and 89/4.
44
Let t(d) = 2*d**3 - 4*d**2 - 7*d - 1. Let u be t(5). Let h be (-4)/(-14) - (-7730)/(-56). Let q = u + h. Calculate the common denominator of q and 69/8.
8
Suppose 4*m - 48 = 7*m. Calculate the common denominator of -43/11 and (22/m)/((-15)/(-12)).
110
Suppose -2*q = 2, 2 = -3*w - 5*q - 0. Let n(f) be the first derivative of 2*f**3/3 + 5*f**2/2 + 2*f - 1. Calculate the lowest common multiple of n(-3) and w.
5
Let z = -441/568 + -7/71. Find the common denominator of z and -51/4.
8
Let m = -5 + 3. Let c be 32 + (1 + m)*-1. Calculate the common denominator of 87/2 and ((-9)/c)/(1/(-2)).
22
Let t = 31554378772467127003/463257 - 68114197459915. Let l = 8/51473 - t. Let o = l + -476. Find the common denominator of o and 101/2.
18
Let s = -1 - -3. Suppose 14 = s*g - 2*o, -17 = -3*g + 2*o - 1. Suppose g*i + v - 25 = 8, 4 = 4*v. Calculate the smallest common multiple of 4 and i.
16
Find the common denominator of 53/27 and (-1 + 3)*1 + 2212/840.
270
Let a = 5615 + -50467/9. Let k be (-14392)/(-22880) + (-2)/8. Let u = k + -1/65. Find the common denominator of u and a.
99
What is the common denominator of 37/162 and ((-108)/16)/((-18)/21) - 3?
648
Let s be (-5)/(-10)*(3 + 1). Suppose -c = -2*c + s. What is the least common multiple of 8 and c?
8
Suppose 137 = -3*z + 191. Let u be (1 - 3)*9/(-2). Calculate the least common multiple of 2*1/2 + u and z.
90
Let i(c) = -c**3 - 6*c**2 + 5. What is the lowest common multiple of i(-6) and 11?
55
Let a = -3 + 14. Suppose 26 = 2*f - 5*s - a, 0 = -f - 4*s + 12. Let x = -5 + 11. What is the smallest common multiple of x and f?
48
Suppose 0 = 2*k - 5*k - 5*m + 35, -2*k + 4*m + 16 = 0. What is the least common multiple of k and 2?
10
Suppose -4*v = -8*v + 12. Calculate the least common multiple of 10 and v.
30
Let d be -7 - (-3 + 0) - -20. Suppose -2*x - d + 44 = 0. What is the lowest common multiple of x and 36?
252
Suppose -5*l + 7 = -13. Let v = 1 + 0. What is the lowest common multiple of l and v?
4
Calculate the least common multiple of 4 and (-360)/(-26) + 24/156.
28
Let d = 91 + -86. What is the smallest common multiple of d and 6?
30
Let r = 8 + -4. Let k be 671/1350 + (-2)/r. Let w = k + -16871/1350. What is the common denominator of w and -52/11?
22
Let l(m) = -3*m**3 - 3*m**2 - 2*m - 2. Calculate the lowest common multiple of l(-2) and 18.
126
Let h = 1083 - 4277/4. Let y = 31309/7568 - -291/344. Let v = y + -19/176. What is the common denominator of v and h?
8
Suppose z - 5*q = 6, 3*z - 11 = 5*q + 17. Let n(o) = o**3 - 4*o**2 + 3. Calculate the lowest common multiple of n(4) and z.
33
Let x(k) = k**2 + 11*k + 14. Let u be x(-10). Suppose u*p - 4*d - 60 = 0, -p + 4*d - 7 = -31. Calculate the least common multiple of p and 18.
36
Let t(q) = 2*q + 20. What is the least common multiple of t(-4) and 22?
132
Let d = 2 - -1. What is the least common multiple of (2/(-3))/((-11)/165) and d?
30
Calculate the common denominator of -67/12 and 41/42 - ((-2)/(-6) + 0).
84
Let g = 431724 + -2150459/5. Let t = g - 1638. Find the common denominator of -12/5 and t.
5
Let b(h) = -26*h**3 + 5*h**2 + 8*h - 7. Let p be b(5). Let s = p + 24697/8. What is the common denominator of s and 35/2?
8
Suppose -3*s = -2*s + 15. Let i = s - -25. Suppose -y + 3 = -4. Calculate the smallest common multiple of i and y.
70
Let n = 796/175 - 6/1925. Let m = -14/13 - 179/39. Calculate the common denominator of n and m.
33
Let l = 30069492284 + -1286012045929957/42768. Let v = l - -1/2673. Let y = 3560 + -28395/8. What is the common denominator of v and y?
16
Suppose 5*z - 116 - 284 = 0. Calculate the common denominator of 81/10 and 14/(-3)*165/z.
40
Suppose 0 = 3*t - 3, c = -c - 3*t + 39. What is the smallest common multiple of c and 9?
18
What is the common denominator of 25/4 and 0 + -4 - 60/140?
28
Let i(v) = -3*v**2 + v - 8. Let n(a) = -16*a**2 + 6*a - 41. Let c(u) = -11*i(u) + 2*n(u). Suppose 40 = 3*j + 4. What is the least common multiple of j and c(0)?
12
Let k = -9 - -6. What is the smallest common multiple of 8 and (11/3)/((-1)/k)?
88
Let i be (3/174)/((-5)/(-3970)). Let y = -9593/580 + i. Find the common denominator of -33/10 and y.
