-2. What is the common denominator of (-255)/(-24)*(-1 - 1) and w?
4
Let r = 4903/4 - 1242. Find the common denominator of r and -87/10.
20
Suppose 0*m - 25 = -5*m, n + 16 = 4*m. Suppose 2*f - 2 = 0, -2*o - f = -3*o - 19. Calculate the lowest common multiple of n and o/(-3) - (3 + -2).
20
Let b = -540404/9 - -58462. Let l = b + 1579. What is the common denominator of l and -41/10?
90
Suppose -y - 2 = -3*r, -10 = -5*y - 6*r + r. Let f = 36 - 24. Calculate the least common multiple of f and y + 0 + 5 + 2.
24
Let j = 2252/615 - -1/205. What is the common denominator of j and 29/2?
6
Suppose 21 = 5*i + 1. Suppose -7 = 2*k - 2*n - 1, i*k + 4*n = 28. Calculate the smallest common multiple of -9*(-1 + 2/6) and k.
6
Let q = 4884 - 97763/20. Let x be (3/940)/3*9643. Let t = -2/235 + x. Find the common denominator of q and t.
20
Let y = -20249/5140 + 23/257. Find the common denominator of y and 47/24.
120
Suppose -2*m + 200 = 3*m. Let x = 6 - 1. Calculate the smallest common multiple of m/6 + 3/9 and x.
35
Let t = -50578/13 + 3900. Let h = t + -2662/195. Calculate the common denominator of h and -61/9.
45
Let a(w) = -16*w + 7*w + 6 - 6*w**2 + w**3 - 3. Let p be a(8). Suppose 3*d = -h + p, -4*d = -4*h - 68 + 16. Calculate the lowest common multiple of d and 8.
72
Suppose 0 = -3*k + 9 + 9. What is the least common multiple of 3 and k?
6
Let u = -3 + 1. What is the common denominator of (2 - (-47)/8) + u and -2 - 3/66*-38?
88
Calculate the common denominator of (-4 - (-120)/28) + (-108)/(-14) and -13/64.
64
Suppose 2*z = -10, -5*t + 3*z = -t - 47. What is the least common multiple of t and 8?
8
Let s = -652 + 1361/2. What is the common denominator of -7/4 and s?
4
Let q(b) = 6*b + 4. Calculate the least common multiple of -2 - (-1 + -10 + -1) and q(3).
110
Let l = 20 - 26. Let o = 18 + l. Calculate the least common multiple of 10 and o.
60
Let s(l) = l**3 + 6*l**2 - 10*l - 11. Let x be s(-7). Calculate the common denominator of -2 + 3 - 62/(-18) and (515/(-20))/(x/4).
90
Suppose 2*u + 8 - 56 = -5*k, 4*u + k = 60. Calculate the least common multiple of u and 6.
42
Find the common denominator of ((-20)/50)/(2/46) and -41/7.
35
Let p = -2 - -6. Suppose -p*f = 2*u - 26, 0*u + 21 = -f + 5*u. What is the smallest common multiple of f and 11?
44
Let l = -6780 + 122099/18. Let y = 7126/13 + -129659/234. Calculate the common denominator of l and y.
18
Let w(d) = -d**3 - 7*d**2 + 6*d - 15. Calculate the lowest common multiple of 8 and w(-8).
8
Suppose 3*r + 16 = -8. Let q(g) = -g**2 - 10*g + 2. Suppose 3*b = 5 + 55. What is the lowest common multiple of q(r) and b?
180
Let q = -11 - -21. Calculate the least common multiple of 10 and q.
10
Let k(p) = -p**3 - 4*p**2 + 2. Let w be k(-2). Let r be (-25)/4 - w/24. What is the common denominator of r/(-6) + 73/(-24) and -9/8?
24
Suppose 2*p = 2*f - 3*f + 630, 3*p - 3*f = 927. What is the common denominator of (-6)/(-27) - p/(-36) and -65/4?
12
Let r = 13472 - 350353/26. What is the common denominator of 101/10 and r?
130
Let h(l) be the third derivative of l**6/120 - l**5/12 - l**4/3 + 7*l**3/6 - 2*l**2. Let m be h(6). Calculate the lowest common multiple of 5 and (-4)/m*10/4.
10
Let x = 766/415 + 9/166. Find the common denominator of 19/3 and x.
30
Find the common denominator of 57/34 and (-5 + 45/10)/((-6)/113).
204
Let n be 4/(-14) + 60/14. Let x = n - -3. What is the smallest common multiple of 11 and x?
77
Let d(z) = 13*z**3 - 2*z**2 + 1. Suppose -g + q + 20 = 0, -3*g - 3*q - 20 = -4*g. What is the lowest common multiple of g and d(1)?
60
Let t be ((-39)/52)/((-2)/(-16)). Find the common denominator of ((-33)/15)/(t/105) and 59/6.
6
Suppose 0 = 4*y - 0*c + c - 53, -2*y = -5*c + 1. Suppose 5*l + 0 = 200. Suppose 4*r = 6*r - l. What is the smallest common multiple of y and r?
60
Suppose 0 = -4*y + 9*y + 5. Let v(s) = 2*s + 3. Let k be v(-2). Calculate the least common multiple of k - y - (1 + -3) and 8.
8
Let z = -74 - -39. Suppose -s - 23 = 2. Let v = s - z. Calculate the smallest common multiple of 8 and v.
40
Calculate the common denominator of -71/20 and 126/(-4) + (-1 - -1).
