pose 0 = -2*k - 0*k - 964. Let s = k + 3356/7. What is the common denominator of s and -39/5?
35
Let a = 2/195 + -4363/780. Let n = -1 + -2. What is the common denominator of a and 2/n*101/8?
12
Let d be ((-40)/(-6))/((-2)/(-6)). Let i = -12 + d. What is the lowest common multiple of i and (6*7/14)/((-1)/(-3))?
72
Let f = -2/271145 - -895333/154940. Let n be (-6332)/630 + (-10)/(-45). Let i = n + f. What is the common denominator of 41/6 and i?
60
Let l = -11421/8 + 1424. What is the common denominator of l and -11/3?
24
Let b be (-2097)/213*9/2. Let v = 14/71 - b. Find the common denominator of -49/5 and v.
10
Calculate the lowest common multiple of 20/((-70)/7)*42/(-4) and 30.
210
Suppose -5*x - f = 227, x - 5*f = 4*x + 123. Calculate the common denominator of x and 15*(-4)/12 + 51/(-10).
10
Suppose 25 = -2*n + o, n - 2*o + 10 = -4*o. Let i = -6609 + 105695/16. What is the common denominator of 15/n*(-34)/(-8) and i?
16
Let r be -3 - (-3 - (-5)/1). Let c(i) = 3*i - 5*i + 1 + 1 + 0. What is the lowest common multiple of 6 and c(r)?
12
Suppose 7 - 1 = y. Calculate the lowest common multiple of y and 30.
30
Suppose -4*r = -2*m + 6, -r + 4*m - m - 14 = 0. Let t be 29 + -1*(r - 2). Find the common denominator of -113/10 and (-555)/20*4/t.
10
Let q = -77901/16496 - -36/1031. Calculate the common denominator of q and 374/(-12) - (-6)/9.
16
Calculate the smallest common multiple of (-3164)/(-63) + (-4)/18 and 35.
350
Let n be (-3)/3 + (-70802)/(-9768). Let y = n + 2/1221. Let m = 7936 + -174503/22. Calculate the common denominator of y and m.
44
Let f = -16 + 28/3. What is the common denominator of -65/42 and f?
42
Suppose 2*r - 2 = 4*l - 3*l, 16 = 4*r. Let p(b) = -11 + 11 - 5*b. What is the least common multiple of l and p(-4)?
60
Let i = 63/53 + -1872/371. Let v(z) = z + 2248. Let s be v(0). Let w = s + -20179/9. Find the common denominator of i and w.
63
Let t = -3 - -5. Suppose 4*v = t*b - 32, v + 4 = -2*b + 51. What is the least common multiple of 4 and b?
44
Let i = 5077/1580 + -558/79. Let c = -285786 - -10287421/36. Let g = -263/9 - c. Find the common denominator of g and i.
60
Suppose 4*m + 26 = 6*m. Let b be 5/((-10)/(-8) - 1). Let i = b - m. Calculate the least common multiple of 3 and i.
21
Suppose -2*q - 3*q + 5*k + 30 = 0, -3*k = 3*q - 18. Suppose -10 = 4*f + q. Calculate the least common multiple of 14 + f + 2 - 2 and 12.
60
Let t be (-4270)/(-4) + 4 + -6. Let h = t + -1023. What is the common denominator of h and -37/18?
18
Suppose -6 = 5*v - 2*v, 5*c - 194 = -3*v. Suppose -c = -2*h - 3*h. What is the smallest common multiple of (-1)/4 - 13/(-4) and h?
24
Let g(k) = k**2 + k - 2. Let v be g(2). Suppose -8 = 4*y + v. Find the common denominator of 13/9 and (14/(-3))/(5/y).
45
Let p = 111/8 - 15. What is the common denominator of -115/12 and p?
24
Let t(d) = 2*d - 4. Let h be t(3). What is the least common multiple of 2/2 - (3 + -6) and (-1 - 14)*h/(-5)?
12
Let w be 0 - 0 - (0 + 2). Find the common denominator of (w + (-13)/(-6))*-113 and -2 + 3 + 1/8*-43.
24
Let y = 845 - 3303/4. Calculate the common denominator of -7/4 and y.
4
Let c = 43723/25872 - 4/1617. Find the common denominator of c and -101/20.
80
Let t be -1 + (3 - 1) - 1. Suppose t = n + 2 - 1. What is the common denominator of n/(-2) + (-105)/8 and 7/18?
72
Suppose 4*d - 10 = 2. Suppose 2*w + d*r = -2*w + 15, 3 = -r. Calculate the smallest common multiple of 1/((-28)/16 + 2) and w.
12
Suppose 7*n - 2*n + 157 = -m, -2*n - 5*m - 49 = 0. Find the common denominator of 131/6 and n.
6
Let c(o) = o. Let g be c(4). Suppose h = g*h - 54. Calculate the smallest common multiple of 6 and h.
18
What is the common denominator of ((-25)/(-40))/(7/(-92)) and -33/8?
56
Let h(x) = x + 10. Suppose 2*d = 0, 3*b + 3*d + 0 = -18. Calculate the smallest common multiple of h(6) and (0 + 8/b)*-6.
16
Let d = -12 - -18. Calculate the least common multiple of ((-1)/1)/((-3)/54) and d.
18
Let q be (-13326)/56 - (-3)/12. Let s = q + 237. Find the common denominator of 0 and s.
7
Suppose 69 - 9 = 3*s. What is the least common multiple of 4 and s?
