 = -6*o + 4. Let i be p(3). Let w = -9 - i. What is the common denominator of ((-33)/(-10))/((-6)/w) and 57/2?
4
Let p = 10 + -8. Suppose -3*r + 42 = m, p*r - m - 18 = 10. What is the lowest common multiple of r and 8?
56
Let b = -6001 + 59931/10. Suppose 8*m - 6*m = -66. Calculate the common denominator of b and m.
10
Let p(f) = f + 4. Let q be p(-2). Suppose -1 = n, -q*n = 4*o - 5*o + 23. Calculate the smallest common multiple of o and 2.
42
Let h = 1831 + -18291/10. Find the common denominator of h and 406/(-63) + 6/2.
90
Let p(j) = -4*j**2 - 5*j + 14. Let q(b) = -4*b**2 - 4*b + 14. Let f(t) = -5*p(t) + 6*q(t). What is the smallest common multiple of f(0) and 38?
266
Suppose -q - 16 = -5*y - 3*q, -3*y = -2*q. Suppose y*n + 2*n = 20. Suppose 0 = -4*v - 12, -2*v - 15 - 3 = -4*b. What is the least common multiple of n and b?
15
Suppose 32*o - 37*o + 780 = 0. What is the smallest common multiple of o and 16?
624
Suppose -5*m - 4 = 4*j - 37, -4*m - 5*j = -30. Calculate the least common multiple of 234 and m.
1170
Suppose -27*z = -379 - 377. What is the lowest common multiple of z and 7?
28
Suppose -a + 56 = 3*a. Suppose 5*w + 5*o = -30, o = 3*w - 0*o + 6. Calculate the lowest common multiple of (-1 + 0)*-4*w/(-6) and a.
14
Let y(a) = a**2 + 4*a + 4. Let i be (2 + 2)/2*3. Suppose -10 = -4*h + i. Calculate the lowest common multiple of h and y(-6).
16
Suppose 0 = -4*j + 286 + 10. What is the common denominator of -61/4 and (j/(-16) - 2)/((-63)/28)?
36
Suppose -4*p = -0*b + 4*b + 20, -5*p - 25 = 0. Calculate the common denominator of 31/5 and (-473)/(-22) - (b - -1).
10
Find the common denominator of (-9 - (-69770)/8120) + (-2)/(-4) and 7/22.
8932
Suppose 0 = -4*p + 4 - 32. Let j = 21 + p. Suppose 6 = 2*l - 2. Calculate the least common multiple of l and j.
28
Suppose 0 = -3*m + 2*m + 3*l + 990, -2*m + 1976 = -2*l. Let r = m - 4886/5. Let n = -53/19 + 1473/133. Calculate the common denominator of r and n.
35
Suppose 6*g + 3*g - 324 = 0. Suppose 39*o = g*o + 42. Calculate the smallest common multiple of o and 2/(-5) - 276/(-15).
126
Let q(h) = -2*h - 4. Let z be q(6). Calculate the least common multiple of 56/10 + z/(-40) and -1*24/18 + 106/3.
102
Suppose -15 + 16 = w. Let r = 8 - 6. Calculate the smallest common multiple of r and 8/w - (1 - 3 - -2).
8
What is the common denominator of 161/30 and 4/8*(-13)/6*2?
30
Suppose 0*q + 5*q = -76775. Let s be 2 + -4 + q/(-2618). Let x = -3/374 + s. Calculate the common denominator of x and -43/12.
84
Suppose -4*r = -4*s + 36, 0 = 2*s - 9*r + 8*r - 17. Let z be 54/15 + (-2)/(-5). Suppose 0*c + z*c = 88. What is the smallest common multiple of s and c?
88
Calculate the common denominator of 89/126 and ((-413)/56 - -7)*(-122)/(-6).
504
Calculate the common denominator of (-37*(-4)/(-16))/(21/6) and 1/18.
126
Find the common denominator of -83/72 and 3/((-432)/1082) - -6.
72
Let q be (-9)/12 + (35/(-4))/(-5). Suppose -o + 16 - q = 0. What is the lowest common multiple of 42 and o?
210
Suppose 5*q + 0*q - 3*l - 76 = 0, 79 = 5*q - 2*l. Let g = 21 - q. Calculate the least common multiple of (-2 - g)*(-33)/18 and 7.
77
Let u be -4 + (-114)/(-27) + 68/18. Let j = -3 - -5. Suppose k - 1 = 0, -9 - 3 = -j*x - u*k. What is the smallest common multiple of x and 9?
36
Suppose 0 = -3*z + 4*z. Suppose -u = -4*m - z*m + 48, -m - 2*u = -12. What is the smallest common multiple of m and 4?
12
Let o(n) = n**3 + 16*n**2 - 17*n + 2. What is the least common multiple of o(-17) and 6?
6
Let f = -27 + 21. Let c(j) = 5*j + 9. Let q be c(f). Calculate the least common multiple of 5 and (-216)/q - (-4)/(-14).
10
Suppose 19*h + 864 = 16*h. What is the lowest common multiple of -1 + h/(-20) + 3/5 and 64?
448
Let d = -985/136 - -2/17. Find the common denominator of d and -53/6.
24
Let q = -4 - -8. What is the least common multiple of 10 and 21/(-14)*q/(-2)?
30
Suppose -623*r + 598*r = -50. Calculate the least common multiple of 147 and r.
294
Let f be 135/(-21) + (-6)/(-14). Let v = 13 - f. Let u = 27 - v. Calculate the lowest common multiple of 7 and u.
