Calculate the common denominator of r and -3 + 1 - (-67)/10.
10
Let w = 68 + -59. Let k(c) = c - 3. Let m be k(-3). Calculate the smallest common multiple of w and (-6 - m) + (1 - -1).
18
Suppose 0 = 5*z + 29 - 34. Calculate the least common multiple of (1 - 4) + 14*1 and z.
11
Suppose 2*j = 4*p - 9*p + 144, 0 = -4*j + 2*p + 288. Suppose -j = -3*k - 3*k. What is the smallest common multiple of k and 18?
36
Find the common denominator of 121/144 and (1251/(-12)*1/3)/9.
144
Suppose 0*h = -5*h + 3060. Let u = 930553/70674 + -2/11779. Find the common denominator of u and 2/(-6)*h/(-56).
42
Let b(r) = r**3 + 6*r**2 - 6*r + 10. Let c = 21 - 28. Calculate the lowest common multiple of b(c) and 10.
30
Suppose 12 = -3*i, -26 = u - 4*u + 2*i. Calculate the smallest common multiple of 9 and u.
18
Suppose 0 = -5*b + 15*s - 14*s + 40, b = -2*s + 19. Find the common denominator of (-2)/20*(-1 + -85) and b.
5
Suppose -12 = -5*i + 3. Suppose -97*d + 31*d + 396 = 0. What is the least common multiple of i and d?
6
What is the common denominator of 52/55 and (-3)/6*679/(-35)?
110
Suppose -s + 6 = -m - m, m = -5*s + 52. Let c = 6 - 4. Let z = 14 + c. Calculate the smallest common multiple of s and z.
80
Let y = -4 + 20. Suppose -4*l = 2*p - y, -l = 4*l - 3*p - 20. Suppose -349*f - 40 = -354*f. Calculate the lowest common multiple of l and f.
8
Calculate the lowest common multiple of 2/(((-200)/(-750))/((-14)/(-5))) and 13.
273
Let u = 81 - 58. Let g = u - 19. Suppose -g*t + 16 = -4. What is the smallest common multiple of 4 and t?
20
Suppose -144 = -36*a + 24*a. Calculate the least common multiple of 110 and a.
660
What is the common denominator of 25 and (-2*(-3)/(-12))/(22/124)?
11
Suppose 5*f - 213 = 17. Find the common denominator of -47/10 and f*(-5)/(-44) + -4.
110
Suppose 5*n - 6*n + 5 = 0. Let i(s) = s**3 - 6*s**2 + 5*s. Let a be i(n). Suppose -2*u + 4 + 2 = a. Calculate the smallest common multiple of u and 4.
12
Let r = -49551/56 + 885. Let n be 2 - (2 - 1/(-56)). Let s = n + r. Find the common denominator of s and -2/5.
35
Let u = 68 + -113. Let a = u - -31. What is the common denominator of 1 - -2*(-34)/a and 79/8?
56
Let g be 10218398/(-3107940) - (-4)/(-6). Let f = -310918 - -7320564311/23545. Let i = g - f. What is the common denominator of 53/10 and i?
110
Let q(c) = -c**3 - 28*c**2 - 54*c - 36. What is the smallest common multiple of q(-26) and (-1*1)/(3/(-21))?
112
Let i(f) = -f**2 - 3*f + 1. Let d(j) = j**2 + 3*j. Let r(o) = 3*d(o) + 2*i(o). Calculate the smallest common multiple of (8/(-12))/(16/(-6))*4 and r(-4).
6
Let l = -193217/63080 - -60/1577. Find the common denominator of l and -22/135.
1080
Let l = 91675 + -8250841/90. What is the common denominator of 83/345 and l?
2070
Suppose 0 = 2*n - 4*m + 8, 0 = n - 5*n + 4*m. Let q(o) = 3*o**3 - 9*o**2 + 16*o - 76. What is the lowest common multiple of q(4) and n?
36
Let a = 18209/12 - 1516. Calculate the common denominator of 67/14 and a.
84
Let d = -8/817 - 59954/51471. Calculate the common denominator of 101/2 and d.
126
What is the common denominator of -20*((-3669)/(-1215) + -3) and -97/108?
324
What is the common denominator of -47/5 and 152/(-24) + 6 + 472/678?
565
Let d(o) = -5*o - 2*o - o - 6. What is the lowest common multiple of 22 and d(-3)?
198
Let g be (-1035)/(-1680) - 6/8. Let w = g - -1/112. What is the common denominator of (-3)/(-54)*(-1668)/8 and w?
24
Let p(i) = i**3 - i**2 - 2*i + 3. Let a be (-1 - 8)*-3 - 3. Let k = a + -15. What is the smallest common multiple of k and p(2)?
9
Let y(h) = h**3 - 7*h**2 - 9*h + 6. Let n be y(8). What is the common denominator of (-5)/(-48)*n - -3 and 11/20?
120
Suppose 3*j + 2*v = -0*v + 46, -3*j + 45 = 3*v. Calculate the smallest common multiple of j and 56.
112
What is the lowest common multiple of 24 and (-3 + -3)*(-1 + -35)?
216
What is the lowest common multiple of 49 and 1 - 2 - 3/((-24)/1240)?
1078
Let i(t) = -14*t - 77. Calculate the smallest common multiple of 21 and i(-7).
21
Let w = -738 - -755. Calculate the least common multiple of 11 and w.
187
Let z = 181/7 + -1513/42. What is the common denominator of -139/54 and z?
