 -80. Find the common denominator of ((-6)/w)/((-2)/a) and -39/4.
12
Suppose -4*u + 10 = -3*u. Let v(p) be the second derivative of p**4/12 + 2*p**3/3 + 2*p**2 - 2*p. Calculate the least common multiple of v(-6) and u.
80
Let o(n) = 4*n + 25. Let w be o(-5). Suppose 2*v - y + 2*y = 2, 18 = w*v - 4*y. Let p = 24 - 12. Calculate the smallest common multiple of p and v.
12
Let g = -52287 - -2509939/48. Let c = 79/144 + g. Find the common denominator of c and 34/(-32) - (2 - 1).
144
Let j = -18/1201 - -116821/21618. Let a = 14317/4340 - -1/868. Calculate the common denominator of a and j.
90
Let y(v) = 5*v - 7. Let n be y(6). Let z = n - 12. Let m(q) = -q**2 + 14*q - 13. Calculate the least common multiple of m(z) and 22.
220
Let c be ((-27 + 1)/2)/(-1). Let y = c - 1. Let g(u) = -2*u - 10. What is the least common multiple of g(-6) and y?
12
Let z(x) = 2*x**2 + 6*x - 2. Let n(i) = -i**3 + i**2 - 2*i - 4. Let h be n(0). What is the lowest common multiple of 0 + 5 - (-48)/12 and z(h)?
18
Let x be 63/(-1) + 4 - 1. What is the common denominator of (-3)/(-1) + 635/x and 43/(-4)*-2 - -1?
12
What is the common denominator of -55/54 and (-33)/6 + (-1)/(-12)*3?
108
Suppose -3*t - 4 - 4 = 4*o, -o = -5*t - 21. Calculate the lowest common multiple of o and 2.
2
Let y = 27/56 - 6/7. What is the common denominator of 2 - (644/40 - 5) and y?
40
Let f = -4 + 8. Suppose -5*i + i + 23 = -r, 4*r - 13 = -5*i. What is the smallest common multiple of i and f?
20
Let k = 102645/7 + -14494. Let b = k - 21947/126. Find the common denominator of b and (-978)/(-168) - 1/(-4).
126
Let w(i) = i**2 - 4*i + 5. Calculate the smallest common multiple of 2/19 - (-2358)/342 and w(4).
35
Let b(p) = 12*p + 72. What is the smallest common multiple of b(19) and 35?
2100
Find the common denominator of 31/55 and 5 + 0/(-1) - 28476/11088.
220
Calculate the common denominator of 35/11 and (21/(-9))/(3/5).
99
What is the smallest common multiple of 700/(-40)*24/(-21) and 220?
220
Let p = -36843425/14 + 2630540. Let a = -1131 - p. What is the common denominator of (-2)/7 + ((-22069)/(-42))/29 and a?
42
Suppose 6 = -v + 24. Let n be 4/32*4*68. Let t = n + -16. What is the smallest common multiple of t and v?
18
Let d be (-8)/28 - (-471)/7. Let z = d + -336/5. Find the common denominator of 9/169 and z.
845
Let c = -188/5 + 2371/60. Find the common denominator of -41/141 and c.
564
What is the common denominator of -55/8 and (-108)/(-10) - 1/(-1)?
40
Let l = 256 - 216. What is the least common multiple of 16 and l?
80
Let l be (-1)/(-4) + (-135)/(-36). Suppose -28 = -l*o - 4*k, 4*k = -0*k + 12. What is the least common multiple of 10 and o?
20
Let h(q) = -q**2 - q + 20. Calculate the smallest common multiple of (-637)/(-52) - (-2)/(-8) and h(0).
60
Suppose 4*i - p = 31, 4*p + 25 = 4*i - 3. Calculate the smallest common multiple of i and (-2)/10 - 161/(-5).
32
Calculate the common denominator of -77/8 and -33*(-588)/(-12960) + (-4)/(-18).
40
Let d = 2994/55 - 524/11. Let g = -16490195375/1932852248 - 10032/105367. Let j = 4/2293 + g. Find the common denominator of d and j.
40
Let u(o) = -31 + 12 + 17 + 5*o - o**2. Calculate the least common multiple of 5 and u(3).
20
Let f = -4 - -14. Let c(j) = -j**2 + 9*j - 6. Let y be c(f). Let t = y - -24. Calculate the lowest common multiple of 4 and t.
8
Suppose 41*n - 312 = 344. What is the lowest common multiple of 24 and n?
48
Let o = 81165608 - 1785980343/22. Let s = o - -15314. What is the common denominator of s and 85/74?
814
Let j(b) = -4*b. Let r be j(6). Let s be (-10)/4*r/30. Suppose -p + 0*p + 82 = s*t, 5*p - 164 = -4*t. What is the common denominator of t and 59/10?
10
Let u be (-3)/12 + (-33)/12. Let q(k) = k**3 + 3*k**2 - k + 2. Let g be q(u). Suppose 29 = g*x - 51. What is the smallest common multiple of x and 8?
16
Suppose -3*d + 9 + 3 = 0. Suppose 2*b = -d*m + 8, -4*m + 2*m + 4 = 4*b. Suppose -m*a + 16 + 4 = 0. What is the smallest common multiple of a and 14?
70
Let n = 39 + -41. Calculate the lowest common multiple of 20 and (-164)/(-6) + n/(-3).
140
Let b(s) = 20*s - 429. Calculate the least common multiple of b(22) and 412.