20
Let g = 1500 + -2919/2. Find the common denominator of g and -26/11.
22
Let o = -87 - -105. What is the least common multiple of 39 and o?
234
Suppose -3*r - 11 = -h, 0*h + 5*h + r - 71 = 0. What is the lowest common multiple of 32 and h?
224
Suppose -2*z = -4*z - 4*t - 10, z + 4*t + 15 = 0. Suppose 3*q + 4 = y, -z*q + 1 = 5*y - 59. What is the least common multiple of y and 14?
70
Let w(z) = -32*z**2 + 3*z - 14. Let s be w(-15). Let p = 87049/12 + s. What is the common denominator of 13/16 and p?
48
Suppose 0 = -22*x + 20*x + 4. What is the least common multiple of 10 and x?
10
Let u be (2908414/(-6))/((-1)/96). Let c = -1023529339/22 + u. Let q = 10567 - c. What is the common denominator of -1/18 and q?
198
Suppose 5*o + 4*j - 86 + 16 = 0, 56 = 4*o + 4*j. Let g(n) = -2*n - 1. Let b be g(-1). Calculate the lowest common multiple of o and b/3 + 65/3.
154
Let c = -12457/6 + 2060. Find the common denominator of c and 23/3.
6
Let c(r) = -r**3 - 5*r**2 - 7*r - 5. Let t(f) = -f**2 + 2*f + 3. Let v be t(3). Suppose -2*u + 6 = -v*u. Calculate the least common multiple of c(-4) and u.
21
Suppose 0 = -5*c + 5*z + 100, 3*c = 5*z + 61 + 3. Calculate the smallest common multiple of 30 and c.
90
Let d = -9 - -14. Suppose -a - 35 = -4*p, -4*p + d*a = p - 25. Calculate the least common multiple of p and 8.
40
Suppose 5*s - 45 = -4*s. What is the least common multiple of s and 7?
35
Let m = 481/2 + -223. What is the common denominator of 79/(-14) + (-72)/(-126) and m?
14
Suppose b - 25 = 6*o - 2*o, 0 = -3*b - 3*o. Let x(i) = 2*i + 2. Let v be x(-7). Let t = 19 + v. Calculate the lowest common multiple of t and b.
35
Let k(d) = -d**3 - 33*d**2 - 30*d + 68. What is the smallest common multiple of 24 and k(-32)?
24
Let m be (-1)/4 + (-207404)/(-176). Let i = -27565931/23397 + m. Let o = -75865/4254 - i. Calculate the common denominator of o and -31/6.
6
Calculate the common denominator of (-2)/9 + (-1874)/(-252) and -4 + 1 - (-298)/44.
154
Let p be 9/5*40/12. Calculate the common denominator of 7/10 and 6/p + (-42)/32.
80
Let q = 51 - 23. Let n = q - 26. Calculate the smallest common multiple of 3 and n.
6
Let f = 9/23 - 1991/92. Find the common denominator of f and 79/8.
8
What is the common denominator of (-15)/(-48)*(-66)/10 and 131/12?
48
Let p(n) = 44*n - 1. Let s be p(-1). Calculate the smallest common multiple of (-16)/20*s/2 and 14.
126
Suppose 0 = -6*a + 3*a - 606. Calculate the common denominator of -36/7 and 2 + -1 - a/12.
42
Suppose 2*t + 3*v = v + 70, 140 = 4*t + v. Calculate the lowest common multiple of t and 4.
140
Let u = 6 - 5. Calculate the smallest common multiple of 7 and u.
7
Suppose 0 = x, -7*r + 3*r + 80 = -3*x. Let p = 42 + -20. What is the smallest common multiple of r and p?
220
Let a = -26 - -60. Calculate the least common multiple of 16 and a.
272
Let n = -43/10 + 271/20. Calculate the common denominator of n and 23/14.
28
Let z(x) = x**3 - 15*x**2 + 13*x + 16. Suppose -3*g = -j - 37, -j - 4*j + 25 = 0. Calculate the lowest common multiple of z(g) and 4.
4
What is the common denominator of -121/10 and (-2)/20*(11 - (0 - 2))?
10
Let d = 1729/984 - 49/164. What is the common denominator of d and -44/21?
168
Suppose -5*x + 8 = -27. What is the lowest common multiple of (-44)/(-2)*1/2 and x?
77
Let w = -125 - -135. What is the least common multiple of w and 68/7 - 2/(-7)?
10
Let r = -24 + 25. Let n = r + 23. What is the lowest common multiple of n and 20?
120
Let z be (-1 + -1)*(-50)/2. What is the common denominator of 73/12 and (-36)/(-21)*(-105)/z?
60
Calculate the common denominator of ((-99)/5)/((-80)/(-50)) and 65/2.
8
Let d(n) = -n**3 + 6*n**2 + 7*n + 10. Suppose 4*m - 28 = -0*m. Suppose 19 = 4*v - v + y, 0 = -5*y - 25. What is the lowest common multiple of v and d(m)?
40
Let c = 335/10076 - -8/229. Let o = c + 373/176. Find the common denominator of o and 302/12 - 0/15.
48
Suppose -5*z + 0*d + 88 = d, -26 = -z + 4*d. Let l(t) = 2*t**2 + 13*t - 16. Calculate the lowest common multiple of z and l(-8).
72
Let j = 333 + -235. Let z = -1506 - -6073/4. Calculate the common denominator of 10/(-25) - j/(-20) and z.
4
Let i = -13835/8 + 1727. What