*2 - 9*t - 6. Let w be s(-8). Suppose -2*u + 22 = w*u + o, -4*o - 17 = -5*u. Calculate the least common multiple of 20 and u.
20
Suppose 29 - 5 = 2*k. Let f(g) = 5*g**3 - 3*g**2 - 8*g + 10. Calculate the smallest common multiple of f(2) and k.
132
Let d(j) = 17*j - 1. Let c = 75319/132894 - -18/2461. Let r = 1043/135 + c. Find the common denominator of d(3) and r.
10
Let s be 4/(-3) + (-5)/((-2142300)/(-4184566)). Let h = 1/7141 - s. Calculate the common denominator of -55/4 and h.
20
Suppose -z = -3*h + 102, -4*z - 378 = -4*h + 2*h. Let c = z - -101. What is the least common multiple of c and 68?
136
Let p be (111/27)/((-2204)/(-3846)). Let r = 4/551 - p. Calculate the common denominator of 79/26 and r.
78
Let l = 3587/113584 - 7/496. Let f = 7091/458 + l. Find the common denominator of f and 43/10.
10
Let r(v) = v**2 - 3*v + 4. Let n be (-2)/(-4) - (-35)/14. Let b be r(n). What is the common denominator of -83/2 and 151/(-35) + b/(-14)?
10
Find the common denominator of 308/40*5/(-8) and 1380/64 + 448/(-28).
16
Let s = -32/363 - -10216/17061. Calculate the common denominator of s and -77/2.
94
Let x = 15 + 14. Suppose x + 7 = c. Let o(l) = l**3 - 5*l**2 + 7*l. Calculate the least common multiple of o(4) and c.
36
Let l be -1 + (-2 + 6)*6571/20. Let j = -282533/215 + l. Calculate the common denominator of j and 61/10.
430
Suppose -2 - 10 = 4*h. Let s be (-8 - h - -4) + -9539. Let o = s + 209947/22. Calculate the common denominator of -15/4 and o.
44
Let k = 112 + -57. Calculate the least common multiple of k and 45.
495
Suppose -f - 1 = -4. Let k = f + -2. Calculate the common denominator of -33/4 and 111/(-4) + 4/k.
4
Let p = -7204 - -64903/9. Calculate the common denominator of 15/14 and p.
126
Suppose -4*a + 176 = -3*v - 0, -a + 44 = 2*v. What is the lowest common multiple of 110 and a?
220
Let y be 1270/(-6) + 2/(-6). What is the common denominator of (-66)/16 - (-45)/5 and 1/(-3) - y/(-48)?
8
Suppose 6*g - 2*g = -4, 5*g = 5*u - 20. Suppose 4*z - u*z = 5*p - 6, -5*p + 30 = 5*z. Let i = 12 - 3. Calculate the lowest common multiple of p and i.
18
Let p = -1849 + 7469/4. Calculate the common denominator of p and -119/12.
12
Let w(g) = -17005*g - 3. Let r be w(4). Let o = -814951/12 - r. Let b = o - 356/3. Find the common denominator of -67/8 and b.
8
Suppose -2*b + k - 6 = 3, -b + k = 6. Find the common denominator of 9/5 and b + (-1)/(-3) - 1.
15
Let a be (-9)/(-45)*(206350/(-252))/(-5). Let f = a - 370/9. Find the common denominator of f and (-2)/7 - (-277)/112.
112
Let x be -15 + (-2 - -1 - -6). Calculate the common denominator of (295/x*4)/(-8) and -87/364.
364
Let h = 22549/66 + -3606/11. Suppose 4*i = -2*w - 180, -2*i - 3*i = 3*w + 270. Find the common denominator of h and (-64)/6*w/140.
42
Let x = 382 + -361. Let y = -12 - -30. What is the smallest common multiple of y and x?
126
Suppose -3*s - 12 = -0*s, 0 = 3*g + 3*s - 915. What is the smallest common multiple of 12 and g?
1236
Suppose 105 = 2*v + 103. What is the lowest common multiple of v and 35?
35
Let p(m) = 3*m**2 - 2*m + 3. Let r be p(3). Find the common denominator of 77/16 and (-372)/r*(-1)/(-8).
16
Let k be (0/(-1))/(-5 - -7). Suppose -5*y + k = -10. What is the least common multiple of y and (-4)/(-10) + 747/45 - -3?
20
Let r be (83393/(-6))/(0 + -3 + 0). Let m = r + -4638. Calculate the common denominator of m and -79/154.
1386
Suppose 12 = -2*z - z. Find the common denominator of -4 + 0 - 146/z and 4/17.
34
Let s be 15*(328/(-6))/(-4). Let w = -607/3 + s. Find the common denominator of w and (754/(-348))/(6/9).
12
Let u = -132053/18 + 7339. Suppose 22*t = 7*t + 15. Find the common denominator of (119*t)/(-6 + 12) and u.
18
What is the common denominator of 89/52 and 3 - 235/1950*27?
260
Let g(y) be the third derivative of y**5/60 + 7*y**4/24 + y**3/2 - y**2. Let c be g(-5). What is the common denominator of -91/2 and 212/(-14)*c/28?
14
Calculate the common denominator of -43/14 and (-245)/15 - (-1 + -5).
42
Let u = -987/34 - -43/17. Let n = -10569/22 - -483. Calculate the common denominator of u and n.
