Let f(o) = -o - 15. Let h(g) = g**2 + 4*g - 2. Let u be h(-5). Suppose m + 3*w + 4 = u*m, 0 = -3*w + 12. What is the smallest common multiple of f(-24) and m?
72
Suppose 2*q + h - 104 = 5*h, 0 = h - 4. Suppose 65*g = q*g - 420. Find the common denominator of (63/g)/(-1 + (-95)/(-89)) and 21/16.
16
Let i(o) = -o. Let p be i(8). Let d = p - -14. What is the least common multiple of ((-2)/d)/(1/(-9)) and 6?
6
Suppose 16*q + 5*q - 5082 = 0. Let b = -241 + q. Let l(h) = 9*h**2 - 2*h - 1. What is the lowest common multiple of b and l(-1)?
10
Let l = 22536769/506 + -44539. Find the common denominator of -83/874 and l.
9614
Let m = 1/197 + 24613/2364. Find the common denominator of m and -1 + -4*(-6)/4 + 602/(-90).
180
Let x = 42 - 28. Suppose -c + 5*s + 10 = 34, 4*c - 2*s = -60. What is the lowest common multiple of 2/(-5)*(c - 31) and x?
126
Suppose -15*u + 93 = -14*u. Suppose -4*w - 3*m = -7*w + u, 4*m = -16. Calculate the least common multiple of w and 33.
297
Let u(s) = -s**2 + 12*s - 16. Let d = 318 + -312. Calculate the least common multiple of u(d) and 1124.
5620
What is the smallest common multiple of 770 and 643 + -9 - ((-10)/(-6) + (-84)/(-36))?
6930
Let k = -12037 + 16815688/1397. Let l = k + 141099/2794. Let x = -2609/2 - -1265. Calculate the common denominator of x and l.
2
Let u(n) = n**2 - 18*n - 233. Let l be u(-9). Calculate the least common multiple of (-48)/(-40)*l/2 and 1.
6
Suppose -6*k + 9*k + 81 = 0. Calculate the common denominator of ((-32)/k)/((-32)/(-64)) and -31/24.
216
Let m(o) = o**2 - 1. Let j be m(4). Suppose 14*s - j*s = 0. Suppose s*w = w + 5, -4*r = -w - 77. Calculate the least common multiple of r and 12.
36
Suppose 7*h - 471 = -30. Let y = 855 + -819. What is the lowest common multiple of h and y?
252
Let g = -2780 + 2852. What is the least common multiple of g and 1053?
8424
Suppose 2*j = -s + 1396, -5*j = -6*s - 4*s + 14060. What is the smallest common multiple of 96 and s?
11232
What is the smallest common multiple of (4 - 4) + -4 + 8 + 14 and 1/(-1) - -1*(2 - -21)?
198
Let n(q) = q + 339. What is the lowest common multiple of 40 and n(-39)?
600
Calculate the common denominator of 10/84*(102/280)/((-141)/(-188)) and 69/980.
2940
Let x = 44382010012609/70686 - 6906630928/11. Let m = x - 10/3213. What is the common denominator of m and 15/62?
682
Let a be 5 - (-3051)/(-3960)*131. Let v = a - -951/10. Calculate the common denominator of v and -45/56.
616
Let u(w) = 593*w - 33. What is the lowest common multiple of 640 and u(1)?
4480
Let n = -160 + -71. What is the common denominator of n/45 - 3/9 and (-38)/(-24) + 2 + (-117 - -115)?
60
Let g = 184 + -199. What is the common denominator of 99/10 and (2 - 196/8)*g/500?
40
Let m = -3639 - -25444/7. What is the common denominator of 92/4905 and m?
34335
Let z be 5/(270/(-1767))*14. Let m = z + 455. Calculate the common denominator of m and 7/6.
18
Suppose u = 2*m - m + 161639, 0 = -3*m - 2*u - 484922. Let a be (323282/m - -2)*103234. Let q = a + -1/2245. Calculate the common denominator of 5/28 and q.
252
Let j = -7/11889 + 25621/138705. What is the common denominator of -13/84 and j?
1260
Let a = -156/1081 + 142407/335110. What is the common denominator of a and -3/34?
5270
Let q(i) = 15*i + 5. Let u be q(-1). Calculate the least common multiple of ((-12)/(-5))/((-9)/225*u) and 16.
48
Let r = -102 + 91. Let s = r - -13. Find the common denominator of -93/10 and 5/60*s*-111.
10
Let i = 555/2 + -64933/234. What is the common denominator of ((-42)/13)/1 + 7 and i?
117
Let i(q) = q**2 + 3*q - 8. Let f be i(-5). Suppose 4*a + 80 = -v + 2*v, a = -f*v + 142. What is the lowest common multiple of v and 27?
216
Let k(j) = j**3 + 5*j**2 - 4*j + 4. Let u be k(5). Let q be -1*172/(-64)*u. Let o = 631 - q. What is the common denominator of o and -109/12?
24
Suppose 8*c - 11*c + 108 = 0. Suppose 2*b = -76 - c. Find the common denominator of (b/(-32))/((-1)/(-18)) and -99/2.
2
Suppose 9*p - 4*p - 1497 = -2*m, -4*m + 3018 = 2*p. Let z be 2/8*12062/4. Let h = z - m. Calculate the common denominator of h and 31/10.
