 b**4/24 + 4*b**3/3 + b**2. Let u be i(-6). Calculate the common denominator of (32/(-24))/(u/36) and 31/9.
9
Let b = 1017/2 - 498. Let n = -43009/10 - -4307. Calculate the common denominator of b and n.
10
Suppose 28*p + 66 = 31*p. What is the smallest common multiple of p and 2?
22
Let j be (-99)/(3 - 6)*-2. Find the common denominator of (-2)/(-11) + 225/j and -149/12.
132
Let z(v) = v**3 + 5*v**2 + 3*v - 1. Let h be z(-3). Suppose h*w + 3*i - 39 = 3*w, 0 = w + i - 9. What is the least common multiple of 3 and w?
6
Suppose 0 = -w - 2*w. Suppose 5*u = -w*u + 90. What is the least common multiple of u and 14?
126
Let r = -649/24 - -35/8. What is the common denominator of 33/8 and r?
24
Suppose 15*v = 12*v + 3. What is the lowest common multiple of v and 16?
16
Suppose 250 = -3*t + 8*t. Suppose 6*g - 2*g + 3*p = 16, 2*g + p = 8. Calculate the common denominator of t and (57/18)/((-2)/g).
3
Let u be (7 - 2671)*7/(-2). Suppose 5*w = 2*w + u. Let x = w - 31017/10. Calculate the common denominator of x and -97/8.
40
Suppose 5*a - 10 = 15. Suppose k = 2*k - a*m - 13, -2*k + 8 = -m. Suppose -3*h - 4 = -5*h, -5*r + 94 = -k*h. Calculate the smallest common multiple of 4 and r.
20
Let u(s) = -s**3 - 4*s**2 - s + 8. Calculate the least common multiple of u(-4) and 26.
156
Let f = -39046/4815 + -1/535. What is the common denominator of f and 42/11?
99
Let f = 18 - 17. Calculate the common denominator of (6 - f)*(-62)/25 and (-2)/(-3) - (-287)/(-12).
20
Suppose -64 = -4*a - 3*b, -2*a - 4*b - b + 32 = 0. Calculate the smallest common multiple of a and 62/8 - 2/(-8).
16
Find the common denominator of (-115)/12*(-24)/80 and -61/3.
24
Find the common denominator of -43/3 and (-14)/(-1 - (-11)/2).
9
Suppose 5*c = -s + 15, -c = 2*s + 1 - 4. Suppose o = 3*k - 24, s = -o - 4*o + 2*k - 81. What is the common denominator of 207/o*2/4 and 131/18?
90
Let t = 2471/184 + -76/23. Find the common denominator of t and (-2)/(40/54) + -1.
40
Let g = -8/975 + -625036/32175. Let s = g + 171/11. Calculate the common denominator of s and 15*-3*(-3)/72.
72
Let r(a) = a**3 + 4*a**2 - 7*a - 5. Let y be r(-5). Calculate the least common multiple of 8/40 + 49/y and 2.
10
Let i(k) = -k**3 + 8*k**2 - 5*k - 2. Suppose 5 = 3*m - 37. Calculate the smallest common multiple of m and i(7).
84
Let a(q) = 8*q + 3. Let r be a(3). Let x = 29 - r. What is the lowest common multiple of 18 and x?
18
What is the common denominator of 49/6 and (-183)/(-90) - 1/(-1)?
30
Let p = -39 - -6. Let d = p - -37. Calculate the lowest common multiple of d and -3*1*1/(-3).
4
Let r = -4899/110 - -458/11. Calculate the common denominator of 39 and r.
10
Suppose 2*p + 329 = 3*c + 2*c, -3*c + 3*p + 201 = 0. Suppose -5*f + 15 = -c. Calculate the least common multiple of f and 6/33 - (-216)/22.
80
Let x = 5 + 1. Let u(w) = w - 11. Let d be u(9). Calculate the lowest common multiple of -2 - (d + -10)*1 and x.
30
Let f = -447 + 2659/6. What is the common denominator of 139/18 + 3 + -3 and f?
18
Let r = -1/7901 + 339761/142218. What is the common denominator of 125/12 and r?
36
Let i(g) = -7 + 2 - 1 + g + 0. Calculate the lowest common multiple of i(9) and 17.
51
Suppose 2*w = -3*f - f - 12, 0 = -f + 2*w + 2. Calculate the common denominator of (105/48 - 2) + f and 87/22.
176
Let s = 1 + 0. Let x = 12 - 7. Suppose -x*u - 4*l = -35, -3*u = -2*u + l - 6. Calculate the smallest common multiple of u and s.
11
Suppose -2 = -3*o + 5*q + 22, o = -3*q - 6. Suppose 5 = 2*c - o. Suppose s + 24 - 62 = 4*i, -c*s + i = -77. What is the smallest common multiple of 8 and s?
72
Let k(n) = n**2 + n + 1. Let t(w) = 2*w + 0*w - 3*w. Calculate the lowest common multiple of t(-4) and k(-1).
4
Suppose f - g - 26 = -4*f, 4*f - 8 = 4*g. Let u be (f/(-9))/(2/(-18)). Calculate the lowest common multiple of 176/18 + u/27 and 22.
110
Suppose 0 = 3*y + 4*w - 18, 0 = 2*y - 0*w + 4*w - 8. Calculate the lowest common multiple of 1*21/6*4 and y.
70
What is the common denominator of 54*(-2 + 44/20) and 18/11?
