0
Let f be (2/(-2))/(4/(-8)). Suppose -4*g + 4 = 0, -g - 1 = -f*x - 0*g. Find the common denominator of (-14)/(-60)*(x + 2) and 25/22.
110
Let a = -33127/6 + 5499. Calculate the common denominator of -107/22 and a.
66
Calculate the common denominator of (-17)/9 - (-8)/16 and 67/6.
18
Let v(q) = q**2 + 6*q - 1. Let f be v(-7). What is the common denominator of -13/4 and (-25)/f*36/(-48)?
8
Let f = 62 + -60. Calculate the least common multiple of 2 and f.
2
Suppose -v + 26 - 5 = 0. Suppose -2*t = -r - v, t + 8 = -r + 20. Calculate the least common multiple of 2 and t.
22
Let p(n) = -5*n**3 - 6*n**2 - n - 2. Let u(v) = -4*v**3 - 5*v**2 - v - 2. Let s(q) = -2*p(q) + 3*u(q). Calculate the lowest common multiple of s(-2) and 2.
4
Suppose 4*r + 13 - 37 = 0. Calculate the least common multiple of 3 and r.
6
Let p = 23463 + -11185. Suppose 4*r = n - 0*r - p, 2*n - 4*r = 24560. Let g = n + -221135/18. What is the common denominator of g and 41/4?
36
Suppose -4*q + 7*q = 0. Suppose 3*m - 6 = q, 5*m = -j + 5*j - 30. What is the smallest common multiple of 4 and j?
20
Let g(v) = -v**3 - 4*v**2 + 2*v + 2. Let w be g(-5). Let l be (2 - 1)/((-1)/(-42)). What is the common denominator of (w/l + 2)*-3 and -7/10?
70
Let x = -5 + 8. Calculate the smallest common multiple of 5 and x.
15
Let l = 43 - 23. Let f be (-1 - -1)*(-1)/2. What is the lowest common multiple of l and 13 + 2 + -1 + f?
140
Let h(o) = -o**3 + 2*o**2 - o - 3. What is the lowest common multiple of 15 and h(-2)?
15
Let n = 27 - 17. What is the smallest common multiple of n and 6?
30
Let j = 223179/5650 + -2/2825. What is the common denominator of -45/7 and j?
14
Let x be (-82357)/264 + (-2)/(-1). Let w = x + 2289/8. Calculate the common denominator of (119/6 - 2) + -2 and w.
6
What is the common denominator of 1/(-3)*((-2 - 24) + 3) and 51/13?
39
What is the common denominator of (-9)/(-54) - 211/(-66) and 34/3?
33
What is the common denominator of (-20)/(-64)*(-147)/(-15) and 125/12?
48
Suppose -2*u + u + 4 = 0. Suppose 1 = -u*o - 3. Calculate the lowest common multiple of 10 and (-4)/(o/(3/2)).
30
Let m = 2695 + -32321/12. Find the common denominator of m and 9/16.
48
Suppose 0 = g - 4*k - 31, -3*g + 60 = 2*g - k. Suppose -2*v - g = -3*v. What is the least common multiple of v and (-5 - -5) + 14*(-3)/(-6)?
77
Let y = 13937/114 - 743/6. Calculate the common denominator of -73/3 and y.
57
Suppose 0 = -3*n + 466 - 169. Suppose -d + 0 = n. Let a = d - -55. Find the common denominator of a and 17/11.
11
Let k = -3349/3 - -1105. What is the common denominator of 29/16 and k?
48
Suppose 2*b = -4*j + 8, -b = -4*j - 20 + 4. Let l = 27 + -16. Calculate the least common multiple of l and b.
88
Suppose -3*p + 160 = 2*p. Suppose 8 = 5*u - p. What is the lowest common multiple of 18 and u?
72
Suppose 0 = 2*k + 3*k - 135. Let m be k/(3/(-2 - 1)). Let n = m + 49. Calculate the least common multiple of n and 12.
132
Let s be (-12)/(-9)*-3*1. Let o be (-15)/10*(-10 + 0). Find the common denominator of -46/9 and (o/6)/(s/30).
36
Let x = -5 + 14. Suppose -3*h = 3*q - 24, -2*h - 3*q + 23 = x. What is the least common multiple of 8 and h?
40
Let n = 2 + 5. What is the common denominator of 97/2 and (n/14)/((-2)/26)?
2
Let d = -1692678/7 + 16791869/70. Let a = 1930 + d. Calculate the common denominator of a and -1 + 1 + 3/4.
20
Suppose 3*q - 5*s = 9, -q - s - 2*s = -3. Let n = 0 + q. Calculate the smallest common multiple of 0 - (1 - n - 2) and 20.
20
Let t = -1 + 1. Suppose -i - 4*w = -19, 2*w = 4*i - t*w - 4. Suppose u + 8*x = i*x + 18, -3 = u - 2*x. What is the lowest common multiple of 8 and u?
24
Let o = 31/106 + -1990/371. Find the common denominator of o and 61/8.
56
Let c be (5/(-2))/((-40)/96). Suppose 5*v + 4*j - 41 = 0, -c*v + j = -2*v - 37. What is the lowest common multiple of 3 and v?
9
Suppose -2*k = -23 - 1. Suppose 2*z = 4*z - 32. Calculate the least common multiple of z and k.
48
Let z = 656409/4 - 163161. Let q = -935 + z. What is the common denominator of q and (-1*1)/((-2)/25)?
