Calculate the smallest common multiple of z and 8.
24
Calculate the common denominator of 77/282 and 0/18 + 115/80.
2256
Let p = 2603/90 + -116/5. Let r = -371/2 + 232. Find the common denominator of p and r.
18
Let r(x) = x**2 - 2*x + 4. Let n be r(-3). Let s = n + 10. Let d = s - 21. Calculate the smallest common multiple of d and 9.
72
What is the common denominator of -2*15*(5 - 82/16) and -17/344?
344
Calculate the least common multiple of 9 and ((-108)/(-8))/(4/8).
27
Let n = 100 - 91. Suppose -n*x - 3*x = -192. Calculate the lowest common multiple of 28 and x.
112
Let a = -31 - -119. Let s = a - 82. Calculate the smallest common multiple of s and 1 + (-10)/(-3 + 1).
6
Let z be (-4)/(-2) + 21351/(-9). Let y = 113533/48 + z. Let h = -259/2 - -140. What is the common denominator of h and y?
16
Let i = -1725619/72 - -23966. Let a = 96089/12 - 8003. Find the common denominator of i and a.
72
Let i = 3 + 3. Suppose -6*o + 2*h - 16 = -7*o, 2*h = 2*o - 14. Calculate the least common multiple of o and i.
30
Let p = -13325114/22927437 + -2/195961. Calculate the common denominator of -113/78 and p.
234
Suppose 2*n = -18 + 102. Calculate the smallest common multiple of 77 and n.
462
Let j be (605/(-90))/((-8)/(-3)). Let o = j + 7/3. What is the common denominator of o and (-5)/((-70)/71) - 1?
112
What is the lowest common multiple of (-4)/(-10) + (-36)/(-10) and 14?
28
Let l = 551 + -8819/16. Let n = 10/829 - 30773/8290. Find the common denominator of l and n.
80
Let z(k) = k**2 + 2*k + 7. Suppose -q - 3*t + 12 = -3*q, 3*q + 13 = 2*t. What is the least common multiple of z(q) and 5?
10
Suppose 32 = 2*r - 0*r. Let s(x) = 3*x**3 + 16*x**2 - 106*x - 29. What is the least common multiple of r and s(5)?
432
Let v = 6212 - 99347/16. What is the common denominator of v and -25/74?
592
Let c be ((-4)/((-24)/27))/((-66)/320). Let m = 1121/66 + c. Find the common denominator of m and 55/18.
18
Let d = 25859 - 1034299/40. Calculate the common denominator of d and 63/2.
40
Let l(c) = -c**2 + 8*c - 5. Let g be l(7). Suppose -2*k - g*i = -4*i - 12, 14 = -k + 5*i. What is the least common multiple of k and 0 - (-1 + 0 + -9)?
110
Suppose 30*f - 18*f - 132 = 0. Find the common denominator of 22/5 and f.
5
Suppose -4*k + 31 + 5 = 0. Calculate the least common multiple of 24/2*((-170)/(-78) - 100/(-650)) and k.
252
Calculate the common denominator of ((-76)/10)/(144/(-210)) and -2 + 2/16*830/15.
12
Suppose 0 = -5*b - 5*x + 55, -3*x - 1 = b - 8*x. Suppose -4*k = b - 1, 4*r - 46 = -k. What is the least common multiple of 44 and r?
132
Calculate the common denominator of -8/21 and -4*(-2)/2 - (-44)/616.
42
Let z = 314/91 + -22/7. Let f = -3165/917 + 3/131. Calculate the common denominator of z and f.
91
Let s be 14/(-60)*(-32)/132216. Let f be (-1115)/(-28332)*(-119110)/875. Let n = f + s. Find the common denominator of -45/4 and n.
28
Suppose -3*n + 2*v = -260 - 72, -3*n = v - 329. What is the lowest common multiple of 110 and n?
110
Let y(l) = -l**3 + 4*l**2 + 12*l + 1. What is the smallest common multiple of 10 and y(6)?
10
Let d = 2771/11 - 253. Let n(i) = 963*i**2 - 3*i + 4. Let a be n(1). Calculate the common denominator of 0 - (6/15 - a/(-40)) and d.
22
Let k = -25524 + 3190539/125. Find the common denominator of -87/10 and k.
250
Let c(p) be the third derivative of 5/6*p**3 + 0*p + p**2 + 7/24*p**4 - 1/60*p**5 + 0. What is the smallest common multiple of 4 and c(7)?
20
Let d(s) = s**3 + s - 22. Let f be d(0). What is the common denominator of 18/4*f/(-2) and 33/2?
2
Let s be (-2)/4*(30 - 2). Let n = -4 - s. Suppose 2*q + g = 27, 4*q + 0*q = g + 69. What is the smallest common multiple of n and q?
80
Let m be -12*(4 - 105/(-10)). Let f be ((-15)/10)/(3/m). Calculate the common denominator of (10 + 0)*f/36 and -62/3.
6
Let a be (-3 + 9)*(-4)/(-6). Let v(j) = -2*j**2 + 9*j. Let p(b) = 2*b**2 - 8*b - 1. Let w(t) = 4*p(t) + 3*v(t). What is the least common multiple of w(a) and 2?
8
Let k(w) = 3*w**2 + 20*w + 16. Calculate the smallest common multiple of 305 and k(-6).
1220
What is the least common multiple of -6 + -1 + 5 + 9 + 9 and 596?
