 24 - 6. Let u be -155*(-3)/r - -1. Let x = u + -1345/48. Find the common denominator of x and 55/6.
48
Suppose -3*s - 9 = -0*s, -2*t - 1 = 3*s. Let m = 21 - 26. Calculate the lowest common multiple of t and ((-3)/m)/(4/60).
36
Let r(a) = 5*a - 23. Let u be r(11). Let d = u - 24. What is the least common multiple of 9 and d?
72
Let d be (1462838/12720)/(-13) - -3. Let w = d - -29/530. Calculate the common denominator of 17/15 and w.
120
Let h = 12 - -19. Let m = 16 - h. What is the smallest common multiple of 4 and 12/m*30/(-4)?
12
Let p be (-2)/(-4 - 129/(-33)). Suppose -p - 2 = -2*l. Calculate the smallest common multiple of l and 6.
12
Let q(u) = -16*u - 174. What is the common denominator of q(-13) and (-51)/20 - (-3)/(-12)?
5
Let t = 5 - 7. Let k = 4248/781 + -185/142. Calculate the common denominator of k and (-55)/30 + (t - 0).
66
Let s(v) = v**2 + 3*v. Let x = 13858 + -13841. What is the least common multiple of x and s(-5)?
170
Calculate the common denominator of 1049/(-312) + 4*(-6)/(-8) and -71/16.
624
Let a(v) = -v**2 - v - 2. Let f(x) = -2*x**2 - 4*x - 6. Let z(c) = -8*a(c) + 3*f(c). Suppose -4*d + 12 = -36. What is the least common multiple of d and z(5)?
84
Suppose -r + 176 = 5*y - 69, -2*y = 2*r - 474. Let d be 1/2 - (-79)/2. Calculate the common denominator of -57/16 and (12/d)/(6/r).
16
Let v = 7103/12 + -591. Let m = 1691 + -25363/15. What is the common denominator of v and m?
60
Suppose -4 = -5*q - g + 249, 2*g = -2*q + 106. What is the smallest common multiple of 10 and q?
50
Let d = 458939/548560 + 6/6857. Calculate the common denominator of -73/8 and d.
80
Suppose 0 = -3*d + 2 - 5, 4*k - 3*d = 963. Calculate the least common multiple of k and 72.
720
Let s be (-70)/(-15)*18/4. What is the common denominator of -55/8 and (-3)/11*((-469)/s - -6)?
88
Let p = -497657/160 - -3110. What is the common denominator of p and -89/10?
160
Let m = -23743571/20289178 + -8/111479. Let v = m - -1895/364. Find the common denominator of ((-737)/(-33))/((-16)/(-6)) and v.
56
Suppose -2*d = 2*k - 14, 0*k - 2*k + 6 = 0. Let z(l) = 3*l - 8. What is the lowest common multiple of z(d) and 44?
44
Suppose -2*i - 7 = -3*u, i + 3 = 2*u - 0. Let g = u + 7. What is the lowest common multiple of 38 and g?
114
Calculate the common denominator of (-1)/(8 - 4) + 123/(-20) and 77/4.
20
Let v(k) = 7*k + 3. Let a be v(9). Let f be 81*(3 - 206/a). Let t = f + -727/66. Calculate the common denominator of -49/16 and t.
48
Let b = -10830851/292 - -37092. Calculate the common denominator of b and 77/2.
292
Let w = -294 - -366. What is the lowest common multiple of w and 40?
360
Let a(y) = y**2 + 5*y - 5. Let r be a(-6). Find the common denominator of (53/(-32))/(r/2) and 33/14.
112
Let x = 10 - 6. Suppose 0 = -11*t + 10 + 23. Suppose 2*j = -x*u - t*j + 30, -4*j = -3*u + 38. Calculate the smallest common multiple of u and 4.
20
Suppose 4*m - 12 = -0, 3*h + 2*m = -138. Suppose -3*l - 91 = 5*g, -2*l - 43 = 3*g - 6*l. Calculate the common denominator of g and (h/45)/((-1)/(-5)).
3
Let m be ((-58548)/98)/((-1)/14). Let j be (1119/9)/(32/2154). Let s = j - m. Calculate the common denominator of -67/6 and s.
48
Suppose -93 = -w + z, 3*w - 5*z - 375 = -w. What is the smallest common multiple of w and 110?
990
Let c(x) = x**3 + 10*x**2 - 6*x - 131. Calculate the smallest common multiple of c(-8) and 75.
225
Let r be 8748/224 - (-27)/(-18). Let c be -10*1/((-7)/22). Let u = r - c. What is the common denominator of u and 99/10?
40
Suppose -86 = -4*r + 58. Calculate the least common multiple of 3 and r/(-4 - -8) - -1.
30
Calculate the common denominator of 46/153 and 3/((-3672)/2010) - 2/(-8).
153
Let m(k) = 1 + 1 + 6*k + 0. Let j be (60/144*-4)/(10/(-12)). Calculate the smallest common multiple of 12 and m(j).
84
Suppose 5*c = 3*i + 205, -7*c = -5*c - 4*i - 68. What is the smallest common multiple of c and 8?
88
Find the common denominator of 49/60 and 49/((-445900)/3720) + 4/14.
780
Let i be 49/21 + 2/(-6). Suppose -3*u + 32 = i. What is the least common multiple of 6 and u?
