8
Let z(o) = -3*o**3 + 3*o**2 + 3*o + 3. Suppose -4*g + p - 13 = g, 0 = 5*p - 15. Let u be z(g). What is the common denominator of -29/3 and (2/(-6))/(u/324)?
33
Let r = -7 + 15. Let z(t) = t**2 + 14*t - 5. Let o be z(-14). Let q(k) = k**3 + 5*k**2 + 6. Calculate the least common multiple of q(o) and r.
24
Let u = -67 + 67. Suppose 4*g - 8 = -u. What is the smallest common multiple of 20 and g?
20
Suppose -5*m + 320 = -0*m - 3*i, -m = -2*i - 64. Calculate the lowest common multiple of 176 and m.
704
Suppose -2*b + 3*g + 6 = -0, 0 = 5*b - 5*g - 15. Calculate the common denominator of 47/((-3)/b - -7) and ((-135)/66 + 1)/1.
66
Find the common denominator of 10/(-120) - (-152)/(-30) and -33/10.
20
Let l be 29738/(-5460) - (-6 + 4 + 6). Let k = l - -40/273. Calculate the common denominator of k and -37/6.
30
Find the common denominator of (34/(-204))/(0 - 39/408) and 17/39.
39
Let i = 317 - 273. Calculate the smallest common multiple of i and 24.
264
Let z = 15 + -13. Let k(i) = -6*i**z - 8*i**3 + 9*i**3 - 2 + 0 - 7*i - 2*i**3. What is the lowest common multiple of k(-5) and 8?
8
Let a be (4/(-4))/((-1)/5). Let h(z) = z**3 - 5*z**2 + z - 6. Let m be h(a). Find the common denominator of (-96)/27 + m/(-1) and 71/4.
36
Let h = 1174 + -5892/5. Calculate the common denominator of 45/13 and h.
65
Let r = 187/52 + 15/13. Find the common denominator of 1/10 and r.
20
Suppose 0 = -106*z + 57*z + 294. What is the lowest common multiple of z and 25?
150
Suppose 4*z - 186 = a + 330, 634 = 5*z - 4*a. Calculate the least common multiple of 4 and z.
260
Let u = 17 - 7. Suppose -g = -4*g - k + 51, -6 = -g - 4*k. Suppose 0 = 6*b - 3*b - g. Calculate the lowest common multiple of u and b.
30
Let k(f) be the third derivative of -f**4/24 - 2*f**3/3 - 5*f**2. What is the least common multiple of 10 and k(-6)?
10
Suppose -r = 3, 4*r - 35 = -4*b + 13. Suppose -2*i + b = -3. Calculate the smallest common multiple of 18 and i.
18
Let n(z) = z**3 + 5*z**2 + 5*z + 4. Let r(j) = j**2 + j + 1. Let i(m) = -n(m) + 6*r(m). Suppose 13*o = -7*o. Calculate the least common multiple of 3 and i(o).
6
Suppose -2*v - r + 6 = -33, -9 = 3*r. What is the smallest common multiple of v and 804?
5628
Calculate the common denominator of 30/17 and -5 + (-87)/(-10) + 6.
170
Let x = 30599/32 - 958. What is the common denominator of -169/60 and x?
480
Suppose -3*q = -3 - 0. Find the common denominator of -48/11 and 1 - (q + (-99)/(-48)).
176
Let m = -106 + 114. Calculate the least common multiple of m and 14.
56
Let f be 36*9/((-108)/(-16)). Calculate the smallest common multiple of 2/10 + f/10 and 4.
20
Suppose -g - 2410 = -5*x, -829 = -3*x + 3*g + 629. Calculate the common denominator of (-14)/(-77) - x/165 and 95/4.
60
Suppose 0 = -8*v - 3*v. Suppose v = 5*z + 2*f - 43, -2*z - 2*f + 5 = -11. Calculate the lowest common multiple of z and 10.
90
Suppose -6*t + 4580 = -2*t. Let q = t + -13723/12. Find the common denominator of q and (-166)/(-4)*(-4)/(-24).
12
Let m = 109 - 772. Let j be (-2)/4 + m/26. Let v = j - -51/2. Calculate the common denominator of -97/10 and v.
10
Let a(w) = -11*w + 5. Let j be a(-10). Find the common denominator of j/14 - (-22)/77 and -11/18.
18
Let j(q) = -2*q + 66. What is the lowest common multiple of 16 and j(12)?
336
Let x be 4*-3*3027/(-450). Let g = 128227/1600 - x. Find the common denominator of g and 149/12.
192
Let c = 16093495/147 - 109480. What is the common denominator of c and 73/6?
294
Suppose -5*t + 785 = -675. Calculate the smallest common multiple of t and 10.
1460
Calculate the common denominator of 2 - (-297)/84*-1 - -1 and -21/68.
476
Suppose 4*k = 2*h - 40, -4*k + 8*h - 46 = 3*h. Let p(d) = 14*d - 2. Let c be p(-2). Calculate the smallest common multiple of 2 and c/(-9)*k/(-6).
10
Let s(q) = -31*q + 260. What is the least common multiple of 276 and s(8)?
276
What is the common denominator of -37/10 and ((-62)/308)/((-24)/36)?
1540
Let c = -443 + 447. Calculate the smallest common multiple of c and 8.
8
Let z = 39 + -43. Let y(o) = o**3 + 4*o**2 - 6*o - 6. What is the smallest common multiple of 22 and y(z)?
