Let u = -94 - -94. Let o be (-1)/92*-4*(u + -501). Let j = -969/46 - o. Find the common denominator of j and 91/18.
414
Let l(t) = -74*t - 87. Let k be l(-4). Let o = -169 + k. Calculate the lowest common multiple of 60 and o.
120
Suppose 14*r = 15*r + b - 87, -2*r = b - 178. Let o = 103 - -86. Suppose 88*n + o = r*n. Calculate the lowest common multiple of n and 4.
252
Let h be ((-5)/(-15))/((12/(-4))/207). Let p(o) = o + 29. Calculate the smallest common multiple of p(h) and 15.
30
What is the common denominator of -43/9 and (-1 + 2)*-5 + 1178632/233376?
6732
Let u = -66 - -56. What is the smallest common multiple of -7 - u - (-1 + 6/3) and 24?
24
Let p(t) = t**3 - 11*t**2 - 60*t + 7. Let a be p(15). Suppose -3*g + 3*b - 263 = -a*g, 9 = -3*b. What is the smallest common multiple of 2 and g?
68
Let y = 13/866 - 30847/6928. Find the common denominator of -47/1876 and y.
7504
Let l be (12/(-10))/((-32)/197). Let t = l - 26/5. What is the common denominator of (27/(-64))/((-3)/36) and t?
16
Let g = 5349557/36855 - 23507/162. Calculate the common denominator of g and 74/45.
8190
Suppose -2*s + 21 = 5*g, 0 = -2*s - 41*g + 46*g + 11. What is the least common multiple of s and 644?
1288
Let k = -14610 - -14617. What is the lowest common multiple of k and 78?
546
Let h = 673 - 645. Suppose -43*i + 144 + h = 0. Calculate the lowest common multiple of 4 and i.
4
Let d be 2/10 + (-70368)/15. Let h = -9289 - d. Find the common denominator of 12445/h - 5/(-2) and 8/3.
363
Let g be (4/(-18))/(139741/(-34937) + 4). Let l = -1101 - g. Let d = 59285/6328 + 5/791. Find the common denominator of d and l.
72
Let y = 312558 - 65637337/210. Calculate the common denominator of y and 61/6.
210
Suppose 48*s = 7*s + 533. Calculate the least common multiple of 178/18 - (s - 944/72) and 50.
50
Let g = -103799/9 + 11533. Let x = 11941/5 + -393863/165. What is the common denominator of x and g?
99
Let r(s) = -s**3 + 10*s**2 + 23*s - 10. Let w be r(11). Calculate the smallest common multiple of w/6 + (78/(-18) - -4) and 45.
180
Suppose -60 = 34*q - 4*q. Let o(u) = -u. Calculate the least common multiple of 22 and o(q).
22
Calculate the common denominator of (1 - 460/104) + 12/((-132)/(-77)) and 13/608.
7904
Let s = 69689961/496 - 140504. Let c = 87175/18 - 4841. Calculate the common denominator of s and c.
4464
Let t be 0*3/(-18) - (-2)/1. Suppose -5*n = l + 23 - 159, t*l = -8. Calculate the lowest common multiple of n and 50.
700
Suppose -2*q + 6*q - 5*c + 47028 = 0, 0 = 5*c. Let n = q - -470249/40. Calculate the common denominator of -39 and n.
40
Suppose -c + r = -13, -4*r + 52 = 3*c + c. Let n = -16 - -37. Let h = n - c. What is the smallest common multiple of 10 and h?
40
Let r = 46 - 41. Suppose 341 + 539 = r*w. Calculate the common denominator of ((-8)/w)/((-1)/86) and -95/4.
44
Let t = 2097 - 100723/48. Calculate the common denominator of t and -1*92/54*4/16.
432
Let g be (-538850)/884 + (6/(-2))/1. Let h = 610 + g. Calculate the common denominator of -26 and h.
34
Let u(d) = d**3 - 10*d**2 - 12*d + 14. Suppose 5*i - 5*o = 60, -3 = o + 2*o. Let z be u(i). What is the lowest common multiple of 16 and 5/(z*2/24)?
80
Suppose -4*o - 7*s + 2*s - 119 = 0, -5*o - 121 = -3*s. Let w = -18 - o. Suppose -2*l + 251 = 225. Calculate the least common multiple of w and l.
104
Let l(d) = -d + 75. Let b = 466 + -433. Calculate the smallest common multiple of l(b) and 24.
168
Let t = -2/20789 + -2016485/498936. Let a be ((-1)/(-6))/(3/11967). Let j = a - 667. Calculate the common denominator of j and t.
24
Let h = 14190 - 368889/26. Let f = 1003/8 - 126. Calculate the common denominator of h and f.
104
Let a = 10968 + -10712. What is the lowest common multiple of 20 and a?
1280
Let n(m) = m. Let k be n(5). Suppose -2*c = 3*z - 13, 0*z - z = k*c - 13. What is the least common multiple of 6/4 - 63/(-14) and z?
6
Suppose -94 = -4*n - 10*i + 5*i, 2*n - 50 = -4*i. Find the common denominator of 17/90 and (n/(-420))/(4/570*-6).
720
Suppose -5*p - 65 = 4*s - 217, 0 = s + 3*p - 45. Let y = s + -22. Suppose 4*z = 5*i + y, -i + 0*i = 4*z - 41. What is the lowest common multiple of 4 and z?
