Suppose 0 = -n - 0*n + v. Let g(u) = 2*u**2 - 2*u + 2. What is the least common multiple of g(n) and 22?
66
Suppose 4*w - 3 - 29 = 0. Let p(b) = b**3 + 10*b**2 - b - 7. Let i be p(-10). Suppose -5*u + i*u = -24. What is the smallest common multiple of u and w?
24
Let k = -1049/10 - -221/2. Calculate the common denominator of 34/43 and k.
215
Let u = 18 - 22. Let x = 8 + u. Suppose 3*j - 2*j - 20 = 0. Calculate the least common multiple of x and j.
20
Let c(p) = -p + 10. Calculate the smallest common multiple of c(4) and 4.
12
Let j be (0 + 2)/((-2)/5). Let a be ((-50577)/(-6))/(j - -1). Let h = a + 2110. Find the common denominator of h and 53/10.
40
Let d be 2/(-10) - 1053/(-15). Suppose -a - d = -2*a. Calculate the common denominator of -29/10 and a/(-36) + 10/15.
90
Suppose 5*d + 2*k - 142 - 558 = 0, -3*d + 409 = -k. What is the least common multiple of d and 18?
414
Let m = -157326651/22 + 7155116. Let u = m + -3906. What is the common denominator of u and 109/12?
132
Calculate the lowest common multiple of 3 and (-6)/(-4)*(-26)/(-39).
3
Suppose -3*q = -2*x - 345 + 1316, 0 = -2*q + x - 649. Let u = 14435/84 + -1123/7. Calculate the common denominator of q/(-9)*(-6)/(-44) and u.
132
Let x = 13 - 9. Calculate the least common multiple of 6 and x.
12
Let j(f) be the first derivative of -f**4/2 - f**3 - f**2 - 2*f - 5. Calculate the lowest common multiple of j(-2) and 5.
30
Let z be ((-902)/(-20))/((-1)/217). Let f = z - -9777. What is the common denominator of 27/8 and f?
40
Let j = -37408 + 621. Let g = 70203/2 + j. Let s = -1736 - g. What is the common denominator of -75/4 and s?
4
Let q be -4*1/(2/(-2)). Let p = 16 - q. Calculate the smallest common multiple of (p/15)/(2/10) and 5.
20
Let m = -7529 - -90467/12. What is the common denominator of -19/4 and m?
12
What is the common denominator of 3/(-6)*(1 - 94/32) and -113/24?
96
Suppose -22 = 3*y + 5*n + 18, 4*n = 5*y + 5. Let q(m) = -m**3 - 5*m**2 + 2*m - 2. Let s be q(y). Calculate the common denominator of (4/18)/((-2)/s) and 31/9.
9
Let d(y) = -y**3 - 5*y**2 + 8*y - 6. Suppose 3*n = -2*n, -2*b = -4*n + 14. Let c be d(b). What is the common denominator of (4/(-10))/(c/185) and 19/4?
36
Let b = -13 - -7. Let d = 13 - 7. Calculate the smallest common multiple of 20/b*(-1 + -2) and d.
30
Let b(i) = 13 - 6*i + 3*i + 2*i. Calculate the smallest common multiple of 18 and b(9).
36
Let w(n) = -53*n + 6. Let t be w(-8). What is the common denominator of (-10)/45 + t/72 and 61/(-10) - 2/(-8)?
20
Suppose 5*b - 3 = 7. Calculate the lowest common multiple of 22 and b.
22
Let u be 10 + (-1 - 1/(-1)). What is the common denominator of 0 + 2 - 66/(-4) and u/25 + 116/(-15)?
6
Let w(c) = -c**2 - 13*c + 11. What is the smallest common multiple of 21 and w(-13)?
231
Let l = -2893/2 + 1407. Let p = 1259/28 - 169/4. What is the common denominator of l and p?
14
Find the common denominator of -2 + 1 + 27/20 and ((-1358)/12)/(-7) - -5.
60
Calculate the common denominator of -109/6 and (-3741)/(-660) + (-6)/(-33).
60
Calculate the common denominator of -19/8 and ((-18)/(-24))/(27/411).
24
Let h be 3/1 - 1 - -5. Suppose 0 = 5*f - h - 38. What is the smallest common multiple of 7 and f?
63
Let b = -346/77 - 43/154. Calculate the common denominator of b and 23/8.
88
Suppose r + 4*j = -0*j + 4, -5*j = -2*r + 21. Calculate the least common multiple of 12 and r.
24
Let d be 2/(1770/(-33)) - 0. Let h = d - 20201/4130. Let n = -1279/2 + 1979/3. Find the common denominator of n and h.
42
Suppose 0 = 2*o - 22 - 18. What is the smallest common multiple of 4 and (-12)/o + (-129)/(-15)?
8
Suppose s = 4*t - s - 12, 0 = 4*s - 16. Let q be -1*t*174/(-15). Suppose 4*y + 10 = q. What is the least common multiple of y and 18?
36
What is the least common multiple of (-114)/(-10) - 8/20 and 2?
22
Calculate the common denominator of (2/7)/(1*216/1806) and 73/6.
18
Let n = 3/897165008800 + 108715495121805547/14777204859944800. Let b = 2/11765 + n. Find the common denominator of b and (-37)/2*1/(-4).
56
Let d = 49 + -40. Calculate the lowest common multiple of 4 and d.
36
Let g = 96008/14895 + -2/1655. Find the common denominator of -3/5 and g.
