 -2*p + 3*h + 15 = -4. Suppose -w - y + 7 = -2*y, 2*w = 5*y + p. Calculate the least common multiple of 2 and w.
6
Let l = 10 + -8. What is the smallest common multiple of 8 and l?
8
Let d be (-2)/14 + (-9038)/(-7). Let p = -10343/8 + d. Calculate the common denominator of 113/12 and p.
24
Suppose -h - 5*v = -33, -2*h + 38 = 4*v - 10. Let d(t) = 110*t - 2. Let m be d(-5). What is the smallest common multiple of h and (-2)/(-7) - m/28?
180
Let c = 1909 - 9499/5. Calculate the common denominator of c and -7.
5
Let i be (4 - -3) + -1 + 2. Let q = i + 14. Suppose 2*s - 28 = -0*n - n, 3*n = 5*s - 92. What is the least common multiple of q and s?
176
Find the common denominator of -73/14 and (-156)/18*(-18)/152.
266
Find the common denominator of -49/22 and (15/(-306))/((-2)/18).
374
Let m = 151 + -97. Calculate the least common multiple of 48 and m.
432
Let w(k) = 12*k - 4. Calculate the smallest common multiple of 12 and w(2).
60
Let m be -2 - (-1 - (-10 - -1)). Let a = 22441/18 - 1242. Find the common denominator of ((-2)/16)/(m/(-76)) and a.
180
Calculate the common denominator of -81/14 and (8 - 7)*70/16.
56
Find the common denominator of 332/(-6)*3/(-8) and 189/24 + 2/8.
8
Let x(n) = n - 4. Let l be x(6). Suppose -2*i + 0*b + 14 = -l*b, 4*i = 5*b + 33. What is the smallest common multiple of 1 and i?
2
Suppose 2*i - 2*c + 6*c - 18 = 0, 0 = -4*i - 5*c + 36. Calculate the common denominator of -37 and (-12)/i*(-105)/(-12).
3
Let h = 2/2005 + -70183/8020. What is the common denominator of h and -89/32?
32
Let v = -4321/1278 - 253/71. Find the common denominator of v and 43/20.
180
Suppose -4*x + 24 = -x. Suppose l + q + 2*q + x = 0, 5*l = 5*q + 40. What is the smallest common multiple of l and 4?
4
Suppose 27 = -5*k + 127. Let y(u) = -u - 1. Let z(l) = -6*l - 12. Let t(x) = 12*y(x) - z(x). Calculate the least common multiple of k and t(-2).
60
Suppose 0 = -u - 63 + 1041. Let z = 4917/5 - u. Calculate the common denominator of 22/7 and z.
35
Let q = -33 + 45. Calculate the smallest common multiple of q and 32.
96
Let u = -137 - -203. What is the least common multiple of u and 20?
660
Suppose c = -0 + 3. Suppose -v = c*k - 41, 2*v = -5*k + 69 - 2. Calculate the least common multiple of 2 and (-2)/(-2 - k/(-9)).
6
Let l(n) = -3*n - 7. Let s be l(6). Suppose 4*p + 32 = -4. Calculate the common denominator of (p + 8)*s/(-6) and -41/10.
30
Let r = 3477 + -2287. Let s = r - 19023/16. What is the common denominator of s and 117/14?
112
Let w be (-3)/(-2)*4/6. Suppose -2*z - 3 = -4*t + w, t + 2 = z. Let d = 9 + -5. Calculate the lowest common multiple of z and d.
12
Let v = 594 - 5335/9. Calculate the common denominator of v and 5/19.
171
Let c(m) = m**3 - m**2 + m - 8. Let r be c(0). Let s = r - -9. Let b = -1987 - -21885/11. Find the common denominator of b and s.
11
Let t(y) = y**2 + 7*y + 8. Let m be t(-5). What is the common denominator of m*(-3)/120*-2 and 75/22?
110
Let w(t) = -t**2 - 5*t - 6. Let f be w(-5). What is the smallest common multiple of 7 and (30/18)/((-2)/f)?
35
Let j = 32 - 10. Let l(a) = a**3 - 12*a**2 - a + 15. Let k be l(12). Calculate the least common multiple of (-24)/(-18)*(0 + k) and j.
44
Let w = -3467/1460 - 42/73. Calculate the common denominator of w and (414/(-4))/(-3) + 0.
20
Let r = 13 - 21. Calculate the common denominator of 99/4 and ((-148)/(-60))/(r/(-18)).
20
Let y = -76547/10040 - 1/1255. Calculate the common denominator of y and 59/2.
8
Suppose 5*s - z - 86 = -23, -2*s + z + 27 = 0. Suppose 2*f - 5 = 7. Calculate the lowest common multiple of s and f.
12
Calculate the common denominator of -7/23 and ((-135)/(-66))/((-6)/8).
253
Let w = -2/12571 - 67443393/138281. Let y = 487 + w. What is the common denominator of 49 and y?
11
Let m(q) = -q**3 + 7*q**2 - 6*q + 4. Let z be m(6). Let c be z/19*(-10)/184. Let x = c + 12728/4807. Calculate the common denominator of -75/8 and x.
88
Suppose -2*m + 4 = 4*q - 2, q = -4. Suppose 5*i = 2*d + 2*d - 21, 0 = 2*d - 2*i - 12. What is the smallest common multiple of d and m?
99
Let x(v) = v**2 + 10*v + 1. Let y be x(-11). Suppose 4*p = -p + 5. Calculate the lowest common multiple of p and 2*(-3)/(y/(-14)).
