Let y = 71653/10424 + 3/2606. Calculate the common denominator of z and y.
8
Suppose 9*z = 91 - 37. Calculate the least common multiple of z and 58.
174
Suppose 0 = -4*w - w + 90. What is the common denominator of (-4)/w + (-286)/90 and (-50)/(-3*(-1 - (-20)/36))?
10
Let v = 2715 - 2432643/896. Let k = 11621/8064 - v. Calculate the common denominator of k and 16/39.
117
Suppose -138 + 24 = -19*u. Calculate the least common multiple of u and 48.
48
What is the common denominator of -32/9 and 2*(-1750)/408 - -8?
306
Suppose 0 = -11*f + 8*f - 12. Find the common denominator of 93/26 and (-4)/12 - (-86)/f.
78
Let i = 579 - 487. Calculate the lowest common multiple of i and 8.
184
Let c(w) = -w**3 - 34*w**2 + 2*w + 52. Let y be c(-34). Calculate the common denominator of -1 + 6/18 - 78/y and -85/44.
264
Suppose 2035*r - 2043*r = -24. What is the least common multiple of r and 69?
69
Let h(v) = -188*v + 859. Calculate the least common multiple of h(4) and 6.
642
Let w = 1373 + -16487/12. Let j be -194*(12/18 + 1/(-6)). What is the common denominator of (4/8*j)/(-9) and w?
36
Calculate the common denominator of 24/(-132) + 907/(-154) and (-609)/72 - 6/(-16).
84
Suppose 5*r - 14 - 11 = 0. Suppose 5 = -0*b - b, -4*h + r*b - 63 = 0. What is the lowest common multiple of 9 and (-21 + 1)*h/55?
72
Suppose 4*b - 5*j = 2*b + 38, 0 = -4*b - 5*j + 16. Suppose -5*r - 86 = -4*u, 0 = -2*u + 13*r - 10*r + 46. What is the smallest common multiple of b and u?
126
Let i be -82*3585/(-110) + -6. Let k = 1015 + -3678. Let t = k + i. Find the common denominator of -125/6 and t.
66
Let h = 230 + 30. What is the lowest common multiple of h and 208?
1040
Suppose -4*z + 75 = 5*p, 4*z - 3*p - 82 = -p. Let m = 22 - z. What is the smallest common multiple of m and 5?
10
Let p = -38154 + 38184. Let m = -2 + 14. Calculate the lowest common multiple of m and p.
60
Let c = 328 - 248. What is the lowest common multiple of c and 22?
880
Let p(i) = 2*i - 31. Let n be p(15). Find the common denominator of 44/3 and n/(-1) - 188*(-9)/(-1062).
177
Suppose -7*t = -6*t - 11. Let j = 0 + t. Calculate the lowest common multiple of j and 4.
44
Let n(x) = x**2 - 5*x + 4. Let o be n(2). Let j(u) = 39*u**2 + 1. Let q be j(1). Find the common denominator of -83/4 and (18/q)/(-9) + o.
20
Let j(a) = -a**3 + 9*a**2 - 16*a + 16. Let z be j(7). Suppose z*b = -b + 6, 0 = -5*y + 2*b + 16. Calculate the lowest common multiple of y and 16.
16
Suppose 2*w = -4*v - 2496, -4*v - 40 + 2528 = -2*w. Let z = -4 - 4. What is the common denominator of z/(-60) - w/(-120) and 61/8?
8
Let m(u) = u**2 + u - 1. Let t(v) = 5*v**2 - 5*v + 1. Let q(i) = 4*m(i) - t(i). What is the lowest common multiple of q(8) and 2?
6
Let f be ((-1)/3)/((4605/(-77241))/(-1)). Let h = f + 15/614. Calculate the common denominator of -95/24 and h.
120
Find the common denominator of 15/6 + (-15)/126 and 3/60*188/3.
105
Let p = -474 + 221. What is the common denominator of 0 - (p/(-54))/(-11) and 37/8?
216
Suppose 0 = -8*o + 3*o - 40. Let p be ((-2892)/(-45))/(o/12). Let c = -1083/10 - p. Calculate the common denominator of c and -43/8.
40
Suppose 4*z = 8*z - 56212. Suppose 2398 = -5*k + z. Let v = 16371/7 - k. Calculate the common denominator of 35/4 and v.
28
Let h(o) = o**3 + 2*o**2 - o + 1. Let c(l) = -73*l + 12. Calculate the smallest common multiple of h(-2) and c(0).
12
Suppose 501 = 10*d - 219. Calculate the lowest common multiple of d and 24.
72
Calculate the smallest common multiple of (-1)/1 + 53 + 14 and 66.
66
Let d = -53 - -31. Let i = -2 - d. Suppose 2*o + 975 = 1003. Calculate the least common multiple of i and o.
140
Let t = -72 + 96. Let w(h) = -h**3 + 23*h**2 + 31*h - 46. What is the lowest common multiple of 20 and w(t)?
1220
Let s(r) = -4*r + 39. Calculate the lowest common multiple of 33 and s(-15).
99
Calculate the common denominator of 7/480 and (3/(-9)*1)/((-120)/(-900)).
480
Let z = -23 + 27. Suppose u + u + z*i - 286 = 0, -5*u - 5*i = -710. Calculate the common denominator of (1 + u)*(-1)/(-8) and 27/7.
