2288
Calculate the common denominator of ((-106)/(-8))/(21/12 - -1) and 89/18.
198
Let o = 6329/6 - 44479/42. Find the common denominator of o and 23/49.
147
Suppose l - 7 = -34. Let n be ((-198)/l)/((-1)/15). Calculate the common denominator of (-15)/(-25) - (-606)/n and 137/6.
66
Let n = 194514/5 - 375023137/9640. Calculate the common denominator of n and 21/2.
1928
Let d be 11/143*(-1928)/(-20). Let x = d - 55/26. Calculate the common denominator of ((-26)/(-9))/((-32)/6) and x.
120
Let x = -11733 - -316756/27. Calculate the common denominator of x and 8/6*(-19)/(-28).
189
Let l = 64809/29 - 2235. Let z = l + 77/232. Find the common denominator of z and ((-2)/(-20))/(12/(-255)).
8
Let g = 26 + -24. Suppose g*o = -s - 6 - 25, 10 = -2*o. Calculate the common denominator of 48/5 and s.
5
Let b = -11 - -21. Let d(v) = 5*v + 4. Let y be d(-7). Let m = 37 + y. What is the smallest common multiple of m and b?
30
Let t(n) = -2*n**2 + 22*n - 47. What is the least common multiple of 6 and t(7)?
18
Suppose -h + 5*q + 34 = 5, h + q - 53 = 0. Suppose -3*t = 2*i + 2*t - 25, -17 = -2*i + 3*t. Calculate the lowest common multiple of i and h.
490
What is the smallest common multiple of 86 - (-6)/12*8 and 12?
180
What is the least common multiple of -18*(3 + -2)*(-10)/15 and 12*(57/12 + -2)?
132
Let p = -333841/777942 - 80/3929. What is the common denominator of p and 115/48?
1584
Let q = 216626/34023 - 66/1031. Let h = -1021/429 + q. Let r = -109/3 - -245/6. What is the common denominator of h and r?
26
Calculate the common denominator of ((-255)/20)/((-504)/35) and -67/21.
672
Suppose 4*w - 5 = -1. Let l(x) = 3*x**2 + x - 1. Let q be l(w). Suppose i + q*i = 64. What is the lowest common multiple of 14 and i?
112
Calculate the common denominator of -109/110 and 45/((-63)/(-7)) + (-31)/(-4).
220
Suppose 8*d - 11*d + 60 = 0. Suppose 5*x - 116 = -16. Suppose 2*q - x = q. What is the smallest common multiple of d and q?
20
Suppose -22*d = -18*d - 276. Calculate the least common multiple of 33 and d.
759
Let i(d) = -3*d + 3. Let z = 23 - 2. Let j = 39 - z. Calculate the smallest common multiple of j and i(-5).
18
Let l = -4048 + 323767/80. What is the common denominator of -83/96 and l?
480
Suppose -3*c + 349 = 5*f, 5*f - 2*c = 2*f + 198. Find the common denominator of 122/20 - (-2)/4 and 7/42*f/1.
15
What is the common denominator of 83/132 and (-50)/12*480/(-1120)?
924
Let v = -173663 + 871879/5. Let j = -715 + v. Let g = -6/3139 + 166433/34529. Find the common denominator of j and g.
55
Suppose 6 = -2*g, -2*y + 2*g + 9766 = -0*g. Let s = y + -73141/15. Calculate the common denominator of 13/18 and s.
90
Let y(h) = 94*h - 2. Let k be y(-4). What is the common denominator of (69/20)/((-72)/(-90))*(-6)/9 and 4/14 + (-627)/k?
72
Suppose -961 - 431 = -4*v. Let l = 47/2 - 20. What is the common denominator of l and ((-6)/136)/(18/v)?
34
Suppose -4*q - 244 = 5*u, 2*u - q = -0*q - 95. Let d(i) = i**3 - 8*i**2 - 4*i + 5. Let n be d(7). What is the common denominator of u and (-1)/6 - (-69)/n?
8
What is the lowest common multiple of 2260/6 - (-10)/(-15) and 2?
376
Let i be 1/(3 - 1295/430). Let p = i + 110. What is the least common multiple of 9 and p?
72
Suppose 0 = 3*y + 9, 12*v + 2*y - 459 = 7*v. What is the least common multiple of 1 and v?
93
Suppose 3640 = 6*d + 2938. What is the smallest common multiple of 57 and d?
2223
Suppose u + l + 9 = 2*u, 4*u - l = 39. Calculate the lowest common multiple of u and 20.
20
Let i = 342605/28 + -12234. What is the common denominator of 151/36 and i?
252
Let d = -22 + 40. Let y(w) = 2*w - 2. Suppose 2*u - 6 = 2. Calculate the smallest common multiple of y(u) and d.
18
Let z = 489 - 3925/8. Calculate the common denominator of 26/43 and z.
344
Suppose -384 = -53*d + 21*d. Calculate the smallest common multiple of 180 and d.
180
Suppose 0*g = -5*g + 105. Calculate the smallest common multiple of 121/7 + (-6)/g and (2/5)/((-12)/(-90)).
51
Let b = 1047 - 20981/20. Let o be 173825/(-20)*(-18)/21. Let u = o + -7445. What is the common denominator of u and b?
140
Let j(k) = k**3 + 5*k**2 + 8*k + 8. Let h be j(-4). Find the common denominator of (((-1452)/h)/3)/(-1 - 5) and ((-3)/8)/(22/104).
