l(g) = g**2 + 5*g - 5. Let k be l(-6). What is the common denominator of ((-2)/(-4))/((-4)/(-61)) and k/(-2) - (-28)/(-5)?
40
Suppose -7*b + 5*x = -4*b + 38, -2*b - 2*x = 4. Find the common denominator of ((-21)/8)/((-8)/(-16)) and ((-105)/24)/(b/(-8)).
12
Let z(y) = y + y + 2 + 0. Let q = 1 - -1. What is the least common multiple of 7 and z(q)?
42
Let f(x) = -11*x**3 - 2*x - 1. What is the least common multiple of f(-1) and 8?
24
Suppose -2*q + 3 = -q. What is the smallest common multiple of q and 8?
24
Let b(q) = q**2 - 7*q + 7. Let m(a) = a**2 - 5*a + 5. Let h be m(5). Let y be b(h). What is the smallest common multiple of 8 and (5/y)/(9/(-54))?
40
Let n = -1 + 3. What is the lowest common multiple of 4 and n?
4
Let w(z) = z**3 - 5*z**2 - 5*z + 4. What is the lowest common multiple of w(6) and 16?
80
Let g(v) = v**2 - 14*v - 9. Calculate the lowest common multiple of 10 and g(15).
30
Suppose s - 5*s = 0. What is the lowest common multiple of 10 and 0 + 18 - s/(-1)?
90
Let i = -6609/10 + 3283/5. Let b = -47349/14 + 3378. Find the common denominator of b and i.
70
What is the common denominator of (-159)/30 + (-6)/10 and -52/5?
10
Let r = -2/1649 + -44495/23086. Let o = -39849/22 + 1810. What is the common denominator of r and o?
154
Let w = -3 + 0. Calculate the lowest common multiple of (w + 13/4)*4 and 9.
9
Let k(a) = 5*a**3 - 3*a**2 - 6 + 11*a**2 - 5*a**3 - a**3 - 5*a. What is the least common multiple of k(7) and 18?
72
Calculate the lowest common multiple of 0/4 + 7 + -4 and (12/2)/((-6)/(-4)).
12
Let r(x) = 2*x**2 + 2*x**3 - 2*x - 5*x**3 + 4*x + 2*x**3 - 2. Let l be r(-2). Suppose -l = -u - 0*u. What is the smallest common multiple of u and 16?
80
Let d = -10 - -13. What is the smallest common multiple of 11 and d?
33
Suppose 3*q + 1419356831 = -618896926. Let u = q - -3542485040509/5214. Let a = 35/237 + u. What is the common denominator of 13/22 and a?
22
Let i = -92793/16 + 5803. Suppose 5*h + 14 = 3*h. Calculate the common denominator of (-2127)/(-168) + 2/h and i.
16
Suppose 2*k = -k + 9. Let g(r) = r**2 + 4*r + 3. Let l be g(-3). Suppose -3*i = -l*w - w - 6, 4*w = -k*i + 36. What is the lowest common multiple of 6 and w?
6
Let m = -85909/22 - -3904. What is the common denominator of -99/8 and m?
88
Let u(w) = -w**3 + 7*w**2 - 6*w + 4. Let p be u(6). Find the common denominator of -73/10 and 70/p + (-2)/8.
20
Let o = -569 - -4029/7. What is the common denominator of o and 22/5?
35
Let r(b) be the second derivative of b**4/12 - b**2/2 + 5*b. Calculate the smallest common multiple of 16 and r(3).
16
Suppose -4*t + 5*s = -43, 0*s + 4*s - 28 = -2*t. Calculate the least common multiple of 22 and t.
132
Let f = -4 - -6. Calculate the common denominator of 6/8*1360/168 and f/(-1)*(-119)/12.
42
Suppose 0 = -h - 4*t - 4, 0 = -2*h - 3*h + 4*t + 76. What is the smallest common multiple of 18 and h?
36
Let g = 2 - -14. Let f(s) = -s**3 - 12*s**2 - 12*s - 6. Let x be f(-11). Suppose x*l + 2 = 82. What is the lowest common multiple of g and l?
16
Suppose 3*c = -2*c - 2*p + 31, -4*c - 3*p + 29 = 0. What is the smallest common multiple of c and 10?
10
Suppose b = 2*b - 33. What is the least common multiple of b and 3?
33
Let w = 1119/2 + -586. Let r = 38 + w. Find the common denominator of r and -1/2.
2
Suppose 4*l - 69 = 11. Calculate the common denominator of (6/(-36))/(l/606) and -93/8.
40
Suppose -18 = -2*q + 5*j, j + 2 + 2 = 0. Let c(v) = -6*v**3 + v + 1. Calculate the least common multiple of c(q) and 9.
18
Let l = 7 + 4. What is the lowest common multiple of l and 1?
11
Calculate the common denominator of 99/4 and (-1218)/308 - -4*1.
44
Let u = -776/5 - -154. Calculate the common denominator of 12/66 + (-2 - 1) and u.
55
Let f = 510/29 - 3925/116. Let r = 1177 + -6967/6. Find the common denominator of f and r.
12
Suppose 4*l = 6 + 10. Suppose -3*b + 5*v + 7 = 0, 3*v + 22 = l*b - 2. What is the common denominator of -47/4 and 68/b + 1/3?
36
Let v = 4 + 2. Suppose -k + v = -10. Calculate the least common multiple of k and 6.
48
Let u be (-5)/(5/(-9)) + -3. Find the common denominator of 15/13 and (-4)/u*(-477)/(-48).
