Let f = 1/9993 + -789463/159888. Suppose 2*g - 200 = -2*g. What is the common denominator of (g/6)/(56/(-42)) and f?
16
Suppose -4*i - r + 65333 = 0, -5*r = -2*i + 7*i - 81655. Let v = i - 539062/33. What is the common denominator of v and 13/15?
165
What is the common denominator of (-115)/14*((-39)/12)/13 and -33/14?
56
Let u = 2062226 - 20592813/10. Let d = -2942 + u. Calculate the common denominator of d and -87/16.
80
Suppose 11 = -2*h + 35. Suppose h = 4*o - o. Suppose -2*k - 3*d = -30, o*k + 0*d = -3*d + 66. What is the least common multiple of k and 10?
90
Suppose 65*r - 61*r - 72 = 0. What is the smallest common multiple of 32 and r?
288
Let o = 39/1499983 + -604349151685/40499541. Let z = -14920 - o. Calculate the common denominator of z and 52/7.
189
Calculate the common denominator of ((-15)/2)/(1*2) and ((-2570)/160 - -16)/(2*(-4)/(-66)).
64
Suppose -5348*y + 5337*y + 1287 = 0. Calculate the lowest common multiple of 312 and y.
936
Suppose -2*d - 6 = -16. Suppose -5*l = -3*t - 0 + 32, -5*t + 40 = d*l. Suppose -13*y + t*y + 8 = 0. What is the smallest common multiple of y and 10?
10
Let b = -3/20066 + -551689/842772. Find the common denominator of 31/72 and b.
504
Let v(r) = r**3 - 10*r**2 - 11*r - 24. Let l be v(10). What is the common denominator of (l/4)/(-1) + (7 - 10) and -49/2?
2
Let l = -1623 - -6563/4. Calculate the common denominator of 1/(-6)*(4318/323 - 17) and l.
76
Calculate the lowest common multiple of 27 and 4 - (4 + -16 - -7).
27
What is the common denominator of 55/2 and 3/21 - 1/(2646/2681)?
54
Let a(l) = -l**3 + 2*l**2 + 2. Let m be a(2). Let d(b) = b**3 + b**2 + 2*b. Let x be d(m). Calculate the common denominator of 52/9 and 3 - 3 - (-18)/x.
72
Let f(k) = -29*k - 185. What is the least common multiple of f(-7) and 106?
954
Suppose -3*l - l + 180 = 0. Let h = l - 65. What is the common denominator of 17/6 and -11*1*h/(-32)?
24
Let i = -501 - -507. Suppose 3*m = -0*m - 2*s + 176, 3*s = -6. Calculate the least common multiple of m and i.
60
Let c = -36968 + 5286459/143. Calculate the common denominator of c and -44/117.
1287
Let j = -2/8647 - 337195/164293. What is the common denominator of 62/21 and j?
399
Let r be ((-16)/477)/(14/(-357)). Let b be (-4)/530*151010/(-168). Let z = r - b. Find the common denominator of z and 11/16.
112
Suppose 14*l - 695 = 9*l. Let x = l - 203. Let w = x - -417/7. Calculate the common denominator of w and 77/6.
42
Let a be (19/((-380)/24))/((-2)/300). Suppose 0 = -5*q + 5*x + a, -3*q - 4*x + 2 = -85. Calculate the lowest common multiple of q and 33.
33
Let v(h) = h**3 + h**2 - 7*h + 8. What is the least common multiple of 1*(-3)/(-1 + -2) and v(2)?
6
Let g = -3470 + 24344/7. What is the common denominator of g and (6/10)/(2/(-37))?
70
Let r = -812 + 824. Calculate the smallest common multiple of r and (-8)/(-3) - 4/6.
12
Let x(w) = -35*w - 10. Calculate the least common multiple of 12 and x(-2).
60
What is the lowest common multiple of (-36)/96 - (-105)/24 and 11?
44
Suppose u - 16 = 4*d, -18 = -5*u + 4*d - 2. Let k be 4/(-16676) - u - 0. Let o = k - -18951/4169. Find the common denominator of -31/8 and o.
88
Let g = 272277/11 + -24707. Let m = g - 6971/187. Let q = -4293/340 + m. Find the common denominator of 101/10 and q.
20
Let u = -28205 - -2369251/84. Calculate the common denominator of -113/84 and u.
84
Let d(s) = 2*s**3 - 3*s**2 - s + 2. What is the least common multiple of d(2) and (-332)/(-16) - (-12)/(-16)?
20
Let i be 15/(-6)*2*-5. Suppose -2*a - i = -7*a. Let u(r) = r**3 - 18*r**2 + r - 7. What is the smallest common multiple of u(18) and a?
55
Let x = 2865/4 - 728. Calculate the common denominator of x and 34/1269.
5076
Calculate the least common multiple of 266/2*((-10 - 4) + 16) and 38.
266
Let y = -181151/16 - -11317. Find the common denominator of -59/36 and y.
144
Let f = 6384 + -102181/16. What is the common denominator of f and 23/26?
208
Let a be 2/8 + (-1391)/(-4). Calculate the common denominator of 3/8 - a/(-32) and 3/40.
40
Suppose 5*y + 2250 = 30*y. Calculate the least common multiple of 27 and y.
270
Let k = 7932269/7158 + -6649/6. Let j = 96641/4772 - k. Calculate the common denominator of j and 14/(-77) - 248/(-33).
