et t(h) = h**2 - 6*h. Let i be t(6). Find the common denominator of (-4)/10*(18975/(-308))/(-15) and (-77 - i)/(-18 - -2).
112
Find the common denominator of 137/18 and (-9)/((-567)/(-14)) + (-893)/72.
72
Let t = -6 - -4. What is the common denominator of (1082/84 - 14/(-49)) + 1 and 49/18 + t/(-6)?
18
Suppose -23*v + 28*v + 2375 = 0. Find the common denominator of -1 + v/30 - 1 and 99/20.
60
Let w(h) = -h**2 - 37*h - 36. What is the lowest common multiple of w(-33) and 24?
96
Suppose 43 + 40 = -2*m + 3*u, -2*m = u + 79. What is the smallest common multiple of 52/14 - 2/(-7) and 4 - 7/(7/m)?
44
Let x = -625226/1031 - -8499722751/13994794. Let c = x - -20/617. Find the common denominator of 49/12 and c.
132
Let v = -4814 + 28913/6. Let z be (46/20)/((-2)/(-8)). Let q = z + 2/5. Calculate the common denominator of v and q.
30
Let y(t) = 5*t**2 - 53*t + 18. Calculate the smallest common multiple of y(11) and 344.
1720
Let v = -4/625 - 58061/10000. What is the common denominator of ((-478)/(-240) + -2)*(-229 - -3) and v?
240
Let c = 313/150 + -98/25. Let b be (3 - 2)*(12 - 3). What is the common denominator of ((-68)/(-12))/(2 - 14/b) and c?
12
Suppose -30 = -4*c + c. Let z = c - 4. Calculate the common denominator of -67/10 and 71*((-12)/4)/z.
10
Let s = -9/424 - -13277/1272. Find the common denominator of s and 2/50*(-4180)/(-132).
60
Let a be 3/(-9) + -1 - (-21)/9. What is the common denominator of a*((-820)/24)/5 and -53/4?
12
Let p(s) = -s**3 + 8*s**2 - 13*s + 5. Let j be p(6). Find the common denominator of 278/60 + (-2)/(-3) and ((-1647)/(-66))/(-9) + (-1)/j.
110
Suppose -p + 32 = 3*p. Suppose 0 = 2*k - 2*h + 4, k + 2*h + 17 = 0. Let f = 13 + k. Calculate the least common multiple of p and f.
24
Calculate the smallest common multiple of (-5 - -2)/(6/(-100)) and 40.
200
Let m be 2*(-2 + (3 - 0)). Suppose -1078 = y + 4*v, 4*y + m*v + 3*v = -4345. What is the common denominator of y/24*10/25 and 43/3?
6
Let v = 1614 - -346. Let u = v + -23563/12. Calculate the common denominator of u and 1/4.
12
Calculate the lowest common multiple of 24 and -770*(-5)/10 - (0 + -2).
3096
Suppose 0 = 7*u + 3*u + 900. Calculate the common denominator of (-732)/u - (-12)/18 and 13/19.
95
Let c = -2 + 6. Let z(x) = -x**2 + 11*x - 8. Let g be z(9). Let p(h) = 4*h - 22. Calculate the lowest common multiple of p(g) and c.
36
Let s be 2 + (-36)/45*(-345 - 0). Find the common denominator of 71/36 and s/(-9)*3/(-4).
36
Let w = -794 - -824. What is the smallest common multiple of w and 192?
960
Let j = 1280 - 1272. Suppose 5 = -w, 4*x - 3*w + 0*w - 31 = 0. Calculate the smallest common multiple of j and x.
8
Suppose 5*b = -z + 79 + 7, 5*b - 5*z = 110. Suppose 4 + 16 = 2*q. What is the smallest common multiple of q and b?
90
Calculate the common denominator of 2637/(-12600) + (-1)/7*2 and 23/225.
1800
Let y = 14 + -14. Let p be (-568)/(-290) + -2 + y. Let g = p + -18959/870. Find the common denominator of 15/4 and g.
12
Suppose 5 = m + 4. What is the common denominator of 309/36 - m/2 and 47/8?
24
Suppose -3*p - 44 = 46. Let m be 40/(-6)*(-36)/p. What is the common denominator of 75/(-26)*m/(-24) and 119/12?
156
Let x = -552 + 604. What is the smallest common multiple of 72 and x?
936
Let o = 114579/14 + -8188. Let y = -33545/14 + 2399. What is the common denominator of y and o?
14
Calculate the common denominator of -103/22 and ((-3)/(-216))/((-16)/(-3424)).
396
Let w(p) = p**2 + 14*p + 12. Let s be w(-9). Let i = 34 + s. Calculate the least common multiple of i and 3.
3
Let t = -80 - -71. Let z(w) = 5*w - 6. Let o be z(7). Let r = o + t. What is the least common multiple of r and 12?
60
Let k(n) = -n - 1. Let p = 1 + -4. Let a be k(p). Find the common denominator of 1/a - 38/(-6) and 57/2.
6
Let y = 3 + 0. Calculate the common denominator of -51/23 and (-4)/y*(-96)/18.
207
Let u be (-2)/10 + 12496/(-480). Let x = u + 95/6. Calculate the common denominator of 91/2 and x.
10
Let s(y) = -7*y**2 + 3*y - 3. Let a be s(2). What is the common denominator of 1/(2/(-63)) + -1 and -1 + 0 - 5/a?
10
Let n be ((-2)/6)/(3/(-1347)). Let a = n + -5026/33. What is the common denominator of a and 87/8?
