -l - 6*m for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 7*l**3 - 5*l**2 + 5*l - 5. Let q(n) be the first derivative of 2*n**4 - 2*n**3 + 3*n**2 - 6*n + 42. Calculate -6*k(a) + 5*q(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, c: 2, p: 2}. What is prob of picking 2 j?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 75*f + 79*f - 45451 = 0, -4*z - 3*f = -181856. List the prime factors of z.\nAnswer: 19, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12807 + 12791. What is the closest to -2\/9 in 0.4, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by -165?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 15) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95, 185, 273, 359, 443?\n\"Answer: -h**2 + 93*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + 21. Suppose 0 = 5*z - 7 - y. Is 7 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 273003 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33633 and 8.\nAnswer: 269064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10101805 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 3*j**2 - 3*j - 1. Let p be y(-2). Suppose -2*o - n + p = 3*o, 15 = 3*o - 3*n. Suppose -27 - o = -4*a. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) + 8381\/(-55). Let p = -152 - t. Let v be -1 - 15\/3*-1. What is the second biggest value in -0.2, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c + 5?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -j**5 + 16*j**3\/3 - 2. Find the third derivative of v(d) wrt d.\nAnswer: -120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*((-1118200)\/20 - -20)?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -f + 4*f - u, 4*u = 4*f - 208. Let j = -49 + f. Suppose -t + 1 = 0, 3*c - 3*t = -j*c + 537. Does 36 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -64*l**3 + 3*l**2 + 1. Suppose r + 0 = 2. Let j be (-11)\/(-3) + r\/(-3). Let u be c(j). Round u to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01709? (a) 3 (b) -0.04 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from agnanqggnqn. Give prob of sequence gq.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {v: 4, t: 1, i: 2, b: 2, y: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 546555 >= 546562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -3\/25863100 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**7\/210 - c**6\/60 + c**4\/12 - c**3\/6 + 41*c**2. Factor f(i).\nAnswer: (i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*f, w + f + 12 = -4*f. Let x be 1\/(1\/(-1)) - w. Let u be 0\/(x\/(-3)*-3). Solve u = 4*o - 2*o - c - 1, 0 = -o - 3*c + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/6*3\/(-4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 5 = -3*p, 20*p = 18*p - 4*s + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -10. Let d = 8 - c. Let x be (-2 + 1)\/(d*-1). What is the biggest value in -3, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/476? (a) -2 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - sqrt(1584)*-1)*-3 + sqrt(1584))**2 + (sqrt(88)\/(sqrt(56)\/sqrt(28)))**2.\nAnswer: 39644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/4244512 and -77\/107456.\nAnswer: 8489024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**16\/n*n\/((n\/(n**(-8)*n)*n)\/n)*(n\/(n*n**12\/n))\/n**(6\/5) assuming n is positive.\nAnswer: n**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -50*s + 2. Let p be w(1). Let l = p - -76. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014602064 rounded to six dps?\nAnswer: -0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/(-4)*4\/(-5). Let r(s) = 30*s**2 + 276*s - 12. Let q be r(-9). What are the prime factors of (-7 - -1)*(q\/f + -6)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 8*m - 78. Calculate v(-8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/2*15*(-12)\/2430?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5*b + 5 = 0, 2*h + 19 = b + 18 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 11*z**3\/3 + z**2\/2 - z - 2. Let x be n(1). Which is the closest to 1\/4? (a) 5 (b) 0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + n - 3. Let g be m(-3). Calculate the greatest common divisor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 5*q**2 + 17*q + 27. Let o be k(-7). Differentiate o - 2*l**4 + 0*l**4 - 171*l + 164*l + 85 wrt l.\nAnswer: -8*l**3 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 4*i - 132 = -4*h, 2*h + 5*i = 48. What is the greatest common factor of 357 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 781 - 750. Calculate the remainder when 110 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)*u*u*u)\/u*u**(-3))**21\/((u**6*u\/(u*u**(3\/8)))\/(((u**0*u)\/u)\/u)**1) assuming u is positive.\nAnswer: u**(-137\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -25. Let w(u) = u**2 + 7 + 0*u**2 - 2 + 2*u. Let a be w(i). What is the highest common factor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:44 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*g**5*w**2 + 60*g**4 - 14*g*w**2 + 771*g*w wrt g.\nAnswer: 660*g**3*w**2 + 720*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84 or -1\/228?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z - z**2 - z**2 - 24*z + 43*z.\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -13*c - 2*c**3 + 7*c**3 + 9*c**2 + 4*c. Let b(a) be the third derivative of -a**6\/120 - a**5\/60 + a**4\/24 - 373*a**2. Give 18*b(i) + 2*t(i).\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(3\/(-6)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {e: 8, t: 5}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11617851?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-134)*(1672\/57)\/44?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -539\/52 or -1?\nAnswer: -539\/52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -179, -206, -233, -260?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95.5 - 0.2099.\nAnswer: -95.7099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 1314?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 8\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-2))\/((-264)\/(-16)). Which is the nearest to f? (a) 0.1 (b) 2\/5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**2 + f**2 - 3*f**2 - 4*f**3 + 3*f**2 + (0*f + f + 3*f)*(2 - 2 - f**2).\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 7:17 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1006203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - s + 208. Let c = -72 + s. Suppose -2*m + 70 = -c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/15*3\/(-8). Let y = -68 - 607. Let b = y + 674.93. Sort z, -0.1, b, -2 in decreasing order.\nAnswer: b, -0.1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2765 - 1937. What is the highest common factor of 6348 and v?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 702424?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 16) in base 4?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 137, 275, 413, 551, 689?\n\"Answer: 138*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*j - 23 + 23)*(11 + 7 - 3) + 2*j - 2*j + 2*j.\nAnswer: -343*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 12213\/11, -4, -5 in decreasing order.\nAnswer: 12213\/11, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 + 3*h**2 - 4. Give r(2).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000057707248 to seven decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 317.7 (b) 2\/7 (c) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 bigger than 7764\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-q - 2*q + 5*q)*(36*q**2 - 26*q**3 + 14*q**2 - 78*q**2).\nAnswer: -52*q**4 - 56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3.2. Let j = -3.7 - -4.7. Which is the biggest value? (a) h (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/189828 and 5\/86435016.\nAnswer: 259305048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - (-7 - -13) - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -44.456636653.\nAnswer: 41.456636653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3280374?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16.168? (a) -2 (b) 2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 20 = 0, 4*x = 3*a + x - 21. Suppose -a*v = v - 64. What is the greatest common divisor of 64 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13688908 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from psahhav. What is prob of picking 1 a and 1 h?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -c**4*w**2 + 3*c**2*w**3 + 6*c*w - 21*w**3 - 2*w wrt c.\nAnswer: -4*c**3*w**2 + 6*c*w**3 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35661130 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 3*t**2 + 4*t - 3. Let p = 159 - 157. Give v(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158969059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -511*b + 459. Let u(t) = 513*t - 462. Let h(g) = -2*u(g) - 3*y(g). Differentiate h(l) wrt l.\nAnswer: 507","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 + 7*b**2 - 5*b - 5. Let j be m(-3). What is the greatest common factor of j and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8499, 5793, 1275, -5061, -13221, -23211, -35037?\nAnswer: -48705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (-1217)\/11 + (-24*(-11)\/(-1452))\/(3\/6)?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -211695 (c) 45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(55))\/(sqrt(99)\/(sqrt(18)\/sqrt(2))).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53749434 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -74.89 - -16462956723\nAnswer: 16462956648.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 29, -1580, -2, 457 in descending order.\nAnswer: 457, 29, -2, -5, -1580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/1696 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 33 = 2*n + n, 5*m - 67 = n. Let g be m\/(-63) + 128\/9. Find the second derivative of -y**2 + 0*y**2 - 13*y + g*y**2 - 20*y wrt y.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 565381\/9156 + 1\/4578. Let t = o - 61. What is the fourth biggest value in -2\/13, -1, t, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.2296 years in months?\nAnswer: 5378.7552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*p + 2*p - 56, 0 = -g + 2*p + 19. Suppose -17 = -2*k - g. Solve 7*n - 2*n - 5*i = -45, -5*n - 5 = k*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.45209 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -37\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 4*b + 8*b - 12*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.05 - 3. Let m = 0.11 + x. Let j = 0.06 - m. Which is the third biggest value? (a) -2 (b) 0.5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9102328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:57 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 11 + 1830*c - 2 - 3*c**2 - 1812*c. Let d be q(7). List the prime factors of (-4)\/(-2)*(-966)\/d.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -y + 13. What is the hundreds digit of 3 - 6 - 73*y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -75 (b) 69 (c) 0.0043\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13465420 + 5095420. Round j to the nearest 100000.\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 11) in base 9?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/69)*j*(j\/j**30)\/j)\/(j**15\/(j*(j*j*j**(-39)*j)\/j*j)) assuming j is positive.\nAnswer: j**(-5384\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 0.3, -0.4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3022211 - -30121?\nAnswer: -2332030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + 0. Solve 2 = -5*b - l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 11 - 22\/(-9) - 0. Let s(l) be the first derivative of -2\/27*l**3 + 5 - 1\/3*l**2 - m*l. Factor s(b).\nAnswer: -2*(b + 1)*(b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(171) + -2))**2*5 - -5*((2 + sqrt(171) - sqrt(171)) + sqrt(171) + -4 + sqrt(171))) + 1.\nAnswer: -930*sqrt(19) + 13991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.856706 + 0.075344. What is y rounded to two decimal places?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 40*n**2 + 2*n - 7. Let a be o(-5). Let b = a + -690. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**5\/60 + 7*x**4\/24 + 7*x**3\/6 - 3*x**2. What are the prime factors of a(-8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/10856829 and -43\/22967?\nAnswer: 75997803","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:43 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6041 (base 8) in base 15?\nAnswer: -dc0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154, -294, -426, -550, -666, -774, -874?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 2, -1, 0.2, 0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/63 and 37\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 8:49 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-90)\/(-24))\/(3\/(-56)). Let w = 100 + v. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/120 + z**3\/36 - 5*z + 5. Factor h(a).\nAnswer: -a*(a - 1)*(a + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 57539808?\nAnswer: 57539808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f. Let j(v) = -v. Let q(k) = -3*j(k) - l(k). Let s be q(2). Let h = s - -4. Solve 10 = h*b - p, 1 + 14 = 3*b - 2*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p*q - 1135*p - 47*q - 1 wrt q?\nAnswer: 2*p - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7475155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - i + 0*i)*(-6 - 27791*i**2 + 6 + 33502*i**2) in the form d*i**2 + x + s*i + t*i**3 and give t.\nAnswer: -5711","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/(-12)*1*6.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2*f, -2*o + 7*o - 38*f - 2499 = o - 2773 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-4 - (-10)\/4). What is the highest common factor of f and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 815.4779 and 65.281?\nAnswer: 750.1969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 55 = -5*w, 0*q - 43 = 2*w + 5*q. Let p = w + 15. What is the remainder when p is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 - 3*y**2 + 4*y - 3. Let l be d(3). Let w be -1*(-1 + -31 + 1). Let i = w + 59. What is the greatest common factor of l and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*h = -119*h - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -1*sqrt(3)) + 1 - -1*sqrt(3)*-6.\nAnswer: -4*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 252, -3\/8, -27, 4\/5, 0.3 in increasing order.\nAnswer: -43, -27, -3\/8, 0.3, 4\/5, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:31 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 o when three letters picked without replacement from {y: 3, o: 5, h: 4, v: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 4:37 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.31848 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/472 and 3*(-10)\/(-384) + 80\/64.\nAnswer: 3776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - 1 - 0 - -7) + -19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 1. Let x be h(-2). Suppose 2*u - 26 = -5*p, -2*p + 2 + 6 = 0. Suppose 5*n = b + u, -5*b + 0*b - 15 = -4*n. Sort -4, x, b in descending order.\nAnswer: x, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 54 + -52. Let n be (-4)\/(h + 10\/(-4)). What is the tens digit of 100\/(1*n\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**3 - 4*a**2 + a - 7. Is x(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 440 - 433. Suppose h*c + 289 - 366 = 0. Calculate the remainder when 260 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1738.74*-3.5.\nAnswer: -6085.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, k: 2, q: 1, j: 4, b: 2}. What is prob of sequence qkb?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Suppose 391 = 91*u + 300. Let b(p) = 5*p + 13. What is u*b(k) + 6*a(k)?\nAnswer: -k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/24)\/(1\/(-428)). Suppose 35 = -2*n + g. Find the third derivative of 30*f - 23*f**2 - 56*f + 26*f - n*f**3 wrt f.\nAnswer: -216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 35\nAnswer: 39\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4138*r + 3 + 4137*r - 2*r**2 + 4127*r - 12404*r. What is i(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80907?\nAnswer: 3, 149, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - 1*-10 - 0. Let h = 267 - i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7390431 and 124?\nAnswer: 29561724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-4 + (-3 + sqrt(320) - sqrt(320)))**2 - sqrt(320) - sqrt(320)).\nAnswer: -16*sqrt(5) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/(w**(-15)*w))**(2\/117) assuming w is positive.\nAnswer: w**(14\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1281375 and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*s + 36*s + 20 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1844, -3664, -5482, -7298, -9112, -10924, -12734?\nAnswer: -14542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -1, 577, -3 in descending order.\nAnswer: 577, -1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -7\/4. Let p be ((-24)\/(-108))\/(45\/81). What is the fourth biggest value in 3, p, -2\/7, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -753*h**5 + 1503*h**5 - 10*h**4 - 755*h**5 - 5*h**3.\nAnswer: -5*h**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81873*v + 81838*v - 455 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 0, 333, -1 in descending order.\nAnswer: 333, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 17*z**2 - 10*z - 58. Let l be a(16). What is the greatest common factor of l and 323?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 9:14 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12490963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 37. Let n(v) = -2*v - 22. Let y(c) = -3*b(c) - 5*n(c). Suppose -2*z + 15 = z. Let i(g) = -3*g + 2. What is z*y(r) + 2*i(r)?\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 7:31 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11130, 44140, 99030, 175800?\n\"Answer: 10940*j**2 + 190*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5272\/3 - -1737. Find the common denominator of -17\/2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9 = 3*r, -5*r + 2*g - 5 = -4. Suppose -4*x = -z + 25, -5*x + 3 = -4*z + 48. Which is the nearest to r? (a) -1\/3 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -491 less than 2?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 916016099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-13)*q))*q*(q\/(q\/(q**(11\/5)*q)))\/q*q*q)**(4\/11) assuming q is positive.\nAnswer: q**(-136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/8 of a second?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 6) in base 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/83 (b) -0.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 547618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 = -4*q + 4*y + 100, -2*y = 3*q + 11 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 126*k**2 + 293*k - 8*k**2 + 666*k**2 + 761*k + 4*k**3 + 502*k + 776 = 0.\nAnswer: -194, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2. Let o(z) be the third derivative of -z**4\/12 + 29*z**3\/3 + 2*z**2 + 44*z. Give o(y(h)).\nAnswer: 4*h**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040103 to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -20*b + 6. Determine u(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9212072*m*w**2 + m*w + 8*m - 7548639*w**2 - 1 wrt m?\nAnswer: 9212072*w**2 + w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 24*b**2 + 19*b + 76. Let s be t(25). Let c = s + 108. Solve 37*k - 15 = c*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 291 + -291.01. What is the fourth smallest value in k, 4, -1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 7, -7, 4 in descending order.\nAnswer: 7, 4, 0, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 912456007?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 191? (a) -1\/4 (b) 4\/7 (c) 8 (d) 2\/5 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8290 - 8285.1. Which is the nearest to -1\/4? (a) 3\/8 (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(40) + sqrt(200)\/sqrt(5)*-4 + sqrt(40))\/(sqrt(48)\/(-2*sqrt(6))) + 4)*-1.\nAnswer: -9 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 21. Suppose q*f + 16 = 2*j, -8*j + 4*j - 3*f = 3. Suppose 5*n = j*l - 0*n - 15, -4*n + 15 = 3*l. What is the smallest common multiple of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873011 divided by 6.\nAnswer: 873011\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 58235.87mg in grams?\nAnswer: 58.23587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 19. Suppose -6*a = -2*a + 1040. Let s = a - -316. What is the remainder when s is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-207)\/(-6) + 4\/(4\/1))*(94 - 92).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -19*u - 87. Is h(-20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = -2*h + 20, 0 = -3*p - 5*h + 31. Solve -2*o = -f, 3*f = 3*o + 2*o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + b + 9. Let n be l(-5). Calculate the highest common divisor of n and 319.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**1\/q*q)**(-3\/13)*(q\/(q**(-7)\/q*q))\/(q\/(q\/q**(1\/8))*q))\/(((q\/q**(-1\/4))\/q)**18)**(-6\/23) assuming q is positive.\nAnswer: q**(18149\/2392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2\/2 + 87801*z\/2.\nAnswer: 3*z*(z + 29267)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/120 - v**5\/15 - 5*v**4\/24 - 2*v**3\/3 - 6*v**2. Let t be j(-3). Solve 0 = -2*m + 3*m - t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6017 is divided by 131.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15276 to the power of 1\/2, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-2\/27)\/l)*((l\/(l**33\/l))\/l)\/l)\/(l**(1\/23)\/(l\/(l\/(l*l**(-4\/23))))))**43 assuming l is positive.\nAnswer: l**(-804917\/621)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-189))\/(32\/(-48))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4076 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8*n + 16 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/1615775 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m + 5*z = 23*m - 6*m - 45, -3*m = -26*z + 25*z + 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 45 = -9*y + 11, 4*j + 5*y = 65 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32.7 + -15.1104.\nAnswer: 17.5896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1\/3*d**3 + 0*d + 3\/2*d**2 + 1. Let y be g(-4). What is the greatest common factor of 44 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 9*z**2 - 25*z - 270. Determine r(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.05985 rounded to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, r: 2, m: 7}. Give prob of picking 1 f and 1 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144631 (base 10) to base 4.\nAnswer: 203103313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**3 - 10594*c**2 - 106162*c + 116754 = 0 for c.\nAnswer: -11, 1, 5307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.691, 35\/4, 263 in increasing order.\nAnswer: -0.691, 35\/4, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -79 and 0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -359700 to the nearest 10000.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 4 - (2 + -1)) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from svvssssssv?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1081 + 765. Let b = r - -350. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/44 and -5 + (4 - 63\/(-68)).\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2911958 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -s**5\/25 - s**4\/5 - 2*s**3\/5 - 2*s**2\/5 - s\/5 + 113. Find b, given that q(b) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 2, 166598, 3 in decreasing order.\nAnswer: 166598, 41, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -74 - -66 - (-2 + (3 - -2) + -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1232246 (base 9) to base 12\nAnswer: -2842b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, 2, -8 in decreasing order.\nAnswer: 13, 2, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12745 is divided by 2285?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.5, -2\/226949, 7, 0.5?\nAnswer: -2\/226949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*g + g - 14 - 22 = 0, 78*t - 78 = -2*g + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n - n + 5820 - n - 3*n.\nAnswer: -13*n + 5820","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let u(x) be the first derivative of -x**3\/3 + 3*x + 40. Give m(u(r)).\nAnswer: r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -11111 (base 2) to base 15\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/420 and 103\/420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5417*r**3 + 49*r - 2 + 2 + r + 76*r**2 - 55*r wrt r.\nAnswer: 32502","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f + 7*f + 4*f + 6 - 24*f as u + q*f and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 8*h - 10. Determine d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58, -7, 2.6, 3\/4?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*z**3 + 1010*z**3 + 135*z**3 - 1271*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, -3\/7 in decreasing order.\nAnswer: 0.5, -3\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3927 divided by -1\nAnswer: -3927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25250 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2336772 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 5 = -v, -79 = 4*v - d - 84 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-11)\/j**(-1\/31))\/(((j\/j**18*j)\/j)\/(j**0\/j)) assuming j is positive.\nAnswer: j**(156\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 7*h + 0*h + 0*h - 6. Let r be z(6). Let w(g) = g**2 + 54*g + 703. Let v be w(-21). Do r and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, 9, 10, 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -33*u**2 + 2119*u - 448. Give q(64).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/20 + 3\/4. Let v = 0 - 1. Let g be ((-6)\/(-39))\/(-1) + (-189)\/(-468). What is the second biggest value in b, v, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19\/3, -0.1, -3\/7, 0.5, 37\/85 in descending order.\nAnswer: 19\/3, 0.5, 37\/85, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/50 + -1)\/(12\/30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21593 = -10*d - 76*d - 57*d. Calculate the remainder when 2852 is divided by d.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*t**6 - 20*t**5 - t**3 + 2*t**2 + 598*t - 1 wrt t.\nAnswer: -15120*t**3 - 1200*t**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence chd when three letters picked without replacement from {v: 1, c: 3, j: 1, h: 1, r: 5, d: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10525379?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 3*x = 2*i + 9, -3 = x - i for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261 + 237. Which is the nearest to -0.1? (a) -4 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2494 and -0.9235.\nAnswer: -0.2303209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71870, -143743, -215616, -287489, -359362, -431235?\nAnswer: -503108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 140\/(-75) + 7\/((-105)\/2). What is the closest to i in 3, -3\/4, -0.05?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49686?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:02 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2890 - -2890.0004912. What is c rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1323)\/567*((-5)\/(-105))\/((-2)\/(-96))?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22790 is divided by 2067.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 14\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 70278 divided by 2067\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 11:58 PM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62156 + 16*s - 62156.\nAnswer: 16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 615 - 987 = -2*q. Suppose q = 3*x - 219. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 13 = 111. Let m = r + 177. Suppose -f - 3*u + 34 = -32, -u - m = -2*f. What is the remainder when f is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + v - 3)*(-2 - 5 + 1) - 2*v + 2*v + v + (0 + 0 - 2)*(3 - 3 + 2*v) + (-1 + 6 - 2)*(3*v + v - 5*v) to d + u*v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 83597011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2112656.87 to the nearest one thousand.\nAnswer: 2113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 7*q + 0*q**3 + 0 + 5\/12*q**4 + 5*q**2. Differentiate g(i) wrt i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 3:51 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*l = 94*l - 4680. Is 65 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1376 and 24080?\nAnswer: 48160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d - 4264 = 54*d. What are the prime factors of d?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 + 18*f**2 - 5*f**3 - 5 + 6*f - 29*f**2. List the prime factors of h(-12).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 8. Let y be f(8). Put 3, y, -5 in ascending order.\nAnswer: -5, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 14. Factor 353*m**2 - m**b - 353*m**2.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 0*o - 3 - 4*o + 7*o + 0. Let r be c(-12). Let j = -27 - r. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-282 - -284)*(0 - (-1 + 2)). Which is smaller: -14.9 or o?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92458 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 - 11*p + 15. Let i be c(-12). Suppose 0 = 5*w, -3*w + 13 - i = 2*t. Suppose 5*m + o - 776 = 36, -t*o = -4*m + 667. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:18 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -515509 divided by 2699\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 251*t**2 + 93*t - 2295. Is v(29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*y**2 - 22*y + 14*y**2 + 18*y.\nAnswer: -24*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 387 is divided by 108?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 - 9836*a.\nAnswer: -4*a*(a + 2459)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.5. Let s = 35 - 39. Which is the second biggest value? (a) s (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 + 2*g**2 + 45 + 4*g**3)*((4 - 3 - 2)*(-2 + 2 + 1) + (-19 - 23 + 29)*(1 - 2 + 3)) as w*g**2 + k + j*g**3 + n*g and give j.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.3? (a) -0.4 (b) 0.03 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3973 - -0.4973. What is the third smallest value in h, -0.019, -1?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -396360 to the nearest one thousand.\nAnswer: -396000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 - 332198*g**2\/7 + 664393*g\/7 - 332196\/7.