4
Let f(o) = -o**3 + 5*o**2 + 7*o - 5. Let b be f(6). Let h = b - -1. Suppose -q = h*a, a - 2 = -7. What is the least common multiple of 8 and q?
40
Suppose 3*v + 2*d - 10 = 0, -5*v - 6 = 3*d - 22. Let q = v + -7. Find the common denominator of (-67)/(-2) - (q + 2) and -95/14.
14
Let n = 677/798 + 1/114. What is the common denominator of -53/10 and n?
70
Calculate the smallest common multiple of 24 and (2 + (-16)/5)/(6/(-50)).
120
Let y = 3 - 1. Suppose 3*b - y*b = 18. Let s(t) = t**3 + 2*t**2 - 2*t. What is the least common multiple of b and s(-2)?
36
Suppose -19 = 3*q + 47. What is the common denominator of 83/20 and 15/18*q/20?
60
Let l = 4134/5 - 820. Calculate the common denominator of l and 53/8.
40
Let g = 8 - -10. Let h = 30 - g. Suppose -5*s + 4 = 3*z, h = 3*z - 2*z - s. What is the common denominator of z and -87/10?
10
Let t(m) = m + 13. Let n = 29 + -16. Let l = -7 + n. What is the lowest common multiple of l and t(-7)?
6
Suppose j + 2*j + 3*x = 1572, -4 = -x. Suppose -y + j = -5*y. Calculate the common denominator of (y/(-12))/5 + -1 and 29/10.
30
Let r be ((-21)/5)/(6/(-60)). Calculate the common denominator of (-4)/(-10) - r/55 and 13/11.
11
Let z = -28/57 + -282/19. Let d = -1031 + 5177/5. Find the common denominator of d and z.
15
Let b = 18 + -6. Suppose 2*v - 6 = -v. What is the lowest common multiple of b and v?
12
Let t = -119/66 - -13/6. Find the common denominator of 67/8 and t.
88
Suppose 3*d - 2 = -8. Let v be (5/(-3) - -2)*3. Calculate the smallest common multiple of 22 and v*d*(1 - 8).
154
Let d = -1 - 2. Let i = d + 14. Calculate the lowest common multiple of 11 and i.
11
Suppose 2*r + a - 4*a - 10 = 0, 2*r - a - 2 = 0. Let x be (2 + 0)*r/(-2). Calculate the common denominator of (x - 0) + (-177)/15 and 44/5.
5
Let k = 1767/14 + -126. Let q = -14261/8 - -1771. Find the common denominator of q and k.
56
Let g = -1853814 - -22260917/12. Let d = 1274 - g. Calculate the common denominator of 9/10 and d.
60
Let u(c) = -c - 3. Let m be u(-6). What is the common denominator of -1 + m - 155/40 and (3 - 7)/(4/46)?
8
Suppose -3*b - a = -13, -4 = -a - 3. Let w = b - 14. Find the common denominator of -1/4 and (-2)/w - 526/180.
36
What is the common denominator of 41/86 and 331/(-70) - (-6)/(-30)?
602
Suppose 0 = 4*q + 4*b - 52, 3*q + 0*q - 35 = -b. Calculate the smallest common multiple of q and 13.
143
Let g = -36 - -60. What is the least common multiple of 4 and ((-12)/(-1))/(18/g)?
16
Let i = -145175/14 + 10376. Calculate the common denominator of i and 101/6.
42
Let t(w) = 2*w. Let r be t(1). Suppose -r*y = -6*y - 224. Find the common denominator of 39/22 and (234/y)/(3/6).
154
Suppose -34 = -4*u - 2*s, 4*s - 4 = 3*u - 2. Let a = -4 - -6. What is the smallest common multiple of a and -3 - (u/3 - 15)?
10
Let h(p) = -5*p + 28. Let u = 5189 - 57038/11. Calculate the common denominator of u and h(2).
11
Suppose -20 = -f + 5*h, -f + 0*h = -h - 20. What is the smallest common multiple of 18 and f?
180
Let p be -5 + 9 + 2/(-1). Calculate the lowest common multiple of 2 - (-3 + (p - -1)) and 28.
28
Suppose r = -h - 0 + 2, -2*h + 19 = -3*r. Calculate the common denominator of (-114)/16*1/r and -45/2.
8
Let s = 18352 - 330421/18. Calculate the common denominator of -111/14 and s.
126
Let u = -4 - -4. Let x be 2/1 - (-3 + u). Suppose 0 = x*n + 47 + 78. What is the common denominator of n and -13/8?
8
Suppose 5*v = 9 + 36. Let y(h) = h**2 - 8*h - 25. Calculate the least common multiple of v and y(11).
72
Let p = -353/4 - -103. Find the common denominator of -109/6 and p.
12
Let t = -23 - -190/9. Calculate the common denominator of t and 59/4.
36
Suppose 3*l - 12 = -2*t + 6, 2*l - 4 = 0. What is the smallest common multiple of 22 and t?
66
Let p be (-6)/((-3 - -2)*-1). Suppose 5*f - 135 + 5 = 0. Find the common denominator of (p/40)/(2/36) and f.
10
What is the common denominator of 91/6 and -3 + (-724)/(-24) - 4?
6
Let j(g) be the second derivative of g**3/6 - g**2/2 + g. Let k = 52 + -42. What is the smallest common multiple of j(3) and k?
10
Suppose 4 + 0 = 2*j. What is the smallest common multiple of j and 5?
10
Suppose -y - y = 0. Let h(f) = 2*f - 9. Calculate the smallest common multiple of h(6) and 2 + -