224260, 0*h + 734553 = 3*h - 3*g. Let t = h - 2450999/10. Let l = 245 + t. Calculate the common denominator of l and -43/16.
80
Suppose 5*s - 31 = c + 47, -5*s - 4*c = -63. Suppose 4*f = 3*f + s. Suppose -936 - 252 = -36*o. What is the smallest common multiple of o and f?
165
Suppose p = 4*k + 55, k = -5*p + 3*k + 311. Suppose -10 = -j + 4*l + 63, -2*l + 37 = 3*j. Calculate the least common multiple of p and j.
63
Let y = 2026421/108 + -18762. What is the common denominator of -113/216 and y?
216
Suppose -125 = -r + 4*y, r = 6*y - 4*y + 135. Calculate the common denominator of 23/7 and 2 - (5 + (-275)/r).
203
Let w = 4129/570 - 5/114. Suppose 2*m - 1 = 7. Calculate the common denominator of w and 1/m + 151/(-20).
10
Let w be (-75)/(-9) - 8 - 62/6. Calculate the common denominator of 232/170 - 2/(-5) and ((-4)/w)/((396/(-1110))/(-11)).
51
Let v = -1/114888 - -49574183/1263768. Let n = -360/11 + v. Calculate the common denominator of n and -47/14.
14
Let u be 9/((-4)/(-4)) - 3. Let a(c) = -c**3 + 5*c**2 + 6*c + 8. Suppose -p + 8*p = 35. Calculate the smallest common multiple of p and a(u).
40
Suppose -43*l = -282 - 406. Calculate the least common multiple of l and 328.
656
Suppose 36*z + 1489 = 37*z + m, -9*m = 2*z - 3006. What is the smallest common multiple of 3135 and z?
28215
Let h(j) = 814*j + 5115. Calculate the smallest common multiple of 22 and h(-6).
462
Let u = 63 + -19. Calculate the least common multiple of u and 12/(-25)*(-54800)/411.
704
Let w = 99125/111244 + -3/959. Let s = -5109/4 + 1269. Find the common denominator of w and s.
116
Let g(o) = 2*o**2 - 12*o + 41. Let n be g(4). What is the common denominator of 7/520 and (-302)/24 + 150/n?
1560
Let s = 6462 - 691442/107. Suppose -52*g - 167 - 93 = 0. Calculate the common denominator of s and g.
107
Let z(p) = -p**2 + 16*p + 147. Let g be z(24). What is the least common multiple of 6380/187 - (g/51 - -1) and 10?
170
Suppose -978 = -294*k + 198. Suppose -5*h + 4*h - 3*f + 88 = 0, 3*h - 5*f - 208 = 0. Calculate the lowest common multiple of h and k.
76
Let w = -156 - -165. Calculate the common denominator of -87/44 and (w/66)/((-6)/(-82)).
44
Suppose -4*z - 5*h + 41 = 0, 1 = h - 4. Let s(k) = -7*k**2 + 6 - 1 - 17*k - 2 + k**3 + z. Calculate the lowest common multiple of 2 and s(9).
16
Let l = 22341 - 22335. Suppose -2*w + 0*w = -2, -68 = -5*z + 2*w. What is the smallest common multiple of l and z?
42
Suppose 0 = 4*b + w - 8, 5 + 1 = 3*b - w. Let a be 9/(-5)*65/26*-2. Let d = b + a. What is the lowest common multiple of d and 8?
88
Let d(c) be the third derivative of c**6/120 + c**5/60 - c**4/24 + 5*c**3/2 - 2*c**2 - 20. Calculate the least common multiple of 81 and d(0).
405
Let t = 124 - 62. Suppose 0 = -g - q - 4*q + t, 4*q = 3*g - 148. Suppose 3*p + 98 = 5*n - 0*p, 4 = p. What is the smallest common multiple of g and n?
572
Let f = -19437043169281 + 121267712826387022/6239. Let i = f - 79058. Let b = i - -742431/62390. Find the common denominator of b and 73/74.
370
Let g(f) = -2*f - 2. Let q(s) = -9*s + 61. Suppose -13*o = -61 - 30. Let p be q(o). Calculate the least common multiple of 10 and g(p).
10
Suppose 770 - 852 = -3*x - b, 30 = x + 3*b. Let c(q) = -19*q + 6. Let f be c(-6). Suppose 0 = 8*o - 4*o - f. What is the lowest common multiple of o and x?
270
Let t = 3451 - 27685/8. Suppose -y - 18*y - 323 = 0. Find the common denominator of t and (y/4 - -3)*(-20)/(-45).
72
Let f(a) = -a**3 - 5*a**2 + 4*a - 9. Let o be f(-6). Suppose -4*d - o*x = 498, x - 128 = 3*d - 2*d. Calculate the common denominator of 1/14 and 3/d*3 + 2.
14
Let b(u) = -661*u**2 - 4*u - 9. Let z be b(-4). Let f = -7017 - z. Let v = f + -49695/14. What is the common denominator of v and 23/10?
70
Let m be 4 - (-3)/(-33)*-13. Let w = m + -521/22. Calculate the common denominator of w and -41/163.
326
Let m = 6 + 0. Let j(b) = 2*b**3 - 4*b**2 + 2. Let q be j(6). Calculate the common denominator of q/(-36) + (8 - m) + 3 and -119/18.
18
Find the common denominator of (22/(-8) + 3)/((-5364)/(-536) - 10) and -79/2064.