7
Calculate the smallest common multiple of (15 + -14)*(4 + 2/1) and 10.
30
Let k(n) = -n**3 + 8*n**2 + 10. Suppose 0 = p + 4*p - 40. Calculate the smallest common multiple of (-1 - 23)/((-6)/4) and k(p).
80
Let c be 0 - -3*15166/(-48). Let d = 945 + c. Calculate the common denominator of d and -25.
8
Let u = 3777/490 - -78/49. Calculate the common denominator of ((-2)/(-3))/((-160)/(-276)) and u.
20
Let o = 14039/2583 + 8/861. What is the common denominator of o and 44/7?
63
Let j = 83/33 - 2/11. Calculate the common denominator of j and 49/11.
33
Suppose 5*v - 3 = 2*y, -4*y + v = -3*v. Find the common denominator of (-41)/(-22) - 3/y and -77/16.
176
What is the lowest common multiple of 18 + 12/(9/3) and 16?
176
Suppose -2*y - k - 3 = -1, -4 = -2*k. Suppose 12 + 33 = -5*h. Find the common denominator of h/18*25/y and 3/8.
8
Let w = -11519/7 + 1638. Find the common denominator of 103/10 and w.
70
What is the common denominator of (-2)/(-2)*(-10)/(-22) and -59/12?
132
Let g(h) = -h**3 + 10*h**2 + 6*h - 6. Let m be g(10). Let f = m - 34. Calculate the least common multiple of 16 and f.
80
Suppose -b - 5*v = -14, 2*b + 0*v - 28 = v. What is the lowest common multiple of b and 14?
14
Suppose -2*l + 4*l = -12. Find the common denominator of (-247)/(-66) + 2/l and 6/(-27) + (-2379)/594.
22
Let y = 6 - -5. Calculate the smallest common multiple of y and ((-3)/(-9))/((-3)/(-54)).
66
What is the common denominator of (22 - 41)*(-3)/(-8) and -46/5?
40
Let d = 960/6287 - -363466058/69157. Let f = d - 5260. Calculate the common denominator of -31/12 and f.
132
Let s(y) = y**3 + 9*y**2 - 9*y + 7. Let f be s(-10). Let m = 4 - -1. What is the lowest common multiple of m and 2/(f + 4) - 0?
10
Let h(x) = x**3 + 7*x**2 - 8*x - 3. Let y be h(-8). What is the smallest common multiple of 8 and (6/y - -3)*10?
40
Suppose 2*l = -3*l + 25. Let r(h) = 2*h - 4. Calculate the smallest common multiple of r(l) and 7.
42
What is the common denominator of 23/9 and 627/(-385) + 1/5?
63
Let k(t) be the second derivative of t**5/20 + 7*t**4/12 - 11*t**3/6 - 3*t**2 - t. Calculate the smallest common multiple of k(-8) and 16.
144
Let l = 8 - -2. Calculate the smallest common multiple of l and (-2)/(-4) + (-4)/(-8).
10
Suppose -2*s - 18 = -4*l, 0 = -4*s + 4*l - 6*l + 14. Suppose c = -3*c - 4. Calculate the common denominator of c*s - (-128)/28 and 7/3.
21
Suppose -3*v - 18 = 6. Let d = -331/6 + 287/3. What is the common denominator of v/66*(0 - 36) and d?
22
Let g = -30 - -50. Calculate the least common multiple of g and 14.
140
Let k = 27641483886 + -13350831626120/483. Let n = k + -10540. Let m = 2101/1932 + n. Find the common denominator of -87/2 and m.
12
Let f = -2 + 6. Calculate the least common multiple of f and 14.
28
What is the common denominator of 567/36 + 1/2 and 59/2?
4
Suppose 3*a = -0*a - 9. Let c(f) = f**2 - 5*f - 2. Calculate the smallest common multiple of c(a) and 4.
44
Suppose -3*b + 712 - 2080 = -3*q, 0 = 4*b + 20. Let j = -1372/3 + q. Let i = -244 - -425/2. Find the common denominator of i and j.
6
Let z be (212/(-108))/(3/(-9468)). Let n = -6187 + z. What is the common denominator of n and (2/(-15))/(12/(-873))?
90
Let p(s) = 4*s - 30. What is the smallest common multiple of 18 and p(9)?
18
Let p = -291 - -2333/8. What is the common denominator of 27/(-6) + 5 + 64/(-10) and p?
40
Suppose -4*f + 60 = 3*u, -u - 2*u - 3*f = -60. Suppose -3*z - u = -7*z. Let y = z - -3. Calculate the least common multiple of 14 and y.
56
Let j = 38391/79 - 3616501/5214. Let h = 2484/11 + j. What is the common denominator of -17/6 and h?
6
Suppose 0 = 8*f - 25 + 9. Suppose 3*r - 72 = -r. What is the smallest common multiple of r and f?
18
Let t(g) = g**3 - 6*g**2 - 6*g - 5. Let x be t(7). What is the lowest common multiple of -2 + (x - -14) - 2 and 12?
12
Let y(v) = -v**2 - 2. Let r be y(2). Let t = 8 - r. What is the lowest common multiple of t and 2?
14
Let m(x) = 3*x + 1. What is the lowest common multiple of (-1)/2*2*-7 and m(3)?
70
Let t(g) = 3*g**3 + 15*g**2 + 20. Let p(y) = 4*y**3 + 23*y**2 + 30. Let 