ose -5*j - 420 = 105. Let i = j + 43. Calculate the common denominator of 97/22 and i/40 + 2/8.
110
Suppose -7*f + 8*f = 50. Let l = f - 30. Calculate the least common multiple of 18 and l.
180
Let m = -1515/2 - -13753/18. Let n = 78 + -43. What is the common denominator of m and (-139)/n + 12/30?
63
Let t = 934331/4858 + 10/347. Let q = t + -191. Find the common denominator of 87/32 and q.
224
Suppose -4*p + p - 3 = 0, -4*p = 4*j + 84. Calculate the common denominator of 1*(-1 - (-106)/j) and 4/(-22)*(-47)/2.
110
Let m = -9 - -13. Suppose -3*n + 14 + 40 = 0. Suppose -2*z = -z - n. What is the smallest common multiple of z and m?
36
Calculate the common denominator of (-4)/(-5)*2*468/64 and -42/11.
110
Suppose w - 4*b - 12 = 0, b - 30 = -w - 4*b. What is the lowest common multiple of w and 22?
220
Let r = -5/178 - -5187/890. Find the common denominator of -101/10 and r.
10
Let n = -55549/14 + 3974. Let l(d) = d**2 + 5*d + 4. Let t be l(-3). Find the common denominator of (-15)/t*(-114)/(-36) and n.
28
Let q = 2 - 5. What is the lowest common multiple of 3/q - (-22)/2 and (-68)/(-5) - (30/25)/(-3)?
70
Let z(w) = 2*w**2 + 3*w + 3. Suppose -t = 3 - 6. Suppose t*r = -2*r + 70. Calculate the smallest common multiple of z(-2) and r.
70
Calculate the least common multiple of (-3*(-4)/(-30))/((-3)/15) and 16.
16
Let k(b) be the first derivative of -2*b**2 - 2*b - 2. Let z be k(5). What is the smallest common multiple of 22 and 3/(2 + 41/z)?
22
What is the common denominator of 2/6 + 1688/48 and 123/20?
20
Let a = -5 + 5. Suppose 2*z - 1 = z, -5*j + z + 49 = a. Calculate the least common multiple of 10 and j.
10
Let a = 18 - 35. Suppose -3*u = -3*d - 6, 36 + 0 = 4*u + 3*d. What is the least common multiple of u and a/(-2) + (-1)/(-2)?
18
Let q = 7199/363 - 20/121. What is the common denominator of q and -50/27?
27
Let g = -9 - -9. Suppose g*v + v - 49 = 4*b, -5*b = 2*v - 137. Suppose -3*z - 1 = -v. Calculate the smallest common multiple of z and 8.
40
Let w(p) = -2 + 1 + p + 3. Let k be w(-2). Let v = k + 6. Calculate the least common multiple of 2 and v.
6
Let u = 9 + -4. Suppose -2*n = -u*n + 117. What is the common denominator of n and -121/6?
6
Suppose 3*n - n + 2*m - 12 = 0, -5*n - 2*m + 36 = 0. Suppose -1 = i - n. Let v(t) = 2*t**2 - 5*t + 4. Calculate the smallest common multiple of i and v(3).
7
Let f = 6 - 1. Suppose 3*m = -5*d + 13, f*m - 52 = 5*d + 23. Suppose 5*u = -1 + m. Calculate the least common multiple of u and 6.
6
Calculate the least common multiple of (63/28)/((2 + -4)/(-8)) and 24.
72
Let q = 4 - 2. Calculate the smallest common multiple of q/4 + (-15)/(-6) and 6.
6
Suppose -4*k - 51 = 41. Let f(o) = o**3 - 5*o**2 + 3*o + 1. Let a be f(4). What is the common denominator of k and (-129)/3 - (1 + a)?
1
What is the common denominator of 11/10 and 63/8*32/40?
10
Suppose -3*m + 23 = t, 3*t - 4*m - 60 = -t. Find the common denominator of (-6 + 1)/((-8)/(-26)) and t*((-8)/6 + 0).
12
Calculate the common denominator of 9/10 and (-92)/(-80) + -4 + 2.
20
Let x(i) = 9*i**3 - 2*i**2 - i + 2. Calculate the smallest common multiple of x(1) and 1.
8
Let v = 91 - 61. Calculate the least common multiple of v and 14.
210
Suppose 4*v = 3*v + 126. Calculate the least common multiple of v and 14.
126
Suppose -5*a = -4*a - 10. Calculate the least common multiple of a and 7.
70
Let v be (-86520095)/(-780) + (-2)/(-4). Let l = v - 110931. Let n = l - -2/39. Calculate the common denominator of n and -9/7.
28
Let k = -2231/6 - -375. What is the common denominator of 2*1 + 62/(-10) and k?
30
Let p = -74 + 106. Suppose -2*y - p = -4*y. Calculate the lowest common multiple of 8 and y.
16
Let c = -10/373 - 28481/8952. What is the common denominator of 8/9 and c?
72
Let q = -536089115/657 - -815965. Let x = 65251/14454 - q. What is the common denominator of x and 35/12?
132
Suppose -8 = -3*v - v, 5*j - 4*v = 82. What is the least common multiple of (-2 + 4/(-2))/(-1) and j?
36
Suppose -3*i = 2*v + 2*i - 11, -i + 23 = 3*v. Suppose 2*c + 2 - 26 = 0. Suppose 4*m - 2*p = 2*p + 20, 4*p = -c. Calculate the lowest common multiple of v and m.
