542. Let k = v + 116383/12. Find the common denominator of k and (-754)/(-140) - (-2)/5.
84
Suppose -3*z = -2*q - 0*q + 25, 10 = 2*z. Let s = 20 - q. Calculate the common denominator of 31/2 and (-222)/(-60) + (-2 + s - 0).
10
Let z(n) = 3*n**3 - 9*n**2 + 9*n - 21. Let s be z(5). Suppose 0 = -2*l + 73 - 13. What is the smallest common multiple of 3 + (-3)/(-3) - s/(-6) and l?
330
Suppose -4*o = -4, 2*t - 7*t - 4*o + 19 = 0. Let d = -40/51 + -1817/306. Calculate the common denominator of d and (t/(-63))/((-12)/(-1782)).
126
Let x(b) = b**3 + 4*b**2 + 5*b + 4. Let q be x(-2). Let i be q + 2256/(-556) - -2. Let j = i - -5167/417. What is the common denominator of j and 27/10?
30
Let n = -4719 + 4723. What is the lowest common multiple of n and 486?
972
Let o(q) = 12*q - 30. Let z = 3761 - 3698. What is the smallest common multiple of o(10) and z?
630
Suppose -168*l = -5069 - 979. Let g(j) = 10*j - 2. Calculate the least common multiple of l and g(2).
36
Let i be (-15)/(-26)*517/(-33). Let y = 306/13 + i. Let a = 519/5 - 5779/55. What is the common denominator of y and a?
22
Let y(i) = 18*i**2 + 11*i - 10. What is the smallest common multiple of 66 and y(6)?
2112
Let d = -836 - -851. Calculate the lowest common multiple of d and 11.
165
Suppose 0 = -6*c + 49 - 30 + 35. What is the smallest common multiple of c and 8?
72
Let f = 2266 - 20422/9. Suppose 4*u + 790 = 5*x, 11*x + 206 = -u + 8*x. Find the common denominator of f and ((-690)/(-8))/1*8/u.
180
Suppose 404*z - 2*x + 8141 = 407*z, 2*x + 4 = 0. What is the least common multiple of z and 35?
19005
Let p be (-9)/18 + (21345/(-18))/(-5). Let i = -247 + p. Calculate the common denominator of i and 35/22.
66
Let r = -18 - 414. Let l = r + 1226/3. Let g = -32837 - -197113/6. What is the common denominator of l and g?
6
Let u = 10605173/1785 + -86932/15. Let k = -15238/5 + 101466/35. Let w = k + u. Find the common denominator of -81/2 and w.
34
Suppose -4*l + 5*o - 25 = 0, 4 = -2*l - 5*o + 29. Suppose -h = -l - 3. Let m(x) = x - 1. Calculate the smallest common multiple of m(h) and 11.
22
Suppose 9*a + 4554 = 342. Find the common denominator of ((-268)/(-15))/(-4)*351/a and ((-101)/(-8))/(11/(-4)).
220
Let q(k) = -64*k + 832. What is the smallest common multiple of 29 and q(12)?
1856
Let o = 334167641245 + -38094795449785/114. Let f = -2768852 + o. Let y = -2/57 - f. What is the common denominator of y and 25/7?
14
Suppose 3*w = 3*j - 39, -1057*j - 5*w = -1059*j + 29. Let g(h) = -3*h**3 + 3*h. What is the least common multiple of g(-3) and j?
72
Suppose 5*f = -2*z + 21, -f + z + 1 = 3*z. Let c(g) = -g**2 + 8*g - 13. Calculate the least common multiple of (4 - 0)*4/2 and c(f).
8
Let i = -15104 - -60329/4. Let o(j) = j**2 - 4*j + 1. Let x be o(3). Find the common denominator of x - -3 - 103/(-6) and i.
12
Suppose 100 = g + 31*f - 27*f, f + 75 = g. What is the lowest common multiple of g and 20?
80
Suppose 4*w - 7*s + 4*s = 126, 4*s + 8 = 0. Suppose -2*x = 3*o - 15 - 122, 2*x = -o + 47. Calculate the smallest common multiple of o and w.
90
Let w = 115441/27 + -4277. Let f be 4 + 2217/(-180) - 0. Let p = 35/4 + f. What is the common denominator of p and w?
270
What is the common denominator of 67/22 and (1/(-4704))/((-14)/(-28) - 105/213)?
25872
Suppose 0*p + 2*o = -3*p + 90, 2*p - 60 = 2*o. Let l(u) = 6*u**2 - 4*u - 5. Calculate the smallest common multiple of p and l(-1).
30
Let k(o) = -928*o**2 - 5*o - 49. Let d be k(-6). Let q be (6/8 - 0) + 2005403/(-60). Let x = d - q. What is the common denominator of x and 37/30?
30
Suppose 58*t - 68*t = 1990. Let y = t - -215. What is the smallest common multiple of 16 and y?
16
Let x = -26307 + 27854. Calculate the lowest common multiple of 357 and x.
4641
Let h be (-1 - -4 - 3) + (3 - 5). Calculate the common denominator of ((-444)/18)/(10/h) and -97/12.
60
Suppose 5*f - 395 + 70 = 0. Suppose 90 = 18*r + 12*r. What is the least common multiple of f and 903/172 - r/(-4)?
390
What is the common denominator of -35/8 and -8 - (2/(-12) + (-116334)/15120)?
