 the common denominator of -39/7 and (-128)/22 - (-4 + (1 - -1)).
77
Suppose 0 = -4*i + 8, 3*i - 6 - 50 = 5*w. Let h be (-337)/w*(-1682)/(-4). Let s = -14177 + h. What is the common denominator of s and -103/12?
60
Let b(n) = -4*n - 6. Suppose -p - 6 = -a, -a = a + 4*p + 6. Let s be 1/a - (-78)/(-18). What is the least common multiple of b(s) and 10?
10
Let v = -1 + 4. Suppose -6*l + v*l = 15. What is the common denominator of ((-66)/l)/(16/30) and 79/18?
36
Let s(o) = o**3 - 6*o**2 - o + 6. Let n be -5*(22/(-10) + 1). Let p be s(n). Suppose 40 = -p*k + 4*k. Calculate the smallest common multiple of 11 and k.
110
Find the common denominator of 25/24 and (1 - 82/80)*-106.
120
Let k = 15832/323 - 878/17. Let u = k + 3131/114. Find the common denominator of 71/2 and u.
6
Suppose -2*p - 6 = -q, -p + 18 = 3*q + 4*p. Suppose 4*a + 4*k - 22 = q*k, a - k = 4. What is the lowest common multiple of ((-45)/21 + 3)*a and 10?
30
Let t = 36/11 + 445/22. What is the common denominator of 226/8*(-4)/14 and t?
14
Suppose -4*o - 20 = -0. Let r = -3993 + 71753/18. Find the common denominator of ((-137)/o)/(48/20) and r.
36
Let i = 3/5281 - -216455/116182. Calculate the common denominator of i and (-2)/(80/166) - -2.
220
Let m(h) = -h**3 - 4*h**2 - 2*h + 2. Calculate the smallest common multiple of 20 and m(-4).
20
Suppose 0*i - 2*i + 4 = 0. What is the lowest common multiple of 18 and i?
18
Let o be (154/(-7662))/(1104/18). Let l = o - 7226849339/8223880. Let h = 6116/7 + l. What is the common denominator of h and -3/8?
40
Let l = -3 + 4. Let x(r) = 4*r**2 - 1. Let s be x(l). Suppose 0*a = -s*a + 66. Calculate the smallest common multiple of a and 8.
88
Suppose -3*b + 4 = -17. What is the smallest common multiple of b and 5?
35
Let o = -2 - -8. Calculate the common denominator of 59/6 and (-1)/(-10)*(o - 115).
30
Suppose -37 = 5*f + w + 2*w, -16 = 4*w. Let y(m) = -m**2 - 7*m + 2. Calculate the lowest common multiple of y(f) and 10.
60
Let h(j) = -4*j + 38. Suppose 0*x - 24 = 4*x. What is the smallest common multiple of 24/(-9)*(0 + x) and h(4)?
176
Let d(z) = -z - 27. Let t(b) = -13. Let y(p) = -2*d(p) + 5*t(p). What is the smallest common multiple of 9 and y(10)?
9
Let i be 1/(3/(-15))*-6. Calculate the least common multiple of 6 and 2/(-12) - (-275)/i.
18
Let o(r) = -r**3 + r**2 - 2*r - 1. Let y be o(2). What is the common denominator of 116/120 + 6/y and 11/7?
70
Find the common denominator of ((-627)/144)/(-1) + (-2)/1 and -68/3.
48
Let c(s) be the first derivative of s**4/4 - 2*s**3/3 - s**2 - s - 2. What is the lowest common multiple of c(3) and 2?
2
Let u(v) = -v**3 + 4*v**2 - 3*v + 3. Let a be u(3). Calculate the common denominator of a - (-226)/(-24)*2 and -57/10.
30
Suppose r - l - 14 = l, 5*r - l = 61. Suppose 0 = -2*w - 2*w + 28. What is the least common multiple of (-2 - -1) + w*1 and r?
12
Let k = 1/1042462 - -21897435531/10424620. Let i = 2101 - k. Let d = -85/7 - -95/14. Find the common denominator of i and d.
140
Suppose -2*a + 116 = 3*a + 3*p, 0 = 3*a + 3*p - 72. Let h = -19/322 + 4153/805. Calculate the common denominator of h and (4/3 + -1)*a.
30
Let d(r) = -r**3 + 19*r**2 - 19*r + 24. Suppose 2*v - 5 + 1 = 0. Suppose v*w - 5*w = -3. What is the smallest common multiple of w and d(18)?
6
What is the least common multiple of (-48)/(2/4*3 + -3) and 44?
352
Let s(q) = 31*q**3 + q**2. Let l be s(1). Suppose -4*r + l = 2*g, -3*g + 16 = -3*r - 5. Calculate the lowest common multiple of g and 1/(3 - 64/22).
110
Let w = -377785/18 - -20982. What is the common denominator of 85/4 and w?
36
Find the common denominator of 45/11 - (-2)/11 and -19/23.
253
Let o(u) = u. Let y be o(1). Calculate the least common multiple of (-2)/(y + (-20)/16) and 2.
8
Let x = -516/17 + 2501/102. Let k = -70/3 - x. What is the common denominator of 53/10 and k?
10
Let i = -7802662562/2519 - -34071520/11. Let w = i - -10824083/105798. Let o = -138/77 - w. Calculate the common denominator of o and 95/8.
24
Suppose 5*x + h + 3 = 0, 8 = 2*h + 2*h. Let d = x + 3. What is the smallest common multiple of 10 and d?
