p) = p**3 + 13*p**2 + 15*p + 29. Let y be w(-12). Let q be 69/(-1 - (28/(-8))/y). Let i = q - -54. Calculate the least common multiple of 4 and i.
8
Let k(y) = 29*y - 53. Let t(l) = 72*l - 132. Let p(u) = -12*k(u) + 5*t(u). What is the smallest common multiple of p(8) and 40?
360
Let q = -912986554797/53 + 39864652673941217/2314192. Let n = -279/5458 + q. Let r = -3350 + n. Calculate the common denominator of r and -29/26.
208
Calculate the common denominator of 44/29 and (20/(-12))/(230/(-510) + 5).
232
Let n be ((-3)/1)/1 + 79 + -308. Calculate the common denominator of (-138)/(-9)*(-2)/4 and ((-3683)/n)/(15/4).
30
Let v = -3205/3304 - 6614197/9912. Let j = -4532/7 - v. Let n = 156125/18 + -8678. What is the common denominator of j and n?
18
Let t(o) = o**2 + 11*o + 12. Let f be t(-10). Let v = 3487/210 - 218/15. Find the common denominator of (f/6)/(72/(-5940)) and v.
14
Let p = -2686/3 - -10981/12. What is the common denominator of (1108/56 - 9)/(432/(-126)) and p?
48
Let p = 102 - 83. Let t = p - 14. Let n = 26 + -9. Calculate the least common multiple of n and t.
85
Let c = 27 + -23. Suppose -5*u - 12 = -c*u. Find the common denominator of 358/5*((-13)/u)/(-13) and -73/12.
60
Let p = -1163749/40 + 29092. Find the common denominator of p and 14/475.
3800
Let i = -501556899/2546 + 196998. Calculate the common denominator of i and 85/14.
17822
Let p = -333009 - -358983643/1078. Find the common denominator of 93/686 and p.
7546
Let z = 7 - -71. Suppose -189 = -2*y + j, -291 = -3*y + j + 3*j. Let s = y - z. What is the lowest common multiple of s and 11?
165
Calculate the common denominator of 37/36 and 432/360 + 6026/(-4080).
1224
Let b = -920 - -523. Let n = b - -413. What is the smallest common multiple of n and 100?
400
Let h = -1015577 - -2043340877/2012. Calculate the common denominator of 89/3018 and h.
6036
Calculate the common denominator of (-25)/(-30)*-114*2/8 and 119/160.
160
Let w = 10 + -1. Suppose -196 = -w*u + 5*u. Suppose 6*h - u = h + 3*x, 2*h - 5*x = 31. What is the smallest common multiple of h and 8?
8
Let b(s) = s**3 + 27*s**2 + 27*s + 25. Let o be b(-26). Calculate the common denominator of 3 + -1 + (-553)/56 and (447/66 - 0) + 4*o.
88
Let p(c) = 3*c**2 + 37*c - 31. Suppose 0 = 2*n - 124 - 32. Calculate the least common multiple of n and p(-14).
78
Let o = -23068/449955 - -13/19998. What is the common denominator of o and -97/2295?
13770
Let m = 1263194833059/35581371322 + 6/14041583. Let q = m - 2/1267. What is the common denominator of (-753)/(-432) - 6/27 and q?
48
Let j = 1087945/108 - 10074. Calculate the common denominator of ((-1725)/1200)/((-39)/12 + 1) and j.
108
Let r = -165 + 165. Suppose r = -23*s - 13*s + 2952. Calculate the lowest common multiple of s and 14.
574
Let x be ((-1)/(-8) + 0)/((-22)/1932584). Let t = x + 10984. Let k = t + -646/33. Calculate the common denominator of 61/148 and k.
444
Let g = 1245 - 884. Let r be (-7 + g)*2/6. Find the common denominator of 79/21 and r/42 - (2 + (-39)/21).
21
Let o = 28 + 5. What is the least common multiple of (-4)/(-2 - -10) - (-1417)/26 and o?
594
Suppose 0 = -2*n - r + 1632, 658*r = 3*n + 654*r - 2492. What is the lowest common multiple of 25 and n?
4100
Let p = -2/55681 - -3507947/1224982. What is the common denominator of p and 47/354?
3894
Suppose -5*k = -3*j + 218, -4*j + k = 23 - 325. Suppose j = 2*h - 166. Suppose -145 = -3*b - h. Calculate the least common multiple of b and 3.
24
Let k be (-31 + 29)/((-4)/(-86074)). Let i = k - -1936583/45. Find the common denominator of 13/5 and i.
45
Let a = 665524/49 + -13583. Calculate the common denominator of a and -43/91.
637
Let j = -1202492/75 - -16034. Calculate the common denominator of 7/120 and j.
600
Let d be (-5 + 7)*(-7 - -15). Suppose d = 4*x + t, -5*x = -3*t - 44 + 24. Calculate the smallest common multiple of x and 1.
4
Find the common denominator of (-18)/(-221130)*-16387 + (-12)/(-10) and 109/12.
1404
Suppose -5*i - 4*m + 322 = 0, 4*i - 274 = -121*m + 126*m. Calculate the lowest common multiple of i and 702.
7722
Suppose 0 = 225*s - 218*s - 98. Calculate the lowest common multiple of s and 8.
