 = -2*y**2 + 2*y - 12. Let h be i(-15). Find the common denominator of (-67)/(-3) - 1 - 1 and (18/(-4))/(h/1189).
24
Let n = 21 - -24. Suppose -n = -16*g + g. Calculate the least common multiple of 2 and g.
6
Suppose -11*u + 100 = -87. Suppose -3*t + 3 = -4*t - h, 4*h + u = t. Calculate the smallest common multiple of 4 and t.
4
Let m be 8/(-6)*(-6)/(-4). What is the common denominator of 2/m + 24/(-10) and -53/11?
55
Suppose -11*w + 20 = -35. Let c = 18 - 13. Suppose 3*v = c*u + 17, 3*v = u - 0 + 25. What is the least common multiple of w and v?
45
Let y(g) = -g**2 + g - 14. Let u be y(0). What is the common denominator of (-42)/(-18) + 2/(-4) and ((-1)/(-2))/(u/38)?
42
Suppose -25 + 361 = 16*z. Suppose 0 = -z*b + 15*b + 18. What is the smallest common multiple of 6 and b?
6
Let w = -227/45 + 119/15. What is the common denominator of 77/6 and w?
18
Let b(o) = -10*o**3 - 2*o + 1. Let m be b(1). Let v = -5 - m. Let a = -53 - -55. What is the lowest common multiple of a and v?
6
Let r be ((3 - 5)/(-2))/(-1). Let s be r/5 + 2/10. Suppose 0 = 4*f - x - s*x + 182, 4*f = 5*x - 190. Calculate the common denominator of -7 and f.
1
Suppose 6*s - 11*s = -530. What is the lowest common multiple of s and 20?
1060
Let d = 480 - 43. Let f = -4801/11 + d. Let n = 139/102 + 399/17. Find the common denominator of f and n.
66
Let g be (-414035)/(-1435) - 4 - -4. Let c = g + -2026/7. Find the common denominator of c and -55/7.
287
Calculate the common denominator of (-22477)/(-9555) - (-4)/(-10) and 68/15.
105
Let g = -2 - 1. Let m(i) = 4*i**3 + 27*i**2 - 9*i - 6. What is the least common multiple of (-6)/(2*g/3) and m(-7)?
24
Let i = -118859276335 + 59845883343. Let c = i - -1753582972515301/29715. Let t = -2/4245 - c. Calculate the common denominator of t and -45/2.
14
Suppose 2*x - 19 = -k, 5*x - 757*k = -756*k + 51. Suppose -30 = -5*p + 4*v, -19 = 3*p + v + 4*v. What is the least common multiple of x and p?
10
Let n = -27/125 + -7186/875. What is the common denominator of (-4)/(-24)*-1 - 40/15 and n?
42
Suppose -2*r - 25 = -3*a, 8*a - 3*a - 4*r = 43. Let l = 3 + a. Calculate the smallest common multiple of 14 and l.
70
Find the common denominator of 3/28 and 2 - (4128/(-616) + 8).
308
Suppose 3*c + 4*x = 202, -388 + 74 = -5*c - x. Calculate the least common multiple of c and 18.
558
Let l(j) = j**2 - 9*j - 15. Let y be (4/5)/(4/(-10)). What is the least common multiple of l(11) and (0 + y)/((-4)/10)?
35
Let h be -68*(9/(-20) - (-3)/15). Suppose -7 = -6*r + h. Let d = -19 - -27. What is the lowest common multiple of d and r?
8
Let y be (-1 - 15/(-13))*22210/(-1800). Let d be 2/(-7) + (-782)/(-1365). Let b = d + y. What is the common denominator of 39/4 and b?
36
Suppose 3*l - 2 + 29 = 0. Let b = l - 8. What is the common denominator of 49/20 and (-13853)/(-1428) - (-2)/b?
60
Let o = 328/29 - 2533/406. Let h = -1581589643 + 49045094760779/31010. Let i = h + -1/2215. Find the common denominator of i and o.
14
Let v(b) = 229*b**3 - 2*b**2 - 3*b - 1. Let r be v(-1). Let h = 1567/7 + r. Calculate the common denominator of -11/5 and h.
35
Let z = -8529/496 - -690/31. Let c = -1/307 - 18719/2456. Calculate the common denominator of c and z.
16
Let j(f) = -f**2 + 7*f + 10. Let w be j(8). Suppose -w*d - 10 = -3*d. What is the least common multiple of 2 + 1*(-8)/(-2) and d?
30
Suppose 3*g + 2*g - 10 = 0. Suppose 0 = -3*w - g*w + 100. What is the smallest common multiple of w and 62?
620
Let u = 21/3803 - -79321/1475564. What is the common denominator of u and -99/2?
388
Let j(s) = 16 + 64*s**2 - 132*s**2 + 69*s**2 + 9*s. Calculate the smallest common multiple of 8 and j(-9).
16
Let k = 46 - -6. Suppose 2*v - k = -r + 4*r, 4*v - 4*r - 96 = 0. Let y = 65 - 45. Calculate the least common multiple of y and v.
20
Suppose -10*x - 39 = -59. What is the smallest common multiple of 14 and x?
14
Suppose -15 = 4*q + 1. Let n = 4 - q. Calculate the lowest common multiple of -28*(262 - 264 - (-1)/(4/6)) and n.
56
Let g = 81 + -74. What is the lowest common multiple of 77 and g?
77
Let z(g) = g**2 + 11*g + 37. Let m = 13 + -12. What is the smallest common multiple of m and z(-6)?