30
Suppose -2*t - 5*v = -0*t - 4, 4*t = 4*v + 36. Let o(z) = 5*z - 33. Calculate the smallest common multiple of 98 and o(t).
98
Suppose 487 = -3*s + 2*i + 202, -4*s = -i + 385. Let n = s - -280/3. What is the common denominator of 186/(-105) - (-2)/10 and n?
21
Let u = -911621/62 + 14703. Find the common denominator of 45/16 and u.
496
Let t = 4 + 10. Suppose -2 = 2*k - t. What is the smallest common multiple of k and 3?
6
Find the common denominator of 43/270 and 28/21 - 4*107/480.
1080
Let f = 20 - 31. Calculate the lowest common multiple of 4 and f/(-13) + 8/52.
4
Let o = -2033455/56 + 36310. Calculate the common denominator of o and 103/376.
2632
Let w(g) = -g + 23. Suppose j = 2*s - 39, s = -4*j - 4*s - 91. Let f = j + 45. What is the smallest common multiple of f and w(3)?
80
Let j(v) be the second derivative of v**5/20 + v**3/3 - 3*v**2/2 - 2*v. Let a = 160 + -154. Calculate the lowest common multiple of a and j(3).
30
Let h(w) = -w**3 + 12*w**2 + 14*w + 20. Let a = 79 - 66. Calculate the least common multiple of h(a) and 33.
33
Let l = 117 - 25. Calculate the common denominator of 115/l - 2/(-10) and -25/2.
20
Calculate the common denominator of -137/72 and (5 - 54/5)/(8/5).
72
Let u be (20/35)/(8/28). Suppose -x = -u*x + 10. Let f = 10 + 1. Calculate the least common multiple of x and f.
110
Suppose -5*p + 18 = 4*p. What is the common denominator of -89/6 and (106/84 - p)/(2/18)?
42
Suppose 6 = 3*z - 12. Let s = -2 + z. Calculate the lowest common multiple of s and ((-2)/(-5))/(5 - 343/70).
4
Let r = -2 - 19. Let h = r + 37. Calculate the least common multiple of h and 16.
16
What is the least common multiple of 4/22 + (-12992)/(-176) and 3?
222
Let z = 2 - -6. Let n(t) be the third derivative of t**4/6 - 14*t**3/3 - 12*t**2. What is the lowest common multiple of n(z) and 6?
12
Let d be ((-15)/6)/((-1)/5338). Let f be (260904/176)/((-2)/18). Let m = f + d. Find the common denominator of 35/16 and m.
176
Let y = -239 - -250. What is the least common multiple of y and 16?
176
Let d(z) = -3*z + 89. Calculate the least common multiple of d(5) and 52.
1924
Let w = 7 + -1. Suppose 5*x + f = 173, 11*x = 9*x - 2*f + 74. What is the smallest common multiple of w and x?
102
Let c(k) = -k**2 - 10*k + 11. Let v(p) = -p - 14. Let m be v(-4). What is the lowest common multiple of 10 and c(m)?
110
Let l = -224 - -226. Let m(c) = -5*c - 7. What is the least common multiple of m(-5) and l?
18
Let n = 2/6361 + 241664/171747. Calculate the common denominator of 41/33 and n.
297
Suppose 24 = -f + a + 82, -f - a = -66. Suppose 0 = 7*i - f - 1. Calculate the smallest common multiple of i and 9.
9
Let a = 27079/14 - 1936. What is the common denominator of a and -131/42?
42
Suppose -q - 29 = -c - 0*c, -2*c + 5*q + 58 = 0. Suppose 0 = 3*i - 49 - c. Let k = i - 19. Calculate the smallest common multiple of k and 3.
21
Let a = 28765/378 + -1558/21. Find the common denominator of a and -31/2.
54
Suppose -732 = -108*d - 14*d. Calculate the lowest common multiple of d and 15.
30
Let z = -8833/18 + 495. What is the common denominator of z and 54/11?
198
Let i be (-234)/(-120)*20586/10161. Let g be -3*-2*2/(-18064). Let w = g + i. Find the common denominator of 115/18 and w.
180
What is the common denominator of 37/594 and -17 + 15 + 252/(-40)?
2970
Let k = 277037/20 - 13849. Find the common denominator of 37/9 and k.
180
Suppose v + 42 = -2*v. What is the lowest common multiple of (-71)/(-5) + v/70 and 32?
224
Let d = 24 - 26. Let c(w) = w**2 - 5*w - 2. Let j(q) = 2*q - 2. Calculate the least common multiple of c(d) and j(2).
12
Let f = 22 - 23. Let z be (f + -11)/(13 + -12). Calculate the lowest common multiple of z/(-18) - (-3)/9 and 14.
14
Let t = -110557 - -23880271/216. Find the common denominator of t and 4/3.
216
Suppose -c + 7*p + 20 = 3*p, -2*c - p + 13 = 0. Calculate the smallest common multiple of c and 205.
1640
Let v(o) = -o**2 + 7*o + 8. Suppose 0 = 3*l - l - 8. Suppose -l*r + 13 = c - 2*r, 9 = 3*r. Calculate the lowest common multiple of v(c) and 10.
40
Suppose 0*n = 12*n - 288. What is the smallest common multiple of 54 and n?
216
Let q(d) = d**3 + 12*d**2 + 4*d + 15. Let l be q(-12). What is the comm