-5*j + 5160 = 3*c, -3*c + 4*c = -4*j + 1713. Let v = c + f. What is the common denominator of -29/10 and v?
40
Let w(g) = 3 + 1 - g - 3. Suppose 5*n = n + 80. What is the lowest common multiple of w(-1) and n?
20
Let o(z) = z**2 + 4*z + 9. Let m = -2 - 4. Let h be o(m). Let i = h - 12. Calculate the least common multiple of 2 and i.
18
Suppose 0 = 4*q - 3*q - 36. What is the common denominator of 65/2 and (-18)/(-30)*(-237)/q?
20
Let z = -384 - -751/2. Calculate the common denominator of -49/11 and z.
22
Let t(h) = h + 12. Let s be t(12). Let p = -12 + s. What is the least common multiple of p and 10?
60
Let p = 19 - 203. Calculate the smallest common multiple of (-12)/18 - p/6 and 18.
90
Suppose p - 2*h = -11, -4*p + 2*h = -3*h + 32. What is the common denominator of -1/6 and 284/(-40)*1 + p?
30
Let h(r) = r - 13. What is the lowest common multiple of 9 and h(14)?
9
Suppose -12 - 6 = 2*c + 4*t, -t - 4 = 0. Let v = c + 2. Calculate the lowest common multiple of 4 and (-1)/v*(-1 - 9).
20
Suppose -h - 9 = 2*q, -5*h + 2*q - 72 = 3*q. Find the common denominator of -109/10 and (-3)/h + 441/20.
20
Let s = -7754 + 5179. Let c = s - -20643/8. Calculate the common denominator of c and -83/4.
8
Let n(y) = y**2 - y - 2. Let b be n(-2). Find the common denominator of (-65)/(-15)*(-9)/b and -17/10.
20
Let j = -8091995 - -96937973/12. Let k(b) = 2765*b - 6. Let q be k(5). Let h = q + j. What is the common denominator of -81/10 and h?
60
Let n = 3/62 + -20/93. Find the common denominator of -57/7 and n.
42
Let d = -1 - -9. What is the smallest common multiple of (8/(-3) + 0)*-3 and d?
8
Let z = 14 - 6. Suppose 5*x + 2*m = 0, 5 = 4*x + x + m. Calculate the smallest common multiple of x and z.
8
Let d(m) = -m**3 + 7*m**2 + m + 2. Calculate the smallest common multiple of 24 and d(7).
72
Suppose -8*n + 8 = -8. Calculate the lowest common multiple of n and 28.
28
Suppose -2*l + 0*l = -100. Suppose f + l = 6*f. Calculate the least common multiple of 0/4 + 7 + 1 and f.
40
Suppose -2 - 18 = -5*p. Suppose -p*n = 2*c + 2, 4*c + 2*n - 5 = c. Calculate the smallest common multiple of c and 10.
30
Let d = -49 - -197. Let g = d - 102. Suppose -4*s + g = 5*l, 3*s + 5 = 3*l + 26. What is the least common multiple of 4 and s?
36
Let c be (-1431494)/202320 - (-6)/30. Let w = -1/2529 - c. Calculate the common denominator of 109/22 and w.
88
Let o = -8 - -15. Let x = 23 - o. Calculate the least common multiple of x and 6.
48
Let x(t) = -t + 4. Let k(s) = -3*s + 12. Let l(v) = -3*k(v) + 8*x(v). Let n be l(-4). Find the common denominator of 77/18 and 6/n*327/45.
180
Let y = -1/46028 - 627127/207126. What is the common denominator of y and 85/12?
36
Find the common denominator of -2*(-3)/(-12) - -31 and (3/5)/((-6)/1485*-6).
4
Suppose 4*p = 0, 5*l + 5*p + 0 = 20. Calculate the smallest common multiple of 42 and l.
84
Let x = 151457/24 + -6307. What is the common denominator of x and -47/6?
24
Let z = -149531/22 - -6800. Calculate the common denominator of z and -51/2.
22
Calculate the common denominator of 23/5 and (-20)/3 + 0 - (1 - 3).
15
Suppose 4*s + 2*p - p = 32, 2*s - 5*p = 38. Suppose 3*o = -0*o + 9. Suppose -2*k - h + 19 = 0, o*k + k = -h + 33. What is the least common multiple of k and s?
63
Let b = 271 + -481/2. Calculate the common denominator of -55/7 and b.
14
Let v be 2/2 + 0 - -83. Calculate the common denominator of v/50*10/(-16) and (1*-1)/((-8)/83).
40
Let r = 3427/8 - 1689/4. Let g = 72 - 431/6. Calculate the common denominator of g and r.
24
Let z be (2 + 0)*6/4. Suppose -5*l = -z*d - 45, 0 = -4*l - 5*d - 4 + 3. Calculate the least common multiple of l and 18.
18
Let z(c) be the first derivative of c**2/2 + 9*c + 4. Calculate the lowest common multiple of z(7) and 12.
48
Let q(w) be the first derivative of w**3/3 + 3*w**2/2 + 3*w - 2. Let r be q(-2). Calculate the smallest common multiple of 9 and (4/6)/(r/12).
72
Let k = -3/23 + 79/253. Suppose 4*a - 1 = 3*a, a = r - 68. Suppose q - 4*q = -9, 5*q + r = 4*b. Calculate the common denominator of k and b.
11
Let m = -21 + 30. Let k = -2 + 3. What is the lowest common multiple of k and m?
