130
Suppose 2*f - 1 = 3*f. Find the common denominator of 5/(f + (-10)/(-22)) and -71/10.
30
Suppose -4*m = 12, 6*o - 3*o - 6 = -m. What is the lowest common multiple of 11 and o?
33
Suppose 4*b = 8, -2*s = -3*s + 4*b - 4. Calculate the least common multiple of 8 and s.
8
Let x(a) = -a**3 - 7*a**2 + 8*a + 6. Let r = -30 + 15. Let t = 7 + r. What is the least common multiple of 14 and x(t)?
42
Let u(x) = 4*x**3 - 5*x**2. Calculate the smallest common multiple of 24 and u(2).
24
Let s = 14 - -2. Calculate the lowest common multiple of s and 2.
16
Let i(t) = -t**3 - 13*t**2 - 2*t - 10. Let q(m) = -7*m + 1. Let u be q(2). What is the lowest common multiple of i(u) and 12?
48
Let u = 49 - 33. Calculate the lowest common multiple of 12 and u.
48
Suppose -220 = 283*f - 288*f. What is the lowest common multiple of 16 and f?
176
Suppose 5 = -o + 5*m, -3*m = -5*m - 2. Let a(j) = j**3 + 9*j**2 - 10*j + 10. What is the smallest common multiple of a(o) and 22?
110
Calculate the common denominator of 2/(36/((-4)/1)) and 30.
9
Suppose -k = -4*g + 313, -4*k + 307 = 4*g + k. Suppose g = -0*q + q. Find the common denominator of (-4 - -2) + q/8 and 67/4.
4
Let o be 2/(-6) - (-10)/3. Suppose 0 = 2*j + o*j - 30. Let d(v) = -v**2 + 10*v - 4. What is the smallest common multiple of d(6) and j?
60
Let m be (-2)/(-6) + 15/9. Suppose 3*d - o - 23 = 0, 5*o = d - m*d + 13. What is the lowest common multiple of d and 11?
88
Let j = -103/5 + 1457/70. What is the common denominator of j and 7/16?
112
Suppose 4 = 2*b - 0. Let n(a) = 2*a + 4. What is the smallest common multiple of b and n(0)?
4
Let z = -1/7188 - -197677/50316. Calculate the common denominator of z and 99/14.
14
Let y = 7 - 9. Calculate the common denominator of (-125)/(-18) + 1 + y and 107/20.
180
Let x be (-4)/14 - 32/(-14). Suppose 0 = -x*o + 4 + 2. Suppose 0 = k + o*k - 28. Calculate the smallest common multiple of 4 and k.
28
Let d(q) = -q**2 - 7*q + 11. Suppose p + 14 + 5 = -3*r, r + 4*p - 12 = 0. What is the lowest common multiple of 6 and d(r)?
6
Suppose -3*d + 10 = 1. Let g be (0 + 9)/d + -2. Suppose -2*q + 17 = 2*v + 3, v = g. What is the smallest common multiple of q and 2?
6
Let i be 8/(-6) + (-5)/(-15). What is the least common multiple of i*(-3)/(-3)*-10 and 12?
60
Suppose -3*p - 301 = -4*y - 6*p, -223 = -3*y - 5*p. Suppose 276 = -5*x + y. Calculate the common denominator of (146/x)/(1 + 0) and 117/14.
140
Let u(p) = -p**2 + 4*p. Calculate the common denominator of (19 - 4)/(14/6) and u(3).
7
Let a be -3 - ((-23719)/(-26360) + 1). Let q = -1/5272 + a. Find the common denominator of 2/(-8) - 122/(-20) and q.
20
Let d = 5 + -3. Let o(i) = i - 3*i**3 + i**d - 1 + i + 2. What is the least common multiple of o(-1) and 1?
3
Let b = 35 + -23. Let o = 7 - 2. Let x = 1 + o. What is the lowest common multiple of x and b?
12
Let c = -36457/14 + 2606. Calculate the common denominator of 26/(-6)*(-9)/(-12) and c.
28
Let l = 26695 - 1067867/40. Let p = 374/37 + -5305/814. Calculate the common denominator of l and p.
440
Let w(b) = 14*b**2 - b + 1. Suppose 2*i - 6 = -2. Calculate the lowest common multiple of (-12)/(i/(-3) + 0) and w(1).
126
Let l = -5149/8 + 641. What is the common denominator of -91/10 and l?
40
Let r = 1 - -5. Calculate the least common multiple of -8*(28/(-16) - -1) and r.
6
Let b = -7 - -9. Suppose -12 = -b*c - c. Calculate the lowest common multiple of 8 and c.
8
Let k be 30/(-5932)*20/25. Let p = k + 37207/32626. Calculate the common denominator of 101/4 and p.
44
Let w(a) = a**3 + 8*a**2 - 12*a - 16. What is the least common multiple of 5 and w(-9)?
55
Suppose -6*d = -0*d + 468. Let b = -56 - d. Calculate the smallest common multiple of b and 22.
22
Let o(s) = 4*s**2 - 1 - 6*s**2 - s**3 + 3. Let l be o(-3). Suppose -3 = 2*n - l. Calculate the least common multiple of n and 8.
8
Let w = 641859/28 - 22920. Calculate the common denominator of 53/16 and w.
112
Let m(y) = y**2 + 7*y + 4. Let p be m(-6). Calculate the lowest common multiple of 0 + (0 + -1)*-2 and (1 - -10) + 0 + p.