20
Let q be ((-8)/(-280))/((-186)/14845). Let c = q + -1/186. What is the common denominator of c and (-47)/18 + (-2)/(-4)?
63
Let d = 20 + -6. Let m(w) = 8*w**2 + 3*w. Suppose 5*h = 20, 4*h = 3*r + 34 - 12. What is the smallest common multiple of m(r) and d?
182
Let j(a) = a**3 + 6*a**2 + 2*a - 1. Let p(t) be the first derivative of t**2 - 5*t - 2. What is the lowest common multiple of j(-2) and p(6)?
77
Suppose -5*l - 3*r = 153, l + 38 = 2*r + 10. Calculate the lowest common multiple of 4 and 3*5/(l/(-8)).
4
Let b = -672 - -1315/2. Calculate the common denominator of b and (170/18)/(4/(-6)).
6
Calculate the smallest common multiple of 12 and (-3)/(-18)*21*2.
84
Let z be 2/(-2)*(-5 + 1). Let k = z - -7. Let g(j) = 4*j - 3. What is the smallest common multiple of k and g(3)?
99
Let b = 6035/7 + -12143/14. Calculate the common denominator of -121/18 and b.
126
Let r be (-2)/(-4) + 11/2. Find the common denominator of -20*(2 + (-17)/r) and -93/10.
30
Let h = 14/15 + -103/30. Calculate the common denominator of h and -69/2.
2
Find the common denominator of 1304/144 + (-3 - 0) and -61/10.
90
Suppose -3*h + 4 = -2. Suppose h*d + f - 358 = 162, -2*f - 1291 = -5*d. Calculate the common denominator of -25/8 and 8/36 + d/90.
40
Let y be (-2)/2 + 1164/1173. Let l = y + 16085/7038. Calculate the common denominator of l and 77/4.
36
Let t(j) = -j**2 + 5*j - 2. Suppose 3*q = 3*i - 7*i + 7, 2*i + q - 5 = 0. Calculate the lowest common multiple of t(i) and 14.
14
Let m(n) = -2*n + 10. Let x be m(7). What is the least common multiple of 5 and 1/((x + 6)/14)?
35
Let h(j) = j**2 - 4*j - 6. Let u be h(5). Let q be (u - 2)/((-3)/(-2)). Let a = 0 - q. What is the smallest common multiple of a and 22?
22
Find the common denominator of (-60)/(-16)*9/15 and -91/16.
16
What is the least common multiple of 34 and 1*4/(-16) + (-34)/(-8)?
68
Let r(m) = -m**2 + 12*m - 12. Let n be r(12). Calculate the lowest common multiple of (6/5)/(n/(-80)) and ((-1)/(-3))/(2/12).
8
Calculate the common denominator of 980/584 + 2 - (-4)/(-1) and 41/18.
1314
Suppose u = -3*m - 3*u + 86, u + 39 = 2*m. Let i = 3 + -1. What is the lowest common multiple of 10/(2/i) + -2 and m?
88
Suppose 5*q + 29 = 2*s, 2*s + 3*s - 5 = -q. Suppose -b - w = -3*w - 30, 0 = s*b - 2*w - 50. What is the least common multiple of b and 6?
60
Let d be (3566/8)/(1/4). Suppose d = 5*c + 98. Let w = -697/2 + c. Calculate the common denominator of -55/12 and w.
12
Let o = -17 + 41. Calculate the smallest common multiple of 9 and o.
72
What is the smallest common multiple of ((-12)/10)/(6/(-100)) and 24?
120
Suppose -4*z - 5*s + 2 = 0, z - 3*s - 18 = -3*z. Let o(v) = z*v**2 + v**3 + v**2 - 3*v**2 - 2*v + 3. What is the least common multiple of 1 and o(2)?
11
Suppose -r + 11 = 2. Suppose 0 = -y + 3*i, -7*i = -4*y - 2*i. Suppose y*s = 4*s - 12. What is the least common multiple of s and r?
9
Suppose k = -4*x + 27, -2*x + 26 = 3*k + 5. Calculate the smallest common multiple of x and 11.
66
Let f = 1358 - 14951/11. What is the common denominator of f and -10/3?
33
Let t = 635/2 - 297. Calculate the common denominator of t and -23/16.
16
Let i(s) = 4*s - 8. Let t(p) = 8*p + 1. What is the smallest common multiple of t(1) and i(4)?
72
Suppose h = 2*t + 2*t, 3*t - 4*h = -13. What is the lowest common multiple of 9 and t?
9
Let t = -3 + 8. Suppose 0 = -q - 0*g + 2*g + 11, 3*q + t*g = 11. What is the smallest common multiple of 0 + 1 + q + -2 and 6?
6
Find the common denominator of 95/36 and ((-284)/(-10))/(-3 + (-138)/(-30)).
36
Let o = 51537/47518 - 20/1033. Calculate the common denominator of 107/6 and o.
138
Let x(s) = -s**3 - 7*s**2 + 8*s. Let w be x(-6). What is the common denominator of (3/(-8))/(15/(-2)) and (1/(-6))/(32/w)?
80
Suppose 16 = 5*v - 9. What is the smallest common multiple of 3 and v?
15
Suppose -3*g = -2*w + 10, 0 = -2*g - 2*g + 4*w - 20. Let m be (3 + g)/((-6)/52). What is the common denominator of 113/10 and (m/20)/((-1)/7)?
10
Let r be (0 + 17)*(-2)/26. Let d = 586/39 - r. Find the common denominator of d and 38.
3
Let b be 93850/46940 - (-1 + 3). Le