9
Suppose 4*n - 3*f + 4 = 3*n, 5*n = 5*f. What is the smallest common multiple of 18 + (n - 4/(-2)) and 6?
66
Let w = -9/37 - 1640/407. Let l(a) = a**3 + 9*a**2 + 13*a + 8. Calculate the common denominator of l(-8) and w.
11
Let x(j) = j**3 - 8*j**2 + 8*j - 3. Let z be x(6). Suppose -2*d + 16 = 4*p, -3*d - 3*p = -46 + 13. What is the common denominator of 71/10 and (z/4)/(d/(-21))?
40
Let h(a) = -a**3 - 4*a**2 + 5*a + 3. Let p be h(-3). Let x = p + 33. What is the smallest common multiple of x and 16?
48
Let c(x) = 39*x + 2. Let m be c(-2). Let r = -181/2 - m. What is the common denominator of r and 3/(-9) + (-687)/18?
2
Let z = 27 + -18. What is the least common multiple of 18 and z?
18
Let c = -94454/25993 + -6/2363. What is the common denominator of c and 59/5?
55
Suppose 5*c - 66 = 4. Let a(z) = z**3 - 5*z**2 + 3*z + 1. Let k be a(3). Let v = k - -18. Calculate the least common multiple of v and c.
70
Let r(i) = 81*i**2 - 6*i - 6. Let l be r(-6). Let b = l - 52895/18. Find the common denominator of 65/8 and b.
72
Suppose -5*k - 54 = -i - 2*i, -5*i + 90 = 2*k. Calculate the smallest common multiple of 60 and i.
180
Suppose -19 = -3*t + 4*v, 5*t + 4*v + 7 = -4. Suppose -3*u - z + t = 0, 3*u = -0*u - 5*z - 7. What is the lowest common multiple of u and 1?
1
Let i = 2315/374 + -59/34. Calculate the common denominator of i and -1/6.
66
Let b be 0/(-1) - (0 - 60). Suppose -5*i - 15 = -b. Suppose -11 = -4*x + 1. What is the smallest common multiple of x and i?
9
Suppose -27*q + 18 = -24*q. What is the least common multiple of q and 22?
66
Suppose 4*f + 3*r - 170 + 551 = 0, -3*f - 293 = -5*r. Find the common denominator of f/10 + (-6)/(-6) and -15/4.
20
Let v be (-55975)/220 + (-1)/(-4). Let b = v + 254. What is the common denominator of 8/(-14)*9/4 and b?
77
Let q(l) = l**2 - 10*l + 2. Let s be q(8). Let w = s - -24. Calculate the least common multiple of w and 4.
20
Suppose 3*f + 3*s - 49 = -s, -4*f + 67 = 5*s. Let j = f - 10. Calculate the common denominator of 47/15 and j.
15
Let b = 1784 - 4429. Let p = b - -23762/9. Calculate the common denominator of p and 87/10.
90
Suppose 2*y - 20 = -2*y. Suppose 0 = 2*g - 3*g - y*w - 9958, -3*g - 29924 = 5*w. Let n = -159631/16 - g. What is the common denominator of n and 41/6?
48
Let u be ((-190)/3)/1*3. Find the common denominator of 55/4 and u/6*6/32.
16
Let x(d) = 7*d - 5. What is the least common multiple of 15 and x(2)?
45
Let y(d) = 83*d**2 + 6*d + 5. Calculate the least common multiple of 6 and y(-1).
246
Calculate the common denominator of -17/4 and (-15)/(-6)*(-291)/(-15).
4
Suppose -4*v - 4*k - 4 = 0, v - 2*k + 5 = -5. What is the least common multiple of 360/50 + 2/(-10) and (0 + (1 - 3))*v?
56
Let v = -24935008311371/2153424928116 - -1102329/6777659. Let f = -2/26477 + v. Calculate the common denominator of 113/20 and f.
60
Suppose d = -d + 24. Calculate the common denominator of 49/6 and 4/(-16) - 37/d.
6
Let o = -255/22 + 6229/638. Calculate the common denominator of o and -20.
29
Suppose -i = 3*i - 16. Suppose -5*y - i*r = -60, 3*y - 4*r + 24 = 5*y. Let z = -23 - -45. Calculate the smallest common multiple of y and z.
132
Calculate the least common multiple of 5 and 2*(-2)/6*(-12)/4.
10
Suppose 0 = -2*y + 5*z - 2 - 1, z - 5 = 0. Suppose -2*o - 6 = 0, 4*o + 62 = -2*p + 7*p. Calculate the smallest common multiple of p and y.
110
Let m(h) be the first derivative of -h**3/3 + 5*h**2 - 10*h - 6. What is the smallest common multiple of m(7) and 6?
66
Let n = -63444017/914100 - -71615/1108. Let q = n + -7/150. Calculate the common denominator of q and (-2)/(-6) - 26/(-21).
77
Let c = 0 + 3. Suppose -2 = -c*w + 4. Find the common denominator of (0 - (-4)/w)/18 and 35.
9
Let c be (474/8)/(3/(-79)). Let p = c - -1547. What is the common denominator of (6/28)/(2/(-40)) and p?
28
Let k(c) = -c + 8. What is the lowest common multiple of k(6) and 11?
22
Let i be 10/45*649599/(-8). Let t = 18034 + i. Let k = -1696 + 33979/20. What is the common denominator of k and t?
60
Let o(u) = u**3 - 18. Let x be o(0). Suppose 2*k + 58 = -m - m, 6 = -2*m. Let f = x - k. What is the lowest commo