 n = 199 + -217. What is the common denominator of ((-912)/n)/(-2) + 0 and -17/6?
6
Let b be 168/196 + (-8604)/(-7). Calculate the common denominator of -81/20 and b/(-360) - (-4)/(-6).
60
Suppose -11*r = -35*r + 360. Suppose -11*z - r = -48. What is the lowest common multiple of z and 8?
24
Let t(o) = -o**2 + 3*o + 18. Let w be t(6). Suppose w = -13*q + 16*q - 6. Calculate the lowest common multiple of q and 218.
218
Let i(u) be the third derivative of -57*u**6/10 - u**4/12 + u**3/6 + 20*u**2. Let v be i(1). Let p = 39721/58 + v. Find the common denominator of 109/14 and p.
406
Let j be ((-96)/40)/((-4)/(-30)). Let o = 22 - j. Let v = 50 - o. What is the lowest common multiple of v and 2?
10
Let m = 90441 - 4974217/55. What is the common denominator of m and (-3*2)/(40/74)?
110
Suppose 2*g + 4*m = 0, g - 10 = -2*m + 5*m. Suppose -2*h = n - 12, -g*h - h + 25 = 5*n. What is the smallest common multiple of 6 and h?
42
Suppose j - 62899 = 5*x - 3*j, 1 = j. Let w = -201333/16 - x. What is the common denominator of -15/32 and w?
32
Let s(u) = -10*u**2 + 5 + 261*u**3 + 10*u - 527*u**3 + 267*u**3. Let o be s(5). Find the common denominator of o/(-119)*(-31)/12 and 61/14.
714
Suppose 63*r = 60*r + 1698. What is the common denominator of (-518)/(-12) - 2/3 and r/96 - (6 - -1)?
48
Suppose 10*u + 21 = 71. Suppose u*c = 5*x + 31 - 11, 12 = -c + 5*x. Calculate the smallest common multiple of c and 30.
120
Let b = -164 + 183. Suppose m - b = 13. Calculate the lowest common multiple of 2 and m.
32
Let u(k) = -k**2 - 58*k + 315. What is the least common multiple of 252 and u(0)?
1260
Suppose 6*x - 117 = -l + 4*x, 2*x = -4*l + 456. Let h = 174 - l. Suppose -h - 1203 = -8*y. What is the least common multiple of y and 20?
1580
Let p = -5726 + 5768. What is the least common multiple of 6 and p?
42
What is the common denominator of (284/36 - 0)*(1912/320 + -6) and -87/320?
2880
Let j = -2371/8 - -300. Let x = -2911/171342 - -3/167. Let q = 5558/513 - x. Calculate the common denominator of q and j.
24
Let o = 11/96 + -569/32. Let t be (-5258)/(-3930) - 232/174. Let w = 549/262 + t. What is the common denominator of w and o?
30
Let v(q) = 100*q - 1273. What is the smallest common multiple of v(16) and 33?
3597
Let y = 3614 + -1850. Suppose 41*k + k = y. Calculate the lowest common multiple of k and 28.
84
Suppose a = -4*h + 554, h - 2*a - 60 = 74. Calculate the smallest common multiple of h and 32.
2208
Suppose -2*j - 3*c + 3141 = 0, 4*j = 2*c + 3284 + 2942. What is the smallest common multiple of 2925 and j?
23400
Let q be 60/24*(17 + 1). Find the common denominator of 613/198 - (-1 - (-35)/q) and -5 - -4 - 55/18.
198
Suppose 20 = 2*n - 0. Let i(l) = 4*l - 42. Let w be (-714)/(-35) + (-4)/10. Calculate the lowest common multiple of i(w) and n.
190
Let u be (768/32)/(4/(-1446)). Let v = u - -242975/28. Calculate the common denominator of -19 and v.
28
Let l = 42109 + -884363/21. Find the common denominator of l and (-44)/(-54) - 1 - 0.
189
Let z = -27190 + 27194. What is the smallest common multiple of z and 3070?
6140
Suppose 6*a - 8 = 2*a. Suppose -a*d - x + 6 = x, -3*d - 2*x + 10 = 0. Find the common denominator of -53/126 and (-2)/10 + ((-1749)/(-270) - d).
126
Suppose 3043*f = 3055*f - 336. What is the lowest common multiple of 35 and f?
140
Let t(p) = 4*p**3 + p**2 + 3. Let w be t(3). Suppose -12*a + 8 + 28 = 0. Find the common denominator of 119/18 and a/(45/6) - 658/w.
36
Let c(j) = 3*j**2 - 16*j - 3. Let f(r) = -r**3 + 21*r**2 - 20*r + 6. Let p be f(20). What is the smallest common multiple of 5 and c(p)?
45
Suppose 6*p = -p + 28. What is the common denominator of 809/(-154) - 4/(-22) and 4/(-18) + (257/(-18) - p)?
14
Let g = -7320 - -7346. Calculate the smallest common multiple of g and 288.
3744
Find the common denominator of -33/184 and -15 - -2 - (-24168)/1840.
920
What is the common denominator of -89/162 and (-39)/(-12) + -3 + (-318043)/1136916?
1782
Suppose -5*i - 2710 = -5*d, -2*d + 1044 = -6*i + 9*i. Calculate the smallest common multiple of 623 and d.
3738
Find the common denominator of 14465/1112 + (-3731)/287 and 19/1112.