22
Let q = -20 + 41. Let u = 168 + -70. What is the common denominator of -23/2 and ((-103)/(-3))/(u/q)?
14
Let c = 364802/33 - 11056. What is the common denominator of -47/15 and c?
165
Let m = 96753/14 - 6907. Calculate the common denominator of (2/(-2))/(260/949) - -2 and m.
140
Let o(w) = -w**2 + 5*w + 1. Let f be o(6). Let j = -5 - f. Calculate the lowest common multiple of 20 and (-48)/(-56)*(j + 21).
180
Let f(o) = -5 - 12*o**2 - 2 + o**3 - 17*o + 0*o**3 + 3*o. Let i be f(13). Let k = i - -32. Calculate the smallest common multiple of 18 and k.
36
Let u = -10888 - -979951/90. Calculate the common denominator of u and -133/36.
180
Suppose -u + 3 + 7 = 0. Suppose -3*x + 4*r + 17 = 0, -3*x - 18 = 3*r - 0. Let l = u + x. What is the smallest common multiple of l and 7?
63
Suppose 1606 = 11*s + 264. What is the lowest common multiple of s and 12?
732
Let s = 2877/8 - 20607/56. Calculate the common denominator of -3/34 and s.
238
Suppose 0 = -3*q + g + 7 + 95, 2*q + 4*g - 54 = 0. Let k(h) = -12*h - 6. Let d be k(-3). What is the common denominator of q and (-5)/d - (-35)/66?
11
Suppose 0 = 3*v + 3 + 9. What is the least common multiple of 15 and (29*(5 + v) + -2)/1?
135
Suppose -q = 35 - 38. Find the common denominator of -109/36 and q/10*1743/(-63).
180
Let n = 13545/7922 - 90/233. Find the common denominator of 49/2 and n.
34
Let q = -87 - -240. What is the lowest common multiple of 63 and q?
1071
Let a = -27066973487/14404995976 + 300/3523727. Let z = -2/511 - a. Let n = 1163/1072 + 99/67. Find the common denominator of n and z.
16
Let t = -1/967 + -18363/9670. Find the common denominator of t and -11/300.
300
Let v = 79/10 + -11/2. What is the common denominator of v and 43/10?
10
Let b = 6907/7460 - -9/373. Calculate the common denominator of b and -31/190.
380
Suppose 303 = -k + 321. What is the smallest common multiple of k and 78?
234
Let o(a) = 4 - 2*a - 2*a**3 + 2*a**3 + 4*a**2 - 2 - a**3. Suppose 5*w - 5 = 0, 0*f - 2*w = f - 24. What is the smallest common multiple of f and o(2)?
66
Calculate the least common multiple of 5 and 184/44 - -6*1/(-33).
20
Let d(b) = b**3 - b**2 - 5. Let t be d(0). Let v be ((-24)/t)/(6/(-20)). What is the lowest common multiple of 20 and (66/4)/((-12)/v)?
220
Suppose -u = u - t - 682, -3*u = -5*t - 1023. Let q = u - -666. What is the common denominator of 97/18 and 22/77 + q/126?
18
Suppose 0 = -4*y - o + 420, 4*o = -3*y + 5*o + 322. Suppose -9*d = -7*d - p - 8, -12 = -4*d + 3*p. Calculate the smallest common multiple of d and y.
318
Let x = -1661551/1043 + 199/149. Suppose 0*u - 5*c + 4774 = -3*u, 0 = -3*u - 3*c - 4758. Let z = u - x. What is the common denominator of -44/3 and z?
21
Let i(n) = n**3 - 3*n**2 - 11*n + 11. Let o be i(5). Let m(g) = -2*g + 15. What is the smallest common multiple of m(o) and 22?
66
Find the common denominator of ((150/(-105))/(-5))/((-60)/119) and (453/(-45))/(2*-1).
30
Let o(f) = f**3 - 13*f**2 + f - 10. Let v be o(13). Suppose -v*k + 2 = 11. What is the common denominator of 50/11 and ((k + 2)*-8)/11?
11
Let t(p) = p**2 + 3*p + 10. Let v(q) = -4*q**2 - 11*q - 40. Let y(o) = 9*t(o) + 2*v(o). Calculate the least common multiple of y(0) and 12.
60
Let h be 30/(-99)*(-48)/4*-2. Let x = 527/77 + h. What is the common denominator of x and 47/41?
287
Calculate the common denominator of -69/38 and (-6)/(-6)*-1 - 378/(-12).
38
Suppose h = -5*n + 20, -5*n - 2*h + 15 = -10. Suppose 17 = b + n. What is the smallest common multiple of 6 and b?
42
Let c be (-2 + -7)/(3 - 60/16). Suppose -4*z + c = -z. Calculate the least common multiple of 9 and z.
36
Let v = -436923898063/2244 + 194707623. Let l = -47/204 - v. Calculate the common denominator of l and -12/11.
22
Let m be -21 + (-1)/(-1)*-2. Calculate the smallest common multiple of (-1 - -37)*m/(-92) and 3/(13/10 + -1).
90
What is the common denominator of -67/21 and 55/(-11)*2/35 + 1?
21
Let j(w) = 2*w**2 + 7*w - 11. Let g be (-1)/((-35)/(-120) - 2/16). What is the lowest common multiple of 4 and j(g)?
76
Let f = 16879 - 371249/22. Let t be (-912615)/572*2/(-85). Let p = 9/221 - t. Find the common denominator of f and p.
22
Calculate the smallest common m