\nAnswer: (g - 332196)*(g - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -11635\/19887?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*556587.\nAnswer: -278293.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -262501*v**3 - 3*v**2 - 2*v. Let p be k(-2). Round p to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344846.\nAnswer: 2, 172423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552773?\nAnswer: 13, 101, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -6. What is the second derivative of -a*d**2 - 6*d + 15*d + 9*d wrt d?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine quarters of a hour?\nAnswer: 44100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*y - 2 - 8, -4*y + 26 = 5*d. Suppose 5*p - 25 = -y*h - 0*h, 4*p = -2*h + 20. Suppose -4*i + p = -3*i. Solve -i*q - 4 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81962 - -157068. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 3 - 0 - (0 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18768)\/(-161))\/(-34)*28\/6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 81216.5 years?\nAnswer: 8121.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -78508, -80441, -82374, -84307, -86240, -88173?\n\"Answer: -1933*q - 76575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*6 - 6\/3. Let q(v) = v**2 - 5*v + b + 9*v + 5*v - 4*v. Let o be q(-4). What is o rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*h)*(2 - 4 + 1)*((-2*h - 2*h + 0*h)*(0 + 2 - 3) - 4*h + 1 - 4*h + 5*h + 9 - 66*h - 9).\nAnswer: -130*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*v + 2*u = -224*v - 3 + 34, -3*v + 3*u = 99 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1823, 1885, 1951, 2021, 2095?\nAnswer: 2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9896 is divided by 88?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 134 = 2*t, t = -3*y + 21 + 82. Suppose 0 = 3*o - y - 32. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -3*r**4\/8 + 19*r**3\/3 - 52*r**2. What is the derivative of w(f) wrt f?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 48 + 6 = 0. Suppose -12 - n = -3*l. Suppose -3*j + l*j = -2*w + 26, -16 = 4*j. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57186\/5*385\/(-1). Let o = 11203322 + w. Round o to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-72)\/1008)\/((-2)\/7). Let q(n) be the second derivative of -3\/20*n**5 + 7*n - f*n**4 - 1\/6*n**3 - 1\/30*n**6 + 0*n**2 + 0. Find c, given that q(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 7*r**3\/6 - r**2 - 3*r. Suppose 3*q - 10 = l - 2*l, -50 = -5*q + 5*l. Does 11 divide n(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 7 - (-15 - -26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 382.0220361472 and 2.\nAnswer: 384.0220361472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 7 = -y, 94*j = 95*j - 5*y + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 73*g**3 + 76*g**3 + 2*g.\nAnswer: 149*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14143, -15626, -18097, -21556, -26003?\nAnswer: -31438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21799677 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323.817 - 324. What is a rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 98 + -106. Suppose 8*o = 3*o + 15. Let r = o + s. Put r, 2, 1, -4 in descending order.\nAnswer: 2, 1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 7847?\nAnswer: 47082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 107 - 59. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l + 3. Suppose -2*x - 14 = -5*i, 0 = 2*x + 2*x + 5*i - 32. Let q be n(x). Suppose -h = -2*h + q. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 15*v + 1. What is i(-8)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573)*-1 + sqrt(1573) + sqrt(13) + -3)**2.\nAnswer: -6*sqrt(13) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gnmggxxnmgm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*w + 1 = -0, f = -5*w + 4. Let y be 2\/(-1) + f\/(-1)*-2. Suppose m + 5*p - 18 = 1, -5*m = -5*p - 5. Sort y, m, -2 in descending order.\nAnswer: m, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 - 23*g + 13. Calculate z(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -264*v + 143. Let i(n) = -11*n + 6. Determine -6*d(c) + 143*i(c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -104 (b) 4 (c) -0.6 (d) -9 (e) -2\/7 (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3196854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.049 + -0.149. What is the nearest to 2\/3 in -3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670058 divided by -338?\nAnswer: -4941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/(-1 - 1)*(-26 - -27). Let l = -425\/13 - i. Put -0.5, -3, l in increasing order.\nAnswer: -3, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72344 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 24*z**3 - 71*z**2 + 26*z + 53. Is p(20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*q - 138*q - 21*q + 4 - 84*q - 59*q as o*q + w and give o.\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.26988g in nanograms?\nAnswer: 63269880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*s**2*t + 6*a*s*t - 5*a*s + 2*s**3 + 2*s**2*t + 3*t wrt s?\nAnswer: 2*a*t + 12*s + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.3 and 86672795?\nAnswer: 86672787.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -530 < 554?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 8, p: 2}. Give prob of picking 3 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x**(-2)))**0*x*x\/x**(-2\/5)*x**(4\/9) assuming x is positive.\nAnswer: x**(128\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - 2*p + (5 + 2 - 6)*(-p - p + p) - 3*p - 3*p + 4*p - p - p + 0*p + 344*p - 378*p + 172*p + 19 - 19 - 7*p to the form u + m*p and give m.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3137)\/3339 + -5 + 330\/70. Let q = -60\/371 - r. What is the common denominator of 125\/12 and q?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 344 (b) -1 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*v**2 - 936150 + 2370*v.\nAnswer: -3*(v - 790)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386106 divided by -42?\nAnswer: -9193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 20 + 12. Find the third derivative of 42*l**2 + 5*l**4 - 2*l**w - 45*l**2 + 3 wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*f + 8 + 8, f + 44 = 3*c. Let s(l) = 16*l + 60. List the prime factors of s(c).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/44 - 378\/(-22). What is the greatest common divisor of v and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -19, -3, 3 in descending order.\nAnswer: 3, -3, -19, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 393*u**2 + 69948*u - 1068.\nAnswer: 3*(u + 178)*(131*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111233137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 824477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**3\/7 - 118*k**2\/7 - 240*k + 1800\/7 = 0.\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 3, 1224, -5.\nAnswer: -7, -5, -1, 3, 1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, w: 3}. Give prob of sequence zwww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgkjdwg. Give prob of sequence dk.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -21203425?\nAnswer: -21203430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + v + 12*v**2 + 3*v.\nAnswer: 5*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 375, 986, 2005, 3432?\n\"Answer: 204*y**2 - y + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 1425.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199 is divided by 65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 196, 221, 246, 271, 296?\n\"Answer: 25*l + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 56638289 to the power of 1\/3, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -55.2 times -0.3\nAnswer: 16.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02767 + -1.02767. Which is the closest to 5? (a) -7 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12482*d**4 + 178224*d**3 + 357480*d**2 + 194400*d.\nAnswer: 2*d*(d + 12)*(79*d + 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r + 4. Let t be h(0). Let b be (0 - -1)*16\/t. Suppose -4*w + 137 = -3*f, b*f = -4*w + 2*f + 162. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -0.3, 2\/27, 3\/2 in increasing order.\nAnswer: -2\/5, -0.3, 2\/27, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624*z - 1244*z + 610*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 20. Let k = 8916 - 3161. Suppose k = -x*g + 24255. Round g to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 7\/3, -1\/4, 54, -0.03, 1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 - -46) + (-20 + -1 - (38 - 36))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7\/1741 - -3461\/5223. Factor -r - 4\/3*g - 2\/3*g**2.\nAnswer: -2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -588915, -588901, -588861, -588783, -588655, -588465, -588201?\nAnswer: -587851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27 * 55.9\nAnswer: 1509.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4 - 12 - 3*b + 23*b**2 + 4*b - b**3 - 27*b**2. Let i be q(-5). Solve 2*o + i*j - 14 = -j, 0 = -4*j + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7552.995 rounded to the nearest 10?\nAnswer: -7550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011100111011101 (base 2) in base 16?\nAnswer: 1b9dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -252177*z + 252175*z - 174, -2*z = 4*m + 138 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j + 2, 249*j - 1 = 5*w + 248*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 + 1 + 2*f + f + 5*f + f as w + m*f and give w.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-126)\/(-10))\/(1\/(-55)). Is (3 + r\/12)\/((-2)\/24) a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 415 - 412. What is the closest to -1 in -0.04, 5, x, 4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 3*l**2)*(-l + 3*l + 0*l) + l**3 + 67*l - 67*l.\nAnswer: -5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mwllgg. What is prob of picking 2 l and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(1584) + sqrt(1584)*-3 + sqrt(33)\/(sqrt(3)*-2 - sqrt(3)) + -5.\nAnswer: -70*sqrt(11)\/3 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1180 = 19*f - 340. Suppose -6*q = -148 - f. Calculate the remainder when 101 is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 8, f: 4, j: 3}. Give prob of sequence mj.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26801 is divided by 975?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*sqrt(28) - (0 + sqrt(112))).\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/((-28875)\/(-60)))\/((-5)\/(-50)*-2).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 69 + 9 = 0. Let t = d + -4. What is the remainder when 14 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, -1.4688, 7\/5, -5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -5\/32*d**4 + 2*d - 1\/2*d**3 - 3\/160*d**5 + 65 - 3\/4*d**2. What is c in k(c) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v - 34 = -18*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -128879*h - 128882. Calculate l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 144 - 107. Calculate the remainder when 217 is divided by s.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73.2 + 73. Sort j, -0.5, -3 in decreasing order.\nAnswer: j, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375955 - 37.8092956?\nAnswer: 1375917.1907044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 < 1225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -11\/2, -0.02, -68?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**4 + 27*i**3 - 47*i**2 - 18*i + 6. Let v = 34 - 40. Let d(f) = 3*f**4 + 27*f**3 - 48*f**2 - 19*f + 7. Let s(y) = v*d(y) + 7*k(y). Factor s(x).\nAnswer: -x*(x - 4)*(x - 3)*(4*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from uufgfusfuku.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -9*w - 60. Let y be q(-7). Suppose 2*c - 330 = 4*n, -2*n + 0*n - 487 = -y*c. List the prime factors of c.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*a = -24*a - 6222. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {r: 1, i: 1, p: 1, x: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**5\/5 - 3*b**4\/2 - b**3 + 5*b**2 - 318. Suppose h(c) = 0. Calculate c.\nAnswer: -5, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2345)\/(-118))\/7 - 2. Let u = d - 1\/177. Suppose -3*h = 5*l + 1, 3*l + 5*h + 3 = -4. Sort u, l, 2\/17 in increasing order.\nAnswer: 2\/17, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 4 - 1 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 266 a factor of 158968782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**4 + 2*p**4 - 3*p**4)*(-1 + 2 + 2) - 6*p**4 - p**3 + p**3.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-30))\/(10\/60).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) -2 (c) 2\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -5, 138, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, s: 4, l: 3}. What is prob of sequence sool?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 698 - 122. Suppose -j*p = -818*p - 210. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 5234*i - 1737*i - 1506*i - 1582*i. Let a(w) = 5*w**2. What is a(d(s))?\nAnswer: 836405*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 503072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 1463*u**2 + 3675*u - 3676. What is r(734)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9984 divided by 3\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11942807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 625*o - 614*o - 22 = 0, 3*o = y + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -52. What is the least common multiple of 30 and t?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, r: 7, k: 1, w: 6}. What is prob of sequence ww?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*(p\/(p*p**6))\/p*p)\/p)\/p)\/(p\/(p**(-8)\/p)*p)*p**(-1)\/p**9)\/(p**(-5\/3)\/(p\/(p**3\/p))*p**(2\/9)\/p*p*p\/(p*p*p**(-2\/11))) assuming p is positive.\nAnswer: p**(-2548\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 7. Let g(l) = 4*l**2 + l + 6. Let x(v) = 6*g(v) - 5*h(v). Let u = 8 - 4. Is 4 a factor of x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**3*u + 1200668*c**3 + 2289*c**2*u - 45*c**2 + 37 wrt c?\nAnswer: 12*u + 7204008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 2*r**2 - 14*r. Let d be x(5). Solve -d*a - 9 - 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2030 - -2051. Calculate the remainder when 129 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 + -60)\/2)\/((-531)\/(-354))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23563329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 12 (c) 0.1 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*3772176.\nAnswer: 64126992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 + (-24)\/(-10). Let u(o) be the first derivative of 5*o**2 - 3*o - 44. Is u(m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-45))\/((-6)\/(-15)). Which is the closest to 1? (a) 4 (b) g (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 7*n = 0. Let u = 3 - n. Suppose -24 = -3*d - 5*i, -u*d - 5*i + 21 = -i. Solve 6 = k - d*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6858321.\nAnswer: 3, 67, 149, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 5758050?\nAnswer: -1151610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.06838 and -1.\nAnswer: -3.06838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*s + 32*s. Sort 11, -2\/13, s in descending order.\nAnswer: 11, s, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15813, 15785, 15739, 15675, 15593, 15493?\n\"Answer: -9*m**2 - m + 15823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28293 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 3:08 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2*m + m)*(-m + 2*m - 2*m) - 135 + 112*m**2 + 135.\nAnswer: 110*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001162481145 to 5 dps.\nAnswer: 0.00116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -98*m + 1. Let s(a) = -3*a + 6. Let h(f) = -5*f + 11. Let l(w) = -6*h(w) + 11*s(w). What is t(l(c))?\nAnswer: 294*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3510904\/111 - 31630. What is the common denominator of -127\/18 and u?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 3.3 (c) 1.772\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 1\/20, -0.31, 803, 0.5?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/60 + k**5\/4 + 13*k**4\/24 - 35*k**3\/6 - 2*k**2 + 106*k. Let w be f(8). Solve -5*g = w*z - 15, -z = -2*z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pyqpprepyyql. Give prob of sequence qqly.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)\/o*o)**(-1\/9)\/((o\/o**(-1\/2))\/o**(3\/2)) assuming o is positive.\nAnswer: o**(-2\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -19.5. Let w = d + 2. Which is the second biggest value? (a) 0.06 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 567, 1138, 1711, 2286, 2863?\nAnswer: 3442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.762 + -9.762. Which is the third smallest value? (a) -1\/2 (b) p (c) -2\/15 (d) 0.1 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164595001?\nAnswer: 164595001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - 2*x**3 - x + 0*x**3)*(0 + 1 + 2)*(2 - 2 - 3*x).\nAnswer: 18*x**4 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3 - 2) + 5 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4081\/(-1484))\/(2\/(-488)). Calculate the highest common factor of 143 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 + 9*d + 5*d**2 - 2 - 15*d + 4*d**2 = 0. What is d?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - 1)*(-1)\/(-2). Let q be (-2 - -4)*(4 + o). Suppose -a + 2 + q = 0. Calculate the remainder when 40 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.088*0.060043.\nAnswer: 0.005283784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/3506 and -107\/14.\nAnswer: 24542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -159b0a (base 13) to base 16.\nAnswer: -82cbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 3740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.4981081 centuries?\nAnswer: 49.81081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, g: 1, d: 2, k: 1, z: 2}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4262 times 0.12\nAnswer: 511.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bcdb (base 14) in base 2?\nAnswer: -11010101111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2844 - 2611. Calculate the remainder when a is divided by 79.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*8710.\nAnswer: -11323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 19*o + 26 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1078)\/(-616)*(10\/28)\/5.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*d*f**2*y**2 + d*f**2*y + 3*d*t + f**2*t + f*y**2 + 103*y**2 wrt d.\nAnswer: -12*f**2*y**2 + f**2*y + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -67843, -135678, -203513, -271348?\n\"Answer: -67835*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 + d - 2. What is the smallest common multiple of 12 and h(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**3\/5 - 1538331*v**2\/5 - 4614966*v\/5 = 0.\nAnswer: -512774, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 251024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2330 + 3063. Is x even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3) + 0 + -12 + (-608 - -613)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12117 (base 8) to base 16.\nAnswer: 144f","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Calculate ((-24)\/(-88))\/(18\/24).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -62\/7 (b) 165 (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12 + 8 + 37 + -1. Suppose -5*j = -4*j - h. Let b = 36 - j. Solve y + b = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-12)*3\/(-2)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/956 and 29\/717.\nAnswer: 2868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -327 and 3180.\nAnswer: -1039860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5296 and 13249268?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 - 105*d**2 - 306*d - 14913. What is w(-36)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -10) + (3 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -4 - 2 - 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 13*u - 4 - 58*u + 48*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 17 (b) 4.8 (c) -0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 3 + 3 + -4.\nAnswer: sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-44 + 45 + -39)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13739068\/5 + 2747814. Let u = 0.05 - -0.35. Let p = 0.26 - u. Sort p, t, 1\/8, -2.\nAnswer: -2, p, 1\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmqvzqmqqqqvqzhhq. Give prob of picking 1 v and 1 h.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2. Let b(h) = -24*h**2 + 12. Determine u(b(y)).\nAnswer: 576*y**4 - 576*y**2 + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66258, -132854, -199450?\nAnswer: -266046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*(((sqrt(108) - sqrt(108)*-1) + sqrt(108) + sqrt(108))*-3)\/((-2*sqrt(20))\/sqrt(5)).\nAnswer: -108*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -33 + 15 + 16. Let c(h) = 2*h + 6*h - 3 - 15*h + 4*h + 4*h. Calculate 3*c(b) - 5*u(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 176 and 26686?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 10\/1387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 1:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, w: 3}. What is prob of sequence qqq?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -343.16 + 333. Let u = 3.81 - c. Let h = 13.3 - u. What is h rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1537282.\nAnswer: 2, 768641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbwbbrs. What is prob of sequence bs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15594 divided by -5198.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 11*n + 4. Let a be s(-11). Suppose 5*l + 78 = -4*b, -3*b + 13 = -a*b + 2*l. Let m(f) = f**2 + 18*f + 23. What is the units digit of m(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 356*u**3 + 266702*u**2 - 92813402*u.\nAnswer: 2136*u + 533404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*a**3 - 8*a**3 + 3*a**3 + 3*a**3 + 1 to w + m*a**2 + y*a**3 + s*a and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 72*n**2 - 140*n - 562. Calculate c(-4).\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21118 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 211806112*p**2 + 84*p - 83041?\nAnswer: 423612224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by -4*(-282)\/72*3?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -272*d**3 - 35*d**2 + 12*d + 11. Let b(a) = -55*a**3 - 7*a**2 + 2*a + 2. Let x(o) = 11*b(o) - 2*z(o). Find the third derivative of x(t) wrt t.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 1 - 1 - m)*(5*m**2 - 4*m**2 - 3*m**2).\nAnswer: 6*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3 - 3 + 5 - 1 + 0 - 1 + 3 - 4 + 3 + 3 + (-3 + 0 + 2)*(4 - 1 - 5) + 2 - 4 + 4)*(5*c - 4*c - 3*c).\nAnswer: -22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -201276 in decreasing order.\nAnswer: 1, -5, -201276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141231 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225444128.\nAnswer: 2, 7, 13, 77419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 976 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + l - 3 - 6, 0 = 3*l + 15. Suppose d*a = 19*a - 25. Solve -4*p - a = 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 302900, 302905, 302910, 302915, 302920?\n\"Answer: 5*w + 302895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54437329159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**5\/60 - p**2 - 15. Let h(l) be the second derivative of w(l). Let u(m) = 3*m**2. Give u(h(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 11 = -5*w + 7*o, -4*w + 2*o + 4 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1089)*1 - sqrt(9))\/(2*sqrt(3)*-1).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 126\/(-12)*(-12)\/7. Suppose l = 5*t - l - 364, -l = -5*t + 362. Calculate the greatest common factor of t and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38272075 divided by -17?\nAnswer: 38272075\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. Let m(s) = -s**3 - s. Let n be m(j). Calculate the highest common factor of 20 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1661 + 1665. Solve 0 = 5*c + y*f + 3, c - 5*f + 1 - 12 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47488, 0, 3 in ascending order.\nAnswer: -47488, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20285*-28.3\nAnswer: 574065.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {s: 7, x: 4, n: 7}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g*g**(-2\/3)*g)*g**(-2\/13))**23 assuming g is positive.\nAnswer: g**(-2231\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 8*f - 20)*((-f + f + 2*f)*(2*f + 1 - 1) - f**2 + 2*f**2 + 0*f**2 + 0 + 0 - 2*f**2 + 7*f**2 - 2*f**2 - 4*f**2).\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/1570 and 59\/280908325.\nAnswer: 561816650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 + 4*r + 5. Let u(o) = 3*o - 6*o**2 - 41 - 41 + 86. Let f(w) = 3*a(w) - 4*u(w). Give f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by (-1)\/(-1) + 160\/8?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 21406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.409823 nanograms in milligrams?\nAnswer: 0.000001409823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/10*(-10470)\/4 - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let w(o) be the first derivative of 57*o**2\/2 - 44*o + 2202. Give j(w(v)).\nAnswer: 6498*v**2 - 10032*v + 3872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 - -0.3. Let u = -130 - -130.1. Let r = -0.6 + 2.6. Sort u, r, s in decreasing order.\nAnswer: r, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 87*k - 6751. Determine s(77).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 - 4*c**5 - 5*c**5 + (-7*c + 3*c**3 + 7*c)*(4 + 2*c**2 - 4).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6512400 rounded to the nearest ten thousand?\nAnswer: -6510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**6\/15 - 437*f**4\/3 - f**3\/2 + 203*f**2\/2 - 1571*f. Find the second derivative of u(t) wrt t.\nAnswer: -24*t**2 - 3496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 3*d = -8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -1690\/681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 2, 11, -74 in decreasing order.\nAnswer: 11, 2, 2\/11, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -2\/11, -1\/4, -4\/5, -155, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30302 (base 4) in base 16?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23459013?\nAnswer: 3, 409, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 4:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - ((-16 - 23 - -23) + 130 - 4).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**3 - 2*f**3 - f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1700) + 1)**2.\nAnswer: 40*sqrt(17) + 6801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u + 10*u - 3216 = -53*u for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1ac (base 14) to base 16\nAnswer: 15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9616898, 19233714, 28850530, 38467346?\nAnswer: 48084162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 6*x + 215526 + 3*x + 5*x + 0*x - 215514.\nAnswer: -x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 1:44 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + 0. Let c(y) = -y + 3*y - 3*y**2 - 8*y + y**3 + p - 2*y**2. What is the units digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -0.3. Let l = -21.94 - -21.96. Sort 5, l, p.\nAnswer: p, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 9 = -8*z + 3*x, 2*x = 2*z - 2. What is the third derivative of 286*r**z + 6*r**4 + 33*r**4 - 328*r**2 wrt r?\nAnswer: 936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Let p(s) = -5 + c*s + 2 - 1 + 0. Is p(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7*p**3 + 16\/7*p**2 - 8\/7*p + 2\/7*p**4 + 0.\nAnswer: 2*p*(p - 2)**2*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13444.4576 rounded to the nearest 10?\nAnswer: 13440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 216 divide 10466386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (13 - (1 - 4)). Suppose -w*j + 23*j - 42 = 0. Differentiate 116*o - j*o**4 + 20 - 116*o with respect to o.\nAnswer: -28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 3*l + 2. Let u be m(-2). Let p = 11 + -3. Let d be ((-3)\/12)\/(6\/p). Put -0.1, d, u in descending order.\nAnswer: u, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2357 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**5\/10 + 25*q**3\/6 + 668*q**2 - 2*q - 295. Differentiate a(l) wrt l.\nAnswer: 6*l**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdyke. What is prob of picking 1 w, 1 y, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-6))\/(-13 + 42\/4) and -115\/912.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -23. Let t = -112 - -123. Suppose -4*f = -3*x - t, 0*x - d = -x - f. Solve -y = 3*p + 16, x*p + 12 = -4*y + 4*p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4217?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29622, 29618, 29616, 29616, 29618, 29622?\nAnswer: 29628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*y**2 - 45*y**4 - 128*y**3 + 127*y**3 + 90*y**4 - 44*y**4 - 8 in the form l*y**2 + t*y**3 + f*y + d + n*y**4 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.13 (b) 4\/3 (c) -1 (d) 0.09 (e) 0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 2248\/14163 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6709?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -4313272.\nAnswer: -1293981.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 19 = -s, 3*y - 35 = -s - 2*y. Let u(p) = -2*p**3 + 30*p**2 + 2*p - 23. Let r be u(s). Solve 4*f + 5 = -r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 11:29 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.3, -65288, 1\/4, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 15724 = -4*k, 7*k = -4*n + 9*k + 12584. 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 93 plus -1373?\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7365 and 18780?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 2*o**3 - o**3 + 0 - 9*o**2 - 1 - 3. Let y be c(9). Let g = y + 36. Calculate the greatest common factor of 92 and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -52*o - 21 - 31 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -26 + (10 - (5 + -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 1)*-1 + 16. Suppose -9 = -3*s - z + 6, f = 4*s - 2*z. Suppose 5*i - 39 = -m, -s*m + 5*i - 94 = -259. