 + 4*s + 4. Suppose -2*z + 4*z - 17 = d, 3*z = 2*d + 26. Let h = 2 + z. Calculate the lowest common multiple of h and c(-4).
20
Let f(r) = r**3 - r**2 - 5*r - 4. Let p be f(-1). Suppose 5*j = 2 + 28. Let s = j - p. Calculate the lowest common multiple of s and 1.
7
Let b = 332/1449 + -6/23. What is the common denominator of b and -44/3?
63
Let y(i) = -2*i**3 - 20*i**2 - 12*i - 6. Let z be y(-9). Suppose -5*c + 20 + 10 = 0. Find the common denominator of -13/3 and (z/(-16))/(c/(-32)).
3
Calculate the common denominator of -149/30 and -4*(2 + -1) + (-687)/(-189).
630
Let i = -2527/2 + 1287. Let f = -47081/12 - -3920. Calculate the common denominator of i and f.
12
Let j(k) = -9*k**3 - k**2 + 5*k + 4. Let n be j(-2). Suppose -2*f - 61 = -3*s - 18, 4*s - n = -2*f. What is the lowest common multiple of s and 3?
15
Let c be ((-315)/27)/(2/36). Find the common denominator of 174/(-32)*4/6 and 213/c + (-8)/28.
40
Let t(q) = -3*q**3 + 2*q**2 - 9*q - 49. What is the least common multiple of 3 and t(-4)?
633
Let o(l) = 13*l**2 + 5*l - 4. Let a be o(1). Suppose 19 = a*x - 93. What is the lowest common multiple of 7 - (1 - 1/1) and x?
56
Let a be 1/(-4 + 105/25). Let h(d) = -d**3 + 8*d**2 - 12*d - 6. What is the least common multiple of 1 and h(a)?
9
Suppose 5*w + 883 = 4*u, 199 + 22 = u - w. Calculate the smallest common multiple of u and 8.
888
Suppose -4*y - 19*q + 144 = -16*q, -y - 2*q = -41. What is the smallest common multiple of 18 and y?
198
Suppose -2*t + 4*t - 48 = 0. Let j = 34 + -18. Calculate the lowest common multiple of t and j.
48
Find the common denominator of (180/336)/((-9)/108) and 149/132.
924
Let x(o) = 16*o + 1. Let z be x(-1). Let t be 5/z + 1750/5322. Let f = 52305/6209 - t. Calculate the common denominator of -41/10 and f.
70
Let g = -1663/2 + 881. Let o(z) = -5*z**3 + z**2 + 4*z + 4. Let u be o(-3). What is the common denominator of g and 18/16*u/(-12)?
4
Let p(x) = -2*x**2 - 4*x - 5. Let y be p(-1). Find the common denominator of 7/6 and (y/(-5))/((-410)/(-175)).
246
Suppose -h - 1 = -0. Calculate the common denominator of (326/(-144) - -2)*-4 and (h/5)/((-24)/306).
180
Let l(z) = -5*z - 293. Calculate the lowest common multiple of 79 and l(-60).
553
Let j(c) = -3*c - 3*c**2 - 29 + 5*c**2 + 21 - c. Suppose 5*u - 19 = 6. What is the smallest common multiple of j(u) and 30?
330
Suppose -7*x + 2*x = 4*u - 1025, 2*u = 3*x - 637. What is the smallest common multiple of 209 and x?
209
Let s = -503 - -8043/16. Calculate the common denominator of 37/48 and s.
48
Calculate the common denominator of (3 - (-4)/2) + 909/(-90) and -72/35.
70
Let d(r) = r**3 - 6*r**2 + 6*r. Let f be d(5). Let n = 35 - f. Calculate the smallest common multiple of n and 33.
330
Let t = -132 + -2. Let w = t - -70. What is the common denominator of (184/w)/(10/(-8)) and 81/10?
10
Let x(v) = -v**3 + 7*v**2 + 13*v - 13. Let j be (-12)/(-8)*(-32)/(-6). Calculate the least common multiple of x(j) and 24.
216
Find the common denominator of -13/6 and 8*9/621*-3.
138
Let n = -13037/10 - -1309. Find the common denominator of n and 44/99 + 2597/(-126).
30
Let z = -6345/32 + 1593/8. Calculate the common denominator of -49/2 and z.
32
Let s be (-66271)/(-6) + 11/(-66). Let m = s - 563222/51. Find the common denominator of m and 49/9.
153
What is the common denominator of (54/16)/(8 - 265/30) and 143/12?
60
Let p be 1/(-3) + 146/168. Let z = -720575/28 + 25732. Let s = z - p. What is the common denominator of 69/10 and s?
70
Let d = 51 - -185. Suppose -j - 2*k = -5*j + 300, -4*k + d = 3*j. What is the lowest common multiple of j and 22?
836
Let c be ((-2)/540)/((-28)/42654). Let o = 98/45 - c. Find the common denominator of o and -51/44.
308
Let h = -60 - -87. Suppose -3*g + y = -2*y - h, -y - 29 = -3*g. What is the lowest common multiple of 3 and g?
30
Let d = 3085 + -24639/8. Calculate the common denominator of 151/918 and d.
3672
Let s = 116500/9 + -12951. Let k = -810 - -5661/7. Find the common denominator of k and s.
63
Suppose -3*b = 22 - 37. Suppose -11 = -b*o + 89. What is the least common multiple of o and 48?
240
Suppose -7*c = 344 - 456. Calculate the least common multiple of 56 and c.
