**2 + 16*k + 4. Let q be u(-16). Suppose -41 = -q*p + 51. Calculate the common denominator of (-4)/((-32)/p) - -1 and -95/2.
8
Let u = -1627831/351960 - -2/43995. What is the common denominator of u and 79/2122?
8488
Let r = -283 - -299. Calculate the smallest common multiple of r and 4712.
9424
Calculate the common denominator of (21/420)/((-64)/23) and -113/160.
1280
Let h = -4069691/108 + 37681. Find the common denominator of h and 91/12.
108
Suppose o = 3*n + 261, -3*n + 23*o - 27*o - 276 = 0. Let l = n - -503/6. Let q = 2460 + -39341/16. Find the common denominator of q and l.
48
Suppose 2*i + 2*l = 50, l = 4*i - 46 - 19. Calculate the least common multiple of 7050 and i.
21150
Let y be -1 - 0 - (-10 + 603). Let r = y + 4727/8. Let b = -74 + 1189/16. Calculate the common denominator of b and r.
16
Let s(r) = -r**2 - 74*r - 877. Calculate the lowest common multiple of 2188 and s(-15).
4376
Let o(m) = -1059*m - 2676. Calculate the smallest common multiple of 9 and o(-4).
4680
Let a(h) = h**3 + 20*h**2 - 19*h + 17. Let c be a(-21). Let d = 41 + c. Find the common denominator of ((-24)/d)/((-21)/(-11)) and 13/18.
126
Let p(j) = -622*j**2 + 3272*j + 18. Calculate the least common multiple of p(5) and 180.
4140
Calculate the common denominator of 4/18 - (-644)/(-1926) and -23*(-3 - 1 - ((-4550)/(-42))/(-25)).
321
Suppose 90 = -q + 2*h, 7*q + 90 = 6*q + h. Find the common denominator of -77/24 and (q*(-5)/40)/((-13)/2).
312
Find the common denominator of -83/10 and (14 + 219/(-15))*(-7279)/(-4380) + 1.
7300
Let a(d) = 7*d**2 - 40*d + 101. Calculate the common denominator of -3 + (-1036)/(-312) - 2/(-4) and a(2).
39
Suppose 2*a + 22 = c, 2*c + 2 + 2 = 0. Let i(k) = k + 6. Let n be i(a). Calculate the least common multiple of 20 and ((-12)/(-3) - 7)*28/n.
140
Let l = -14063483780165/45288 - -2794810004/9. Let g = l - -6/629. Calculate the common denominator of g and -27/56.
168
Find the common denominator of 71/40 and 1*(-3)/2 + (-111954)/(-80840).
1720
What is the lowest common multiple of 44 and ((5 - 12) + -5)*-3?
396
Let v = -13255 + 1272415/96. Calculate the common denominator of 9/(-6) - (152 - 170) and v.
96
Let y = 15 - 6. Let w(h) = h**2 - 6*h. Suppose 0 = 9*f + 66 - 120. What is the smallest common multiple of f and w(y)?
54
Let i be (-1918)/(-11492) + 4*(-6)/144. Let c = -405137/189618 + i. Calculate the common denominator of c and 22.
22
Let u = 9 - 38. Let y = 43 + u. Let d = -43485 + 43493. Calculate the smallest common multiple of d and y.
56
Let r be 2/((-4)/(-19*8)). Suppose 3*p + 112 = r. Find the common denominator of (18/p)/((-27)/148) and 41/8.
72
Suppose -2*p = -4*o + 10, p + 2*p + o + 29 = 0. Let h be p/(-15) + 96/15. Suppose 0 = -j + 11 - h. Calculate the lowest common multiple of 10 and j.
20
Let c = 209 + -356. Find the common denominator of 1/((-30)/c) + 5 and (-2)/(-4) - (-18)/5.
10
Let o be (-32)/(-6) - (-2)/3. Find the common denominator of (3/(-6))/(o/196) and 10/(-105)*(-3173)/38 + -4.
21
Let p(b) = 6*b**2 + 2*b + 5. Let h be p(4). Suppose -h*k + 20 = -104*k. What is the common denominator of 0/1 - k/(80/18) and 101/4?
20
Let a(v) = 8*v**2 - v - 1. Let g = 146169 + -146137. What is the least common multiple of g and a(-1)?
32
Let f be (-1 + -20)*(-3)/9. Suppose f*s - 42 = 21. Suppose s*z + 0*z = 36. Calculate the least common multiple of 24 and z.
24
Let r = 1234241 - 4027328437/3263. What is the common denominator of 79/39 and r?
9789
Suppose 256 = 4*m - y - 57, -2*m - 4*y + 134 = 0. Calculate the common denominator of 69/2 and 114/(-133) - 214/m.
22
Suppose 0 = 2*t - 4*h, 6*t - 3*h + 1 = 5*t. Suppose -76 = -2*y + 5*d, 50 = 3*y - t*d - 53. Calculate the smallest common multiple of 93 and y.
1023
Suppose 36 - 12 = 4*w. Calculate the common denominator of w/(-384)*(2 - 72) and -121/80.
160
Let g(y) = y**3 - 5*y**2 + 16*y - 64. Suppose -b = -0*b - 10. Calculate the lowest common multiple of g(5) and b.
80
Let u(o) = o**3 + 14*o**2 - 13*o + 36. Let g(j) = 53*j + 8. Let h be g(2). Let z = 99 - h. Calculate the least common multiple of 88 and u(z).