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 415288?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18552*j**3*n + 82741125*j**3 + 2*j*n + 189*n wrt n.\nAnswer: -18552*j**3 + 2*j + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 543*y**2 - 541*y**2 - 3*y + 3*y.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2184055 is divided by 435980.\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*5\/15*(-4 + -14 + 20). Let u be ((-6)\/(-7))\/(1\/7). Put l, u, 5 in decreasing order.\nAnswer: u, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - n**2 - n + 1. Let p = -1 - 0. Let x(r) = -r**2. Let z(u) = 4*u**3 + 3. Let a(f) = 2*x(f) + z(f). Let q = -1 + 3. Give p*a(g) + q*l(g).\nAnswer: -2*g**3 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-9) + (-31990)\/126. Let t = b + 483. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*i - 6 = -116, -4*f - 5*i + 91 = 0. Solve -1 = -2*b + 4*j + 7, -2*b - f = 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005199 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41621097*f*j + 154591136*f wrt j.\nAnswer: 41621097*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/70*(-3 + 9903\/(-372)). Let s = 2\/217 + x. What is the common denominator of s and 53\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k + 1 - 1. Suppose 2*t = 10, p + 0*t + 5*t = 89. Let c(l) = 2*l**2 + 64 - p. What is v(c(o))?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -0.35.\nAnswer: -0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 790747733.4 to the nearest 10000.\nAnswer: 790750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26089?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0519 - -5.0519. Let r = 8 + -6. Which is the nearest to 2? (a) 0.1 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3029616266, -3029616265, -3029616264, -3029616263, -3029616262?\nAnswer: -3029616261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1185 + 215 = 7*c. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/3)*p\/p**7)**50*(p**(-2\/5)\/p)**(2\/3)*(p**(2\/7)\/p)**(-8\/11) assuming p is positive.\nAnswer: p**(-122076\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-392)\/(-56)*((-4)\/(-36))\/(4\/60)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -246704 + 431?\nAnswer: -246263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/322 and 3\/460.\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 5, v: 8}. Give prob of sequence vjj.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l + 5*p = -30, 2*l = -4*p. Suppose -5*d + l*k + 3552 = 0, 0 = -3*d + 2*k + 3249 - 1117. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/35030330 and 69\/16?\nAnswer: 280242640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/7))**47*j*j\/j**1*j**(-2) assuming j is positive.\nAnswer: j**(416\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {x: 7, c: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-3)\/(-9)*-3. Does 16 divide (1 - (-2)\/v)*92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.19 * -4069.\nAnswer: -773.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 5379908.\nAnswer: -7\/5379908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and -52?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6645.98 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((223\/(-1338))\/((-2)\/(-12)))\/(2\/(-19)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -105635735 and -0.7?\nAnswer: 73945014.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w**3 - w**2 + 2*w - 1. Give k(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 4*z - 130, -3*m + 7*m - 6 + 10 = 3*z + 33 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1000\/11 + 2\/11*v**3 + 0*v - 30\/11*v**2.\nAnswer: 2*(v - 10)**2*(v + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 60. Suppose 7*n - 3*n - i = 0. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 + -0.28. Let r = l - -0.1299937. What is r rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5 - -3)*(-48)\/(-2688))\/(12\/(-14))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86209219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44120*q**3 - 44671*q**2 wrt q?\nAnswer: 264720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 448056*f**3 + 290388*f**2 + 95607*f\/2 + 243.\nAnswer: 3*(28*f + 9)**2*(381*f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d + 728 = -98 for d.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101483623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.54 times 11.9\nAnswer: -18.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a microgram in nanograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + (0 - -3)) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -1\/60, -0.0453?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116047 (base 8) in base 4?\nAnswer: -21300213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:16 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103296*d**5*p**2 + 7*d*p + 983*p**2 wrt d.\nAnswer: 2065920*d**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 45 = 53. Which is the closest to 1? (a) -5 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 15 = 4*t + 3*h, 15 = -5*t - 3*h. Let y(p) = p**3 - p - 4. Let j be y(t). Sort 0, -5, j.\nAnswer: -5, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -18. Let k(i) = 3*i - 2. Let y be k(j). Suppose y*t**3 - 6*t**3 - 6 - t**3 + 9*t = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*h + 26. Calculate the remainder when 62 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15461471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 9*q**2 + 13*q - 9. Calculate the remainder when 77 is divided by u(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = 3*p - 84, -3*z + 75 - 4 = -3*z + 3*p + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(147) + sqrt(147) - sqrt(147) - sqrt(147) - sqrt(147))\/sqrt(7))\/(sqrt(21)\/(sqrt(3) + sqrt(3)*-5)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 556 + -252. Suppose -n = -6*c + 2*c. Suppose -d = 3*d - c. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775 is divided by 295.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32 + -110)*16\/(-6). Let f be -6*5\/70 + i\/28. Let u(s) = -4*s + 9. Give u(f).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 8*o**4 - 2*o**3 - 2*o**3 - 157*o + 3*o**3 + 155*o + 2 in the form r*o**4 + v + n*o**3 + h*o**2 + b*o and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 230212601 rounded to the nearest one million?\nAnswer: 230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00041811783 rounded to 5 dps?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - ((-2 + sqrt(72) - sqrt(72)) + 2 + sqrt(72))) + (1 + 3 + sqrt(72) - sqrt(72)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*t + 14*t - 195. What is the remainder when 76 is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one quarter of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*p - 100 = 0, 142 + 193 = 4*t - 3*p. Suppose 54*g = 57*g - 48. Calculate the highest common factor of t and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 <= 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10, n: 4, s: 1, a: 5}. Give prob of sequence xa.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kktkkatnzkkzknknk. Give prob of picking 2 k.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = 132. Suppose 5*r - s + 10 = -o, -4*o + 2*r + 158 = 0. Find the common denominator of o and -65\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 789987 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + l + 14, -3*j + 2*l = 367 - 383 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-66)\/(-32)) + (-224664)\/(-12672) - (5 - -6).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8012242?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3672, -3673, -3674, -3675, -3676, -3677?\nAnswer: -3678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 15*s + 18 = -42 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*x - 26 - 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13698.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 2*n**2 - 3*n - 4. Determine d(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 98, 16, 2\/7, -6 in increasing order.\nAnswer: -6, 2\/7, 5, 16, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 32, 59, 86, 113, 140?\nAnswer: 167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -j - j + 3*i, 10 = 4*j - 2*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -8\/3, 2, 3\/10 in ascending order.\nAnswer: -8\/3, -0.1, 3\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q*q\/q**(-3\/2))**(-3\/7) assuming q is positive.\nAnswer: q**(-33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/12 and 7\/880?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -15*y + 3. Let h be v(2). Let n = -20 - h. What is the remainder when 19 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*m + 45 = 2*a, 3*a - 3*m = 15. Solve 4*u - a = -3*c - 3, 5*u + 3*c - 11 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b7 - 2?\nAnswer: 2b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 767 + -744. Which is greater: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4410216 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-113)\/(-226)*32\/(((-56)\/(-16))\/7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a century in years?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/431 at most -4\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 12:23 PM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16141 is divided by 15497.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:59 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 10, 2*l + 4*u - 4 = 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273936099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 1300*g**2 - 169484*g - 1033. Calculate n(147).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-54))\/(0 - 1\/39)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhshhhhhhhhh. Give prob of sequence hhhs.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*i, 10 = -5*d + 2*d + i. Let q be 2\/d*9*(-96)\/144. Solve 4*a + 18 = n, -q = -n + 2*a + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50292395 divided by 50292395\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 3\/4, 7128, 2\/13, -1\/2, -2\/57?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(-124 + 124 - 44*g**4)*(-3 - 4 + 6) as q + i*g**4 + l*g + p*g**3 + o*g**2 and give i.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.28 (b) -18 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -417\/5 + 83. Which is the smallest value? (a) 4 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 + -3. Suppose 8*s + 52 = 4*s. Let t = s + 9. Sort n, -3\/5, t in ascending order.\nAnswer: t, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 10 = -2*a, 7 = -2*a - 2*h + 17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) -1 (c) -29.13 (d) 13 (e) 0.1 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*m - 4. Let z(k) = -k**3 - k**2 + 4*k + 3. Is 14 a factor of z(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 429 + -427. Suppose -y + 14 = 2*j, -r*y + 18 = -j + 3*j. Let z = -0.5 + 0.3. What is the second smallest value in j, z, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 736673.5 years to decades.\nAnswer: 73667.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 513 - 306. Find the third derivative of -o*g**5 - 7*g**3 + 7*g**3 + 94*g**5 + 33*g**2 wrt g.\nAnswer: -6780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/15)\/(2\/5). Suppose 0 = -j*d + 3 + 1. Solve -d*a + 11 = -f, 1 + 2 = -3*f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58172084.\nAnswer: 2, 1583, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 499, 33, 9 in increasing order.\nAnswer: 9, 33, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2407*k**2 - 38*k - 165. Let z(y) = y**2 - 18*y - 68. Let f be z(21). Let n be h(f). What is n rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.8+-1109665991.982\nAnswer: -1109665994.782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 3.88 (c) -2 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 460, 936, 1438, 1978, 2568?\n\"Answer: 2*x**3 + x**2 + 459*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*j - 422 - 700. What is the least common multiple of j and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26801 divided by 17\nAnswer: 26801\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*g - g. Let r(k) = 5*k**2 + k. Let c be r(-1). Find the second derivative of -g*i + 5*i + c*i**2 - 3*i + 3*i wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n**5\/2 + 219*n**4 - 171*n**3\/2 - 594*n**2 - 294*n = 0. Calculate n.\nAnswer: -49, -1, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3168718, -6337477, -9506278, -12675121, -15844006, -19012933?\nAnswer: -22181902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 8:18 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lswqusqw. Give prob of picking 1 q and 1 s.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2822895549 to the power of 1\/2, to the nearest integer?\nAnswer: 53131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**4\/2 - 15*u**3 - 253*u**2\/2 - 111*u = 0.\nAnswer: -6, -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + a + 0 = 1, 4*o = a + 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 6) to base 8.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41615 is divided by 694?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-4))**(-1\/42))**(-2\/15))**43 assuming z is positive.\nAnswer: z**(-172\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 5166.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0)**(-24\/11)*n**(2\/9)*n**(-1\/3))**(-9) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0*(-2)\/8)\/(-4). Let o be 17\/36 + k + 2\/(-9). Let w = 6 - 4. What is the closest to 3 in w, o, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5 - 3 + 6*c + 22*c - 2*c. Let f(t) = -2*t**2. Determine f(p(r)).\nAnswer: -1352*r**2 - 208*r - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.025.\nAnswer: 0.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14378 divided by -553?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 r, and 1 u when three letters picked without replacement from {i: 8, e: 9, r: 1, u: 2}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1424798 and 108532?\nAnswer: 1262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c - 6*c - 5*c)*(-2*c**2 + 1 - 1)*(-50 + 14 - 88) to the form z*c**3 + b*c**2 + u + o*c and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -15*o**2. Suppose 2*z + 3*v = 21 - 9, 3*v = 6. Let r(y) = -4*y**2 - 6*y. Let b(s) = -3*s**2 - 4*s. Let u(h) = z*b(h) - 2*r(h). What is m(u(t))?\nAnswer: -15*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.36 - -1.46. Let c = -9 - -12.4. Let f = c + -3.1. Which is greater: f or q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 132 and 4398228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 0*d - 8 = 0. Let g be -24 + 1\/2*d. What are the prime factors of g*((-2)\/(-4) + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1353856m to micrometers.\nAnswer: 135385.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 + -57. Suppose -4*m - 93 = -4*r - 293, -c*m + 2*r + 262 = 0. What is the remainder when m is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178, -607, -1184, -1795, -2326?\nAnswer: -2663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -p**8\/168 + p**5\/20 - 2*p**2 - 3. Let i(t) be the second derivative of v(t). Find the third derivative of i(d) wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 15)*(-1 - -9) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 86*s - 1821. Calculate f(24).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 9. Suppose -2*i - i = -4*g - 35, 0 = -3*g + 5*i - 29. Let t be (-27)\/(-4) + (-2)\/g. What is y(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.14 + -0.13. Let q = w - 0.11. What is the nearest to -1\/3 in q, 0.1, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -13*r**5\/15 - 5*r**3\/2 - 41*r**2. What is the derivative of x(l) wrt l?\nAnswer: -104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + -7 + 2)*(-2)\/(-2). Let v = -34 + 49. Let r = v + m. Solve -f = -4*f - r for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/66)\/(10\/(-58945)). Let t = l - -715. What is the common denominator of (19\/(-5) + 4)*(-774)\/(-54) and t?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 204 = -l. Is l a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -48858\nAnswer: 195432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143232 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40701540 and 30?\nAnswer: 40701540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -17023.3 to the nearest 10.\nAnswer: -17020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 362216100 to the nearest 1000000.\nAnswer: 362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 35*a + 40*a = 8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y = 14*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -317 + 1307. Is 51 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 89, 2\/9, -0.2, 5, -1\/3, -2\/19, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4\/13 - 24*b**3\/13 + 110*b**2\/13 + 300*b\/13 = 0. What is b?\nAnswer: -15, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + h + 0 - 3 + 2*h + 3 + 0*h + 3*h - 2*h + (0 - 3 + 4)*(3*h - h - h) + 5*h + 0 + 0 as p*h + q and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -11*s**5\/20 - s**4\/12 - s**2\/2 + s. Is f(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 1:43 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 3, -2 in ascending order.\nAnswer: -3, -2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -6*n + 15. Solve -5*y = -20, 5*y - 14 = n*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 4:04 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.9 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k. Let h(q) = -758*q. Calculate s(h(b)).\nAnswer: 758*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -7 + (-3 - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/27*-3 + (-28)\/6. Let a be (-6)\/15 - (-64)\/10. Let x(s) = 13*s**2 - 4*s - s - a*s**2. Let l(f) = 3*f**2 - 2*f. What is n*l(j) + 2*x(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -50, -1\/24, -0.04, 0.2?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 20*z - 18 = -2*n, 5*n + 5*z - 30 = 0. Solve 8*k - 3*k + 20 = -p, 0 = n*p + 3*k + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*v + 1265 - 8591. Let p = v - -12283. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = g - 1359, 0 = 4*g - 5*x + x - 5484. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4715838 is divided by 1302.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-4 + -1 + sqrt(500) + -2 + sqrt(500) + -1)*-6)**2.\nAnswer: -69120*sqrt(5) + 445824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i - 3*o = 24, 25 = 5*i - 2*o. Let r = i + 0. Calculate the least common multiple of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 8*w**2 + 4*w - 1. Give a(4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/9)\/((-1)\/(-3)). Let y(j) = -2*j + o + 0*j - 5 + 5*j. Let s(z) = 4*z - 1. What is 4*s(c) - 5*y(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/8, -0.03 in descending order.\nAnswer: 3\/8, -0.03, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514.3712*137.\nAnswer: -70468.8544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.97 * -1.2.\nAnswer: 10.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3500598913.\nAnswer: 7, 191, 2618249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*c - 12 = 0, 4*x - 8*c = 5*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + c + 3. Let o be q(0). Suppose -o*y + 88 = 31. List the prime factors of y*3\/(-3 - -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/3)\/((-2)\/(-12)). Suppose -d*g + 5*k = 3*g - 30, -3*k - 14 = -g. Suppose b = -g*b + 60. Solve -3*u + 5*x + b = 3, -3*u + 15 = -3*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28475934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpzmstl. Give prob of sequence pm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3236106*d**3 + 4900126*d?\nAnswer: 19416636*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/2 - 435*c**2 - 63075*c\/2.\nAnswer: -3*c*(c + 145)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 838477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 4*l - 12 - 13, 3*f + 29 = 5*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12578 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - -12. Suppose -3*i + l = 4*c, 4*c + 12 = 5*i + 3*c. Factor 5\/6*q**4 + 4\/3*q**i + 0 + 0*q - 2\/3*q**2.\nAnswer: q**2*(q + 2)*(5*q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 8*p**2 + p - 5. Let d be h(8). Suppose 4*f - 8*f - y = -9, -3*f - 4*y = d. Suppose f*a = -136 + 1159. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/108 and (-28)\/(-224)*(-2)\/8*2.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 - 2 + 10 + x - 7 to the form i + c*x**3 + h*x + l*x**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20433.000029252 + -20433. What is r rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1409254 is divided by 234873.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mnn when three letters picked without replacement from {n: 3, e: 4, m: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -251\/2 (b) -2 (c) 0.5 (d) 5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -2*j + x - 3197, 0 = 2*j + 3*x - 2122. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 4*b**2 - 13*b - 4. Determine x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688*n**2 - 387*n**2 - 292*n**2.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 366 - 365.7. Let s = -3 - 0. Let j = -5 + 0. What is the nearest to 0 in s, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.01 - -0.01. Let x = w + 10. Let j = 9 - x. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-4)*(-10)\/(-25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 3*o + 0*o + (-3 - 1 + 6)*(-o + 2*o + 0*o))*(-2*o - 3*o + 0*o).\nAnswer: -25*o**2 + 15*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5151 in 0.1, -3, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949817547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 16) to base 11\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43066 is divided by 590?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 229.1 + -228. Which is the fifth smallest value? (a) -10 (b) 4 (c) t (d) 5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 28646.\nAnswer: -1\/28646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/76275 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = 4*o. Suppose -o*s = 2*r - 58, -7*r + 2*s + 183 = -2*r. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3 - 1384*u**3 + u**5 - 21*u - 99*u + 402*u**2 + 1384*u**3 - 10*u wrt u?\nAnswer: 20*u**3 + 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**4 + l**2 - 1. Let k(t) = -186*t**5 - 5*t**4 + 5*t**2 - 73*t - 4. Let j(s) = -5*c(s) + k(s). Find the second derivative of j(a) wrt a.\nAnswer: -3720*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -75.24. Let f = -2781 - -2780.7506. Let w = f + x. Round w to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 6*u)*(0*u + 0*u - 2*u**2)*(5*u + 10 - 10).\nAnswer: -40*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 - 7787856*g - 7787860 = 0. What is g?\nAnswer: -1, 1946965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d**3 - 2*d**3 - 4*d**3 + 27*d**3 - 9*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 1. Let w be l(-1). Suppose -37*s + 489 - 193 = 0. Find m, given that -4*m**2 + 0*m**2 + s + w*m**2 - 3*m**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 - 1409*g**2 - 22635*g + 72131\/3.\nAnswer: (g - 4243)*(g - 1)*(g + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -6*q**3 + 133*q**2 - 586*q - 77. Determine a(16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 0.3, 394, 4\/9, -2, -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2 - 12192*n - 2438046 = 0. What is n?\nAnswer: -5889, -207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -313, -84, 411, 1172, 2199, 3492?\nAnswer: 5051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -68. Is d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -168 + 6101b1?\nAnswer: 610046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3273*t**3*z + 3145*z wrt t?\nAnswer: 9819*t**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 4*x = 31, 5 = -113*k + 108*k + 5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t - 3*t)*(2 - 2 + 1 + (0 + 3 - 1)*(6 - 3 - 1) - 1 - 3 + 3 + 6 - 2 - 3 + 11 + 21 + 0 + 1 - 4 + 0 + (1 + 0 + 0)*(5 - 2 - 5) + 6 - 3 - 4).\nAnswer: 62*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 0*d**2 - 2*d + 3*d**2 - 1 + 2*d**2. Let j be f(-1). Let g be (j\/(-4))\/((-6)\/12). Solve -5*w - 8 = m, -g*m - 6 = 4*w + 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18757739 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1172 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y + 135. Let g be x(-39). Solve 13*w + 5*w = -g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234272606 or -234272608?\nAnswer: -234272608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8725021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + 4)**2 + 2.\nAnswer: 8*sqrt(11) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 32 - 27. Suppose z - 5*m - 34 = -2*m, -34 = -z + h*m. Let d = z - 20. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7852527 divided by -2617509?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + 9\/((-54)\/12). Let l(h) = h - 2. Let s be l(5). Factor b*k**3 - 2*k**3 + 4 - s*k**3 - 4*k**2 + 4*k**3 - 4*k.\nAnswer: 4*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 + 46*w + 3. Calculate the remainder when 193 is divided by u(6).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -1, -2, 6589\/4, -0.5, 0.18?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4663*a - 9784 - 405715 = 60127 for a.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 11:39 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + n = -11, 8*u - 4*u - n = 9. Let h(f) = -f - 4*f**3 + 10*f**u - 11*f**2 + f**3 + 1. Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 776895 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 35\/14*1292\/(-85). Let l(f) = 4*f**2 + 2*f + 1. Let r be l(3). Let g = w + r. Solve 0 = -g*c + 3*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 60034.59 litres?\nAnswer: 60034590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 13*s - 218. What is the remainder when j(28) is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.519 - -713.519. Let l = 712.0331 - y. What is l rounded to 3 decimal places?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 2 = -2*m. Suppose -4*f - 3*r + 38 = m, -5 = 2*f - 3*r. Solve 0*j - f = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/36 and (-71)\/30 + (-40)\/140*7.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 563.4 and 1114 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008124 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 5*x + 3 - 48, -x - 4*h = -24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 52397*g - 20 + 41.\nAnswer: -52397*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/64 and 351\/6*(1 - 8\/10)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 17*w**3 - 305*w**2 + 11*w - 1. Let s(g) = -30*g**3 + 612*g**2 - 20*g + 2. Determine 7*n(c) + 4*s(c).\nAnswer: -c**3 + 313*c**2 - 3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h + 1429. Let d(k) = -3*k. Calculate y(d(n)).\nAnswer: -6*n + 1429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1253, 2513, 3773, 5033?\nAnswer: 6293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 234?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/5 + z**4\/3 + z**3\/6 - 41*z + 5. Let p(r) = -9*r**3 + 7*r**2 + 2*r. Calculate 7*i(s) - 3*p(s).\nAnswer: -s**3 + 7*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3289 and 2717.\nAnswer: 62491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -7*q + 5*q**2 + 23*q + 3 - 2*q + 4*q**3 + 18*q + 4*q**3. Let n be w(33). What is n rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*r + 3 - 3*r + 3*r to u*r + d and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 - 3*v**2)*(0 + v + 0)*(-4 + 1 + 4).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 4719?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 - 41 + 5149*n + 176*n.\nAnswer: 5325*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -9*m - 3*r, -r = -m. Suppose -2*k + 2*i + 122 = m, 5*i = 2*k - 0*k - 119. Do 61 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 3 = -3*a, 114*z - 11*a + 5*a + 2607 = -a for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 16 = 0, s - 2*x = 3*s + 2. Let g(y) = y + 7. Calculate g(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + 2 + (-7 - -4). What is the second derivative of -4*n + 6*n - 4*n - 2*n - 3*n**g wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(252) + 0)*4 - -4*(sqrt(252) + 1)) + -4 + -4 + sqrt(252) + (sqrt(252) + 1 - sqrt(252)))**2.\nAnswer: -324*sqrt(7) + 20421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36484702?\nAnswer: 2, 421, 43331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 - 36. Solve -3*h + k*h + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -664*b**2 + 316*b**2 + 208*b**2 + 142*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1301.9\nAnswer: 260.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -61*h**6\/30 - 23*h**2\/2 - 64*h + 77. Let q(w) be the first derivative of f(w). What is the first derivative of q(z) wrt z?\nAnswer: -244*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4\/7 + 6837*y**3\/7 + 3622869*y**2\/7 + 10807155*y\/7 = 0. Calculate y.\nAnswer: -1445, -831, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 23. Let z(k) = -4*k**2 + 487199*k. Calculate d(z(s)).\nAnswer: 8*s**2 - 974398*s - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 389 - 15?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-29 - -17) + 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 116*g - 355*g + 478. Let a(d) = d**2 + 4*d**3 + 4 - 5*d + 2*d**2 + 0*d**3. Is a(g) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 7*w + 3173580 + 5*w**2 - 1586779 - 1586801 - 5*w.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.3251988315 - -2.3252. What is a rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 2:37 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnnn. Give prob of sequence nn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 32534000 to the nearest 100000.\nAnswer: 32500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k - 13*k + 3*x - 38 = 17*k, 5*x + 40 = -2*k for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, t: 2, i: 3, c: 2}. What is prob of sequence ix?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 21046 + 1967. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 104787 = 686. What are the prime factors of x?\nAnswer: 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*17\/(51\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809*z = -804*z - 35. Calculate the remainder when 137 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*k**5 - k**4 - 8904*k**3 - 15001526*k**2 wrt k.