8. Calculate the common denominator of -44/27 and k.
54
Suppose -4*n = 6 - 2. Let a be n/4 + 7078/(-8). Find the common denominator of a/(-108) + (-9)/12 and 41/9.
9
Let b(g) = 4*g - 55. Calculate the least common multiple of b(21) and 4/(-6) + (-20)/(-3).
174
Let x be -6830 + (-5 - -10) - (1 + 1). Let w = 54531/8 + x. Find the common denominator of w and -5.
8
Let o(d) = -d**3 + 5*d**2 - 4*d + 2. Let c(g) = 7*g + g + 1871 - 1873. What is the lowest common multiple of o(3) and c(3)?
88
Suppose -z + 12 + 0 = 0. Suppose -2*x + z = -16. Suppose 28*j - 78 - 6 = 0. What is the least common multiple of x and j?
42
Suppose -29 - 51 = 4*k. Let p be k/(-8)*6/5. Suppose -7 = -4*b + p*n, n - 22 = -4*b - n. Calculate the lowest common multiple of 10 and b.
20
Suppose 4160 = -56*s + 82*s. Calculate the lowest common multiple of s and 15.
480
Let s = -4217/4 + 1031. Let v be 2137/(-4) - (-26)/13. Let i = 10771/20 + v. Calculate the common denominator of s and i.
20
Suppose 322 = -o + 324. What is the least common multiple of 8 and o?
8
Suppose -5*l + 25 = 0, 2*m - 13 = -l - 0*l. Suppose 5*y - 135 = -m*y. What is the least common multiple of y and 18?
90
Let q = 11 - 26. Let u = 42 + q. Calculate the common denominator of 21/u + 1*-2 and 51/5.
45
Let n be (90/(-4))/((-10)/(-20)). Find the common denominator of -3 - (n/8 - -3) and -3 - -2 - 1/10.
40
What is the smallest common multiple of 6 and 2 + -2 - -11 - 5?
6
Let o(m) = 19 + 2*m + 7*m - 6*m. Suppose 0 = 2*x - 4*d + 14, -2*x + 2*d = 5 + 1. Calculate the lowest common multiple of o(3) and x.
28
Suppose 119 = 17*c - 9571. Calculate the smallest common multiple of 627 and c.
6270
Let r = -13 - -18. Suppose 2*a = r*k - 936, 3*k + a = 4*k - 186. What is the common denominator of -59/9 and -4 - -2 - k/(-18)?
9
Suppose -2*u + 2*p = 0, 4 = 5*u - 4*p - 0. Suppose -9*w + u*w = -6265. Let m = 7379/6 - w. What is the common denominator of 89/20 and m?
60
Let b be 13329/84 - (-1)/(-4). Let g = b - 7543/42. Find the common denominator of (322/(-126))/(2/12) and g.
6
Find the common denominator of 63/(-504)*2/3 and ((-226)/(-27))/((-8)/(-6)).
36
Let q(y) = -3 - 4*y - 5*y + y - 2. Let v(i) = -i**3 - 5*i**2 + i + 7. What is the lowest common multiple of v(-5) and q(-2)?
22
Let o be (2 + 1)/(6/8). Suppose -25 = -2*h + 41. Suppose g - 3*g - o*c = -24, 4*g - h = -3*c. What is the lowest common multiple of g and 3?
6
Let v = 54 - 51. Suppose -5 = -o + 5*a, 2*a - 39 = -4*o + v*a. Suppose -3*f + z + 46 = 5*z, -3*f = -z - 71. Calculate the lowest common multiple of o and f.
110
Let i = -58/115 + -1942/345. Find the common denominator of i and -19/8.
120
Find the common denominator of (1 - 5)/(-4) - 19/22 and 33/10.
110
Let f be 84646/(-16020) + (-2)/10. Let b = f - -7/178. Let h = 6633/4 - 1674. Calculate the common denominator of h and b.
36
Let h = -5 - -8. Suppose 0 = 3*g - 21 + h. Let a(q) = q**2 + 18*q + 37. What is the least common multiple of g and a(-17)?
60
Let q = -61 + 96. Let j(p) = 4*p**2 + 222*p - 67. Calculate the lowest common multiple of j(-56) and q.
315
What is the common denominator of 31/48 and 7 - (-5 + 12) - 43/8?
48
Let x(v) = 3*v**2 + v - 3. Suppose -3*a - 12 = -6. Let b be x(a). Suppose -6*o + b*o - 11 = 0. What is the least common multiple of 8 and o?
88
Suppose -16*p - 17 = -19*p - 5*j, -5*p + 65 = j. What is the least common multiple of 34 and p?
238
Let h be -8045 + (4 - 3/1). Let b = h + 176997/22. Calculate the common denominator of b and (-119)/(-6) - (0 - 0).
66
Let a = 15479 - 15472. Calculate the smallest common multiple of a and 9 + -1 + (0 - 0).
56
Let l = 47 - 83. Find the common denominator of 24/(18/(-3)) - 238/(-20) and 4 + -2 + (-226)/l.
90
Find the common denominator of 87/112 and 2 - (321/(-90))/(26/(-39)).
560
Let a = -494/231 - -14/33. Let b = 3/44 + 2/11. Find the common denominator of b and a.
28
Let w = -173/56 + 64/21. What is the common denominator of -55/228 and w?
456
Suppose 4*d + 24 = 3*n, 18 = 3*n + 4*d - 6. What is the smallest common multiple of n and 128?
128
Let w = 12547/7872 - 1/7872. Find the common denominator of w and 23/88.