7
Suppose -2*u + 6 = -4*u. Calculate the least common multiple of u - 1 - (-92)/2*5 and 12.
1356
Let h = -27333/5 + 5827. Let q = 362 - h. Calculate the common denominator of (11/6 + -2)*1 and q.
30
Find the common denominator of 4/10 - 331/15 and (-4838)/(-410)*(-20)/72.
18
Let n = 3193/1050 - 166/105. Find the common denominator of n and 25/7.
350
Suppose 2*y = -2*k + 2, k - 10 = 5*y - 9*y. Calculate the smallest common multiple of y and 255.
255
Let z(a) = 3*a + a + 11*a - 1. Let n(p) = p**3 + p**2 - 2*p + 2. What is the least common multiple of z(1) and n(1)?
14
What is the common denominator of (-519)/45 + 14/(-105) and 38/7?
21
Let u be (-27)/(-6)*(-2)/(-3). Suppose 3*n - r = -n - 35, -n = r + 10. What is the least common multiple of 6 and u*(2 - 3/n)?
42
Find the common denominator of (9/12)/(176/32) and -5/46.
506
Let d = 63 - 65. Calculate the lowest common multiple of 4 and (-10)/(-30)*d*1*-36.
24
Find the common denominator of 19/3 and (-2)/4 + (-102)/(-3000)*5.
300
Let a = -1/19457 - -1147979/311312. Calculate the common denominator of -97/66 and a.
528
Suppose 164 = 4*x - 5*z + 54, 0 = -5*z + 10. Suppose 2*m + 68 = 3*y - 17, 2*m - 131 = -5*y. Calculate the lowest common multiple of x and y.
270
Let f = -2 + -2. What is the common denominator of (1 - 2)*(-53)/(-2) and 3 + f + 135/(-20)?
4
Find the common denominator of (-54)/72*3/(45/175) and 58/549.
2196
Let s(p) = -p - 3. Let f(r) = -2. Let v(m) = -2*f(m) + 2*s(m). Suppose 0*b + b + 2 = y, -2*b = 3*y + 24. What is the least common multiple of v(b) and 16?
80
Let f = 1067 + -2055/2. What is the common denominator of (-10)/8 + 590/248 and f?
62
Let i = 191 - 119. Suppose -i = -4*d + 2*d + 3*z, -2 = z. What is the common denominator of 11/12 and (14/d)/((-60)/(-315))?
132
What is the lowest common multiple of 120 and (-12 + (-324)/(-24))*(-50)/(-1)?
600
Let g = 60 - 62. What is the common denominator of 29 and 1*((-36)/1305)/(g/25)?
29
What is the least common multiple of 192 and (-15)/100*10*1*-2?
192
Let g = -477/22 + -130/11. What is the common denominator of -145/6 and g?
6
Suppose 4*m + 5*l = 3*m + 42, 4*m - 3*l - 122 = 0. Suppose -4*v + m = -5*z, -6*z + 3*z = 0. Calculate the smallest common multiple of v and 18.
72
Suppose -4*a + 1 = -11. Suppose 2*f = -a*f + 55. Suppose 8*m = 3*m + 55. Calculate the least common multiple of m and f.
11
Let w be ((-9)/(-7) - 4)/(-3). Let l = w - 467/168. Calculate the common denominator of l and 1*10*(-6)/88.
88
Suppose 3*o - 232 = -o - 5*k, 4*o + 4*k - 236 = 0. Calculate the smallest common multiple of 9 and o.
63
Let n be (-1317*4/(-84))/(-1 + 0). Let x be (-4)/14 + 4535/70. Let d = n + x. What is the common denominator of 109/20 and d?
140
Let x = 5 + 1. Suppose 7*p = 5*p - 2*b + 2, -b = -5*p - 19. Calculate the lowest common multiple of p/x*-14*2 and 12.
84
Suppose 1392 = 14*w + 15*w. Calculate the least common multiple of w and 234.
1872
Let m be (-4 + (-15)/(-6))*2. Find the common denominator of m/(-7) - (-5863)/(-728) and 81/8.
8
Let t = 25179877/1431 + -17596. Let w = t + 101593/11448. Calculate the common denominator of 11/10 and w.
40
Find the common denominator of 33/1634 and (27/(-10) - -2)*711/(-63).
8170
Suppose -28*s + 124 = -27*s. Calculate the least common multiple of 24 and s.
744
Find the common denominator of -52/63 and (-396)/330 - (-1694)/720.
504
Suppose -g = -4*u + 12, -3*u + 18 = -g - 2*g. Let h be 1*1*12*3. What is the common denominator of -2 + u/h*16 and -18/11?
99
Let f = 2765 + -2707. What is the smallest common multiple of f and 46?
1334
Suppose -29*d - 15 = -30*d. Find the common denominator of 67/9 and d*-2*3/42.
63
Let t(f) = f**2 - 21*f - 54. What is the smallest common multiple of 21 and t(24)?
126
Let t(u) be the second derivative of u**3/6 + 23*u**2/2 + 6*u. What is the smallest common multiple of 9 and t(-17)?
18
Suppose 0 = 4*y + 3*c + 21, -3*c + 36 = -3*y - 6. Let k(g) = g**2 + 8*g + 1. Let f be k(y). Find the common denominator of 3714/180 - (-2)/f and 95/4.
12
Suppose -4*u - 5*w = -10*w + 60, 5*u = 2*w - 58. Let m = u - -16. Let c(x) = 11*x + 1. What is the 