. Let r be 19486/(-7260) + b/(-2). Let j = 4/1815 + r. What is the common denominator of j and 63/8?
88
What is the common denominator of ((-6)/40)/((-18)/15) and 3*1 - (-295)/(-20)?
8
Suppose -2*w - 8 = 0, -11 = 3*z + 2*w + 3. Let p = z + 1. Calculate the common denominator of 83/6 and 74/(-4) + p/(-3).
6
Let n = 1 + 5. Suppose 2*d + 2 = f, -2*d + n*d + 5*f - 24 = 0. What is the lowest common multiple of (30/21)/(1/7) and d?
10
Let n(c) = -c**2 + 12*c + 2. Let b(d) = d**3 + 9*d**2 + 6*d - 6. Let t be b(-8). Calculate the lowest common multiple of n(t) and ((-6)/(-5))/((-6)/(-20)).
44
Suppose 10 = 6*p - p - 2*w, -4*w = -3*p - 8. Suppose -11 = v - 5*i, -p*v - 6*i + 2*i = -76. What is the least common multiple of 22 and v?
154
Find the common denominator of (1 - 7)*46/80 and -89/6.
60
Let q = -25 - -13. Let u = q - -14. Calculate the least common multiple of u and 10.
10
Find the common denominator of -73/30 and ((8/50)/(60/2650))/(-4).
30
Suppose 3*l = -6*l + 18. Calculate the least common multiple of l and 20.
20
Let o = 32/87 - 3832/957. What is the common denominator of 63/4 and o?
44
Suppose 4*s + 0*t = -t + 27, -2*s + 3*t = -17. Suppose -s*k = -5*k - 36. What is the least common multiple of k and 8?
72
Let b = 99 + -546. Let s = -5359/12 - b. What is the common denominator of 71/12 and s?
12
Suppose -3*c - 4*b = -19, 3*c - 8 = -5*b + 15. Find the common denominator of ((-58)/(-24))/c + -1 and -1 + (-183)/(-24) + -4.
24
Suppose 4*q - 2*a + 4 = 0, -3*a + 7 + 5 = 0. Calculate the smallest common multiple of q and 2.
2
Let z = 747037400 - 2519010133879/3372. Let r = -1/843 - z. Calculate the common denominator of r and (-2)/2 + 2/20.
20
Let q = 16587 + -232333/14. Find the common denominator of -13/2 and q.
14
Suppose 0 = 5*d - 2*t - 56, d + 3*t - 15 = 3. Let k = d - 2. What is the smallest common multiple of 2 and k?
10
Let b = -27 - -51. What is the least common multiple of b and 12?
24
Find the common denominator of 55/(-77) - 3/(-1) and -58/3.
21
Suppose -4*n + 0 = 2*s - 10, -4*s = 4. Suppose 0 = -n*d - 89 + 287. What is the lowest common multiple of 20 and (-4)/(-3)*d/4?
220
Let g be 1/2 + (-2)/(-4). Let o(k) = k. Let l(q) = 11*q**2 + 2*q. Let j(d) = g*l(d) - o(d). What is the lowest common multiple of 2 and j(1)?
12
Let l(v) be the third derivative of v**4/24 - v**3 + 8*v**2. Let s(n) = n**3 - n**2 - 4*n + 2. Let q be s(3). What is the lowest common multiple of 22 and l(q)?
22
Suppose -4*f - 50 = -2*y, 4*f + f = -y - 80. Let h(a) = 5*a**3 + a - 2. Calculate the least common multiple of h(1) and (12/f)/((-2)/5).
4
Let b = -473/180 + -113/20. Let y = 563/2 + -237. Find the common denominator of y and b.
18
Let z = 52389/10 + -5232. What is the common denominator of z and -53/40?
40
Let z(y) = -y**2 - 5*y - 2. Let b be z(-4). Suppose -5*g + 35 = 5*q, 0 = -q + b*g + 4 - 3. Calculate the lowest common multiple of q and 4.
20
Let w = -34 - -477/14. Calculate the common denominator of (-2 + 1)/(90/115) and w.
126
Suppose -4*h = -4 - 4. Let r(a) = -17*a. Let j be r(-5). Suppose -l = 5*n - j, 5*n + 2*l = -l + 75. What is the lowest common multiple of n and h?
18
What is the least common multiple of 1 and (-9)/18 - 26/(-4)?
6
Let q = 36 + -16. Find the common denominator of -109/6 and (-14)/q - 2/4.
30
Let n = 56 - 80. Calculate the least common multiple of 5 and (18/n)/(2/(-16)).
30
Suppose -3*a + 4*a + 11 = 0. Let q = a + 31. What is the lowest common multiple of q and 8?
40
Let t = -2704 + 10761/4. Let f be (4/6)/(8/48). Find the common denominator of t and 255/12*f/(-30).
12
Suppose 4*i + 16 = -0*a + 4*a, 0 = -3*a + i + 10. Suppose -2*d = y + 4*y - 1074, y = a*d + 208. What is the common denominator of y/(-2)*(-3)/(-18) and -35/6?
6
Let n(b) = -b - 7. Let d be n(-8). Find the common denominator of 69/4 and 5*3/(-24) - d.
8
Let z = 7/1055 + -469524/7385. Let p = 480393023/7301511 + 2/347691. Let y = z + p. What is the common denominator of 113/10 and y?
90
Let w = -7 + 4. What is the least common multiple of 60/(-16)*8/w and 2?