\nAnswer: 300*k**2 - 24*k - 53424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 1102225 + 691460 = 772758. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 - -13003?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4821245?\nAnswer: 5, 11, 13, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - -2) + (-110)\/8. Let u = n + 12. Let r = 50\/3 - 353\/21. Which is the third biggest value? (a) u (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.162 + 0.12\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*f - 6*f + 9 = 0, -2*f + 18 = 4*g. Put 0, g, -4 in descending order.\nAnswer: g, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 8. Let z(v) = 4*v + 7. Calculate 3*f(m) - 4*z(m).\nAnswer: -m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 + -122 - (1 - 7).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881215*p - 140800*p + 159072*p.\nAnswer: 899487*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(22\/5)\/(b\/(b*b*b*b\/(b*(b**(3\/14)\/b*b)\/b)*b*b)))**(3\/10) assuming b is positive.\nAnswer: b**(1929\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.4596422cm?\nAnswer: 4596422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j - 28. Let c be v(-7). Is c + 189\/(-28) + (-891)\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 1664323272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 33.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.015757g to tonnes.\nAnswer: 0.000000015757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 293841443?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 467 divide 79392802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.1 + -1.7. Let q be (-2)\/(-3) + 2\/(-21). Which is the nearest to 0.3? (a) -5 (b) q (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*t + 24 = 68, t = 2*m - 14. Let i be -4 + 3\/m*0. Sort i, 6, 5 in decreasing order.\nAnswer: 6, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1131 - -0.008759213\nAnswer: 1131.008759213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/10 and 1\/(-8) + 418\/(-304)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n + 12*n = -150. Let v = n + -69. Determine x, given that v*x**4 - 25*x**2 - 876*x**3 + 816*x**3 + 60*x + 39*x**4 - 20 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**3 - 2*c**2 - 6*c - 24. Let b(x) = 20*x**3 + 7*x**2 + 11*x + 49. Let d(k) = -4*b(k) - 9*f(k). Give d(9).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 660*l**2 + 14*l - 1. Let v be y(-1). Let i = v - 640. Solve -4*u + k = 5*k + 24, i*u = 5*k for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*g + 227*g = 24*g + 11267 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23.7 + 0.7. Let u = 40 + k. Let g = 17.55 - u. What is g rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-15)\/18))\/((-2)\/1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 16*b - 45. Let m be z(15). What is the greatest common factor of 39 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22552000 rounded to the nearest one hundred thousand?\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 15) to base 3\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 908, 884, 826, 716, 536?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -41*o + 7. Calculate s(2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 11*h**3 + 13*h**2 - 15*h + 11. Let i(g) = -5*g**3 - 13 - 28*g**2 + 8 - g + 8*g + 22*g**2. Give 13*i(d) + 6*k(d).\nAnswer: d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-14) - (-704)\/28. Let c = 35 + -52. Let w = c + p. What is the greatest common divisor of w and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 907216 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218 - 214. Suppose -15 = -3*s - 2*w, 0 = -s - 3*w - 6 + a. Solve 6 = 5*b - s*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u + 3*u - 6*u)*((5*u - 4*u - 3*u)*(-1 + 6 - 3) - u + 4*u - u - u + 2*u - 8*u - 192 + 20*u + 192).\nAnswer: -99*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7010 and 6?\nAnswer: 21030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - -2)\/((-2)\/(-6)). Suppose -4*r = 2*j - 0 - 10, 0 = -j + 1. Suppose y*u - 40 = -r*u. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 24621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10930536 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 109 and 29184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 20. Let i be x(-4). What is the nearest to i in -0.3, 2, -1\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 1. Let q(g) = 7*g + 16. Let b(i) = -3*k(i) - q(i). Let n be b(-5). Calculate the greatest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -127988 <= -127988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*d + 16, d = f - 3*d - 4. Suppose -f*v - 2 + 0 = 2*u, -3*u = 3. Suppose v = 3*p - 17 + 5. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 - 8*b**2 - 9*b + 15. What is the remainder when 284 is divided by p(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -122, -86, -14, 106, 286?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fuqqqfuaqqqff. Give prob of sequence qfuq.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from orrrohrprarprpp. What is prob of sequence ho?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a - 41. Let g be (-44)\/(-6) - 16\/(-24). Let o be u(g). Let i be (-35)\/(-49)*((-26)\/10 + o). Which is greater: -2 or i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13143*p - 10447*p - 39878*p.\nAnswer: -37182*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2039, -4080, -6121, -8162, -10203, -12244?\n\"Answer: -2041*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*t - 294 + 184. What is the greatest common factor of 458 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 87 = 2*z - 3*d, -5*z + 4*d + 59 = 0. Let f(i) = i**3 - 3*i**2 + 5*i - 4. Let n be (-1)\/(-2)*(9 + -5). Let o be f(n). Solve q + o*q = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/9, -15.29, -0.2, 6 in decreasing order.\nAnswer: 6, -1\/9, -0.2, -0.4, -15.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7279.\nAnswer: 29, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1233 (base 6) to base 9\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2340061372 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 81667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y - 9*y + 7*y)*(8 + 13*y - 8) - 37*y**2 + 20*y**2 + 10*y - 11*y - 27*y**2 + 9*y to p + g*y**2 + s*y and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/1*(-10)\/(-25).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -156232 (base 7) to base 10.\nAnswer: -30991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1)*(-7)\/(-98)*-2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2)*((-142)\/781)\/((-8)\/44).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -y**2 - 13*y - 1. Let p = 866 - 874. Let j be b(p). Solve 2*x + 12 = j*z, x + 8 = z + z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -724066, -1448104, -2172134, -2896150, -3620146, -4344116, -5068054?\n\"Answer: v**3 - 2*v**2 - 724039*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yygg when four letters picked without replacement from tgydpddptpypgtpyttyf.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(3\/6)*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5046?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28, 77, 118, 145, 152, 133, 82?\n\"Answer: -i**3 + 2*i**2 + 50*i - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of k**4\/4 + 59*k**3\/3 - 421*k**2\/2 - 250. Find the second derivative of y(x) wrt x.\nAnswer: 6*x + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545, -2165, -4865, -8645?\nAnswer: -13505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40937986 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let x = 1 + -2. Let f be 1*-4*x\/2. Let s(j) = 5*j**f + 2*j**2 - 6*j**2. What is h(s(t))?\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a hour in seconds?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -516212 - 2513788. Round z to the nearest one hundred thousand.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*r = 249, 0 = -2*n - 5*r + 125 + 358. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62*1 + -13 + 10?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/3))**(-9))**(6\/11))**(-1\/22) assuming w is positive.\nAnswer: w**(-18\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 5\/314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10227, 10289, 10399, 10581, 10859, 11257, 11799?\nAnswer: 12509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0.2, 6 in descending order.\nAnswer: 6, 4\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -195 + 194.9. Put d, -1, 15 in descending order.\nAnswer: 15, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 12\/(-3)) + (194 - 1). Suppose 190*d = p*d - 30. Solve -3*b + 6*b = d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**3 - k**2 + 2*k. Let c(n) = -n - n**2 - 7*n**3 - 8*n + 6*n**2. Let s(g) = -2*c(g) - 9*u(g). What is the third derivative of s(q) wrt q?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 226865 and -347?\nAnswer: -78722155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 44*t**2 + 24*t + 57. What is the tens digit of m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 8) to base 6\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x + 6. Let g be i(-7). Let w(k) = 89*k**2 + k + 2. Let m be w(2). Does 8 divide 4\/g - m\/(-44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 1. Let s(w) = 0 + w + 2 + 2. Let q = 17 + -14. Suppose -q*n = n + 16. What is n*p(u) + s(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2079\/594*(-6 - (-50)\/7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 1:54 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.74725 rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.4 (b) 0.041 (c) 0.3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-161*s**2 - 217*s**2 - 34*s**2)*(2*s**2 - 4*s**2 + 0*s**2 + (3*s + 3*s - 7*s)*(-2*s + s - s) + 4*s**2 - s**2 + 0*s**2).\nAnswer: -1236*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32a (base 14) to base 12.\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 + 52*c**3 + 244*c**2 + 492*c + 360.\nAnswer: 4*(c + 2)*(c + 3)**2*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*g - 348*g - 4*z = -39, -3*z + 6 = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 2960000. Suppose 0 = 9*r - 3*r + 18. Let g(o) = o - 5920000. Let j(l) = r*g(l) + 5*k(l). Let b be j(0). Round b to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 4*o + 366. Let j = o - -32. Suppose 5*x + j = l, -5*l - 3*x + 483 + 203 = 0. List the prime factors of l.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-11) + (-50)\/(-15)*36\/220.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + (21 - (15 - (-5 - 24))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8237469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27151.\nAnswer: 19, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4 = 10. Suppose 4*g - 2 + 3 = -o, -2*o - l = -2*g. Suppose -z - 2*z + 21 = g. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + sqrt(1700) + sqrt(1700)*-3 + -3 + (-1*(2 + sqrt(1700)) - sqrt(1700) - (sqrt(1700)*-1 + -4)))**2.\nAnswer: -360*sqrt(17) + 15336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -1\/30*o**5 + 0*o**3 + 0*o + 0 + 1\/24*o**6 + 0*o**4 - 4*o**2. Factor n(s).\nAnswer: s**2*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, f: 3, o: 5}. What is prob of picking 2 f and 1 z?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3483186455.2 + -0.07.\nAnswer: -3483186455.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30657206*d**5*i + 16*d**3*i - 3*d*i + 27*d - 10374*i + 3 wrt d?\nAnswer: 613144120*d**3*i + 96*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -20. Let n = 5 - j. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + sqrt(2448) + 2*(sqrt(2448) + -3 - sqrt(2448)) - sqrt(2448))*-3*-4)**2.\nAnswer: -20736*sqrt(17) + 357696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.21 + -0.16. Which is the nearest to 0.1? (a) 2\/5 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165367*s**3 + 153272*s**3 + 19*s - 19*s.\nAnswer: -12095*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-102)\/12 - -10)*(4 - 0). Let l be 10\/(-8) - (-8 + m). Factor 0 + 1\/4*o**4 + 0*o**3 - l*o**2 + 1\/2*o.\nAnswer: o*(o - 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*2052508.\nAnswer: 4105016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -5, -81 in increasing order.\nAnswer: -81, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 68124 - 4?\nAnswer: 68120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9b94 (base 12) to base 7\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 times -272096\nAnswer: 2720960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**3*p - 4*h**3 - 22*h**2 - 9*h*p + p + 9 wrt h?\nAnswer: 18*h*p - 24*h - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -271*z**6\/120 + z**5\/30 + 11*z**4\/6 - 209*z**2. Find the third derivative of i(f) wrt f.\nAnswer: -1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 + 2880*a**4 + 5769*a**3 + 2886*a**2.\nAnswer: -3*a**2*(a - 962)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62 + -64. What is the third smallest value in b, 1, -5, 1.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -6*i**2 - 7. Let q(h) = 12*h**2 + 14. Let u(n) = 3*q(n) + 5*y(n). What is the first derivative of u(b) wrt b?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0 + 0 - 3*g. What is q(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 346 + -2077\/6. Which is the closest to 2\/7? (a) -9 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*k**2\/4 - 83511*k\/4 + 11931\/2.\nAnswer: -3*(k + 3977)*(7*k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -43918279 at most as big as -43918278?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -15. Let z(v) = 5*v + 3. Let l be z(g). Suppose 2*m - l*h = 3796, 6692 = 3*m - 5*h + 999. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14102 + -2512?\nAnswer: 11150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17496.9099 rounded to the nearest integer?\nAnswer: 17497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l**3 - 5*l**2 + 4*l. Let u(a) = -a**3 + 3*a. Let x(c) = -c**3 + 4*c. Let r(n) = -3*u(n) + 2*x(n). Determine h(k) + 4*r(k).\nAnswer: -k**3 - 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 8 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -14*m**5\/5 - 74*m**4\/5 + 358*m**3\/5 + 1522*m**2\/5 + 1384*m\/5 + 56 = 0.\nAnswer: -7, -2, -1, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.3 - 21518445486\nAnswer: -21518445478.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1\/7 (c) -20 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/13264 and -79\/64.\nAnswer: 53056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -35. Let x(c) = c + 1. Give 3*n(h) + 3*x(h).\nAnswer: 3*h - 102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 34. Let y(t) be the first derivative of 3*t**3 + t**2\/2 + 2*t + 27. What is the units digit of y(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.036 and -81347?\nAnswer: -2928.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -13087, -26049, -39011, -51973, -64935?\n\"Answer: -12962*s - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/11*v**2 - 13\/11*v.\nAnswer: v*(v - 13)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7419 is divided by 64.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 3*s**2 - 24*s - 8. Let i be k(4). Suppose -888 = -4*h - i*h. List the prime factors of h.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*a = -2*p - 69*a - 8, 0 = -6*p - 6*a + 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79112 and 26270904.\nAnswer: 26350016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 3*c + 5. Let g be m(-2). Let q = 126 + g. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 3. Sort q, 2\/13, 1\/2 in descending order.\nAnswer: 1\/2, 2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*p. Suppose -5*m + 3*w = -19, 2*w = 5*m - p*w - 22. Suppose 0 = -m*c + a + 2*a + 86, c - 5*a = 57. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 3*q - 6 = -n, 4 = -4*q for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18476 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.07 + 0.07. Let k = -10.8 - h. Let p = 0 + -1. Which is smaller: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625450\/(-141750) - 342\/(-133) - -23*1?\nAnswer: -2\/405","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of o**3\/3 - 9*o**2 - 8*o + 11. Let d(x) be the first derivative of b(x). Let n be d(9). Sort n, -3, 4 in ascending order.\nAnswer: -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-14))\/(4\/28). Let s be 14\/3 + (-2)\/3. Which is the third smallest value? (a) s (b) -0.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/((q\/(q\/(q**(3\/7)*q)))\/q))\/(q**(-1\/3)*q*q*q*q**(-7)) assuming q is positive.\nAnswer: q**(166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16590 - -1dac?\nAnswer: 1844c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -5 (c) 2 (d) -0.2276 (e) -14 (f) -86 (g) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 52. Let n = 12 + a. What is the second smallest value in -35, n, -5\/4, -1\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1201, -2353, -3505, -4657?\nAnswer: -5809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - -1 - 1*-1. Let u(y) = -109*y + 1906. Let d(j) = 31*j - 556. Let n(k) = 24*d(k) + 7*u(k). Determine n(o).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a + 1. Let r(c) = 3*c. Determine -2*o(x) - 5*r(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 284 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 2*c**2 - 27*c + 2*c**2 + 13 + c**2. Let a be g(-19). Suppose 5*m - 417 = -y, -2*m + y - a = -4*m. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g. Suppose 4*s + 4*q = s - 14, -5*s - q - 46 = 0. What is the remainder when (-318)\/(-27) - s\/45 is divided by w(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*i - 5*i. Let t = -1 + 8. Suppose 3*c + 3*p - 6 = 0, 5*c = -6*p + 4*p + t. Put i, -4, c in ascending order.\nAnswer: -4, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-5))\/((-1146)\/3820)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + g - 1. Let i be f(1). Let z(j) = -5*j - 3. Let x(k) = -16*k - 10. Suppose 41*o - 69 + 12 = 230. Calculate i*x(b) + o*z(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 936*k**3*t**2*v**2 + 83*k**2*t*v + 3*k**2*v**2 + 2*t**2*v wrt k.\nAnswer: 5616*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234050 is divided by 364?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**5\/10 + 221*b**4\/5 + 7524*b**3\/5 - 7556813*b**2\/5 - 337785173*b\/2 = 0.\nAnswer: -209, 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.0426, 2 in increasing order.\nAnswer: -5, 0.0426, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2 - -7) - (-7 - (7 + 8 + -5)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 12*q = 5*w - 242, -16*w - 2*q + 5 = 47 + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -704*s + 704*s - 919983*s**3.\nAnswer: -919983*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/12 + 2\/3. Let i(r) = 22*r - 3. Let g be i(2). Let b = g - f. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10068672*t**2 - 10992*t - 3.\nAnswer: -3*(1832*t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 1 + 1*3. Let u = -838 + 842. Solve -u*d = -3*o + 24, o - h*d + 4 = 14 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3, -1348, -6, 24, 2 in descending order.\nAnswer: 24, 3, 2, -5, -6, -1348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o + 49. Let b be k(9). Let i(a) = -a**3 + 14*a**2 - 12*a + 14. Let c = -17 - -31. What is the remainder when i(b) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 285072619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.17675l in millilitres?\nAnswer: 79176.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 9, c: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 37. Let u = s - 16. Suppose u*f - 9 = 0, -225 = 4*q - 7*q - 3*f. What is the remainder when q is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-77)\/22*72\/(-14). Calculate the highest common divisor of d and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1526, 2481, 3430, 4373, 5310, 6241, 7166?\n\"Answer: -3*o**2 + 964*o + 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1657, -1167, -4001, -6851, -9723?\n\"Answer: -g**3 + g**2 - 2820*g + 4477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(165))\/sqrt(11))\/(sqrt(180)*-2) + (sqrt(240)\/sqrt(10))\/(sqrt(224)\/sqrt(7) - sqrt(2)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 15. Let q be (-1)\/(-3) - 488\/(-12). Let w = j + q. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -462 by 2.\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1544614515 + 25?\nAnswer: 1544614543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 15872\/(-1200) - ((-168)\/(-588))\/(5\/(-14))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 45+0.2\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9267\/134 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*i - 41. Suppose 3*l + 6 = r, -5*r - i = -10*r - l. What is the tens digit of 4\/(-3)*(0 + r)*-10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2608 + 3159. What is the highest common divisor of y and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1542, 6199, 13984, 24897, 38938, 56107, 76404?\nAnswer: 99829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - r + 225. Let h(k) = -k**2 - k + 180. Let w(i) = -4*a(i) + 5*h(i). Let m(q) = -3*q**2 - 3*q. Determine 2*m(d) - 7*w(d).\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 22*g**2 + 41*g + 22. Calculate x(-20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 568015, 567989, 567963, 567937, 567911, 567885?\nAnswer: 567859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1208 and 157072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of 0*g**7 + 0 + 0*g**5 + 71\/24*g**4 + 0*g**6 - 1\/7*g**8 + 0*g + 0*g**3 - 13*g**2. What is the second derivative of f(j) wrt j?\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and -567.402?\nAnswer: 561.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/3 (b) 2\/29 (c) 1479 (d) 0.063\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-88)\/(-3)*(12 + -9). Calculate the highest common factor of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141*d**3 + 3 + 132*d**3 - 130*d**3 to the form a*d + j*d**2 + m*d**3 + t and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 2*n - 7. Let i(a) = -16*a**2 + 16*a + 26. Let x(h) = -3*h**2 + 3*h + 5. Let q(s) = -2*i(s) + 11*x(s). Determine 6*o(k) + 14*q(k).\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24837 - 24834. Let v(k) be the third derivative of 0 + 0*k**c + 0*k + 1\/6*k**4 + 41\/60*k**5 + 40*k**2. Find the second derivative of v(r) wrt r.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 10 = -4*z. What is the third derivative of -6 + 4 + z + 5*x**3 - 2*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*a = -51*a + 29*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/1400 and 33\/40?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37 + -11. Let l = t + 293\/6. Let s be 26\/(-12) - -2*1. Put s, l, -5\/3 in descending order.\nAnswer: l, s, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/126 and 16\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -166 - -232. List the prime factors of h.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/19? (a) -0.2 (b) 1 (c) -68 (d) 5 (e) -91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 673523440 and 8311?\nAnswer: 8311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 9*o + 67. Give d(-13).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8640 and 58560?\nAnswer: 527040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 + r. Let m(d) = 3*d**2 - d + 1. Give -m(b) - 4*u(b).\nAnswer: b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g*g**(1\/4)*g)**(-3\/7)\/(g**(-4\/3)\/((g*g\/g**(2\/5))\/g)) assuming g is positive.\nAnswer: g**(-19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, k: 8, b: 1, t: 7, r: 2, w: 1}. Give prob of picking 1 b, 1 l, and 1 k.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 0)\/(-2) + 6. Suppose -2*m = n*m - 135. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 248*q**4 - 1276 + 2*q + 3776 - 1704 wrt q?\nAnswer: 2976*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-549)\/38064 - 1\/(-13).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*w - 6. Let f be w\/6 + (-10)\/(-6). Let d = -2.2 - -7.2. What is the nearest to 1 in 0, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 != -1.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -13836, 1 in increasing order.\nAnswer: -13836, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29400*m**2 - 14560*m**2 - 14095*m**2.\nAnswer: 745*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 142231741?\nAnswer: -142231743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(7\/(-64)) - 2\/2. Let b(v) = 6*v**2 + 5*v - 3. Let t be b(4). Suppose 3*z + t = n + 8*z, -n = -5*z - d. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*z + 5400 = -0*z, -12 = 3*z. Calculate the highest common divisor of d and 246.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*o**5 + 215*o**2 + 19765*o?\nAnswer: 660*o**3 + 430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 11 = -56. Let w be ((-14)\/(-35) - 0)\/((-1)\/(-10)). Suppose -d + w*d = q. Solve 5*y - 4 + 22 = o, -30 = 5*y + d*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9*l + 15 = -5*m, 6 = -2*l. Let f(k) = k**2 + k. Let o(c) = -5*c**2 - 6*c. Let b(n) = m*f(n) - o(n). Let q(u) = -3*u**2. Calculate b(q(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5 = -r. Let s = 2 - -9. Calculate the smallest common multiple of (-1)\/(-1)*(r + 8) and s.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -546633 at most -546633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594832 is divided by 132902.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -11*y**7\/21 + 5*y**3\/2 - 20*y. Find the second derivative of k(j) wrt j.\nAnswer: -440*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -13*y + 512. Let k be h(39). Let s(u) = -u - 1. Let d be s(-5). Solve d*l + 8 + 4 = -p, l + 3 = -k*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181.9 - 185. What is x rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -962 divided by 17430\nAnswer: -481\/8715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.1 (c) 27 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p = 20*p - 56. What is the remainder when 82 is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 + 3*r + 1. Let b(y) = -y**2 - y. Calculate 3*b(n) + q(n).\nAnswer: n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -31?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 4 = 7*n. Solve 9*y = n*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rlyyuyllhr. Give prob of picking 1 h, 1 y, and 1 l.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-180)\/40*(-80)\/(-12). Is (871 + -4)*(-20)\/i a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*m + m - 2*m)*(0 + 2 - 4) + 1 - 1 + m + 2*m - 2*m - 2*m + 2*m + 4*m - 4*m - m + 2 - 2)*(0 - 1 + 3)*(31 + 19 - 18) to the form y*m + w and give y.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2\/79, -2\/11, -0.3, -4\/7?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 33*l + 30*l - 112*l. Let u(g) = g. Give -2*n(a) - 70*u(a).\nAnswer: 28*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**4 + 8*y**3 - 8*y**2 + 7*y. Let i(z) = -3*z**4 + 23*z**3 - 24*z**2 + 20*z. Let r(m) = -8*a(m) + 3*i(m). Find b such that r(b) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 + 50123*s**2\/3 - 751784743*s\/3 + 975896928207.\nAnswer: -(s - 22051)**2*(s - 6021)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 12*p + 60. Let h be y(-7). Suppose -h - 10*q**2 + 4*q**5 - 36 + 61 - 14*q**4 - 28*q**3 = 0. Calculate q.\nAnswer: -1, -1\/2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**3)\/q**5)\/(q\/((q*(q**2\/q)\/q)\/q))**(-18\/11) assuming q is positive.\nAnswer: q**(-59\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 188.60294?\nAnswer: -56.580882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.244 + -0.026. Let m = -8.93 + z. Let v = m + 1.6. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(891)*1*6*1 + -3*((sqrt(99) - (-1 + sqrt(99))) + -1 - (1 + sqrt(99))*4))**2.\nAnswer: -1728*sqrt(11) + 57168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 87 = 4*x - 109, 24 = 3*x + 3*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a week?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/55 - (-172)\/22. Let j be (a - 1)*(2 + 1). Suppose 0 = -3*p + 12 + j. What is the remainder when 42 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (0 - 0)) + 1. Suppose -3*q - 2*y = -116, -r*y - 111 = -3*q - 6*y. Let v be (-46)\/(-14) - 12\/q. Solve -3*h = -2*h + v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121684, -121679, -121676, -121675, -121676?\nAnswer: -121679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.37. Let n = v - -0.03. What is the closest to n in -5, 4\/3, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985313.3 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a week in seconds?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2540464 to the nearest integer?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 4376.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171930*z**6 - 2*z**2 + 53*z - 361?\nAnswer: -20631600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21503748449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 380 + -383. Let s be -3*2*u*87\/18. Is s greater than or equal to 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 4*c = -4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -1\/15*h**6 + 0*h**3 - 9\/5*h**4 + 38\/25*h**5 + 0*h**2 + 0*h - 107. Factor y(n).\nAnswer: -2*n**3*(n - 18)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k + 5*k - k + 8*k**2. Let a(g) = 2*g**2 + 4*g - 4*g. Give s(a(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -15*x**2 - 1747*x - 921. Calculate m(-116).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -12614?\nAnswer: -12606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000082735524 rounded to seven decimal places?\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 26389*b**2 + 211105*b - 51. Calculate t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 - -22 - 6\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + 27. Let d = f + -81. What is the second smallest value in -2\/25, d, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23199\/285 - 70)*(8\/(-2) + -1)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39\/2, 917, 11, 4, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21.57 - -1.63. Let y = v + -18. What is y rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 1, -12 in descending order.\nAnswer: 3, 2, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**3 + 194540*y**2 + 2919225*y = 0 for y.\nAnswer: -15, 0, 38923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -0.06.\nAnswer: 1.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -702\/11, -3, -2\/5 in descending order.