0))/(69/27 - 3) and 1/(-21)*(-265)/(-10)?
336
Let j = 1/52981 - -83127185/211924. Let v = j - 383. What is the common denominator of v and 10/(-8)*231/75?
20
Find the common denominator of (54/45)/(77/(-15) + 3) and -109/130.
1040
Let z = -1752 + 17537/10. Let w(k) = -k**2 + 7*k - 4. Let h be w(7). What is the common denominator of h/(-6) - (-100)/6 and z?
30
Calculate the common denominator of (-227)/64 - 30/(-6) and 23/28.
448
Suppose -4*k + 21 = 2*j - 23, -42 = -4*k - j. Calculate the lowest common multiple of 3 and (-17)/(-2) + (45/k - 4).
9
Let b = -162081 - -1294525/8. Let n = b + 271. What is the common denominator of -48/13 and n?
104
Let b(u) = -11*u - 1 - u**3 - 3 + 13*u + 7*u**2 - 2. Let m be b(7). Calculate the least common multiple of 12 and m/(-10)*(-100)/8.
60
Let y = 3189/214 + -1109615/1926. Let b = y + 567. Calculate the common denominator of b and -85/8.
72
Let k be -2 + -8612 + 3 + 1. Let q = -120593/14 - k. What is the common denominator of q and 20/11?
154
Suppose -38 = -4*x + 18. Suppose 102 + x = 4*r. Find the common denominator of r and (-364)/16 - (0 + 0).
4
Suppose z - 4*k + 1 - 13 = 0, -2*k = 8. Let y = 168/23 + 1113/46. Find the common denominator of (-1 + z)/(12/44) and y.
6
Let o = -311 - -3417/11. What is the common denominator of o and 38/6*(-35)/10?
66
Let y(d) = -d + 48. What is the lowest common multiple of 7 and y(-6)?
378
Let j(i) = -i - 5. Suppose -5*o + 3*o - 224 = 0. Let n be 2/6 + o/12. What is the smallest common multiple of j(n) and 8?
8
Let w(k) = k**3 - 6*k**2 - 6*k - 4. Let c be w(6). Let g = -24 - c. Calculate the smallest common multiple of 8 and g.
16
Suppose -16*l - 480 = -64*l. Calculate the lowest common multiple of 168 and l.
840
Suppose -5*z - 5*b - 22 = -2, 24 = -z + 3*b. Let t = z + 12. Suppose -t*o = o - 40. Calculate the least common multiple of 10 and o.
10
Let a = 413 - 401. Calculate the least common multiple of a and 30.
60
Calculate the common denominator of -54/25 and (-47*(-4)/(-20))/(-11).
275
Let x = -6/361 - 52309/2166. What is the common denominator of (-6 + 1636/96)/(10/4) and x?
12
Let d = -44 - -168. What is the smallest common multiple of d and 20?
620
Suppose 3*j - 13 = -4*f + 14, -4*j = 5*f - 34. Suppose -f*g = -g - 40. Calculate the least common multiple of g and -1*(6*1)/(-1).
24
Let v be (3 + -6)*(-2)/6. Let z be v/(-2) + (-42)/(-4). Let j = z - 8. Calculate the smallest common multiple of j and 3.
6
Find the common denominator of 79/16 and ((-2825)/145 - 5)/(-8) + -3.
464
Let z(b) = -b**3 - 8*b**2 - 11*b - 4. Let c be (7/(-4))/((-1)/12). What is the smallest common multiple of c/5 + 1/(-5) and z(-7)?
24
Suppose 2*j = -2*j + 148. Let t be (j - 4) + 3/(-1). What is the smallest common multiple of (-334)/(-30) - 4/t and 6?
66
Let b = -277/8 + 243/8. Find the common denominator of 25/824 and b.
824
Find the common denominator of -145/108 and -3 - 1806/(-216) - 3.
108
Let i = -83735628633 + 2394001622883347/28590. Let v = i - -1/2859. Calculate the common denominator of v and (-1 + -2)/(7/(-3)).
70
Let i be (733725/(-132))/(6/(-4)). Let f = -14973/11 + i. Let w = f - 2298. What is the common denominator of -79/14 and w?
14
Let w = -55 + 53. What is the common denominator of -53/14 and (94/32)/(6/w - -4)?
112
Suppose 0*u + 3*u = -4*i + 112, 0 = -4*u + 16. Let d = -6 + i. What is the least common multiple of d and 5?
95
Let f be 1 + 0 + 2 - (-6104)/136. Let r = f - 20471/408. Calculate the common denominator of r and -5/3.
24
What is the common denominator of -71/16 and 4263/245*2*1/16?
80
Let z(b) = 2*b**2 + 6*b + 12. Let f(q) = 3*q - 20. Let o be f(6). Suppose 2*c = -c + 12. What is the lowest common multiple of z(o) and c?
8
Let x = 12 + -2. Suppose -3*r = -2*u - 2, -13*r + 8*r = -5*u. Calculate the least common multiple of x and u.
10
Let b = 11743 - 140833/12. Let s = -197935/24 + 8246. What is the common denominator of s and b?
24
Let k = 697/30 - -214/15. Calculate the common denominator of -61/32 and k.
32
Let m = -1974 - -7931/4. What is the common denominator of -47/7 and m?
28
Let x = 2911 - 1293. Calculate the lowest common multiple of x and 4.
3236
Let i(l) = l**2 - 4*l + 20. Let p(q) = q**3 - 15*q**2 + 4. Calculate the lowest common multiple of i(6) and p(15).
