s + 19209/10. Let v = 40053/14894 + -5/677. Find the common denominator of v and j.
110
Let i = -472839940729/2020 - -234079184. Let g = i + -75/202. Calculate the common denominator of g and 29/56.
280
Suppose 14 = 15*i - 16. Suppose i*g = -2*m + 72 + 22, 4*g = 5*m - 217. What is the lowest common multiple of m and 20?
180
Suppose 148386 = -6*u - u. Let n = -466441/22 - u. Calculate the common denominator of -145/66 and n.
66
Let k(g) = -67*g**2 - 4*g + 5. Let i be k(1). Calculate the least common multiple of 20 and 1/(-3) - 154/i.
20
Let t = 3 - 7. What is the common denominator of t/4 + 186/(-20) and 17/5?
10
Let c = -50653752397/18616 + 35372682/13. Let z = -7/358 + c. Find the common denominator of -111/22 and z.
88
Suppose 12 = 4*j + 2*l, l + 8 = 10. Calculate the common denominator of j + 15/115 + -4 and -69/4.
92
Let j(d) = d. What is the least common multiple of ((-4)/18)/((-9)/81) and j(2)?
2
Suppose 18*i = -22*i + 480. Calculate the smallest common multiple of 6 and i.
12
Calculate the lowest common multiple of 140 and -2*20/8 + -7 + 14.
140
Let z = 61 + -13. Let k = -179 - -191. Calculate the lowest common multiple of z and k.
48
Suppose 4*c + 0*c - 8 = 0. Suppose c*a - 3*r = 30, 6*r - 62 = -3*a + 2*r. What is the lowest common multiple of a and (-4 - -5)*(6 - (4 + -22))?
72
Calculate the common denominator of 44 and (-6)/(-552)*476 + -7.
23
Let c = 24 - 9. Let g = -9 + c. Suppose 2*k - 11 = -f, -5*k + f - 5 = -3*f. Calculate the smallest common multiple of k and g.
6
Find the common denominator of -27/88 and (318/48)/1 + -1.
88
Let i = -305 + 217. Let c be (-4)/233*11/i. Let g = c - -13029/8854. What is the common denominator of g and 48?
19
Let w(v) = -v**3 + 9*v**2 - 10*v + 16. Let z be w(8). Suppose z = -3*s - 12, s + 1 - 2 = -5*d. What is the lowest common multiple of d and 18?
18
Calculate the smallest common multiple of 30/(5 - 0) + 14 and 480.
480
Calculate the common denominator of -5 - ((-4)/22 + 1209/(-792)) and 55/51.
408
Suppose 4*i - 2*o + 3*o = 8, 3*o = 5*i - 10. Suppose 2*f = -2*p + i, -2*f = -p + 5 - 22. Let s = f - -8. What is the smallest common multiple of s and 12?
84
Let a = 1134203/72 - 15751. Find the common denominator of -107/136 and a.
1224
Let n = -109 + 193. Let w = -16 - -22. Calculate the smallest common multiple of w and n/4*12/14.
18
Let n = 17618 + -2184653/124. What is the common denominator of n and -93/16?
496
Let l be 8/(-6) - 308/(-42). Suppose 2*p + p = l. What is the least common multiple of p and 2?
2
Suppose -h + 2*h - 8 = 0. Suppose 99*c - 112 = 85*c. What is the smallest common multiple of c and h?
8
Let l = 45189/70 + -4458/7. Find the common denominator of -67/340 and l.
340
Let d be 6572/10*6/4. Let f = -979 + d. Let l = 33/4 + -419/44. What is the common denominator of l and f?
55
Let c be (335/15)/((-1)/21). Let x(l) = l**2 + 12*l + 7. Calculate the lowest common multiple of c/(-35) + 3/5 and x(-12).
14
Suppose 3*t - 15 = u, 5*u + 4 = 4*t - 16. Suppose u = 21*p - 14*p - 196. Calculate the smallest common multiple of 22 and p.
308
Let p(m) = 148*m + 16. Let x be p(3). Suppose -4*d - 6*d = -x. Find the common denominator of d and 77/4.
4
Let w = 170 - 166. What is the lowest common multiple of 29 and w?
116
Let h = 97403/14 + -6953. What is the common denominator of 3/76 and h?
532
Let k = 1882/15 - 83003/660. Find the common denominator of 2 - 1 - 53/44 and k.
44
Find the common denominator of 380/(-672) + 2*(-4)/(-64) and -19/5.
420
Suppose i - 34 = -5*r, 2*r = 4*i - 9 - 39. Let a = -594 + 2401/4. Find the common denominator of a and (42/(-8))/((-6)/i).
4
Let w = -10114303/88540 - -10844/95. Find the common denominator of w and -105/22.
10252
Suppose 0 = -5*i + 6*i. Suppose v = -i*v. Suppose v = 5*d + 5*k - 95, -d + 13 = -4*k - 1. What is the least common multiple of d and 14?
126
Let l = 26/53 - -3853/1113. Calculate the common denominator of -59/14 and l.
42
Let j be 15936/30 - 1/5. What is the common denominator of 57/16 and (11/(-66))/(48/j)?
32
Let q = 9069/4 - 2249. Let v = -491/10 - -199/4. Calculate the common denominator of q and v.
20
What is the common denominator of (-1 + 2)*6/18*-34 and -49/244?
