
Let x = 44/123 - 9577/984. Calculate the common denominator of -95/8 and x.
8
Find the common denominator of -65/18 and (14/4)/(-4 + (-64)/(-12)).
72
Let z(a) = -a**2 + 12*a - 11. Calculate the least common multiple of z(9) and 18.
144
Let y = -60 - -86. Find the common denominator of 5/6 and (2/(-3))/(y/767).
6
What is the smallest common multiple of (-4)/(-3 - (-28)/10) and 4?
20
Let t(d) = d**2 + d + 6. Suppose j - 26 = -3*h, -3*h + 7*h + 5*j = 20. What is the smallest common multiple of t(0) and h?
30
Let n be (-6)/21 - (-161873)/10479. Let a = n + 5/998. What is the common denominator of 43/11 and a?
66
Let m = 8574 + -171527/20. Calculate the common denominator of m and 93/20.
20
Let i(m) = -m - 9. Let l be i(-8). Let v be ((-2)/(-4))/(l/(-2)). Find the common denominator of (-98)/24 - (-2 + v) and -9/2.
12
Find the common denominator of ((4444/(-24))/(-11))/1 and -85/6.
6
Let p = 2683/2265 - 48/151. Calculate the common denominator of p and 37/6.
30
Let z(q) = q - 6. Let f be z(9). Let i = f - -2. Suppose -62 - 8 = -i*t. What is the lowest common multiple of 4 and t?
28
Let s = -151 - -95. Find the common denominator of (s/(-4))/(108/(-39)) and 5/6.
18
Calculate the lowest common multiple of 22 and 10 + (-2)/(-3)*-3.
88
Calculate the lowest common multiple of (0 - -19) + (-2 - -5) and 16.
176
Let j = 25/166302 - 1988747917/169295436. Let l = j + -3/1018. Let y = 514/3 + -2227/12. Calculate the common denominator of y and l.
4
Let d(j) = j**2 - j. Let c be d(2). Suppose c*u - 4*u = 0. Suppose u = -3*f + 7*f - 80. What is the least common multiple of f and 18?
180
Suppose 3*o - 4*c - 7 = 0, -5*o - 23 = 2*c - 0*c. Let b = o - -5. Calculate the least common multiple of 11 and b.
22
Let r = 2 - -6. Let y(p) = -p**3 - p**2 + 3*p + 3. Let t be y(-4). Suppose -2*g + 56 = 3*v, -4*g + v + t = -45. What is the least common multiple of g and r?
88
Let r = -5 - -7. Suppose 0 = r*u + 3*w - 573, -4*u - u = 5*w - 1435. What is the smallest common multiple of (-2)/(-7) - u/(-21) and 4?
28
Let s = -117 - -521/4. Let f(x) = -2*x**3 + x**2 - 2*x - 6. Let o be f(-4). What is the common denominator of s and (o/6)/((-50)/15)?
20
Let m(i) = -i**2 + 14*i. Let k be m(10). Suppose -3*v - k = -5*v. Calculate the smallest common multiple of v and 18.
180
Let u = 2983 - 9025/3. Find the common denominator of 27/8 and u.
24
Suppose -4*q + k + 11 = 0, 4*q + 3*k + 12 = 43. Suppose 3*z - 20 = -2*t, -z - q*t + 32 = 3*z. What is the least common multiple of z and 3?
12
Let f(o) = 8*o**3 - o**2 + o. Let x be f(1). Let l = x + -7. What is the lowest common multiple of l and 11?
11
Let b(d) = d - 1. Let f be b(4). Suppose -f*m + 80 = m. What is the lowest common multiple of 12 and m?
60
Let v(u) = -u**3. Let r(h) = -7*h**3 - 8*h**2 + 7*h - 11. Let d(p) = r(p) - 6*v(p). Calculate the lowest common multiple of 1 and d(-9).
7
Let s = -111 + 200. Find the common denominator of -1 + (-29)/10 + (-6)/(-8) and -4 - -4 - s/14.
140
Suppose -2*j - 17 = -3*q, 0*j - 5*j - 17 = q. Suppose -2*u + 22 = y, 7*u - 55 = 2*u + 2*y. Calculate the smallest common multiple of u and q.
33
Let v(k) = -4*k - 5. Let w be v(-4). Let d = w - 6. Let x(o) = o**3 - 6*o**2 + o - 4. Calculate the least common multiple of x(6) and d.
10
Let q = 148 - 86. What is the least common multiple of q and 4?
124
Suppose n = -4*u + 24, -5*n + 56 = -0*u + 4*u. What is the smallest common multiple of 2 and n?
8
Suppose f = -2 + 6. Let a(l) = 2*l - 4. Let x(h) = -4*h - 4. Calculate the smallest common multiple of x(-3) and a(f).
8
Let x be (-3)/12*-10*2. Suppose 34 = 3*h - j, h - 46 = -2*h - x*j. Calculate the smallest common multiple of h and 4.
12
Calculate the common denominator of 10/(-64)*(0 + -14) and (-615)/(-20)*(-1)/(-6).
16
Let c(n) = n**2 - 15*n - 18. Calculate the smallest common multiple of c(17) and 10.
80
Let w be (-8789)/44 - (-1)/(-4). Let p = 1605/8 + w. Calculate the common denominator of 85/4 and p.
8
Let w be (-410)/561 + 14/21. Let y = w - 4603/1122. Find the common denominator of -121/12 and y.
12
Let h = 9 - 0. Suppose -3*c = -2*g + 2, -3*c - 4*g = -0*g - 22. Let i = -1 + c. Calculate the lowest common multiple of h and i.