8
Suppose 13 = 4*n - 7. Calculate the smallest common multiple of 4 and n.
20
Find the common denominator of (122/(-9))/(10/15) and -41/52.
156
Find the common denominator of (-5)/5*-1*76/(-50) and -50.
25
Let o = 90/89 - -1145/1068. Calculate the common denominator of -59/5 and o.
60
Suppose 2*p = -2*g + 16, 5*g = 3*p - 14 + 54. Suppose 5*b - 6 = -2*f + 3*b, -g = -4*b. What is the common denominator of 3 + ((-130)/(-6) - f) and 37/7?
21
Suppose 4*a - 4 = -0*a. Suppose -4*h + 15 = -9*h. Calculate the smallest common multiple of h/(-6 - -3) - -10 and a.
11
Suppose -3*f = -3*z - 105, -z - 4*f - 29 = f. Let l be 2/(-3) + 2/(-6). Calculate the common denominator of l/(-1) - z/(-3) and -13/10.
30
Let m = -5/276 - 3941/828. Find the common denominator of m and 2/((-12)/37) - 0.
18
Let j = -8 - -12. What is the least common multiple of j and 9?
36
Calculate the smallest common multiple of 6 and 1/(8/6 - 1).
6
Let y = 1180/3 - 19117/48. Let k be (3853/(-20))/(2/(-8)). Let g = 53477/70 - k. What is the common denominator of y and g?
112
Let i = -1421/10 - -543/5. Calculate the common denominator of i and -13/8.
8
Let r be (-9)/(-12)*(-28 - 0). Let g = r - -14. Let f = g - -17. Calculate the least common multiple of 4 and f.
20
Let f be (5/(-10))/((-2)/620). Suppose -3*v - 4*r + 65 = -29, 5*r - f = -5*v. Let k = v + -19. Calculate the least common multiple of 5 and k.
55
Suppose 17 + 713 = 5*n. Suppose 5*d + 3*q - n = 0, -4*q + 8 = -0*q. Calculate the smallest common multiple of 22 and d.
308
Let a(f) = f + 5. Let i be a(-4). Let t = 11/8 - 29/8. Calculate the common denominator of t and (-34)/(-8)*i/2.
8
What is the common denominator of 5/50*-43*-1 and -15/8?
40
Suppose -2*r + 90 = r. Suppose -3*o = 2*c - r, 3*c - o = 3*o + 28. What is the smallest common multiple of (1 - 1/2)*c and 12?
12
Let j be (183 + 0)*(-78)/18. Let g = j + 9613/12. What is the common denominator of -76/3 and g?
12
Let r be (2/(-36))/((-7)/1421). Let g = 34/9 - r. Calculate the common denominator of 77/12 and g.
12
Let a = 349/94 - 5837/705. Find the common denominator of a and 37/21.
210
Let r(v) = -v**3 - 8*v**2 - 9*v - 10. Let h be r(-7). Suppose -h*l = -10 - 78. Suppose -3*d = -4*d + 2. What is the lowest common multiple of d and l?
22
Suppose -4*k + 0*k = -44. Calculate the least common multiple of k and 5.
55
Suppose 0*a - 10 = 5*a, -2*a = -5*k + 34. Suppose s - 5*s = 3*b + 7, -5*b + 5*s = -35. Let i(y) = -y + 5. What is the smallest common multiple of k and i(b)?
6
Let h = -8348 + 83557/10. Let a = -247380749 - -405951788048/1641. Let l = a + 1/1094. Calculate the common denominator of h and l.
30
Let b = -3323 + 26633/8. Let h be (-510)/35*70/8. Let p = 122 + h. Calculate the common denominator of p and b.
8
Let o = -12 - -20. Suppose j + 0 - 2 = 0. Suppose -7 = j*c - 21. What is the smallest common multiple of o and c?
56
Let f(u) be the first derivative of 0*u**2 + 7/4*u**4 - 1/3*u**3 - 1 + 0*u. What is the smallest common multiple of 6 and f(1)?
6
Let r(s) be the first derivative of 3*s**2/2 - 7*s + 3. What is the smallest common multiple of 8 and r(5)?
8
Let o(q) = -q**3 + 5*q**2 - 2*q. Suppose -3*k = -5*c + 12, 5*c = 2*k - k + 14. Calculate the smallest common multiple of o(2) and c.
24
Suppose a + 18 = 2*o, -2*o - a = -o - 15. Calculate the least common multiple of (-2)/(-4)*(-1 + 17) and o.
88
Let i be 37/2*(1 + 1). Suppose -r = 3*s - s - i, r = -5*s + 85. Calculate the least common multiple of 18 and s.
144
Let x be (7 - 5) + 1230/7. Let n = -178 + x. Find the common denominator of n and 29/14.
14
Let i = 17 + -12. Let j = 3 + i. What is the lowest common multiple of j and 24?
24
Let t(k) = k**3 - 12*k**2 + 6*k + 1. Let u be t(11). Let q = -123 + 199. Let o = q + u. Calculate the lowest common multiple of 20 and o.
220
Suppose -4*u - 20 = u. Let r = -4 - u. Suppose 2*f - 4*d - 12 = 0, -5*f + 2*d - 16 + 62 = r. Calculate the least common multiple of f and 14.
70
Let i = 35 - 60. Calculate the common denominator of -68/3 and i.
3
Let i = -9 - -23. What is the smallest common multiple of i and 118?
826
Let t = 2/193 + 1729/772. Let s = 36 + 39. Cal