104
Let h(z) = -z - 1. Let l be h(3). Let y be (l/(-8))/(1/(-20)). Calculate the common denominator of 0 - 77/y - 0 and -55/8.
40
Suppose 2*u - 40 = -0*u. Suppose 4*y + 2 = 2*y. Let s(a) = 10*a**2 + 2*a + 2. Calculate the least common multiple of u and s(y).
20
Let a(c) = -c**2 + c - 25. Let d be a(0). Let z = -18 - d. Suppose 3*p + 12 = 0, 0*i = -i - 2*p - 1. Calculate the least common multiple of z and i.
7
Suppose -4*h + 7 = -r, h + 5 + 6 = -4*r. Calculate the smallest common multiple of h and 5.
5
Let z = -247999/28 + 8859. Calculate the common denominator of z and 9/2.
28
Suppose 4*r + 6 = 2*v, 0*v - v + 15 = 2*r. Let i = v + 5. Calculate the lowest common multiple of 14 and i.
14
Let v be (-1)/(12/(-14) + 1). Let w(p) = -p**2 - 8*p - 3. What is the least common multiple of 11 and w(v)?
44
Let f(d) = -8*d - 6. Calculate the smallest common multiple of 9 and f(-7).
450
Suppose -m = 2*m + 9. Let s be (-19)/m + 2/(-6). Find the common denominator of 33/4 and (-387)/s*1/(-12).
8
Let n be ((-138)/(-3))/(4/(-98)). Let l = 4533/4 + n. What is the common denominator of 61/6 and l?
12
Let m = -13 - -21. Calculate the least common multiple of 8 and m.
8
Let s be (20/(-25))/(2/(-5)). Suppose -k = k + s*o - 12, -2*k + 6 = 5*o. Calculate the smallest common multiple of 8 and k.
8
Let p = -4 + 5. Let q = p - -3. Suppose i - 23 = -d, -4*i + 27 - 1 = d. What is the lowest common multiple of d and q?
44
Calculate the common denominator of -33 and 4/22 - 456/330.
5
Find the common denominator of 113/18 and -1 - 147/10 - -4.
90
What is the common denominator of -7/30 and 4 + -3 + 1 - 205/105?
210
What is the common denominator of -38/11 and (103/(-12))/(1/(-2))?
66
Let i(d) be the third derivative of 7*d**4/24 - 7*d**3/6 + 3*d**2. Let h be i(-8). Calculate the common denominator of 31/10 and (-1)/2 + (-77)/h.
90
Let w(x) = x**3 + 4*x**2 + 1. Let a(n) = -n**3 + 7*n**2 - 7*n + 3. Let i be a(6). Calculate the least common multiple of w(i) and 18.
90
Let x be (-3205)/((-3)/(-1) - 2). Let r = x + 64077/20. What is the common denominator of r and -27/10?
20
Let a be 4 - (6 + -1 + -3). Suppose -a - 1 = -u. What is the lowest common multiple of 2 and u?
6
What is the least common multiple of -3*(3/(-9))/((-4)/(-36)) and 132?
396
Let j(d) = 14*d + 6. Let y be j(-6). Find the common denominator of 3/2 and ((-1)/4)/((-4)/y).
8
Let d = 9 - 13. Let q(f) = -2*f. What is the least common multiple of 6 and q(d)?
24
Let k = 6 - -4. Calculate the common denominator of (-21)/(-70)*230/24 and (231/12)/(k/(-4)).
40
Suppose 6*r - 4*r = 36. Calculate the common denominator of 3/4*332/r and 30/7.
42
Find the common denominator of 254/(-20) - (-4)/2 and 87/2 - 0/(-3).
10
Let d(q) = -q**3 + 5*q**2 + 8*q - 7. Let z be d(6). Suppose 0 = -z*n + 60. Suppose 0 = -3*v + n + 24. Calculate the lowest common multiple of 22 and v.
132
Let z(k) be the first derivative of k**4/4 + k**3/3 - k**2/2 + 6*k - 2. Suppose -4 - 6 = -r. Calculate the lowest common multiple of z(0) and r.
30
Let x(i) = -7*i**2 + i**2 + 0*i**2 - i**3 + 4 - i**2 + 10*i. Let n be x(-8). Calculate the common denominator of -118*(-2 - -3)/n and 123/10.
30
Let l = 355 + -1021/3. Find the common denominator of (-26)/(-6)*(0 - 45/(-55)) and l.
33
Let k = -8 - -5. Let u(t) be the second derivative of t**4/12 - t**3/6 + 2*t**2 - t. What is the lowest common multiple of 18 and u(k)?
144
Suppose n - 112 = 46. Find the common denominator of (-12)/(-16) + n/32 and (6 + 3)/(-1 + 3).
16
Calculate the lowest common multiple of 10 and (-4)/((-1)/((-21)/(-6))).
70
Let w = -1 + 3. Suppose 4*o - w = 2*o. What is the least common multiple of o and 10?
10
Let s(v) = -v**2 - 5*v + 8. Suppose 9*u - 2*u - 21 = 0. What is the least common multiple of u and s(-6)?
6
Let m be (1 - -2)*20636/42. What is the common denominator of (m/(-24))/(-11) + 1 and 45/22?
132
Let j be 14/2*12/7. Suppose h + 2 = 3*f, -h = 4*f - 0*h - j. Calculate the least common multiple of 9 and (f + 1)/3 + 0.
9
Let l(n) = -15*n**2 + n. Let p be l(-1). What is the common denominator of 25/3 and (-744)/p*(-2)/12?
12
Suppose 3*l = -0*l + 666. Let d = 3/254 + 93