+ 0*v - 5*y = 2005. Let i = v - -12007/12. Find the common denominator of -9/11 and i.
132
Let q(u) = -u**3 + 11*u**2 + 17*u - 19. Let h be q(13). Let v be h/22 - 6/(-33). What is the common denominator of (6/33)/(v/(-81)) and -17/7?
77
Let z = -7498 + 37512/5. Let h be (2/((-8)/1287))/1. Let a = h + 309. Calculate the common denominator of z and a.
20
Let y = 1403727/46 + -30518. Let x = y - -3709/736. Find the common denominator of x and 79/4.
32
Suppose -7*d + 2*d + 110 = -5*o, -4*d - o = -88. Let b = 1187 - 1185. Calculate the smallest common multiple of d and b.
22
Find the common denominator of (3375/(-252))/(2 + (-64)/14) and 7/8.
24
Let j(i) = -2*i**3 + 3*i**2 + 2*i + 3. Let p be j(3). Let c = -13 - p. Suppose c*a - 3 + 28 = 0. What is the common denominator of a and -2/3?
3
Let g = 2/5357 + 85706/16071. Suppose -4*u = 19 + 21. Find the common denominator of g and u/(-8) + 2*-1.
12
Let x(r) = r**3 + r**2 - r + 409. Let s be x(0). Let t be ((-72)/s)/(-1 - 1). Let b = 61111/7362 + t. What is the common denominator of -77/2 and b?
18
Let c(h) = h**3 - 6*h**2 + 3*h + 1. Let q be c(6). Let b be (-2)/(3/(-6)*1). Let o = q - b. Calculate the smallest common multiple of o and 4.
60
Calculate the smallest common multiple of 216 and (-1952)/(-108) + -2*2/54.
216
Suppose -a - 2226 = -4*q, 3*q = 3*a + 2472 + 4188. Let c = -13343/6 - a. What is the common denominator of c and (-62)/24 - (0 - 2)?
12
Suppose 0 = -7*a - 755 + 1973. What is the lowest common multiple of 145 and a?
870
Let a = -6 - -6. Suppose 2*q = -a + 2. Calculate the lowest common multiple of q/(2/44*1) and 2.
22
Let f = 3 + -1. Calculate the common denominator of -1*1*-4*2990/(-7475) and (23/(-2))/(11/f).
55
Suppose 2*t = -a + 39, t - 5*a + 18 = 43. Calculate the least common multiple of t and 132.
660
Let f = 152 + -138. Calculate the least common multiple of f and 66.
462
Let g(z) = -7*z + 1. Suppose 0 = p - 3 + 1. Suppose -5*x - 85 = -3*c, p*c + 125 = 7*c - 5*x. What is the lowest common multiple of c and g(-1)?
40
Let s = 1401 + -71465/51. What is the common denominator of 105/34 and s?
102
Let p(g) = 3*g**2 - 1. Let k = -1733 + 1734. Calculate the least common multiple of p(-1) and k.
2
Let a(w) = 2*w - 3. Let i be a(3). Suppose g + 17 = 7*b - 2*b, -b + 7 = g. Suppose 5*r - i*r = b. What is the smallest common multiple of r and 6?
6
Suppose -4832 = -26*j + 11340. Calculate the least common multiple of 6 and j.
1866
Let u = 2344 + -25741/11. Calculate the common denominator of u and ((-99)/40)/((-6)/5).
176
Let h = 2194 + -1610. Calculate the lowest common multiple of h and 10.
2920
Let m = -2274/11 + 206. What is the common denominator of m and -15/416?
4576
Suppose -2*f - 2*s - 19 = -5*f, -4*f - s + 18 = 0. Let c(p) = -4 - 5*p + 4 - f*p - 4. What is the least common multiple of c(-2) and 4?
16
Let z(y) = y**2 - 1. Let g be z(-3). Let x(c) = 0*c**2 + 8 + 2*c**2 - g*c + 2 - c**2. What is the lowest common multiple of 2 and x(7)?
6
Suppose 4*x - 110 = -x. What is the smallest common multiple of 9/3*16/3 and x?
176
Suppose -5*t - 8 - 36 = -2*n, 3*t = -3*n + 24. Suppose -5*d - 76 = -5*y + 19, 4 = -d. What is the smallest common multiple of (-24)/(-10) + (-6)/y and n?
12
Let r = 8296 + -4378. Suppose c + 4*q = 1738, -3*q + r = 3*c - 1287. Let i = 17319/10 - c. What is the common denominator of i and -39/16?
80
Suppose -5*b = 5*z - 0*z - 125, -3*z - b = -85. What is the least common multiple of (-16)/(-12)*z/4 and 11?
110
Let f = 16807 - 16763. Let z = 7 + 9. Calculate the lowest common multiple of f and z.
176
Let d = 33 + -47. Let y = -12 - d. Suppose 0 = -3*f + y + 16. Calculate the least common multiple of f and 4.
12
Let d(x) = 2*x**3 - 16*x**2 - 15*x - 14. Let p be d(-10). Let l = p - -65781/19. Let b = -213/266 + l. Calculate the common denominator of b and -29/2.
14
Suppose 0 - 12 = -3*i. Suppose -a + 3*y + 7 = 5*y, -a + i = y. Calculate the least common multiple of a and 8.
8
Suppose 2*d = -4*y + 9 + 25, 4*y - 28 = 4*d. Find the common denominator of 1460/(-190)*2/y and (-105)/54 - 8/36 - 0.
