7/11 + -184004/517. Let s = i - -4/141. What is the common denominator of s and -85/8?
24
What is the least common multiple of 6 and 1 + -1 + 5 + 0?
30
Let b(l) = 2*l - 2. Let t be b(2). Suppose 18 + 50 = -t*q. What is the common denominator of q and 122/112 + 2/7?
8
Suppose 5*x = a + 38, -4*x = -4*a - a - 22. Let i = 28 + -14. Calculate the lowest common multiple of x and i.
56
Let i = 762/5 + -1819/10. Let h(d) = d - 2. Let r be h(-8). Calculate the common denominator of i and (84/385)/((-4)/r).
22
Let r = -15 - -22. What is the lowest common multiple of 6/(-9)*(-18)/4 and r?
21
What is the common denominator of ((-1524)/(-1350))/(8/6) and 91/20?
300
Let z(q) = -q + 1. Suppose 0 = -g - k + 3*k - 4, 0 = g - 4*k + 10. Let j be z(g). Find the common denominator of j/(-5) - 366/80 and -22/9.
72
Let o be ((-68)/6)/(24/(-23292)). Let v = o + -241887/22. Find the common denominator of -11/16 and v.
176
Let t = 9186 + -5777996/629. Let y = -74072444 - -232957850228/3145. Let j = t + y. Find the common denominator of j and 17/5.
5
Find the common denominator of (6/(-35))/((-12)/165) and (-2)/(-12) - 500/180.
126
Let z = -1 - -5. Suppose -3*g + x = -3, -3*x + z = 2*g + 2*g. Let d(s) = s**3 - 7*s**2 + 9*s - 7. What is the lowest common multiple of g and d(6)?
11
Suppose -w = 11 + 19. Let t = 112 + w. Find the common denominator of 87/16 and (t/40 - 2)*43.
80
Suppose -5*s - 187 = -37. Let i be 156833/s + (-6)/(-9). Let l = -5220 - i. What is the common denominator of l and 45/2?
10
Let l = 5170 - 31145/6. Let y be (53800/708)/(-2*2). Let f = 49/59 + y. Find the common denominator of f and l.
6
Let u = -37025/2196 - -71/183. Let l = u + 103/12. What is the common denominator of l and (-6)/21 - 190/(-28)?
18
Let r = 4 + 0. Suppose 4*u = -u + 4*m + 8, -r*m = -2*u + 8. Suppose 0 = -j - 0*j - 5*d + 11, -j - 4*d + 9 = u. What is the lowest common multiple of 6 and j?
6
Let k = 13495 + -296839/22. What is the common denominator of k and 103/18?
198
Let l(t) = -t**2 - 8*t + 11. Calculate the lowest common multiple of l(-9) and 7.
14
Let l be 6805/(-390) + (-6)/2. Let v = l + -31/13. Find the common denominator of (-77 + 0)/(1*4) and v.
12
Let h(i) = -i**3 - 7*i**2 - 7*i - 4. Let s(b) = 2 + 0*b - 2*b**3 - 2*b + 4*b. What is the least common multiple of s(-2) and h(-6)?
14
What is the common denominator of ((-3)/12)/((-2)/316) and (20/12)/(-8 + 2)?
18
Let w be 170/168 + 2/(-8). Let n = w - -25/7. Calculate the common denominator of n and (-4)/10*7*1.
15
Let m = 1123/8 + -141. Let c = 1/2 - -7/12. Find the common denominator of m and c.
24
Suppose 3*m - 4*m - 7 = -f, 0 = 3*m - 2*f + 23. Let d = m + 12. Calculate the least common multiple of 9 and d.
9
Let d(r) = -10*r + 2. Calculate the least common multiple of 15 and d(-1).
60
Let h(t) = -t**2 + 10*t - 4. What is the lowest common multiple of h(8) and 9?
36
Suppose 0 = 2*b + 11*b - 1404. What is the lowest common multiple of b and 9?
108
Calculate the common denominator of 12/10*9/6 and -18/7.
35
Let p = 1461/58 + 7/116. What is the common denominator of p and (-1)/5*885/(-6)?
4
What is the lowest common multiple of 11 and -15 + 14 - (-1 + 2 + -19)?
187
Let i = -15/2 + 57/5. Suppose -110 = -2*n + v, -4*n - v + 108 + 118 = 0. Calculate the common denominator of (1 - -10)*n/(-140) and i.
10
Find the common denominator of -7/30 and 3 + (13/(-33) - 3).
330
Let l = 272523 - 1958691. Let x = 26958325/16 + l. Let c = x + 1275. What is the common denominator of 73/18 and c?
144
What is the lowest common multiple of 10 and (-4)/2 - (11 + -15)?
10
What is the common denominator of (-1435)/294 - (-2)/3 and 53/22?
154
Let p be -3*(7 + -2 + -3). Let u = 8 + p. Calculate the smallest common multiple of u and 8.
8
Let t = -1676 - -5101/3. Suppose 0 = 4*u - 3*u + 414. What is the common denominator of t and u/40*6/(-9)?
30
Calculate the common denominator of (-6)/(0 + (-9)/12) and -79/8.
8
Let u be (-34088)/(-11) + (-3)/2. Let v = u - 3098. Find the common denominator of v and 91/4.
44
Let v(y) = y**3 - 12*y**2 + 11*y + 10. What is the lowest common multiple of v(11) and 520/78*(-6)/(-5)?
