 2*x - 8. Let w be u(6). Suppose 5*o - 2185 = -4*f, f + w = 2*f - o. Let a = f - 1696/3. What is the common denominator of a and 61/3?
3
Let f = 68/165 - -3791/330. Find the common denominator of -107/100 and f.
100
Let o = 52 - 30. Let j be (-6)/(-2)*(-1 - -2). What is the common denominator of -71/2 and j/(-3) - 3/o?
22
Let b = 14 + 0. Let c = b - 5. What is the least common multiple of c and 9?
9
Let h = -5 - -6. Let x(i) = 13*i**2 + 2*i - 1. What is the smallest common multiple of 12 and x(h)?
84
Suppose 624 = -c - 3*c. Let b = c - -93. Calculate the common denominator of (34/30)/((-6)/b) and -17.
10
Suppose -7 = -5*t - 3*g - 1, 0 = -g + 2. Let k = -3 + 15. What is the smallest common multiple of k and -2 - (t + -18)/3?
12
Let f(m) = m**2 + 11*m + 1. Let r be (1 - 2)/(12/132). What is the least common multiple of 18 and f(r)?
18
Calculate the common denominator of 0 + 78/(-8) - 2 and (-888)/384 - 5/4.
16
Suppose -18 = 16*d - 18*d. Calculate the least common multiple of 10 and d.
90
Suppose -4*s + 2*s - 14124 = 0. Let c = 112893/16 + s. Calculate the common denominator of 101/22 and c.
176
Let c(q) = -q**3 - 5*q**2 - 5*q - 1. Let f be c(-4). Suppose -2*a + f*a - 2 = 0. What is the lowest common multiple of a and 6?
6
Let b = -22975599751592105447713/18502 + 1241790050736744752. Let x = 12585712579 + b. Let d = 21/841 - x. What is the common denominator of 103/20 and d?
220
Let c = -46858/5 - -314891/35. Let j = -378 - c. Calculate the common denominator of 10/9 and j.
63
What is the common denominator of 41/16 and (-29)/(-2)*-1*(-2)/(-8)?
16
Let a(f) = f**2 - 4*f + 2. Let n be a(4). Let k be 1 - (1851 - -1*n). Let v = k + 40683/22. Find the common denominator of 19/20 and v.
220
Suppose 0 = -3*i - i + 3*g - 70, 0 = 5*i - 5*g + 90. What is the common denominator of 6/22 - 0/(-2) and 0 + (i/5)/(-4)?
55
Suppose -2*h + o = -44, -5*h + 4*o = 8*o - 84. Calculate the least common multiple of h and 12.
60
Let z = 734921/123 + -5975. Let j = z - 1087/615. Calculate the common denominator of j and -47/10.
10
Suppose 2*a - 3*a = -20. Let s(g) = g. Let l = 11 + -9. Calculate the smallest common multiple of s(l) and a.
20
Let h = -3 - -15. Calculate the lowest common multiple of h and 21.
84
Suppose -3*b + 2 = -2*b. Suppose -22 = -b*n + 10. Calculate the least common multiple of 8 and n.
16
Let w = -98273/60 + 1638. Find the common denominator of w and -133/6.
60
Let v = 1219 - 6072/5. What is the common denominator of 17/24 and v?
120
Suppose 5*g = 3*c + 14, 5*c - c - 2*g = 0. Calculate the smallest common multiple of 16 and c.
16
Let w(y) = 2*y**2 - 7*y + 3. Suppose -p - 4*t = -9, 6*t - 27 = -5*p + 4*t. Calculate the least common multiple of w(p) and 14.
126
Let v be (-2)/(-3) - 122691/11385. Let n be ((-7)/(-35))/((-1012)/(-50)). Let w = v + n. Calculate the common denominator of w and 38/5.
10
Suppose -72 - 27 = 3*m. What is the common denominator of m/20 + 1 - 0 and -61/10?
20
Let i = 22 + -12. What is the lowest common multiple of 5 and i?
10
Let u(c) = -c + 5. Suppose 8 = -5*p - 22. Let n be u(p). Suppose 5*t = -n + 31. Calculate the least common multiple of t and 1.
4
Let u = 29 + -46. Let l = -8 - u. Suppose -4*j + 19 = -17. What is the lowest common multiple of j and l?
9
Let t(f) = -6*f + 23. Let o be (-2)/7 + 99/(-21). Let h(x) = -x + 1. Let s(r) = o*h(r) + t(r). What is the smallest common multiple of s(9) and 4?
36
Let q = 1051/4 + -253. Find the common denominator of (-1)/((-40)/(-636)*(-48)/(-10)) and q.
16
Let m(j) = 174*j**3 + j**2 + 2*j + 1. Suppose a + 1 = -0*a. Let n be m(a). Find the common denominator of (20/105)/(4/n) and -16/7.
7
Let u be ((-2)/(-3))/(3/(-9)). Calculate the common denominator of (-462)/12 + -1 + 1 and (-100)/88*(u - 1).
22
What is the smallest common multiple of 12 and (-1)/((-692)/(-232) - 3)?
348
Let f = 1 - 2. Calculate the common denominator of (70/18)/f + -1 and -2*(-330)/(-168)*2 - -3.
63
Let d be (4/6)/((-1)/12). Let y(l) = -l**3 - 7*l**2 + 9*l - 10. Let a be y(d). Calculate the common denominator of (-68)/a*3/6 and -31/7.
63
Suppose 0 = 9*v - 13*v - 8. What is the least common multiple of -3*(v + (-4)/(-6)) and 2?
