132
Let z(m) = -m**3 - 7*m**2 - 6*m + 4. Let y be z(-6). Suppose b = 0, b = -y*v + 6*v - 16. What is the least common multiple of 11 and v?
88
Let b = 1 + 2. Find the common denominator of -46/3 and b/(-6)*142/4.
12
Suppose -7 = -5*d + 3*o, -2*o = d - o - 3. Suppose s = -2*z + 3, s - 8 = z - d. What is the lowest common multiple of s and (-45)/(-6) - (-1)/2?
40
Let v = -10 - -30. Let y(i) = -17*i**3 - i. Let h(p) = -p**2 - 5*p - 5. Let t be h(-4). Calculate the lowest common multiple of v and y(t).
180
Suppose -5*y - 16 = 24. Find the common denominator of (y/18)/(2/21) and (2/(-3))/((-6)/(-177)).
3
Let u = -2 - -3. Let r(d) = d - 1. Let b be r(u). Suppose w + b*w + 3 = 2*h, -5*w = 5*h - 15. What is the least common multiple of 8 and w?
8
Suppose 0 = 9*d - d - 144. What is the smallest common multiple of d and 20?
180
Let d(v) = v**2 - 8*v - 4. Let l be d(9). Suppose -5*f + l = -0*f. Calculate the smallest common multiple of f and 5.
5
Let h be 1/(3/(10 - -2)). Calculate the smallest common multiple of (1 - (1 - 3))*2 and ((-8)/6)/(h/(-48)).
48
Let h be (-2)/5 - (-2758)/(-5). Let p be h + (-5)/((-5)/2). Find the common denominator of ((-2)/5)/(48/p) and -1/2.
12
Let p = 78 + -64. Suppose -2 + 12 = -5*x + 5*k, 4*k = x + 14. Suppose 16 = 3*j + 2*a, x*j + 2*a - 5*a = -11. Calculate the smallest common multiple of p and j.
14
Let n be -1 - -2 - 54123/(-2664). Let s = -5/296 - n. Calculate the common denominator of (3/24*-158)/(10/5) and s.
24
Let u = -3/13064 + -2717267/195960. Let f = 10867 - 108763/10. Let x = u + f. Find the common denominator of -107/20 and x.
60
Suppose 6 = a + h - 5, 4*h + 4 = 4*a. What is the common denominator of 201/12*(-8)/a and -9/10?
30
Let v(w) = -w**2 + 10*w + 15. Let f(i) = 5*i**2 + 2*i + 1. Calculate the lowest common multiple of f(-1) and v(11).
4
Find the common denominator of 102/(-8)*14/30 and 67/10.
20
Let s(i) = -i**2 + 5*i + 1. Let z be s(4). Suppose -3 - z = -k. Suppose 2*b = 32 - k. Calculate the lowest common multiple of 22 and b.
132
Suppose -33 = -3*w + 3. Calculate the least common multiple of w and 14.
84
Suppose -6*u + 10*u - 24 = 0. Calculate the lowest common multiple of 66 and u.
66
Suppose -6 = -3*o - 0. Calculate the common denominator of 53/3 and o/(32/222) - 2.
24
Suppose -13 = 3*j - 2*b + 5, 0 = b. Let l = j + 9. Calculate the lowest common multiple of 10 and l.
30
Let r = -8 + 19. What is the lowest common multiple of 18 and r?
198
Let i = -50/399 + 2336/19551. Let j = -1390/3087 - i. What is the common denominator of (-594)/70 + (-6)/(-21) and j?
45
Let g(f) = f - 9. Let x be g(10). Calculate the common denominator of 9/(x*3/(-15)) and 41/2.
2
Suppose x = 5*x - 16. What is the lowest common multiple of 8 and x?
8
Let k(x) = 6*x**2 + 2*x. Suppose 2*l - 50 = -4*t + l, t = -3*l + 18. Calculate the lowest common multiple of t and k(-2).
60
Let i(r) = r**3 + 6*r**2 - r + 4. Let s = 16 + -34. Let t = 12 + s. What is the lowest common multiple of 9 and i(t)?
90
Let k = 87 + -73. Suppose 15 = -2*t + 3*q, q + 10 = -t + 3*q. Suppose -53 = -6*a + a - i, t = a - 3*i - 1. Calculate the lowest common multiple of a and k.
70
Let t(p) = -p**3 - 6*p**2 - p + 5. Let j(f) = -f + 2. Let o be j(2). Let x(i) = i - 6. Let l be x(o). What is the least common multiple of t(l) and 4?
44
Find the common denominator of 201/60 - (-12)/20 and (-15)/(-2)*10/14.
140
Suppose z - 27 = -4*k + 13, z - 49 = -5*k. Suppose 0 = 2*g - 6*g - p + 23, 3*g = 2*p + 31. Calculate the lowest common multiple of g and k.
63
Let l = 6 + -4. Let s(r) = 4*r - 1. Let p be s(l). Find the common denominator of (-141)/42 - 2/p and 41/10.
70
Let v(r) = -r**2 - 5*r + 5. Let g be v(-5). Let o = 7 - g. Suppose -o = 3*j + 4, -j + 2 = z. What is the lowest common multiple of z and 12?
12
Let c be ((-4)/(-10))/(3/(-15)). Let t = -51657/16 - -3230. Find the common denominator of (-300)/(-16) + c/(-2) and t.
16
Let o(y) = -2*y - 9. Let f be o(-7). Let k = f - 5. Let u = 4 - k. What is the least common multiple of 5 and u?
20
Let a = 313 - 174. Calculate the common denominator of 6/5 and a/(-30) - 1/(-2).