28
Let d = 8549/3278 + 11/149. Let n = -216/5 - -44. Calculate the common denominator of n and d.
110
Let v(w) = -5*w**2 + 17 + 6*w - 9*w**2 - 2*w - w**3 - 19*w. Find the common denominator of 71/4 and v(-13).
4
Suppose -3*f - 2 = -5*d, -3 = -f + 2*d - 4*d. Let g(n) = 13*n**3 - 2*n. What is the smallest common multiple of 20 and g(f)?
220
Let y = -27557/14 - -1975. Let k = 64044818987/11872200 + -4547729/842. Let b = k - -1/9400. What is the common denominator of y and b?
84
Let u = -477097/193248 + 1/12078. Let l = -1/12713 + 928089/508520. What is the common denominator of u and l?
160
Let w be 16/(-4) - -5 - -2*1. Find the common denominator of 3/(-42)*13 + (w - 0) and -125/264.
1848
Let p be (-44)/6*(-54)/(-4). Find the common denominator of (1 - (-1623)/p)*(-4)/(-96) and -7/22.
198
Suppose r - 4 = -r. Suppose l - 12 = -3*h, r = 3*h - 4*l + 5. Let d(x) = -x**3 + 5*x**2 - 3*x - 1. What is the smallest common multiple of d(h) and 10?
40
Let z = 357247/20 + -74999/4. Let u = -877 - z. Find the common denominator of 1/4 + (-316)/112 and u.
35
What is the least common multiple of 4 and (41/(-3))/(((-40)/(-96))/(-5))?
164
Let l(x) = 8*x - 48. Let s be l(30). Suppose -10*o = -4*o - s. Calculate the lowest common multiple of 44 and o.
352
Let y = 2241121/90246 - 2/15041. Calculate the common denominator of y and 41/736.
2208
Let h be 4/14 + 1160/56. Let c be (2 + h/(-3))/(-1). Suppose c*y = -2 + 7. Calculate the lowest common multiple of y and 8.
8
Let m be -2*21346/6560 - 1. Let u = m - 24/205. Calculate the common denominator of u and 122/18 - (-4)/6.
72
Let r = 4 - -29. What is the lowest common multiple of 66 and r?
66
Let z = -43 + 61. What is the lowest common multiple of 16 and (-678)/81*-6 + z/(-81)?
400
Calculate the common denominator of (-46)/4 - (-118)/(-354) and -10/7.
42
Let s = -607/15 - -6221/120. What is the common denominator of -16/9 and s?
72
Let n = 1067 - 999. What is the least common multiple of n and 3?
204
Suppose 5*x - 20 = 0, -b + 4*x = 4 + 8. Calculate the smallest common multiple of 42 and b.
84
Let t(q) = -104*q + 320. Suppose 2*u - 8 = -4*p, 24 + 14 = 2*u - 2*p. Calculate the lowest common multiple of t(3) and u.
56
Let x be 106/(-6) - (-1)/(-3). Calculate the common denominator of 4/(-22)*473/22 and (-801)/(-60)*(-15)/x.
88
Let f = 79 + -3791/48. Find the common denominator of f and -30/11.
528
Let d(v) = v**2 + 18*v - 103. Calculate the smallest common multiple of 63 and d(-25).
504
Find the common denominator of (-1*9)/((-72)/15 + 1) and 24.
19
Let b = -15581/2785 - 3/557. Calculate the common denominator of b and -19*(-3 + 102/33).
55
Let c = -4951/6 + 845. Calculate the common denominator of 87/682 and c.
2046
Let l = -321/280 + 149/70. Find the common denominator of l and 46/(-18) - 4/(-18).
168
Let f = 347 + -203. What is the smallest common multiple of 24 and f?
144
Let f = 2/1233 - 10982/13563. Find the common denominator of f and -53/198.
198
Let m(o) = -15*o**2 - 10*o - 11. Let p be m(-5). Calculate the least common multiple of (2/(-4))/(21/p) and 10.
40
Let d = 14558 - 1193835/82. Find the common denominator of d and 43/14.
574
Suppose 6*f - 176 = 22. Suppose -f = -4*x + 3. What is the least common multiple of x and 10?
90
Let p(f) = 3*f**2 - 2*f - 2. Suppose -60 = 4*g - g. Let i be (-8)/10*(-50)/g. Calculate the least common multiple of p(i) and 4.
28
Suppose -2*i = -2*q - 4*i + 22, -4*i = -5*q + 19. Let u = 2 + q. Let p(c) = -c. What is the least common multiple of p(-4) and u?
36
Let a = -63522 + 4001803/63. What is the common denominator of 32/7 and a?
63
Calculate the common denominator of -52/5 and 17/((-9)/((-72)/28)).
35
Suppose 0 = -3*g + 117 + 3. Let a = -4964 + 4982. Calculate the least common multiple of a and g.
360
Let o be 88/28 - (-3)/(-21). Let f be -4 + o - (-1944)/14. Let p = 6721/42 - f. Calculate the common denominator of p and 44/3.
6
Let n be 2*(-5)/25 + 104/10. Calculate the common denominator of -9/7 and 150/8*(2 + (-8)/n).
14
Let a(j) = 28*j**2 - 7*j - 8. What is the least common multiple of a(-1) and 9?
27
Let h(b) = 2*b**2 - b - 16. Suppose 31 = 3*x - 11. What is the smallest common multiple of x and h(4)?
84
Let n = 1713 - 1578. What is the leas