 = 2*w - 8860, 3*h = -3*w + 17085. Let n be 2/(-8) - (410330/(-72) + -1). Let u = w - n. Find the common denominator of 49/3 and u.
9
Find the common denominator of 47/15 and (-21)/49 - 475/231.
165
Let z = -63 + 74. Suppose -j = -5*m - 30, 2 + 3 = -4*j - 5*m. What is the smallest common multiple of j and z?
55
Let x = 3639139/78 + -46655. Find the common denominator of x and 37/14.
546
Let b = -178/9 + 1480/63. Suppose -4*p - 7 = 5. Find the common denominator of b and -1 - p/36*-262.
42
Let n be 2/(-4)*-6*1. Let s be (-4)/n*15/(-82990). Let t = 190917/165980 - s. What is the common denominator of t and 73/14?
140
Let p = 27556 + -991931/36. Calculate the common denominator of -61/12 and p.
36
Let h = 21 - 1. What is the lowest common multiple of 2 and h?
20
Suppose -11*n - 36 = -7*n. Let k = 13 + n. Suppose -5*i - p + 34 = -3, -4*i - p = -29. Calculate the lowest common multiple of k and i.
8
Let p(z) = z**2 - 12*z + 7. What is the lowest common multiple of p(12) and 11?
77
Calculate the common denominator of (-508)/3*10/240 and -13/14.
126
Suppose -2*f + 29 = 5. Suppose -4 = -4*q, 6*q - 50 = -3*l + q. Suppose -l - 9 = -4*y. Calculate the least common multiple of f and y.
12
Let o = -7/524 - 13217/1048. Let n = -16343/4044 - -42/337. Calculate the common denominator of n and o.
24
Let g(i) = -i**2 - 7*i + 2. Let f be g(-7). Suppose -x - 5*w = f*x + 54, 2*w = 0. Calculate the smallest common multiple of (6/(-9))/(2/x) and 7.
42
Suppose -2*i = -4*i + 4. Find the common denominator of i - -1 - (-170)/(-16) and 35/16.
16
Suppose -2*i = -15 - 17. Let m(f) = -f. Let r(v) = -5*v - 3. Let w(h) = -14*m(h) + 2*r(h). What is the smallest common multiple of i and w(4)?
80
Find the common denominator of 53/3 and 2727/(-180)*4/(-6).
30
Let s = 55/12 + 55/12. Calculate the common denominator of 2 + 213/(-12) + (1 - 5) and s.
12
Let k = -14 - -13. What is the least common multiple of 2 and (-12)/(-4) - (0 + k)?
4
Let w = -38 - -64. Let q = -2105/3 + 714. What is the common denominator of w/(-3)*3/11 and q?
33
Suppose 4*y + 2*r + 21 - 5 = 0, -5*y - r - 14 = 0. What is the least common multiple of y/((-20)/(-7) + -3) and 18?
126
Suppose -72 = -7*y + 3*y. Let s(r) = r**2 - 8*r + 11. Calculate the smallest common multiple of y and s(9).
180
Find the common denominator of 31/4 + 0/1 and (-13)/(-14) - (2 - 0).
28
Suppose 2*r - 9 = 1. Let f(n) = 2*n - 6. Let b = 97 + -81. Calculate the least common multiple of b and f(r).
16
Let c = 29/6288 - 968437/207711504. Let p = -129882089/66066 - c. Let x = p + 1963. Calculate the common denominator of 71/8 and x.
72
Let s = 13174 + -111639/10. Let z = s + -2012. What is the common denominator of 93/22 and z?
110
Let a = 22 + -12. Let l = -6 + a. Let h(w) = -w**3 - 5*w**2 + w + 7. What is the lowest common multiple of h(-5) and l?
4
Suppose 6*h = 4*h + 6. What is the least common multiple of h and 19?
57
Calculate the common denominator of -127/6 and (5 - 2190/96)/(-3).
48
Let t = -9 + 2. Let k be (-300 + 1)/((-1)/(-2)). Let u = 1139/2 + k. Find the common denominator of u and t.
2
Suppose 5*x - 2 = 8. Suppose y = -x*f + 3 + 5, 4*f + 4*y = 16. Suppose c + 1 = 2. What is the least common multiple of c and f?
4
Find the common denominator of 6/(-2) - (-415)/(-50) and -3/2.
10
Let x(n) = -3*n - 1. Let c be x(1). Calculate the smallest common multiple of 8 and ((-11)/c)/(2/8).
88
Let z(q) = -q**2 + 47. Let l be z(0). Suppose 4*t = -5*y - 0*t + 46, -5*y - 3*t = -l. Calculate the common denominator of (62/4)/(y/6) and -1/3.
30
Suppose 0 = 4*p - n + 20 - 76, 0 = -5*p + 3*n + 70. What is the lowest common multiple of p and 122?
854
Calculate the common denominator of 4/16 - 42/(-2) and 99/10.
20
Let x(f) = -273*f**3 - 3*f**2 - 3. Let r be x(-3). Let i = 102831/14 - r. Calculate the common denominator of i and 101/6.
42
Suppose 5*w = 3*s - 51, -s + 4*s + 4*w - 24 = 0. Let z(h) = -2*h**3 - 5*h**2 - h + 4. What is the lowest common multiple of z(-3) and s?
48
Let d = 7 - -11. What is the lowest common multiple of d and 2?
18
Let l(t) = t**3 - 2*t**2 + 2*t - 1. Let g(m) = 2*m**2 + 39*m - 17. Calculate the smallest common multiple of l(2) and g(-20).
