9205. Calculate the common denominator of -70/9 and b.
99
Calculate the common denominator of ((-4)/30)/((-102)/3995) and 61/21.
63
Suppose 0 = -3*t + 4*t - 19. Let d be t + -2 - (2 - 0). Calculate the common denominator of -5/14 and (-6)/d*(-990)/(-32).
56
Let c(u) = u**3 - u + 1. Let g be c(2). Let d = -2 + g. Let q = 9 + d. What is the least common multiple of q and 22?
154
Suppose -37 - 31 = -4*t. Let r = 30 - t. Let a = r - 28. Find the common denominator of a and 21/11.
11
Let b be (-4)/(-22) + (-378)/(-99). Suppose -4*a = 5*m - 2, -5*m - b = -10*m - 3*a. Let c = 1 + 3. Calculate the least common multiple of m and c.
4
Let u = 1/536 - -1271/1072. What is the common denominator of -61/20 and u?
80
Let k(z) = z**3 - z**2 + 2. Calculate the smallest common multiple of (-20)/(-6)*((-18)/(-30) - -3) and k(3).
60
Let h(y) = 8*y + 4. Let k(x) = x + 1. Let o(r) = -h(r) + 6*k(r). Suppose -5*s + 15 - 5 = 0. What is the least common multiple of o(-3) and s?
8
Suppose -2*i - 2*w = -4*i + 36, -2*w = 2*i - 44. What is the least common multiple of 18 and i?
180
Suppose 0 = 3*h + 6. Let k be 6*(4/(-6) - h). What is the common denominator of (k/42)/((-2)/(-30)) and 93/4?
28
Let d = 148076827840789/15520 - 9541032713. Let c = -8835/37058656 - 1/11939. Let v = c + d. What is the common denominator of -85/6 and v?
30
Let g be (-67629811)/40 + (-4)/(-10). Let h = g - -1688031. Let w = h - -2709. Find the common denominator of -5/14 and w.
56
Let o(c) = -36*c**3 - c**2 + 1. Let m be o(-1). Let z be (-22014)/4*(-15)/m. Let i = z - 2290. Calculate the common denominator of i and -89/20.
40
Let v = -5679/8 + 720. Calculate the common denominator of v and 101/10.
40
Let s = -195985/18 + 10882. What is the common denominator of 13/2 and s?
18
Let l(d) = 0*d + 0*d - 7 + d**2 + 4*d. Let x be l(-5). What is the common denominator of x - 1 - 69/10 and -17/4?
20
Let j = 6817 + -3308. Let m = 190937409/20 + -9550377. Let w = m + j. Find the common denominator of -7/8 and w.
40
Let m = -4 - -6. Calculate the common denominator of (-15)/(-4)*(-68)/(-42) and 1/m - 4/14.
14
Suppose -2*v + 7*v - 120 = 0. What is the least common multiple of 2 and v?
24
Let k(r) = -2*r - 5. Suppose 0 = -4*o - 14 - 2. Calculate the smallest common multiple of 4 and k(o).
12
Suppose 3*q - 2273 = 8*q - k, 0 = 5*q + 4*k + 2283. Let u = q + 2261/5. What is the common denominator of u and -2?
5
Let y(s) = s**2 - 11*s - 6. Let r be y(12). Let z(j) = -3*j**3 + 2*j**2 - 2*j + 1. Let o be z(1). Find the common denominator of 61/10 and (r/(-45))/(o/370).
30
Calculate the common denominator of 3/4 and (1132/8 - 5)/6.
4
Let t be (-1)/2 + 7/(-14). Calculate the common denominator of 145/6 and -1 - ((-148)/(-18) + t).
18
What is the smallest common multiple of 3 and -1*7/(28/(-8))?
6
Let z(u) = -4*u**3 + 2*u**2 - 1. Let t be z(-1). What is the common denominator of ((-1090)/(-300))/(2/t) and (6/(-112))/((-2)/(-296))?
84
Let x be 4*(3 + (-3)/(-3)). Suppose -2*s + 4*j + 20 = 2*s, 6 = 4*s + 3*j. Suppose 5*r - 3*w = x, -s*w = r - 2*w. What is the least common multiple of r and 8?
8
Let c be -2 + 2 - 344/28. Let n = c + 593/42. Calculate the common denominator of n and -3/10.
30
Let n = -9186/11 + 837. Find the common denominator of n and -93/4.
44
Suppose 4*r + 0*r = 760. Let p = r - -3333. Let f = p + -77487/22. Calculate the common denominator of -85/16 and f.
176
Let v = 45424/9 - 5042. Find the common denominator of v and -29/14.
126
Let z(u) = 2*u**3 + 8*u**2 - 5*u - 14. What is the lowest common multiple of z(-4) and (20/(-6))/((-1)/6)?
60
Suppose -q - 1 = 2. Let n = q + 6. Suppose 44 = 4*u - n*f - 41, 4*f + 18 = u. What is the least common multiple of 8 and u?
88
Let f = 35/6 - 1/3. Calculate the common denominator of f and -37/10.
10
Suppose -3*l - 2*d = l - 46, -l - 5*d + 25 = 0. Let y = 1 - l. Let b = 13 + y. Calculate the least common multiple of 22 and b.
44
Let p = -350401/22 + 15939. Let x = -130/11 + p. Let r = -13945/6 - -2316. What is the common denominator of r and x?
66
Let l be 139/(3 - 2) + 2. Suppose -s + 8 = l. Let w = 285/2 + s. What is the common denominator of w and -31/16?