352
Let q be (24/(-20))/(3/10). Let s be q/((-96)/136011) - -2. Let o = s - 5661. What is the common denominator of 39/20 and o?
40
Suppose 1220*h - 1224*h = -500. What is the smallest common multiple of 200 and h?
1000
Let j(w) = -48*w - 554. Calculate the smallest common multiple of j(-23) and 440.
2200
Let n = -3214 + 25759/8. Calculate the common denominator of n and 0 - 0 - (-162)/44.
88
Find the common denominator of -1 - -4 - (805/(-12))/35 and 113/100.
300
Suppose -4*w - 2*h + 60 = 0, 5*w + 5*h - 42 = 33. What is the smallest common multiple of 7 and 24/w + 2/5?
14
Let b(m) = 7*m - 11. Suppose 0 = -3*i - 5*r + 1, 5*i - 2*r + r = 11. What is the smallest common multiple of 2 and b(i)?
6
Let y be (-7)/77*12153/((-9)/(-3)). Let r = -368 - y. Find the common denominator of r and (12/(-8))/((-9)/79).
66
Let c(a) = -16*a - 9. Let u be c(6). Calculate the common denominator of 77/8 and (4/(-6))/((u/9)/(-7)).
40
Let j be -20 + 16 + 300 + 1. Let x = -2606 + 1836. What is the common denominator of 4/(-14) - j/x and 95/14?
70
Let w(y) = 2*y + 10. Let t be w(-6). Let h be -4*(-3 - t)/1. Suppose -12 = -4*j, d + 24 = h*d + 4*j. Calculate the least common multiple of d and 10.
20
Suppose 0 = -5*r + 5145 + 715. Let u = 10585/9 - r. Calculate the common denominator of u and (-4)/(-6)*249/12.
18
Let k = -20981/18 + 838/9. Let s = -1115 - k. What is the common denominator of s and (-37)/6 + 6/(-3)?
6
Let g(w) = -w**2 + 5*w + 3. Let u be g(5). Suppose 0 = u*f - 3 - 3. Calculate the smallest common multiple of f and 8 + (1 - (-6)/(-2)).
6
What is the common denominator of ((-1)/(-528))/((-4)/172) and 16/15?
2640
Let l = -1 - -3. Suppose -l*u + 10 = -0. Let g = 2136 + -2134. Calculate the lowest common multiple of g and u.
10
Let l = 64468/501 + 20673383/4008. Let w = l + -5285. Find the common denominator of -76/69 and w.
552
Let t = -135/2 + 459/8. Find the common denominator of t and 87/46.
184
Let x = -78 + 102. Suppose -4*t - 2*d - d + 96 = 0, t - 5*d = x. What is the lowest common multiple of t and 8?
24
Let c be (-30)/(-12)*(1 - 5). Suppose -3*l - 10 = -34. Calculate the least common multiple of (-52)/c + (-5)/25 and l.
40
Suppose -2*o + 20 = -f, 4*f + f + 10 = 0. Calculate the least common multiple of 11 and o.
99
Let n be (12687 - -2)/(9 + -701). Let p = -15/173 - n. What is the common denominator of 61/6 and p?
12
Let w be -2 - (0 - (-3286)/(-1040)). Let l = 8/955 + -2778/12415. Let s = l - w. What is the common denominator of s and 51/14?
56
Let a be (0 + 214/3)/(48/(-1782)). Let s = a - -2625. Calculate the common denominator of 37/10 and s.
20
Suppose -2*l - 12 = -8. Let a be l/((-1)/10*-1). Calculate the common denominator of 83/(-18) - a/(-10) and -63/20.
180
Let a = -4 + 20. What is the common denominator of 99/20 and (60/a + -3)*500/18?
60
Let t = -98 - -110. What is the lowest common multiple of t and 28?
84
Suppose 0 = -8*c + 6*c + 4*d + 28, 3*d = -2*c + 7. Suppose 3*u = 2*t + 2*u - 31, -3*u - 77 = -5*t. What is the lowest common multiple of t and c?
16
Let u(f) = f**3 - 10*f**2 + 12*f + 13. Let p be u(9). Let j = p - 30. Calculate the smallest common multiple of 9 and j.
90
Let d be (-4)/(-16) + 57/12. Suppose -5*b + 190 = d*f, 0 = 2*f + 4*b - b - 78. What is the smallest common multiple of f and 12?
36
Let r be (-10)/5 - (-70098)/35050. Let o = r - -164739/70100. What is the common denominator of o and -85/16?
80
Let t be ((-8156)/28 - -3) + 3. Let l = t + 279. What is the common denominator of 1 - (-201)/27 - 1 and l?
63
Let d = 84 + -80. What is the smallest common multiple of (-3)/((-18)/(-3))*-4 and d?
4
Calculate the smallest common multiple of 3/(-11) + (-32128)/(-352) and 52.
364
Let z = -18/2123 - -1263329/16984. Let u = z - 9389/120. Calculate the common denominator of u and ((-29)/2 - 1)/5.
30
Let k = 324/11 + -3143/66. Calculate the common denominator of k and -55/81.
162
Let u be (-5)/20 + 98/32. Let j = u + -53/144. Calculate the common denominator of ((-2)/(-21))/((-2)/(-66)) and j.
63
Suppose 11 = -8*x - 5. What is the common denominator of ((-54)/(-36))/(2 - x/(-22)) and -1/44?
308
Suppose 2*m - 44 = -4*w, -2*m - 7 