413/501824. Calculate the common denominator of b and 39/8.
64
Suppose -4*o = 2*s + 45 - 191, 4*o - s = 137. Suppose -4*g + 0*k - 5*k + 15 = 0, -k - o = -3*g. What is the least common multiple of g and 110/8 + 1/4?
70
Calculate the smallest common multiple of 45/(-20)*((-336)/(-18))/(-7) and 6.
6
Let b = 42323 - 4824889/114. Calculate the common denominator of 89/15 and b.
570
Calculate the lowest common multiple of (-2 - 4)*9*1/(-2) and 4.
108
Suppose q = -3*t + 5*t + 70, 3*t - 228 = -3*q. Find the common denominator of -145/18 and (1 - q)*(5 + 408/(-81)).
54
What is the common denominator of -63/220 and -7 - ((-271791)/1584)/23?
880
Let d(b) be the first derivative of b**3/3 - 3*b**2/2 - 4*b + 1. Let l be d(4). Calculate the smallest common multiple of 2 and (-16 - -4)/(-2 - l).
6
Let o be 0 + -98*(-2)/4. Suppose -4*d + 113 = -5*h, -d - o = -3*d + 5*h. Let v(c) = 4*c + 10. Calculate the lowest common multiple of d and v(2).
288
Suppose 5*v - 5*y = 45, y - 13 = 2*v - 34. Let h = -1441/10 - -144. What is the common denominator of (15/10)/(v/(-85)) and h?
40
Suppose 0*z + 5*z = 5*y + 85, -4*y = 3*z - 30. What is the lowest common multiple of z and 50/(-125) - 82/(-5)?
112
Suppose 173 = -3*a + 197. Calculate the lowest common multiple of a and 120.
120
Calculate the smallest common multiple of 6 + (-36)/(-6) + 3 and 90.
90
Let a(z) = -z + 4. Let b be (2 - (-2 + 0))/(-2). Calculate the least common multiple of 7 and a(b).
42
Suppose -77*a + 85*a - 16 = 0. Let b(i) = -i**3 - 15*i**2 - 15*i + 7. Calculate the smallest common multiple of a and b(-14).
42
Let w(u) = u**3 - u**2 - u - 21. Let r be w(0). Calculate the common denominator of 4/3 + r/8 and 113/6.
24
Suppose 0 = -4*b + 520 - 40. Let g = -90 + b. Calculate the lowest common multiple of g and 3.
30
Suppose 0 = 4*t - 3*r + 64, -2*t + 72 = -6*t + 5*r. Find the common denominator of t and -91/6.
6
Let z(a) = 2*a + 2. Suppose 36 = 7*r - 3*r. Let g(n) = -n + 27. Calculate the lowest common multiple of z(4) and g(r).
90
Let f(u) = 72*u**3 + 4*u**2 + 7*u - 6. Let t be f(4). Let a be t/(-10) + (-4)/(-10). Calculate the common denominator of -59/5 and a/12*4/(-14).
30
Let c = -17730748/1509 + 11750. Let a = -16559/30180 - c. Find the common denominator of a and ((-6)/(-4))/(21/(-65)).
140
Let k(c) = -4*c + 23 + 11 + 5*c - 5*c. Suppose -5*d + 2*d + 110 = 2*h, 0 = -2*d - 4*h + 68. What is the lowest common multiple of k(6) and d?
190
Let o = 220 - 216. What is the lowest common multiple of o and 6?
12
Let x be 3 - (-584)/12*(-261)/12. Let v = x + 1086. Calculate the common denominator of 73/194 and v.
194
Let f = -2/36097 - 2129663/1082910. Find the common denominator of f and 5/((-140)/(-574)) - 12.
30
Let h be (-15)/(-2) + (-10)/20. Calculate the smallest common multiple of 5/(-35) + 155/h and 4/10 - 272/(-20).
154
Let v = 79307/57 + -1391. Calculate the common denominator of v and -107/76.
228
Suppose -4*y + 20 = 48. Let j(b) = -b**3 - 6*b**2 - 4*b + 5. Let o be j(-5). Calculate the least common multiple of 2 and 1 - o - (-20 - y).
14
Suppose 0 = 17*r - 23*r + 576. Let l = r + -145. Find the common denominator of l and -31/20.
20
Suppose 53 = 18*a - 1. Suppose 4*j - 30 = 4*b + 22, j - a*b = 21. What is the lowest common multiple of 21 and j?
63
Let u(m) = 9*m**2 + 1 - 3*m + 2*m + 1 + 0*m - m**3. Let x be u(9). What is the smallest common multiple of 4 and 14/x - (-18)/2?
28
Let j(z) = -z**2 + 2*z - 2. Suppose 0 = 3*t + a, -8 = 5*t - 4*t + 3*a. Let u be j(t). What is the common denominator of -23/16 and -53*((-13)/(-12) + u)?
48
Let d(o) be the second derivative of o**5/10 + o**3/6 - o**2 + 2*o. Let c be d(2). Suppose -4*g + c = -0*g. What is the smallest common multiple of 10 and g?
20
Let z = -311 + 521. Calculate the least common multiple of z and 4.
420
Let o = 25 + -35. Let n(u) = 2*u + 2. Let v be n(o). Let q = -12 - v. Calculate the lowest common multiple of q and 6.
6
Let z be 1/(-4) - (-93)/508. Let g = z - 11531/2286. What is the common denominator of ((-24)/20)/3 + (-7)/45 and g?
9
Let p = 5249/5360 + -14/335. Calculate the common denominator of -41/16 and p.
