 16 = j, 0 = 2*f - 7*j + 2*j - 8. Calculate the lowest common multiple of 10 and (f/8)/(3/18).
30
Suppose 7 + 8 = m. Let c = -13 + 4. Calculate the common denominator of (-2)/c + 3367/(-693) and m.
11
Let q = 2/1701 + -117589/187110. Find the common denominator of 69/14 and q.
770
Suppose 4*v - 12 = 12. Let q = 12 - v. Suppose b + 1 + 1 = -2*z, 2*b = 3*z + 10. Calculate the smallest common multiple of b and q.
6
Let c = 1/261873 - 127357588/4975587. Let d = c + 138/19. What is the common denominator of d and 4*(-155)/(-400)*4?
15
Suppose -a = 3*u + a + 4, -5*u = a + 16. What is the smallest common multiple of 35/21 + u/6 and 6?
6
Suppose 3*v = 3, 6*u - 3*v = 2*u - 35. Let o(c) = c**3 + 7*c**2 - 11*c. Let i be o(u). Calculate the common denominator of (-3 - -1) + i/(-10) and -55/6.
30
Let x = 1884805 - 11270783/6. Let k = x - 6317. Find the common denominator of (1/(-3))/(4/(-43)) and k.
12
Let s = -25904 - -569783/22. Let l = -717677/2040 - -1759/5. Let x = l + 15307/2856. Calculate the common denominator of s and x.
154
Let o(s) = 7*s**2 - 2*s - 2. Let x = -2 - -2. Suppose -3*y + 6*y - 3*b - 36 = 0, x = 4*y - 3*b - 52. Calculate the smallest common multiple of o(2) and y.
176
Let w be 2 + (-5)/(10/(-4)). Suppose -2*y - 5*m + w = 3, -y + 6 = -3*m. What is the least common multiple of 11 and y?
33
Let w = -138/11 - 103/33. Calculate the common denominator of w and -24/7.
21
Let d be -109*(-3)/(9/(-21)). Calculate the smallest common multiple of 26/6 + (-1)/3 and d/(-35) - (-1)/5.
44
Suppose 0 = -0*b + 2*b - 3*x - 21, -5*x - 37 = -4*b. Suppose 2*m - 51 = -4*h - 11, -b*m + 30 = 3*h. Calculate the smallest common multiple of h and 20.
20
Let s be ((-6)/(-4))/((-6)/(-32)). Let n = s - 6. What is the lowest common multiple of n and 11?
22
Suppose -27 = 2*i - i. Calculate the common denominator of 3/(i/41) - 3 and -64/9.
9
Suppose 0 = -5*y - 0*a - a + 55, -4*y - 5*a + 23 = 0. What is the smallest common multiple of y and 2?
12
Suppose 3*r = -13 + 1, -2*m = 2*r - 6. Suppose -v + 14 = p, 2*v = -3*p - p + 24. What is the lowest common multiple of v and (-4)/(-14) - (-124)/m?
144
Let m = -244/3 + 209/6. Let i be (4 - 16470)/(-1 - 1). Let n = -98867/12 + i. Find the common denominator of m and n.
12
Let h = -584 - -4665/8. Calculate the common denominator of h and 22/3.
24
Let m(q) = -q**2 - 6*q + 5. Let b be m(-6). Calculate the common denominator of (-102)/4*(-1)/(-6) and b + (-2 + 2)*1.
4
Let i = 667 + -7297/11. Find the common denominator of 43/4 and i.
44
Let o(t) = -t**3 - 6*t**2 - 4*t - 8. Let q = -7 + 1. Let g(w) = 2*w - 8. What is the lowest common multiple of g(6) and o(q)?
16
Suppose -3*z + 52 = -5*b, 2*b + 8 = 5*z - 9. Let a(q) = -q**2 - 13*q. Let h be a(b). Suppose -h = -5*f + 58. Calculate the smallest common multiple of 2 and f.
16
Suppose 0*l + 40 = 4*l. Let a = 0 + 10. What is the lowest common multiple of a and l?
10
Let b = -73/29 + 271/580. What is the common denominator of b and 67/50?
100
Let f = 16997975 - 15519149659/913. Let n = f - 2/83. Let i = -2627 + 28878/11. Calculate the common denominator of i and n.
11
Let o = -5 - -7. Let a = -8 - -6. Find the common denominator of 22 and 50/o - (1 + a).
1
Suppose 0 = 2*f - 3*f - 634. What is the common denominator of -31/8 and f/(-40) - 2/(-5)?
8
What is the smallest common multiple of 18/(-27) - (-38)/3 and 20?
60
Let q = 3391 + -54273/16. What is the common denominator of q and 77/2?
16
Let c be ((-1)/3)/(2/(-12)). Suppose -3*u - 5*s = u + 6, 0 = -c*u + 4*s + 10. Suppose -5 = -r + u. What is the least common multiple of r and 20?
60
Let l(u) be the first derivative of -u**3/3 - u**2/2 - 2*u + 1. Let f be l(2). Calculate the least common multiple of (-1)/(-2)*f/(-1) and 9.
36
Let w = 6 - -6. What is the least common multiple of w and 22?
132
Let k(o) = -754*o + 6. Let w be k(-6). Let z = -36193/8 + w. Find the common denominator of z and (2/(-18))/(1/8)*-4.
72
Let k = -349145/211398 + 3/35233. Calculate the common denominator of k and -43/54.
594
Suppose -3*v = -2*v + 2. Let s = 20 + v. Suppose -2*y = -j - 20, j - 40 = -3*y - 0*y. What is the smallest common multiple of y and s?