132
What is the common denominator of 7/(2464/2260) + (-24)/44 and -4/57?
456
Let d = -4667/888 - 109/296. Let v = d + -202/37. Calculate the common denominator of v and -95/8.
24
Let l be (-12)/(-36) + (-40339)/(-33180). Let n = l - -1/1106. Find the common denominator of -79/38 and n.
380
Calculate the least common multiple of 24 and (-4)/16 - 405/(-20).
120
Let f be 19/4 - (-1)/4. Suppose 22 = 3*s - 5*s + 2*g, 20 = f*g. Find the common denominator of 43/20 and 498/4*s/168.
80
Let d be (-283562824294)/(-36240) - (-2)/6. Let a = d - 78245787/10. Let f = 2/755 - a. Find the common denominator of f and 85/2.
8
Calculate the least common multiple of 116 and 10106/1141 - (-1)/(5 + 2).
1044
Let y = -62 - -67. Suppose 10*h = y*h + 20. Calculate the smallest common multiple of h and 2.
4
Calculate the common denominator of -145/6 and 4/(-22) + 5967/(-12012).
84
Let n be ((-2)/(-3))/(2/15). Suppose -3*d = -6*d + n*k + 83, 5*k - 64 = -4*d. Calculate the smallest common multiple of 14 and d + 2 + -1 + -4.
126
Let z = -134813/30 + 4493. Let p = z - 287/30. Calculate the common denominator of p and -61/36.
36
Find the common denominator of -29/6 and ((-38)/190)/((-4)/390).
6
Suppose -42*z = -43*z + 5. Calculate the smallest common multiple of z and 162.
810
Let t = -31/132 - 613/44. Let s be 4 + -1 + 25/5. Calculate the common denominator of t and ((-15)/12)/(s/38).
48
Suppose -6 = -4*v + 2. Suppose -4*o = v - 6. Let k(c) = 21*c. What is the common denominator of k(o) and 28/5?
5
Let h = 4633 + -32488/7. Calculate the common denominator of h and 34/31.
217
Let y be 1/3 + 1036/(-21). Let m = y + -23. What is the common denominator of 9/m - (-37)/(-4) and -65/8?
8
Let i = 122123 + -121756651/997. Let z = 73621/41874 + i. Calculate the common denominator of -67/33 and z.
462
Let u be (-30070)/6792 - (-4)/6. Let j be (-1692)/(-566) - (0 - -3). Let z = j - u. What is the common denominator of -95/8 and z?
8
Suppose 2*p - 2*f - 18 + 0 = 0, 2*p = 5*f + 21. Let h = 12 - p. What is the smallest common multiple of 26 and h?
52
Suppose 5*z - 75 = -5*s, -2*s + 5*s + 5*z = 51. What is the lowest common multiple of 20 and s?
60
Let l = 5 + 0. Suppose f - 2*v = 0, -l*f = -v - 0 - 18. Calculate the smallest common multiple of f and 11.
44
Let f = -310 + 320. What is the lowest common multiple of f and 10?
10
Calculate the common denominator of (10/96)/(76/(-114)) and -41/28.
224
Let n be ((-2)/(-4))/(5/30). Let q be (n/(-1704))/((-1)/6). Let p = -2479/568 - q. Find the common denominator of p and -11/6.
24
Suppose 0*y + 5*y = 100. Suppose -36 = -a - 63*b + 65*b, 3*b + 39 = a. What is the common denominator of 27/8 and (-742)/y + (-12)/a?
8
Suppose 0 = l + 3*a - 8, -a + 47 - 7 = 5*l. Let t = l + -10. What is the common denominator of 101/2 and t/(-36)*(-77 + 3)?
18
Suppose n - 307 = 3*p + 209, -2*n - 2*p + 1048 = 0. Calculate the smallest common multiple of 20 and n.
5220
Let r(i) be the second derivative of 4*i**3/3 - 5*i**2/2 + 2*i. Find the common denominator of 295*(-54)/180*2/6 and r(6).
2
Find the common denominator of 10 + (-90)/6 + (-74)/(-12) and 2*1 + 53/(-10).
30
Let d(f) = -26*f**2 - 9*f - 1. Let i be d(12). Let l = -38429/10 - i. What is the common denominator of l and -52/11?
110
Calculate the common denominator of 119/80 and 215/(-1376)*(-5)/(-1).
160
What is the common denominator of 47/3 and (-280)/(-3)*-3*(-8)/864?
27
Let q = -1427 - 3173. Let u = q - -41329/9. Let c = -491/5 - -4054/45. What is the common denominator of c and u?
9
Let g be ((-6)/(-1))/((-9)/(-6)). Let f(p) = -p**3 + 3*p**2 + 5*p - 1. Let j be f(g). What is the lowest common multiple of 1/1 + j - 1 and 5?
15
Suppose 5*o - 9 = -2*v + 2, -5*o - 3*v = -14. Suppose 3*b - 76 = -2*f, -4 + o = b - 5*f. Calculate the smallest common multiple of b and 14.
154
Let s = -3/10531 - 937193/231682. What is the common denominator of s and -77/16?
176
Let l(v) = 4*v**2 + 41*v + 72. Calculate the lowest common multiple of 12 and l(-18).
1260
Suppose 0 = -2*j + j + 5. Suppose -j*n = -20, -2*q + 4*n = 3*n