56
Suppose 9*v = 11*v - 40. Suppose 2*a + 2*s = 0, 5*s = a - 50 + v. What is the lowest common multiple of 13/2 + (-7)/14 and a?
30
Suppose -s - 10*s = -44. Calculate the least common multiple of s and 78*((-11)/(-33) + 1).
104
Suppose 4*x - 4*z + 6 = -26, 4*z = -4. Let n = 2/1087 + 77171/3261. What is the common denominator of (2/x)/(-1 + (-220)/(-228)) and n?
3
Suppose -3*u - 3*q = -225, 0*u - 84 = -u - 4*q. Suppose 2*l - 194427 + 194111 = -2*f, -3*f = 5*l - 762. Calculate the smallest common multiple of u and l.
144
Let k = 4/2135 + 125941/12810. Find the common denominator of k and 37/9170.
27510
Suppose 11*m - 5 = -38. What is the smallest common multiple of -2*3/(-6) + m + 24 and 198?
198
Let y = 14288833/222 + -64364. Find the common denominator of y and 81/740.
2220
Suppose 0 = -14*h + 7*h - 280. Let y = -20677/9 - -2302. What is the common denominator of y and (-162)/h + 7/(-28)?
45
Suppose -2*l + 5*l - 6 = 0, 5*f - 5*l - 15 = 0. Suppose 5*i - 5*n = 150, -f*i + 166 = -0*n - n. Calculate the least common multiple of 22 and i.
374
Let j be ((-9908)/66)/(3 - 11). Let q = j + -200/11. Calculate the common denominator of q and 14/15.
60
Let y be (1 - 407)*(4 + 1)/5. Let q = -631 - y. Calculate the smallest common multiple of 8/(-10)*(q/2)/5 and 68.
612
Let t = -47121277/390 + 120824. Calculate the common denominator of t and 137/270.
3510
Suppose 20 = -3041*y + 3043*y - u, u = -5*y + 43. What is the least common multiple of y and 8?
72
Suppose -12*h + 969 = 5*h. Suppose 37 = 5*r + h, 5*r - 44 = -4*g. What is the lowest common multiple of g and 38?
304
Calculate the smallest common multiple of -6 + (-1832)/(-24) + 1/(-3) and (14/(-8))/(3 - (-119)/588*-15).
490
Suppose -3*u + 0*u = -66. Let c(o) = -o**2 + 9*o + 74. Let f be c(14). Let m(d) = d**3 - d**2 - 9*d + 2. What is the smallest common multiple of m(f) and u?
154
Let r = -25776 - -25925. Calculate the smallest common multiple of 4 and r.
596
Suppose -4*p - 297 = -2*y - 65, 0 = -y - 5*p + 144. Let f = y - 73. Let c = 21 + -10. What is the smallest common multiple of f and c?
561
Suppose 5*o = 40 - 245. Let m = o - -38. What is the common denominator of (-14)/(-24) + (-1)/m and 123/20?
60
Let o = -6366 + 6438. What is the smallest common multiple of 324 and o?
648
Calculate the lowest common multiple of 261 + (-5 - (6 - 1)) - (6 + 2) and 1782.
5346
Let d = -1457/129 - -930/43. What is the common denominator of d and -151/30?
30
Let p = 380293/20 + -19009. Suppose -7*w = -8*w + 1. Calculate the common denominator of p and 33/(-880)*(w - (-278)/6).
40
Let j(v) = 2*v + 29. Let u be j(-13). Let h be (-4 - (-1 - 3) - 2) + u. Suppose -s - h = -5. What is the lowest common multiple of s and 10?
20
Suppose -5*o = 2*k - 1265, 12 - 27 = -3*k. Let a = o - 243. What is the least common multiple of 40 and a?
40
Let p be ((-33)/(-2034))/(8/(-9)). Let x = p + -40835/16272. What is the common denominator of x and -91/36?
36
Let r = 3/1517786 - -27250709283/3794465. Let t = r + -7188. What is the common denominator of 4/((-320)/118) - -1 and t?
40
Calculate the smallest common multiple of (-92)/(-115) - 292/(-10) and 4 + -2 + -1 + 13 + 1.
30
Let y(w) = 5*w**3 - 30*w**2 + 49*w - 17. Calculate the least common multiple of y(9) and 1490.
16390
Let v be ((-3)/(-1) - 3) + 158. Suppose -v = 3*h + 238. Find the common denominator of ((-2)/8 - (-7)/h) + -2 and 7/18.
198
Let m = 3422 - -2740. Suppose 11*d + m = 37*d. What is the lowest common multiple of 3 and d?
237
Let n be (176/28 - 2/7) + 1. Let s(p) = -5*p + 24. Let u be s(n). What is the common denominator of (-89)/u*(-1)/2 and -39/100?
1100
Suppose 5*x - 46 = 3*y, 3*y + 67 = 3*x + 43. Let k = -380 - -609. Calculate the least common multiple of y and k.
687
Let u(i) = -i**3 + 15*i**2 - 12*i - 27. Let y be u(14). What is the smallest common multiple of 266 and y/(8 + 474/(-60))?
1330
Let y = -27497 + 27611. What is the lowest common multiple of y and (2 - 3)*(2 - 26)?
456
Let r(f) = -191*f - 1492. Let w = 3 - -1. Calculate the lowest common multiple of r(-8) and w.
36
Let y = 1838424040 + -4952714422507/2694. Let s = 