\nAnswer: -2\/5, -3, -702\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.85 - -0.05. Let o = 4.2 - a. Let i = 0.46 - -0.04. What is the closest to -1 in o, i, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 k, and 1 x when four letters picked without replacement from kkxnkkknnxkkx?\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/6 + (-10)\/60)*35. Is (-4333)\/m - (4\/10)\/(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-54)\/(-32)) - 8\/36. Let g(a) = a**2 - a - 4. Let u be g(d). Let s be 0 + (-3 + 4 - -2). Solve -u*y = s*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-15) - (-120)\/75 - -2. Suppose -5*n - 31 = -2*l + l, -n + 103 = m*l. Solve -3*p = -5*j - l, 0 = -j + p + 3 - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**3\/6 + 3*v**2 + 3*v. Let k(w) be the second derivative of -w**2\/2 - 3*w. Suppose 8*z = 4*z - 24. What is z*k(s) - t(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35035 and 71357.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c - 1201 = 886 - 647 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 32887060*g**2 - g*t + 32172818*t + 2 wrt g.\nAnswer: 65774120*g - t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1767)\/532*(-126)\/(-36). Let p = 14 - 26. Is p less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 76650 - 10194237\/133. Let b = u - 25\/19. What is f in -2\/7*f**5 + 0 - b*f**3 + 6\/7*f**4 + 4\/7*f - 6\/7*f**2 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**3)**(26\/7)*u*u**(-19)*u**15 assuming u is positive.\nAnswer: u**(57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 637709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 11*p + 428. Calculate the remainder when k(16) is divided by 87.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 3, n: 5}. Give prob of sequence mm.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 11 = -5*j - 1, 0 = -b - 4*j - 9. Let n(q) = q**3 + q**2 - 2*q + 3. Let s be n(0). What is the closest to b in 1\/4, -0.05, s, 2\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/4*6336\/209880?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-693)*2\/(12\/(-7)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 1785211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 62165695 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2150468, 4300926, 6451384, 8601842, 10752300?\n\"Answer: 2150458*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 37 = -89 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11845 greater than or equal to -11843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -22, -11, -1\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-6)\/(-10)) - 3. Let b = t - -13. Find the second derivative of 6*o**4 - o**4 - b*o**3 + 5*o**3 + 3*o wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28165249\/9141 + -1\/45705. Let r = -3069 - n. Put -1, 5, 4, r in decreasing order.\nAnswer: r, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 1\/6 (c) -1 (d) 2\/31 (e) -12 (f) -35.6 (g) -0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k = 4*k - 2213 + 1701. Calculate the remainder when 3803 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 11 + 205568*x**2 + 133230*x**2.\nAnswer: 338798*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 y when two letters picked without replacement from {y: 1, o: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j + 9*j - 2567. Suppose j*y + 23992 = 159*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 1, d: 2, s: 1}. What is prob of picking 1 h and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -4*sqrt(11) + 4 - 4*sqrt(11)*4)**2 + -3.\nAnswer: -152*sqrt(11) + 3984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) + 1)**2*6.\nAnswer: 48*sqrt(5) + 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523000 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 781.\nAnswer: 7810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/3))**(-3)*(v\/((v\/((v*v**(-6\/5))\/v))\/v*v))\/v**(-3\/8) assuming v is positive.\nAnswer: v**(7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20376833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -1. Suppose -f = -i - i. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (390\/(-105))\/13*(352\/198)\/(4\/18)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**3 + 5*g**2 - 12. Calculate c(4).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1)*t)**47\/(t**2)**(13\/3) assuming t is positive.\nAnswer: t**(397\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259*o + 8473134 = -3422218. What is o rounded to the nearest one hundred?\nAnswer: 45900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 33*j**6 + 4*j**3 - 33*j**2 + 4*j. Let p(c) = 33*c**6 + 5*c**3 - 32*c**2 + 5*c. Let g(o) = 4*p(o) - 5*x(o). Find the third derivative of g(a) wrt a.\nAnswer: -3960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*b + 44. Suppose 0 = p + k - 140692 - 59308, 4*k = -3*p + 600000. Suppose b*c = -0*c - p. What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c**3 + 2*c**2 + 16*c - 10. Let d(y) = -y**3 + y**2 - y + 2. Let g(o) = 5*d(o) + t(o). Determine g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1908915?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*z = -12, -2901*h = -2892*h - 5*z + 148 for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6195108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2539146 to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**(-4\/29)*(h*h*h\/(h\/(h**(-2\/9)*h))*h)\/((h\/(h\/(h*h*h\/h**(-1))))\/h) assuming h is positive.\nAnswer: h**(1349\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 53 = 3*w, 0 = w + 3*w + 3*c - 64. Suppose w = 10*q - 41. Solve -4*x - 10 = -j, -q*j = -3*j + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**2 + 2*u**2 - 3*u**2 + 2*u**2. Let d(r) = 2*r + 0*r - r. Determine d(j(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**6 - 33182*h**4 - 13*h**2 + 2760*h wrt h.\nAnswer: -600*h**3 - 796368*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 361 - 350. Let q be (-62)\/(-8) - (-1)\/4. Suppose c*y - q*y - 39 = 0. Solve 4 = 3*t + h + y, -10 = 4*t + 2*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-300 - -261)\/((-31)\/(-2) - 2).\nAnswer: -26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200) + -1 + -5)**2 - sqrt(200)) + 3 + sqrt(200)*2 + 3)*-2 + 3.\nAnswer: -481 + 220*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-18 - ((-7 + -4 - -5) + 0))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {h: 2, t: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*a - 1\/2*a**3 - 5\/2*a**2 + 5\/2 = 0. Calculate a.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/282700840 and -121\/6.\nAnswer: 848102520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 1:12 PM?\nAnswer: 548","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 163, 403, 751, 1207, 1771?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70116, 70105, 70084, 70047, 69988, 69901?\nAnswer: 69780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1517276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 739*v + 10. Let k(f) = -467*f - 2. Calculate r(k(w)).\nAnswer: -345113*w - 1468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 131*d + 2129. List the prime factors of b(155).\nAnswer: 2, 3, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 821413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -0.4, -2, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -179*w**6\/15 + w**5\/10 + 167*w**3\/2 + w**2\/2 + 1054*w. What is the second derivative of j(b) wrt b?\nAnswer: -4296*b**2 + 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(-39*c**2 - 103*c**2 - 59*c**2) - 3*c**2 - c**2 - 4*c + 6*c to g*c + p + a*c**2 and give a.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 13\/5 of a microsecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*c - 380400 = -382830 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*((-828)\/(-27) + 4\/(-6)). List the prime factors of (-30)\/w + -1 + 14.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -354*r**2 - 2*r + 2. Let h(w) = 2*w**2. Calculate q(h(g)).\nAnswer: -1416*g**4 - 4*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r**3 - 17*r**2 - 17*r - 17. Let m(h) = -5*h**3 - 6*h**2 - 6*h - 6. Let y(l) = 6*d(l) - 17*m(l). Solve y(f) = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1325553, -1325298, -1324873, -1324278, -1323513, -1322578?\n\"Answer: 85*p**2 - 1325638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151 or -1372\/9?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30344052 and 865184?\nAnswer: 4612295904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*x - 107*x - 333*x + 39786 = 0 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**4 - a**3. Let s(d) = -16*d**4 + 14*d**3 + 4*d**2. Let l(x) = 84*r(x) + 6*s(x). What is the third derivative of l(v) wrt v?\nAnswer: -288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2909 - -8726\/3. Let w be 18\/28*22\/(-33). Put -2, 0.2, w, m in increasing order.\nAnswer: -2, w, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -5 (c) 3 (d) 2182 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**4 - 2*y - y - 3*y**3 + 5*y to the form c*y**3 + z*y**2 + m*y**4 + d + q*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1291, 1307, 1323, 1339, 1355?\n\"Answer: 16*p + 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 17. Suppose a - 6 = -2*a. Suppose 11 = a*u + 5*t + 2, 3*u + 5*t - 26 = 0. Let w be i(u). Solve -2*h - 2*h - 4 = w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/4 - (-3)\/12. Let h be -1*(2 + -7 - m). Solve -5*i + h = -8, 2*d + 7 = 5*i for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70284373 is divided by 4034.\nAnswer: 4025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100011001001110100111 (base 2) in base 9?\nAnswer: -2145111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 4*g - 5*q + 15, 2*g - 2*q = 10. Suppose -4*c - 160 = 2*h, 0 = c - 0*c + g*h + 58. List the prime factors of c\/(-6) - 2\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of -a**5\/30 + 5*a**4\/8 - 2*a**3\/3 + 6*a**2. Let b(z) = z**2 - 8*z + 2. Determine 11*b(y) + 6*j(y).\nAnswer: -y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 16*x - 20. Suppose 0 = -5*i - 20 + 60. Is r(i) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/17240 and -4\/35.\nAnswer: 120680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 10812 + 4443. Let k = r + 1189. Is (1*3)\/((-57)\/k) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -44895382 and -44895381 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of 2\/3*l**3 + 94 + 0*l**2 - 32*l. Factor v(h).\nAnswer: 2*(h - 4)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.9. Let q = 1 - t. Let x = -527\/7 + 75. Which is the closest to -1\/4? (a) q (b) x (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 380 and 836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -1, 3, 4, 14, 5 in increasing order.\nAnswer: -31, -1, 3, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -5.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11612*n - 11647*n = -242830. Calculate the remainder when n is divided by 126.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 142 + -137 - ((-520)\/(-6) - 4\/6). What is the closest to 1 in u, 1, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 6543a02?\nAnswer: 65439a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 66 = -7*q. Is 21 a factor of q*(-21)\/(1\/((-3)\/(-6)))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 29\/9 - (-2)\/(-9). Suppose 5*r = -3*i + 134, -73 = -3*r + p*i - 7. Let h = 9 + r. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8) - ((-1309935)\/60)\/11. Let y = 194 + m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 183858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 539380 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Suppose -g = -4*r + 4. Let h(o) = o**3 + 5*o**2 + 4*o + 1. Let p be h(-4). Is r at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 - 3)*(1 + 1 - 4) + 3 + 4 + 9)*(0*o + 0*o + o) + (-3*o + 0*o + o)*(-2 - 1 + 1) - o + o + o as v*o + n and give v.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 18*w = -110. Suppose 4*v - 14*y + w*y = 2894, -y = 4*v - 2886. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7\/13, 1, -2.4, 4, 1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3156105 to four dps.\nAnswer: 0.3156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(7095\/4343) + 25\/15?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41043)\/(-4)*(-4 - 430\/(-105)). Let g = z - 976. Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -38*x**2 - 2. Let r(y) = 153*y**2 - y + 9. Give 18*g(c) + 4*r(c).\nAnswer: -72*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 117*n**2 - 346*n - 120.\nAnswer: -(n + 3)*(n + 20)*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36347531?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 3*b**2 - 2*b - 3. Determine j(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/125 and 79\/14557875?\nAnswer: 14557875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11, 16, 19, 20?\n\"Answer: -o**2 + 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.295034 to 1 decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13797533.\nAnswer: 29, 475777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90258176?\nAnswer: 2, 271, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000358452 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 c when three letters picked without replacement from {q: 2, y: 1, c: 2, f: 1, v: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 12)*(3*o + 0*o - 4*o)*(3 + 0 + 1)*(-o + o + o) as l*o + h + z*o**2 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21410 (base 5) in base 10?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 22*j - 2. Let d(m) = 11*m - 1. Give 5*d(g) - 2*w(g).\nAnswer: 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1014 or -1011?\nAnswer: -1014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.039020107 to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 + 29 + 26 - (72 + -3)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z*z**(-2\/29))\/z)*z*z*z*z**13*z*z*(((z\/(z**(2\/81)*z*z))\/z*z)\/z)\/z*z*z**(-6))**(1\/27) assuming z is positive.\nAnswer: z**(23594\/63423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 > 77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 71 + 144 + -240 + (0 + 2 - -39)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 2*o. Suppose -108 = 2*y + 4. Let v = 55 + y. Give t(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -163*l**4*r + 24*l**4 - 292*l**3 + l**2 + 120975293*l*r wrt l.\nAnswer: -3912*l*r + 576*l - 1752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164200548 a multiple of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89 - 87. Solve -2*v - 2*v = -4*i + 12, 0 = -r*i - 5*v - 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*b - 52 = 16, -106 = 3*j + 2*b. Let w be (-10)\/36 + (-6)\/j. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32782068 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaaaaaa. What is prob of sequence aaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40193 - -23301. Let j = r - -354656\/21. Find the common denominator of j and 88\/63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555 + 5955 = -930*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + m + m + 16 = 0, -4*k + 3*m = -7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/10 (b) 0.1 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7947 is divided by 295?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**3 + p**2 - 2*p + 1. Let r = -40 + 41. Let k(u) = 2*u**3 - 2*u**2 + 1. Let x be k(r). Calculate z(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12957 is divided by 6453?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -j**5\/25 + 11*j**4\/5 - 192*j**3\/5 + 512*j**2\/5 + 64*j. Suppose l(d) = 0. Calculate d.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -34d?\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (442\/39)\/((-35)\/(-105)*(-1)\/(-2))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4.8 (b) -45 (c) -423\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 53 = -10*n - 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 3, -1\/5, 0.1, -1, 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -47\/6. Let o = -0.9 - -1. Which is the nearest to 1\/4? (a) -1 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 16*w**2 - 22*w - 80. Let q be r(-17). Put -3, 1, q, -5 in descending order.\nAnswer: q, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.544 + -0.056. Let d be (-12 - 424\/(-56)) + 3\/7. Which is the closest to -0.1? (a) 1\/2 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2216796 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3333064ng to kilograms.\nAnswer: 0.0000000000003333064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/(-2))\/((-2)\/8). Let a(q) = -5*q**3 + 11*q**2 + 11*q + 11. Let c(p) = -p**3 + 2*p**2 + 2*p + 2. What is y*a(o) + 11*c(o)?\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9787.\nAnswer: 9787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49811 = -2*g + 100183. Suppose 2*m - 4*r = 30012, 0 = 4*m - 9*m - r + g. Round m to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305410 (base 6) to base 13.\nAnswer: b241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22201411 and 0.14?\nAnswer: 3108197.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*j = -104*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 14704764?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(77) + sqrt(77)*1)*3 + sqrt(77))\/(sqrt(175)*2)*5.\nAnswer: 2 + 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2006 = -p - 3*p, 5*p = -2*b + 2510. Let h = -269 + p. Suppose 5*y - h - 55 = 0. Does 10 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-105)*-3)\/((-117)\/1170)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9398 and 7413764.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2623 - -1824. Suppose 10*t + 217 - h = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -2)\/((-6)\/(-54)). Suppose 3*g - 2*g = 0, 15 = 5*y - 2*g. Calculate the highest common divisor of m and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40.61 + -38.2. Let o = -66.81 + d. Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -5\/9*z**2 - 2\/27*z**3 + 4\/3*z - 29. Factor k(q).\nAnswer: -2*(q - 1)*(q + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5\/4 + 1129*l**4\/4 + 373*l**3\/4 - 1129*l**2\/4 - 94*l = 0. What is l?\nAnswer: -376, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1186.9 * 4.\nAnswer: 4747.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25386234\/133 or -190874?\nAnswer: -190874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2960 = 34*z. Solve z*o = 63*o - 55 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/300 and 15\/14.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 - 79*b + 1007. What is the units digit of a(107)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 - 9*i**3\/2 - 4*i**2. Let b be f(0). Let m = b - -47. Solve m = -5*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13203, 26379, 39539, 52683, 65811?\nAnswer: 78923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 24*c**2.\nAnswer: -c**2*(c - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4115655 (base 7) in base 4?\nAnswer: 1320011031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9162 - 0.79735. Let p = -1.12 + d. What is p rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11 + a46?\nAnswer: a35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 65 - 63 - 68*u**2 + 145.\nAnswer: -68*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4 - (-12 + 23 + -12)) + 16\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1144*q - 526*q - 253*q.\nAnswer: 365*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1 = -3*o, -9 = -2*c - c - 3*o. Let z be 40\/6 - c\/3. Let m(r) = z*r - 4*r + r. Let k(f) = 2*f. Determine k(m(u)).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -15, 0 = -4*a - 3*p - 6 - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/37*67710\/(-610)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8107*b. Let o(p) = 27*p. Give o(n(h)).\nAnswer: 218889*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 30. Let b = l - -25. Let a(k) = -k**3 + 3*k**2 + k - 2. Let u be a(2). Calculate the highest common factor of u and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 280141, 280135, 280127, 280117, 280105?\n\"Answer: -o**2 - 3*o + 280145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 487*w + 8 = -492*w, -4*m - 2*w + 40 = 0 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71469475397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 371*o**5 + 163518*o**4 - 163518*o**4 + (4*o**4 - 3*o**4 + 0*o**4)*(-3*o + 2*o + 2*o) + 2*o**4 + 2*o**5 - 2*o**4.\nAnswer: 374*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146.59 - -145. Which is bigger: 0.1 or f?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - y - 12 = 2, 4*s + 22 = 2*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 + l + 2. Let s be w(-2). Suppose s = -4*p + 28 + 12. Calculate the smallest common multiple of 14 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -29*y**8\/336 + y**4\/3 + 8*y**2. Find the second derivative of a(q) wrt q.\nAnswer: -580*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b20ba7 (base 12) to base 13.\nAnswer: -126b830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1. Let g(a) = -a**2 - 17. Give -g(x) - 6*s(x).\nAnswer: x**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (264\/(-2200))\/(27\/(-3375)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 59213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -77 - -77. Let o(m) be the first derivative of -3\/4*m**4 - 3 + d*m + 0*m**3 - 3\/2*m**2. What is the second derivative of o(a) wrt a?\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = 3*q + c + 3, -2*q - 175 = 3*c. Let p = q - -246. What are the prime factors of p?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2107*w - 101. Let o be i(8). Let d = o - -47246. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, u: 4, o: 1, h: 2}. Give prob of picking 2 u and 1 o.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2299) - (sqrt(1900) + 1).\nAnswer: -1 + 34*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 1)*6*(-6)\/90. Let w(r) = -5*r**2 + r + 1. Determine w(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2) + 27\/18. Suppose -l*q + 4 = -2. Let p be ((-27)\/18)\/(q\/(-8)). Put 5, -7, p in descending order.\nAnswer: 5, p, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*-2 - (1 + sqrt(153))**2.\nAnswer: -154 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*y + 20, 6*y - y - 4*m = 45. Put y, -2, 3 in increasing order.\nAnswer: -2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0*r**3 + 2*r**2 - 55 - 3\/20*r**5 - 1\/4*r**4 - r. Let x(l) = -9*l**3 - 8*l**2 + 11. Give -8*q(t) + 3*x(t).\nAnswer: -3*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25514.\nAnswer: 2, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*5*1\/(-125)*15.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1100020?\nAnswer: 1100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*i**3*m*v**2 + 32302*i**3*y**3 + 21*i**2*m*v**2 + i**2*m*y - 2*i*m*v*y**3 - 36*i*m*y**2 - 2*v**2*y wrt i?\nAnswer: -36*m*v**2 + 193812*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 a when two letters picked without replacement from aaajbaaaafjbjbfaj?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 147 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -137946.8497 rounded to the nearest one thousand?\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48257 and 43870.\nAnswer: 482570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 + 48. Suppose 3*o + 5*c = 8, 0*o + o + m*c + 4 = 0. What is the derivative of -2*b**4 - 20*b**4 + 0 - o - 9 wrt b?\nAnswer: -88*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 613624.\nAnswer: -97\/613624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 39 (b) -0.5 (c) -1069.25 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 117 + 28*j**2 + 119 to t*j**2 + z + d*j and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 32448 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1168, -3, 4, -9, -1, 5 in increasing order.\nAnswer: -9, -3, -1, 4, 5, 1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1092.2565 + 5.\nAnswer: 1097.2565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/148735 and -61\/45310.\nAnswer: 6841810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/4*(-4422)\/2211.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-3)\/(-30))*-11*280\/(-110).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, i: 2, g: 1, q: 1}. What is prob of sequence iqg?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p**(-8\/7))**25 assuming p is positive.\nAnswer: p**(-1025\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26462 + 3175393\/120. Find the common denominator of g and -143\/3192.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -312 by 495.\nAnswer: -104\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 a when four letters picked without replacement from aaaaaaaaaaaaaaoaaaaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = -10*q. Solve q = -0*t + 3*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3540336 (base 7) in base 9?\nAnswer: -750750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0051508 to 5 dps.\nAnswer: -0.00515","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 45*k - 2. Let o be q(-45). Let y(v) = 11*v + 2. Let f(p) = -208*p - 39. Determine o*f(g) - 39*y(g).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8793199 rounded to the nearest one hundred thousand?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 + 10*x**2 - 2*x. Let o(q) = -4*q**3 + 10*q**2 - q. Calculate 2*l(p) - 3*o(p).\nAnswer: 2*p**3 - 10*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + 0 + 12 + -3. Let z(j) = -25*j - 5. Let s be z(6). Let u = s + 326. Calculate the highest common divisor of u and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - -4. Let g be (4\/a)\/((-12)\/20). What is the biggest value in g, -2\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429555 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.101661.\nAnswer: 0.0304983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 892 + -609. Let g = 3115\/11 - m. Let h = -0.3 + 0.2. Sort g, -5, h in decreasing order.\nAnswer: g, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1726259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -453836507 by 1.\nAnswer: -453836507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1076446 divided by 2\nAnswer: 538223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -13*w - 5 - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**15)**(-6\/11) assuming t is positive.\nAnswer: t**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 511039927.\nAnswer: 443, 1153589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303 divided by -46227.\nAnswer: 101\/15409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*s**2 - 19*s**2 - 23*s**2 in the form u + g*s + a*s**2 and give a.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -3 (b) 2\/15 (c) -4 (d) -328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -42*s - 1738. Give d(-45).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74 by 55.\nAnswer: -74\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05 take away -0.282716?\nAnswer: -1.767284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(85)*2 + sqrt(85)))\/((sqrt(125) + sqrt(5) + sqrt(5))*-5))**2*-2.\nAnswer: -4896\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s**2 + 611*s - 4*s**2 - 30*s**3 + 29*s**3 - 475 - 609*s to the form k*s**3 + t + r*s + x*s**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + (-6)\/9. Suppose 0 = 4*m + 3*i + 54, 3*m - 3*i + 51 = -0*i. Is (q + 13)*(1 + (-55)\/m) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-700))\/((-204)\/(-714))?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q = -19*q - 6*m - 77, 0 = -2*q - m - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 12*o**2 + 20*o + 3. Let v be k(10). Solve 0 = -v*g + 4*d - 22, 3*d = g + d + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose -u = 5*b - 114, -3*b + i*b - 26 = -u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -5*d**4 - 5*d**3 - 1613*d**2\/2 + 1366. What is the second derivative of m(a) wrt a?\nAnswer: -120*a - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**9*z)**(1\/16))**(-2\/17) assuming z is positive.\nAnswer: z**(-5\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -682967 < -682979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.5 (c) 0.1 (d) 1\/9 (e) 0.0266\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*c - 3. Suppose -c = -5*f + 8. Let o(v) = 4*v**f - 2*v - 8*v**2 + 0*v. Let m(d) = -17*d**2 - 9*d. Calculate 2*m(y) - 9*o(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/9)\/(-2))\/(8\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y + 24 = 0. Let q = -16225 - -16227. Let r(f) = 2*f. Let t(k) = 8*k. What is q*t(l) + y*r(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18\/31 + 843\/310. Suppose 4*g + 19033 = 3*n, 19053 = 2*g - 6*g - n. Let d = -42914\/9 - g. What is the common denominator of p and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 11*y - 4*y - 5*y)*(69*y - 109*y - 153*y) in the form r + z*y + v*y**2 and give z.\nAnswer: 579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1505666?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -0.127, 0, -2\/3, 0.5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26345588 and -3.\nAnswer: 79036764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 33*z - 26*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**7\/15 + 25*z**3\/6 - 7*z**2. Differentiate i(a) wrt a.\nAnswer: -56*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y + 7*y - 3*y - 4*y in the form q + u*y and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 35 = -t, -3*b - 4*t + 9 = -36. Calculate the remainder when 207 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -259*s**3 - 3*s**2 - 3*s. Let h(y) = -2070*y**3 - 25*y**2 - 25*y. Determine -3*h(k) + 25*l(k).\nAnswer: -265*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 495*g**2 + 163350*g + 17968500.\nAnswer: (g + 330)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 0.4 (b) 57 (c) 0.07 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 12:36 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 5*b - 16 = 0, 841*s - 838*s = 5*b - 23 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d0 (base 16) in base 11?\nAnswer: 1771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*y + 4 = 0, 0 = -2*f + 294*y - 298*y - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 9*a - 3*a + 1)*(515*a - 515*a - 35*a**3) as k*a + z*a**4 + c*a**3 + n*a**2 + s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(((j*j**(-15))\/j)\/j)))\/j)**(-50)*j**(-26)\/(j\/j**5) assuming j is positive.\nAnswer: j**828","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105947 is divided by 672.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1317551, 2635099, 3952647, 5270195, 6587743?