32
Let z = -291 + 321. What is the lowest common multiple of z and 70?
210
Let n be (3 - -2) + -9 + 7. Suppose 5*x = 4*p + 7, -n*x = -2*p - 2*p - 1. Suppose 0 = -2*v, 0*c + p*c = -v - 24. Calculate the common denominator of 2/7 and c.
7
Let m = 8 + 14. Suppose 19 = u - 3. Calculate the lowest common multiple of m and u.
22
What is the common denominator of 67/318 and 33/(-29150)*5*(-92)/6?
1590
Let a(u) = -u**3 + 14*u**2 - 22*u - 3. What is the lowest common multiple of 42 and a(12)?
42
Suppose -16 = v - 3*v. Let u(a) = 0*a**2 + a**2 + v*a - 6 - 2*a**2. What is the smallest common multiple of 8 and u(4)?
40
Let g(h) = -2*h**3 - 3 + 0 + h**3 + h + 5*h**2 - 2. Let b be g(5). Suppose b = -3*j - 0*j + 12. What is the smallest common multiple of j and 9?
36
Let y be (-2)/(-8) - (-5)/(-4). Calculate the common denominator of (-7 + (-1496)/(-832) - -5)*-4 and (2/(-6))/(y/58).
78
Suppose 2*p - 1612 = a, -2*p + p + 1609 = -a. Let s = -276217/172 - a. Let z = s + -12175/1548. What is the common denominator of z and 4/7?
63
Let j(p) = -p**3 + 4*p**2 + 2. Let o(u) = 2*u + 1. Let d be o(3). Let h = -4 + d. What is the least common multiple of 9 and j(h)?
99
Find the common denominator of -2 - ((1722/(-180) - -3) + 0) and -121/48.
240
Suppose 5*g + 2*g = 84. Suppose 2*u - 1 = 23. Calculate the least common multiple of u and g.
12
Let j = -16 + 20. Suppose -19 + 3 = -4*x + j*d, x + 2*d = 1. Suppose -x*h - 14 = -41. Calculate the smallest common multiple of 8 and h.
72
Let g = -264353/4 - -67281. Let q = -1179 + g. Calculate the common denominator of -65/8 and q.
8
Calculate the common denominator of -103/12 and 8/(4480/1945) + -3.
336
Suppose 5*q - 20 = -4*s, 37 = 4*q - 0*q - s. Suppose -3*a - 4*t + 34 = 0, a - 9 = -7*t + q*t. Calculate the least common multiple of 8 and a.
40
Let s(i) = i**2 + 2*i - 10. Let m be s(8). Calculate the common denominator of -79/15 and -7 - -5 - m/6.
15
Let z = -15 + 17. Suppose -z*g + g = -9. What is the least common multiple of 4 and g?
36
Let s(d) be the first derivative of d**3/3 + d**2/2 + 4*d + 1. Let u be s(0). Suppose u*i = 7 + 33. What is the lowest common multiple of 5 and i?
10
Suppose 4*k + 5*q + 33 = 7*k, -2*k + 4*q = -24. Let o = 7 + -3. What is the smallest common multiple of k and o?
12
Let z be 2/(-12) + -4 + 7420/(-12). Let u = z + 650. Find the common denominator of u and -50/3.
6
Let z = -170174501/7331 + 23213. Let o = -153995/161282 + z. What is the common denominator of o and -79/248?
2728
Let q be 3 + (-18)/(-17796) - (-1 + 4). Let g = q - 80837/13347. Find the common denominator of -91/4 and g.
36
Let i = -14371/2340 + 141/65. Find the common denominator of -67/45 and i.
180
Let r be (-3)/(3/(-3)) + 1. Suppose 4 = 3*w - n, 0*w - r*n = -2*w + 6. Calculate the lowest common multiple of (w + 3)/((-1)/(-2)) and 18.
72
Let p = 6 - 0. Suppose -y + p = -4. Calculate the least common multiple of 20 and y.
20
Suppose -230 = -5*b + i, 5*b + i - 82 = 138. What is the smallest common multiple of 144 and b?
720
Let t(r) be the third derivative of r**5/60 - 19*r**4/24 + 8*r**3/3 - 7*r**2. Let d be t(15). Find the common denominator of (10/15)/(d/(-6)) and 25/24.
264
Let y(n) be the first derivative of -n**4/4 + n**3/3 + 2*n**2 - n - 6. Suppose -4*t + 4 = -4. What is the lowest common multiple of y(t) and 5?
15
Let p(o) = 2 - o - 5*o + 4*o + 7*o**2 + 4*o. Let j be p(-2). Suppose h = 5*m - j - 28, -4*h - 36 = -2*m. Calculate the smallest common multiple of 16 and m.
80
Let o = -104 - -192. Suppose -h - o = -3*h. Suppose 7*g - h = 3*g. Calculate the least common multiple of 9 and g.
99
What is the smallest common multiple of 8 and (-44)/(-2) + (10 - (1 + 4))?
216
Suppose -n = -z + 7, 16*n = 20*n - 8. Calculate the lowest common multiple of z and 74.
666
Let q(x) = x**3 - 3*x**2 - 4*x + 2. Let t be q(4). Suppose -3*y + 3*r + 2*r - 18 = 0, 0 = t*y - r + 5. Find the common denominator of (-125)/10*y/30 and 63/4.
12
Suppose -8 = -3*k - 2. Suppose -t - 5*o = -18, -3*t + 4*o - 7 =