40
Let s be (5 - (4 + -1)) + 3832652. Let i = -53680475/14 + s. Let k = -1669 - i. Find the common denominator of k and -75/16.
112
Let m(q) = q**3 + 4*q**2 - 5*q + 6. Let k be m(-5). Suppose -4*j - 17 = -5*i + 14, -29 = -4*i - j. Calculate the least common multiple of (-1 + i)/(3/k) and 16.
48
Let l(w) = w**3 + 7*w**2 + 10. Let g be 8/12*(-42)/4. What is the lowest common multiple of 8 and l(g)?
40
Let x(d) = d - 2*d**3 + 3*d**3 + 38*d**3. Let g be x(1). Calculate the common denominator of 158/g - 6/(-24) and -8/7.
35
Let j = 24 + -23. What is the smallest common multiple of j and 2/4 + 1/2?
1
Let h(y) = 2133*y**3 - y**2 - y + 1. Let u be h(1). Suppose -3*s + 5134 = -u. Let d = -33879/14 + s. Calculate the common denominator of 111/10 and d.
70
Let g(f) = f**3 + 7*f**2 + 5*f - 11. What is the least common multiple of (-5)/15*(-7 + 1) and g(-5)?
14
Let r be 3/6*1182*-1. Let k = -1207/2 - r. Calculate the common denominator of k and -23/10.
10
Suppose k - 3*n - 3 = 0, 3*n + 0 = -3. Suppose -3*x + x + 36 = k. Suppose 0*p + 32 = 2*p. Calculate the smallest common multiple of p and x.
144
Let s = 965/14 + -570/7. Let u(k) = 9*k + 1. What is the common denominator of s and u(-2)?
2
Let k(d) = -d**3 + 7 - 4 - 5*d**2 + 0*d**3. Calculate the lowest common multiple of 1 and k(-5).
3
Suppose -2*t - 14 - 4 = 0. What is the least common multiple of 2/t + (-56)/(-9) and 11?
66
Let t = 178439/257004 - -1/7139. What is the common denominator of -73/76 and t?
684
Let y be 12*(10/(-6) - -2). Suppose v + y*v = 35. Suppose -33 = -5*o + v. Calculate the least common multiple of 6 and o.
24
Suppose 0*u = -2*h + u - 14, 3*u + 3 = h. Suppose 70 = 5*a - 20. Let v = h + a. Calculate the smallest common multiple of 10 and v.
90
Suppose 8 - 47 = -3*c. Calculate the smallest common multiple of 3 and c.
39
Let j(c) = -c**3 + c**2 + 3. Let g be j(0). Suppose -4*f - 8 = g*l, -l - 11 = l - 3*f. Find the common denominator of -99/2 and 302/40 + l/16.
10
Suppose -9 + 44 = 5*x. Let o = x + -1. Calculate the smallest common multiple of o and 2.
6
Calculate the common denominator of 157/30 and 2 + 16/(-9) + (-292)/(-180).
90
Let h = 270587/26 - 10411. What is the common denominator of -56/5 and h?
130
Let c(x) = 19*x - 23. What is the lowest common multiple of 48 and c(2)?
240
Let t = 49327/20 - 2471. Calculate the common denominator of t and (-424)/60*(-6)/(-8).
20
Suppose 4*r - 319 + 778 = 3*a, -a = -2*r - 231. Let w = 1 - -2. Calculate the smallest common multiple of (-1)/4 + r/(-52) and w.
6
Let q = -11 - -21. Calculate the lowest common multiple of q and 66.
330
Let b = 8375/4037 + 6/367. Find the common denominator of 55/3 and b.
33
Let m(a) = -a + 2. Suppose 4*z - 4*p - 11 - 1 = 0, 1 = 3*z + 5*p. Suppose -b - 3*n + 21 = 2*b, 4*n - 4 = z*b. What is the lowest common multiple of m(-2) and b?
4
Let b = -8 + 7. What is the common denominator of -40 and -6*(b + (-34)/(-6))?
1
Let z = -3071/10 + 308. Find the common denominator of (122/(-8))/((-5)/(-4)) and z.
10
Let i = 22 - 41/2. What is the common denominator of i and -39/16?
16
Suppose 2*t + 3*t + 600 = 0. What is the common denominator of -61/12 and (4/14)/(t/2135)?
12
Let j = 15 + -8. Calculate the least common multiple of 4 and j.
28
Suppose u + 199 = -b, -u = 2*b + 385 + 17. Let o = 899/4 + b. Calculate the common denominator of -24 and o.
4
Let l be 12/4 - (-3)/(-1). Suppose 5*q + 168 + 32 = l. Calculate the common denominator of 113/10 and (-4)/(-10) + 421/q.
40
Let p = 1 - -1. Suppose -3*v + 5 = p. Suppose -u = 2*u - 18. What is the least common multiple of v and u?
6
Let c(j) = -j**2 + 8*j + 1. Let z be c(8). Find the common denominator of (260/32)/(2/z) and -57/4.
16
What is the smallest common multiple of (0 - -3) + (-13)/(-1) and 12?
48
Let h = 90191/4872 - 445/24. Let s = -4/17481991 + -19422479009/56781506768. Let l = h - s. What is the common denominator of -39/2 and l?
16
Let b(c) = 2*c**2 - c - 3. What is the smallest common multiple of b(-3) and 8?
72
Suppose 3*k - 6 = 9. Let z(w) = -w**3 + 4*w**2 + 5*w + 4. Calculate the smallest common multiple of 8 and z(k).
8
Let c = -43 + 47. Calculate the smallest 