Let j be q(-5). Let f(v) = -v**2 + 2*v**3 + 0*v**3 + 3*v**j - v - 2*v**3 + 1. What is the lowest common multiple of 5 and f(1)?
10
Let x = 10 - 6. Suppose q = -4*r - 15 + 42, 4*q = -4*r + 12. Suppose 4*g - r = 2*g. What is the lowest common multiple of g and x?
4
Suppose -3*p + 8 - 2 = 3*h, 4*h = 4*p + 32. Let m = -58 - -103. Suppose h*s + 0*s = m. What is the smallest common multiple of 4 and s?
36
Suppose -4*z - 5*y - 2 + 53 = 0, 0 = 3*z - 2*y - 44. Let m(o) = -o**2 - 7*o + 4. What is the smallest common multiple of z and m(-6)?
70
Let t = 12 + -8. Let p(c) = -c**2 + 8*c + 4. Let v be p(7). Calculate the least common multiple of t and (1 - 4 - -2) + v.
20
Let h(w) = 8*w**2 - 2*w + 1. Let q(p) = -16*p + 227. What is the least common multiple of h(1) and q(14)?
21
Let d(n) = n**3 - 6*n**2 + 5*n + 2. Let v be d(5). Let u be ((-16)/(-12))/(v/36). Suppose -6 + u = k. Calculate the lowest common multiple of k and 14.
126
Let f = -2 - -3. Let y(s) = 11*s. Suppose 0 = -p + 1. Calculate the smallest common multiple of p and y(f).
11
Let q = -13451/4420 + -3/442. What is the common denominator of (-2)/(-6) + (-70)/36 and q?
180
Let c(l) = 3*l**3 + 3*l - 2. Let o(f) = 3*f**3 - f**2 + 4*f - 2. Let z(m) = -4*c(m) + 3*o(m). Calculate the least common multiple of z(-2) and 6.
42
Suppose 16 = 4*r, 0 = 6*j - 3*j - 4*r - 17. What is the lowest common multiple of j and 4?
44
Let z = -499/11 + 4142/77. Let l be 1 - (711/12 + -1). Let r = -107/4 - l. Calculate the common denominator of z and r.
14
Suppose 4*u + 2*u = 282. Calculate the least common multiple of 10 and u.
470
Let j(h) = 13*h**3 + 5*h**2 + 6*h - 5. Let u(g) = -14*g**3 - 6*g**2 - 7*g + 6. Let c(s) = -7*j(s) - 6*u(s). What is the least common multiple of c(-1) and 3?
21
Let j = -610125/8509733 - -1/27719. Let c = -29559/3070 + j. Find the common denominator of c and 59/2 - (-2 - -2).
10
Let g = -10919/3 - -3703. Let z = -55 + g. Let q = 1388 - 13869/10. What is the common denominator of q and z?
30
Let s = -5233/4 - -1315. Let n = 2408611/203 - 11865. Let r = n + 30151/1218. What is the common denominator of r and s?
12
Let t be 2/(-6) - (-70)/246. Let i = 592/369 + t. Find the common denominator of i and (-12)/10 + -13 + 18.
45
Suppose 0 = -j + 3*o + 13, -15 = -3*j + 2*o - o. Suppose -j*d + 43 = -13. What is the least common multiple of 2 and d?
14
Let b = 8 + -7. Let x(r) be the second derivative of r**4/12 + 2*r. What is the smallest common multiple of x(b) and 2?
2
Suppose f = 6*f - 15. Suppose q + 233 = -3*t + 6*t, -f*t = -3*q - 231. Calculate the common denominator of 67/9 and (-1)/(-3 + t/23).
9
Let o = 2 + 2. Let i be (-48)/(-27) + (-2)/(-9). Suppose 0 = -5*l + 5*f + 30, -l + 4*l = i*f + 20. Calculate the least common multiple of o and l.
8
Suppose -3*f = -h + 26, h - 5*f = -2*h + 58. Let w = 6 - 1. Suppose t + 2*t + 29 = w*a, -a = 4*t + 8. What is the lowest common multiple of a and h?
44
Let t(c) = c**3 - 9*c**2 - 11*c + 15. What is the smallest common multiple of t(10) and (4 + -2)/(2/8)?
40
Suppose 3*g + 159 = 2*z, 2*g - 3*g - 79 = -z. Calculate the least common multiple of (-3)/(-15) - z/(-10) and 4.
8
Suppose 16 = -3*w - 14. Suppose 7 = -4*j - 9. Let q = j - w. Calculate the least common multiple of 6 and q.
6
Let r(k) = k + 3*k**2 - 1 + k**3 - 3 + k**2. Let t be r(-3). Find the common denominator of t/(1 - (-130)/(-58)) and 63/10.
90
Let p = -695/4 - -9711/56. What is the common denominator of 113/14 and p?
56
Let k = 6621/22 + -301. Let b = 39883/10 - 3981. Calculate the common denominator of k and b.
110
Let k = 428 + -4273/10. What is the common denominator of k and 115/78?
390
Let l = -5/6 - -2/3. Let v = 10 - 14. Calculate the common denominator of l and 2/24*26*v.
6
Let x(o) be the second derivative of o**5/60 + 8*o**3/3 - o**2 + 2*o. Let j(n) be the first derivative of x(n). What is the least common multiple of j(0) and 6?
48
Let t(w) = -w**3 - 4*w**2 + 7*w + 4. Let l be t(-5). What is the lowest common multiple of 1 and 5/((-15)/(-9)) - l?