55
Suppose 0 = 4*d - 7*d + 3. Suppose 0 = -4*l - 7 + 23. Suppose -22 = -3*y + l*z + 20, z - 27 = -3*y. What is the smallest common multiple of d and y?
10
Let v = -21 - -12. Calculate the common denominator of (v/(-27))/((-10)/3) and -109/12.
60
Let r(o) = -o - 4. Calculate the lowest common multiple of 24 and r(-13).
72
Calculate the common denominator of 133/18 and 1 - 2/2 - (-7)/(-80).
720
Let s(r) = -4*r. Let x(t) = t**3 - 7*t**2 + 7*t - 8. Let q be x(6). Calculate the lowest common multiple of 9 and s(q).
72
What is the common denominator of ((10/(-5))/48)/(1/62) and -103/40?
120
Let b = 3531/94 - 3/47. Suppose 131 = 4*k - 41. Calculate the common denominator of k and b.
2
Let v = -851/6 + 151. Calculate the common denominator of v and 18/(-42) - (-86)/(-28).
6
Let y = -9 + -9. Let k = y - -36. Calculate the lowest common multiple of k and 4.
36
Let f be 1530/24 + 1/4. Suppose -y + 5*y = f. Calculate the lowest common multiple of (48/2)/(3/2) and y.
16
Let f(i) = i**3 - 5*i**2 + 2. Suppose -4*c - 5 = -5*c. Let x be f(c). Calculate the common denominator of 113/14 and 0 + 7/x + 1.
14
Let x(w) = w**2 + 18*w - 7. What is the lowest common multiple of x(-19) and 33?
132
Suppose -5*v = 5 + 10. What is the common denominator of -2 + (153/(-33))/v and ((-24)/220)/(1/15)?
11
What is the common denominator of -2 + (-82)/(-12) - -3 and 5/8?
24
Let f = 10 + -2. What is the lowest common multiple of f and 20?
40
Let i = 15 - 31. Calculate the smallest common multiple of 4 and (i/28)/(4/(-14)).
4
What is the common denominator of ((-188)/224 - -1)*464/12 and 121/10?
70
Suppose 3*j + 5*t = 5*j - 13, j - 29 = -5*t. Suppose 2*b = 2*c, 2*b + 2*c + 0*c = -12. Let f = j + b. What is the smallest common multiple of f and 9?
99
Let r = 8 + -4. Suppose -n = r*n - 10. Suppose 0 = 2*d - 7*d - 2*p + 102, -4*p + 44 = n*d. What is the least common multiple of d and 12?
60
Let d be (-212614)/5412 - 10/55. Let h = d - 4/123. Calculate the common denominator of h and 29/12.
12
Let i be (-8)/(-24)*2847786/44. Let m = 21570 - i. What is the common denominator of m and 109/20?
220
Suppose -6 = -2*x - 30. What is the common denominator of 49/12 and x/(-42) - 158/(-280)?
60
Suppose 2*f - 5*f = 0. Suppose -5*v + 15 = y, 3*y = -v - f*y + 17. Suppose 3 - 2 = -z - x, -8 = v*z + 5*x. Calculate the smallest common multiple of z and 2.
2
Let v be 21/(-27)*19390/49. Let f = -305 - v. Calculate the common denominator of f and 85/4.
36
What is the common denominator of -7/22 and (-476)/(-72) - (0 - 1)?
198
Let w(v) = -10*v. Let x be w(-1). Suppose -2*r + r = -x. What is the least common multiple of (1/1)/((-2)/(-16)) and r?
40
Find the common denominator of -29/25 and -1 - 1 - 759/(-55).
25
Let w = 21 + -1. Suppose -3*j + 55 = -5*z, z + 2*z = j - 25. Calculate the least common multiple of j and w.
20
Let u be -14*2*1/(-2). Let o = -2 + u. Calculate the common denominator of -47/8 and -1 + (-3 - 43/o).
24
Let q(r) = -r + 3. What is the smallest common multiple of 4 and q(1)?
4
What is the common denominator of 6/15 - (5 + (-52)/15) and -73/12?
60
Let r be 81*(-2 - -3) + -3. Let q be (-1)/(-2) + r/(-20). Let o = 4/15 - q. Find the common denominator of -9/4 and o.
12
Let v be 2*(3/6 - 0). Let d be (v/2)/((-6)/(-72)). Calculate the lowest common multiple of (-5)/(-15) + 34/d and 1.
6
Let b = 16 + -10. Let l = b - -3. What is the smallest common multiple of l and 4?
36
Let a(c) = c**3 - 8*c**2 - 7*c. What is the least common multiple of a(9) and 82?
738
Let w = 536147020645/1306 - 410526096. Let u = 93/2 + w. Let m = u - -45059/1306. Find the common denominator of -41/12 and m.
12
Suppose -6 - 2 = 2*z. Let n(x) = x**3 + 6*x**2 + 6*x + 1. Let u(g) = -3*g - 5. What is the least common multiple of n(z) and u(-4)?
63
Suppose 4*s - 2*x = 18, -s = -2*s + 3*x + 7. Calculate the smallest common multiple of s and 6.
12
Let u be ((-54648213)/(-2310))/1 - 2. Let c = u - 823758/35. Let z = -801/7 + c. Calculate the common denominator of z and 21/10.
110
Calculate the least common multiple of 3/(-9)*(1 - 37) and 12.
12
Let q be ((-2)/12)/((-20)/(-3387858)). Let c = 28226 + q. Find the common denominator of 91/8 and c.
40
Calculate the lowest common multiple of ((-5 + 2)/9)/(2/(-36)) and 8.
24
Let n 