2384
Let x = 68877/5146 - 411/31. What is the common denominator of 21/4 and x?
332
Let w be (-71259)/(-11) + 30/12. Let d be 9/6*(-4323 + 1). Let h = d + w. Find the common denominator of h and 95/8.
88
What is the smallest common multiple of 100 and 7/((-84)/(-296)) + 8/(-12)?
600
Suppose 4*w + 1 - 13 = -2*c, 0 = 2*w - 4. Suppose 64 = -c*d - p, 2*d - p = 5 - 69. What is the least common multiple of 45/(-12)*d/6 and 10?
20
Let u be 123/(-18) - (-3)/36*-2. Suppose 0 = v + 5*k - 3, 3*v + k - 35 = -k. Let m = v + u. What is the lowest common multiple of m and 22?
66
Let v = 21/358 - 8855/1432. What is the common denominator of 31/36 and v?
72
Let o = 887 + -882. Calculate the lowest common multiple of o and 35.
35
Let t(q) = -13*q - 276. Calculate the lowest common multiple of 44 and t(-22).
220
Let k = -319139/24 + 13295. Calculate the common denominator of 103/18 and k.
72
Let s be (-40)/((4/2)/(-1)). Let h = -14 + s. Calculate the lowest common multiple of h and 8.
24
Suppose 96 = 2*y + w - 113, 2*y - 208 = -2*w. Suppose -5*h + 93 + 27 = -b, -4*h + y = b. Let f = h - 19. Calculate the smallest common multiple of 22 and f.
66
Suppose 14*j - 80 = 466. What is the lowest common multiple of j and 39?
39
Let s = 87 + -73. Suppose -3*j - l - 6 + 34 = 0, 4 = -2*l. What is the lowest common multiple of j and s?
70
Let a = -4/14007 + -881765/2367183. Let u = 6242/4563 - a. Calculate the common denominator of u and 37/12.
108
Let u be (-720)/33 - (-4)/(-22). Let j = 32 + u. What is the lowest common multiple of 5 and j?
10
Suppose -2 = -u - 2*l, 2*l - 3 = -5*u + 7. Suppose u*d - 2*i - 14 = 0, 0 = 5*d - 4*i - 39 + 2. Calculate the least common multiple of d and 2.
18
Let n = -9 + 15. Suppose -4*v - 5*f + 2*f + 11 = 0, 5*v = -f + 11. Suppose -6*q = -v*q - 112. What is the lowest common multiple of n and q?
84
Suppose 67*l + 26*l - 39804 = 0. What is the least common multiple of 44 and l?
4708
What is the smallest common multiple of 45 and 869/44 - 4/(-16)*1?
180
Let r(g) = -g + 3. Let w be r(-3). Suppose 3*h = w*h + 30. Let f = -1 - h. What is the lowest common multiple of f and 6?
18
What is the common denominator of -63/16 and ((-5)/300 - 0)*31?
240
Let q(k) = k**2 + 13*k - 18. Let f be q(-10). Calculate the least common multiple of (f/7)/((-6)/21) and 16.
48
Let m be (-2*115/(-5))/(-2). Let w = -121/6 - m. Find the common denominator of -49/4 and w.
12
Let s = 25433/5 + -5107. Let m = s + 56/3. Calculate the common denominator of m and -56/33.
165
Let i = 204161/149430 + 2/4981. What is the common denominator of -87/4 and i?
60
Let t = 265927/18 + -14770. What is the common denominator of -23/2 and t?
18
Let r = 1005 - 2417. Let k be (-1)/((-33818)/33842 - -1). Let q = k - r. Find the common denominator of -74/9 and q.
36
Suppose 0 = -2*n + 135 - 125. Suppose 0 = -n*b + 11 + 109. Calculate the lowest common multiple of b and 1.
24
Suppose 4*l - 2*k = 8*l - 172, -2*k = 2*l - 88. What is the lowest common multiple of 6 and l?
42
Calculate the common denominator of -25/56 and 1507/(-110)*((-62)/(-24) - 3).
168
Suppose 0 = -b - 0*b + 16. Let h be ((-6)/4)/(3/(-6)). Suppose h*d - 49 = -19. What is the least common multiple of b and d?
80
Let o = -5132839102054753/666584349169806 + 3/174516794735. Let z = -2/9549 - o. What is the common denominator of z and (-8)/(-4) + (-138)/9?
30
Suppose -v = -5*v. Let p = -905/6 - -1847/12. What is the common denominator of (-2)/(v - 32/190) and p?
24
Let g(b) = -b**2 - 12*b. Let h be g(-8). Let m(v) = -6*v + 96. Let r be m(15). Find the common denominator of 92/r*(-16)/h and 39/4.
12
Suppose -56 = -5*p + 4*k, 27 = 5*p - 3*p + 3*k. Let u(m) = -m**3 + 13*m**2 + 33*m - 15. What is the least common multiple of u(15) and p?
60
Suppose 4*k + 2*o = 76, -2*k + 2*o = 7*o - 30. What is the least common multiple of k and 36?
180
Let p = -5424 - -65233/12. Find the common denominator of (291/18)/(8/(-6)) and p.
24
Let m(x) = 7*x + 4. Let g be m(-3). Let w = -13 - g. Suppose -s + w*s - 17 = -2*j, 0 = 4*j - 2*s + 6. Calculate the lowest common multiple of j and 3.
3
Let k = 38 + -693. Let o = -3221/5 - k. What is the c