7. Let w be o(5). Let j be 1/(w - 229416/(-114735)). Let v = j - -2129. Find the common denominator of -107/6 and v.
18
Let x be ((-4)/(-4) + -2)*6. Let o = x + 26. What is the least common multiple of 1 and o?
20
What is the lowest common multiple of 14 and (-21)/(-6)*36/21?
42
Let c(o) = o**3 - 6*o**2 - o - 1. Let p be c(6). Let t be (-92249)/10 - (-10 - p). Let j = t + 9212. Calculate the common denominator of 77/2 and j.
10
Suppose 5*p - 12 = 4*z + 7, -32 = 5*z + 2*p. Let g(i) = i**2 + 6*i + 6. Let j be g(-5). Calculate the common denominator of ((-32)/6)/4 + j and z.
3
Let r = -11865/4 + 2984. Find the common denominator of r and 14/9.
36
Suppose 2*z + z = 66. Let k(l) be the second derivative of -l**3/6 + 17*l**2/2 + 2*l. What is the smallest common multiple of z and k(7)?
110
Let t(g) = -17*g**2 + 4*g - 3. Let h = 9 - 6. Let o be t(h). Find the common denominator of 202/o + (-6)/27 and 83/8.
8
Let q = -6 + 2. What is the common denominator of q/(-6) - 532/(-48) and 55/6?
12
Let k = 52 - 34. What is the lowest common multiple of 38 and k?
342
Let g = -15501/4 - -3850. What is the common denominator of 121/10 and g?
20
Suppose 3*x = 4*x + 3*n - 12, 5*x - 26 = 2*n. What is the common denominator of 63/2 and 2 + -2 - 67/x?
6
Let k(h) = -h**2 + 7*h - 8. Let p be k(6). Find the common denominator of p/(-8) + (-145)/(-10) and -49/5.
20
Calculate the common denominator of 53/20 and ((-412)/28)/((-12)/14).
60
Suppose -2*s = -5*v - s + 57, -4*s - 12 = -2*v. Let n = 10 - 7. Let r(a) = 6*a - 4. Calculate the smallest common multiple of r(n) and v.
84
Let m(i) = -i**3 + 9*i**2 - 5*i - 13. Calculate the lowest common multiple of m(8) and 8.
88
Find the common denominator of -57/10 and 300/(-16) + (-1)/(-2).
20
Let f be -8*((-4)/16 - 1). Let c = f + -6. What is the lowest common multiple of c and 10?
20
Find the common denominator of -5/68 and 795/126 + (-40)/(-30).
476
Let j(n) = n**2 - 14*n + 8. Let c be j(12). Calculate the common denominator of 91/18 and (-17)/c + (-8)/(-4).
144
Let h = -8 - -17. What is the lowest common multiple of h and 20/(2 - (3 - 3)) + -2?
72
Let v(u) = 3*u - 9. What is the lowest common multiple of v(6) and 2?
18
Suppose 2*z - 1 = c, 6 = -3*z - 0*z + 4*c. Calculate the lowest common multiple of 14 and z.
14
Suppose 4*v - 44 = 2*v. Let z = -11 - -8. Calculate the lowest common multiple of v and z*1/((-6)/4).
22
Let j(r) = 6*r**2 - r - 1. Suppose -4*c - 4*o = 0, -2*o = c - 0*c - 1. Let b be j(c). Let t = 11 - b. What is the lowest common multiple of 11 and t?
55
Suppose 0*x + 55 = -4*x - 3*s, -x - 18 = 5*s. Let z = 19 + x. Calculate the least common multiple of z and (-1)/(1*2)*-12.
6
Let r(f) = 2*f - 4. Let j be r(3). Suppose -i = 5*k - 6*i - 65, -4*k + 34 = j*i. What is the smallest common multiple of 12 and k?
60
Let l = 163/6722 + 5273681/473901. Let f = 2/141 + l. What is the common denominator of f and ((-2)/(-20))/(30/(-2275))?
12
Let y be 39606/(-20) - (-2)/(-10). Let v be (-7766)/(-4) - 1/2. Let i = y + v. What is the common denominator of -3/20 and i?
20
What is the common denominator of -68/27 and 2/(110/235 + -2)?
108
Calculate the common denominator of (-28)/5*14/(-28) and 97/6.
30
Let s be 11 - 6*8/(-12). Let p(w) = w**3 + w**2 - 3*w - 3. Let v be p(-4). What is the lowest common multiple of 2 and 6/v - s/(-13)?
2
Suppose 387 = v - 51. Calculate the common denominator of (-6)/(-9)*v/16 and -91/18.
36
Let p(q) = -32*q - 2. Let w be p(2). Suppose 0*y = y + 24. Let r = w - y. Find the common denominator of r and 13/10.
10
Let i = -79736947/3 + 2391879367/90. Let n = -12706/5 - i. Find the common denominator of n and -73/14.
126
Let r(n) = -9*n**2. Let a be r(-1). Let m(h) = h**3 + 9*h**2 - 2*h - 2. Calculate the smallest common multiple of m(a) and 14.
112
Suppose -12 = 4*t - x, -24 = t + 3*t - 4*x. Let b = -1471/116 + -2/29. Calculate the common denominator of 9/5*-1 - t and b.
20
Let c = -303175/252 - -8405/7. Calculate the common denominator of -125/18 and c.
36
Let s = 3626969/54 + -67168. What is the common denominator of s and 83/6?
54
Let g(u) = -u + 7. Calculate the least common multiple of g(3) and 16.
