 -28. What is the common denominator of p/32*(-84)/(-110) and -113/20?
220
Calculate the common denominator of 4 - 4/(-336)*-358 and 45/22.
462
Suppose -3*u + 2*y + 9 = 4, 0 = -4*u + y + 5. Suppose -8 = -i - 2. What is the least common multiple of u and i?
6
What is the smallest common multiple of (-1 - -2 - 45)/(-11 - -9) and 4?
44
Suppose 3*v - s = 20, 2*v - 3*v - 2*s = -16. Let t be ((-8)/(-2))/(-4) - -21. What is the least common multiple of v and -1*12*t/(-12)?
40
Let v(q) = -q**3 + 13*q**2 + 14*q + 8. Calculate the least common multiple of 3 and v(14).
24
Suppose 0 = 4*c - p - 12 - 1, 12 = 4*p. Let u be (-70)/15*3/(-2). Let o(r) = -r**2 + 7*r + 2. What is the smallest common multiple of o(u) and c?
4
Let o(u) = u**2 + 11*u - 1. Let y be o(-11). What is the common denominator of y/28*(-74)/3 and -75/16?
336
Let b = 45/59 - 2308/1711. Let l = b - -3901/174. Find the common denominator of 87/2 and l.
6
Suppose 4*q - 5*q + 20 = 0. What is the common denominator of -35/4 and q?
4
Let j = 33/80 - 17/20. Calculate the common denominator of 9/22*(-5 + 2) and j.
176
Let y = 847 + -5951/7. Let p = -485/3 + 2593/15. Let l = -33/10 - p. Find the common denominator of y and l.
14
Let b = 12 + 15. Let y = b - 15. What is the smallest common multiple of y and 12?
12
Let q(i) = 3*i**2 + 15*i + 2. Let a(x) = -7*x**2 - 31*x - 3. Let t(d) = -4*a(d) - 9*q(d). What is the lowest common multiple of 11 and t(12)?
66
Suppose 126 = 2*s + 98. What is the least common multiple of 26 and s?
182
Let j = 46099/6 + -7701. Calculate the common denominator of (5/(-6))/((-36)/2052) and j.
6
Suppose -5*r + 75 = 4*w, 0*r - 3*r - 3 = 0. Let t(g) = g + 8. What is the lowest common multiple of t(-4) and w?
20
Let q = 70 - 35. Let o = 217/110 - 3/11. Calculate the common denominator of 248/q + 16/(-56) and o.
10
What is the least common multiple of 20 and (7 - 4)/(6/28)?
140
Let w = -48 - -84. Let b = 32 + -16. What is the least common multiple of b and w?
144
Let z = -3027 - -42327/14. Find the common denominator of z and -95/18.
126
Suppose -5*v + v + 4*u + 8 = 0, 0 = -2*v + 3*u + 2. Suppose 22 = -0*w + w - 2*c, c - 34 = -2*w. Calculate the least common multiple of v and w.
36
Let q = -41329/24 + 1718. Let p = -174 + 309. What is the common denominator of (4/70)/(12/p) and q?
168
Suppose 4*j - k - 32 = 0, 0 = -5*j + k + 2*k + 47. Suppose r - 2 - j = 0. Let q = 23 - r. What is the lowest common multiple of 6 and q?
42
Suppose -4*r + 0*r = 0. Suppose 60 = 6*q - r*q. Calculate the lowest common multiple of q and 16.
80
Let r = 4435/8 + -40511/72. Find the common denominator of r and 51/16 + 2 + 0.
144
Let t = 19293 + -27492527/1425. Let k = -22643/950 - t. Let b = -39327/11 + 3578. Find the common denominator of b and k.
66
Let w(n) = -n**2 + 7*n + 4. Let r be w(5). Let i = 0 + r. Calculate the least common multiple of i and 10.
70
Let s = 1273459/70098 + -2/11683. Let j = -1147501 + 13730941/12. Let t = -9799/3 - j. Find the common denominator of s and t.
12
Let a = 19/283 - -35261/1698. Calculate the common denominator of a and -83/12.
12
Suppose -4*r + 1 = -3*r. Let v = 5 + r. Suppose 28 = z + v. Calculate the least common multiple of z and 20.
220
Let z = 19 + -15. Suppose -5*f + 4 = -z*s + 41, 2 = -s - f. Calculate the lowest common multiple of s and 1.
3
Suppose f = 5*z + 6*f + 90, f - 30 = 2*z. Calculate the common denominator of -21/8 and 276/z - 3/1.
8
Suppose f = 6*f + 5. Let b = 0 + 3. Let m = b - f. Calculate the smallest common multiple of 5 and m.
20
Suppose -91 = -3*h + 35. What is the common denominator of (-15)/4*h/72 and 29/12?
48
Suppose -x = -6 + 2, 0 = 5*m - x - 11. Let g = m - -3. What is the least common multiple of g and 6?
6
Let j(m) = 114*m + 10. Let c be j(-7). Let k = c - -1545/2. What is the common denominator of k and (-340)/8 - 2*1?
2
Suppose 6 = -0*h + h. Suppose -18 = -3*a - 3. Suppose -a*f + 28 = -3*f. Calculate the least common multiple of f and h.
42
Find the common denominator of 35/4 and 2/((-4)/(60/25)).
20
Let b(k) = 4*k - 6. Let c(y) = 5 + y**2 - 7 - 8 - 6*y. Let x be c(8). What is the smallest common multiple of b(x) and 20?