2064
Let q be 1*4 + (1221 - 1). Calculate the common denominator of ((-108)/q)/((-12)/11) and 35/12.
408
Find the common denominator of (291/(-4))/(9825/(-262)) and 9/155.
1550
Let q = -273136/3 + 50894362/559. Calculate the common denominator of q and -2/215.
8385
Suppose -63*l + 168 = -35*l. Suppose 3*d - t = 8, -5*t = -2*d - 0*d + 27. Calculate the lowest common multiple of 0 - d - -2 - -2 and l.
6
Let d be 8052/(-30)*((-1383)/(-576) - 5). Let l = d - 2093/3. What is the common denominator of l and 7/8?
160
Suppose z - 5*z = -16. What is the least common multiple of z and (-2)/((84/(-420))/(26/10))?
52
Suppose -77*j + 78103 = -70199. What is the least common multiple of j and 2889?
5778
Let z be 1/(-2) - 121224/32. Let u(p) = -6*p**3 - 10*p**2 - 6*p - 5. Let v be u(8). Let i = v - z. What is the common denominator of i and 71/6?
12
What is the lowest common multiple of 18*-4*(4/(-3))/((-4)/(-10)) and 300?
1200
Suppose v + 2*v - 24 = 0. Let x(j) = 12*j + 14. Let b be x(v). What is the lowest common multiple of 4 and (b/15)/(4/6)?
44
Let p = 100708 - 16113191/160. Find the common denominator of (-50)/(-1056) + 17/(-102) and p.
1760
Let o = -2941567 + 49691891300/16893. What is the common denominator of o and -13/3?
16893
Let x be ((-4)/32*6)/(24/(-871968)). Let n = x - 1199043/44. Calculate the common denominator of (-462)/(-80) + (-2)/5 and n.
88
Let m(v) = -9*v**2 - 11*v - 22 + v**2 + 7*v - 6*v**3 - 3*v. What is the lowest common multiple of 12 and m(-4)?
1572
Let y be (-13996)/6*(-2)/4. Suppose -2*h - 3407 = -3*a + 3*h, -4*a + 4586 = 2*h. Let f = y - a. Calculate the common denominator of f and 65/9.
9
Suppose r - 4 = 38. What is the least common multiple of (-42)/(-15)*(-40)/12*(-828)/483 and r?
336
Suppose -5512 + 16366 = 6*n. Let c = n + -719. What is the common denominator of 2/5 + c/(-600) and 23/12?
12
Let u(f) = 31*f**3 + 2*f + 1. Let k be u(-1). Let d be ((-4476)/k)/(9/(-4)). Let r = d + 62. Find the common denominator of r and 67/8.
24
Let t = -17613/20 + 882. Let a = 1624/3 + -6647/12. What is the common denominator of t and a?
60
Suppose 5*v - 10*v + 518 = 9*c, 0 = -2*v + 5*c + 147. Calculate the least common multiple of v and 819.
819
Calculate the lowest common multiple of 196/3 + 7856/(-1473) and 444.
2220
Suppose 5*k + 2*b = -1974, 208 = -4*k + 4*b - 1360. Let y = 436 + k. What is the least common multiple of 14 and y?
42
Suppose -5*l - 5*i = -0*l - 315, 2*i = 4*l - 252. What is the smallest common multiple of l and (-6 - -7)*(-147)/(4 + -7)?
441
Let u = -534 + 1276. Let n = 1 - 5. Find the common denominator of n/(-10) - u/330 and -5/9.
99
Let o be (-2)/(-2) - (6/3 - 2). Let a = 26 + o. Calculate the lowest common multiple of a and 87.
783
Let o be 2/(-11) - 6/165*-5. Suppose -2*b - 9*b + 110 = o. What is the smallest common multiple of 2 and b?
10
Find the common denominator of -14 - ((-1002840)/41712 + 10) and -71/316.
3476
Calculate the smallest common multiple of 5 and (29680/(-60))/(-4)*6.
3710
Let y = 76868670730/13483629 + 2/1498181. Suppose 0*j - 5703 = -j - 2*t, j + 3*t = 5707. Let c = j - y. Calculate the common denominator of c and 69/2.
18
Let x = -761/686 - -790669/696976. Find the common denominator of 59/2286 and x.
18288
Calculate the least common multiple of -3 + (175/28)/((-16)/(-2624)) and 1168.
8176
Let w = -36 + 64. Suppose 5*z - 4*h + 2 = 106, 5*z + 3*h - 97 = 0. What is the lowest common multiple of z and w?
140
Suppose 5*x - 5*n = -16980 - 36895, -x + 3*n = 10777. Let t = 344735/32 + x. Find the common denominator of t and -89/52.
416
Let u = -79654 - -18639091/234. Find the common denominator of -53/78 and u.
234
Find the common denominator of -34/651 and (236*(-12)/(-72))/98.
4557
Let l be -1 - ((-4)/(-18) + 38000/(-90)). Let f = l - 2941/7. Let t = 1339/72 - 191/9. Find the common denominator of t and f.
56
Calculate the common denominator of 31/126 and (367/(-27) + 156/13)*6/(-44).
1386
Let j = -2526/7 - -355. Find the common denominator of j and 37/2319.
16233
Suppose -3*a = j - 3, 2*j - 6 = 13*a - 17*a. Suppose a = -39*r + 10*r + 1711. Let b(w) = -w**2 - 8*w - 6. Calculate the smallest common multiple of r and b(-6).
354
Let b(c) = -c**3 - 173*c**