**2 - 4*x - 2. Let y(c) = 2*c**3 + 3*c**2 - 3. Let z be y(-2). Let m(w) = -w - 3. Let b be m(z). What is the least common multiple of 8 and o(b)?
56
Suppose 1081 = 3*d + 5*p, 5*d + 6*p - 9*p = 1745. What is the smallest common multiple of 224 and d?
2464
Suppose 0 = 5*m, -o + 160 = o + m. What is the common denominator of 169/o - (-2)/10 and ((6/(-15))/1)/(64/(-1180))?
16
Let f = -26 - -75. Suppose n + 43 = f. Calculate the lowest common multiple of 8 and n.
24
Let d = 2/9797 + 519223/88173. Find the common denominator of -23/18 and d.
18
Calculate the common denominator of -19/8 and (8 - 76/8)/((-411)/(-47)).
1096
Suppose 2*i = 5*h + 26 - 4, -4*h = -5*i + 21. Suppose n - 5 = -i. Suppose p + 0*p - 1 = 5*v, -n*v - 14 = -3*p. What is the least common multiple of p and 18?
18
Let c(u) = u**3 - 3*u**2 - 19*u + 14. Calculate the lowest common multiple of c(6) and 917.
7336
Let m be 12/14*(-14)/(-3). Suppose 0 = 2*a + 4*f - 72, -155 = -a - m*a - 5*f. Suppose -s = 4 - a. What is the least common multiple of s and 6?
66
Find the common denominator of -19/77 and (1 - 66/(-105)) + 10/35.
385
Let d = -186 + 190. Calculate the least common multiple of 598 and d.
1196
Let r = 11 + 385. What is the least common multiple of 264 and r?
792
Suppose -4*i - 40 = -4*q, -30 = -4*q - i + 30. Let z = -5 + 10. Suppose -5*n + 29 = z*u + 4, 15 = 5*n. What is the lowest common multiple of u and q?
14
Let z(y) = y**3 - 13*y**2 + 16*y - 30. What is the least common multiple of 36 and z(12)?
36
Let s(f) = 21*f - 54. What is the smallest common multiple of 66 and s(4)?
330
Let f = 153/28 - 2417/140. Find the common denominator of 16/11 and f.
55
Suppose 0 = -5*v - 51 + 71. Suppose 100 = 5*k - v*j, 4*j + 28 = 2*k - 0*k. What is the lowest common multiple of 4 and k?
24
Let z = 28 + 1. Suppose 46 = 5*s - z. Calculate the least common multiple of 33 and s.
165
Suppose -5*r + 7*r - 38 = 0. Suppose -17*h + r*h = 0. Suppose -x = -h*x - 11. What is the least common multiple of x and 2?
22
Let n be 2212/(-16) - 9/12. Let t = n - -535/4. What is the common denominator of t and -83/2?
4
Suppose -83 = 5*a - 43. What is the smallest common multiple of (-134)/(-16) + 3/a and 3?
24
Let w = 40 - 36. Calculate the smallest common multiple of 5 and 3/((1/w)/((-1)/(-6))).
10
Let u(q) = -q**2 - 6*q + 33. Find the common denominator of -73/4 and u(-11).
4
Find the common denominator of 1515/(-42) + (-3)/7 and 12/115.
230
Let l(c) = c**3 - 13*c**2 + 14*c - 16. What is the least common multiple of (-31 + 9)*(-1)/(4/8) and l(12)?
88
Suppose -4*f - 2*d + 160 = 0, -5 + 125 = 3*f + 3*d. Calculate the smallest common multiple of 31 and f/(-4)*1/(-2).
155
Let p = 87 - 85. Suppose 0 - 10 = -p*l. Calculate the smallest common multiple of l and 4.
20
Suppose -79*z - 6006 = -92*z. Calculate the smallest common multiple of 22 and z.
462
Let u = 12 + -6. Let q(p) = -2*p**2 - 4*p - p - 2*p**3 - 4 - p + 5*p. What is the least common multiple of q(-2) and u?
6
Let d be -3*(-3 - 69/(-9)). Calculate the common denominator of 37/14 and ((-87)/d)/(30/(-21)).
140
Let v(l) = -l**2 - 5*l + 7. Suppose -6 + 17 = d. What is the smallest common multiple of v(-5) and d?
77
Let p(z) = -z**3 + 5*z**2 + 3*z + 2. Let d be p(6). Suppose 0 = 2*h - 4*u + 4, 4*u = -2*h + h - 8. Calculate the lowest common multiple of 6 and 1*12/(d/h).
6
Let b be (-34)/(-12) + 3/18. Let h = b - 9. What is the lowest common multiple of 6 and (h/9)/((-6)/27)?
6
Suppose -20 = -5*k - 15. Suppose -g + 2*g + 5*t + k = 0, -5*t = 10. What is the common denominator of -27/10 and g?
10
Let n = 12 - 2. Suppose -4 = -q + n. What is the lowest common multiple of 8 and q?
56
Let n = -2717/4 + 654. What is the common denominator of 77/46 and n?
92
Let u(g) = -6*g - 6. Let p be u(5). Let d be ((-3)/p)/(15/(-1418931)). Let i = d + 7886. Calculate the common denominator of -103/20 and i.
20
Let m = 927 - 4614/5. Find the common denominator of m and 6/2 - 62/3.
15
Let q = -1438/1931061 - -3/1793. Let a = q + -15439/2154. Find the common denominator of 79/8 and a.
24
Let c = 41558960407/3729710952 + 4/4709231. Let i = 23/99 + c. Calculate the common denominator of -89/18 and i.
