
Suppose 0 = -2*q - 1479 + 4795. Let m = q - 5018/3. What is the common denominator of m and ((-3)/9)/((-10)/(-33))?
30
What is the common denominator of ((-28)/(-8))/(-7)*1 and -20/3?
6
Let y = 2 - -3. Suppose 44 = 5*b - 4*w, 4*b - 4*w - 18 - 18 = 0. What is the least common multiple of b and y?
40
Let u(w) = -60*w**2 - 4*w - 16. Let i be u(7). Let d = i - -65663/22. What is the common denominator of d and -25/32?
352
Let v = -6 - -7. Calculate the smallest common multiple of v and -4 - -6 - (1 + -4).
5
Let x(f) = 35*f**3 + 2*f**2 - 2*f - 1. Let b be x(-2). Calculate the common denominator of -13/18 and (-12)/(-54) + b/(-126).
126
Let u = -2756/153 - -446/17. Find the common denominator of (19/(-3))/(1/3) and u.
9
Let m = 3 + 7. Let c be 1243004/8*1/m. Let w = 15533 - c. Calculate the common denominator of w and 43/16.
80
Let v = 9 - -2. Let j be 0/((0 - 3) + 5). What is the lowest common multiple of v and (-3 - j)*2/(-6)?
11
Find the common denominator of -48/7 and (1/(-20))/(12/(-70)).
168
Let a = -56/15 - 523/30. What is the common denominator of -107/22 and a?
66
Let j = 1027 + 1525. Let i = 35747/14 - j. What is the common denominator of 89/2 and i?
14
Suppose -c - c - 4 = 0, 3*c = -5*a - 11. Let q = -2 + a. Calculate the common denominator of q and 55/4.
4
Let d = 3 - 11. What is the common denominator of 6/(-9) - (-490)/(-48) and (-4)/(-8)*194/d?
8
Let x(k) = k**2 - 1. Let q be x(-2). Calculate the least common multiple of (q + (-33)/9)*-9 and 22.
66
Let a = 24/439 - -32733/3512. Calculate the common denominator of a and 38/109.
872
Suppose 3*b = -10 + 4. Find the common denominator of -2/5 and (-3)/(-12)*(-5)/b.
40
Let u = -6 + 3. Calculate the common denominator of u/18 - 46/(-42) and 238/(-40) - -2*1.
140
Let h(i) = 7*i. Let x be h(-1). What is the common denominator of (-2)/(-18)*(-46)/2 and 137/18 + x/(-14)?
9
Suppose -48 = -v - 0*v. What is the common denominator of 23/18 and (-36)/v + (-11)/2?
36
What is the common denominator of -57/16 and 246/(-12)*(-4)/(-20)?
80
Let z be 14/(-6) - 1/(-3). Suppose 10 = -c + 3*c + 2*q, 4*c + 3*q = 19. Calculate the least common multiple of 12/2 + z/(-1) and c.
8
Let g = -2 + 2. What is the smallest common multiple of 8 and (1 - 2)*(g - 3)?
24
Suppose -5*k = 2*w - 12, 4*w = 2*k - w - 28. Let z(l) be the third derivative of l**4/24 + l**3/3 - l**2. Calculate the lowest common multiple of z(6) and k.
8
What is the common denominator of 67/6 and (-1)/(33/17) + 9/(-27)?
66
Suppose 4*n + 8*c + 108 = 11*c, -2*c = -2*n - 52. What is the common denominator of -57/5 and n?
5
Let w = -39239/22 - -1784. What is the common denominator of w and 61/18*(-2 + 3)?
198
Suppose 0 = 4*w - 5*w. Suppose w = -c + 3*y + 12 + 12, 48 = 3*c - 3*y. What is the smallest common multiple of c and 12?
12
Let m = -8747/3 + 11689/4. Calculate the common denominator of m and 4/10 + (-918)/20.
12
Suppose 2*q + 4433 + 20059 = -4*c, -2*q - 6126 = c. Let d = c - -122409/20. What is the common denominator of -59/20 and d?
20
Let b = -9/1009 + 102035/14126. Let c be -1 + (-5)/(535600/527844). Let a = 30/1339 - c. Calculate the common denominator of b and a.
140
Let n = -19 - -13. What is the common denominator of 87/10 and 1085/336 + (-2)/n?
80
Calculate the common denominator of 3/18*20/(-25) and 54/5.
15
Let g = -50 - -52. Calculate the smallest common multiple of g and (-4)/(-6) - (-2)/6.
2
Let x(y) = -y**3 + 7*y**2 - 10*y + 6. Calculate the least common multiple of x(5) and 2.
6
Suppose -5*p = 3*v + v - 9, 5*p = 3*v + 37. Let y = p + 4. Let i(l) = -l**3 + 3*l**2 + 4*l + 4. Calculate the lowest common multiple of y and i(4).
36
Suppose 0 = -4*v + w + 12, 0*v - w - 14 = -5*v. Suppose 0*h = v*h - 88. Let d = -28 + h. What is the least common multiple of 18 and d?
144
Let m(v) = -v**2 + 1. Let p(a) = -4*a**2 - a + 5. Let k(b) = 6*m(b) - 2*p(b). Let l = -21 - -31. Calculate the least common multiple of l and k(-3).
40
Calculate the common denominator of 49/4 and 4 + (-1)/(-40)*-142.
20
Let b = -38 - -52. Calculate the least common multiple of b and 5.
70
Calculate the lowest common multiple of (0 - 18)*(-2)/3 and (4/4 - 5)/(2/(-9)).