36
Let r = 2684 + -15959/6. What is the common denominator of -71/56 and r?
168
Let d be ((-5)/15)/((-2)/(-114)). Let i = -8 - d. Calculate the smallest common multiple of i and 1/(2 - 3) + 5.
44
Let n = -22 + 36. What is the common denominator of -17/3 and -2 + (n/(-12) - -2)?
6
Let i(t) = -t**3 + 7*t**2 + 9*t - 2. What is the lowest common multiple of 6 and i(8)?
6
Suppose -3*c - 5 = -4*c. Calculate the smallest common multiple of 12 and c.
60
Suppose 38*u = 34*u + 36. What is the lowest common multiple of 3 and u?
9
Let j = 146212 + -734104/5. Let c = j + 606. Find the common denominator of -11/3 and c.
15
Let t = 0 + 1. Let q(r) = -2*r**2 - 11*r + 11. What is the smallest common multiple of q(-6) and t?
5
Suppose i - 121 = -5*k, -3*i = -4*i + 1. Suppose t + 3*s = 3*t - 103, -4*s + k = t. Calculate the lowest common multiple of t and 18.
396
Let w = 32 + -11. Let b = -14 + w. Let l = b + 3. What is the lowest common multiple of 11 and l?
110
Let h = -2121697/409008 - 2/25563. Find the common denominator of (1/16)/((-1)/(-19)) and h.
16
Suppose -4*k = k - 35. Let a = k + -3. Calculate the lowest common multiple of 11 and a.
44
What is the common denominator of 4/(-10) - (-6)/360*-146 and -27/20?
60
Suppose -4*y + 4*d = -52, 0*y = -3*y - 3*d + 45. Calculate the least common multiple of y/35 + (-28)/(-5) and 10.
30
Let z be -1 - (-1 - 3) - 5. Find the common denominator of 43 and (-265)/8*z/5.
4
Suppose -3*g + 4*z + 50 = 0, g + 4*g + 3*z = 122. Suppose -i - 2*i = -5*t - 31, 3*t + 25 = 5*i. What is the smallest common multiple of g and i?
22
Suppose -3*q + 48 = -3*r, -3*q - 2*r + 31 = -7. What is the smallest common multiple of q and 11?
154
Suppose -30 = 16*t - 142. Suppose -5*m = -3 - 52. Suppose 6 = n + 5*j + 22, 5*j - m = -4*n. Calculate the least common multiple of t and n.
63
Let w(k) = 5*k**2 + 2*k + 1. Let u(c) = c**2 - 2*c - 3. Let h be u(3). Let s(g) = g**3 + g**2 + g + 1. Calculate the least common multiple of w(-1) and s(h).
4
Suppose 1 = 2*k + h, h - 2*h = -k + 2. Calculate the lowest common multiple of 2 and k.
2
Let i = -19/10 - 64/15. Let d be 2 - 0 - 190/23. Let o = d + 1589/184. Find the common denominator of i and o.
24
Suppose i + 4*j + 30 = 6*i, i = -4*j + 6. Suppose 3*p = 4*t - 2 + i, -4 = 2*t - 2*p. Calculate the smallest common multiple of t and 2/(-12) + (-14)/(-12).
2
Let r = -12 + 20. What is the common denominator of (138/8)/(21/r) and -87/4?
28
Let q(h) = -h + 32. Let x be 177/9 + 1/3. Suppose 5*p = -2*l + x, 3*l + p + 0*p - 56 = 0. Calculate the lowest common multiple of q(10) and l.
220
Suppose -q - 179 = 2*k - 0*q, -2*q = 2*k + 184. What is the lowest common multiple of 7*(-3 - k/21) and 3?
24
Let v = 345/28 + -144/7. Find the common denominator of (-140)/245 - (7 - 1) and v.
28
Suppose 5*v + 229 = -4*h, 4*v = 2*h + 3*h - 216. What is the common denominator of v and (-9)/12*130/(-12)?
8
Let u be -2*(-26)/(-8)*-2. Let s = u + -5. Calculate the smallest common multiple of s and 6.
24
Let r = 25 + -55. Calculate the common denominator of 423/r*2/6 and (-340)/(-16)*(-2)/7.
70
Suppose -38*y - 180 = -44*y. What is the smallest common multiple of 6 and y?
30
Let g = 6499/9 + -16447/9. Let y = 1087 + g. Calculate the common denominator of y and -89/4.
12
Let q = -177 - -1409/8. Calculate the common denominator of 43/6 and q.
24
Calculate the common denominator of 49/32 and 550/(-96) - ((-75)/(-9) - 8).
32
Let v = 1737 - 5344/3. Let q = v + 223/6. Calculate the common denominator of -37/22 and q.
66
Let d(g) = -g**3 + 11*g**2 + 21*g. Let u(f) = 3*f**2 + 5*f. Let z(i) = 2*d(i) - 9*u(i). What is the smallest common multiple of z(-3) and 20?
180
Let s = 26094/11 + -2369. What is the common denominator of s and (-2)/(-4) + 309/54?
99
Let j = 3 + -1. Let z = -13 + 27. What is the least common multiple of j and z?
14
Let j = -18476/15 + 1238. What is the common denominator of j and 52/15?
15
Let p(n) = -n + 3. What is the least common multiple of p(-5) and 30?
120
Let z be (-9723)/(-9) + (-1)/3. Let a = z - 3295/3. What is the common denominator of a and -55/8?
24
Let v be ((-4)/(-6))/(6/22