-47 + -49. Let p = -52 - m. What is the common denominator of 37/22 and (33/p)/(15/(-89))?
220
Let n(t) = 63*t**2 + 65*t + 184. Calculate the least common multiple of 40 and n(-3).
5560
Let v(k) = -2*k**3 - k**2 + 4*k + 1. Let g be v(-2). Suppose 3*l - 20 = -2*i, -g*i + 1 + 14 = 4*l. What is the least common multiple of l and 9?
90
Let o be 21*6/(-63)*-9. Let n = 6 - o. What is the common denominator of 2/(128/n)*-50 and 37/4?
8
Let w = -1232 - -1238. Let a(x) = 6*x + 1. Let s = 2 - 1. What is the smallest common multiple of w and a(s)?
42
Suppose -o - 2*o = -27. Let p(i) = 2*i**2 + 12*i - 48. Let q be p(-11). Suppose o*u = 46 + q. Calculate the lowest common multiple of u and 22.
132
Suppose -13*g = -10*g - 162. Calculate the lowest common multiple of 21 and g.
378
Suppose 0 = 2*r - 3 - 1. Suppose 31 = 2*u - 5*b, 8*u = 9*u - r*b - 14. What is the least common multiple of (-18)/(-8)*(-16)/(-6) and u?
24
Suppose -10*l + 8*l + 12 = 0. Find the common denominator of l - 1 - 1270/540 and -89/14.
378
Let q(j) = -j**3 + 10*j**2 + 4. Let w be q(10). Let x(z) = -25*z - 3. Let k be x(w). Find the common denominator of -4 + 3 - k/(-18) and -145/12.
36
Let r = 31/1594 - 69047/66948. Calculate the common denominator of r and -139/96.
672
Let g = -22 + 23. Let m = -23093/9 + 2571. Find the common denominator of ((-5)/55)/(-1)*(g + 0) and m.
99
Let r = 16 - 35. Let q = 25 + r. What is the smallest common multiple of q and 16?
48
Let t = 406 + 2014. What is the common denominator of 8449/1870 + 6/33 and ((t/(-6))/5)/8?
60
Let f(r) = 3*r**3 + 2*r**2 - r + 2. Let w(h) be the third derivative of h**4/8 - 17*h**3/3 - 5*h**2. Calculate the smallest common multiple of f(2) and w(18).
160
Calculate the least common multiple of 2 and 2 + (29 - 7) - -2.
26
Let g(i) = 46*i + 1. Calculate the lowest common multiple of g(1) and (225/30)/(-15)*-18.
423
Let q = -15/158 + 4802/237. Calculate the common denominator of (0 + 6)*19/16 and q.
24
Suppose 10*v = 13*v - 2*p - 82, 2*v - 4*p = 68. Suppose 0 = n + 2, -n - 11 = 4*a - 117. Calculate the smallest common multiple of a and v.
216
Let k = -111023/21770 - 2/10885. What is the common denominator of k and 53/8?
40
Let p(j) = 2*j**2 - 2*j + 1. Suppose 38 = -2*v - 5*s, 3*v = -2*v - 5*s - 65. What is the smallest common multiple of p(2) and (-64)/(-11) + v/(-396)*8?
30
Let a be 5 + -3 + 4 + 0. Let h(s) = -s**3 + 7*s**2 + 9*s - 4. Let u be h(8). What is the lowest common multiple of a/4 - (-2)/u and 11?
22
Calculate the least common multiple of (-920)/(-12) - (-6)/(-9) and 4.
76
Suppose 3*y - 8017 = 6*y + b, 2*y = -3*b - 5347. Let n = -1520 - y. Find the common denominator of 109/12 and 1832/n + (-2)/(-9).
48
Let k be 0/(0 - (-2 + 3)). Let p = k - 2. What is the smallest common multiple of 2 and (-2)/p + -3 - -20?
18
Let n = 62 + -94. Let k = -23 - n. Calculate the smallest common multiple of 12/54 - 140/(-18) and k.
72
Let t = 3/1430 - -21079/6435. Let d = -951647/196220 + -1/9811. Calculate the common denominator of d and t.
180
Let b = -22/881 + 42199/31716. Find the common denominator of -23/108 and b.
108
Calculate the least common multiple of 28 and ((-40)/5 + 7)*-98.
196
Suppose 5*d - 1550 = 10*d. Let q = d - -3406/11. Calculate the common denominator of q and 11/7.
77
What is the smallest common multiple of 4 + 0 - 404*3/(-12) and 3?
105
Let r = 5 - 5. What is the common denominator of 1 + 1 + r - -2 and (-1)/(-3) + (-12 - -31)?
3
Suppose -2 = 3*k + 2*c, 10 - 4 = 5*k + c. Find the common denominator of (198/286)/((-1)/(k/(-2))) and (2/(-35))/(2/10).
91
Let h(s) = s**3 + 5*s**2 - 6*s + 2. Let b be h(-6). Let i be (2 - 72) + b*2. What is the common denominator of -23/16 and 6/(-36) + (-206)/i?
176
Let k = -2917 + 70027/24. What is the common denominator of 2/27 and k?
216
Let f(i) = i**3 + 8*i**2 - i - 6. Let l be f(-7). Let t = -15 + l. Find the common denominator of ((-5)/t)/(1/(-33)) and 74/3.
21
Let i = 1980915530/191 - 10371257. Let a be (6/764)/(-2 + -1). Let w = i - a. Calculate the common denominator of w and -19/8.
