Calculate the common denominator of -4 + l/15 - 291/(-10) and -23/27.
54
Suppose -5*q + u - 142 = -788, -2*u = -5*q + 642. Let d be q/39 - 2/(-3). Calculate the lowest common multiple of (21 - 1)*2/d and 10.
10
Let q be 45/(-6)*24/(-10). Let r = q + -13. Suppose -4*h = r + 35. What is the common denominator of -1/9 and h?
9
Suppose 0 = 4*w - b + 199 - 14, -5*b - 15 = 0. Let f = w - -29. Calculate the common denominator of (-73)/f*(-6 + 5) and 45/2.
18
Let q = 1569/2 - 6237/8. Let n = q - -13/8. Find the common denominator of n and (-89)/6 - (-1 + (2 - 1)).
6
Let o(q) = -q**2 - 7*q + 10. Let w be o(-7). Suppose -5*l - 24 - w = -3*p, 0 = 5*p - 3*l - 46. What is the least common multiple of p and 7?
56
Suppose 0 = 2*r - 6, 5*n + 216 - 69 = -r. Let u = -4 - n. What is the least common multiple of u and 4?
52
Suppose 33*c + 1248 = 85*c. Calculate the least common multiple of 140 and c.
840
Let z = -194894/53553229 + -2/49267. Let o = z + 61975/4348. Find the common denominator of o and -11/7.
28
Suppose -17*q = -28*q + 726. Let p(y) = -y**2 + 9*y. What is the lowest common multiple of p(8) and q?
264
Suppose 0 = -5*o - 2 + 17. Suppose 3*a + 1 = -4*c, o*a - c = -2*c + 11. What is the lowest common multiple of a and 3?
15
Suppose 2*d - 3 = 1. Suppose 2*q + o = 4*o + 10, o = d. Suppose u - 2*c = 10, -q*u + 50 = -3*u + c. Calculate the lowest common multiple of 22 and u.
110
Find the common denominator of (-4)/(-44) - -491*8/30360 and -11/12.
1380
What is the common denominator of (-3)/3*3 + (-77)/264 and 50/3?
24
Let z = -464143/30 + 15468. Calculate the common denominator of z and 113/360.
360
Suppose -12 = 2*u - 152. Let g = -124 + u. What is the lowest common multiple of 2 and g/(-4) - (-3)/(-2)?
12
Let m(z) = z**3 + 6*z**2 - 11*z - 6. Let h(y) = y - 27. Let l be h(19). What is the smallest common multiple of (-1 + (-4)/l)*-24 and m(-7)?
132
Let j(p) = -p**3 + 6*p**2 + 9*p - 7. Let f be j(7). Suppose -3*z - f*z = -170. What is the smallest common multiple of 10 and z?
170
Suppose 20 = -4*f + 4*t, -3*t = -2*f - 0*f - 13. Let m be f + (-2 - 102/(-3)). Calculate the least common multiple of ((-5)/m)/((-1)/6) and 6.
6
Let m(v) = -23*v + 223. Calculate the lowest common multiple of m(9) and 72.
144
Let u be 2*10/(-12)*(-21)/7. Suppose 43 = u*o - 57. Calculate the lowest common multiple of 8 and o.
40
Let t(l) = -42*l**3 + 4*l**2 + 5*l + 6. Let d be t(5). Let f = -81931/16 - d. Find the common denominator of f and 9/112.
112
Suppose -5*z = -6*z + 14. What is the common denominator of 78/(-21)*z/(-3) and -21/10?
30
Let c = -116 - -264. Suppose -2*y - j + c = -7*y, -2*y - j = 62. Calculate the common denominator of (y/4)/(18/8) and 46/7.
21
Suppose 0*q + 2*q + 968 = 0. Suppose 3*t - 4*a = -38, t + 5*a = -0*t + 19. Find the common denominator of -47/14 and (99/q)/(1/t).
154
Suppose -7 = -9*s + 8*s. Let t(b) = 3*b - 4. Let u(k) = 4*k - 4. Let o(i) = 6*t(i) - 4*u(i). Calculate the lowest common multiple of o(s) and 8.
24
Let o = 90 - 53. Let z = o - 28. Suppose -j = j - 22. Calculate the least common multiple of j and z.
99
Calculate the lowest common multiple of 576 and ((-8)/32)/((-1)/56 - 0).
4032
Calculate the common denominator of (-1)/27*(-3435)/20 - 3 and 113/18.
36
Let u = 204 - 121. What is the common denominator of -3 - 4/16*u and -1/3?
12
Let w be 3/(-2) - 84/(-8). Let x(s) = 3*s + 37. Calculate the least common multiple of (4 + -2 + 0)*w and x(-11).
36
Let q be -4 + (-85)/(-25) - 46/(-10). Suppose -26 = -q*z - 18. Calculate the least common multiple of 18 and z.
18
Let h = 1753497/1555 - 78/311. Let a = 1132 - h. Calculate the common denominator of 20 and a.
5
Let o = -392 + 9409/24. What is the common denominator of o and -65/12?
24
Let m = 41/1895 + 24337/66325. Find the common denominator of m and -75/28.
700
Let p = 264/7 - 559/28. What is the common denominator of -55/188 and p?
188
Let r = 4/88099 + -148515/1330647296. Let c = r - -657029/75520. Calculate the common denominator of c and -17/10.
10
Suppose j - 5*j + 12 = 0. Suppose 5*y + 0*y + 48 = 3*n, j*n = y. Let d = y + -3. Find the common denominator of 35/3 and d.