4
Let r = 1026497153/20393030 + -47/119959. Let v = 40/113 - 1818/9605. Let f = r + v. What is the common denominator of f and 34/3?
6
Let t be (-11)/(-242)*924370/2. Let z = t - 21013. What is the common denominator of -145/6 and z?
66
What is the common denominator of 5*(-6)/(-28) - -1 and 137/12?
84
Suppose -5*y - 20 = 0, 0 = 5*r + 5*y - 0 + 5. Suppose r*m + 0*c - 2*c + 6 = 0, -6 = 3*m + 3*c. What is the common denominator of (-1)/(-2)*-25 - m and 39?
2
Let w = -5/193 + -1301/1930. Find the common denominator of w and 30/(-280)*-7*(-97)/(-9).
60
Let q(r) = -2*r + 1. Let p be q(-2). Suppose p*u - 15 = 10, -h = -3*u + 12. Find the common denominator of -3*h/132*30 and -79/12.
132
Suppose 9 + 5 = 2*r - 3*o, 5*o = 5*r - 40. Calculate the lowest common multiple of ((-1)/(-2))/((-1)/(-2)) and r.
10
Let m(q) = 5*q - 3. Calculate the lowest common multiple of 9 and m(6).
27
Let z be 0 + (-7)/(-1) + -4. Suppose 3*q = -2*s + 28, -s + 5*s + 16 = z*q. What is the least common multiple of 10 and q?
40
Let u = -113 + 22. Let r = 7 + -9. Find the common denominator of 8 and u*(-2)/12 - r.
6
Let g = 180/17 + -1727/306. Calculate the common denominator of (-6)/21 + (-689)/(-84) and g.
36
Suppose 0 = 4*k + 4*l - 80, -153 = -5*k + l - 41. Suppose d = -d + 24. Calculate the least common multiple of d and k.
132
Let c = 3459/7 + -493. Calculate the common denominator of 97/2 and c.
14
Let p be 4/(-214)*(-12)/(-28). Let o = -29151/7490 + p. What is the common denominator of (30/22)/(3 - 2) and o?
110
Suppose -5*m - 3 = -43. What is the smallest common multiple of 8 and m?
8
Let o = -975 + 4859/5. What is the common denominator of 9/10 and o?
10
Let w(q) = -q**3 - 4*q**2 + q + 2. Let a be w(-4). Let j be a/4 + 21/(-6). Find the common denominator of -101/18 and -1*(-1)/j*6.
18
Let f = 181/102 + 1/17. Suppose -6 = -2*y + 6. Calculate the common denominator of f and y.
6
Suppose 6*k - 16 = 8. Suppose 5*f - 114 = 4*q, -2*q + 7 = -f + 31. Calculate the least common multiple of f and k.
44
What is the common denominator of (-398)/72 - 3/12 and ((-2)/18)/(-1)*-71?
9
Let q = 121 + -2645/22. Calculate the common denominator of q and 53/18.
198
Suppose 0 = -0*t + 5*t - 35550. Let a = t - 142113/20. What is the common denominator of -11/16 and a?
80
Let f = -1048 + 3179/3. Find the common denominator of 13/90 and f.
90
Suppose -r + 1 + 1 = 0. Suppose -4*d - r = 6. What is the common denominator of -9/8 and 85/(-2) + 2 + d?
8
Suppose -5*j - 4*g - 31 = 0, j + 2 = 5*g + 19. Let h(i) = -i**3 - 2*i**2 + 1. Calculate the least common multiple of j - (-1 + (-18)/3) and h(-3).
20
Suppose 30*v = 27*v + 30. What is the smallest common multiple of v and 5?
10
Let f be (1 + 1)*(-1)/2. What is the common denominator of -10/7 and ((-2)/40)/(f/2)?
70
Let i be 8*(25/(-10))/(-5). Let v = -8 + 3. Calculate the common denominator of 11/5 and (7/v)/(i/5).
20
Let m(q) = q**3 - 9*q**2 + 7*q + 6. Let j be m(8). Calculate the lowest common multiple of j/(-3) - (-190)/30 and 11.
77
Suppose 2*f = 8 + 4. What is the smallest common multiple of f and 15?
30
Suppose 16 + 23 = y. Suppose -y + 139 = 5*v. Let p = v + -11. Calculate the least common multiple of p and 7.
63
Let w = 1373 - 8219/6. What is the common denominator of w and 75/32?
96
Let f be 643/1110*(-4)/3. Let z = f - 1/185. Calculate the common denominator of (-8)/((-3)/(-6)*11) and z.
99
Let h = -917023/3 - -77940457/255. Let t = h + -3/170. Calculate the common denominator of -5/8 and t.
8
Calculate the common denominator of 23/26 and (-2 - (-321)/42)/(-1).
182
Let m = -1236 - -2411/2. What is the common denominator of m and -14?
2
Let v(c) = -c**3 - 2*c**2 - c + 4. Calculate the lowest common multiple of 30 and v(-3).
240
Let i = 76 + -54. Suppose g - 11 = 7. Calculate the least common multiple of g and i.
198
Suppose 0*a = 4*r + 2*a - 48, 2*r = -5*a + 40. What is the smallest common multiple of 32 and r?
160
Calculate the least common multiple of 1 and 4/6 + -2 - 726/(-18).
39
Let p be (-1)/1 - -1 - -41. Let i = -19 + p. What is the smallest common multiple of i and 8?
88
Calculate 