10
Suppose 1502 = 3*r - 4*r. Find the common denominator of 67/26 and r/60 - 2/(-10).
78
Let h = 3 + 3. Find the common denominator of 4 + -1 - 153/h and 39/5.
10
What is the least common multiple of 8 and 14 + 7 + 3*-1?
72
Let p = -87781/4830 - -6/805. Let j = -2/13862229197 - 3099441963814213/788899463601270. Let w = 1/4065 + j. What is the common denominator of w and p?
42
Find the common denominator of -64/9 and (8/48)/(10/174).
90
Let p(g) = -g**2 + 7*g - 1. Suppose -19 = -5*w + 31. What is the least common multiple of w and p(6)?
10
Suppose 2 = -0*w + w. Let x = 5/204 + -1195/204. Find the common denominator of x and ((-3)/(-15))/(w/(-415)).
6
Let n be (11834/756)/(-1) - -1. Let q = n + -5/378. Find the common denominator of 47/10 and q.
30
Suppose 7*i - 19 - 37 = 0. What is the least common multiple of 16 and i?
16
Let l(r) = -r**2 + 16*r - 55. What is the least common multiple of 9 and l(6)?
45
Let x(k) = 250*k - 1. Let b be x(1). Find the common denominator of 6/11 and 4/12 - b/99.
11
Let a(f) = -2*f - 4. Calculate the lowest common multiple of 19 and a(-5).
114
Let n(o) = 4*o**2 + 4*o + 3. Let h be n(-3). Let d = h - 19. Let v = d - -2. Calculate the lowest common multiple of 1 and v.
10
Let u be 15/(-702) + 3/(-18). Let w = 4271/936 + u. Find the common denominator of w and (2 - 0)*284/(-64).
8
Suppose h - 17 = -h - 5*j, -58 = -4*h - 2*j. Let b be h/(-12)*(-24)/(-22). Let u = 1057/22 - b. Calculate the common denominator of u and 83/18.
18
Let w be ((-18)/8)/(2/8). Find the common denominator of 51/5 and w/(-12)*16/(-10).
5
Let j = -13 - -18. Calculate the common denominator of (-1)/(-3) - (-1771)/168 and 205/4*j/(-50).
8
Find the common denominator of -81/4 and -26*(-4)/(-64)*-2.
4
Let w be (-10)/(3*(-1)/(-6)). Let r be 12/w - 14/10. Calculate the lowest common multiple of 2 and (-35)/r + 6/(-4).
16
Let o(g) = 3*g + 2. Suppose -y + 2*x = 3*y - 4, y - 4 = 2*x. Suppose 2*a - 3 - 7 = y. What is the least common multiple of a and o(2)?
40
Suppose 0 = -q + 3. Suppose 0 = q*v - 0*v - 6. Suppose v + 1 = m. What is the lowest common multiple of m and 9?
9
Suppose 5*o - 2*d - d = 27, -3*o + 23 = 5*d. Calculate the smallest common multiple of 15 and o.
30
Let r(f) be the second derivative of f**4/12 + 4*f**3/3 - 6*f**2 - 6*f. What is the lowest common multiple of 16 and r(-10)?
16
Suppose 2*n - 1262 = r, -3*r - 3015 = -2*n + 783. Let x be 2/9 + r/576. Let j = x + 29/12. Calculate the common denominator of j and 23/8.
16
Suppose 5*g - 70 = -5*p, 30 = 4*g + 2*p - 22. Calculate the smallest common multiple of g and 48.
48
Let u(t) = -t + 6. Let k be u(4). Find the common denominator of 447/(-36) + 2/k and 43/8.
24
Let m(p) = -16*p**3 - 2*p - 2. What is the lowest common multiple of m(-1) and 14?
112
Calculate the smallest common multiple of 11 and 1/(-8)*-38 - 5/(-20).
55
Let z be 22/(-1) - (2 - 3). Let b be (-2)/(-7) + 6/z. Suppose 14 = 2*v + 3*w - 11, 2*w + 10 = b. What is the least common multiple of 16 and v?
80
Let i = -41905/12 + 3494. Calculate the common denominator of -10/7 and i.
84
What is the common denominator of -4 + (-1 - 380/(-36)) and 32/3?
9
Let n(v) = v**2 - 5*v + 4. Let w be n(5). Suppose -4*p - 10 = -2, y + w*p + 2 = 0. Suppose t - 36 = -3*t. What is the least common multiple of y and t?
18
Let v = 817/4 + -207. What is the common denominator of v and ((-1)/(-6))/(4/18)?
4
Suppose -4*i + 2*j - 12 = -9*i, -5*j = 20. Suppose -i*l = -7*l + 66. Calculate the least common multiple of 22 and l.
22
Let b be (-7124)/(-10) - 10/25. Let z be 2/5 - b/70. Let s = 76/5 + z. What is the common denominator of s and -23?
7
What is the smallest common multiple of (7 + -5)*(2 - 58/(-4)) and 2?
66
Calculate the common denominator of -23/7 and (-12)/18*(-37)/(-8).
84
Calculate the common denominator of -115/6 and (-105)/9*(-9)/(-6).
6
Calculate the common denominator of -68/3 and (-53)/21 + -1 + 0.
21
Suppose -5*q = -2*q - 2*g - 9, 2*q = 4*g + 14. Let a = q - -11. Calculate the lowest common multiple of a and 10.
60
Let s(w) = w**3 - 7*w**2 + 5*w. Let a be s(6). Let d be (8/a)/(2/(-9)). Suppose -2*f + d - 2 = 0. What is the least common multiple of 18 and f?
18
Let 