\n\"Answer: 1317548*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**2 - 9*w - 5. Let c be m(7). Let v(o) = -79*o + 149*o - c*o. Let j(x) = -x**2. Give j(v(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 14, l: 1}. Give prob of sequence bllb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/21, 3, -4, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -6. Let b = -3\/223 - 1109\/446. What is the second smallest value in x, 1\/4, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 9) in base 7?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-30) - 0)\/((-114)\/1140)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1106 - -1110. Solve 0 = -v - 5 + z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 3. Give i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.39 (b) 3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2399.591 weeks?\nAnswer: 1451272636800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 4. Let y be g(-4). Let s = 899 - 851. Calculate the highest common divisor of s and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + u**2 - u - 4. Let s = -11 - -11. Let o be d(s). Which is the biggest value? (a) 1 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l - 698802 = -246802. What is l rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*y + 37 - 14, -y + 4 = 0. Solve -t*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-14)*(18\/(-6))\/6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -61669.9833 to 0 dps.\nAnswer: -61670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6530212 to the power of 1\/2, to the nearest integer?\nAnswer: 2555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/20 + c**2\/2 + c. Let h(l) = -9*l**2 + 9. Let y be 2 + (3 - 4)*1. Let n(m) = y*h(m) + 3*p(m). Factor n(s).\nAnswer: 3*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 69*i + 10. Let m(h) = -110*h - 16. Let f(l) = -5*m(l) - 8*v(l). Let u(s) = 50*s**2 - 2. Calculate f(u(n)).\nAnswer: -100*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 59 = -3*z, -2*z - 28 = -w + 51. Let v = w - 68. Solve 0*s = 3*o - 4*s + 9, -4*o - v*s - 12 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -3. Suppose -u*j = -0*j + 4. Which is the third smallest value? (a) -2\/9 (b) 2\/11 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 91568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b*q**4 - 41*b*q**2 - b*q + 2*q**4 + 109052*q**3 - 8717 wrt q?\nAnswer: 48*b*q + 48*q + 654312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2248 is divided by 225?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 782248330 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or -187?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 4*y - y**2 - 3*y)*(-7 + 20 + 8).\nAnswer: -21*y**2 + 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 59*o**3 + 37 + 21 + 44 + 57.\nAnswer: 59*o**3 + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 6:13 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 40438109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 146 - 121. Calculate the highest common divisor of a and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39415 a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxvxvmxxvmxvx. What is prob of picking 2 x, 1 v, and 1 m?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of 1\/2*l**3 + 0 - 7\/12*l**4 + l**2 + 0*l. Is f(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 385814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -149, -588, -1791, -4142, -8025, -13824, -21923?\n\"Answer: -64*i**3 + 2*i**2 + 3*i - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 4, 1, -3, 1691, -5, 2.\nAnswer: -5, -3, 1, 2, 4, 52, 1691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*k + 4*k. Suppose 3*g + k*u = -24, 0 = -4*g + 3*u + u - 8. Let o = 1 + -1.1. Which is greater: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.240999127032 plus -0.01?\nAnswer: -12.250999127032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 651761*o + 28 = 651765*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32067300 is divided by 411118?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -18*n**2 - 127. Let a(z) = 46*z - 14. Let i(m) = 33*m - 10. Let y(r) = -10*a(r) + 14*i(r). Determine j(y(p)).\nAnswer: -72*p**2 - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 + 397 - 516 - 238 + 4*p**3.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3149422 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 6 + -5 + (84 - 73 - 154).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1507\/1692 - 1\/564. Let a = b - 1\/18. Suppose -5*t = -5*w - 10, 0 = -4*t + 7*w - 2*w + 10. Is t smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 0*m**4 + 23\/60*m**5 + 0*m**6 + 0*m + 13\/210*m**7 + m**2 + 1\/3*m**3 - 35. Find the third derivative of g(h) wrt h.\nAnswer: 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 593\nAnswer: 1\/593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o - 1. Suppose 23*s - 22*s + 72 = 0. Let m = s + 80. Calculate the remainder when z(6) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -480, -1194, -2192, -3468, -5016, -6830?\nAnswer: -8904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.67 + 602.\nAnswer: 606.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14174*q**3 + 30371*q**2 wrt q?\nAnswer: 85044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13042*k*x**4 - 3*k + 3217 wrt x.\nAnswer: 52168*k*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 132*m + 430. Give x(41).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 1, b: 1, c: 2, g: 1}. What is prob of picking 1 c and 1 b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let z(b) = -8291*b**2. Determine z(p(v)).\nAnswer: -33164*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8827334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70254.\nAnswer: 2, 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.87 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 3, 0.1, 5, -1.4, -682?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 9*t**2 + 12*t - 26. Calculate k(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3)*2*-1 + 1)**2 + (sqrt(27) - sqrt(27)*-2 - (sqrt(21)\/sqrt(7) + -2)).\nAnswer: 4*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14917240319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - v**3 - 2 - v**3 - 3*v**4 + v to the form x*v + p*v**3 + n + t*v**2 + o*v**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30491 + 242*z - 15247 - 15244 - 222*z.\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {w: 5, g: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 32 + 7. Suppose 2*t + k*m = 26, -5*t + 34 = m - 4*m. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 74600775?\nAnswer: 74600775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -486*g**2 - g - 13. Give u(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9774 and -146.4.\nAnswer: -143.09136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2*h - 2, 4*h + 3*b = -2*b + 26. Suppose -2*r = -3*n + 180, 0*r + h*r + 60 = n. Calculate the highest common divisor of n and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c - 11 = -2*u, -3*u - 3*c = -54. Suppose -4*o - u = 11. Is 16 a factor of (15 + -1)\/((-2)\/o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 128, 161, 230, 347, 524, 773, 1106, 1535?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -260 + 364. Let r = y - 55. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420 - 419.8. Let q = -4 - -8. What is the third smallest value in x, -13\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 6 + 18. Suppose -c = 4*y - 156. What is the remainder when y is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 1.5, 0.4, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2*r**3 + 0*r**3)*(3*r - 29*r - 3*r).\nAnswer: 29*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 141 = -p + 6*p, 2 = -d. Let q = -20 + p. What is the least common multiple of 10 and q?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.742 + -4.7451136. Round s to four decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let j(w) = -w**2. Let f = 10 + -5. Let t(l) = 2*l**2. Let m(g) = f*j(g) + 6*t(g). What is a(m(b))?\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -2*m - t - 3*t, -5*t = 2*m - 205. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 28*o = -50. Let r(z) be the first derivative of 0*z**2 + o + 0*z + 3\/5*z**5 + 0*z**4 - z**3. Let r(v) = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from nznzz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(143) - ((sqrt(143) - sqrt(143)*2)*4 + sqrt(143)))\/(sqrt(11) + (3*sqrt(704) - sqrt(704) - sqrt(704))))**2.\nAnswer: 40*sqrt(13)\/9 + 2233\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/816 and 82489\/5236 + (-16)\/1?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o**2. Let i = -21 + 23. Let v(p) = 0*p + 3*p - i*p. Give l(v(n)).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(3 + -4) + -915. Let x be y\/30 - 8\/20. Which is bigger: -32 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**4\/2 + 190*i**3 - 5531*i**2\/2 - 2955*i = 0.\nAnswer: -394, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 2*i - i)*(-2 + 2 + 2)*(i**2 - i + i).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*n + 32. Let q be (-2)\/7 + n\/14. Suppose 0 = 3*g - 3*o - 45, 5*g - 44 = q*g + 2*o. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6096 divided by 10369.\nAnswer: -6096\/10369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 685699 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 645.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 23*z**3\/3 - 27*z + 5. Let h(q) = 5*q. Determine h(x(o)).\nAnswer: 230*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -1, 1624, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19678 - -19695. Solve 9*b + 156 = -v*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.3 + -32. What is the closest to q in -1, 0.1, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733629024?\nAnswer: 2, 3, 2547323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4343718 to the nearest integer?\nAnswer: 2084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12c - -143?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-10))\/(24\/60). Suppose 0 = -h + r + 30. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 2*u - 5. Let j be (1*u\/1)\/3. Which is the closest to j? (a) -2\/25 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -249*l + 42761. Give h(166).\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 97470.27mm?\nAnswer: 97470270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -0*v + 2*v - 2, s = 5*v - 21. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 1, h: 1, m: 2, l: 1, w: 1}. Give prob of sequence lmwe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15))**(-34)*(c\/(c\/(c**(-2)*c*c)))**(-1\/11) assuming c is positive.\nAnswer: c**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 n, and 1 c when three letters picked without replacement from {c: 3, f: 1, n: 6, t: 2}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + sqrt(192)*-1)**2 - sqrt(432)\/sqrt(9).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - ((14290 - 14219) + (-2 - -1 - (-12 - 0)))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 5. Is w(5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2296194?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 29*x**2 - 25384*x - 50784. What is k(-2)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 10. Let o(t) = t**2 + t - 1. Let h(j) be the first derivative of 6*j - 3*j**2 + 1\/4*j**4 - 38 - 2*j**3. Give v*o(l) - h(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: -5 * 3565326\nAnswer: -17826630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/4)\/(g*(g*g*g**14*g)\/g)*g**(2\/13)\/g**(-5\/7))**(2\/9) assuming g is positive.\nAnswer: g**(-5963\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/210 + 10*v**2. What is m in o(m) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26*(-3)\/4)\/((-5)\/(-10)). Let q = 30 - -35. What is the second derivative of -20*o**4 - k*o + q*o + 4*o**2 - 4*o**2 wrt o?\nAnswer: -240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 999, 936, 875, 816, 759?\n\"Answer: u**2 - 66*u + 1064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5327458 is divided by 4979?\nAnswer: 4907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 8. Suppose 0 = w*t - 12*t. Suppose 2*h**4 + 0*h**4 - 2 - 12*h**2 + 8*h + 8*h**3 - 4*h**4 + t*h**4 = 0. Calculate h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -2*q**3 + 13*q**2 + 10*q + 5. Let b(z) = 3*z**3 - 26*z**2 - 21*z - 10. Let j(g) = -3*b(g) - 5*k(g). Calculate j(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1232\/(-121) - -10)*(5 - (3 - -3)). Factor -14\/11*j - 16\/11 + a*j**2.\nAnswer: 2*(j - 8)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (932\/180 - 4\/(-18))*32\/(-160)*-25?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(660)\/(-6*sqrt(12)))\/((sqrt(66) + (sqrt(66)*4 - sqrt(66)))\/sqrt(6)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/52 (b) 5\/3 (c) 237\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43298.493 - -43319. What is m rounded to 1 decimal place?\nAnswer: 20.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 45760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 - s**3 + 13*s**3)*(3*s + 0*s - s)*(2 + 1 - 4).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 f, and 2 p when four letters picked without replacement from {p: 2, g: 2, c: 6, f: 1, a: 3, t: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 146 + 50. Suppose 13*v + 150 = 1528. Let f = v - j. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 18*x**2 + x - 3. Let y be w(-3). Suppose -6*i + 2*i = -5*v - 298, -y = -2*i - v. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -3.02. Let q = -14 + f. Let a = q + 11.036. What is a rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 2*w + 5*n = 17, 4*n - 20 = 0. Let b = w + 9. Suppose 32 = b*g - 93. Solve 2*o = f - 5*f + 16, g = 5*o + 5*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 9, 1, 120.7, -2, 2\/9 in decreasing order.\nAnswer: 120.7, 9, 1, 2\/9, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 2, o: 1, w: 4}. What is prob of picking 1 w and 1 s?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -59, -119, -209, -335, -503, -719?\nAnswer: -989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010261 rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 517499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:52 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -76\/7, 0.05, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -67*h + 269. Solve 3*b - h*b = 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*s - 4707 = 4043 + 985 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/n**(-1\/21))*n*n))\/n)\/n*n**(6\/7)\/n assuming n is positive.\nAnswer: n**(-65\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 5. Let c be t(-4). Let k(q) be the first derivative of 5*q**2\/2 - q - 4. Calculate k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -45, -15, -243 in increasing order.\nAnswer: -243, -45, -15, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvfvvxvfffvfvfvvvrf. Give prob of picking 1 r and 1 x.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - u - 11599 - 1832, 4*u + 6740 = h. Solve 8*p = 6648 - h for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(112)\/(sqrt(63)\/sqrt(9)*3))\/(sqrt(512) - ((sqrt(512) + 1*sqrt(512) - sqrt(512) - sqrt(512)) + sqrt(512) + sqrt(512)) - 1*sqrt(648)).\nAnswer: -sqrt(2)\/51 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.04 and 6605?\nAnswer: 6605.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + -5 - (sqrt(1300) + sqrt(13))*-1)**2.\nAnswer: -140*sqrt(13) + 2573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Suppose 58296 = q - 25703. Suppose -p = -3*a + q, 0 = 2*a - r*a - 5*p + 84005. Round a to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 3*k - 4. Calculate b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 2843 = 3053 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**2 - 3*o. Let m be z(1). Solve m = 5*l - 5 + 25 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) - (-4)\/(40\/35). Let n(g) = -5 + 6*g**2 - 1 + 2 - 6*g**3 + 5*g - z*g + 7*g**3. Determine n(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, 0.033, -1\/3, -0.3, -5?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202814 divided by -101407.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + (-918)\/117 - (-392)\/(-13). Let d be (-96)\/r + 6\/(-5). Solve -d*y = -9*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -2c3?\nAnswer: -2c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10282 - 4*h**2 - 10282 - 1253*h**3.\nAnswer: -1253*h**3 - 4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3 + 270623*j**2 - 8117846*j + 15153208 = 0. What is j?\nAnswer: 2, 28, 270593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f - 4*y, -3*f + y = -3 - 8. Suppose -f*c + 142 = 30. Suppose -2*l = -0*l - 56. What is the greatest common factor of l and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9289.14874 - 0.24874. Round f to the nearest 100.\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 28*z**2 - 1\/2*z**3 + 41\/60*z**6 + 1\/8*z**4 - 1\/60*z**5 + 0 + 0*z. What is the units digit of t(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-5 + (-19)\/(-6))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from drdddrmdm. What is prob of sequence drdm?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11012, 3, -1\/3, -6.\nAnswer: -6, -1\/3, 0.11012, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -490 - -390. Is ((-25)\/z)\/((-1)\/(-4276)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cqleuqquqqpu. What is prob of sequence ec?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039699933.\nAnswer: 499, 1103, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1391110370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-89)\/4 - 5\/(-20). Let s = -2 + 5. Suppose -38 = -s*t - 101. Which is greater: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 79 - 0?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.9202 + -48.9202. Let l = -0.5 + 0.3. Which is the second smallest value? (a) l (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 13*r**2 - 5*r + 3. What is the smallest common multiple of u(2) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)\/(m*m*m\/(m*m**(-15)*m*m*m)) assuming m is positive.\nAnswer: m**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:41 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -1\/65 (c) 8 (d) -0.23 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 18 = -2*y - 0*y, 0 = -5*d - 6*y + y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 51, 1, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7230 and 150?\nAnswer: 36150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmkyvb. What is prob of sequence svk?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340 - 340 - 37*t.\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2868 and 49565493?\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:18 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, t: 3, s: 8}. Give prob of picking 1 n and 1 t.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-2)\/((-8)\/12). Suppose -q = -0*q + d. Let c be 2 + (q - 39\/(-33)). Is c < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 0 - -17 - 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5508589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 22*x + 77. Let y be w(-25). Sort 1, y, -3, -4 in ascending order.\nAnswer: -4, -3, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 12 - (-2 + -12 - (-195 + 175)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42943 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*f + 111*f = 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/l**22)*l*l**(-7)*l*l\/l**(-21)*l*l\/(l\/l**(1\/47)) assuming l is positive.\nAnswer: l**(1928\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -2531?\nAnswer: 1012.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628084?\nAnswer: 2, 23, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232162*s + 232160*s = 5*t - 3 - 2, 1 = s + 2*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*19\/(380\/(-100))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 458800 and 119880?\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21520125 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 1190.\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 14*r + 2*r - r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33 - -35. Suppose k - 6*k = b - 4, 5*k = -r*b + 8. Let d be 4 + -6 + 23 + -5. Solve -4*f = -k*f - d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*f**3 + 6*f**3 - 2 + 7*f**3 + 2*f**3 - f + f**3 + 303*f**2 to the form d*f + b + c*f**3 + o*f**2 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(2 - 3) - (-3 + -194). Let q be (71 - -1)\/(3\/2). Calculate the greatest common divisor of q and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 680208 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 13. Let r = i - -19.99755. What is r rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -136.5 and 16.\nAnswer: -120.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.13463\nAnswer: -0.13463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1055643?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {y: 4, z: 2, x: 1, r: 1, k: 3, e: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3944 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4126635?\nAnswer: 3, 5, 91703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = 16*v + 3*c + 5, -2*v - 4*c = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69938.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1291852171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56070 = 14*i + 14308. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.2202 + 0.7798. Which is the closest to 246? (a) 5 (b) -0.2 (c) g (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*r - 9 = 9, 19 = 2*p + 5*r. Suppose -c = 0, -4*g - c + 15460 = -p*g. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 135, 128, 121, 114?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19 - 0.21. Which is the second biggest value? (a) -1 (b) -2\/17 (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 + -311a?\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 491932.\nAnswer: 983864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98 + (-4 - (-4 - -4 - 3)). Suppose -99*v + 468000 = -y*v. What is v rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -21, -47, -93, -165, -269?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 574057 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 198820 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*g**2 - 2*g**3 + 5 - 3 - 18*g**4 + 30*g**4 + g + 1 - 11*g**4 in the form m*g**2 + z*g**4 + r*g**3 + b + x*g and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 12:50 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 4. Let z be d(0). Suppose g + 10 = 5*l, g + z*l - 15 - 2 = 0. Suppose g*f - 145 = -w + 42, 0 = -2*w + 4. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/7337460 and 89\/132074280.\nAnswer: 132074280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(165))\/sqrt(3) - 1*sqrt(495))\/((-1*sqrt(3240))\/sqrt(8)).\nAnswer: 4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 28*u**2 - 62*u + 64. Determine k(26).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299) + -5)**2 - (-1*(sqrt(2299) + 1)**2 - sqrt(2299)).\nAnswer: -55*sqrt(19) + 4615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 167c9c?\nAnswer: -167ca4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-3))**8*(x**(-1\/4))**31)**(-6\/25) assuming x is positive.\nAnswer: x**(381\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4515 + 4565.13. What is a rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*m = -105*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 4156750?\nAnswer: 12470250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 103*a**2 - 134*a - 67. What is c(-33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g + 49. Let h be d(23). Let u be (11 - 9)*(2 + 38\/h). Sort u, 2\/9, 0.1, 1 in decreasing order.\nAnswer: 1, 2\/9, u, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one halves of a day?\nAnswer: 22320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((4\/2)\/(-38)). Let o be ((-12)\/10 - 2)\/(r\/(-95)). Sort o, -3, -4 in decreasing order.\nAnswer: -3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*s + 9. Let v = s + 3. Find the third derivative of 4*y**v - 2*y**5 + y**2 + 3*y**5 wrt y.\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x. Let i(a) = a. Let o(f) = h(f) - 3*i(f). Suppose -22 = -4*z - 2*s - 62, -4*s + 16 = 0. Let l = 6 + z. Give o(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6886299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -202*o + 183*o + 76 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 4, -0.4086, 2\/117, 2\/15 in descending order.\nAnswer: 4, 2, 2\/15, 2\/117, 0, -0.4086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 6*m - 40 = 5*n, 5*m + 4*n = 5. Let i be 1 + 0 + -10 + 10. Let b = m - i. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 0*a**2 - 1\/2*a**4 - 37\/5*a**5 - 133\/3*a**3 + 0*a + 30. Find the third derivative of s(m) wrt m.\nAnswer: -888*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + (0 + sqrt(176) - sqrt(176)) - ((sqrt(11) + -1)*-5 + -1*sqrt(44)\/sqrt(4)))*-4)**2.\nAnswer: -1056*sqrt(11) + 6820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 1611, -0.2 in ascending order.\nAnswer: -0.5, -0.2, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/7 - 73110*r\/7 - 730900\/7.\nAnswer: -2*(r + 10)*(r + 36545)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -0.1, -8, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 7*g**2 - g + 1. Calculate the remainder when w(-3) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673636267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 535070 + 154070 = 0. Round p to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*j - 15*j**2 + 2*j + 295*j.\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 673 = -5*n, -536 = -4*n - 0*d - d. Calculate the remainder when n is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2623 - -2f16?\nAnswer: 5539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -119.37 + 89.37. Which is bigger: 28 or j?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 23 = 2. Suppose -5*v - d + 30 = 5, 0 = -u*d. Solve v*w - 1 = 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 413603594*o**2 - 341422119 with respect to o.\nAnswer: 827207188*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/285 and 43\/11970.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.8, 2\/11 in descending order.\nAnswer: 0.8, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516 = -1660*q - 516 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6795*a - 115537. Give v(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.6 and -13.5423084?\nAnswer: 14.1423084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1129 (c) 0.1 (d) -5455\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -133253794 divided by -13217.\nAnswer: 10082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Suppose y = -s*y + 54. Suppose 4*a - 105 = 5*o, -y = -3*a + a + 4*o. What is the greatest common factor of 10 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/17 at least -2\/1097035?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)\/o)\/o**(-37))**(1\/38) assuming o is positive.\nAnswer: o**(33\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-399)\/(-28))\/(-19)*2304\/(-252)*7?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 7:21 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) -2 (c) 2\/13 (d) -1.15 (e) 0 (f) -544 (g) -0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27806, -27814, -27832, -27866, -27922, -28006?\nAnswer: -28124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t**(12\/7)*t)*t**(-2) assuming t is positive.\nAnswer: t**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 330280.3 rounded to the nearest one thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -290206 divided by 209?\nAnswer: -15274\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102.6 + -0.5.\nAnswer: 102.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -367 + 361. Put -4, k, 4, 5 in decreasing order.\nAnswer: 5, 4, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)*k*k**6)\/((k**(1\/11)*k)\/k**(-1\/2))*((k*(k**0*k)\/k)**30)**(-1\/72) assuming k is positive.\nAnswer: k**(3559\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.097 + 0.297. Let z = 239 - 242. Which is the third smallest value? (a) y (b) z (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 + -104. Suppose 39 = -5*t + 69. What is the second biggest value in -2\/11, t, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1074 is divided by 133.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20.550426*3\nAnswer: -61.651278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 4*v - 12, -c + 0*c = -v + 6. Let p = 9 + c. Solve 5*k + 3*s = 24, p = -4*k + 2*s + 3*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/540 and 23\/18?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -27612763 (base 8) to base 6\nAnswer: -341321415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 466, 1063, 1896, 2965, 4270, 5811?\nAnswer: 7588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 1 = -3*x. Let l be ((-2)\/x + 1)\/(6\/9). Find a such that 0 + 2\/5*a - 2\/5*a**3 - 1\/5*a**4 + 1\/5*a**l = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 238 - 315. Let k be (-195)\/(-21) + -1 + 22\/b. Let q(p) = p**2 + p + 3. Let h be q(0). Solve -3*w + 0 = -3*s - 12, -w - k = h*s for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1242643 bigger than -1242636?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 845218637 to the nearest integer?\nAnswer: 29073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 3*o**2 - 10. Let c be q(-3). What is the highest common divisor of c and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 226605 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**2 - 150266*c + 1051764 = 0.\nAnswer: 7, 75126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631975021?\nAnswer: 31, 53, 67, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4174*q**2 + 4170*q**2 - 8325*q**2. Let b(h) = -246*h. Calculate j(b(m)).\nAnswer: 1149804*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = -2*p + 4*w - 17, -3*w - 35 = -5*p. What is the remainder when 37 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 12:34 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000189147 to six dps.\nAnswer: -0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (240\/56)\/(-15) - (-38)\/(-14)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1976 - -1956. Sort v, -3, -1\/9 in decreasing order.\nAnswer: -1\/9, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/(-27)*(-342)\/(-285)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 15 = 20. Suppose -52 - 133 = -a*p. 