k(q) = -2*q - 2. Let w(r) = r**3 + 4*r**2 - 2*r - 5. Let s be w(-5). Let h = s + 21. Calculate the lowest common multiple of k(-3) and h.
4
Let y(h) = h**2 - 6*h + 4*h**2 + 5*h. Suppose -3*f + 20 + 22 = 0. What is the least common multiple of y(-2) and f?
154
Let h be (-4)/10 - 3362286/593760. Let z = -1/4948 - h. Calculate the common denominator of -67/22 and z.
176
Let i = -1 + 3. Suppose -u - 18 = -5*m + 3*u, 2*m = i*u + 6. What is the smallest common multiple of m and 5?
30
Suppose 0*d = 2*d. Suppose p = -d - 7. Let t(h) = -h - 2. Calculate the smallest common multiple of 3 and t(p).
15
Let p(a) be the second derivative of 7*a**2 + 2*a + 1/6*a**3 + 0. Calculate the smallest common multiple of p(0) and 16.
112
Let x = -8374 - -200851/24. What is the common denominator of -9/14 and x?
168
Let b(j) = -j**2 - 7*j - 2. Let w = -8 - -5. Let t = 41 - 27. Calculate the least common multiple of b(w) and t.
70
Suppose -2*f - 7*t + 17 = -4*t, -2*f = 5*t - 15. Calculate the smallest common multiple of 3 and f.
30
Suppose 0 = 3*j - 6*j + 3. What is the smallest common multiple of 11 and j?
11
Let p(t) = 2*t**2 + 8*t + 13. What is the lowest common multiple of 27 and p(-3)?
189
Let i = -405/19 - -1157/114. Let q = -3/220870 - -477554072/110435. Let f = -4328 + q. What is the common denominator of i and f?
30
Suppose r = 2 + 1. Suppose r*c = 5*v - 25, -4*v - 4 = -v + 2*c. What is the common denominator of v/(-2)*(-22)/(-9) and -67/6?
18
Suppose 2*b + 4*q - 29 - 7 = 0, 3*b = -2*q + 62. Let c be (b/(-4))/((-2)/(-8)). What is the smallest common multiple of (-3 + 4)/((-2)/c) and 11?
11
Let c(o) = o**3 - o**2 - 21. Let k be c(0). What is the common denominator of 9/11 and 46*(1 + k/24)?
44
Let r(y) = y - 3. Let o be r(-9). Let t = 15 - 25. Find the common denominator of -91/20 and (t/o)/((-8)/30).
40
What is the common denominator of 1/(2 + 70/(-26)) and (20/36*2)/((-8)/(-138))?
18
Calculate the common denominator of 116/12*(-6)/20 and (-46)/(-4) + 4/(-6).
30
Let z = -202077/62 - -3260. What is the common denominator of -89/10 and z?
310
Let m be (3/(-9))/(2/(-12)). Let s(o) = -3 + 3*o**2 - 3*o**2 - o**m + 2*o**2. What is the least common multiple of 16 and s(5)?
176
Let w = -3 - -5. Suppose 2*u - 13 = -57. What is the common denominator of -79/22 and 0/w + 29/u?
22
What is the lowest common multiple of 19 and (-2*1)/(4 + 9/(-2))?
76
Let o be 2 - (-2 + -1 - 0). Suppose -3*u - 10 = -o*z, 2*z + 6 = -u + 5*z. Suppose u*m + 3 = -m, 3*h - m = 33. What is the smallest common multiple of h and 16?
80
Let j = -6/34867 - 11470463/4532710. Let p = 2/65 + j. What is the common denominator of -107/10 and p?
10
Let a(g) = g + 135. Let v be a(0). Let j = -22 + v. What is the common denominator of -59/16 and 3 - j/10 - -3?
80
Let x = 2 - 2. Let a = x + 8. Calculate the smallest common multiple of a and 6.
24
Let r = 191/18 - 10/9. Calculate the common denominator of r and 53/8.
8
Let o = -9683234053/38 + 254806776. Let y = o + 15174. What is the common denominator of 41/10 and y?
190
Suppose -12*a + 16*a - 28 = 0. Let u(w) = w + 5. What is the lowest common multiple of u(5) and a?
70
What is the least common multiple of ((-267)/9 + -1)/(14/(-21)) and 16?
368
Find the common denominator of (-146)/8 + 2 - 1 and (-2)/10 - (-62)/(-90).
36
Let t = -3570 - -71417/20. What is the common denominator of (3/30)/((-3)/(-87)) and t?
20
Let v(p) = -2*p**3 - 2*p**2 + 4*p + 3. Let u be v(-3). Let k be 2/(1/((-3)/(-2))). Calculate the common denominator of ((-9)/(-6))/k*u and -1/8.
8
Suppose 2*h + 2*h - 5*t = 95, 0 = 2*h + 2*t - 70. What is the lowest common multiple of 30 and h?
30
Let q(k) = 4*k - 5. Let c(j) = -10*j**2 + j + 2. Let i be c(-1). Find the common denominator of 18/11 and q(i).
11
Let z(c) = 5*c**3 - 1. Let v be z(1). Suppose 114 = 5*u + v. Let b(w) = -w**2 - 6*w + 4. Calculate the least common multiple of b(-4) and u.
132
What is the common denominator of 45/(-24) - 6 - 4 and 0 - 0 - 194/(-28)?
56
Let d = 2 + 1. Calculate the common denominator of 139/6 and ((-28)/264)/(d/45).
66
Let x = 1693946 - 396386065/234. Let p = x + 171/13. Find the common denominator of -17/22 and p.
