Let c(t) = 5501*t - 1. Let m be c(1). Let b = -60543/11 + m. Calculate the common denominator of -1*-118*(-1)/(-18) and b.
99
Let t = 7 + -12. Let p = 29 - 30. Let h = p - t. What is the smallest common multiple of 11 and h?
44
Let s = -10391/644 + 436/23. Calculate the common denominator of 75/22 and s.
308
Let u be 0 - (-4 + (-1)/(-1)). Suppose -5*h = 5*g - 35, u - 1 = -h + 2*g. Calculate the least common multiple of 18 and h.
36
Suppose 0 = -5*p + 3*y + 39, -p - 3*p = -y - 34. Calculate the lowest common multiple of p and 5.
45
Let i = 2210/1221 + -21/37. Find the common denominator of i and 48.
33
Let k(c) = c**2 - 7*c + 7. What is the smallest common multiple of 6 and k(7)?
42
Let v(q) = q**3 - 4*q**2 + 3*q - 5. Let m be v(4). Let n = 12 - m. Let k = 11 + -8. Calculate the smallest common multiple of k and n.
15
Suppose -3*h = 5*t - 131, 4*t + 5*h + 0 = 110. Suppose -4*n - 3*k + t = -17, 0 = -5*n + 2*k + 41. What is the smallest common multiple of 5 and n?
45
Let b(v) = -v**3 + 5*v**2 + 4. Let k = 398/13 + -10408/351. Let z = k + 1493/216. Calculate the common denominator of z and b(5).
8
Let a(l) = l + 4. Let s be a(-6). Let k be -6 - (-1 - s) - 2. Let x = k + 19. What is the smallest common multiple of 7 and x?
70
Suppose 0 = 3*g - z - 137, 2*z = -3*g - 3*z + 143. What is the least common multiple of 1 and g?
46
Suppose -i + 148 = 3*i. Let o be i/5 + 16/(-40). Find the common denominator of (-6)/o + 2*-1 and 14/5.
35
Let c be (-1)/(-2 - -1)*-4. Let y be (-30)/(-4)*c/(-6). Suppose -4*t + y = -3. Calculate the least common multiple of t and 20.
20
Let w(l) = -l - 3. Let s be w(-3). Let c = 2 + s. Suppose -o = c - 20. What is the least common multiple of o and 10?
90
Calculate the least common multiple of 196/24 - (-1)/(-6) and 88.
88
Let k be 2/1 - 1/1. Suppose h = -0*h - k, -2*v + 161 = -h. Suppose 4*c - v = -8. Calculate the least common multiple of 2 and c.
18
Let o = 169679/22 - 7715. Calculate the common denominator of o and -1 + 36/64 - (-3)/(-1).
176
Let s(b) = b**2 - b - 9 - 2*b**2 - 4 - 13*b. Suppose -d + 2 = -2*a + d, 5*d = 4*a + 9. What is the smallest common multiple of a and s(-12)?
44
Let x be 30/(-12)*(-6)/(-5). Calculate the lowest common multiple of 2 and ((-8)/x)/(4/18).
12
Suppose l + 0*l = -4*s + 39, -2*s - 5*l + 15 = 0. What is the least common multiple of s and 18?
90
Suppose -5*c = 25, -z = 2*c - 8 - 4. Calculate the common denominator of ((-4)/(16/z))/(-5) and -53/5.
10
Let j(b) = b**2 - 2. Let g be j(-2). Find the common denominator of g/(-12)*(-87)/6 and -101/10.
60
Let t = -1231 + -5225. Let j = t + 90455/14. Calculate the common denominator of j and -59/12.
84
Let q(w) = -w**3 - w**2 - 2. Let b = -20 + 21. Calculate the least common multiple of q(-2) and -1*(-3)/b + 0.
6
Suppose 3*a - 3*i - 29 = a, 2*i = 2*a - 30. Calculate the smallest common multiple of 46 and a.
368
Let s be 3/(-15) + (-922)/240. Let t = s + -21/8. Find the common denominator of -25 and t.
3
Let o(w) = -5*w - 1. Let r be o(4). Let v = -13 - r. What is the lowest common multiple of 9 and v?
72
Let j = 1959 + -21511/11. Find the common denominator of 17/10 and j.
110
What is the smallest common multiple of 11 and 54/5 + 15/75?
11
Let p(u) = -u**2 + 10*u. Let a(g) = g**2 - 11*g + 1. Let l(x) = 2*a(x) + 3*p(x). Let w = 12 + -8. What is the lowest common multiple of w and l(6)?
28
Let q = -2/131 + -3251/1572. Let p = -6/335 - -13089/1340. Find the common denominator of q and p.
12
Let j(q) = q - 1. Calculate the smallest common multiple of j(23) and 16.
176
Let n = -38 - -18. Let d = 2 - n. Suppose -3 = 5*p - 3*p + 3*x, -p = 5*x + 19. What is the lowest common multiple of p and d?
66
What is the common denominator of 30/7 and (-760)/(-12)*(-4)/(-48)?
126
Let r(i) = i**2 + 7*i + 8. Let t be r(-6). Let v be (t + -3)/((-1)/12). What is the common denominator of (-2)/v*(-3)/(-7) and 83/18?
126
Let j = 1539/2 + -755. Find the common denominator of j and -29/11.
22
Let p be (5/3)/(-5)*-15. What is the least common multiple of (p + -2)/(-6)*-36 and 10?