16
Let a = -6913 + 55387/8. Find the common denominator of a and 25/18.
72
Suppose -50803 = -3*r + 5681. Let x be (-2)/(-4) - r/(-8). Let u = 6994/3 - x. What is the common denominator of u and 35/8?
24
Let u be (2/2)/(3 + -4). What is the least common multiple of u/1 - (6 - 9) and 18?
18
Suppose 8 = x - 3*v, 2*x - 31 = -3*v - 6. Suppose 0 = 3*a + 2*a - 15. Suppose 5*g = m - 32, -a*g - g - 13 = m. Calculate the lowest common multiple of x and m.
77
Let c = -1477/24 + 674845/10968. Let u = -30715/7312 - c. Let q = -607/39 + -85/26. Find the common denominator of q and u.
48
Let z(c) = -23*c - 2. Let y be z(-4). Suppose y = 6*r - r. Suppose -2*u = 3*d - 0 - r, -4*d = -3*u + 27. What is the lowest common multiple of 2 and u?
18
Suppose 0*i + 5*i = 70. Let g = -6 + 9. Suppose -g*k + 39 = 2*d, 3*d + 4*k - 35 = 23. What is the least common multiple of i and d?
126
Suppose -3*l + 4*l - 5 = 0. Suppose -l*k + 56 = z, 2*z - k = -3*k + 80. Suppose 0*w + z = 3*w. Calculate the smallest common multiple of 22 and w.
132
Let c be (-2 - 33239/(-11079)) + -1. Let x = -1207591/110790 - c. Calculate the common denominator of (-2)/(-8) + (-1506)/120 and x.
10
Suppose 3*m + 5260 = q + 5*m, 5280 = q - 2*m. Suppose -5*o + 8*d = 3*d + q, 0 = -d - 3. Let n = o + 2015/2. Calculate the common denominator of n and -70/9.
18
Calculate the common denominator of 23/8 and (9/(-2))/(28/(-98)).
8
Suppose -3*h = -r - r + 35, -19 = -r + 3*h. What is the smallest common multiple of r and 4?
16
Let b = -265 - -2653/10. Calculate the common denominator of 27/4 and b.
20
What is the common denominator of ((-24)/44 - 1) + 2 and -49/3?
33
Suppose -3*p - 53 = 28. Find the common denominator of -63/10 and (-1)/(-1) - (-255)/p.
90
Let t = 89 + -79. Suppose 0 = -4*v + 4*o - 8, 2*v + 3*v - 8 = -o. Calculate the lowest common multiple of 0/v - 16/(-1) and t.
80
What is the common denominator of (207/(-72))/((-3)/(-4)) and 11?
6
Let b = -131/12 + 451/24. Find the common denominator of -28/5 and b.
40
Let m = -24399/7 + 3480. Let c = -2728646/27181 - 6052/353. Let s = c - -1230/11. What is the common denominator of m and s?
7
Let a(x) = -x**2 - 2*x - 2. Let o be -2 - 1/(-1) - 2. Let c be a(o). Find the common denominator of 113/10 and 14/c*(-13)/4.
10
Let i = 119 + -113. What is the lowest common multiple of i and 6?
6
What is the lowest common multiple of 225/30 - (-1)/(-2) and 3?
21
Suppose 4*t + 100 = 5*c + 5*t, -t = c - 20. What is the smallest common multiple of c and 104?
520
Let k(u) be the first derivative of -u**3/3 - 2*u**2 + u - 3. Calculate the lowest common multiple of 4 and k(-4).
4
Find the common denominator of 4/(-10) - 16/(-60) and -97/6.
30
Calculate the least common multiple of (2/(-3))/((-8)/24) and (-7)/(-7) - (0 + -21).
22
Suppose -5*w - 25 = 2*n, 5*n + 4*w + 74 = -14. What is the least common multiple of 6 and (16/n)/(2/(-5))?
6
Suppose 546 = 9*j - 2*j. Let k = -105 + 51. Calculate the common denominator of -131/12 and (-5)/2*j/k.
36
Suppose q - 20 = -5*a, 5*a - 22 = -7. What is the least common multiple of q and 1/(-4) - (-82)/8?
10
Let i(b) = b**3 + 6*b**2 + 3*b + 6. What is the smallest common multiple of i(-5) and 28?
112
Let s be ((-18)/(-4))/((-2)/1588). Let f be s/(-12)*(4 + -1). Let a = f - 918. Find the common denominator of 49/20 and a.
20
Let p = 521/8 - 62. What is the common denominator of -121/40 and p?
40
Let r be 0 + -1 + -2 + 994. Let y = r + -6952/7. Find the common denominator of -1 - 23*(-4)/(-44) and y.
77
Let g = -17 + 26. Let z = -2 + 6. Calculate the least common multiple of g and z.
36
Let i(y) = -y + 23. Let l = -13 - -21. Calculate the least common multiple of l and i(9).
56
Let x(w) = -w + 1. Let n be x(-4). What is the common denominator of (-2)/n + (-1266)/(-540) and 246/(-44) + (-6)/(-3)?
198
Let w = -39 - -387/10. Suppose -2*r - v = -17 - 77, -r + 47 = -4*v. Calculate the common denominator of (-2)/(-7)*r/4 and w.
70
Suppose 5*b - 3 = 7. Suppose 4*o - 6 = o - 4*n, 0 = b*o - 4*n - 24. Calculate the lowest common multiple of o and 10.
30
Find the common denominator of (103/(-25))/(24/30) and 58/48*9/(-2).
8