280
Let n = -2492377/520 - -23968/5. Find the common denominator of n and (-11625468)/119392 + 98 - 1*(-2)/7.
104
Let s be -13 - -13 - 1521/22. Let r = 137/2 + s. Let l = -1578659/337194 + -1/15327. Calculate the common denominator of l and r.
22
Let r = -12256/3 + 73631/18. Calculate the common denominator of -7/7968 and r.
23904
Let b(p) = p**3 - 4*p**2 - 8*p + 4. Calculate the smallest common multiple of 2/(74/333) - -3 and b(6).
84
Suppose 523 = 2*d + 5*h, d - 269 = 7*h - 2*h. Suppose -d = -20*j + 8*j. Let t(v) = v**3 + v**2 - 3*v - 4. What is the lowest common multiple of j and t(4)?
704
Let s = -1213685/13 + 93443. Let t = -6933/91 + s. Calculate the common denominator of -28/83 and t.
581
Let l(y) = 308*y + 84. What is the lowest common multiple of 539 and l(1)?
4312
Let w be (0 - 164)*((-2)/(-4) + -1). Suppose 3*v + 20 = 5*v. What is the smallest common multiple of v and (-35)/(-84)*w - 1/6?
170
Let g = -127223/6 - -21186. What is the common denominator of -89/14002 and g?
42006
Let d = 100940412403926456657199/92248816227556750683402 + -2/5399637176458471. Let t = d + -2/123799. Calculate the common denominator of -67/66 and t.
1518
Let r(s) = 3 - 59 - 25 + s**3. Let d be r(0). Let i = -111/2 - d. Find the common denominator of i and -45/7.
14
Let m = -20 - -119. What is the lowest common multiple of (-78)/(-1287) - ((-28480)/33)/16 and m?
594
Let n = -6 + 1. Let m = 1807 - 39771/22. What is the common denominator of m and (5/(-11))/((-2)/n)?
22
Let z = -7 + 7. Suppose 2*u - 213 = i, 0*i + i + 1 = z. Let y = u - 74. What is the least common multiple of y and 4?
32
Suppose 5*n = 5*s + 5, 5*n = 4*s - 9*s + 25. Suppose 5*m = 4*a + 577 + 15, 5*m + n*a = 571. Calculate the lowest common multiple of 18 and m.
1044
Let h = -25803 - -32619. What is the smallest common multiple of h and 2556?
20448
Suppose 0 = 5*q + 25 + 1130. Find the common denominator of -29/50 and (-4)/(-1) - (q/(-40) + -3).
200
Suppose -56*m = -55*m + 2*z - 5, 3*m + 7 = 5*z. What is the common denominator of 74/35 and 5624/148*m*(-1)/154?
385
Let h = -252 + 321. Suppose -h = -5*b + 96. Calculate the smallest common multiple of 27 and b.
297
Suppose -2*n = 5*z - 112, 0 = 5*n + 5*z - 3*z - 238. Let l = -19 - 21. Let x = n + l. What is the least common multiple of 10 and x?
30
Let h = 7329311/1456 + 35485/91. Suppose 4*f - 5*u + 21669 = -0*f, -4*u = 5*f + 27117. Let m = f + h. What is the common denominator of -133/18 and m?
144
Let c be (-8)/18 + 3163/9. Suppose -l - 38*l = -c. Let u(v) = v**3 + 5*v**2 - 7*v - 3. What is the lowest common multiple of u(-6) and l?
9
Suppose 235*q - 225*q = 3*i + 807, 3*q - 244 = -i. What is the smallest common multiple of 2/(4/126) + 0 and q?
567
Let a = -26838 - -1502877/56. Let t = 13963/70 + -1037/5. Find the common denominator of a and t.
56
Let k be 2/4 + (4 - 13122/(-12)). Suppose 0 = 7*c - 764 - k. Let l = c - 11464/43. Calculate the common denominator of -17/3 and l.
129
Let z be 28/7 + (368 - -6). Suppose r - 22*r = -z. What is the smallest common multiple of r and 6?
18
Let p = -77/13 - -797/117. Find the common denominator of p and 25/958.
8622
Let q(l) = -l**3 + 4*l**2 - 3. Suppose -n - 30*n = -124. Let r(v) = -v**2 + 8*v - 8. What is the least common multiple of r(n) and q(3)?
24
Let z = -1555/1092 + -5/1092. Find the common denominator of z and 73/28.
28
Let y(z) = z**2 + 2*z - 10. Let d be y(-10). Let g = 72 - d. Find the common denominator of 39/11 and g + 2 + 335/(-45).
99
Let a(b) = 6049*b + 189. Let j be a(6). Let g = -1641827/45 + j. Calculate the common denominator of 31/25 and g.
225
Suppose 412 = -2*u - 2*u. Let j = -136481/18 + 7580. Calculate the common denominator of j and (-3 - -1) + u/10.
90
What is the least common multiple of 144 and (8176/(-365))/((-2)/15)?
1008
Suppose -129 = 35*q - 36*q - 5*l, -5*l - 25 = 0. Calculate the least common multiple of 99 and q.
1386
Suppose 873335 = 150*g + 36935. Calculate the lowest common multiple of g and 187.
61336
Let y = -549069121/22040 - -124562/5. Calculate the common denominator of y and -67/18.
39672
Let a = 504977/24 - 21038. Find the common denominator of a and -149/24.
24
Suppose 50*v - 79621 - 39979 = 0. Calculate the lowest comm