180
Suppose -3*u - 15 = 0, 17 - 5 = 4*k - 4*u. What is the common denominator of k and -9/10?
10
Suppose -t + 5 = -k, 0 = -2*t - 2*t + 5*k + 21. Suppose 0*w = -w + t. Calculate the smallest common multiple of 2 and w.
4
Let k = -3181807/139 - -22891. Let p = k - 7857/8062. Calculate the common denominator of p and 89/14.
406
Find the common denominator of 65/9 and (-40)/10 + 46/7.
63
Let l(i) = -2*i**3 + 12*i**2 - 8*i - 6. Calculate the smallest common multiple of 100 and l(5).
100
Let u = 1/2782 - 68857/6955. Find the common denominator of 49/12 and u.
60
Suppose -g + 27 = -4*g. Let f = g - -18. Calculate the smallest common multiple of f and 4/(-3)*1*-6.
72
What is the common denominator of 4/(336/(-201)) - -1 and 9/4?
28
Suppose 4*w - w + 13 = p, 4*w - 6 = -2*p. Let m = 11 - p. Calculate the common denominator of 25/14 and (46/70)/(m/10).
14
Let o = 37 + -13. Let j = 28 - o. What is the least common multiple of 10 and j?
20
Let t be (2 + 1 + -1)*2. Suppose -44 = -t*y + 2*c - 0*c, 4*y - 44 = 4*c. Suppose 3 = 3*a + w - y, 2*w + 2 = 0. Calculate the least common multiple of 10 and a.
10
Suppose -2*z - 21 + 81 = -2*q, 4*q - 114 = -5*z. What is the least common multiple of z and 10?
130
What is the least common multiple of ((-3)/(-6))/((-4)/(-112)) and 22?
154
Let x(f) = -f**3 + 7*f**2 + 8*f + 2. Let o be x(8). Suppose o*l + 796 = 3*l. What is the common denominator of -87/2 and l/40 + (-4)/10?
2
Let s = 751988/79 + -9519. Let x = s + 7241/316. Find the common denominator of x and 0/(-1) - 198/20.
20
Let p = -371343/20 + 18562. Suppose 0*v - 228 = -4*v. Calculate the common denominator of (v/84)/(1/(-2)) and p.
140
Let f = -4/35 + 596/315. What is the common denominator of -127/12 and f?
36
Let p = -461/2 + 266. What is the common denominator of (1476/108)/(-1 + 0) and p?
6
Let s(g) = 273*g**2 - 5. Let a be s(4). Let n = 69849/16 - a. Find the common denominator of 124/(-32) + (4 - 2) and n.
16
Let u = 24 + -14. Suppose 0 = c - 2 - 7. What is the common denominator of (u/(-8))/((-12)/152) and c?
6
Suppose -a - 3*b = 1, -5*a - 36 = -2*b - 14. Let h = 124 - 123. What is the least common multiple of 18/(a/(-2)) - -1 and h?
10
What is the smallest common multiple of 2 - (3 - (5 + 1)) and 10?
10
What is the common denominator of -41 and 96*(4 - 329/82)?
41
What is the common denominator of -69/28 and -1 - -3*(-52)/28?
28
Suppose -2*z = -2*d - 10, -3*d + 4*d = -z + 15. Calculate the lowest common multiple of z and (-15 + -2)/(-1) - -1.
90
Suppose -k - 1 = 0, -7*i + 3*i = -5*k - 21. Let r(t) = t**3 - 2*t**2 + 3*t - 2. What is the lowest common multiple of r(2) and i?
4
Let a = 269/13 - 203607/9841. Let d = -9857/6056 + a. Let p = -173029/18 - -9621. Calculate the common denominator of p and d.
72
Let a be (-4)/6 - 1614/(-126). Let l = a - -200/21. Calculate the common denominator of 1*(-3)/(54/(-124)) and l.
9
Suppose 5*i - 21 = -126. Find the common denominator of (-2)/((-72)/i)*-38 and 125/6.
6
Suppose 45 = w + 4*w. What is the lowest common multiple of 1 and w?
9
Suppose -25 = 4*i - 81. Calculate the common denominator of -69/4 and (-108)/(-40)*i/(-6).
20
Let b be (-4)/10 - 180535/(-1400). Let j = b + -815/7. Find the common denominator of -57/22 and j.
88
Suppose s = -4*z + 3*s + 8, 0 = -5*z + 2*s + 12. Let o = -55 - -64. What is the least common multiple of o and z?
36
Let x be 3/(-5) + (-138)/(-30). Calculate the lowest common multiple of 4 and 49/x + (-1)/4.
12
Let j = 20987/3460 + -20/173. Calculate the common denominator of j and 73/4.
20
Let t = -25083/3952 - -17/494. What is the common denominator of t and -97/16?
16
Let i = -1031 + 5134/5. Calculate the common denominator of i and 97/40.
40
Suppose 0 = -3*v + 2*y - 6*y + 23, -2*y = -3*v + 29. Let o be -5 + 2*9/6. Let w(b) = b**3 + b**2 - 3*b - 1. What is the lowest common multiple of w(o) and v?
9
Find the common denominator of -97/14 and 15/6*(-38)/4.
28
Let g be 0 + 1 - 36495/(-110). Let x = g - 334. Find the common denominator of x and (-1)/18 + 3 + 0.
198
Let b = 1829 + -12757/7. Calculate the common denominator of b and 56/11.
77
Suppose -5*p = -356 - 7