198
Let v = 2665 - 15953/6. Let n = 419701963/124610205 + -1/361189. Let i = n - 4/115. Calculate the common denominator of v and i.
6
Let a = -17158619/9 - -1899460. Let y = -7061 - a. Find the common denominator of ((-186)/(-32))/((-36)/24) and y.
72
Let j = 2426 + -19505/8. What is the common denominator of j and -57/4?
8
Let w = -2/61577 - -3053849756/554193. Let t = 5516 - w. Calculate the common denominator of 15/11 and t.
99
Let y be (-2)/(-11) + (-2396)/(-11). What is the common denominator of (-6)/4*150/(-108) and y/(-168) + (-2)/7?
12
Suppose 2*i = -h + 17, 3*i + 0 = 2*h + 8. Let z be 6*(3/i - 1). Let m = 2 - z. What is the smallest common multiple of m and 8?
40
Suppose -4*z - q + 238351 = -844722, 4*z - 4*q = 1083068. Let k = 17871197/66 - z. Let v = k - -136/33. Find the common denominator of v and -101/4.
12
Suppose 0 = -2*j + j + 2. Suppose 0*n = j*n + 412. Find the common denominator of 2 + n/4 + -1 and 91/6.
6
Suppose 0 = 4*f - 0 - 24. Let p(c) = c**2 + 6*c - 5. Calculate the least common multiple of p(-7) and f.
6
Let b = -93 - -98. Suppose 2*i = -3*a + 24, -a + 4 = 2*i - 0*i. Calculate the lowest common multiple of a and b.
10
Let j(l) = -l**3 - 5*l**2 + 4*l - 8. Let k be j(-6). Suppose 2*y + k*g - 36 = 0, y + 51 = 6*y - 3*g. What is the lowest common multiple of 22 and y?
132
Suppose -103085940 + 287640996 = 3*g. Let v = 116269676063/1890 - g. Let x = 7/135 - v. Calculate the common denominator of x and 67/14.
14
Suppose -86 = -15*o + 364. Calculate the least common multiple of o and 33.
330
Let d = 4627/408 + 40/51. Find the common denominator of d and -57/22.
88
Suppose -19 = 5*o - 4*d - 80, 41 = 5*o + d. What is the smallest common multiple of 15 and o?
45
Let j = 8 - 5. Let r = -117 - -124. What is the least common multiple of r and j?
21
Suppose -2*r = l - 6, 4*r + 6*l = 5*l + 14. Suppose 0 = 6*f - f + 4*h + 11, 4*f = -h. Let z = f + 5. Calculate the least common multiple of r and z.
12
Suppose -3*k = -2*n - 2*k + 95, 0 = 2*n - 4*k - 98. What is the least common multiple of 9 and n?
423
Suppose -2*y + 18 = -0*y. What is the lowest common multiple of 6 and y?
18
Let t(h) = -2*h**3 - 3*h**2 - h. What is the least common multiple of t(-2) and 9?
18
Suppose 4*m + u = 3*m + 59218206, -236872824 = -4*m - 3*u. Let c = m + -1302485059/22. Let a = -14336 + c. Find the common denominator of a and 73/16.
176
Let a = 2056 + -1314. Let z = a + -11863/16. Calculate the common denominator of z and -149/12.
48
Suppose v = 3 + 1. Suppose -v*j - 4 = 8. What is the common denominator of -99/2 and (-69)/(-10)*j/6?
20
Suppose -5*o = -5*w - 20, 20 = 3*o + 2*w - 2. What is the smallest common multiple of o and 18?
18
Suppose 5*z = -0*z + 30. Suppose -z*v + 3*v + 12 = 0. What is the least common multiple of 8 and v?
8
Calculate the common denominator of 4/22 + 555/154 and -79/38.
266
Suppose -h + 12 = -28. Let j = 60 - h. Calculate the lowest common multiple of 7 and j.
140
Let f(k) = 2*k**2 + 2*k - 9. Let y be f(-9). What is the lowest common multiple of (-3)/(-12) - y/(-20) and 8?
56
Let t = 1/51 + -1991/102. Suppose -2*x + 35 = -4*j - 5*x, 0 = 5*x + 5. Find the common denominator of t and 1/2*(-130)/j.
8
Let l(z) = z**3 - 8*z**2 + 6*z + 9. Calculate the smallest common multiple of l(7) and 9.
18
What is the least common multiple of 1/(-5) - -61*5/25 and 8?
24
Suppose 7*f - 4*f - 33 = 0. Calculate the lowest common multiple of f and 5.
55
Suppose 0 = -y + 2 - 22. Calculate the smallest common multiple of 12 and ((-12)/(-5))/((-6)/y).
24
Let j(n) = -n**2 + 4*n + 1. Let f be j(5). Suppose -3*m + 0*m + 27 = 0. Calculate the smallest common multiple of 16 and 3/(f/((-120)/m)).
80
Let q = 5 - -5. Suppose -5*r + q*r - 15 = 0. Suppose -2*g + 3 = -9. What is the smallest common multiple of g and r?
6
Let a(i) = i - 2. Let o be a(0). Find the common denominator of (388/12)/(4/o) and -10/9.
18
Suppose 2*j - 12 = -0*j. Calculate the smallest common multiple of 7 and j.
42
Suppose -78 = 2*g - 4*f, 3*g - 3*f + 3 = -108. Let w = 63 + g. Suppose -5*m + 104 = -3*q, 4*q - q = -m + w. Calculate the lowest commo