18
Let c(h) = -h**2 - 9*h - 5. Let n be c(-6). Suppose -l + 2*u - u + n = 0, 4*l - 34 = -2*u. Calculate the least common multiple of 16 and l.
80
Suppose o - 5*u - 617 = -3*o, -2*o - 2*u = -286. What is the common denominator of 1/2*o/16 and 32/7?
56
Suppose 4*n = n - 5*q + 14, 4*n - 3*q = 9. Let h = n - 1. Suppose -p + h*p + 16 = -4*r, 0 = -2*r - 10. What is the smallest common multiple of p and 16?
16
Let x be 2/3*(-31)/(-5). Let v = -1480/3 + 489. Let k = v + x. Calculate the common denominator of 0 and k.
5
Let w = -4 + 5. Let t = 5753/8 - 717. Calculate the common denominator of w/(-4) + 62/72 and t.
72
Suppose -2*r = 13899 - 65201. Let q = 615475/24 - r. What is the common denominator of -149/6 and q?
24
Let d = 1733/77 - 176/7. Calculate the common denominator of -62/9 and d.
99
Let d be -23*(-2 + 3 - 0). Let s = d - -27. What is the least common multiple of s and 16?
16
Let x be ((-6835)/(-25))/(6/10). Let m = x - 461. Calculate the common denominator of m and -2 - (-2 - (-30)/(-4)).
6
Let a = 27 + -18. What is the common denominator of a/(-42)*100/3 and 45/2?
14
Let h = 47/4 + -1. Let r be 7/(-2)*(-434)/(-4). Let p = r + 386. Calculate the common denominator of p and h.
4
Let y = -371037/31180 + -1/6236. What is the common denominator of y and -37/34?
170
Let l = 2690 - 13406/5. Let b be 978/(0 + 63/(-12)). Let o = 184 + b. Calculate the common denominator of o and l.
35
Calculate the smallest common multiple of 24 and (0 - (-6)/15) + 136/10.
168
Let x(s) = -s**2 + 11*s - 16. What is the least common multiple of x(8) and 10?
40
Let n be (1 + -1)*(-1)/(-2). Let x = 10 - n. What is the least common multiple of 3 and x?
30
Let s = -996226/234475 + 480/113. Let a = -2147629/4150 - s. Let t = -527 - a. Calculate the common denominator of t and -13/12.
12
Let q = 889 + -15961/18. Find the common denominator of 25/134 and q.
1206
Find the common denominator of (-1)/9*-5*16/6 and 23/33.
297
Let r(w) = w**2 - 2*w - 3. Let a = -24 + 35. What is the lowest common multiple of r(4) and a?
55
Let k = 122 + -19. Calculate the least common multiple of k and 8.
824
Find the common denominator of 6 - 3 - (-230)/(-32) and (-1 + (-15)/(-18))*149.
48
Let y = 39393925/204 - 193107. Find the common denominator of y and -77/20.
1020
Suppose 3*u = 11 + 7. Calculate the smallest common multiple of 9 and u.
18
Suppose -4*f + 1 - 6 = 3*m, -2*f + 1 = 5*m. Suppose -20 = 5*t, 0 = 4*a + 3*t - 10 - 18. Calculate the smallest common multiple of (8/(-10))/(f/15) and a.
30
Calculate the lowest common multiple of (6/(-15))/(1/(-20)) and 22.
88
Let h(g) = g**2 + g. Let q(i) = i**3 + 13*i**2 + 13*i + 14. Let p be q(-12). Let s = p - -2. What is the smallest common multiple of 16 and h(s)?
80
Let k(p) = -p**3 - p**2 + 7. Let i(s) = -s - 8. Let a be i(-8). Calculate the smallest common multiple of 1 and k(a).
7
Let y = -135/4 - -34. What is the common denominator of y and 81/2?
4
Let h be 3 + 1/(-1) + 1. Calculate the common denominator of (h + -4)/((-5)/(-59)) and -37/5.
5
Let v = -41 - -45. What is the smallest common multiple of v and 8?
8
Let b = -13523/12 + 1126. Find the common denominator of b and (6/9)/(12/7).
36
Calculate the common denominator of -53/27 and (-8)/(-42) - 6/21.
189
Let o = -106451/2 + 51726. Let q = 1537 + o. Let h = q + -26. Find the common denominator of h and 53/2.
2
Let x be 1 - (-302759)/(-18) - 0. Let k = -16813 - x. Find the common denominator of -1/14 and k.
126
Let v(a) = -60*a - 1. Let p be v(-6). Let f be (-299)/p + (-1)/(-1). Let z = -36619/2154 + f. What is the common denominator of z and -63/16?
48
Calculate the common denominator of 1/4 and (-1)/2*(-125)/(-20).
8
Let i = 398 + -394. Calculate the smallest common multiple of (4/5)/((-2)/(-65)) and i.
52
Let x be (20439/(-2784))/(46/(-40)). Let j = x - 6/667. Calculate the common denominator of -22 and j.
8
Suppose 0 = 2*y - 1 + 5. Let g = y - -6. Suppose -2*a + g*j + 0*j = 0, -5*j + 10 = 0. Calculate the least common multiple of a and 6.
12
Let h = 7165 - 100423/14. Find the common denominator of 1 + 19/(-20) - -2 and h.
140
Let j = 58 - 24. Calculate the lowest common multiple of j and 10.
170
Suppose -2*c = 3*k - 328, -k - 551 = -6*k + c. Suppose k =