9
Let a = 14/879 + -5297789/3516. Let p = -2722 + 1192. Let n = p - a. Find the common denominator of -27/14 and n.
28
Suppose -3*j + 2*w + 60 = 2*j, -5*j = 5*w - 60. Let f be 6/8*(2 + 2). Suppose -f*h + 26 = -2*a, 6*a = a + 25. What is the lowest common multiple of j and h?
12
Let a = -26 - -44. What is the least common multiple of a and 14?
126
Let v = 1 + 3. What is the least common multiple of v and 8?
8
What is the common denominator of -13/8 and 1435/(-1568) + 3/(-7)?
32
Let p(r) = r**3 - 13*r**2 - 10*r - 34. What is the smallest common multiple of p(14) and 11?
22
Let q be 1/2 - 2868/3. Let v = q + 21099/22. Calculate the common denominator of v and (-2 - -8)*(-3)/12*29.
22
Let v(c) = -c**3 - 8*c**2 - 12*c + 14. Calculate the lowest common multiple of 8 and v(-6).
56
Let z = -8 + 11. Suppose 0 = -z*t + 3*w - 6, -5*t + t + 7 = -w. Calculate the lowest common multiple of t and 2.
6
Let y be -2 - (-19725)/9864*1. Let i = 62461/36168 - y. Calculate the common denominator of i and -95/6.
66
Suppose 0 = -5*v - 5, -4*v = -2*s - v + 7. Suppose t + 26 = s*t. Suppose 5*p = -4*r + 19, 0*r - 2*p = -4*r + t. Calculate the least common multiple of r and 8.
24
Let k = 6 + 12. Calculate the least common multiple of 18 and k.
18
Let z = -13 + -8. Calculate the least common multiple of 18 and 3*z/(-9) - 3.
36
Find the common denominator of 27/16 and 3 - 20/48*9.
16
Suppose -5*i + 4*h = -50, 3*i = 7*i + h - 61. What is the least common multiple of 18 and i?
126
Let v = -102974483/58700 + 2/14675. Let t = -3341/2 - v. Let f = t + -70. What is the common denominator of f and -43/3?
12
Let j be (-2)/(8/(-10))*2. Suppose 0 = -2*s - z + 3*z + 8, -j*s + 3*z + 18 = 0. What is the lowest common multiple of s and 6/4*80/12?
30
Let p = 1/3744 + -20177/3744. What is the common denominator of p and -101/24?
72
Let l = 1907/7 - 45383/168. Find the common denominator of -179/60 and l.
120
Let j = 41/6 - 12. Let m = -358275737/123366 - -52/20561. Let r = -2887 - m. What is the common denominator of j and r?
6
Let k be 2/(-9) - (-114)/27. Suppose k*l - 20 = 3*l. Calculate the common denominator of 2/(-6)*222/l and 10/3.
30
Suppose w = -3*w + 4. Let i be (1/(-1) + w)*1. Calculate the common denominator of i + -2 - (-188)/(-20) and -54/11.
55
Calculate the common denominator of (-26)/48 - (-2)/(-12) and 83/30.
120
Let k = 3 + 17. Calculate the least common multiple of 14 and k.
140
Let s(d) = -d**2 - 10*d + 3. Calculate the lowest common multiple of 6 and s(-6).
54
Let r = 139 + -262. Calculate the common denominator of 109/14 and 2/33*r/4.
154
Let i be (-1)/(-2)*-22*-2. Suppose 5*d + 6 + i = 2*j, -2*d = 4. What is the lowest common multiple of j and 7?
63
Find the common denominator of (-61)/32*6*(-3)/(-27) and 8.
48
Suppose -2*b = -9 - 5. Calculate the lowest common multiple of b and 11.
77
Find the common denominator of 3 - 2 - 650/70 and 131/24.
168
Let a = -8 - -16. What is the smallest common multiple of 48 and a?
48
Let m = 11 - -6. Suppose s = 4*x + m, 0 = -4*s + 5*x + 24. Calculate the smallest common multiple of 12 and 15 - (5 + -3 + s).
12
Suppose -3*v - 24 = -0*v. Let i = v - -12. What is the common denominator of i/8*(-4)/10 and 41/11?
55
Suppose -11*x - 6 = -14*x. Suppose -5 = 4*u - 37. Calculate the lowest common multiple of x and u.
8
Let g = 766/407 + 39/74. Calculate the common denominator of g and 13/20.
220
Suppose 6*d = 2*d + 20. Let o(s) = s**2 - 3*s - 4. What is the smallest common multiple of 25*1*(-6)/(-15) and o(d)?
30
Let u(y) = -y**2 + 9*y + 6. Let x be u(10). Find the common denominator of -43/8 and x/(-6)*1005/80.
8
Let v(l) = l**3 + 6*l**2 - 9*l + 6. What is the smallest common multiple of v(-7) and 6?
60
Suppose 0 = -2*o + 6*o + 4*i - 76, -5*o + 92 = 2*i. Suppose -8*s = -5*s - o. Suppose 5*p = 4*p + 6. Calculate the least common multiple of s and p.
6
Let x be 501/5 - 5/25. Find the common denominator of ((-10)/x)/(2/(-248)) and 85/6.
30
Calculate the common denominator of 59/6 and 10/10*3/(-11).
66
Suppose 29 = 3*h - 19. Calculate the smallest common multiple of 2 and h.
16
Suppose 3*f - 11 = 7. Suppose 30 = -5*z - 2*g - 0, 3*g - 6 = z. Calculate the lowest common multiple of (-4)/z*(-1 + 10) and f.
6
Calculate the common denominator 