88
Suppose 2*s = -3*a - 13, -s - 3*a + 4*a = -1. Let y be (6 + -5)/((-2)/(-108)). What is the common denominator of s/(-9) + (-1353)/y and 81/16?
48
Let q = 4535/6 - 1217/2. Let m = q + -170. Find the common denominator of (-76)/51 - (-1)/6*-2 and m.
51
Suppose 6*a - 548 + 476 = 0. What is the least common multiple of a and 12?
12
Let b = 10/423 - -20989/846. What is the common denominator of b and 28/9?
18
Suppose 5*u = u. Suppose u = -7*m + 2*m - 1350. Find the common denominator of -31/4 and (-4)/80*m/4.
8
Let z = -31173 + 31215. Calculate the least common multiple of ((-4)/3 - 1)*-9 and z.
42
Let g = -2731878 - -81970117/30. Let o = 1384/3 - g. Calculate the common denominator of 278/(-12) - 6/(-9) and o.
10
Find the common denominator of -11/140 and -3*(-5)/(-20)*327/(-252).
560
Let f = 724/9 + -1667/18. What is the common denominator of f and -27/2?
6
Let r = 34 + -27. Let n(y) = -y**2 + 8*y - 3. Let x be n(7). Suppose 0 = x*u - 4*b - 20, -2*u - b + 13 = 3. Calculate the smallest common multiple of r and u.
35
Let q = 7/66 - 36/11. Let n = -17357/744 + -1/248. What is the common denominator of n and q?
6
Suppose 857*q - 862*q = -15. Suppose -7*c = -2*c - 165. Let z = c + -22. Calculate the smallest common multiple of z and q.
33
Calculate the common denominator of 143/180 and (6 - (-2612)/(-792)) + -2.
1980
Suppose -d + 4*l = 5, 3*d = 4*d + 5*l - 4. What is the common denominator of (-1 - (-169)/45) + d/5 and 57/35?
315
Suppose -3*a + 6*a - 30 = 0. Suppose 0*p = -5*p + a. Suppose -p*n = 5*h - 167 + 59, 5*h = 5*n + 80. What is the lowest common multiple of h and 4?
20
Suppose h = -4*h + 255. Let b = h - 41. Calculate the smallest common multiple of 10 and b.
10
Let i = -16 - -8. Let y(o) = -o**3 - 8*o**2 - o. Suppose 3*v + 14 = t, 4*t + v + 15 = 45. Calculate the smallest common multiple of y(i) and t.
8
Suppose 2*p + j = 728, 2*p - 728 = 4*j - 2*j. Calculate the smallest common multiple of p and 22.
4004
Calculate the common denominator of -97/14 and 0 - (-4 + 5)/(-21).
42
Suppose 4*c = -1 + 37. Let t = 35 + -56. Let h(l) = -l - 20. What is the lowest common multiple of h(t) and c?
9
Let p(m) = m**2 + 9*m - 7. Let g be p(-5). Let d be (-3)/1 - 1*g. Calculate the common denominator of -113/10 and 17/(-68)*302/d.
240
Let g = 4 - -5. Let l be (g*1)/(6/(-28)). Let u = -28 - l. Calculate the lowest common multiple of 10 and u.
70
Calculate the common denominator of (-5*(-352)/20)/(-2) and 125/48.
48
Let c be (6/9)/((-4)/12). Let h = 22285/6 + -3691. Calculate the common denominator of h and ((-11)/6)/(c/(-18)).
6
Let b(o) = -o**3 - o + 1012. What is the least common multiple of b(0) and 10?
5060
Let n = -3481/74 + 94/37. Let b = 94080 - 374183/4. Let j = b + -530. Find the common denominator of j and n.
4
Let o be (-452)/(-530) + 10/(-25). Let n = o - -5143/1166. Calculate the common denominator of n and 119/24.
264
Let s = -44 - -12. Calculate the common denominator of -6 - -2 - 600/s and 0 - (-1)/((-36)/(-231)).
12
Suppose 5*t - 5*u + 395 = 0, 4*t - 55 = 5*u - 370. What is the common denominator of ((-26)/4)/((-22)/(-4)) and (8/t)/((3/3)/(-28))?
55
Let l(c) be the first derivative of c**4/4 + 4*c**3/3 + 3*c**2/2 + 2*c + 24. What is the lowest common multiple of 12 and l(-2)?
12
Let z(a) = a**3 + 19*a**2 - 42*a + 30. What is the least common multiple of 16 and z(-21)?
240
Let g(k) = k**3 + 17*k**2 - 38*k + 30. What is the smallest common multiple of g(-19) and 6?
30
Find the common denominator of 26/9 and (175/20 - 5)*2/183.
1098
Suppose 32 + 20 = 13*w. Suppose -w = 7*r - 9*r. Calculate the least common multiple of 2 and r.
2
Let p = -239 - -255. What is the lowest common multiple of 52 and p?
208
Let f be 0 - (-2 - 314/(-80)). Let m = -92629/112520 + -5/2813. Let n = f - m. Find the common denominator of n and 27/4.
20
Let t be 4/14 - 50642/(-84). Let w = t + -588. Let n = 335021/10 + -33507. What is the common denominator of n and w?
30
What is the least common multiple of 20 and -6*52/(-48) + (-2)/4?
60
Suppose -b - 45 = -6*b. Suppose -35 = 8*l - 3*l. Let q = l + b. Calculate the