264
Let t(u) be the first derivative of -u**4/4 + 8*u**3/3 - 7*u**2/2 + 7*u - 25. Calculate the least common multiple of 37 and t(7).
259
Let m be (-1)/(-2) - 123/1062. Let j = -1387/590 + m. Let a = -8/533 - 5719/9594. What is the common denominator of j and a?
90
Let z(w) = -16*w**3 - 4*w**2 - 4*w + 6. Calculate the least common multiple of 567 and z(-2).
1134
Calculate the common denominator of (-96)/(-55)*(-16)/(-24) and (-8)/(224/42)*-4 - 81/20.
220
Let t(k) = 31*k**2 + 5386*k + 234. Calculate the smallest common multiple of t(-174) and 2.
1626
Let m(b) = -b**3 + 6*b**2 - 5*b - 4. Let v = -75 - -96. Let t = -19 + v. What is the least common multiple of 3 and m(t)?
6
Let m(w) = -w**2 - 20*w - 75. Let h be m(-5). What is the common denominator of 44/3 and h + 1/((-864)/1048)?
108
Let k(b) = -2*b**3 + 3*b**2 + 8*b - 11. Let m be k(3). Find the common denominator of -85/72 and m/133 - 4428/4864.
576
Let q = -1476 - -22121/15. Suppose -21*n = -25*n + 60. Calculate the common denominator of q and (103 + (0 - -3))/n + -1.
15
Let x be 7 - -1 - (3 - -4). Find the common denominator of 51/98 and ((-143)/(-77))/(5 - (x - 3)).
98
Let a = -11855401/208 - -56997. Find the common denominator of a and -17/2028.
8112
Let d = 19311/15136 + -87/86. Calculate the common denominator of d and -45/136.
5984
Calculate the common denominator of 31/7572 and (-938)/120 + (-16)/240*-6.
7572
Let m(q) be the first derivative of -5*q**2/2 + 20*q + 7. Let b be m(8). Calculate the common denominator of 19/10 and (2 + (-6)/b)/(16/30).
80
Calculate the lowest common multiple of (-3 - (-4 - 582))/((-35)/(-280)) and 16.
9328
Let n = 408 + -257. Let b = -147 + n. What is the least common multiple of b and 746?
1492
Let f = 32 + 76. Calculate the common denominator of ((-126)/f)/((-2)/27) and (-27)/(-72)*(-284)/18.
12
Let b = -62 + 110. Suppose -m = 2*m - b. Let d(o) = 2*o**2 - 11*o. Calculate the least common multiple of d(8) and m.
80
Suppose -4 = 2*v - 2*m, -2*v = -9*m + 8*m - 1. What is the smallest common multiple of v and 16?
48
Suppose -291 = -38*n + 270 - 143. Calculate the least common multiple of 56 and n.
616
What is the common denominator of (-100)/11200*136/(-6) and 23/210?
420
Let f be (3 - 464)/(2/(-2))*-4. Let u = f - -12945/7. Calculate the common denominator of u and -2 + -61*(-2)/4.
14
Let i = -457 + 510. Calculate the lowest common multiple of i and 3.
159
Let r(u) = -39*u + 20. Let f be r(-5). Suppose 0 = 5*y - 15, s + f = 6*s + 5*y. Let a = 76 - s. Calculate the least common multiple of a and 21.
252
Let z(s) = 3*s**2 - 7*s - 44. Let n(u) = -6*u**2 + 14*u + 87. Let r(w) = 6*n(w) + 13*z(w). Calculate the least common multiple of 2 and r(-8).
198
Let o(y) = y**3 - 8*y**2 + 14*y + 13. Let a be o(7). Let k = -67 + a. What is the lowest common multiple of 6 and -2*((-15)/(-6))/k*19?
114
Suppose -f - 2*q = -56, -5*f + 15*q + 350 = 11*q. Let k(r) = 10*r + 48. Calculate the smallest common multiple of k(-3) and f.
198
Let y = -6352/3 + 2108. Calculate the common denominator of y and 63/(-6) + (-2)/5.
30
Let y(u) = u - 28. Let g be y(26). Let q(h) = 2*h + 4. Calculate the lowest common multiple of 184/46 + (-2 - -2)/g and q(2).
8
What is the common denominator of 26/57 and -9 + (662649/1976)/39?
456
Let c(a) = -a**3 - 4*a**2 + 6*a + 19. Suppose -5*d - 12 - 3 = 3*j, -4*d + 20 = -4*j. What is the smallest common multiple of c(j) and -1*(-2)/(-6)*-6?
14
Let x = -308 + 4453. Let c = x - 37357/9. Calculate the common denominator of c and -11/147.
441
Let c(v) = -v**2 - 67*v - 1059. Suppose 2*f - 5*z = 50 - 13, -2*f = z - 7. What is the smallest common multiple of f and c(-27)?
42
What is the smallest common multiple of 1664 and 0 - -7 - 0 - (-6 - (-4459)/(-7))?
41600
Let o = -5599664165/1049314 - -2/524657. Let p = o - -58679/11. Calculate the common denominator of -5/22 and p.
22
Let l(r) = r**3 - 6*r**2 - 10*r + 12. Let g be l(7). Let a be (g/2 - -4)*-86. Suppose -a*q = -39*q - 16. Calculate the least common multiple of q and 4.
4
Let t = -251637/140 - -8999/5. What is the common denominator of 3004/96 + -2 - 25 and t?
168
Let z(g) be the second derivative of -5*g**3/6 - 39*g**2/2 - 45*g + 3. Wh