56
Let d = 1281440/91 + -14082. What is the common denominator of d and -103/56?
728
Let z = -73125/14 + 5227. What is the common denominator of z and -73/94?
658
Let y = -3702871/88 + 42077. Calculate the common denominator of 31/198 and y.
792
Suppose -2*k = -4*v + 10, 4*v - 3*v + 5*k - 8 = 0. Suppose -8 = -v*p + 19. What is the smallest common multiple of 33 and p?
99
Let i = 808/251 + 3344135/2008. Let f = i + -1674. Find the common denominator of 40*(11 - 4527/405) and f.
72
Let s = -12192 - -219383/18. Let k = 1/11 - 21/110. Find the common denominator of k and s.
90
Let a(k) = -k**3 + 11*k**2 - 14*k - 18. Calculate the smallest common multiple of 22 and a(8).
682
Let k = 69 - 39. Suppose -k = -2*v + 5*u, 2*v + 0*u - 22 = u. What is the least common multiple of v and 56?
280
Suppose -5*f - 2 + 12 = 0. Suppose -2*j - g - 32 - 63 = 0, -37 = j - 3*g. Let c = -43 - j. What is the least common multiple of f and c?
6
Suppose 20 = 4*d - 24. Suppose -3*n + 41 = w, -154 = -4*w - w + 2*n. Suppose -18 + w = t. Calculate the least common multiple of d and t.
154
Suppose 19*h = 27*h - 72. Suppose -5*j = -25 + 5. Calculate the smallest common multiple of h and j.
36
Let z = 2441 - 2396. Calculate the lowest common multiple of 27 and z.
135
Let t = -236 + 623. Calculate the lowest common multiple of 12 and t.
1548
Calculate the common denominator of (-8)/2 - (-790)/240 and 3 + ((-138)/(-9) - 3).
24
Suppose 18*v = -7 + 151. Calculate the least common multiple of v and 36.
72
Let t = 2295/2 + -1191. Let p be (3 - 6/(-8))*-44. What is the common denominator of 16/3 + 22/p and t?
10
Let a(y) = -y**3 + 10*y**2 - 4*y - 25. Suppose 3*k = 17 + 49. What is the smallest common multiple of k and a(9)?
220
Suppose 4*x + 4 = -0*x. Calculate the least common multiple of 8 and ((-14)/6 + x)*-3.
40
Let b = -15362/2271 + 41014303/317940. Let m = -483/4 + b. Let f = m - 1/5. What is the common denominator of f and -77/6?
42
Let r = 46217/10 + -4627. What is the common denominator of r and 46/163?
1630
Let m(y) = 2*y**2 + 2*y - 24. Calculate the lowest common multiple of 6 and m(10).
588
Let v(c) = c**2 + 8*c - 7. Let w be v(-5). Let n = 31 + w. Suppose 0 = -5*i - 15, 3*j + j + 5*i = n. What is the smallest common multiple of j and 10?
30
Suppose -o = -0*o - 19. Suppose o = -5*l + 4. Calculate the common denominator of -55/14 and 519/72*-2 - l.
84
Let w = -66893/15288 - -1/1911. Let t(g) = -g**3 - 9*g**2 + 8*g + 8. Let q be t(-10). Calculate the common denominator of w and 525/q - (0 - 0).
8
Let m = 17 + -9. Suppose 0 = -3*v + m*v - 50. What is the least common multiple of 12 and v?
60
What is the common denominator of (-10)/60*(-1)/((-8)/(-556)) and -3/32?
96
Find the common denominator of 17/553 and ((-8)/((-112)/(-127)))/3.
3318
Suppose -3*j = 0, j + 3*j + 1 = -t. Let x be 1 + -19 - (t + 0). Calculate the common denominator of 33/10 and 2/x + 1524/(-1496).
110
Let u = 1792 + -9019/5. Let n = 1994 + -17927/9. What is the common denominator of n and u?
45
Suppose -39*i + 54*i = 180. What is the smallest common multiple of 11 and i?
132
Suppose 4*o - 4 - 4 = 0. Suppose -o*s = -5*s + 12. What is the lowest common multiple of s and 6?
12
Suppose -l + 77 = 5*k, -5*k - 4*l + 85 = l. Let b = -52 + 51. Calculate the smallest common multiple of k/9 - b/3 and 6.
6
Let l be 3*(64/12 - 4). Suppose -h - l*o + 42 = 4*h, -5*h + 5*o = -15. What is the smallest common multiple of h and 6?
6
Find the common denominator of -2/77 and 3177/(-504) + -3 + 8.
616
Let r(b) = -b**3 + b**2 - 6*b + 8. Let m be r(5). Find the common denominator of -2 + -1 + m/(-6) and 82/15.
15
Let m be 8/24 - (-16)/6. Suppose -m*u - u + 56 = 0. Let s = u + -10. What is the lowest common multiple of 20 and s?
20
Suppose -5*b = -47 - 273. Calculate the lowest common multiple of 30 and 190/4*(b/20 - 2).
570
Suppose n = -n + 4. Let k(i) = -2*i + 4 + 9*i - 5 + n*i**2 + 8. What is the lowest common multiple of 20 and k(-5)?
220
Let w = -5431 - -374747/69. Find the common denominator of -20/207 and w.
207
Suppose -52*f + 50*f + 316 = 0. What is the least common multiple of 6 and f?
474
Suppose 0 = -5*c + 7 + 3. Suppose -3*u + 81 = -c*a, 0 = -u - 2*u - 4*a + 63.