t a = 18/397 - 87707/262020. Let f = a - -1/44. Let k = f - -13/5. Calculate the common denominator of 109/10 and k.
30
Suppose 2*m - 152 = 3*c, 3*m = -3*c + 262 - 19. Let j = -12/133 + 9467/266. What is the common denominator of j and (-2)/2 + m/8?
8
Let x = -217/20 - -41/10. Let s = -40629/16 + 2541. Find the common denominator of s and x.
16
What is the common denominator of (4/40)/(2/(-415)*3) and 7/12?
12
Suppose -2*s + 3*s = 4. Suppose 3*w = -3*y + 54, s*y + 13 - 1 = 0. What is the common denominator of w and 107/10?
10
Calculate the lowest common multiple of (-4)/(-16)*4*18 and 12.
36
Let r(c) = -c**2 + 11*c - 8. Let z be r(7). Let p(x) = -x**2 + 6*x + 7. Let l be p(7). Let v = z - l. What is the least common multiple of v and 4?
20
Suppose 16 - 4 = 2*u. Suppose -5*g = -3*g - 44. Calculate the lowest common multiple of u and g.
66
Suppose 4*u + 9692 = -2*g, 4826 = 2*u - 4*u + 4*g. Let y = -697143 + 4197341/6. Let c = u + y. Find the common denominator of c and -76/3.
6
Suppose 2*w - 6 + 0 = 0. Let n be -2*2*(-4)/(-8). Calculate the least common multiple of (n + -12)*2/(-7) and w.
12
Let j(w) = -w + 3. Let v be j(7). Let y(u) = -u**2 - 4*u + 2. Suppose 32 = b - 5*t, 5*b - 3 - 37 = t. What is the lowest common multiple of y(v) and b?
14
Let w(b) = 2*b**2 + 2*b - 2. Suppose 3*a + 0*i - i = 56, -3*a + 48 = 3*i. Calculate the least common multiple of w(3) and a.
198
Suppose r - 4*m = -0*r - 4, 0 = -2*r + 4*m - 8. Find the common denominator of r/(-30) + (-722)/(-660) and (-90)/(-28) - (1 + 0).
154
Let m(f) = -f + 6. Let j be m(-9). Suppose -4*v = 2*h + 2*h - 92, 0 = v - 3*h - j. What is the least common multiple of 6 and (-58)/(-7) - 6/v?
24
Let i = -20387/6435 + -8/585. Find the common denominator of 113/10 and i.
110
Let s be (4 - 1)/1 - 0. Suppose -17 = -s*z - 2. Let g = -7 + 11. What is the least common multiple of z and g?
20
Let b = 22 + -16. Calculate the smallest common multiple of b and 6*(-2)/4*-1.
6
Let c = -8 + 11. Suppose c*j - 66 = -4*n, 0 = -0*j - 3*j - 2*n + 60. Calculate the least common multiple of 8 and j.
72
Suppose 2*l - 7 = 1. Let q(s) = -s**3 + 4*s**2 - 4*s - 2. Let u be q(l). Calculate the common denominator of -79/6 and 79/u - (-10)/(-45).
18
Find the common denominator of 32/5 and (-45)/25*(-38)/6*-1.
5
Let b be (3/2)/(7/14). Suppose f - 5 = b. What is the smallest common multiple of f and 10?
40
Let p = 25 - 21. Let u(w) = w**2 + 5*w - 6. Let k be u(-7). Calculate the least common multiple of p and -4*(-2)/k*2.
4
Let w = 12445/4 + -3091. What is the common denominator of w and 0 - (303/12)/(-1)?
4
Suppose -16 = 5*v - v. What is the least common multiple of ((-7)/2)/7*v and 5?
10
Suppose 0 = m + 3*w - 2*w - 17, -2*m - w = -37. What is the least common multiple of 1 and m?
20
Suppose -4*w = 5*b + 2, -4*b - 3 = 3*w - 2. Calculate the common denominator of 20/11 and ((-28)/18)/(b/21).
33
Let r be (12/9)/(2/(-6)). Let m = r + 9. What is the least common multiple of m and 7?
35
Let v = 827/95 + 17/19. What is the common denominator of v and 2/9?
45
Find the common denominator of 19/36 and (14/(-40))/(3/33).
180
Let f = -276163/35010 + -3/3890. Calculate the common denominator of (-2652)/(-308) + (-4)/22 and f.
63
Let g = -67593/7 - -9683. Let a = 27 - g. What is the common denominator of a and 71/2?
14
Calculate the least common multiple of -6 + 19 + 1*-3 and 8.
40
Let n be (-1 + 0)*(2 - 2223). Let u = 11069/5 - n. Find the common denominator of u and -44/3.
15
Let t = -5033 + 55315/11. Find the common denominator of t and 49.
11
Let f(v) = v**3 + 13*v**2 + 12*v + 3. Let h be f(-12). Suppose 0*s - h*s + 42 = 0. Calculate the smallest common multiple of s and 3*(20/6 - 0).
70
Find the common denominator of -28/9 and 10/(-9)*((-84)/(-45) + -2).
27
Let u(t) = t**3 - 4*t**2 + t + 3. Let y be u(4). Let j = 27 - y. What is the lowest common multiple of j and 4?
20
Calculate the common denominator of 39 and 3/(-2)*(-132)/108.
6
Let o(l) be the first derivative of 3*l**3 + l + 1. Let y be o(1). Suppose 4*s - 26 = -y. Calculate the smallest common multiple of 2 and s.
4
Suppose 0*b + 32 = 4*b. Let d = 18 + -8. Calculate the least common multiple of d and b.