4532
Let r = -60 - -246. Let y = r + -162. Calculate the least common multiple of 24 and y.
24
Find the common denominator of ((-12)/(-50))/(8/(-10)) and (-2)/(224/(-808)) + 1/2.
70
Suppose 12*j - 45 = 7*j. Let b = 23 - j. What is the smallest common multiple of b and 22?
154
Suppose 27 = 6*t - 117. What is the smallest common multiple of t and 132?
264
Suppose 9*j = -172 + 208. Calculate the smallest common multiple of j and 8.
8
Suppose -89 + 33 = -8*p. Let a = 0 - 0. Suppose 5*d + 3*i - 49 = a, -2*d + 3*i = -2*i - 32. Calculate the least common multiple of p and d.
77
Let x(i) = -4*i**2 + 23*i + 2. Calculate the smallest common multiple of 22 and x(4).
330
What is the lowest common multiple of (14168/(-23))/(-1) + 1*-4 and 72?
1224
Suppose j + 75 = -4*j. Let w be j/(-6)*(-2)/(-610). Let o = w + 2803/366. What is the common denominator of o and 38/11?
33
Let f be (-8)/(-12) - (-38)/(-3). Let l be 3 + (-4)/(f/7749). Let r = l - 10409/4. What is the common denominator of r and 11/20?
20
Let n be 3 - 1 - 1595/90. Let w = -1987/72 - n. Calculate the common denominator of 531/(-42)*(-3)/(-9) and w.
56
Suppose 9 = s - 5. Suppose 0*j = j - s. Let y = j - 2. Calculate the lowest common multiple of 12 and y.
12
Let b = -12966 + 259441/20. Calculate the common denominator of b and 127/110.
220
Let h(q) = -14*q**3 - 3*q**2 + q + 7. Let t be h(-2). Let d = -72 + t. Calculate the lowest common multiple of 18 and d.
198
Let s = 142106 - 572921/4. Let l = 1130 + s. What is the common denominator of l and -13/20?
20
Let h be (-4121)/(-132) + (44/16 - 3). Let d = h - 2221/66. Find the common denominator of -65/12 and d.
132
What is the common denominator of (1894/252 - 11/22) + (-20)/(-210) and 4/18 + 14/12?
18
Calculate the common denominator of -14/79 and ((-1320)/(-99))/(3/(9/7)).
553
Let p be 1763130/(-70)*(-14)/18808. Let r = 3/2351 + p. What is the common denominator of r and 115/18?
36
Find the common denominator of (-1)/2 + ((-121)/(-18) - 7) and 4 - (1024/84)/4.
63
Suppose 0*l - 6 = -3*l. Let c(t) = t**3 - 10*t**2 + 8*t + 11. Let w be c(9). Suppose -w*q + 5*q - 12 = 0. What is the least common multiple of q and l?
4
Suppose 2*l + 35 = 5*f, 6 = 3*f + l - 4. Suppose 5*k + 2*y = -216, 137 = -5*k - y - 81. Let t = 49 + k. What is the smallest common multiple of t and f?
5
Suppose 3*j - 77 + 14 = 0. Suppose 436 = 86*w + 350. Calculate the smallest common multiple of w and j.
21
Let r = 1 + 8. Suppose -j - 3 + 0 = -i, -4*i + r = -j. Find the common denominator of 2 - (i + 67/2) and -4/5.
10
Suppose 0 = 16*h + 18*h - 952. Calculate the smallest common multiple of 35 and h.
140
What is the smallest common multiple of 22 and 48/72 - 49/6*-8?
66
Suppose 19*v - 10*v = 1971. What is the least common multiple of 27 and v?
1971
Suppose 2*i - 3*y = -3096, 4*y + 7694 = -3*i - 2*i. Let u = i + 15377/10. What is the common denominator of (7/8)/((-6)/(-54)) and u?
40
Calculate the common denominator of (1112/36)/((-12)/(-9)) and 2/(-8) - 133/(-12).
6
Let m(l) = -l + 3. Let j = -7 + 27. Let h = j - 14. Calculate the smallest common multiple of h and m(-7).
30
Let f = 1268 + -1200. What is the smallest common multiple of 80 and f?
1360
Let z be (-184)/345*(-3)/(-202). Let j = -4609/8080 - z. What is the common denominator of j and -77/6?
48
Let x be (284/(-30))/((-5)/3). Let r = 488728928/225 + -2172119. Let i = r - x. What is the common denominator of i and -12/11?
99
Suppose 5*k - 21 = -t, -3*k = -4*t - 34 + 3. Let i be t/(-1*8/6). Suppose i*n = -1 + 10. What is the lowest common multiple of 5 and n?
15
Let h = 33 - 29. Suppose 13 = 3*v - 2. Suppose -9*p = -h*p - v. What is the lowest common multiple of p and 9?
9
Let n(s) = s - 20. Let l be n(7). Suppose -69 = h - 4*h. Let y = l + h. What is the smallest common multiple of 6 and y?
30
Let q(v) = v**2 - 5*v + 1. Calculate the smallest common multiple of q(5) and ((-11)/((-77)/(-350)))/(-2).
25
Suppose 10*h - 2*s - 378 = 6*h, -2*h + 184 = -2*s. Calculate the lowest common multiple of h and 8.
776
Let y(s) = -s**2 + 23*s - 46. Let c = 95 - 79. Calculate the lowest common multiple of 