732
Suppose 5*d + a = -4*a + 2105, 3*a + 1677 = 4*d. What is the least common multiple of 105 and d?
420
Suppose 9*u - 7*u = -2. Find the common denominator of 47/16 and (u/5)/((-9)/(6210/(-84))).
112
Let i be 0 - 4*(-16234)/(-396). Let n = i - -1448/9. Let t = 5559/7 + -792. Find the common denominator of t and n.
77
Let g be 6/(-15) - 26907/10. Let q = 3615 - 6311. Let j = q - g. Find the common denominator of -26/11 and j.
110
Let h = 62 - 62. Suppose j = 2*p + 30, h = 3*j - 5*p - 135 + 50. What is the smallest common multiple of 8 and j?
40
Suppose 30 = 2*a + 3*a. Let y = 15881/126 - 871/7. Find the common denominator of (230/27)/((-8)/a) and y.
18
Let y(z) = -8*z**2 + 37*z + 24. Calculate the lowest common multiple of 24 and y(5).
72
Let n = -1 - 0. Find the common denominator of -109/14 and 1475/60 - n/6.
28
Let d = -92516 + 18688271/202. Find the common denominator of -2*(-16)/(-112)*707/40 and d.
2020
Let o(h) = h**3 - 16*h**2 + 18*h - 36. Suppose -5*c + 3*u + 66 = 0, 0*u - 3*u + 69 = 4*c. What is the smallest common multiple of 6 and o(c)?
18
Let s = -116 - -109. Find the common denominator of -1/44 and 230/140*s/(-6).
132
Let f = -85/28 + 1741/140. What is the common denominator of f and 2 - 111*(-2)/18?
15
Suppose 2*k - 4 = -2*k. Let v be ((-20)/8)/(k/2). Calculate the common denominator of 15/(-10) - (-1)/v and -63/20.
20
What is the lowest common multiple of 14 and (94/8 - (-168)/(-28))*48?
1932
Let u(y) = 56*y - 472. What is the least common multiple of 12 and u(19)?
1776
Let d(y) = -19*y + 13. Let x be d(7). Find the common denominator of 1/5 - 2706/x and ((-1)/10)/((-8)/(-348)).
20
Let s = -28 - -137/2. What is the common denominator of s and 161/78?
78
Let n = 965/9 - 20321/198. Find the common denominator of ((-3)/18)/((-14)/6) and n.
154
Let b(x) = x**3 + 6*x**2 + 2. Let k be b(-6). Let p(m) = 0*m**2 - 2*m - 5*m + 2*m + k*m**2 - 4. What is the smallest common multiple of 3 and p(4)?
24
Let j(d) = -14*d + 2. Let t be j(1). What is the common denominator of (-745)/(-48)*t/(-60) and 55/2?
48
What is the least common multiple of (-2 - -736) + 4/(-1) + 4 and 10?
3670
Let g(z) = z**2 - 11*z - 37. Suppose 9 = 5*a - 1, a = -5*u + 52. Calculate the lowest common multiple of g(14) and u.
10
Let a(y) = -2*y - 9. Let o be a(-4). Let w(k) = -5*k**3 + 3*k**2. What is the least common multiple of 31 and w(o)?
248
Suppose 22 = 5*c - 8. Let f(z) = z**3 - 5*z**2 - 3*z - 12. Calculate the smallest common multiple of 8 and f(c).
24
Calculate the common denominator of 55/4 and (-1*(-16)/3)/((-568)/(-12)).
284
Let k = -7 + 29. Suppose 0 = 2*h + 3*h - 80. What is the smallest common multiple of k and h?
176
Let i be 114/(-19) + 2 + -2. Let r(a) = 43*a - 3. Let z be r(-3). Calculate the common denominator of 51/8 and (i/(-8))/(z/(-128)).
88
Let j(x) = 14*x**2 + 16*x - 6. What is the lowest common multiple of 84 and j(-2)?
252
Suppose 0 = 103*a - 100*a - 6. Find the common denominator of (3/a)/1*(-2507)/1794 and 34/9.
468
Suppose -q - 26 = -f, -139*f + 3*q = -143*f + 111. Calculate the lowest common multiple of 9 and f.
27
Let q(n) = n**3 - 8*n**2 + 11*n + 2. Let r be q(6). What is the lowest common multiple of 18 and ((-66)/(-2))/((-6)/r)?
198
Let i = 2/501 + 3397/27555. What is the common denominator of -61/65 and i?
715
Let a = -3995/8 + 501. What is the common denominator of 43/64 and a?
64
Let d = -16 - -16. Suppose d = -w - 5*h - 49, 5*w - 2*h + 79 = -112. What is the common denominator of 48 and w/(-2)*(-32)/132?
11
Let r = 59 + -29. What is the smallest common multiple of 30 and r?
30
Let o = -28502/9 - -3154. Let i = 631/45 + o. Calculate the common denominator of -29/9 and i.
45
Let u be (-9)/(-27) - 35/(-3). What is the common denominator of -47/2 and (-79)/u - (-32)/8?
12
Let h = 107 - 89. Calculate the lowest common multiple of 6 and h.
18
Let h(q) = q**3 + 10*q**2 - 4*q - 13. What is the lowest common multiple of 26 and h(-9)?
104
Let z = -89761/22 - -4082. Let g = -422631/26 - -16251. What is the common denominator of g and z?
286
Let j(r) = 4*r**3 + 7*r**2 - 2. Le