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 7\/(-7) + 2 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3041 (b) 0 (c) -1.6 (d) 2 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 269*s - 272*s + 2*y, 0 = -2*s - y + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 5*b + 8. Let r be k(4). Solve 3*v + w - 3 = 0, 0 = -5*v + 2*v + r*w + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 104.084 + -1.284. Let b = 103 - o. What is the third smallest value in -0.9, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from hhihxhx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -12. What are the prime factors of (488\/(-10))\/(((-64)\/t)\/(-8))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320637595 a multiple of 85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -13.3, 3?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 63*i - 37. Let q be f(1). What is the highest common divisor of q and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4777*a**2 - 2*a + 1. Let s be y(-1). Let m = s - -1767. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104*b**3*c*y - b**3 - 2*b**2*c*y + 2*b**2*c + 5*b**2 - 2*c*y wrt b.\nAnswer: 624*c*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365783, 731578, 1097373?\nAnswer: 1463168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32442402 - 3?\nAnswer: -32442410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m**3 - m**2. What is the lowest common multiple of 6 and d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 88791*u**3 + u**2 - 13*u + 10. Is y(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24327*x**2 + 24326*x**2 - 72979*x**2 + 24325*x**2 - x - 1359 as d + s*x + g*x**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12145943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258 + -238. Suppose -4 = -4*i + 100. What is the remainder when i is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 5. Let q be x(4). Suppose 4*y - 64 = -2*n, 5*y - y - 100 = -q*n. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**(2\/23)\/u)\/u*u**(4\/7))\/((u**(-1)*u*u*u)\/(u*u**(4\/7))) assuming u is positive.\nAnswer: u**(-124\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 170203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29969 - 29990.949. Let d = 0.051 - c. Let s = d - 15.5. Round s to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3582536 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14793371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (-10 + 3 + 22)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 4:49 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 + 6*s + 39. Does 33 divide w(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + -47 + -13 + 111.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -3*y**4\/4 + 100*y**3 - 7791*y**2\/2 + 14406*y + 7260. Determine w so that m(w) = 0.\nAnswer: 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and -262.04217.\nAnswer: -255.04217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 6 = -26 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 25*n + 69 + 24 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 3. Let f(c) = -1. Let j(q) = 4*f(q) + k(q). Let l(t) = -3*t - 5. Let z be l(-4). Let y = z - 12. Give j(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3012 (base 4) in base 9?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 2994*l + 7 + 2945*l + 7 to the form s + c*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 10*r**2 - 8*r + 2. Let a be s(-3). Let v = 336 - a. Does 59 divide (-7)\/(2 - v\/108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v - 12. Let b be a(0). Let m be -6*(-1)\/(-8)*b. Let c(z) = 4*z - 35. Calculate the smallest common multiple of c(m) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = -8. Let o be (4\/(-8))\/(c\/8). Suppose 0 = -2*f + o + 8. Solve f*w = -6*a + a, -4*a - 8 = 2*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13346273 = 112*p - 13352209 for p.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -199 + 255. Calculate the least common multiple of s and 48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4 + 11*j**3 - 153*j**2 + 513*j - 540 = 0. What is j?\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021202121 (base 4) in base 11?\nAnswer: 35528a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 69*n - 1061. Let i(d) = 2*d**2 - 35*d + 531. Let m(v) = -7*i(v) - 3*s(v). Differentiate m(b) wrt b.\nAnswer: -16*b + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 - 7*x**3\/3 + 4*x**2 + 2*x + 2685. Let z be 3\/((-3)\/(-2)) + 0. Let g = z + 4. What is u(g)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357345111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -343, -684, -1025, -1366?\n\"Answer: -341*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 3*s**2. Let q be f(-2). Suppose -q = -2*g, -3*g + 8 = -2*p + 2*g. Put p, -4, 4 in ascending order.\nAnswer: -4, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*g + j - 2445, 3*j = 2*g - 967. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6097136 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y**2 + 34972*y + 209843. Calculate t(-6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -37. Suppose -7*b - v = 48. Let q(z) = z + 14. Give q(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:27 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-8 + 78\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -68\/3161199 + -3662046722248\/116964363. Let v = -31316 - z. Let j = v - -3535\/666. Calculate the common denominator of j and 93\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1145 in 0.05, 5, 4, 4\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**2 + 129*o + 29. Does 9 divide t(-59)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2337556211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5311, -5158, -4755, -3976, -2695, -786?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0 - 1\/6*b**3 - 1\/12*b**4 - 1\/2*b**2 + 7*b. Let d(k) = 2*k**2 + k + 1. Determine -d(u) - x(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**2 - 1092*p - 51496 = 0.\nAnswer: -41, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -3*l**2 - l. Let d(z) be the second derivative of -z**3\/6 - 21*z - 1. What is d(b(m))?\nAnswer: 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -0*l. Let n(t) be the second derivative of t**3\/6 - 3*t**2 - t. Determine n(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 12 = -3*s + 2, 0 = -5*s. Let p = 254 + -346. Let f be x\/(p\/3 + 2). Is 0 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 5*h + 6. Let b(v) = -3*v**2 - 15*v - 17. Let k be (-58)\/(-14) + 2992\/(-2618). What is k*b(s) + 8*c(s)?\nAnswer: -s**2 - 5*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + o - 3. Let k(x) = 2*x**2 - 2*x + 3. Determine 4*i(t) + 3*k(t).\nAnswer: 2*t**2 - 2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 57 (c) 77 (d) -0.02 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71 + 27 - 22)*(40*h + 43*h + 8*h) to the form k + g*h and give g.\nAnswer: 6916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 416 + -411. Find the second derivative of -599*d**c + 202*d**5 + 128*d + 287*d**5 wrt d.\nAnswer: -2200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25413 - 11491 = -4613*l for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -56*h - 818. Calculate the remainder when 289 is divided by a(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2090776 is divided by 197?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**4 - p**3 + 3*p + 2*p**3 - 1 - 1 + 5*p**4 to the form c*p**3 + a*p + t*p**2 + b + w*p**4 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -561, -1156, -1751?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14879 + 2?\nAnswer: -14877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-9)\/4 + (-2)\/(-12)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 18 (b) 0.09 (c) 1\/438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.00719, -5, 5, 0, 337, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047568381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13949 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express g**4 - 22 + 210 + 36*g**3 - 37*g**3 as y*g**3 + c + x*g**2 + z*g**4 + h*g and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -104 - -103. Let f(p) = -101*p**3 - p**2 + 2*p + 2. List the prime factors of f(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w**2 + 5*w - 16. Let t(r) = 6*r**2 - 4*r + 17. Let l = 23 + -18. Let v(d) = l*h(d) + 4*t(d). Suppose -41*y = -272 - 56. What is v(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 - 10*b + (b + 4*b - 4*b)*(-4 - 2 + 4) + 0*b + 6*b - 8*b.\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7525016.78 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 144\/5 in 77, 0.13, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(33\/51))\/((-4)\/(24 + -16)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 27161.\nAnswer: -5\/27161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 99 = 14. Let x = -11 - q. Is (-817)\/(-9) + x\/27 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktxkktk. What is prob of picking 1 k and 1 x?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0414 - 0.0114. What is the nearest to -2\/5 in y, 1, 0.2, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38552*h**2 - 100606521 + 100606521.\nAnswer: 38552*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 544788 and 740?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 486 + 268. Let u = h - 304. Suppose -5*m - 5 = -u. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 + 33 = -b - 3*p, 4*b + p - 28 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20433, 40869, 61305, 81741, 102177?\n\"Answer: 20436*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l + 0*l - 3*l + (2 + 7 - 5)*(2 + 2*l - 2) + (5*l + l + 0*l)*(1 + 4 - 3) to q*l + h and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*v**4 - 542165*v**3 + 3854*v**2 + 670?\nAnswer: 120*v - 3252990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6689, 5471, 8 in increasing order.\nAnswer: 8, 5471, 6689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-12)\/9)\/(-4))\/(39\/(-117))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.109 and -38.4?\nAnswer: 4.1856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03856 - 0.03856. What is the biggest value in 4, z, -858, 2\/15, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 2 = -17*p. Let l = -248 - -1738\/7. Factor 0 - 4\/7*n**p + 2\/7*n**3 + l*n.\nAnswer: 2*n*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 12*d - d + 11*d as m*d + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 531887358*h + 577836963 with respect to h.\nAnswer: 531887358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4*l = 20, -7*l - 17 = 5*g - 8*l. Put 11, -1, -5, g in ascending order.\nAnswer: -5, g, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5179416729 and 6.815.\nAnswer: 5179416735.815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2011 + 3410. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 2\/379, 10057, 5?\nAnswer: 2\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(33))\/(sqrt(539)*-1).\nAnswer: -6*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (603552\/804736)\/(((-19)\/(-3))\/((-1)\/(-9))).\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1346599789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 13*b - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 48609560 to the nearest 1000000.\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus -45.81?\nAnswer: -39.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -41427?\nAnswer: -4\/41427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 5*d - 1. Let a be q(6). Let g(r) = r**3 + r**2 - 5*r. Let s be g(2). Solve -1 = -s*f + a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*i + 19 - 162. Suppose j + 2*g - i = -2*j, 0 = 4*g + 20. Solve j*d - 2*d = -10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1814 divided by 31526?\nAnswer: -907\/15763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 3 + 1 + 2. Let m be k(-6). Suppose n - 4*n + 165 = m. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -1, 2464, 0, 1 in decreasing order.\nAnswer: 2464, 86, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3957099 is divided by 48257.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 2 i when four letters picked without replacement from tniciff.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*n + 164*n - 763*n - 1350*n - 1 to j + l*n and give l.\nAnswer: -1915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6528 to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 168 divide 7018704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/40104 and -103\/540.\nAnswer: 601560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3663.\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*y**2 - 120*y**2 - 133*y**2.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1691, -0.068, -2?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5 + 3 - d + 2. Let f(i) = -i - 1. Suppose -1 = -4*s - 13. Let m(a) = -a - 3. Let c(x) = s*f(x) + m(x). Give c(l(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 280 + -298. Let y be (18\/108)\/(16\/42)*m. Do y and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42717 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 15*n**2 + 8*n + 17. Let g be v(16). Let q = -58 - g. Suppose 2*i - 4*i - w = -19, 4*i = w + q. Solve m = 5*m - i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 278, 1\/4, -3, -1 in descending order.\nAnswer: 278, 1\/4, -1\/4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 2038 divide 75284526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-3)\/1)\/(-15))\/(1\/6). Is 2 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = 90 - 2. Sort 0, 1, o in ascending order.\nAnswer: 0, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 314 - 308. Is ((-63762)\/(-180)*q)\/(1\/5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1453*o**2 - 2911*o**2 + 38 - 235 + 1453*o**2.\nAnswer: -5*o**2 - 197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*198\/(-891)*(5 - (-26)\/(-4)). Let b(i) = -1 + 2*i + i**2 + i**2 - i**2. Calculate b(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16632*b**4 - 71*b**3*r - 20*b*r + 2*b + 45823*r - 2 wrt b?\nAnswer: -199584*b**2 - 426*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(6\/1))\/(40\/(-20))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2232434, 2232433, 2232432, 2232431?\nAnswer: 2232430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + dc49d?\nAnswer: dc49d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 118*r**2 + 128*r**2 + 6*r - 4*r.\nAnswer: 246*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u. Let g(k) = 3*k + 18. Let m be g(11). Let x = m + u. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -8, -2*j + 4*d = 3*j + 41. Let v be 8 - (0 + j\/(-1)). Solve -5*m = -v*s + 15, s - 3*m = -3*s + 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.9 + 1.54. Let r = -0.394 - d. Let a = 0.946 - r. Round a to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 4*o + 17, 5*c = -4*o - 4493 + 4478 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**5\/20 - 5*i**4\/24 - i**3\/3 - i**2\/4 - i + 2. Find t, given that g(t) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 88\/5 of a decade?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.1 times 5?\nAnswer: 640.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12951663.\nAnswer: 3, 53, 81457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/13 - 222\/78. What is the tens digit of c\/((-15)\/16)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.08, 0, -3 in increasing order.\nAnswer: -9, -3, 0, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -34, -48, -68, -94, -126, -164, -208?\n\"Answer: -3*m**2 - 5*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3\/2)*q)*q*q**(-2\/5))**(2\/19))**(-22\/3) assuming q is positive.\nAnswer: q**(-154\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 24 + 12)*(2 - 5 + 2)*(2*u**3 - 2*u + 8*u - 2*u).\nAnswer: 40*u**3 + 80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-5)\/u**(-5)*u**(-3\/5)\/(u**1*u)*(u**(-3\/2)\/u**(2\/17))**(-12) assuming u is positive.\nAnswer: u**(1429\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajpj when four letters picked without replacement from {a: 4, j: 10, p: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1419 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -9859\nAnswer: 29577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*n + 28. Let v = -2 - n. Suppose -80 = a - v*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 2928?\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -410323.273 and -0.4?\nAnswer: 164129.3092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21, 173, 579, 1365, 2657, 4581, 7263?\n\"Answer: 21*i**3 + i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5877898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1, 2\/39, 5 in descending order.\nAnswer: 5, 2\/9, 2\/39, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32508558143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7525\/(-375) + 20 - ((-34)\/(-17) + (-1169)\/(-15))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9288 by 1548.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.01 (b) 2\/9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (2 - 20) + 53746\/4158\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7))**(-37)*z**14*z\/z**16*z assuming z is positive.\nAnswer: z**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -204*m. Let j(g) = -2*g**2 - 4*g + 87. Determine j(o(h)).\nAnswer: -83232*h**2 + 816*h + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -46*l**2 - 49*l**2 + 3*l + 143*l**2 - 47*l**2. Let s(a) = -3*a. Determine 5*d(c) + 4*s(c).\nAnswer: 5*c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, v: 2}. Give prob of sequence uvu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 15.21635 tonnes?\nAnswer: 15216350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -279263585489+25.3\nAnswer: -279263585463.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 194527400?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/9 + 1004*n\/9.\nAnswer: 2*n*(n + 502)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -26. Let n(b) = 16*b + h*b**2 - 3 + 5 + 9. Is n(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -55, -2\/17, -2, 5.7508?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8836 greater than 18633?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 15487839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/102 - (-1566)\/306?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -10101000100000111?\nAnswer: -10101000011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.59547mg to micrograms.\nAnswer: 32595.47","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -22610 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 294\/5 (c) 0 (d) 4 (e) -5\/3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326 + 257 - 825 + 4*k + 249 - k.\nAnswer: 3*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -6, -2, -4, -187, -7.\nAnswer: -187, -7, -6, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -846\nAnswer: 4230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 840 divide 120960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -59, 46.8, -0.75, 0.4 in ascending order.\nAnswer: -59, -0.75, 0.4, 46.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1466 and 0.731?\nAnswer: -1071.646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + a + 15. Let s(q) = -7*q**2 - q**3 + 3*q**2 + 7*q - a*q - 4 + 2. Let u be s(-5). Solve u*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8408 - -10965. Calculate the remainder when a is divided by 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38737.164 - 38544. Let g = q - 0.164. Let z = 192.999843 - g. Round z to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16321 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/53 (b) -0.8 (c) 5\/6 (d) -0.029 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 4*w + 7*w - 5, w = -3*i - 1. Let k = 6 + -4. What is the tens digit of i\/k*-1*76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y + 7467 = 58*y + 2567 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*2)\/(-6*sqrt(48)\/sqrt(6)) - ((sqrt(405) - (-1 + sqrt(405))) + -2 + (sqrt(405) - (sqrt(405) + -2*sqrt(405)))*2)**2.\nAnswer: -6481 + 71*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:57 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + -2 + -2 + 4. Suppose 18 = -j + 27. Let a be 6\/j*(-39)\/(-2). Solve l*x + a - 38 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 + 3*x**2 - 3*x - 3. Let p(t) = 3*t**3 + 4*t**2 - 4*t - 4. Suppose 0*o - 3*o - 3 = 0. Let y = o - 3. What is y*c(f) + 3*p(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 32*u - 1975. Let s be i(31). Put 5, 3, 1, s, 66 in descending order.\nAnswer: 66, 5, 3, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445\/(-979)*2\/30?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 9. Let z be j(-21). Suppose -3*c + k + 360 = 0, -2*c + 0*k - 4*k = -240. Suppose -h = 3*h - c. Calculate the greatest common factor of z and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116861*g - 11174 = 116936*g - 4199 for g.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen quarters of a millimeter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 y when three letters picked without replacement from {y: 3, q: 1, l: 4, c: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -879 + 76475\/87. Which is greater: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -2*c - 31. Let i = c - -38. Let f = -31\/12 - -41\/12. Is i less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, v: 1, h: 4, o: 5}. Give prob of sequence ooov.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 4956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -292, -5, 1 in descending order.\nAnswer: 4, 1, -3, -5, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 - (3 + -7 + (-22 - -20)) - -6?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o + 20. Let c = 14 + -9. Solve -2*y - j = -o, 3*y - 5*j + j = -c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113547139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 16414, 16363, 16226, 15961, 15526, 14879, 13978, 12781?\n\"Answer: -7*m**3 - m**2 + m + 16421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5326108 is divided by 3226?\nAnswer: 3208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of s**6\/10 + 3*s**5\/5 + 16*s**4\/3 - 82*s. What is the third derivative of x(g) wrt g?\nAnswer: 72*g + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*1\/((-2)\/(-29)). Let n(j) = 30*j - 61. Let w be n(3). What is the highest common divisor of a and w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2489 = 13*h - 2243. Let k = h - 360. Let g(c) = c**3 - 6*c**2 + 2*c - 9. Let j be g(6). Solve 3*q + q - k = -j*w, -2*w = 4*q - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m = -26*m + 805 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 4148 (c) 5\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -10*h**2 - h. Let j(r) = -9*r**2 - 1. Let k(d) = 2*j(d) - 3*u(d). Determine k(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/48*(-1)\/3*1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -874*f**5\/5 - 1358166*f**4\/5 - 4020098*f**3\/5 + 145806*f**2\/5 + 18612*f\/5 = 0.\nAnswer: -1551, -3, -1\/19, 0, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11 >= -1116487?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5 = -2*p, 7 - 21 = 3*p + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 + 5*j + 4. Let l be f(-6). Is 2 a factor of 74\/l + 6\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) 1\/11 (c) 0.27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/7824 and -149\/96?\nAnswer: 15648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23463 is divided by 48?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1718748358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*r + 5*r**2 + 4 - 55*r - 2 as m + g*r**2 + i*r and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**3*n))\/(n*n**7))\/(n*n*n**(-1\/4)*n)**33 assuming n is positive.\nAnswer: n**(-403\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.974 + -0.056. Let r = 4.7 + c. Let z = r + -3.11. What is z rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -45, -32, -13, 12, 43, 80?\n\"Answer: 3*x**2 - 2*x - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {r: 16, y: 2}.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -10*p**2 + 750*p - 3. Give n(75).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*sqrt(165)*-1)\/(5*sqrt(10)\/sqrt(2)))\/((sqrt(63)\/sqrt(3)*6)\/(2*sqrt(448))))**2.\nAnswer: 2816\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 140 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = -3*s, -9 = -s - 0*j - j. Suppose -g = s*z + 19, 13 = -4*z + 3*z - 3*g. Let r be (-8)\/(-15)*(-72)\/96 + (-8)\/5. Sort z, 3, r in descending order.\nAnswer: 3, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38049906*g**2*m**2 + 5*g**2*m - g*m**2 - 32*g*m - m + 5868 wrt m.\nAnswer: -76099812*g**2 - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 1)*(8282*w - 7081*w + 4078*w + 1)*(0*w + 3*w - w).\nAnswer: 10558*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -59.82*0.3\nAnswer: -17.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131940554*i**4 + 692944123*i**2?\nAnswer: 3166573296*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 20*b + 191. Determine d(31).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 770 = 760, 3*g = d + 3 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 511550 + -4?\nAnswer: 511542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 563680448 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13905*y + 166894. Determine c(-12).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20*2\/(2 + -4). Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + sqrt(153)*-2)**2 + -1 - sqrt(153)*-2*-6) + -2.\nAnswer: -36*sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 40144, 40142, 40140, 40138?\n\"Answer: -2*x + 40146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 164*q - 3 + 3.\nAnswer: -164*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2*y**4\/5 + 14*y**3\/5 - 90*y**2 + 1498*y\/5 + 392 = 0.\nAnswer: -20, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 + -7 - (-18 + 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -11. Let r be 2*(n + 5 - 4). Let k be ((-25)\/2 + 2)*r. Solve 5*l = -2*i - k, -4*i = 16 - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 2 + 3 - 1. Let l be d(0). What is the second derivative of m - 3*m + l*m**2 - 5*m**2 wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + 104*y - 2402. What is n(-51)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(3*f**2 - 4*f**2 + 2*f**2) + 430*f**2 - 2860*f**2 + 16*f**2.\nAnswer: -2413*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -47.665 (b) 0 (c) 0.7 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 474847, 474834, 474825, 474820, 474819?\n\"Answer: 2*b**2 - 19*b + 474864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -3242?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206277096.\nAnswer: 2, 3, 97, 88607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250875.\nAnswer: 3, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3013977*o + 25460 = 3013787*o for o.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-15)\/(-12) + -1). Let g(p) = 5*p. Let b(h) = 3*h**2 - 4. Let r be b(-2). Let n be g(r). Calculate the greatest common divisor of n and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/43 + -51\/172. Let z = 12.1 + -1.1. Let i = 12 - z. Which is the nearest to i? (a) 3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 17. Let n be 6*12\/(-9)*-1. Let z be n\/(34\/(-36) - -1). What is the greatest common factor of z and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*s**2*v**3 - 95*s**2*v + 19*s*x + 23323*v**5*x - 3*v + 4*x wrt v.\nAnswer: 90*s**2*v + 466460*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 339, 658, 965, 1254, 1519?\n\"Answer: -j**3 + 326*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*h + 76*h + 648*h.\nAnswer: 573*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 7*d**2 + 9*d + 3. Let n be y(-8). Let z be (-8)\/(-6)*(2 + n). Let b be (15\/12)\/((-1)\/z). Solve -3*k - 3*c + 4*c = -6, -20 = -5*k + b*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/5563, 1\/11, -2\/3, 0.08, 0.11, -0.1?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399.5 + -400. Suppose 4*z - 33 = -13. Suppose -g - 3*m + 23 = 3*g, z*g - 30 = -5*m. Sort p, g, 2.\nAnswer: p, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - l + 161*l**3.\nAnswer: 161*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) 2\/19 (c) 6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11192 < 11198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of 1\/10*n**5 + 88*n - 17\/6*n**3 + 0 - 23\/42*n**7 - 3\/2*n**2 + 0*n**4 + 0*n**6. Find the second derivative of y(g) wrt g.\nAnswer: -460*g**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16575691331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 9}. Give prob of sequence mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 + 2 = m - 2*q, -218 = -3*m - q. Let y = 74 - m. What is the highest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17707 = -5*z + 2668. List the prime factors of z.\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5 - (-196)\/315?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/9)\/((-2)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -5*d - 4 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 25 - 14)*(-2*k - k - k).\nAnswer: -104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, w: 7}. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 560 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (-80)\/44) + -3*1. Put z, 0.5, -2 in descending order.\nAnswer: 0.5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 108611, 217205, 325797, 434387, 542975, 651561?\n\"Answer: -w**2 + 108597*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 32. Let w be 4\/6*(-33)\/22 - -37. Let d = w + b. What is the greatest common factor of 84 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {n: 1, s: 1, r: 5, e: 6, t: 1}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 15 = -5. Let m be 0 + 0 - (0 - n). Find the third derivative of -z**5 + 2*z - 2*z - z**m wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10889, -381, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 + -171. Solve -u*z + 9*z = 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 395384 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/1 + -6)\/(2\/2). Sort 19, 2, p in ascending order.\nAnswer: p, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 1. Let p(x) = x - 2. Let i be p(2). Let h be n(i). Let k be ((-1)\/(-5))\/(h + -2). Is 0 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**4*r)**(1\/25)\/(r*r*(r**(6\/11)*r)\/r*r*r*r*r*r**(-1)*r*r))**(-32) assuming r is positive.\nAnswer: r**(67104\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3532 divided by -3532.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543571039.\nAnswer: 11, 17, 919, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*2*sqrt(832)*-2*4)**2 + -1.\nAnswer: 212991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17)\/(k*k*k\/(k\/k**13)))\/(k**20\/(k*k\/k**(5\/6))) assuming k is positive.\nAnswer: k**(-305\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230225163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 2*r**2 + r**2. Let t(x) = -439*x + 19*x**2 + 439*x. Calculate i(t(z)).