9
Suppose -12 = -14*f + 12*f. What is the smallest common multiple of f and 6?
6
Let b(o) = -o + 15. Let i(v) = v**3 - 4*v**2 - v + 1. Let d be i(2). Calculate the smallest common multiple of 8 and b(d).
24
Let k = -2607/5 + 517. Find the common denominator of 33/4 and k.
20
Let a = 2819 - 30971/11. Suppose p - b = -751, -3*p - 3010 = p - 2*b. Find the common denominator of 2/(-11) - p/33 and a.
33
What is the common denominator of (-4)/108*(-2466)/12 and (-2)/(-8) + (-58)/(-8)?
18
Let o(r) = 3*r - r - 6*r + 3*r + 3. Calculate the least common multiple of o(-4) and 10.
70
Let a be 2/5 - 6/(-10). Calculate the smallest common multiple of (-2)/2*1*-6 and (-3)/(-2) + a/2.
6
Calculate the common denominator of (-215)/(-20) - (-2)/(-8) and (55/12 - -2) + -1.
12
Suppose 3*o = 5*o - 6. Suppose -2*z + 4*x = 3*z - 29, o*x + 23 = 4*z. Let m(g) = -g**2 + 8*g - 5. Calculate the lowest common multiple of m(5) and z.
10
Let i = -30089/1422 - 5/711. Calculate the common denominator of (-2)/(-5) + 579/165 and i.
66
Calculate the common denominator of (-3 - 36)*1/(-5) and -125/6.
30
Let k = -4 - -14. Let h = -2 + k. Calculate the lowest common multiple of h and 1.
8
Calculate the common denominator of -3 - ((-230)/24 + 2) and 5/16.
48
Let x = -3 + 15. Let m(s) = -s**2 + 8*s - 2. What is the lowest common multiple of m(6) and x?
60
Let m = 4256081/10428690 + -4/59935. Find the common denominator of m and 85/2.
174
Let w = -7/186 + 10079/930. What is the common denominator of 46/10*20/8 and w?
10
Let u(l) = 2*l**2 + 56*l**2 + l + 5*l**2. Let a be u(1). Suppose 9*b = 5*b + a. Calculate the smallest common multiple of b and 8.
16
Calculate the common denominator of -115/6 and 16/(-72) - ((-529)/90)/(-1).
30
Suppose 29 + 81 = 5*q. Calculate the smallest common multiple of q and 4.
44
Suppose -7 = -p - 3. Suppose s = -t + 3*s - 7, 0 = 4*t - s - 7. Suppose t*b - 21 = -p*a - 6, -2*a - 2*b + 6 = 0. What is the lowest common multiple of 10 and a?
30
Calculate the common denominator of 0 - (106/6 + -3 - -2) and -1 + -1 - (-15)/7.
21
Let c = 24245/6324 - 1/2108. Suppose 3*z + z + 4*g - 20 = 0, -5*z = 4*g - 21. Find the common denominator of c and 434/(-24) - z/4.
6
Find the common denominator of -16/13 and (-1 + 10)*32/(-6).
13
Let u = -822 + -1288. Let s be (4/u*6)/2. Let x = 36997/12660 + s. Calculate the common denominator of 25/6 and x.
12
Let y(n) = -n**3 + 6*n**2 + 8*n - 10. Let h be y(7). Calculate the smallest common multiple of 3 and 22/(4 - (-6)/h).
33
Let c = -17933/70 + 1717/7. Let a = -4248 - -46688/11. What is the common denominator of c and a?
110
Find the common denominator of 74/27 and (-2 - 3)/5 - (-40)/(-6).
27
Let u(h) = -h**3 - 4*h**2 - 7*h - 4. Let f be u(-4). Suppose -a - 4*z + f = a, -3*z + 14 = a. Calculate the lowest common multiple of 3 and a.
24
Let v(h) = h**3 + 2*h**2 + 11*h - 15*h + 2*h**2 - 4. What is the lowest common multiple of v(-4) and 2?
12
Suppose -3*d = -35 - 19. What is the least common multiple of 6/(1 - 3/6) and d?
36
Let i(j) = 2*j**2 + 7*j. Let y be i(-5). Let p = y + -5. Calculate the smallest common multiple of p and (-26)/(-2) + 0 + -1.
60
Let x(v) = 19*v**3 + v**2 - v - 1. Let m(a) = -4*a - 10. Calculate the smallest common multiple of m(-8) and x(1).
198
What is the lowest common multiple of (4/5)/((-2)/50*-2) and 4?
20
Let c(y) = -2*y. Let i = 4 + -6. What is the least common multiple of 6 and c(i)?
12
Let l = -1284/5 + 1243/5. Find the common denominator of l and (-93)/4 + 0 + 3 + 2.
20
Let k be (-443)/(-898) + (-10)/20. Let n = -58801/2694 + k. What is the common denominator of 1/26 and n?
78
Suppose 4*l = 4*t + t + 8, -5*t - 2 = -l. Calculate the lowest common multiple of l and ((-11)/(44/(-27)))/((-6)/(-16)).
18
Let s be (3 + 1)/(3 + -1). Let x be s/6 - (-20)/3. Let c = x - -13. Calculate the smallest common multiple of c and 22.
220
What is the smallest common multiple of -1*2 - (14 - 132) and 22?
1276
Suppose -20 + 74 = 3*l. Calculate the least common multiple of l and 27.
54
Let r(t) = t**2 - 2*t - 5. Find the common denominator of r(-4) and 11/4