16
Suppose -3*z + 135 = -5*k, -3*k = z + 69 - 2. What is the common denominator of (-4)/k*(-2 + (-753)/(-12)) and -25/18?
72
Let o = 2561 + -2526. What is the smallest common multiple of o and 140?
140
Suppose 4*b - 3*t - 81 = 0, 7*b - 4*t - 59 = 4*b. What is the smallest common multiple of b and (-5 + 133/14)/((-6)/(-40))?
210
Let x(k) = 339*k**2 - 3*k + 4. Let q be x(-3). Let j = -27535/9 + q. What is the common denominator of j and -73/8?
72
Suppose 4*u = -8*u + 240. What is the smallest common multiple of u and 20?
20
Suppose m = 3*m - 3*w - 18, 5*w - 10 = 0. Suppose 17*p - 16*p = m. What is the smallest common multiple of 8 and p?
24
Let b = -31 - -35. Let r = -3 + b. Calculate the common denominator of 47/3 and (2/r)/(22/(-231)).
3
Suppose -5*p - 15 = -75. Let x be 28/13 - (0 - 2/(-13)). Suppose 4*n + w = x*w + 13, 0 = -5*w - 25. What is the least common multiple of p and n?
12
Calculate the smallest common multiple of (-280)/24*(-12)/14 and 22.
110
Let s be (-5 + -15606)/((-12)/(-3)). Let b = -3879 - s. Calculate the common denominator of 22/3 and b.
12
Suppose -3*h = 3*h + 10*h. Find the common denominator of -1*(h + 1) + 110/45 and (-3)/(-8)*248/2.
18
Let o be (-36)/(-45)*210/4. Suppose -z + o = 2*z. Find the common denominator of 47/23 and (-4)/z + 2994/336.
184
Let d = 9 - 5. Let g be 5576/85 - 2/(-5). Suppose 3*w - z = g, 2*z = w - 2*w + 22. Calculate the lowest common multiple of d and w.
44
Suppose -3*b + 2 = 2*g - 4, 3*b - 27 = 5*g. Calculate the smallest common multiple of 87 and b.
348
Let z = 17547520/10106293629 + -2/796461. Let c = -112640165/50756 - z. Let m = c - -2205. Calculate the common denominator of m and 0.
4
Suppose 6*s = 89 + 79. Let o = -8 + 8. Suppose 5*j - 2*n - 41 - 9 = o, -4*n = -20. Calculate the lowest common multiple of j and s.
84
Let c = 54925583/140 - 5317195/14. Let i = 12532 - c. Find the common denominator of (((-665)/20)/7)/(5 + 0) and i.
20
Let p = -9586403/6 + 1589575. Let k = -8179 - p. What is the common denominator of (-58)/32 - (23 + -23) and k?
48
Let b(u) = 17*u + 1. Suppose 0 = -3*c + 5*t + 21, 3 + 9 = 3*c - 2*t. Calculate the lowest common multiple of b(1) and c.
18
Suppose -6 = -9*g + 48. Calculate the least common multiple of g and 156.
156
Let k(y) = -y**2 - 26. Let f be k(-5). Let g = 65 + f. Calculate the lowest common multiple of g and 16.
112
Let t(b) = b**3 + b + 18. Let n be 2/8 + 13/(-52). What is the lowest common multiple of t(n) and 64?
576
Let d be -7*((-1413)/21 + -3). Suppose 0 = -2*i + 6*i + d. Let g = i - -78. Calculate the common denominator of -109/10 and g.
10
Suppose 3*a = 5*t + 7, 13 = 27*a - 23*a - 3*t. What is the lowest common multiple of 74 and a?
148
Suppose -3*c = 2*s + 43, -2*c + 2*s - 48 = 2*c. Calculate the least common multiple of (-3)/(-9) - (-20)/3 and (-2)/c - 89/(-13).
7
Let o = -3763/2 + 212613/113. Let a = 16879/1356 - o. Let s = 1/251 - -4011/1255. Find the common denominator of a and s.
60
Let d(i) = -i**3 - 19*i**2 + 18*i - 28. Suppose -2 = 5*w - 12, 2*w - 44 = 2*j. What is the least common multiple of d(j) and 4?
12
Suppose -52 = -125*i + 112*i. What is the smallest common multiple of i and 140?
140
Let z = -1791/4 + 457. Let o be 1 + 3/((-18)/(-13753)) + -2. Let i = o - 2305. Calculate the common denominator of z and i.
12
Let z(a) = a + 3. Let c(j) = 0*j - 3 + j**2 - 8*j - 2 + 3. What is the least common multiple of c(9) and z(7)?
70
Suppose -4 = -41*q + 39*q. Let n(f) = 2*f + 10. Let u be ((-9)/(-3) - 3)*1. What is the least common multiple of n(u) and q?
10
Let c = -47 - -35. Let l be (-9)/(c/(-4))*-32. Let i = l + -40. Calculate the smallest common multiple of i and 22.
616
Let k = 22685/2544 + -1/2544. Find the common denominator of k and 13/142.
852
Suppose -a - b + 6*b - 58 = 0, -a = 2*b + 23. Let u = a + 51. Calculate the lowest common multiple of u and 31/(31/6) + 2.
72
Let h = -82 - -88. What is the lowest common multiple of 3 and h*4/132 + (-458)/(-22)?
21
Suppose 2*y + 2*y = 0. Let n(s) be the first derivative of s**4/4 + s**3/3 + s**2 + 10*s - 140. What is the smallest common multiple of n(y) and 18?
90
Suppose 0*y + 4