36
What is the common denominator of ((-3)/9)/((-2842)/(-354) - 8) and (2 - 3) + 32/(-10)?
5
Suppose 0 = 4*s - 2*f - 16026, -3*s - 20*f + 12007 = -19*f. What is the lowest common multiple of s and 1232?
16016
Find the common denominator of 59/7570 and (-61)/(4697/(-14)) + (-1247)/(-220).
15140
Suppose -8*g + 20 = -3*g. Calculate the common denominator of 75/28 and (g/(-112))/((-3 + 0)/666).
28
Let o = -3145/186 - 225/31. What is the common denominator of 0/6 - 21/(-186) and o?
186
Let n = -46/31 + 373/899. Calculate the common denominator of (-17)/170*1695/9 and n.
174
Let t = 208/241 - 6089/22413. What is the common denominator of t and 9/155?
465
Let v = 7198 + -5422. Calculate the lowest common multiple of v and 12.
1776
Let w(z) = 8*z + 226. Let o be w(-22). What is the smallest common multiple of o*(165/60 - 1/(-4)) and 10?
150
Let r = -36 + 18. Let s = 20 + r. What is the least common multiple of (12/(-20))/(s/(-10)) and 7?
21
Calculate the common denominator of 33 - 45 - (-771)/48 and -69/10.
80
Let r(l) = 1. Let d(u) = -58*u + 62. Let f(h) = -d(h) - 10*r(h). What is the lowest common multiple of f(7) and 5?
1670
Let l = -3530171/34487214 + 28/32111. What is the common denominator of 28/1611 and l?
3222
Let f(m) = m**2 - m + 1. Let u(n) = 3*n**2 + 10*n - 23. Let a(w) = -4*f(w) + u(w). Let p be a(11). What is the common denominator of -45/2 and 252/(-16) - p/3?
4
Let x = -2114 + 2194. Calculate the lowest common multiple of x and 80.
80
Let v = -75458774/869 - -86834. Let f = v + -57439/24332. What is the common denominator of -39/8 and f?
56
Let d(x) = -2*x**3 + 3*x**2 + 7. Let q be d(-3). Let v = 154 - q. Suppose -v*a = -65*a - 1. What is the lowest common multiple of a and 11?
11
Let v(p) = 31*p**2 + 1799*p + 59. Let a = -24 + -85. Let q = -57 - a. Calculate the least common multiple of v(-58) and q.
52
Let b(t) = 7*t**2 - 172*t - 686. Calculate the smallest common multiple of b(-4) and 190.
570
Let f be 118/177 + 2 + 4073845/(-1527693). Let d = f + 41247257/231190874. Find the common denominator of 54/7 and d.
3178
Suppose -332*n = -365*n + 16830. What is the smallest common multiple of n and 408?
2040
Let f be (24338941/126)/(-11) + 24/84. Let k = 17554 + f. Find the common denominator of k and 2/8 + (-510)/1480.
666
Let q(t) = -11*t + 167. What is the least common multiple of 808 and q(9)?
13736
Let a = 35 - 11. Let b(o) = o**2 - 3212*o - 19296. Calculate the least common multiple of a and b(-6).
24
Suppose -107 = -5*c - 42. Suppose -w + 9 + c = 0. What is the least common multiple of 120 and w?
1320
Let i(a) = a**3 + 8*a**2 + 12*a - 12. Let z be i(-6). What is the common denominator of 1/z - (-339)/(-252) and -74/33?
231
Suppose -5*v + b + 217 = -3*b, 4*v + 3*b - 186 = 0. What is the smallest common multiple of v and 2 - -12 - (-36 - 70/14)?
495
Let q = 2055723 + -9844857493/4789. What is the common denominator of q and 18/7?
33523
Suppose 10*u + u = -825. Calculate the common denominator of 53/16 and (-430)/16*10/u.
48
Let j = -100128 + 100160. What is the least common multiple of j and -1 + 41*1 + 0?
160
Let u(f) be the first derivative of -f**3/3 - 2*f**2 + 7*f + 19. What is the lowest common multiple of 15 and u(-4)?
105
Let h(r) = -r**2 - 197*r - 4454. Calculate the least common multiple of h(-27) and 71.
9656
Let k = -136 - -140. What is the lowest common multiple of k/(-14) - (-1102)/133 and 142?
568
Let z be ((-4)/10)/((-11)/(-165)). Find the common denominator of 27/32 and (-255)/4*(z/30)/(-1).
32
Let p = 1973 + -1968. What is the smallest common multiple of 218 and p?
1090
Suppose 14*d - 1968 = -10*d. Calculate the least common multiple of d and 10.
410
Find the common denominator of ((-1)/(-4))/(77/1134) and 126*1*(-2)/32.
88
Suppose 11*j - 37*j - 7406 = -187*j. Calculate the smallest common multiple of 345 and j.
690
Let g = 1 + 4. Suppose -g*p = -8*p + 87. Suppose 1579 = -10*n + 1609. Calculate the least common multiple of n and p.
87
Let d = -261482 + 69031115/264. Calculate the common denominator of d and 49/396.
792
Let o(t) = 0 - 10*t**2 - 7*t + 11*t**2 + 0. Let h be o(-3)