20
Let y(f) = f + 10. Suppose 0 = -4*a + 4*s + 36, -3*a - s + 25 = -2*s. What is the lowest common multiple of y(-8) and a?
8
Let j(y) = 6*y + 1. Let t be j(8). Suppose x = 3*x + 5*n - t, 5*n = -4*x + 83. Let b = 25 - x. Calculate the least common multiple of 18 and b.
72
Let u = 9/227 - -19731/454. Find the common denominator of u and -87/86.
86
Suppose -4 = 4*b - 4*h, 6*h - 8 = 2*b + 2*h. Let w be 1616/(-140) - (-1 + b). Let r = -72/5 - w. What is the common denominator of -101/6 and r?
42
Let k = 97825/16 - 6112. What is the common denominator of 53/4 and k?
16
Let q be 2/(-4) - 3156/1672. Let g = 35/19 + q. Calculate the common denominator of g and 9/15 - (-377)/(-45).
99
Let w = -7139/4 + 1798. Calculate the common denominator of -5/14 and w.
28
Let x(a) = -6 + 21 + 2*a**2 + a**3 + 30 - a**2. What is the common denominator of ((-2)/12)/((-1)/58) and x(0)?
3
Let v(g) = 8*g**2 + 2*g + 3. Calculate the least common multiple of 10 and v(-1).
90
Let y(f) = f**2 - 18*f + 15. What is the lowest common multiple of y(-9) and 14?
1806
Suppose 0 = s - 2, 3*z - 2*z - 4*s + 15 = 0. Calculate the common denominator of 17/9 and (1/z)/((-1)/(-1)).
63
Let d be -1 + 3 + 7/(-7). Let c(f) = 16*f**3 + f**2 - f. Suppose -12 = -5*v + 4*v. What is the least common multiple of v and c(d)?
48
Let z(h) = h**2 - 5*h + 2. Let u be z(6). What is the common denominator of (-2)/u*(-492)/(-9) and 64/3?
3
Let d = -364651/54 + 6752. What is the common denominator of d and 27/16?
432
Let c = 230 + -98. Calculate the common denominator of (-1)/1 + c/9 and ((-4)/(-14))/((-2)/(-8)).
21
Let y be (12/10)/(2/5). Let d = -12203 + 170757/14. Calculate the common denominator of d and (y/(-18))/(2/(-71)).
84
Let f = 1 + 4. Let g = 0 - 8. Calculate the lowest common multiple of 2/(-8) - 42/g and f.
5
Let d = 27/38 + -1321/228. Find the common denominator of d and 77/16.
48
Let l be 2/3 + (-2)/3. Suppose 3*h - 39 = -l*h. Let n = h - 1. Calculate the smallest common multiple of 6 and n.
12
Let q = 4272095/746586 + 2/41477. What is the common denominator of q and 125/18?
18
Calculate the common denominator of 63/10 and (-4 + 800/198)*21.
330
Let t = 6 + 0. Suppose w + 50 = t*w. What is the lowest common multiple of 2 and w?
10
Let s be 152939/(-72) - 16/72. Let u = 2115 + s. Find the common denominator of u and 55/9.
72
Suppose -30 = -3*a + 3*c, 2*a + 0*c = 3*c + 25. Suppose -a*g = -0*g. Find the common denominator of -45/14 and -1 + (46/(-28) - g).
14
Find the common denominator of 0 - (-2)/18*-61 and -30/11.
99
Let j = 18 - 0. Calculate the lowest common multiple of j and 10.
90
Let r = -12 + 20. What is the common denominator of (117/24)/(6/r) and (-1)/(-6)*(-318)/16?
16
Let x = -67/52 + 20/13. Let s be (-6)/(-3) - (-6)/(-4). Let r = x + s. Calculate the common denominator of 93/8 and r.
8
Calculate the least common multiple of 762/14 - (-2 + (-17)/(-7)) and 22.
594
Suppose 4*b - 2*h = 76, -4*h - 6 - 2 = 0. Calculate the smallest common multiple of 16 and b.
144
Let r = 2/4923 - -275678/24615. What is the common denominator of r and -68/15?
15
Suppose -15*w = -11*w + 4. What is the common denominator of ((-356)/(-18) - 0)/(-4) and (21/280)/(w/44)?
90
Let k(s) be the second derivative of -s**3/2 - s**2 + 3*s. Suppose 29 - 5 = 2*i. Calculate the lowest common multiple of k(-2) and i.
12
Let s be ((-4)/6)/(3/(-18351)). Let y = 24529/6 - s. Let b = -733/7 - -101. Find the common denominator of b and y.
42
Let l = -2832/5 + 5777/10. Let f(i) = 10*i**2 - 2*i + 6. Let b be f(3). What is the common denominator of l and (-205)/b - (1 - 2)?
90
Suppose -2*j - 23 + 5 = 0. What is the lowest common multiple of 25 and 5/(15/(-12)) - j?
25
Calculate the lowest common multiple of 27 and 852/18 + (-4)/(-6).
432
Let o = -1 + 10. Suppose -5*p = 3*r + r - 31, 5*p = 4*r - 41. What is the least common multiple of o and r?
9
Suppose 0 = -4*c + 16 - 8. What is the lowest common multiple of c and (-3 - -2)/(2/(-20))?
10
Let i = -36118 - -1914158/53. Let t = -4777/318 + i. Find the common denominator of t and (-2)/9 - 1022/180.
30
Let a = -8 + 12. Let v be (6/a)/(2/(-4)). Calculate the common denominator 