72
Let c = -1924/5 + 15227/40. Let h = 2789/355 - 4/71. Calculate the common denominator of h and c.
40
Suppose -3*l + 12 = -2*l. Suppose -3*j = -2*b + 7*b - 51, 5*b - 63 = j. Calculate the least common multiple of l and 16/3 + b/18.
12
Let b = 2 - 2. Suppose 2*k + b*k - 14 = 0. Suppose 110 = 8*q + 6. What is the least common multiple of q and k?
91
Let q = 5910/13 + -117537/260. Let l be ((-1)/(-2))/((-1)/(-30)). Calculate the common denominator of q and (1/l)/(2/(-111)).
20
Let j = -6234 + 99801/16. Calculate the common denominator of 2/(-6) - 349/60 and j.
80
Suppose 2*r + 4*c = -3*r + 13937, 2*c + 13919 = 5*r. Let a = -44483/16 + r. Find the common denominator of -74/9 and a.
144
Let y = 1159 - 336109/290. Calculate the common denominator of -95/174 and y.
870
Suppose -4*f - 64 = m - 145, 236 = 3*m + 5*f. Calculate the smallest common multiple of 35 and m.
385
Suppose 195 = 4*s + s. Suppose 5*a - s = -4*o + 2*o, 3*o + 3*a - 63 = 0. Let d = o - 2. Calculate the smallest common multiple of d and 2.
20
Let t = -1329 + 1569. What is the smallest common multiple of 14 and t?
1680
Suppose -x - 6 = -3*d + x, 5*x + 6 = 3*d. Suppose -2*o + 4 = -16. What is the least common multiple of o and d?
10
Let u = 7781483/175 + -44469. Let m = -44/25 + u. What is the common denominator of (24/132)/((-2)/5) and m?
77
Let c = -7010 + 11390. Let u be c/(-16) - (-2 - -4). Let n = -274 - u. What is the common denominator of n and -3/4?
4
What is the common denominator of 53/200 and ((-142)/(-5))/((-10)/(-25) - 2)?
200
Suppose -2*l - 10 + 46 = 0. Let v(m) = -m**3 - 15*m**2 - 28*m + 12. Let w be v(-13). Let j = w - l. Calculate the smallest common multiple of j and 22.
220
Suppose -k + 5*r + 30 = 0, 4*k + 3*r = 6*k - 32. Calculate the least common multiple of (-4 + (-1 - -3))/(-1) and -6*(2 - k/3).
8
Suppose h - 3*k + 9 = 0, 18*h - 13*h = k + 25. Suppose -f + 12 = 1. What is the least common multiple of f and h?
66
Let k be -5 + (-1)/(1/(-49)). Suppose 8 = -k*n + 48*n. Calculate the smallest common multiple of n and 11.
22
Find the common denominator of (100 - 5)/(141 - -1) and 82/15.
2130
Suppose 8*j - 199 = 817. Let o = 130 - j. What is the smallest common multiple of 3 and o?
3
Let s = -84 + 90. Let o(v) = 3*v**2 - 8*v. Let l(y) = -y**2 - 1. Let z(w) = -2*l(w) - o(w). What is the lowest common multiple of 5 and z(s)?
70
Let i = -28/93 + 4837/930. Find the common denominator of i and 8 - (-3)/((-567)/2030).
270
Suppose 4*g - 3*g - 4*r - 2 = 0, 3*g + 5*r = 23. Suppose 4*q - 2*y = 24, -69*q = -71*q + 3*y + 12. Calculate the smallest common multiple of g and q.
6
Suppose l - 62 = 2*u, 2*l + 4*u + 22 = 178. What is the least common multiple of 20 and l?
140
Let w = -4335038/1989 + 28338/13. What is the common denominator of 5/57 and w?
2907
Let b(g) = 1 + 3 - 5 + 2*g**2 + 5*g + 2*g. Suppose 3*j = -2*j + 50. What is the smallest common multiple of j and b(-5)?
70
Let j be 5/1 - (0/(-1) + -2). Suppose -c = -j + 5. Calculate the smallest common multiple of 106 and c.
106
Let b be 1*-4*(-4)/((-52928)/(-12)). Let f = b + 50327/33080. What is the common denominator of -61/8 and f?
40
Let o be 89205/(-5810) + 4 + 4. Let m = o - 2/581. Calculate the common denominator of -65/6 and m.
42
Calculate the common denominator of (-579)/252 + ((-56)/49)/4 and 17/1110.
2220
Suppose 2*l - 5*w - 46 = 0, 2*w - 136 = -5*l + 37. What is the least common multiple of 18 and l?
198
Let b = -3 - -3. What is the common denominator of b + ((-71)/(-30) - -1) and 1020/(-40)*(-1)/3?
30
Let m be ((4 - 5) + 3)/2. Let h(t) = -t. What is the smallest common multiple of h(-6) and (18/(-12))/(m/(-28))?
42
Suppose 4*n - n + 3*a = -36, -4*n - 54 = a. Let p = n + 21. What is the lowest common multiple of 10 and p?
70
Let n = 4329/5 - 17761/20. Suppose -h + 838 = -2*h. What is the common denominator of n and h/36 + 12/(-54)?
4
Suppose -16 = q - 2*g, -3*q - g - 4 = 9. Find the common denominator of (-149)/q - 12/9 and ((-23)/(-3))/((-3)/(-6)).
6
Let x = -57 - -101. Let k = 62 - x. What is the least common multiple of 4 and k?
36
Let r = -325 + 337. Calc