15
Let d(h) = h - 1. Suppose -5*l + 5*k + 20 = 0, 0*l = 3*l - 2*k - 12. Let r be d(l). What is the least common multiple of (-7)/(1*r/(-6)) and 6?
42
Suppose -q = -4*l - 16, l + 2*l = 3*q - 12. Let w = -2 - -1. Find the common denominator of 77/10 and 10/(-24) + (w - l).
60
Let l(g) = -g + 7. Let o be l(8). Let t = 35663/16 + -2235. Find the common denominator of t and o*(50/6 + -2).
48
Suppose 0 = 3*o + 3*y + 6, 5*y + 10 - 40 = 5*o. What is the common denominator of 14 and 25/12 + 2 + o?
12
Let i(u) = u**2 - 2*u. Let s = -2 + 9. Let h be i(s). Suppose -5*r + 8 + 52 = 2*k, r = -5*k + h. What is the lowest common multiple of 2 and r?
10
Let g(c) = -2*c + 10. What is the common denominator of 81/4 and g(-5)?
4
What is the lowest common multiple of (2/(-3))/((-4)/(-18)) - -9 and 120?
120
Let b = 1 - 3. Let j be ((-12)/(-2))/((-3)/b). Suppose -j*q - 11 = 3*v, 7*q - 30 = 2*q + 5*v. Calculate the least common multiple of q and 11.
11
Let w = 11563/6 - 1936. Calculate the common denominator of -43/6 and w.
6
Let o = -280/117 - -55897/819. Let q = o + -863/14. Find the common denominator of q and (536/(-36))/(((-12)/(-9))/1).
42
What is the least common multiple of 5 and 2/(-5) + 57/5?
55
Let s be ((-4)/(-6))/(4/(-6)). Calculate the common denominator of -83/20 and (((-330)/(-4))/5)/s.
20
Let k(o) = -o**3 + 3*o**2 + 2*o - 2. Let h be k(3). Let s = h + 5. Calculate the smallest common multiple of 10 and s.
90
Let h(m) = -m**2 - 7*m + 4. Let u be h(-7). Suppose u*z + 16 = -0*z. Calculate the common denominator of 54/5*1/z and -69/2.
10
Let l = 18 - 18. Find the common denominator of 48/7 and l.
7
Let d = 6 + -8. Let p(w) = 4*w**2 - w + 2. Calculate the least common multiple of p(d) and 18.
180
Let q = 48 - 21. Suppose 71 = 4*k + q. Suppose 2*i - 34 = 4*g, -3*g - k = 2*i + 2*g. What is the smallest common multiple of i and 5?
35
Suppose -2*g - 3*y = -3*g + 8, 0 = 5*y. What is the lowest common multiple of 22 and g?
88
Let j = 13783542 + -19228044619/1395. Let c = j + -4/155. What is the common denominator of 89/6 and c?
18
Let b(i) = i**3 + 9*i**2 + 16*i + 4. Suppose -3*c - 14 + 44 = 0. What is the smallest common multiple of b(-6) and c?
80
Let n = 21 + -7. Calculate the lowest common multiple of n and 16.
112
Let y = -2/5337 + 464359/106740. What is the common denominator of y and -1 + (-363)/60 + 1?
20
Suppose 4808 - 795 = -5*v + 4*a, -3226 = 4*v + 2*a. Let b = v + 4012/5. Let s = 21251/457 + -1/914. Find the common denominator of s and b.
10
Let x = -174 + 124. Let m = -34 - x. What is the lowest common multiple of m and 45/(-6)*8/(-10)?
48
Suppose -3*s + 4*r = -8, 4*s - 1 = 5*s - 5*r. Let z = 29 + -9. Calculate the least common multiple of z and s.
20
Suppose -4*k + 2*k = 550. Calculate the common denominator of 63/(-42) - (-92)/(-6) and -4*(k/16)/5.
12
Let b(w) = -5*w - 1. Let z be b(-1). What is the least common multiple of z*4*(-4)/(-64) and 9?
9
Let x be (4 + 14)/(-1 + 0). Calculate the common denominator of 4/x + (-1328)/504 and -40/7.
7
Let k = 130579/120 + -110588/15. Let i = k - -6275. What is the common denominator of -103/20 and i?
40
Let i = 16485 - 939613/57. What is the common denominator of i and -50/11?
627
Let b = 16 - 8. Calculate the least common multiple of (-30)/(-4) + 2/(-4) and b.
56
Let a = 35 + -32. What is the least common multiple of a and 3?
3
Let c be (-12)/54 + (-52)/9. Let f(x) = -x**2 - 9*x - 9. Let y be f(c). Suppose -2*i = i - y. What is the lowest common multiple of i and 11?
33
Let t = 32 + -19. Suppose 5*d + 12 = -t. Let q = d + 13. Calculate the lowest common multiple of q and 5.
40
Let s be (-1016)/(-7320) - (-2)/(-15). Let t = -3104/1281 - s. Find the common denominator of (-603)/60 - (-2)/(-8) and t.
70
Let v = 4587/10 - 460. What is the common denominator of v and 41/151?
1510
Let v = 1062 + -10591/10. Find the common denominator of v and -25/21.
210
Suppose -2*a = -a - 28. Suppose -2*m = -2*b - 12, -3*m + 7*m - 2*b = a. What is the smallest common multiple of m and ((-1)/1)/((-2)/14)?
56
Let j = 5063 - 40563/8. What is the common denominator of 31/34 and j?
136
Let a(o) be the second derivative of -o**5/40 + o**3/6