198
Let y = -113/87 - -653740/503121. Let h = 3902817992227675/34698 + -112479623949. Let b = y + h. What is the common denominator of 125/6 and b?
6
Let m be (-1)/3 + (-10)/6. Find the common denominator of 95/2 and 205/30 + 1 + m.
6
Suppose 0 = z - 0*z. Suppose z*h = 6*h - 258. Let b = h + -32. What is the lowest common multiple of 7 and b?
77
Let p = -27 - -18. Find the common denominator of (-4)/((-48)/9)*(-226)/p and -2/15.
30
Let k = -16823 - -555107/33. What is the common denominator of ((-436)/36)/(8/6) and k?
132
Let p(v) = -10*v**2 - 1. Let l be p(-1). What is the common denominator of 49/8 and l/8 + (-16 - -18)?
8
What is the common denominator of (-63)/(-39) - 35/7 - -4 and 2 - (56/(-22) + 2)?
143
Let s = 2366 + -33101/14. Calculate the common denominator of -91/10 and s.
70
What is the smallest common multiple of 40 and (-994)/(-35) - (-2 + 12/5)?
280
Let i = -57351463/1935 + 29639. Let b = i + 2221/645. Find the common denominator of 13/12 and b.
36
Let z(d) = -d**3 - 13*d**2 + 13*d. Let t be z(-14). Let m = 16 - t. Calculate the lowest common multiple of 28/2 + (m - 5) and 7.
77
Let x = 8912785737996 + -8249121886374281535/925538. Let y = -5/13814 - x. Let i = y + -6387/1474. What is the common denominator of 67/20 and i?
220
Let y(a) = 3*a - 20. Suppose 4*b = q + 32, -3*b - 3*q + 9 = -0*b. Let f be y(b). What is the common denominator of (-6100)/(-720) + f/(-4) and -76/9?
9
What is the common denominator of -103/264 and (-305)/(-30) + 5 - -8?
264
Let g = -1051 + 1079. Calculate the smallest common multiple of 396 and g.
2772
Suppose 0 = 3*j - 9 - 9. Suppose 0 = u - 4*u. Suppose -4*f + 7 + 1 = u. Calculate the smallest common multiple of f and j.
6
Let h = 1026/37 + -29848/999. Let n = 1255709/131028 - 2/10919. Calculate the common denominator of h and n.
108
Suppose 0 = b - 8, 4*f - 3*b - 263 = -115. Suppose 5*t + 2 = -l, 2*l + 0*t + 5*t - 6 = 0. What is the smallest common multiple of l and f?
344
Let q = 2 + 10. Suppose 19*f = 11*f. Suppose 3*p - 66 = -5*n + 2*p, f = 4*n - p - 60. What is the lowest common multiple of n and q?
84
Suppose 5*w = 9*w + 24. Let z be -4701 + 5/(10/w). Let u = -32871/7 - z. Find the common denominator of 54/7 and u.
7
Let a = -1513/2 + 734. Find the common denominator of 53/22 and a.
22
Suppose -6*b = 103 + 23. Calculate the common denominator of 43/18 and (b/10)/((-702)/1690).
18
Let t be 2/4*0/1. Suppose 3 = 3*x - t*x. Let j = 5 + x. Calculate the least common multiple of 16 and j.
48
Let y = -58421/9 + 6528. Let q = -1681/36 + y. Calculate the common denominator of q and 59/8.
24
Let a be ((-2292)/18)/((-2)/8*2). Let y = a - 247. Find the common denominator of -17/5 and y.
15
Suppose -8 - 8 = -3*d - 4*x, 4*x = 4. Suppose 0 = d*w - 7 + 3. Let y = 23 - 12. What is the smallest common multiple of w and y?
11
Let y = -20375 + 1711459/84. Calculate the common denominator of y and 29/630.
1260
Let q(r) = r + 7. Let n be q(-7). Suppose 2*m = -n*m - 4*d + 39284, 5*m = -d + 98201. Let p = -432177/22 + m. What is the common denominator of p and -39/16?
176
Let y = 971 - 722. Calculate the least common multiple of 18 and y.
1494
Let u = 229 - 189. What is the lowest common multiple of 32 and u?
160
Let d = 3728/67977 + -12/581. Find the common denominator of 4/143 and d.
1287
Let y = -2563 + 2570. What is the least common multiple of 11 and y?
77
Let i = -16 + 21. Suppose 0 = -i*y - d + 277, -y + 2*y - 44 = -4*d. Let g = y + -36. Calculate the lowest common multiple of g and 38.
380
What is the common denominator of -17/132 and 2/(-48)*9/81*12?
396
Suppose -4*b = 5*s - 216, -2*s = b - 4*b + 139. What is the lowest common multiple of b and 5?
245
Let y(k) = -4*k - 55. Let d be y(-14). What is the common denominator of 52/23 and (d/(-11))/((-3)/21)?
253
Let t = 260217/32 - 8131. Find the common denominator of 101/14 and t.
224
Calculate the smallest common multiple of 19 - (-2 - (-12 + 6)) and 36.
180
Let x = -35 - -49. What is the least common multiple of 16 and x?
112
Let k = -44 + 49. Suppose s = 3*w + 30, 3*s + 0*s + k*w - 34 = 0. What is the lowest common multiple of 27 and s?
54
Let p = 6841/17190 - 