12
Calculate the common denominator of 76/(-130)*2*20/128 and (-6)/9 + (-1220)/(-192).
208
What is the least common multiple of 0 + -1 + (5 - 4)*9 and 385?
3080
Let x = -338 + 357. What is the lowest common multiple of 28/(-2)*(-1)/2 and x?
133
What is the smallest common multiple of 0 + 11 - 9/(-9) and 8/(12/6) + -5 - -13?
12
Let o = -3335/6 - -557. Find the common denominator of (-7)/(196/8) + 34/168 and o.
12
Let k(q) = -7*q**3 - 3*q**2 - q + 1. Calculate the least common multiple of k(-1) and 3.
6
Let y(f) = 441*f**2 - 6*f + 9. Let d be y(6). Let l = -348585/22 + d. Find the common denominator of (0 + -1)*68/56 and l.
154
Let f(j) = -j**3 + 6*j**2 + 2*j - 6. Let v be f(6). Let k = v - 3. Find the common denominator of -119/6 and 84/(-16) - k - 1.
12
Calculate the least common multiple of 44 and (-80)/(-180) + (8320/18)/4.
1276
Let h be ((-40)/(-15) - -2)*6. Let i be (-49)/h*59/37. Let v = -20/37 - i. Calculate the common denominator of v and 115/12.
12
Suppose 4*t = -309 + 333. Calculate the least common multiple of t and 6.
6
Let l = -7 - -11. Let b(w) = 6*w**2 - 4*w + 1. Let s be b(-2). What is the lowest common multiple of (1 + 10/(-6))/((-1)/s) and l?
44
Let a be 61 + (3 - 0 - 4). Suppose -2*d = -7*d + a. What is the lowest common multiple of ((-8)/(-5))/(2/10) and d?
24
Let i(y) = -y**3 + 4*y**2 + 2*y + 4. Let l be i(4). What is the smallest common multiple of 4/(l/27) - 1 and (3 + 0)/((-18)/(-36))?
24
Calculate the common denominator of (53/165)/((-318)/795) and 26/11.
66
Let k be (-3426)/(-39) - 6/(-39). Suppose 0 = 9*f + k - 268. What is the smallest common multiple of f and 28?
140
Let c = 8628 - 172643/20. Let x = 9250/3 + -185201/60. Find the common denominator of x and c.
20
Let h be (-16)/((-14)/(-3) - 4). What is the common denominator of -56/33 and 153/h + -3 + -1?
264
Let q(p) be the first derivative of -31*p**4/4 + p**2/2 - 3. Let w be q(-1). Let u = w - 10. Calculate the lowest common multiple of 16 and u.
80
Let p = -20356/13 + 1567. Suppose -3*z + 0*y = -2*y - 1, 0 = 5*z - 3*y. Calculate the common denominator of (-3)/(-12)*68/z and p.
39
Suppose -5*p + 1 = 4*c, 3*c = -3*p - 2 - 1. Let v be 3*(2 + 4/c). Let a(d) = d**3 - 3*d**2 + 4*d - 10. Calculate the least common multiple of a(v) and 22.
22
Let x = 48 + -38. Let p(i) = -i**3 + 10*i**2 + 2*i - 11. What is the smallest common multiple of p(x) and 5?
45
Let p = -232 + 239. Calculate the least common multiple of p and 158.
1106
Let s(h) = 4*h + 3. Let t be s(-3). Suppose 0*l - 45 = -3*l. What is the least common multiple of ((-84)/t)/(10/l) and 34?
238
Let w = 95 + -134. Let b = -69 - w. Find the common denominator of 3 - -1 - (-243)/b and 137/18.
90
Let z = -23 - -26. Suppose -38 = -z*b - 8. What is the lowest common multiple of b and 10?
10
Let r = 2466331 + -29567189/12. Let j = r + -2410. Calculate the common denominator of j and -107/78.
156
Let n(x) = x**3 - 8*x**2 - 7*x + 3. Let c(m) = -m**3 + 7*m**2 - 4*m + 37. Calculate the smallest common multiple of n(9) and c(7).
63
Let x = 302501/3944 + -1300/17. What is the common denominator of x and -41/116?
232
Let h(r) = 13*r**2 - 7*r. Let f be h(-5). Calculate the common denominator of 3/(-12)*f/44 and 46/9 - 5/(-10).
198
Let a(o) = 21*o**3 + 9*o**2 + 6*o + 16. Let b be a(-7). Let c = b + 54379/8. What is the common denominator of c and (-8)/(-10) + (-1)/(-4)?
40
Let a be 2 - ((-24)/18)/(370/(-531)). Let m = a - -149/74. Find the common denominator of 38/7 and m.
70
Let b = 3 + -1. Suppose -7*p - b = -6*p. Calculate the common denominator of -12/7 and 2/5 + (-15)/p.
70
Let d = 45000757/7755 + -63832/11. What is the common denominator of 55/24 and d?
5640
Suppose q + 4*q - 5330 = 0. Let i = q + -11672/11. Calculate the common denominator of -89/6 and i.
66
Let m(s) = -s**3 - 33*s**2 + 30. Calculate the least common multiple of m(-33) and 126.
630
Suppose 4*w + 27 = w. Let t = w - -59. What is the least common multiple of t and 22?
550
Suppose -2*z + 3*f + 295 = 106, z - 91 = 5*f. Let q = z + -2797/30. Find the 