40
Let z = -43 - -27. Calculate the lowest common multiple of (z/(-6))/(36/270) and 236.
1180
Let j be (-2)/26*(-39)/25363. Let r = j - 3221371/2282670. Calculate the common denominator of 41/40 and r.
360
Let b(a) = a**2 + 6*a + 21. Let p be b(-3). Suppose f = -v + 17, 15*v = p*v - 2*f + 50. Calculate the least common multiple of v and 40.
80
Suppose -l = 3*l - 12. Suppose 14*n - 40 = -6*n. Suppose -l*z - 3*d = -n*d - 30, -5*d - 40 = -4*z. What is the smallest common multiple of z and 14?
70
Let v = 183 - 96. Let u = 95/4 + -7. Find the common denominator of (1 - 6/(-3))*v/(-9) and u.
4
Suppose -8*w + 4*w - 4*q = -740, -4*w = 2*q - 730. Let a = -4636 + 180733/39. What is the common denominator of 2/12 + (-255)/w and a?
156
Find the common denominator of -3/65 and 7655/22100 + (-6)/20.
4420
Calculate the common denominator of ((-150)/(-225))/(-1 + 29/7) and (-25)/(1*((0 - 1) + 139)).
1518
Suppose -44*w = -59*w + 90. Let k = 4 - -3. Suppose k = 3*v + 1. What is the least common multiple of w and v?
6
Suppose -262*x + 52385 = -69445. What is the least common multiple of x and 4?
1860
What is the common denominator of 43/6 and 1 + 2 - 83741/29400?
600
Let f = 45370217/314866368 - -2/546643. Calculate the common denominator of f and -149/240.
2880
What is the common denominator of 2/25 - 10/((-22000)/1974) and 89/548?
6028
Let i(q) = -q + 1. Let l be i(-11). Let r be (-140)/((-10)/15 + (-4)/l). Let j = 529/4 - r. Calculate the common denominator of 101/8 and j.
8
Let r(k) = -43*k**2 + 6*k + 16. Let y be r(6). Let a = y + 12039/8. Find the common denominator of 60/(-58)*5/3 and a.
232
Calculate the smallest common multiple of (-47 + (-4257)/(-86))*54/5 and 51.
459
Let f = -147841/33468 + 2/2789. Calculate the common denominator of f and -41/261.
1044
Find the common denominator of 47 and -13 + (-6589)/(-495) + 1.
45
Let d(y) = -y**2 + 20*y - 16. Let a be d(19). Find the common denominator of (-220)/(-25) + 1 + 0 and a*6/(-45) + 38/6.
15
Suppose 0 = j - 0*j - 24. Let g(b) = 7*b**3 - 315*b**2 - b + 87. What is the smallest common multiple of j and g(45)?
168
Let n be ((-2844)/(-90))/(1 - (-9)/(-10)). Suppose -n - 148 = -29*y. What is the least common multiple of 16 and y?
16
Let o(r) = -7*r - 48. Let c(x) = -x**2 + 4*x + 24. Let s(h) = -5*c(h) - 3*o(h). Let v be s(0). What is the least common multiple of (7 + -3)/(1/(v/3)) and 8?
32
Let s = 82 + -26. Suppose -5*n + s = 2*n. Suppose -4 = -4*a + 4. What is the smallest common multiple of a and n?
8
Let n be ((-255)/(-63) - 4)/((-6)/1349299). Let c = 10717 + n. What is the common denominator of -79/33 and c?
198
What is the common denominator of 30/36*(-243)/(-180)*52/12 and 67/650?
2600
Let t = 31 + -40. Let q(j) = -6*j - 50. Let d be q(t). Suppose d = 8*p - 172. Calculate the smallest common multiple of 4 and p.
44
Suppose 13 = -2*j - 203. Let b = j + 154. Suppose 3*a + 5*n = 4*a + b, 4*a = -3*n - 115. What is the common denominator of a and -83/36?
36
Let z(r) = -r**3 + 13*r**2 - 13*r - 10. Let f be z(12). Calculate the lowest common multiple of (-2)/(-1) + 26 + f and 40.
120
Let w = -271 - -264. What is the common denominator of (2/4)/(w + 2608/372) and -57/8?
8
Let q = 7055/44 - 37849/220. Calculate the common denominator of q and (-5)/(-249)*3/4.
1660
Suppose -8*p = -73 - 23 - 24. What is the least common multiple of p and 3243?
16215
Let f = 1/109 + -11891/1090. Find the common denominator of 69/2018 and f.
10090
Let b = -39532/105 - -1887/5. Let z = 28365746 + -34889863867/1230. Let t = z - 106/41. What is the common denominator of t and b?
210
Let j be 6/(-465)*11105/(-12). Let f = -63882074/5690639 + 2/183569. Let q = f - j. Find the common denominator of q and 137/18.
18
Let x = 143 - 74. Suppose 2*j + 422 - 423 = 5*r, -2*j - 2 = -6*r. What is the lowest common multiple of j and x?
552
Find the common denominator of (-16)/(-24) - (-623)/(-964) and -91/2410.
14460
Suppose -9 = 3*m, b - 2*m = -4*b + 261. What is the smallest common multiple of 83 and b?
4233
Find the common denominator of 1502/(-480) - (-2)/5 and (-74)/40 - 1 - (-24)/30.
240
Let x be 3 + -2 + 237271/1368. Let d = 66742 - 1264806/19. Let g = x - d. Find 