3
Let f = 7 + -4. Suppose 3*n - 24 = f. Let q = 13 - 8. What is the lowest common multiple of q and n?
45
Let c(d) be the third derivative of d**5/20 - d**4/8 + d**3/3 - 3*d**2. Calculate the least common multiple of 8 and c(1).
8
Suppose -5*n + 35 = 3*t, 46 - 1 = t - 5*n. Calculate the least common multiple of 12 and t.
60
What is the common denominator of ((-33)/(-8))/((-42)/56) and 67/12?
12
Suppose 2*f + w = 4*w + 4, 5*w - 10 = -5*f. Suppose x - 18 = -f*x. What is the smallest common multiple of x and (2/(-4))/((-2)/40)?
30
Let c = 712 + 171. Let l = -1695327/2110 + -16506/211. Let f = l + c. Calculate the common denominator of -30/7 and f.
70
Suppose -4*l - 1285 = 607. Let m = l - -3324/7. Find the common denominator of m and 1 - 52/(-10) - 2.
35
Let l(u) = 6*u - 1. Let k be (-3)/(-6) - 5/(-2). Suppose p - k = 4. Calculate the smallest common multiple of l(1) and p.
35
Let w = 4 + 3. Suppose w = -i - 3*n, -5*i - 2*n + 45 = -3*n. Calculate the least common multiple of 18 and i.
72
Let d(w) = 7 - 2*w - w**2 + 10*w + 0*w. Let u be d(8). What is the least common multiple of (30/21)/(1/u) and 3?
30
Suppose 2*k - 3 = -k. Calculate the least common multiple of (k/(-2))/(2/(-8)) and 12.
12
Suppose -9*c + 108 = -3*c. Calculate the least common multiple of c and 5.
90
Let s(r) = -2*r. Let d be s(1). Let f be d + 515963/55374 + -3. Let i = f - -1/2517. What is the common denominator of 3/10 and i?
110
Let i = -170 - -173. Calculate the smallest common multiple of 3 and i.
3
Let i = 670813/56370 - 1/5637. What is the common denominator of i and 1/2 - (-262)/(-40)?
20
Let g = -2065/2 - -1010. Let b = 4229 - 67729/16. What is the common denominator of b and g?
16
Suppose 0 = -2*k + 7*k. Let i(g) = -g**2 + g. Let p(v) = -v + 1. Let j(f) = i(f) + p(f). What is the lowest common multiple of 2 and j(k)?
2
Suppose 5*n = -47 + 2. Let q(l) = l**3 + 9*l**2 - l - 12. Let f be q(n). What is the common denominator of (f/20)/(12/(-830)) and 13/4?
8
Let o = -1 + 8. Let d be ((-12)/(-5 + 2))/(-2). Let a = d + o. Calculate the lowest common multiple of a and 3.
15
Let s(p) = -4*p - p + 0 + 3*p - 2. What is the lowest common multiple of s(-10) and -3*(28/(-6) - 2)?
180
Suppose 0 = 5*z - 14 - 1, g + 6 = -2*z. Find the common denominator of (-130)/g*4/6 and (904/12)/(-8 + 4).
18
Let t = -246 + 5343/22. Calculate the common denominator of -27/44 and t.
44
Calculate the least common multiple of 18/(-1)*(-4)/6 and 3/9*1 - 29/(-3).
60
Let z = 6 - 3. Suppose 3*l + q - 59 = 0, l + 0*q - 4*q + 2 = 0. What is the lowest common multiple of (8 - -1) + (2 - z) and l?
72
Suppose 0 = 2*h + h - 54. What is the smallest common multiple of 5/1 - (-6)/(-2) and h?
18
What is the common denominator of ((-417)/96 - -4)/((-5)/(-4)) and 89/44?
440
Suppose -3*b + 66 = 3*x, 4*x = -b - x + 38. Calculate the lowest common multiple of 10 and b.
90
Let g = -879 - -1389. What is the common denominator of -89/10 and 1*2 - g/(-24)?
20
Let z(q) = q - 9. Let n be z(9). Find the common denominator of 12/11 and (n - -3) + 86/(-12).
66
Let v = -1 + 3. Suppose 48 = 5*z - 2*s, 0*z + v*s + 16 = z. Let b(k) = -k**2 + 5*k + 2. Calculate the smallest common multiple of z and b(4).
24
Let o(s) = -426*s**2 + 4*s + 8. Let u be o(5). Let z = u - -106119/10. What is the common denominator of z and (-10)/(-16)*(-66)/3?
20
Let j be ((-4)/1)/(6/(-51)). Suppose 2*m - 6 = j. Calculate the smallest common multiple of 22 and m.
220
Let h = 1031/102 + 7/408. Calculate the common denominator of h and 63/4.
8
Let c = 42977/10 - 4302. Find the common denominator of ((-3)/(-35))/(2/7) and c.
10
Suppose -8*g + 30 = -2. What is the smallest common multiple of 2/2 - (1 + -4) and g?
4
Let m = 1616 + -3325/2. Calculate the common denominator of -43/122 and m.
122
Suppose 81 = -4*n - 31. Find the common denominator of 58/n - 0/11 and 19/12.
84
Let q(g) = -9*g**2 + 4*g + 5. Let n be q(-4). Let f be 1/4 + n/(-4). What is the common denominator of -1 - (2 - f/(-18)) and 3/10?
30
Let g = -25 + 27. Calculate the common denominator of -131/6 and g.
6
Let t be 1/(0 - (-2)/24). Let n