54
Suppose -3*i - 102 = -2*u + u, 4*i + 137 = u. Let v = -31 - i. Suppose 0 = -v*g + 3*g + 48. Calculate the smallest common multiple of g and 22.
528
Suppose 5*j + 5*b - 1045 = 0, 4*j - b - 604 = 237. Calculate the lowest common multiple of 126 and j.
630
Let g(h) = 6*h - 8. Let n = 30 - 18. Calculate the lowest common multiple of n and g(3).
60
Calculate the common denominator of -61/28 and -2 + 75/(-4) - 60/(-12).
28
Let n be 2 + 1 - (-78405)/(-48). Let g = n - -1631. Calculate the common denominator of g and -27/10.
80
Let j = -2736 + 16339/6. Let o be 3/6 - (-5)/(-10). Find the common denominator of j and 5/(15/67) - o.
6
Let j = 60 + -515/8. Calculate the common denominator of 41/4 and j.
8
Let v = -4190379 - -50428145/12. Let w = v - 11975. Let u = -4295/2 - -2194. What is the common denominator of u and w?
12
Suppose -5*n = -2*q - 288, -4*n = -0*n - 3*q - 236. What is the lowest common multiple of n and 16?
112
Let k = 59 - 24. Calculate the smallest common multiple of k and 7.
35
Find the common denominator of -131*6/(-3672)*3 and 151/18.
612
Let o(b) = b**3 - 7*b**2 + 8*b - 2. Suppose l + 5*n = -2 + 18, 3*n + 18 = 4*l. Let t be o(l). What is the common denominator of (18/t)/((-32)/100) and -8/11?
88
Let m(b) = -b**2 - 9*b - 7. Let g = 20 - 28. Let i be m(g). Find the common denominator of -45/8 and (-255)/(-50) - (0 + i).
40
Let k(x) = x**2 - 8*x + 3. Suppose 5*l + 4*w = 10, 4*w = l - 0*l - 26. Let u be k(l). Find the common denominator of -38/5 and (-2)/(-6) - 56/u.
45
Let j = -725311/6 - -112564. Let s = 8341 + j. Let t = 475/9 - 10693/198. Find the common denominator of s and t.
66
Suppose -3*s + 50 = -d, 2*s - 25 - 5 = -d. Calculate the common denominator of 56/5 and 10/(-35)*-7 - s/14.
35
Let o = 12/157 + -1653/3140. Calculate the common denominator of -61/174 and o.
1740
Let z = -96865/14 + 6916. What is the common denominator of 79/756 and z?
756
Suppose 5*k = -3*h + 3*k + 10, 6 = -h - 3*k. What is the least common multiple of 30 and h?
30
Let j(g) = -g. Let r be j(-1). Suppose -n + 3*s = s - r, -4*n + 59 = 3*s. Let i(t) = -3*t - 26. What is the smallest common multiple of i(-11) and n?
77
Suppose 2*j - 36 = 4*s - 5*s, -5*s + 196 = 2*j. What is the smallest common multiple of s and 1?
40
Let y = -7/11 + -93/286. What is the common denominator of y and 37/20?
260
Let u(o) = 24*o - 2 - 9*o - 11*o - 8*o + 8*o**2. Calculate the lowest common multiple of u(-1) and 2.
10
Let x be 40/48 - (-2)/12. Let p be (2 - x)*2 - -3. Suppose 2*r + p*k + 7 = 0, -3*r - 2*k - 2*k = 0. Calculate the smallest common multiple of 20 and r.
20
Let a = 4309/5 + -865. What is the common denominator of 55/146 and a?
730
Let a = 1/910090769 + 28730655482726/3490198099115. Let n = a - 4/3835. Let m = n + -257/156. What is the common denominator of m and -57/46?
276
Suppose -6*t - 1 - 17 = 0. Let v be 7/(84/64)*t. Find the common denominator of 83/10 and 6/(v*(-3)/27).
40
Let k be 1/(-5) + 357/85. Suppose 0 = r - k*r + 27. Let n = 2 - 0. Calculate the lowest common multiple of r and n.
18
Suppose 1122 = 4*u + 13*u. What is the least common multiple of 121 and u?
726
Let y = -18012 + 37329/2. Let s = y - 629. Find the common denominator of (-1)/(-3) - 346/66 and s.
22
Suppose -3*i - 3*m + 4 = -8*i, -3*i + 9 = 2*m. Let o = 4 - i. Suppose u = -o*u. Find the common denominator of -69/2 and u.
2
Let k(p) = p**2 - 16*p + 58. What is the least common multiple of k(12) and 10?
10
Let j = -315 + 529. What is the smallest common multiple of j and 2?
214
Let r(h) = -2*h**3 - 2*h**2 - 1. Calculate the smallest common multiple of (5/2)/(-4 - (-18)/4) and r(-2).
35
Let i(l) = -l - 2. Let s be i(7). What is the common denominator of ((-100)/(-126))/(s/(-21)) and 2/9?
27
Let s(j) = -7*j + 69. Suppose -3*c = -c + 34. Calculate the least common multiple of 22 and s(c).
2068
Let h(o) = 9*o**2 - 3*o - 4. Let p be (-3)/(-1 - 2)*-1. What is the lowest common multiple of h(p) and (-2)/7 - 130/(-14)?
72
Suppose 4*d = 35 + 1. Let q(m) = -m**2 + 7*m - 12. Let y be q(d). Let b = 48 + y. Calculate the lowest common multiple of b and 22.
198
Let v(u) 