40
Let s(x) = x**2 + 13*x - 17. Let f be s(-15). Let n = -7 + f. Calculate the least common multiple of 12 and n.
12
Let s be 1/((-12)/27)*-4. Suppose -11 = 2*j + 2*x + s, 5*j + 43 = 2*x. Find the common denominator of 24 and ((-9)/12)/(j/254).
6
Let c = 12/31 + -3809/310. Let o = 93599/12978 - -2/927. Find the common denominator of o and c.
70
Let m = 7 - 5. Suppose 0 = -m*t + 7 - 3. Let c = 7 - t. What is the least common multiple of 9 and c?
45
Let w = -12 + 32. Calculate the common denominator of 4 and (2/w)/((-5)/(-515)).
10
Suppose -2*s - 3*s + 25 = 0. What is the smallest common multiple of s and 7?
35
Suppose 6*x - x - 2*b + 32 = 0, -3*b + 33 = -5*x. Let k be ((-16)/6)/(2/x). What is the common denominator of 876/(-90)*(-6)/k and -69/10?
10
Let d be 40/7 - 4/(-14). Let x(h) be the second derivative of -h**5/20 + 5*h**4/12 + h**3 + 3*h**2/2 + 2*h. Calculate the lowest common multiple of x(d) and 10.
30
Suppose -z + 2*z - 7 = 3*q, 0 = -4*z - q + 28. Suppose -z = -b - d, 3*d = 5*b - 17 - 42. Calculate the least common multiple of 2/(-2) - (-2 + 0) and b.
10
Suppose -4*m = -5*w + 6 - 43, -2*m + 11 = 5*w. What is the least common multiple of m and (-7 - -6)/(-1 + 12/14)?
56
Suppose -2*u + 2360 = p, 18547 - 6759 = 5*p - 2*u. Let z = p + -18815/8. Calculate the common denominator of z and (-1226)/60 + 4/(-10).
24
Let z be (66/4)/(9/12). Calculate the least common multiple of z/1 - (1 + 1) and 12.
60
Let f = -2608001/4000 - -652. Let p = f - 72999/4000. Find the common denominator of p and 1/11.
44
Suppose 3*d = -5*c - 728, -4*c - 552 - 20 = 5*d. Let m = 16/99 + -1709/1386. What is the common denominator of 15/(-28)*c/(-10) and m?
14
Suppose 2*x - 2 = 34. What is the least common multiple of 2 and x?
18
Let t = 9 + -5. Suppose 19*p = 14*p + 50. Calculate the least common multiple of t and p.
20
Let w be 35071/170 - (-2)/10. Let q(t) = -t**3 + t**2 - t + 211. Let s be q(0). Let d = w - s. What is the common denominator of -37/10 and d?
10
Let z be 4/(8/(-673)) + -1. Let t = z + 359. Find the common denominator of -97/10 and t.
10
Let c = 52 + -100. Let p = -28 - c. Calculate the smallest common multiple of p and 4.
20
Let l(x) = x**2 - 12*x - 5. What is the lowest common multiple of (-1)/2 + 147/6 and l(13)?
24
Suppose 0 = 5*a - 3 - 22. Suppose -a*u - p - 3*p = -5, -1 = -u - 5*p. Find the common denominator of -49/9 and (2 - u) + (-12 - 0).
9
Let u = -799412000141321/3505 - -228077622649. Let l = 19185 - u. Let x = 164723/42060 + l. Find the common denominator of x and -97/8.
24
Let c be 5/4*29858/(-10). Let h = -3792 - c. Let t = h - -60. Calculate the common denominator of t and 33/8.
8
Suppose -5*b - 3*k + 37 = 0, -4*b - 4*k = -3*k - 31. Suppose 0 = 2*p - 8, 0 = -3*t + 5*p + 3 + 25. Calculate the least common multiple of t and b.
16
Suppose -o = 2*o - 18. Suppose o*n - 4*n - 24 = 0. Calculate the least common multiple of 6 and n.
12
Let s be 1 + 2/(2/(-35)). Let c = -25 + 13. Let h = c - s. Calculate the least common multiple of h and 16.
176
Suppose 0 = -2*u - u + 12. Suppose 3*y - 4*y + p + 13 = 0, -u*p + 38 = 5*y. Calculate the least common multiple of y and 9.
90
Let w(l) = l**2 + 18. Let q(f) = f**3 + 2*f**2. Suppose 0 = 3*d + 15, -4*d - 18 = 6*o - 7*o. Let m be q(o). What is the least common multiple of 6 and w(m)?
18
Let n = 1223/40 + -285/8. Find the common denominator of n and -73/16.
80
Suppose -m - 3*m = -20. Suppose 5*l - 27 = 2*r, -m*l + 3*l + 3*r = -13. Suppose 0 = 2*q - l*q + 24. Calculate the least common multiple of q and 9.
72
Let g = 150 + -80. Suppose -n - 94 = -5*z, 5*z + 3*n - g = 28. Suppose 4*v = 29 + z. Calculate the smallest common multiple of v and 4.
12
Suppose -2 - 8 = -w. Let i be 2/(-6)*(-92 + -1). Suppose -i = 5*x - 11, -5*x = k + 12. What is the least common multiple of w and k?
40
Suppose 5*u + 0*w = -2*w + 119, -2*u = w - 48. Calculate the least common multiple of u and 11.
253
Let p(j) = j**3 + 7*j**2 - 6*j - 9. Let z be p(-7). Let s = 49 - z. Let m = 15 + -3. What is the least common multiple of s and m?
48
Find the common denominato