114
Calculate the common denominator of (1120/6)/(-8) + 4/(-24) and 58/3.
6
Let k = 1015/2 - 542. Suppose 0 = 3*u - 5*u - 10, g = -3*u + 1747. Let v = g - 19342/11. What is the common denominator of v and k?
22
Let j = -34337/10 + 3437. Let f = -1/323 + 14861/969. Let y = f - 467/33. What is the common denominator of j and y?
110
Let c(u) = 0*u - 2*u - u - 3 - u. Let r be c(-4). Let n = r + -5. Calculate the least common multiple of n and 16.
16
Suppose 0 = 12*r + 79 - 103. Let z(p) be the second derivative of -p**4/12 - p**3 + 4*p**2 + 2*p. What is the least common multiple of r and z(-6)?
8
Suppose 3*l = -l + 18576. Let f = -18483/4 + l. Calculate the common denominator of 2/2 + 68/10 and f.
20
Suppose -4*w = -8*w - 12, -3*h = -2*w - 102. Suppose -442*j + h = -438*j. Suppose -13 = -4*b + 7. Calculate the least common multiple of j and b.
40
Let z be (-13 - -14)*(-84)/170. Let o = 519/85 - z. What is the common denominator of o and -103/10?
10
Let z(g) = -g**2 - 5*g + 5. Let i be z(-5). Suppose i*r + 113 - 38 = 0. What is the common denominator of -40/9 and ((-33)/r)/((-6)/55)?
18
Let h = -5 - -13. Let n(b) = 5*b**2 - 19*b + 2. Calculate the least common multiple of h and n(4).
24
Let l = -25 - -46. Let v(u) = -u**3 + 7*u**2 - 4*u + 9. What is the least common multiple of v(5) and l?
273
Suppose p + a = 0, -5*a + 10*a + 6 = -2*p. What is the least common multiple of 22 and p?
22
Let n be ((-6)/4)/(12/(-256)). Let s = n + -25. Calculate the least common multiple of 5 and s.
35
Let s = 723 + -678. What is the lowest common multiple of 153 and s?
765
Let w = -18 + 33. Let v = -14 + w. Calculate the common denominator of 59/8 and 28/76 - (3 - v).
152
Let j(k) = k**3 - 2*k**2 + 4*k. Let b be j(3). Let d = -15/128 + -1057/128. Find the common denominator of d and (-14)/12*b/29.
232
Suppose -3*w - 2*w - 116 = -2*x, -4*w = -3*x + 181. Calculate the least common multiple of x and 12.
252
Suppose 1 + 5 = 2*n. Suppose -60 = -n*y - 2*x, -3*y + 60 = -0*x - 2*x. Calculate the least common multiple of y and 12.
60
Let w be (-9)/(3/(-1)) + 3. Suppose 2*t - w = 54. Calculate the smallest common multiple of (8 - (-5 - -2)) + -3 and t.
120
Let p = -1 + 4. Suppose -39 + p = -4*r. Calculate the lowest common multiple of r and 11.
99
Let q = 531 + -1109/2. Let n be (-12)/32*2*-12. What is the common denominator of q and (354/n)/((-8)/2)?
6
Suppose 2*j + w = 5*w + 18, 5*w + 20 = 0. Let n = -355 - -361. What is the least common multiple of n and j?
6
Suppose 76 + 4 = 4*q. Suppose 4*b - 40 = -0*b. Calculate the smallest common multiple of b and q.
20
Let a = -48835 - -51032579/1045. Let r = 93021/4180 - a. Calculate the common denominator of 30/7 and r.
28
Let p = 4 + -3. Let h(b) = 2*b - 8*b + 6*b - p + 3*b**2. Calculate the lowest common multiple of 2 and h(-1).
2
Suppose 1881 = -4*n + 7033. Let w = n - 28327/22. Find the common denominator of w and ((-10)/8)/((-2)/(-36)).
22
Let u = 15 + -5. Let n = -1 + -21. Let o = n - -31. Calculate the lowest common multiple of o and u.
90
Let z be 0 + ((-36722)/24 - -4). Let f = z + 1527. What is the common denominator of f and -119/20?
60
Suppose 75 = -3*p - 3*z, 1 - 16 = 2*p - 5*z. What is the common denominator of p and -41/4?
4
Suppose -3*j - 12 = 0, -20 = -6*v + 4*v - 5*j. What is the smallest common multiple of 50 and v?
100
Let u(y) = y**2 - 23*y - 14. Let l(k) = k + 28. Let d be l(-4). What is the least common multiple of u(d) and 1?
10
Suppose 14 = -o - 5*z - 0*z, z = -5. Calculate the least common multiple of 2 and o.
22
Let x = -14 - -36. Let w(t) = 6*t**2 + t - 1. Let k be w(-2). Let u = -9 + k. Calculate the smallest common multiple of u and x.
132
Suppose -166 = -12*a - 22. Calculate the smallest common multiple of a and 21.
84
Let x = -81/32 + 5/32. What is the common denominator of x and -27/85?
680
Let c = 914 - 29239/32. What is the common denominator of -29/20 and c?
160
Find the common denominator of -97/6 and (31/(-51))/(46/(-69)).
102
Let b = 283 + -274. Calculate the smallest common multiple of b and 5.
45
Let c = 75 - 109. Let t = c - -45. Let h(g) = 9*g**3 - g. Calculate the least common multiple of h(1) and t.
88
Calculate the least commo