3*w + 4390. Calculate the least common multiple of 45 and w.
13140
Suppose 3*h = -t + 5, -4*h + 9*h = -t + 7. Let q(c) = 10*c**3 + c**2 - 1. Let u be q(h). What is the common denominator of -11/2 and (43/u)/((-3 - -2)/1)?
10
Let i = -3626123/80 - -45325. Find the common denominator of ((-2)/(-4))/((-10)/(-21)) and i.
80
What is the common denominator of (-1)/2*-1*(213745/(-6875) - -31) and 71/375?
4125
Calculate the lowest common multiple of 358 and (-26)/(-3) + 1 + 688/(-24) + 29.
1790
Let j = 11651/12 + -969. Let b = -669957311/18 - -37190426. Let i = -29417 - b. What is the common denominator of i and j?
36
Let z(m) = -m**3 - m**2 + 7*m + 4. Let a be z(-3). What is the common denominator of ((-212)/(-24))/(1 + 76/(-8)) and ((-78)/27)/a - 2?
153
Suppose -6*v + 13 = 1. Suppose -3*m - v*u = -13, 3*m + 2*u = m + 6. Let c(a) = a**2 - 12*a + 40. What is the lowest common multiple of 1 and c(m)?
5
Let c = -561 + 1732/3. Calculate the common denominator of (-38)/4*(24/162)/(-2) and c.
27
Let s be (3 + 3 + -4)/((-5)/25). What is the lowest common multiple of s/(-15) - 82/(-3) and 8?
56
Let t(h) = 50*h**2 + 71*h + 58. What is the smallest common multiple of 1 and t(22)?
25820
Let u = -29255861/7070 - -396816/101. Let i = 1476/7 + u. Find the common denominator of i and -65/654.
3270
Let t = -5782 + 156128/27. Calculate the common denominator of -17/1662 and t.
14958
Let u(o) = 5*o - 15. Let r be u(3). Suppose 6*l - 10*l - 28 = r. What is the common denominator of 45 and 63/(-33) - (l - -4)?
11
Let q be 1/8*4 + (-160535)/(-23). Let u(f) = 994*f + 22. Let h be u(7). Let x = h - q. Find the common denominator of 26/11 and x.
506
Let m(p) = -2*p**2 - 18*p + 53. Let g(n) = -3*n**2 - 18*n + 54. Let f(v) = -4*g(v) + 5*m(v). What is the lowest common multiple of 3 and f(8)?
33
Let t = 185/2 - 727/8. What is the common denominator of (-61)/(-366)*(-87)/(-16) and t?
32
Find the common denominator of 47/20 and (4875/276)/(-5) - 69/(-23).
460
Find the common denominator of 79/612 and (-2)/6 - (264500/(-13056) - -20).
9792
Suppose 3*y + 5*q = 168, -4*q = 4*y - 5*y + 39. Let a = -17 + y. What is the lowest common multiple of a and 4/6 - 256/(-48)?
102
Suppose 210 = -1716*t + 1737*t. Let b(p) = 577*p - 1. Calculate the lowest common multiple of b(1) and t.
2880
Let z = 50 - -41. Let m = z + -87. Calculate the least common multiple of m and 5.
20
Suppose -2 = 2*o, 5*o + 8 + 15 = -2*s. Calculate the common denominator of (-36)/408*(-155)/s and -5/14.
714
Let j be 9 + 8/12*-6. Let h be (j/1 - 3) + 27644/14. Let u = 360429/182 - h. Find the common denominator of -83/18 and u.
234
Let n(v) = v**3 - 4*v**2 + 51*v. Calculate the smallest common multiple of n(7) and 56.
504
Calculate the common denominator of 91/495 and (57/462)/(145/(-58)).
3465
What is the smallest common multiple of 451 and (-47256)/(-96) - 5/20?
5412
Let c be (21/4)/(7881/13064). Let f = c + -1777/370. Calculate the common denominator of f and -14/19.
190
Let t(m) = m**2 + m - 20. Let n be t(-6). Suppose n = -3*y + 13. Find the common denominator of 5/6 and (y - 2) + -3*57/84.
84
What is the common denominator of (116/40 + -3)*(-2035)/231 and 91/16?
336
Let t be (-1)/3 - 0 - 354/18. Let d = t + 23. Calculate the common denominator of (-23)/(-234) + (d - (-246)/(-78)) and -89/2.
18
Let y = 37/84 - -1103/420. What is the common denominator of y and (-11)/(198/(-453))*(-6 + (-138)/(-24))?
120
Let g be -6*(-3)/81 - (-136)/36. Suppose n - 3 - 10 = m, g*n - 31 = -3*m. Calculate the least common multiple of -6*(14/4 - 4) and n.
30
Let l = 988431/28 - 35305. What is the common denominator of 11/2260 and l?
15820
Find the common denominator of (39/(-8))/(10/8) and (1*1/(-10))/(66/348).
110
Suppose 10*v + 3485 = -2345. Let q = v - -593. What is the lowest common multiple of 436 and q?
2180
Let f = -436 - -631. Let z = f + -176. What is the least common multiple of z and 6?
114
Calculate the common denominator of -41/285 and ((-19760)/(-89604))/(16/12).
37335
Let y = -214 - -216. Suppose -y*l - 4 = 2*p - 24, 0 = -4*l + 5*p + 58. Calculate the smallest common multiple of l and 9.
