Suppose 0 = 9*q - 12*q + 3*l + 9, 0 = -2*q - 3*l + 6. Suppose -2*b + 17 = -5*z, 2*z = q*b + 7*z - 63. What is the lowest common multiple of 20 and b?
80
Let p = 14238048 + -11105680441/780. Let m = -51/52 - p. Find the common denominator of m and 49/50.
150
Let n(q) = 80*q - 6. Calculate the smallest common multiple of n(2) and 56.
616
Let v = 3/7 - 19/77. Suppose -6*k + 2*k - 272 = 4*i, i + 360 = -5*k. Let d = 479/7 + k. What is the common denominator of d and v?
77
Suppose -3 = -z - 1. Suppose 18*v - 90 = 1314. What is the least common multiple of z and v?
78
Suppose -3*t + 5*x = -0*t + 645, -432 = 2*t - 4*x. Calculate the common denominator of ((-77)/t)/((-4)/(-130)) and ((-14)/(-15))/(32/(-312)).
60
Suppose 19 = 4*z + o, 3*o + 1 = -4*z + 26. Suppose d = -2*j + 2, -z*d + 93 = -5*j + 20. What is the lowest common multiple of 8 and d?
24
Suppose -5*y - 5*t = 115, 5*y + 5*t - 109 = 8*y. Let l = y - -24. Calculate the least common multiple of 7 and (l - -1) + 14 + 0.
77
Let u be 10/(-405)*2535/(-580). Let d = 75/58 - u. What is the common denominator of 61/33 and d?
297
Let j = 332 + -307. Calculate the lowest common multiple of 20 and j.
100
Let v be (-1228)/(-315) - ((-24)/(-20))/6. Let d = 88/21 + v. Find the common denominator of -10/9 and d.
9
Let u(l) = 2*l**2 + 11*l - 4. Let m = 16 - 8. Suppose m*s = 4*s + 232. What is the least common multiple of s and u(-6)?
58
Let l(s) = -3*s**2 - s + 1. Let i be l(-4). Let c = i + 50. Calculate the smallest common multiple of c and -1 + 11 - 1/1.
63
Suppose s = 0, -i + s + 22 = 6*s. Let y = 3 + -1. Suppose y*b + 2*b - 64 = -4*x, 3*x + 22 = 2*b. What is the least common multiple of i and b?
154
Let i be (5/(-20) - 210/(-8))/(-2). Calculate the common denominator of -21/2 and (-3 - 206/(-66))*(-2 + i).
22
Calculate the lowest common multiple of 52 and 36 + (-9 - -17) + (-24)/(-3).
52
Find the common denominator of 1*1/3 - (-118)/276 and 1 - (1 + 33/(-36))*-154.
138
Let c = -2407919/60 + 40133. What is the common denominator of 53/54 and c?
540
Suppose 0 = 2*c - 19 + 5. What is the smallest common multiple of c and 4?
28
Let k(o) = -o - 1. Let v be k(-1). Let l(s) = s**2 - s + 5. Let u be l(v). Let y = u - -2. What is the least common multiple of 10 and y?
70
Let u = 130785775/1038 + -125998. Find the common denominator of -14/11 and u.
11418
Let p = 268 + -246. Calculate the smallest common multiple of 264 and p.
264
Let l(n) = 2*n**2 + 32*n + 96. What is the smallest common multiple of l(-14) and 50?
200
Suppose -m - 3*a - 3 - 3 = 0, -10 = -m + a. Suppose -m*j = -j - 20. Let p(n) = 2*n + 2. Calculate the least common multiple of p(j) and 2.
10
Let h = 43 + -37. Suppose 0 = h*z - 6 - 18. What is the smallest common multiple of 6 and z?
12
Let j(n) = -n**2 + 12*n - 9. Let h be j(11). Suppose -4*b - 55 = -5*d, 0 = -h*b + 5*d - 13 - 2. Let t = -96/5 - b. What is the common denominator of t and 36?
5
Let c = -3893/7320 + -3/305. Suppose 53 = j + 6. Let q = j - 47. Calculate the common denominator of c and q.
24
Suppose 3*k + 58 + 59 = 0. Let r be 0 + k + 1/(-1). What is the common denominator of 137/6 and 4/20 + 958/r?
12
Let j = -745 - -841. What is the smallest common multiple of j and 48?
96
Suppose 5*n - 64 = -i, 0*i + 21 = 2*n + 5*i. Let p = n - 25. Find the common denominator of p/16*177/(-18) and -64/9.
72
Suppose 52*n - 60*n + 112 = 0. Calculate the least common multiple of n and 16.
112
Let g = -13 + 9. Let x(d) = d + 3. Calculate the smallest common multiple of (g - -5)*10/1 and x(0).
30
Let d = 145 + -218. Let i = 28603/6 + -4755. Find the common denominator of i and (220/(-56) - -4)*(1 + d).
42
Calculate the common denominator of 4 + (-8679)/1512 - (-14)/98 and 316/(-48) - (-1)/(-4).
72
Let r = 8/1067 + 50005/19206. Find the common denominator of 43/12 and r.
36
Let z be (14/4)/(-7)*-86. Let q = 10 + 6. Calculate the smallest common multiple of z/3 - 10/30 and q.
112
Suppose 3*s = j - 12, j + 2*s - 111 = -4*j. Suppose -k + j = -1. Let r(b) = -3*b**3 - b**2 - 2. What is the lowest common multiple of k and r(-2)?
198
Suppose -4*z - 3*c = 6, 6*c + 4 = z + 4*c. Suppose -10 = -b - z*b. Suppose -a + 0*a = -b. What is the lowest common multiple of a and 4?