36
Let g = -149/3 - -169/6. Find the common denominator of (-4)/(-10) - 21/(-30) and g.
10
Calculate the least common multiple of (48/4)/(-3) + 8 and 5.
20
Suppose 0 = 2*u + d - 2 - 33, 3*d = -5*u + 85. Let b = -8 + 17. Let m = b - 5. Calculate the least common multiple of u and m.
20
Suppose -5*t + 127 = -93. What is the common denominator of -91/8 and (-1)/(-6)*t/(-8)?
24
Let t(l) = -l + 1. Let j(z) = z + 3. Let d be j(0). Suppose -1 = -d*i + 5. What is the smallest common multiple of i and t(-6)?
14
Suppose 3*b = -2*h - 44, 2*h - 7 = b - 51. Find the common denominator of (-2)/(-4)*4/h and -14*(8/(-12) - 124/(-105)).
55
Let a = 30 + 40. Suppose 5*n + 2*v = a, 3*v - 9 = -4*n + 40. Calculate the least common multiple of n and 4.
16
Let k(c) = -c**3 + c**2 + c + 14. Let t be k(0). Suppose 2*w = -d + t, -2*d + w + 21 = d. Let v = 11 - 6. What is the lowest common multiple of d and v?
40
Let m(o) = 2*o**2 + 3*o - 5. Let k(z) = 4*z**3 + 1. Let h be k(1). Let p be m(h). Suppose 5*d = -10 + p. What is the least common multiple of 6 and d?
30
Suppose 3*w - 2*w = -1. Calculate the smallest common multiple of 9 and 3*w*(-2)/2.
9
Suppose 3*s + 2*j = -5711, 4*s + 2*j + 2*j = -7608. Let p = 3891/2 + s. What is the common denominator of p and (-3)/((-6)/(-52)) - -2?
2
Let a = -13599/4 + 3418. Find the common denominator of 3/200 and a.
200
Let h(c) = -c**3 - 6*c**2 - 7*c - 6. Let v be h(-5). Let o be (-1)/(-2) + (-126)/v. Let q = -15 - o. What is the least common multiple of 18 and q?
144
Suppose -4*v = 3*d + v + 137, -2*d = -2*v + 102. Let f be 184/24*(0 - -3). Let a = f + d. Find the common denominator of a and -38/7.
7
Suppose -5 = -i + 7. Let z = 33 + -21. What is the smallest common multiple of i and z?
12
Suppose 9 = -2*o - 5*z, -2*z + 5*z + 15 = 0. Calculate the smallest common multiple of 4 and o.
8
Let u = 314 + -9091. Let w = 26815/3 + u. Let r = w + -1133/6. What is the common denominator of r and -67/16?
16
Suppose 0 + 12 = 3*m. What is the smallest common multiple of 2 and m?
4
Let o = 252/31 - 5659/372. Calculate the common denominator of -137/6 and o.
12
Let g = 55 + -45. What is the lowest common multiple of 28 and g?
140
Suppose p - 19 = -u, -p + 4*p - 3*u = 33. Calculate the least common multiple of 12*(2/(-4) - -1) and p/(-10)*44/(-6).
66
Suppose 3*r = 2*r + q + 6, 5*r - 36 = 2*q. Let i be 18/r*1908/232. Let v = i + -1/232. What is the common denominator of -5/8 and v?
8
Calculate the common denominator of -20 and ((-82)/(-6))/(22/(-33)).
2
Let y = -13 - -23. Calculate the smallest common multiple of 8 and y.
40
Let b(q) = q**3 - 3*q**2 - 3*q - 2. What is the least common multiple of b(4) and 4?
4
Suppose 3*l + 5*k - 20 = 0, 2*l + k + 0*k - 18 = 0. Let h = -6 + 13. What is the least common multiple of l and h?
70
Suppose 4*b = 3 + 25. Suppose -5*k + 58 = 3*a, -5*a - 2*k = -0*k - 84. Calculate the smallest common multiple of a - 12 - 1*-1 and b.
35
Let u = 2419/1528 + 8/191. Let f(m) = -m**2 - m + 2. Let w be f(-3). What is the common denominator of u and w/6 + 370/(-48)?
8
What is the common denominator of 7*6/210 - 507/10 and (1 - 11)*(-11)/(-16)?
8
Let n be 14/35 + (-137)/5. Let w = 30 + n. Let u(z) = -z**3 + 3*z**2 + 4*z - 1. Calculate the lowest common multiple of u(3) and w.
33
Calculate the common denominator of 111/50 and (-4)/(-20) + (-658)/40.
100
Let p be 8688/(-5731) + (-2)/4. Let r = p + 32/521. Let a = -868 - -3417/4. What is the common denominator of r and a?
44
Let z = -23 - -41. Calculate the lowest common multiple of z and 20.
180
Suppose -4*y - 6 = p, p - 11 = 2*y + 7. Calculate the common denominator of -31/4 and (-51)/(-6)*p/(-8).
8
Let o = -16571/510 + -2/255. Find the common denominator of (134/(-2)*1)/6 and o.
6
Let g = 19 + -14. Let u(c) = c. What is the lowest common multiple of u(g) and 9?
45
Let n be (-94)/(-18) + (-6)/27. Suppose 15 = -2*m - 3*m. Let s = m + n. Calculate the least common multiple of s and 8.
8
Let q be -1*(-3 - -3) + 0. Suppose q*c = -4*c + 40. What is the least common multiple of c and 6?
30
Let v = 12/115 - -4001/230. Let g be (46/4)/(4/8). Let c = v