16
Let g = 6587/4 - 1632. What is the common denominator of 31/14 and g?
28
Suppose 0 = 5*r - 10 - 30. Calculate the least common multiple of r and 20.
40
Suppose 3*m + 3*m = 12. What is the lowest common multiple of 6 and 16*(-1 + m/1)?
48
Find the common denominator of 0 + ((-460)/(-56) - 4) and -77/20.
140
Let p = 59 - 32. What is the smallest common multiple of 27 and p?
27
Let z = -31 - -19. Let t be (-4)/1*21/z. Suppose -t - 21 = -4*p. What is the lowest common multiple of 10 and p?
70
Suppose 70 = -2*w - 0*w. What is the lowest common multiple of ((-22)/(-7))/((-5)/w) and 2?
22
What is the common denominator of -67/2 and (1 - 3/3) + 164/(-44)?
22
Let k = -27 - -14. Let t(d) = -d - 3. Calculate the least common multiple of (-16)/(-7) - 6/21 and t(k).
10
Let d(a) = -4*a - 1. Let l be d(-1). Let r be 0 + 1 + -3 + 6. Suppose 11 = r*g - l*g. Calculate the smallest common multiple of 8 and g.
88
What is the least common multiple of (-5 + (-145)/(-25))/((-4)/(-130)) and 18?
234
Find the common denominator of (11/352)/((-1)/74) and 41/4.
16
Let f = 0 + 0. Suppose 4*a + 5 + 7 = f. What is the lowest common multiple of 23/3 + (-1)/a and 8?
8
Let b = 1132216/10419 + -6/3473. Let k = b - 2887/24. What is the common denominator of k and 71/9?
72
Suppose -d - 5*q - 14 = 0, 2 = d - 3*q + 32. Find the common denominator of -93/8 and 1 - (2 + 135/d).
8
Let g = -26 + 38. Let r be (6*-3)/(0 - 2). Let u(j) = j + 11. What is the least common multiple of g and u(r)?
60
Suppose 5*z - z = 160. Suppose z = -n - 2*a, -5*a - 10 = -3*a. Let q = -10 - n. What is the lowest common multiple of q and 22?
220
Let t = 2519/2 + -15157/12. Find the common denominator of t and -51/4.
12
Suppose 2*n + 5*p = -0*n + 5, 0 = 4*n + p + 17. Let d = 7 - 10. What is the smallest common multiple of d/(-5) - 117/n and 12?
24
Let p = -11219 - -29137. Let n = -358257/20 + p. Calculate the common denominator of -99/2 and n.
20
Suppose -4 + 34 = 3*l. What is the smallest common multiple of 2 and l?
10
Let k = 740/7 - 682/7. Suppose 3*w - 6 = -3*u, 4*u - w - 21 - 2 = 0. Suppose -u*v - 60 = -2*v. Find the common denominator of v and k.
7
Let q(r) = 9*r**2 - 1. Suppose 4 = -3*y + 7. What is the lowest common multiple of 20 and q(y)?
40
Let b(n) = 4*n - 2. Let s be b(3). Calculate the common denominator of (-43)/s*20/24 and -119/18.
36
Let p = 50/13 + -367/65. Calculate the common denominator of p and 5.
5
Find the common denominator of 41/20 and (-93)/20 + (-6)/15.
20
Suppose -2*c - 13 = y - 1, -2*y - 15 = c. Calculate the common denominator of 5/4 and (-55)/(-16) - (y + 6).
16
Suppose -8*p = -11*p + 24. Let s(y) = 2*y - 2 + 3 - 5*y**3 - 6*y**3. Calculate the smallest common multiple of p and s(-1).
40
Suppose 2*z + 16 = -2*z, -4*x = -3*z - 56. Suppose -x - 45 = 4*a. What is the lowest common multiple of 1 - (0 + 3 + a) and 24?
24
Suppose 0 = z + 4*n - 3, -n + 2 = -z + 10. Suppose -2*d + z*d - 30 = 0. What is the common denominator of 115/d - (1 + 1) and -69/14?
42
Let q = 132273/20 + -6616. Let m = -368/7 - -1165/42. What is the common denominator of m and q?
60
Find the common denominator of 696/(-132)*(-3)/(-4) and 95/4.
44
Let c(x) = -x**2 + 6*x + 6. Let h be 43/9 + 10/45. What is the lowest common multiple of c(h) and 6?
66
Suppose 76 = 5*m + 4*o - 44, 2*m - 25 = 3*o. What is the lowest common multiple of m and 24?
120
Find the common denominator of -71/20 and (-9)/(-30)*545/(-18).
60
Let r = 307183/22 - 13967. What is the common denominator of 47/36 and r?
396
Let m be -76157*(-3)/(-72)*-3. Let r = -9532 + m. Find the common denominator of r and 75/22.
88
Let c = 39 - 59/2. Let d be (-8)/96*(-75596)/3. Let n = d + -2102. What is the common denominator of n and c?
18
Suppose 3*o = 4*n + 2*o - 28, 16 = 4*o. Calculate the smallest common multiple of n and 18.
72
Suppose -5*k + 100 = -4*j, 0 = -2*k - 3*j - 0*j + 40. Let w(q) = -2*q**2 + 5*q + 4. Let i be w(4). What is the least common multiple of (-1)/(-4) - 110/i and k?
140
Let z(n) = n**2 + 11*n + 9 + 6*n - 10*n. Suppose -9 + 37 = -4*o. What is the smallest common multiple of 4 and z(o)?
36
Let t