8
Suppose -15*m = -20*m - 75. What is the least common multiple of 8 and 5/(m/(-72)) - 4?
40
Find the common denominator of -31/110 and (10 - 5)/((-4)/34).
110
Suppose -5*x = -5*l - 150, l - x - 162 = 6*l. What is the lowest common multiple of 20 and ((l/(-3))/(5/(-15)))/(-2)?
80
Let s(u) = u**2 + 4*u - 18. Let v be s(-7). Suppose w - 4 = 0, v*a - 80 - 26 = -4*w. Calculate the smallest common multiple of 24 and a.
120
Suppose -3*g = g - 48. Suppose -2*f + 24 = -4*l, -g - 3 = -2*f + l. Let z = 115 + -109. What is the lowest common multiple of f and z?
6
Let z = -22320 - -3682834/165. Calculate the common denominator of -94/135 and z.
1485
Let g = -39 - -37. What is the common denominator of (-2)/18*(-201)/g and (0 - -1)/((-180)/351)?
60
Calculate the common denominator of -3 + 9 + 10312/(-1840) and -49/253.
2530
Calculate the smallest common multiple of 1 and 68/51 + (-880)/(-6).
148
Let z be 28003/(-24)*(-3)/11. Let m = -3444/11 + z. Calculate the common denominator of (-220)/24 + 4 - 1 and m.
24
Suppose -5*x = -0*x - 80. Suppose -3*y = -5*w - 42 + 11, -x = -3*y + 2*w. Suppose 24 = y*v + 2*v. What is the smallest common multiple of 10 and v?
30
Let k(p) = 2*p. Suppose 5*m + 5*c - 55 = 0, 0 = -4*m - 2*c + 39 + 5. Calculate the lowest common multiple of m and k(5).
110
Suppose -681 - 1431 = -33*l. Calculate the lowest common multiple of 128 and l.
128
Let t = -48 - -57. What is the lowest common multiple of t and 50?
450
Suppose 0 = 2*m - 3895 - 345. Let d = 74945/2 + -35308. Let h = d - m. Calculate the common denominator of h and 37/6.
6
What is the common denominator of 101/10 and 778/224 - 130/455?
80
Let x(r) = -6*r**2 + 89*r + 25. What is the least common multiple of x(15) and 53?
530
Let l = -29 - -31. Suppose 3*w + 11 = l*w + 5*f, -4 = -4*w + 4*f. Calculate the smallest common multiple of w and 4.
4
Let o be 2/10*(-752)/40. Let r = -59/275 - o. Find the common denominator of r and -3/4.
44
Suppose 208 = 4*f - 0*s - 2*s, 5*f - 278 = -2*s. Let k = f - 45. What is the lowest common multiple of 29 and k?
261
Let w = 33/25 + 893/100. Let o be (-220)/(-18) + 6/(-27). What is the common denominator of (-178)/o - 1 - -1 and w?
12
Let v = -259061233557/16186327609400 + -24/61638719. Let j = v + 3/2600. Let b = j + 7079/606. Find the common denominator of b and -43/3.
3
Let v = 1911/68 + -57/17. Let c(w) = w**3 + 6*w**2 + 7*w + 6. Let x be c(-5). What is the common denominator of v and (-1 - x)/(9/(-56))?
12
Let t = 207133/24 + -8634. Find the common denominator of t and -55/18.
72
Suppose 0 = 15*r - 8*r + 728. What is the common denominator of (26/(-8) + 2)*r/300 and 7/12?
60
Let x = -57 + 54. Calculate the least common multiple of 22 and (-4)/(-6)*-22*x/2.
22
Let g(s) = -s**3 + 13*s**2 - 22*s + 10. Let w be (-2)/(-8)*50242/(-4). Let v = w - -3135. Find the common denominator of v and g(11).
8
Let q be (6 + -14)*1/(-2). Suppose -q*l = -0*l - 32. Let p(o) = -o**2 + 12*o - 8. Calculate the smallest common multiple of p(l) and 22.
264
Let n = -2169 + 17379/8. Find the common denominator of (-16230)/1800 - (-2)/20 and n.
24
Let b(w) = 204*w**2 - 4*w - 27. Let m be b(-7). Let k = m + -269971/27. What is the common denominator of k and -79/12?
108
Suppose 0 = -4*k + k - 12, -k = -4*y + 96. Suppose -4*u = 5*s + y, -3*s - 2*s + 2*u - 11 = 0. Calculate the common denominator of 7/10 and 4 + s + 29/(-11).
110
Suppose -5*h + 15 = -4*h. Let s = 35 - h. Suppose 0*i - 2*i = -s. What is the lowest common multiple of i and 1?
10
Let r be (-2)/11 + (-2555)/(-77). Find the common denominator of (-4)/6 + 98/r and -2/15.
165
Let b(d) = -18*d + 255. Calculate the lowest common multiple of b(14) and 97.
291
What is the common denominator of 286/210 + (-134)/(-14) + -9 and (-6)/4 - (-704)/(-33)?
30
Let s = -921730/39 + 23636. Find the common denominator of 93/182 and s.
546
Let x be 53/3 + (-1)/(-3). Find the common denominator of (-222)/(-16)*(-20)/(-270) and ((-3)/15)/(x/335).
36
Let y = 39 + -18. Suppose 0 = -3*o - 63 - y. What is the least common multiple of 1*(o/(-4) + 1) and 2?
8
Let q = 69799 - 17449663/250. Find the common denominator of -11/25 and q.
250
Let z = -18/347 - -19301/4164. What is the common denominator 