10
Let o(i) = i**2 - 6*i + 4. Let b be o(6). Suppose 0 = -b*a - 0*m + 2*m + 12, 0 = -5*a - 2*m - 3. Calculate the least common multiple of a and 7.
7
Let h = 6/55 - -483/110. Calculate the common denominator of h and -83/16.
16
Let x(i) = 27*i**2. Calculate the lowest common multiple of 7 and x(1).
189
Let r = -18280466 + 328778027/18. Let c = r + 15028. Calculate the common denominator of c and -67/6.
18
Calculate the common denominator of 4 + -1 + (-83)/14 and 43/6.
42
What is the lowest common multiple of 3 - 20/(-30)*3/(-2) and 12?
12
Let z = -7/4 - 0. Suppose 76 = 3*r + 3*b - 41, 3*b = -4*r + 161. What is the common denominator of z and (-2 + -4)*r/8?
4
Suppose 0 = 2*c + 2*c - 12. Suppose -c = -l, 2*f + 2*f + 3*l - 9 = 0. Calculate the smallest common multiple of -2*((-9)/6 + f) and 7.
21
Let c(b) = 527*b**3 - b**2 + b - 1. Let u be c(2). Let n = 50441/12 - u. What is the common denominator of n and -97/18?
36
Suppose -2*w - 1 = 5, -z = 3*w - 3. What is the least common multiple of 8 and z?
24
Suppose -g + 2 + 2 = 0, -i - g + 2 = 0. Let o = 12 + 4. What is the least common multiple of o and (-22)/(-4) + (-1)/i?
48
Let k = -42 - -45. What is the lowest common multiple of k and 3?
3
Let k be 74112/90 + (-2)/3. Let i = k - 812. Calculate the common denominator of 3/(-2)*110/6 and i.
10
Let j(u) = u**3 - 9*u**2 - u + 11. Let y be j(9). What is the smallest common multiple of 18 and 0/4 + y + 10?
36
Suppose 3*n = n. Suppose n = -4*u + 5*u + 18. Calculate the common denominator of (-69)/10 - 30/15 and u.
10
Suppose 5*h + 5*u = 7995, -4*h + 856 = 2*u - 5532. Let o = h + -15859/10. Calculate the common denominator of 11/19 and o.
190
Let g = 10 + -5. Suppose -4*k + 9*k = g*n - 45, -k = -4*n + 30. Let b = -1 - -4. Calculate the lowest common multiple of n and b.
21
Let d be 1482*1/(33/(-39)). Let s = d - -1756. Calculate the common denominator of s and 2/((-4)/27) - -2.
22
Let t = 719/11008 - 76/1161. Let q = t + -61343/6912. Calculate the common denominator of q and -77/10.
40
Find the common denominator of 85/14 and 3*(-35)/(-30) + (-4)/30.
210
Let k = -101259/20 + 5066. What is the common denominator of k and 77/34?
340
Suppose -k - 3*k + 16 = u, -2*k - 2*u = -2. Suppose k*r - 28 = r. What is the smallest common multiple of r and 2?
14
Let v(c) = 17*c - 1. Let x(w) = 3*w**3 + 0*w + 2 - 2*w**2 + 0 - w. What is the lowest common multiple of v(1) and x(2)?
16
Suppose 3*o + 259 = 4*y - 166, -327 = -3*y + 5*o. Suppose s + y = -3*s. Calculate the common denominator of (22/(-8))/((-6)/s) and 49/20.
60
Let h be -1*2 - (-23955)/17622. Let y be (-256)/(-267) - (3 - 2). Let q = y + h. What is the common denominator of q and -7/8?
88
Suppose -4*d - 381 = -29. Calculate the common denominator of -23/22 and 0 + 332/d - -2.
22
Let c = -874 + 235. Let f = c + 3799/6. Let j = 294 - 1533/5. Calculate the common denominator of j and f.
30
Let s = 3 + 1. Suppose -4*j - 2*x - 137 = x, s*x = 4*j + 116. Find the common denominator of -58/7 and j.
7
Let x(t) = -t**3 - t**2 + 2*t + 1. Calculate the least common multiple of x(-2) and 8.
8
Let b = 62 + -1667/26. Calculate the common denominator of -97/16 and b.
208
Let k be -899 + 2 + 0 + -1. Let g = -5333/6 - k. What is the common denominator of g and -27?
6
Suppose 9 = 5*a - 6. Suppose a*b - 3*f = 6, 5*b + 7*f - 2*f = 40. Suppose b*r - 3*r = 24. What is the lowest common multiple of 2 and r?
12
Let c = -125/376 + -2/47. Find the common denominator of c and -117/10.
40
What is the smallest common multiple of 50 and (4/24)/1 - (-119)/6?
100
Suppose y = -3*y + 4*z + 32, y = -3*z - 8. Calculate the lowest common multiple of y and 1.
4
Find the common denominator of 1 + (-2)/(-3)*(-90)/192 and 39/8.
16
Let b = 5045 + -50559/10. Let p(l) = -2*l**2 - 5*l - 3. Let n be p(-3). Calculate the common denominator of (1/n)/(1/41) and b.
30
Suppose 3*u - 2*u = 0. Suppose 0*z - 5*z - 40 = u. Find the common denominator of (-2)/(-20)*290/z and 65/2.
8
Let d = -10/1193 - -106237/7158. Let g be 0 + 2 - (-394)/8. Let n = 1237/28 - g. Find the common denominator of d and n.
42
Let v(t) = -t**2 + t. Let b be v(-1). Let j = 1612 - 17719/11. Find the common denominator of b - 1*99/(-10) and j.
110
Suppose t = -2*p 