90
Suppose -2*q = -0*q - 28. Let b = -35 + 9. Let p = b - -44. What is the lowest common multiple of p and q?
126
Let z be -3 + 6/(2 + 0). Let p(v) = -v**3 - v**2 - v + 4. What is the lowest common multiple of p(0) and (-1 - z - -3) + 16?
36
Let v(u) = u + 6. Let b be 6/(5 + -2) - 0. Suppose b*g - g = -4*w + 4, 3*g - 2*w = 12. Calculate the smallest common multiple of g and v(5).
44
Let o = 3 + 6. Let w = -513 + 522. What is the least common multiple of w and o?
9
Let k(s) = 2*s + 7. Let x be k(-5). Let r(t) = 577*t**2 - t - 4. Let v be r(x). Let m = v - 46657/9. What is the common denominator of m and 103/6?
18
Let s(o) = o**3 + 7*o**2 + o + 7. Let f be s(-7). Let j = f + 0. Suppose j*u = 3*u - 33. Calculate the lowest common multiple of 11 and u.
11
Let w = -45319/6391 - -1/6391. Let n = 91/33 + w. Calculate the common denominator of n and 43/4.
12
Find the common denominator of 0/(-4) + 275/(-90) - 4 and 7/16.
144
Suppose -a - 3 = -2*a. Find the common denominator of 1263/(-420) - a/21 and 1/(-9)*14/4.
180
Suppose 2*t + 4*g = 5*g + 37, 3*t + g - 53 = 0. Calculate the least common multiple of t and 15.
90
Let j = 1020/7 - 17527/126. What is the common denominator of -101/6 and j?
18
Let z(n) = -6*n - 1. Let x be z(-1). Let k = x - 2. Calculate the least common multiple of 21 - (0/1 + k) and 12.
36
What is the smallest common multiple of 4 and (-22)/(-6) - (-4)/12?
4
Let b(g) = -6*g**2 + g + 2. Let q(d) = 1. Let l(r) = -b(r) + 2*q(r). What is the smallest common multiple of l(-1) and 2 + 5 - (-1 - -1)?
7
Let c(j) = 2*j**2 + j + 1. Let g be 6*(-1)/((-6)/3). Suppose -u + 10 = g. What is the lowest common multiple of c(2) and u?
77
Suppose 2*w + 2 + 6 = 0. What is the common denominator of -11/9 and ((-2)/w)/((-22)/(-28))?
99
Let x(h) = -h**2 + 8*h + 2. Let r(m) = 2*m - 4. Let w be r(5). Let t be x(w). Suppose -3*g + g + t = 0. What is the smallest common multiple of 3 and g?
21
Let i be (10/(-7))/((-1)/7). Let t(o) = -o + 13. What is the smallest common multiple of 2 and t(i)?
6
Let h = -824 + 2521/3. What is the common denominator of 14/9 and h?
9
Let v = 11435/6 + -1911. Calculate the common denominator of 3/(-4)*134/3 and v.
6
Suppose -u + 0*u = 0, -u - 8 = -4*d. What is the least common multiple of d and 4?
4
Let y be (2*-5)/((-6)/(-2532)). Let b = y + 50719/12. Find the common denominator of 8/(-36) + (-523)/198 and b.
132
Let f = -33 + 67/2. Find the common denominator of f and 17/11.
22
Let u = -8/527 - 6691/10540. Find the common denominator of u and -35/3.
60
Let m = 29 + -18. Calculate the lowest common multiple of (-44)/(-10) + (-8)/20 and m.
44
Let u = 2/3373 + -138297/6746. Calculate the common denominator of u and -7/9.
18
What is the common denominator of 113/12 and (-2*(-111)/(-84))/(66/77)?
12
Let t = -505299/20 - -25270. Find the common denominator of t and -17/16.
80
Calculate the common denominator of ((-26)/(-24))/((-6)/84) and -109/20.
60
Let z be 2/(-44)*(-205830)/2. Let x = z + -4674. What is the common denominator of x and 131/6?
66
Suppose -2*h = 4*m - 84, m - h - 28 = -5*h. Calculate the lowest common multiple of m and 6.
60
Let y = 10 + -6. What is the common denominator of (20/(-165))/(y/(-78)) and -19/11?
11
What is the common denominator of -31/10 and (-873)/30 - (-6)/10?
10
Let x(s) = 3*s - 3. Let y be x(6). Let c be ((-10)/y)/(1/(-3)). Suppose a - 20 = c. Calculate the smallest common multiple of a and 12.
132
Suppose -21 = -2*u + 9. Calculate the least common multiple of u and 9.
45
Let o = -9414/11 + 54977/66. Let c = 1164375545573/3820 + -304810355. Let s = 18/191 - c. What is the common denominator of s and o?
60
Let q be 2*1*-2 - 2. Find the common denominator of 1 - (1 - 101/8) and 351/q*(-2)/6.
8
Let l = 36 - 17. Suppose 3*b + 7*p + 14 = 3*p, 0 = -2*b + 3*p + l. Calculate the common denominator of 3 - b - (-72)/(-10) and -31/8.
40
Let q = 6569/3 + -144383/66. Find the common denominator of q and -11/16.
176
Calculate the smallest common multiple of 165*(-12)/(-126) - 2/(-7) and 8.
16
Let u = -129/7 + 1440/77. Let h = -217 - -417/2. Calculate the common denominator of u and h.
22
Suppose p + 2*p = 42. Suppose 4*r + 130 = 17*r. Calculate the smallest common multip