1112
Suppose 2*s = -3*s - 90. Let g be (s/15)/(7/35). Let j = g - -36. Calculate the smallest common multiple of 16 and j.
240
Let i be (-3)/18*2*9. Let c(a) = -2*a**3 - 4*a**2 - a + 4. Let h be c(i). Suppose 4 = -h*r + 29*r. Calculate the smallest common multiple of r and 3.
3
Let l(i) = 852*i - 117. What is the smallest common multiple of 207 and l(2)?
4761
Let a be (-49462)/98 + 4/(-14). Let x = -406 - a. Calculate the lowest common multiple of 18 and x.
198
Calculate the least common multiple of (-9018)/12*(-32)/24 and 668.
2004
Suppose -39*t + 1305 = -2595. Suppose 698*f - 696*f = t. What is the smallest common multiple of f and 40?
200
Suppose 9*u + 128 - 11 = 0. Calculate the smallest common multiple of (26/u)/((-1)/85) and 55.
1870
Let w = -21400 - 40140. Let x = w - -11323423/184. Calculate the common denominator of x and -13/11.
2024
Let n(y) = -3*y**2 - 103*y - 26. Let u be 1 - 3 - (7 + (-250)/(-10)). What is the smallest common multiple of n(u) and 16?
16
Let t = 550 + -4. Calculate the common denominator of t/(-44)*(1 - 20/30) and -139/132.
132
Let v = -180 - -183. Suppose -71*l - 5*g + 65 = -69*l, v*l = -2*g + 103. What is the smallest common multiple of l and 4?
140
Let x = 3742 + -3730. What is the least common multiple of x and 30?
60
Suppose -97 = -3*c + p - 18, -c - 5*p = -53. Suppose c*h - 24*h + 908 = 0. What is the common denominator of 23/8 and 2 - (4 - h/(-64))?
64
Suppose 0 = 3*t - 13 - 17. Suppose 3*k - 4 = -5*s + 9*s, -5*s = -t. Suppose -4*p = k*j, 3*p + 2*j - 6 + 5 = 0. What is the lowest common multiple of 31 and p?
31
Let l(u) be the first derivative of u**2/2 + 19*u - 42. Suppose -2*g = -v - 33, -5*g - 2*v + 96 = -0*g. What is the smallest common multiple of g and l(-5)?
126
Let c(r) = -53*r**2 + 5*r - 3 + 0 + 57*r**2. Let i be c(-5). Suppose 6*p = 10*p - i. What is the lowest common multiple of 6 and p?
18
Calculate the common denominator of (-285)/108 - (-61)/(-183) and -63/8.
72
Suppose 2*j + 787 = 3*l, -2*l - 3*j = 2*j - 550. What is the smallest common multiple of 80 and l?
4240
Find the common denominator of (-15)/360*(1 - (-1497)/27) and 2/8 + 235/140.
378
Let t = 3118 - 3008. Calculate the lowest common multiple of 220 and t.
220
Suppose 0 = -2*x - 2*q - 2*q + 1450, 4*x = -5*q + 2894. Let h = -691 + x. What is the lowest common multiple of h and 12?
60
Find the common denominator of 67/760 and (15/6840)/(2/580).
2280
Let i = 71 - -73. Calculate the smallest common multiple of 1/(10/32)*(13 + 4 - -8) and i.
720
Find the common denominator of ((((-27)/9)/(-180))/(6/435))/7 and 11/1176.
1176
Suppose -1044 = 93*f - 209*f. Let i(a) be the third derivative of a**5/12 - a**4/12 - a**3/6 - 2*a**2. Calculate the least common multiple of i(-1) and f.
18
What is the lowest common multiple of 27/(-2)*280/(-210) and 234?
234
Let i(z) = -z**3 - 6*z**2 + 6*z - 2. Suppose -55 = 3*o + 5*h - 68, 4*o = -7*h + 17. Calculate the lowest common multiple of o and i(-8).
78
Suppose 2*d + 20 = -0. What is the lowest common multiple of (-1)/(((-11)/44)/((-18)/(-8))) and (-44)/d - 4 - 592/(-20)?
90
Suppose -2*b = -0*b - 4482. Suppose 13*m - 4*m = -b. Let j = m - -517/2. Calculate the common denominator of j and -75/8.
8
Let p = 11335/2 - 5628. Find the common denominator of p and 15/436.
436
Suppose 8302*c + 2357 = 4*s + 8303*c, 2950 = 5*s + 2*c. What is the smallest common multiple of 48 and s?
2352
Let n = -4311 - -5082. What is the least common multiple of 3 and n?
771
Let y = -137 - -31. Let t = y - -108. Suppose -t*i + 6 = -14. Calculate the least common multiple of 5 and i.
10
Let m be (-6 - 23517/(-2952))*(-140606)/5. Let y = -55299 - m. Find the common denominator of 20/9 and y.
1476
Let k(q) = 6*q**3 + q**2 - 3*q + 2. Let r(s) = -3 - 24*s + 24*s - 4*s**2 + s**3 - 4. Calculate the lowest common multiple of k(1) and r(5).
18
Let m be 25/(-5) + 125596/(-72). Let j = m - -1746. What is the common denominator of j and (9/(-6))/(18/(-250))?
18
Let v = 220/57 + -5123/456. Find the common denominator of v and -48/25.
200
Suppose 5 = 5*v - 0. Suppose -2*d + 80*l + 43 = 77*l, 3*d = 4*l + 61. What is the smallest 