36
Calculate the common denominator of 270/(-150)*8/579 and -79/772.
3860
Let x = -1787255/955949 + 2/41563. Let l = 12 + -10. What is the common denominator of x and (-369)/(-45) - l/(-4)?
230
Suppose 32*d - 4 = 30*d. Suppose -d*v = -b + 45, 6*v - 11*v + 180 = 4*b. Let f(o) = -10*o**3 + o. Calculate the lowest common multiple of b and f(-1).
45
Let u = -207 + 213. What is the common denominator of 186/252*(u - 7) and 19/21?
42
Let o = -422167 - -230503289/546. Calculate the common denominator of 51/8 and o.
2184
Suppose -d + 0 = -4. Suppose 0 = 5*n - 3*t - 408, 60*n = 64*n + 2*t - 344. Calculate the least common multiple of n and d.
84
Suppose 6*m = -3*k + 364 - 130, -m - 5*k = -30. What is the lowest common multiple of 2820 and m?
5640
Let l = 441 - 401. Suppose 5*i + 3150 = l*i. What is the least common multiple of 18 and i?
90
Suppose 25*r - 4 = 27*r. What is the lowest common multiple of ((-10)/1)/2 - (-11 + r) and 32?
32
Suppose 0 = -2*h - 12*l + 14*l + 40, 5*h - l - 104 = 0. Calculate the lowest common multiple of h and 1.
21
Let p = -352/45 - 1561/90. Find the common denominator of p and 29/((-76908)/39185) - -14.
156
Let b(v) = 2*v**3 + 11*v**2 - 8*v + 4. Let s be b(-6). Let r be (-1176)/s - (-6)/4. Calculate the common denominator of (-54)/r + 194/(-16) and -99/8.
8
What is the least common multiple of 33*(16/(-72))/((-8)/120) and 20?
220
Let c = 1211465/1350089 + 688/1937. Let z = c + -27307/16728. What is the common denominator of -79/4 and z?
408
Suppose -4*u = 5*u + 36. What is the common denominator of -2 + u + (-264)/(-54) and 67/27?
27
Let w(o) = 4*o**2 - 55*o + 196. What is the least common multiple of 1440 and w(4)?
1440
Let s = -127 - -145. Suppose 30 = 4*y - 186. Let h = y - 32. What is the smallest common multiple of s and h?
198
Let k be 24/63*2018/8. Let f = k + -670/7. Find the common denominator of f and -8/3.
21
Let m(f) = 6*f + 107. Let q be m(28). Suppose -272*n - 36 = -q*n. What is the lowest common multiple of 11 and n?
132
Let v(n) = 47*n**2 + 8*n - 3. Let z be v(3). Suppose 2*r = 716 + z. Let h = -5707/10 + r. Find the common denominator of h and 81/14.
70
Let s = 160 + -138. Calculate the smallest common multiple of 412 and s.
4532
Let j = 1176509/120 + -9804. What is the common denominator of j and 79/600?
600
Let g(x) = x**3 + 11*x**2 - 44*x - 8. Let c = 29 - -5. Suppose c = 7*r - 204. Calculate the least common multiple of r and g(-14).
340
Suppose -2*p + 78 = -l, -3*p + 77 = -l - 40. Calculate the lowest common multiple of (-5)/(4/(-72) - 0) and p.
1170
Suppose 8*f - 11*f + 126 = 0. Find the common denominator of (81/f)/(20 + -18) and -47/30.
420
Let r = -1441 + 1585. What is the smallest common multiple of r and 4?
144
Suppose 0 = -8*p + 13*p + 2*m + 25, -p = 2*m - 3. Calculate the least common multiple of 69 and (156/p)/(26/(-91)).
1794
Let s be -4 - ((0 - -22) + 6 + -4). Find the common denominator of (s/245)/(6/(-145)) and 1 + 139*(-2)/(-60).
210
What is the common denominator of ((-6)/9)/(60/109) and ((-31)/(-6))/(-6 - -18)?
360
Suppose 2*s = -5*t + 10, -8*s = -3*s - 2*t + 4. Suppose s = -3*w - 42 - 243. What is the common denominator of 95/14 and (w/(-165))/(1/3)?
154
Let w = 107/21 - 719/126. What is the common denominator of -89/1665 and w?
3330
Suppose -247 - 41 = 3*o. Find the common denominator of 0 + o/50 + 50/125 and 33/85.
425
Suppose -10 = -d + 10*q - 13*q, 5*q = -2*d + 18. What is the lowest common multiple of ((-568)/6)/(-1)*3 and d?
284
Suppose 79*r - 3570 + 252 = 0. What is the lowest common multiple of 126 and r?
126
Suppose 0 = h - 4*l - 19, 5*l + 0*l = 4*h - 65. Let s = -14442 - -73303/5. Let k = -12118/55 + s. What is the common denominator of k and h?
11
What is the smallest common multiple of 740 and 74*168/16*4/14?
2220
Let s = -15788 + 2557661/162. Find the common denominator of -89/378 and s.
1134
Let l be 3/(-60)*(-25899890)/(-28). Let t = 46251 + l. Calculate the common denominator of t and 65/2.
56
Let m be (-3)/(-9)*0 + (-212337)/(-312246). Let d = m + -20/209. Calculate the common denominator of d and -57/20.
1660
Suppose -120*g = -115*g - 270. What is the lowest 