112
Suppose -4*z + 9*z - 130 = 0. Let r(q) = 2*q**2 + 56*q - 56. What is the smallest common multiple of z and r(-29)?
26
Let j = 124 - 114. Calculate the smallest common multiple of (-8)/((-96)/18)*j and 20.
60
Let w be ((8/(-10))/2)/(33/(-330)). Calculate the lowest common multiple of 27 and 1/w + (-2)/(24/(-393)).
297
Find the common denominator of (26/(-24) + -2)/((-2)/4) and -4*1*10/6.
6
What is the common denominator of (9/1512*-6)/((-15)/178) and 37/378?
1890
Let i be (-1)/(-4) - (-77)/28. Suppose -5*x + 78 = i. Calculate the common denominator of 181/12 - 5/x and 23/9.
36
Let a(m) = -m**2 - 1. Let w be a(0). Let c = -4405/3318 - 7/237. Find the common denominator of (18/(-9))/(w + 183/291) and c.
126
Let p = -5571 - -5579. Suppose -5*j + d + 149 = 0, -2*j = -5*j - 2*d + 79. What is the least common multiple of j and p?
232
Let a be (-9)/(-4) - 3/12. Suppose -a*r - 41 = -2*n - r, -5*n = 4*r - 70. What is the common denominator of -21 and -3 - (-1 + (-184)/n)?
9
Suppose 9*f + 567 = -0*f. Calculate the least common multiple of 8 and f/(-5) + 3/(-5).
24
Suppose 1 = -4*i + 41. Let w(j) = 53*j - 404. What is the smallest common multiple of w(8) and i?
20
Let h(g) = -g**3 - 3*g**2 - 7*g + 15. Calculate the least common multiple of 225 and h(-5).
900
Let n(m) = -m**3 - 4*m**2 - 2*m + 5. Let j = -2 + 9. Calculate the smallest common multiple of n(-2) and j.
7
Suppose -4*q + 3*q - 1 = 0. What is the common denominator of (-1558)/288 + (-2)/(-9) and (-1304)/48 + q + 5?
48
Suppose -12 = 3*n, 0 = 2*m - m + n + 1. Let t(r) = -3*r - 16*r - m + 7*r - r**2. What is the least common multiple of 1 and t(-11)?
8
Let a = 44/155 - -1/62. Find the common denominator of -4 + ((-95)/275)/((-588)/(-150) - 4) and a.
110
Let b = 13 + -10. Let n(h) = -2*h - b*h + 1 + 6*h - 3*h. Calculate the least common multiple of 6 and n(-2).
30
Suppose 70 - 16 = -2*l. Find the common denominator of l/72*(-12)/11 and 43/6.
66
Let p = 2585082 + -284354357/110. Let t = -6/55 - p. What is the common denominator of 89/6 and t?
6
Let j = -35279/9044 + 18/2261. Let n = -53761/4 + 13431. Calculate the common denominator of n and j.
28
Suppose 17 = 5*t - 13. What is the common denominator of 696/256 - 3/t and -11/36?
288
Let m = -45 + 72. Let n = m - 18. Suppose 10*q = -44*q + 378. Calculate the lowest common multiple of q and n.
63
Suppose -4*f - 48 = -8*f. Let c(n) = -17*n - 35. What is the lowest common multiple of f and c(-3)?
48
Let w = -4231 + 334255/79. Find the common denominator of -5/8 and w.
632
Let s = -255259/26 - -9821. Let d = 81285/22 - 3698. What is the common denominator of s and d?
286
Let i be 180/84 - (-2)/(-14). Calculate the least common multiple of 7 and 10/i*10/25.
14
Let s = -36 + 26. Let q = s - -19. What is the lowest common multiple of q and (24/(-9))/((-144)/594)?
99
Let g = 625 + -4404/7. Calculate the common denominator of (-13*1)/(0 - 5) and g.
35
Let u be 267/(-540) - 4/(-4). Let w = u + -9/20. Calculate the common denominator of w and 81/10.
90
Suppose -3*x = 6*v - 2*v - 27, 5*v + 5*x - 40 = 0. Suppose 3 = p - v. Calculate the smallest common multiple of 28 and p.
84
Let s(g) = g**3 + 4*g**2 + g + 21. Calculate the smallest common multiple of 36 and s(0).
252
Suppose -z = -h - 3*z + 11, -h + 4*z = 1. Calculate the lowest common multiple of h and ((-28)/(-8))/((-1)/(-2)).
7
Suppose 0 = m + 13 - 0. Let a be 11685/m + (-2)/13. Let x = a + 1831/2. Calculate the common denominator of x and 4/5.
10
Calculate the common denominator of 7/22 and (-1)/8*-2 + (-396)/(-312).
572
Suppose 452 = -5*v - 4*i, 4*v + 68 = -4*i - 296. Calculate the common denominator of 51/7 and (-4)/(-22) + (-1051)/v.
56
Let b(u) = -8*u + 304. Calculate the smallest common multiple of b(30) and 16.
64
Let v(t) = -455*t - 1802. Suppose 0 = 5*h - 21 + 6. What is the smallest common multiple of v(-4) and h?
18
Let r = -468 + 3261/7. Find the common denominator of r and 38/29.
203
Let t = -8847/10 + 886. Calculate the common denominator of t and -25/193.
1930
Suppose 0 = -4*p + 5*f + 958, -7*f - 960 = -4*p - 3*f. Calculate t