45
Let m(r) be the second derivative of -r**3/2 - 4*r**2 + r. Suppose 2*q = -5*o - 8, q - 2 = -6*o + 5*o. What is the lowest common multiple of m(-6) and q?
30
Calculate the common denominator of 8/9 and ((-1397)/(-55))/(24/10).
36
Let a = 170/3 + -599/12. Calculate the common denominator of (((-112)/(-30))/(-4))/(8/(-160)) and a.
12
What is the lowest common multiple of 8 and (0 + -4)/((-4)/3) - -8?
88
Let v = 9 - 11. What is the common denominator of (-455)/300 - v/12 and 23/38?
380
Suppose -2*o + 4*i + 10 = 0, 2*i - 22 = o - 3*o. Let x = 349/6 + -989/12. Find the common denominator of x and (-6)/o + 158/(-6).
4
Let i = -229/90 - -22/9. Calculate the common denominator of i and -11/6.
30
Let r be (5/(-10))/((-1)/(-8)). Calculate the common denominator of -42/5 and 96/(-5) + r/30.
15
Let t(n) = -n**3 - 26*n**2 - 27*n - 38. Calculate the least common multiple of 14 and t(-25).
84
Let b(o) = o - 3. Let p be b(-9). Let z = p + 20. Calculate the lowest common multiple of 2 and z.
8
Let n be (-105236)/208*3/810. Let b = -2/1755 + n. Find the common denominator of b and -14/11.
88
Suppose 5*r + 250 = 4*r. Let f = r - -2571/10. What is the common denominator of f and 27/2?
10
Suppose -v + 28 = 4*v + 2*q, -4*v + q = -12. What is the least common multiple of v and 8?
8
Suppose 2*s = 6*s - 4. Suppose s = -4*c + 17. Suppose 4*d - 3*j = 39, 5*d = c*j - 7*j + 15. Calculate the smallest common multiple of d and 8.
24
Suppose -10*w + 9*w = 14. Find the common denominator of w and -40/7.
7
Suppose 25*x - 24 = 22*x. Calculate the least common multiple of x and 25.
200
Suppose -3*o = -j - 36, -3*j - 54 = -4*o - 1. Suppose -5*w + 19 = -o. Calculate the smallest common multiple of w and 2.
6
Let y(t) = -18*t**2 - 2*t. Let x be y(-2). Let m = -48 - x. Suppose 0*a - m = -a. Calculate the least common multiple of a and 6.
60
Let h = -272 - -549/2. Find the common denominator of -1*2 - 53/(-16) and h.
16
Let g = -305 + 1967/6. What is the common denominator of 59/6 and g?
6
Suppose 0 = -14*k + 12*k + 12. What is the smallest common multiple of k and 12?
12
Suppose -4*y - 2*m + 3*m - 29 = 0, 5*m + 5 = -5*y. Let r = -1 - y. What is the lowest common multiple of 11 and r?
55
Let g = 96 + -75. Calculate the lowest common multiple of g and 33.
231
Let v be (-20)/4*(-2)/5. Suppose v*s = -104 + 28. Let x = -768 - -6878/9. Calculate the common denominator of s and x.
9
Find the common denominator of 13/16 and (-81)/28 - 13/(-52).
112
Let g(o) = -o**3 - 7*o**2 - 7*o + 1. Let d be g(-6). Suppose -m = 4, 6*p + d = 5*p - 2*m. Find the common denominator of -14/9 and 93*(-6)/45*p.
45
Suppose j - 30 = -2*y - 2*j, -8 = 2*j. Calculate the lowest common multiple of y and 15.
105
Suppose -2*w - 126 = -0*w. Find the common denominator of (-6)/9 + 57/w and -9/11.
77
Let n = -337 + 341. Suppose c = -4*c + 20. Calculate the least common multiple of n and c.
4
Let f = 283 + -21. Suppose -3*h + 2*h = -f. What is the common denominator of h/12 - (0 + -1) and -65/6?
6
What is the common denominator of 99/10 and 66/8 - 2 - -4?
20
Suppose -r + 4*k - 58 = 0, 0 = -r + 4*r + 4*k + 126. Let c be (-2)/(-3) + (-24860)/(-24). Let d = -1087 + c. Find the common denominator of r and d.
2
Suppose z - 29 = -2*g, 0 = -3*g + 3*z + 39 + 18. Calculate the lowest common multiple of g and 22.
176
Suppose -4 = -2*w - 2*w. Suppose 5*o = 3 + 27. Suppose -c = -o - w. What is the least common multiple of c and 11?
77
Let c(r) = -5*r - 4. Let t(g) = -g**2 + 4*g + 4. Let f(z) = -4*c(z) - 3*t(z). Let v be f(-6). Find the common denominator of (-4)/5*388/v and -47/2.
20
Let k = -52 + 103. Calculate the smallest common multiple of 24 and k.
408
Suppose 5*r - 50 = r + 3*z, -r + 7 = 2*z. Let b = 15 - r. Suppose -5*f - 4*v = -40, -2*f + 5*f = -b*v + 32. What is the smallest common multiple of f and 8?
8
Let q = -1891/126 + 165/14. Find the common denominator of 148/3*6*21/560 and q.
90
Let i(b) = b + 33. What is the smallest common multiple of 9 and i(0)?
99
Suppose 5*q - 2*k = 52, 2*q - k = -3*q + 56. What is the lowest common multiple of q and 22?
132
Let p = 32 - 17.