3
Let y be 0 + -2 + 15/(105/(-182)). Let p = 33 + y. Calculate the lowest common multiple of 6 and p.
30
Let q(g) = g**3 - 15*g**2 + 2*g - 1. Let r be q(15). Suppose 2*d - 1 - r = 0. Calculate the smallest common multiple of 10 and d.
30
Suppose -3*n = 4 + 8. Let s(u) = -2*u - 6. Let j be s(n). Suppose 0 = -3*z - 12, 2*q = -j*q - z + 40. What is the least common multiple of 10 and q?
110
Let p be 2681/35 - (-1 + 8/5). Suppose -p = 2*a - 6*a. Calculate the smallest common multiple of a and 11.
209
Let a = 730 - 546. Calculate the lowest common multiple of a and 253.
2024
Let j be (-82)/(-7) - (-6)/21. Suppose 0 = -5*s, 7*s - 2*s - j = -4*g. Calculate the lowest common multiple of 3 and g.
3
Let s(o) = -12*o - 3. Let l be s(9). Let r = l - -162. Suppose 5*m = -3*q + r, 0*m + 4*m - 12 = 0. What is the least common multiple of 6 and q?
12
Let d = -720079/74 + 9731. Calculate the common denominator of d and -75/22.
814
Let v(o) = 6*o**3 - 3*o**2 + 4*o - 1. Calculate the least common multiple of v(1) and 598.
1794
Suppose -3*w + 5*g - 21 = 0, 2*g = -3*g - 15. Let l be (30/w)/((-2)/12). Suppose -o = -l + 3. Calculate the smallest common multiple of o and 10.
60
Suppose -3*g = 5*k - 16, 5*g = 4*k + 9 - 44. What is the smallest common multiple of 80 and k?
80
Let t = -115/14 - -58/7. Find the common denominator of 103/14 and t.
14
Let d(u) = 14*u**2 - 135*u - 28. Calculate the lowest common multiple of 58 and d(10).
638
Let m(s) = -2*s**2 + 10*s + 9. Let i be m(4). Let k = 29 - i. Calculate the lowest common multiple of 15 and k.
60
Let i be (2 - (-8)/(-5))*10. Let a = 469 - 465. Suppose -g + 4*m = -34, 9*m = -i*g + a*m + 73. What is the least common multiple of g and 8?
88
Let d(t) = -23*t - 1. Suppose -v - a - 3 = -0, -4*v = 3*a + 10. Calculate the least common multiple of 2/(-9) - 220/(-18) and d(v).
132
Let s(j) = -j**3 - 16*j**2 + 44*j + 732. Let v(d) = -d**3 - 4*d**2 - 3. What is the lowest common multiple of s(-16) and v(-5)?
308
Suppose 0 = -3*z + 1 + 29. Let p = 63 + -13. Suppose 2*g - 3*g = -2*f + 24, -2*g = 3*f - p. What is the lowest common multiple of z and f?
70
Let k = 1 - -9. Calculate the lowest common multiple of k and (-19 - -2)/(24/(-48)).
170
Calculate the common denominator of (0 - 8) + (-3542)/(-437) and -56/11.
209
Let c = -9234 - -304688/33. What is the common denominator of 107/24 and c?
264
Let l = 21561/2450 + -540/49. Calculate the common denominator of l and 5 + -1 + (-115)/10.
50
Suppose -t = 11*t. Find the common denominator of 103/30 and ((-61)/45 - (t + 2)) + 2.
90
Let r be 259181/(-12324)*1/2. Let u = r - 26/237. Find the common denominator of u and -77/6.
24
Let a = -62089697/12559 + -801/661. Let z = -4943 - a. Let q = 1831/5 - 749/2. Find the common denominator of z and q.
190
Let k = -5 - -12. Let n(y) = y**2 - 11*y + 2. Let h = -3 - -15. Calculate the smallest common multiple of k and n(h).
14
Let u = 27 - -18. Calculate the least common multiple of 12 and u.
180
Suppose 7 = -4*u - 1. Let l = u + 25. What is the smallest common multiple of (l/2 + -4)*2 and 11?
165
Let c = 11572 - 2263. Let w be c/(-4383)*129/12. Let s = 3/1948 - w. Calculate the common denominator of s and -33/8.
24
Let l(g) = 7*g**2 - 5*g - 4. Let y be l(3). Suppose -128 = -7*o - y. What is the least common multiple of o and 12?
12
Let b(c) = -10*c - 10. Let y(k) = 7*k**2 - 6*k - 5. Calculate the smallest common multiple of y(7) and b(-3).
1480
Suppose -5*q = -6*q - 2*w - 1, 2*q - 3*w - 5 = 0. What is the smallest common multiple of 63 and q?
63
Suppose -72 = k + 2*k. Let v = 32 + k. Calculate the smallest common multiple of v and 20.
40
Let m = 588648665962 - 123033457673602447/209010. Let a = -3/34835 - m. What is the common denominator of -69/2 and a?
30
Let k = 840394/91 + -9235. Calculate the common denominator of k and -107/28.
364
Find the common denominator of (134/(-8))/(57 + -53) and -27/22.
176
Let x(l) = -l - 7. Let a be x(-6). What is the common denominator of a/(-3) - (-71)/(-24) and (150/(-45))/5*246/16?
8
Let t = -26 - -36. Let l = -9 + t. Suppose 3*g - 5 - 19 = 0. What is the lowest common multiple of l and