\nAnswer: 361*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 699\/5 + -140. Let w = 0.07 + -0.37. Which is the third smallest value? (a) m (b) -2\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.32, -26, 1, -13, -5, -2\/5 in descending order.\nAnswer: 1, -0.32, -2\/5, -5, -13, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 take away 12589?\nAnswer: -12589.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -145 divided by 2382.\nAnswer: -145\/2382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.566 + 0.66. Let r = 0.544 - b. Let d = 1\/16 + 3\/16. Which is smaller: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 610.8 - 565. Let x = -46 + t. Let v = 11 - 7. Which is the closest to -1? (a) -1 (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 231 - 209. Suppose r + 5*j + 6 - 2 = 0, -4*j + d = 5*r. Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/3 + 246811*b**3\/3 - 6768352899*b**2 + 556812087283865*b\/3 + 1113705396777022\/3 = 0.\nAnswer: -2, 82271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 86 + -122. Let c = 35 + u. What is the third smallest value in c, 5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 96. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 - -50. What is the remainder when 39 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**4\/2 + 79*s**3 + 613*s**2\/2 - 240*s - 1386 = 0.\nAnswer: -154, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-424 + 177 + 177)*((f + 2*f - 2*f)*(-5 + 1 + 3) + f - 3*f + 0*f - 1 + 1 - 2*f - f + 6*f - 3*f + 0 - f + 0 - f + 0 + 0) as w*f + j and give w.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2628 is divided by 2598?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*r + 140507 = 1587*r - 45695 - 87782 for r.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 157220 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 25 + 5 + 5 - 20 - 333*i**2 - i to s*i + t*i**2 + u and give t.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/133*(-98)\/28. What is the third smallest value in 0.2, x, -2\/9, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d - 15 = -18*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 8*o**2 + 2*o + 11. Let v = 5 - -13. Let g = 13 - v. Let j = -13 - g. What is f(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 7 - 8)*(2 - 2 + 1)*(0*o + 2 + 1 + o).\nAnswer: 14*o + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*c + 9003 = 449, 5*a - 14258 = -3*c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**3 + 2 - 5\/6*h**4 + 82*h**2 + 0*h - 1\/120*h**6 + 0*h**5. Find the first derivative of b(u) wrt u.\nAnswer: -3*u**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 m when four letters picked without replacement from ssmymmssmsyysysy?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/8)*u*u**(1\/7)*(u**(-2))**(-2\/21))\/(u*u**(-3\/11)*u*u**13)**(4\/11) assuming u is positive.\nAnswer: u**(-8413\/2904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 533229.\nAnswer: 3, 177743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -3887.2912 bigger than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-3\/4)\/y)\/y)\/(y\/(y\/(y**(2\/13)*y))))\/(y**(-16)\/y**(-19)) assuming y is positive.\nAnswer: y**(-307\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Let a(y) be the first derivative of 3*y - t*y**2 - 9*y - 9 + 13*y. Find the first derivative of a(g) wrt g.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 233807231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j - 10 + 13*j**2 + 3 - 19*j**3 - 2. Let y = -16 + 10. Let a(t) = 9*t**3 - 6*t**2 - 5*t + 4. What is y*g(x) - 13*a(x)?\nAnswer: -3*x**3 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 86212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45495, 90978, 136459, 181938, 227415?\nAnswer: 272890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11922683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {e: 1, z: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(160))\/sqrt(5) - (sqrt(24)\/(sqrt(12) + 1*sqrt(12)) - sqrt(4)\/sqrt(2)*-2))**2.\nAnswer: 169\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*((1 - (-140)\/(-21)) + 5). Solve 2*b + 12 = o*a, 4*a + b - 8 - 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 12*r - 7. Let p be f(15). Is 15 a factor of (2 + -8)\/((p\/(-40))\/(-13))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 16425*j**3 - 3*j**2 - 6*j + 6. Let a be t(6). Let r = a + 52338. Round r to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 26815212?\nAnswer: 26815216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/120 and 99\/31430.\nAnswer: 377160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 205667696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 222480757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/50)*o))\/(o**(5\/6)\/o)*(o**(-3\/7))**(-8) assuming o is positive.\nAnswer: o**(1877\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1476 - 1416.3. Let q = d + -63. Round q to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 33*s**2 + 58*s + 223. Does 20 divide q(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1 + 82407*h - 2 - 82403*h. Let s be (2 + 0 + -3)*-2. Let l(b) = -s - 6*b + 6 + 1. Calculate 5*l(m) + 8*v(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*k**2 - 49*k**2 - 50*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71074 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -688, -691, -694, -697, -700, -703?\nAnswer: -706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:00 AM?\nAnswer: 1:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -377509398 divided by -7.\nAnswer: 53929914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440 - 214. What are the prime factors of t?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 smaller than 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 10:21 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/5))**7\/(r\/(r**(1\/2)*r)*r*r)**27*(r**(-1\/3))**(-1\/12)*(r**(-2\/3))**(-28) assuming r is positive.\nAnswer: r**(-3421\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 921549500 to the nearest 1000000.\nAnswer: 922000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**5\/45 + 11*w**4\/18 - 13*w**2 - 4. Let y(d) be the second derivative of q(d). Factor y(m).\nAnswer: -4*m*(m - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from rrkwrtttkcd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**2. Let z(a) = -3*a**2 - 3*a. Let h(o) = -o. Let g(v) = 6*h(v) - 2*z(v). Calculate l(g(t)).\nAnswer: 72*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 850 and 19210?\nAnswer: 96050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6*s + 12 = 0. Let r be s + -2 - (1 - 2). What are the prime factors of (2\/(-2))\/(r\/(-26))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*l + 36*l + 399 + 83*l with respect to l.\nAnswer: 181","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*o - 7. Let a be o\/(3\/(-1))*-11. Solve 5*c + a = t - 15, t - 2*c = 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 5*j - 5. Let i be t(5). Let f = 21 + -22. Put f, i, 4\/3 in decreasing order.\nAnswer: 4\/3, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9798, 39219, 88244, 156861, 245058, 352823, 480144, 627009?\nAnswer: 793406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h - 9. Let u be l(7). Let c be (-3 - u\/(-6))*(1 + 1). Solve 4*q - 11 = c*y, -2*y = -3*q - 6 + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.674 to one decimal place.\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36711?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 2*w**2 + 4. Let a(y) = y**3 - y**2 - 1. What is -4*a(s) + 2*k(s)?\nAnswer: 2*s**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1917 or -12828?\nAnswer: -1917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 42b20b (base 13) to base 10\nAnswer: 1566810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -140\/2087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 90 = i + 2*i, i - 37 = 2*f. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2425 - 2?\nAnswer: -2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -51 (b) 1 (c) -0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 17*m + 910. Let b = m + 85. Let l(n) = -n**3 - 6*n**2 + 2*n - 3. Determine l(b).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 1:54 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 + 0*k**2)*(-2*k**2 + k**2 + 0*k**2) - k**4 - 2*k + 2*k - 3*k**4 + 2*k**4 - 3*k**4.\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.747*0.5.\nAnswer: 3.3735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**2*p**3*y**3 + 6892*a**2*p**3 - 273*a**2*p**2 - 90*a**2*y**2 - 2*a*p**2*y**3 wrt p?\nAnswer: 12*a**2*y**3 + 41352*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 77.46846 litres?\nAnswer: 77468.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 - 34 = -8*n. Suppose 151 = 5*l + 4*s, l - n = -s + 3*s. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i + 20*i + 4071 - 4071.\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + u - 1292 = 0, d + 15*u - 643 = 13*u. What is the remainder when d is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 5*o**2 - 15*o - 13. Let k be n(7). Let t be (-32)\/(-3)*(-1845)\/k. Suppose -x + t = 11*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.2. Let s = -0.11 + 0.05. Let f = s - -0.06. What is the second biggest value in f, k, 1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 7:31 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -1 - (-12 + (28 - 23))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -26. Let l = h - 3. Which is the third biggest value? (a) 0.3 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + (-37 - (-9 + 15 + -20) - -4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p**3 + p)*(p**2 - 5*p**2 + p**2) + (2*p - 6*p + 3*p)*(-p**4 + p**4 - 2*p**4).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -10 + -7 + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-4)\/2 + -154 + 65. Which is greater: -89 or h?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89892 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9200)\/150 - -62)*198\/(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 8:25 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 530308215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/5 and -47\/95295.\nAnswer: 95295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2525, -4024, -8093, -16016, -29077?\n\"Answer: -214*f**3 - f**2 + 2*f - 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -16 + (-141 - -117).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 290861078*q**4 - 154262571*q?\nAnswer: 3490332936*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -653 (base 10) to base 4\nAnswer: -22031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18.5 and 2.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108586653?\nAnswer: 3, 7, 19, 43, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1547353260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21242240 (base 5) to base 16\nAnswer: 2c2d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from ccjjo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 209*p + 27. Let c = 98 - 96. List the prime factors of h(c).\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6311*g**2 + 6314*g**2 - 277*g**3 - 22 + 279*g**3.\nAnswer: 2*g**3 + 3*g**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34.500000909 - 34.5. Round o to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/3 + (-35)\/15. Let d = -16 - -10. Let o be (2\/d)\/((-6)\/72). Put u, -4, o in descending order.\nAnswer: o, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**5 - 4*p**5 - 2*p**5 + (-2*p**2 + 5*p**2 + 0*p**2)*(p**3 - 3*p**3 + p**3) + 2*p + 2*p**5 - 2*p.\nAnswer: -3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00061014 to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 6921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnvv. What is prob of sequence vnv?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.035 take away -0.44?\nAnswer: 0.475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = 3. Solve -10*r**5 + 7*r**5 - 4*r**3 + 2*r**5 + 2*r**3 + 3*r**p = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/21140202 and 2\/31710303?\nAnswer: 63420606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - k - 105 = -6*k, -4*k + 105 = 5*d. Solve 4*w - 5*s = -d, 2*w = -5*s - 3 - 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -z**4 - 1434*z**3 + 2*z**2 - 328872*z wrt z.\nAnswer: -12*z**2 - 8604*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 16*r**2 + 2*r - 26. Determine f(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 2\/5*f**5 + 0*f**4 + 0*f**3 + 0*f**2 + 2 + 3*f. What is the first derivative of p(i) wrt i?\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23369709449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -0.092, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2019 + -2001. Calculate the remainder when 400 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -63*u + 7*u**2 + 83*u - 20*u. Let y(t) be the second derivative of -7*t**4\/12 - t. Calculate x(y(w)).\nAnswer: 343*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 6*a - a - 2*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -42. Let q = 11 + o. Let d = q + 14. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6778957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**2 - 8*a - 3. Let z(h) = 22*h**2 + 34*h + 11. Let u(w) = -9*c(w) - 2*z(w). Give u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7750241?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 22, 71, 144, 235, 338, 447, 556?\n\"Answer: -k**3 + 18*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 13 = -h, 2824*h - 5649*h + 33 = -2828*h + 2*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62035 or 62037?\nAnswer: 62035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 254*m**4 - 2288*m**3 + 2812*m**2 + 5312*m - 42 = 0.\nAnswer: -1, 1\/127, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -671+-74997274727\nAnswer: -74997275398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3134 = d - 434, 3*d - 10722 = 6*g. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*i**2 - 4*i + 131 with respect to i.\nAnswer: -10*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from kkukkkkkkykakkzakkk.\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**2. Let p(y) = -11*y + 6. Let f(t) = 100*t - 55. Let n(z) = 6*f(z) + 55*p(z). Determine a(n(g)).\nAnswer: -225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 15) in base 5?\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h - 13*h**3 - 18*h + 15*h + 8*h.\nAnswer: -13*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82774 to two dps.\nAnswer: 0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-65)\/75)\/13)\/((-980)\/1440600).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 5*v + 3. Let p be j(3). Suppose -3*q = -p*q. What is the derivative of -3*f**2 + q*f**2 + 1 + 2*f**2 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h. Let g(v) = -5*v + 1. Suppose -c + 3 = 4. Let z be (2649\/6 - 5) + (-3)\/6. Let u = z - 437. What is c*m(q) + u*g(q)?\nAnswer: 4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18519?\nAnswer: 3, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-21) + 236\/(-168). Do v and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 2*y**2 + 5*y**4 - 3*y**4 + 1 + 0 + y**4 as g + p*y**3 + i*y**4 + j*y + n*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 45 = -9*q. Sort 2, 0.8, q in decreasing order.\nAnswer: q, 2, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -646590*b**4 + 439250*b wrt b?\nAnswer: -7759080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1*1)\/((-2)\/(-10)). Let k = 6 - 4. Let j = k + -2.4. Which is the third biggest value? (a) 0.1 (b) h (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*s - 81 = 91*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 13. Suppose -i + 71 + 348 = a. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 68. Suppose -7*g = z - 22. Suppose -2*r = g*r - 2600000. Round r to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1693 = -0*w + w, 5*t = 5*w + 2105. Calculate the lowest common multiple of 16 and t.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 153445 - -23?\nAnswer: 153468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, j: 1, d: 2, t: 12}. Give prob of picking 2 d and 1 j.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 438\/(-730)*25\/(-6)*(-101)\/(-25) and -109\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b + 592 = 3*b - 19*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 6*g**2 + 4*g - 4. What is the tens digit of q(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*14\/112*-2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5*w = 392 + 183, 2*r = 3*w - 615. What is the remainder when r\/(-55)*26 - 4\/(-22) is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59.8 - -54.8. What is the biggest value in q, -4\/3, -46?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.725 - 943.725. Let w = t + 942.5. Let p(d) = d**2 + 4*d + 2. Let v be p(-4). Sort -3\/8, v, w in descending order.\nAnswer: v, -3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z + 16. Let u be -2 + (-1 - z)\/(-3). Is -3 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2966438 is divided by 8934?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bti when three letters picked without replacement from tbitt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 33. Find the third derivative of -k*p**2 + 1069 - 17*p**4 - 1069 wrt p.\nAnswer: -408*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-6 + -3) - (1 + 13 - (195 - 187))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 12 = 2*y, u = -2*y - 3*y + 3. Let m = -5 + 2. Put u, -1, m in descending order.\nAnswer: -1, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 110 + -104. Let i be -6*(3\/(-2) + (w - 7)). What is the highest common divisor of i and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 219.51 - 219. Let h = r - 0.41. What is the biggest value in 13\/3, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.5 - 8.5. Are -1 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 157, 346, 525, 688, 829, 942, 1021?\n\"Answer: -c**3 + c**2 + 193*c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8141 = 783*k + 9085 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - (-2)\/4)\/(15\/(-50)). Solve -3*n = -2*h - x, 4*n - h + 5*h - 20 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*z - 3*z + 46*z + (-23*z - 16*z + 6*z)*(1 + 1 - 3).\nAnswer: 89*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345*a + 174*a - 14028 = -183*a. Calculate the remainder when a is divided by 97.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = x - 6*x - 747, -562 = -3*g + 2*x. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-4)\/84*-9 + (-2259)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59790 divided by -6?\nAnswer: -9965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/697590 and 68\/3795?\nAnswer: 7673490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99532 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*n - 149, -16*k = -12*k + 2*n - 270. What is the remainder when 381 is divided by k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 70 = -p + 6*i, -5*i + 162 = 2*p. Let x = -66 + p. Suppose -x*n + 0*n = -90. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*m + 14. Is 10 a factor of 29 - (m - -4 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192 - -9279. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-1)*2 + 1. Let t(c) = -c + 8. What is the least common multiple of t(q) and 17?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - -41. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 1 - (3 + -4 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2692 - 2692. Let m(f) be the second derivative of 1\/2*f**2 - f + 0 + 0*f**3 + p*f**4 - 7\/20*f**5. What is the first derivative of m(z) wrt z?\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6 - 14*a + 6. Let p(f) be the third derivative of -f**5\/20 + 1150*f**2 + f. Give p(t(n)).\nAnswer: -588*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 2, -n = 2*n - 4*b - 7. Let a be 0\/(n + 4\/(-2)). Suppose a = -i - 3 + 6. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 960476 by -9.\nAnswer: -960476\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25314 and -2.11.\nAnswer: -53412.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*k, -4*k + 162 - 128 = -2*y. What is the fourth smallest value in -2\/11, -1\/3, 0.07, y, 5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.056? (a) 5\/4 (b) 3\/8 (c) 2.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**3 + 1 - h**2 - 2*h**4 + 9*h**3 + 0*h**3 + h**4 as b*h + u*h**3 + k*h**2 + m*h**4 + n and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 78061\/229999 + -69\/203. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 79 in 0.2, 25, 6, -1\/1247?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25 - 0.02094627\nAnswer: -25.02094627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*i - 30 = -135*i. Let s be (26 - (-3)\/i*4) + 2. Which is smaller: s or 27?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/74520 and -143\/90?\nAnswer: 74520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v. Let f(j) = j - j + 2*j - j. Let m be 11\/(2\/(1 + 3 + -6)). Calculate m*f(d) + 2*w(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2. Let t(w) = 68 - 68 - 5*w**2. Suppose x + 3*x - 16 = 0. What is x*f(h) + t(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 873\/5320 - -79\/665. Let p be (-276)\/(-57) - (2 - 3). Let v = p + g. What is the common denominator of v and -55\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + x**2\/2 - 86049. Suppose -9 = 4*f - 1. Let y be (-1 + 6)*f\/(-2). Determine m(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 8, 3, 0, -2, 24 in increasing order.\nAnswer: -255, -2, 0, 3, 8, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 0 = -4. Suppose 0 = 2*g - 65 + c. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43793 and 153.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 34890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than 79685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + -3 - 96\/(-56). Suppose 0 = -4*s + 5*m + 8, 5*s + m = 4 + 35. Let q = s - 5. Which is smaller: q or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105 + 132 - v**2 - 10*v**2)*(-6 + 11 + 2)*(-3 + 2 + 2) as p*v + s + b*v**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f = -b - 21, 9 = -4*f - 5*b. Differentiate -2*p**3 + 2*p**3 + 3 - 14*p**f with respect to p.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 1\/30*i**6 - 31\/3*i**3 - 3\/5*i**5 + 48 + 0*i**2 + 0*i**4 - i. What is the second derivative of r(y) wrt y?\nAnswer: 12*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.59 take away 9793662?\nAnswer: -9793585.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -67 (b) 1342 (c) -77 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -79 + 164 + 5*d - 80. Let r(t) = -11*t - 10. Calculate 9*k(b) + 4*r(b).\nAnswer: b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -30801505\nAnswer: 61603010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*s + 4 - 95, 3*r + s = 142. Suppose -r*h = -45*h - 10. Solve h*k - 26 = d, -15 = -3*k - 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 127*a + 2. Let u(o) = 127*o + 3. What is 3*f(j) - 2*u(j)?\nAnswer: 127*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**2 + 7*u + 2. Let f = 26 + -19. Let w(d) = -9*d**2 + 21*d + 7. Let v(y) = f*n(y) - 2*w(y). What is the second derivative of v(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2851 >= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-288))\/(5\/25*(-50)\/6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14544, 27655, 49506, 80097, 119428?\nAnswer: 167499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 + -57. Let j be (-3)\/q + 831\/12. Let x(n) = n**2 - 8. Let a be x(-6). What is the greatest common divisor of a and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193620 divided by 5532.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*v = -3*j + 13, 4*j = -3*v + 18. What is the third derivative of 3 - d**3 - 3 - d**2 + 0*d**j wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22588?\nAnswer: 2, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 3*t + 2391, 4*y = 2*t + 849 + 2329. Let f be ((-1664)\/(-312))\/(4\/66). What is the greatest common factor of f and y?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202614822 divided by -12521.\nAnswer: 16182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/15 and -167\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 11120 = -4*m. Suppose 11*p + 123 = m. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 - 7 - (-31 - 0)) - -9.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -3*m**2\/2 - m - 18. Let i(z) = -z**2 + z - 5. Let r be i(4). Let o = r - -19. Calculate p(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/14? (a) 6\/5 (b) -190 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u - 2542 = -2434 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 39 = 10. Suppose -t + 0*x - 5*x + 17 = 0, 5*t - x - c = 0. Put t, 5, 0 in descending order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by -13873.\nAnswer: 48\/13873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 27 - 7)*(-336661*z**2 + 584*z - 68*z + 336658*z**2) to the form r + y*z**2 + t*z and give y.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v - 59*v - 42 = 0. Solve -15 = -v*s + s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 36810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/8)\/((-185)\/(-30) + -6). Let i = -1\/2 + k. Which is the smallest value? (a) -1 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -3\/4, -469, 3, -4\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 52*h**2 - 87*h + 17403. Calculate k(56).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8943014 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/912)\/((-1)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52030?\nAnswer: 2, 5, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.1 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2740\/9 or -303?\nAnswer: -2740\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.75007 and -0.6?\nAnswer: 0.450042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/7? (a) -1\/3 (b) 2 (c) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = k - 4. Suppose x - 35 = 3*t - t, 0 = 5*x + k*t - 139. Suppose 7*c - 2*c = 1160. Calculate the greatest common factor of c and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -82 - (15 + -1) - -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 194240545 divided by 38848109\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9))\/((-72)\/(-324)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -918965 divided by 7991\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 51 and -1010985?\nAnswer: 1011036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 97\/464?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**4 + 2*c**3 + 2*c**2 - 2*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - i - 1. Let d be n(3). Suppose 2*k + 2*k = -d*m + 265, 3*m + 3*k - 162 = 0. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - o - 2. Calculate the least common multiple of k(5) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**5)\/k*k\/((k*k*k\/(k*((k\/(k*k**(1\/18)))\/k)\/k)*k)\/k)*((k\/k**(-39))\/k)\/(k\/k**3) assuming k is positive.\nAnswer: k**(773\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + sqrt(1088) + 0 + -3))**2.\nAnswer: -64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3388 by 11.\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v - 5. Let y be q(-7). Let i be (0 + -1)*9586\/y. Let k = -10093 - i. What is k rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 - 1627*z**2 + 9805*z + 11431.\nAnswer: -(z - 7)*(z + 1)*(z + 1633)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (5 - 0)\/(-5 + 168\/33).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 46*p + 13 + 17*p - p**3 + 13*p + 10*p. Let m be i(2). Solve -3*j = -m - 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12293961623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -120404961.85 rounded to the nearest one million?\nAnswer: -120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 0*i**3 - 3*i**3)*(-3 + 3 + 1)*(27 - 20 + 7).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p + 23*p + 20254 = 0. Is p a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1. Let j be q(-4). Suppose -t + 1 = -j. Suppose 9*i - 15 = t*i. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 1:51 AM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.047 or -29\/2?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c - 7. Let i be 4 - ((-1 - 1) + 1). Let u = 11 - i. Is q(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -121 - -195.5?\nAnswer: 74.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32 divided by -991420\nAnswer: 8\/247855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -542 greater than or equal to -480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**3 - 65*j**3 + 105*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3052339, -3052360, -3052385, -3052408, -3052423, -3052424, -3052405?\nAnswer: -3052360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 13.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**3 + 55570*h**2 + 111126*h - 166698 = 0.\nAnswer: -27783, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 41375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -1\/70*v**5 + 1\/7*v**3 + 0*v**4 + 0 - 2\/7*v**2 - 2*v. Suppose p(i) = 0. Calculate i.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:24 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 7*o. Let s(b) = -67 + 34 + 20*b + 33. Determine p(s(n)).\nAnswer: 140*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -283.912 rounded to the nearest 10?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4a (base 13) to base 11\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*q - 53 = 0, 2*f - 739*q = -744*q + 106. What is the remainder when 1058 is divided by f?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 4*o + 4. Let c be z(2). Let i be (1\/c - (-5)\/(-20)) + 8. Solve b = -b + i for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25715 and 297295?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.0710013831 - 9.071. Round g to seven dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65022473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51073563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*i + 21 = 3*i, -5*o = 4*i - 35. Let a = 1 + 1. Suppose -a*g - 1 = -w - 2, -w = 4*g - 17. Calculate the least common multiple of g and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*r - 33*r + 14*r - 30*r to v*r + x and give v.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 - -1101010010110?\nAnswer: 1101010011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 45*b + 171 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -1. Let m = c - -42. Suppose m = -4*n, 0*n + 4*n - 28 = 4*d. Let w(r) = -r**3 - 6*r**2 + 7*r + 9. Determine w(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}