20
Let r = 693241943/20 + -34652999. Let s = 9101 - r. Find the common denominator of 37/16 and s.
80
Suppose -589 = -5*n - 2*f, 4*f - 487 + 23 = -4*n. What is the smallest common multiple of n and 35?
595
Let x = 985/14 + -500/7. Calculate the common denominator of x and 3/16.
112
Suppose -3*n = 5*r - 20, -r + 0 = 3*n - 4. Find the common denominator of 278/(-8)*(-2)/(-18) and ((-1449)/735)/(r/(-10)).
252
Suppose 5*u - 86 = 19. Suppose 0 = -3*v + 12, 4*i + 5*v + u - 89 = 0. Let o = 61 - 41. What is the least common multiple of i and o?
60
Suppose 0 = -4*k + 3*c + 105, -15*c + 85 = 2*k - 10*c. Calculate the smallest common multiple of 45 and k.
90
Suppose 3*j = 9*j. Suppose j = 3*g - 3*t - 9, -5*g + 2*t = 4 - 25. Calculate the lowest common multiple of 15 and g.
15
Calculate the common denominator of (-789)/30 - ((-64)/(-20) - 3) and -109/438.
438
Let f be (-18)/(-81) - 32/(-18). What is the smallest common multiple of 1 and 6/2 + (f - 3 - -2)?
4
Suppose 8*c + 1064 = 15*c. What is the smallest common multiple of c and 120?
2280
Let b = -3 + 7. Suppose o = 3*y - 11, -16 = -8*o + b*o. Suppose -3*w + 2*t = 4, 5*t - 33 = -3*w - 2. What is the smallest common multiple of y and w?
10
Let w = 4760/3 + -19111/12. Let q = -1168 + 2510. Let h = 8015/6 - q. Find the common denominator of h and w.
12
Suppose k = 5*g - 33, 0 = 2*g + 5*k - 4 + 7. What is the lowest common multiple of -3 + (-16)/(-5) + 39/5 and g?
24
Suppose -2*p + 20 = 3*j, -2*p - 12 = -9*j + 4*j. Calculate the smallest common multiple of j and 36.
36
Let t(d) = d**2 + 5*d + 8. Let a(o) = -o**3 + 8*o**2 - 5*o + 6. Let z(m) = m**2 + m - 23. Let h be z(5). What is the lowest common multiple of a(h) and t(-7)?
220
Let f(b) = b**3 + 18*b**2 - 19*b + 24. What is the least common multiple of 18 and f(-19)?
72
Let g = 302171/84 + -3597. What is the common denominator of 31/24 and g?
168
Suppose 11*p = -15*p + 416. What is the lowest common multiple of 2756 and p?
11024
Suppose 8 = 3*t - 10. Calculate the least common multiple of 58 and t.
174
Let h = 36/185 + -421/148. Find the common denominator of h and 62/55.
220
Suppose 4*s - 4*h = 4, 4*h + 3 = -s - 11. Let n(q) = 25*q**2 + 2. What is the least common multiple of 14 and n(s)?
714
Suppose 0 = 529*m - 532*m + 1014. What is the lowest common multiple of 2 and m?
338
Let z = -38889348/5 + 700993139/90. Let r be (-3)/12 - (-6 + 43771/4). Let t = r + z. Calculate the common denominator of -7/8 and t.
72
Suppose -6 = 3*d - 2*w, 11 - 2 = d + 3*w. Suppose 3*b - 7 + 4 = d. Calculate the lowest common multiple of (-23 + b)*(-3)/6 and 9.
99
Suppose -r - 1 = -5. Suppose -z + r = z. Let w = -23 + 24. Calculate the lowest common multiple of z and w.
2
Let a(p) = -p**3 + 10*p**2 - 2*p + 27. Let c be ((-5)/(-4))/(3/(-12)). What is the common denominator of a(10) and (c/(-4))/(4/(-136))?
2
Suppose 3*f + 14 = -0*f + 2*m, 5*m + 15 = -5*f. Let g be (-37315)/(-20) - (-1)/f. Let r = g + -1820. Find the common denominator of r and 3/14.
14
Suppose 0 = 4*n + 7 + 5. What is the common denominator of 6/21 + (-438)/14 and -2 - n/(-27)*44?
9
Suppose -4*x - 35 = -5*g, 4*g - 4*x = g + 29. Let p(y) = -8*y**2 + 17*y - 13*y**2 - 4 - 17*y**2 + 36*y**2. What is the lowest common multiple of g and p(8)?
12
Suppose 2*q = x + 4*q - 13, -4*x - 5*q = -49. Let f = -13 - -18. Suppose -f*u + 4*h + 11 = 3*h, -u + x = 2*h. Calculate the smallest common multiple of u and 6.
6
Let s = -3 + -3. Let z(v) = 2*v**2 + 2*v + 1. What is the smallest common multiple of z(-2) and ((-84)/(-14))/(s/(-8))?
40
Let w = 3798 + -34144/9. Calculate the common denominator of 29/3 and w.
9
Let k be 1 + 2/((-5)/30*3). Suppose 0 = 4*r + 4*l + 15 + 29, 4*l - 36 = 4*r. Find the common denominator of k/r - 9/(-15) and -59/6.
30
Let j(u) = -10*u**3 - 3*u**2 - 13*u - 31. Calculate the lowest common multiple of j(-3) and 7.
1757
Suppose -5*j - 35 = -4*p, -5 = -p - 2*j + 7*j. Calculate the common denominator of ((-31)/25)/((-4)/p) and 62/9.
90
Let h = -469/117 + -160/39. Calculate the common denominator of -51/74 and h