q = 18/18737 + -172280/218342261. Let j = 687543/93224 - q. Let x = j - -15/8. Find the common denominator of x and -17/8.
8
Suppose -4*y = -3*o - 55, -4*y = -3*y + 5*o + 15. Calculate the smallest common multiple of 14 and y.
70
Suppose 6*p - 14*p = -64. Suppose 5 = v - 0. Suppose 3*x - v*x + 32 = 0. What is the lowest common multiple of p and x?
16
Let o = 353 - 1758/5. What is the common denominator of o and -97/4?
20
Let p = -26 + 48. Calculate the lowest common multiple of 10 and p.
110
Let d = 516143/6 - 84581. Let l = -1447 + d. What is the common denominator of l and -93/10?
30
Calculate the lowest common multiple of 22 and (-84)/(-8) - (-2)/(-4).
110
Suppose 3*z - 8 - 10 = 0. Calculate the lowest common multiple of 16 and z.
48
Suppose 3*n - 24 = -n. Let x(u) = -2*u**3 + 5*u**2 - 4*u + 9. Let r be x(n). Calculate the common denominator of -11/12 and (-3)/9 + r/36.
12
Let g(v) = -6*v**3 - 7*v**2 + 6*v - 2. Let i(b) = 5*b**3 + 7*b**2 - 5*b + 3. Let q(l) = 6*g(l) + 7*i(l). What is the least common multiple of 18 and q(7)?
144
Let t(c) = -c**3 - 2*c**2 - 4*c - 3. Let u be t(-3). Let n = u - 9. Calculate the least common multiple of 11 and n.
99
Let n be (9/(-52590))/(6/8). Let z = 745041/70120 + n. What is the common denominator of 507/2002 - (-2)/(-11) and z?
56
Suppose 2*g + g = 12579. Let o = 37802/9 - g. Let d = 385 - 3867/10. Find the common denominator of o and d.
90
Suppose -6*v = -3*v + 6. Let u = -413/2 - -256. What is the common denominator of u and 177/(-48) + v + 1?
16
Let p = 15941 + -335059/21. Let s = p - -22/3. Calculate the common denominator of s and 119/6.
42
Let v be (-2)/10 + (-21)/(-5). Suppose -2*m = v - 12. Calculate the least common multiple of 20 and m.
20
Suppose -j - 4*m + 22 - 8 = 0, 10 = -3*j + m. Suppose -5*p = -4 - 41. Find the common denominator of p and (j/6)/((-5)/132).
5
Let u be (4 - 14)*(36 - 0). What is the common denominator of (-2)/(-9) + (-2116)/u and -119/6?
30
Let q be (-14)/(-3) - 1/(-3). Suppose -4*y - 5*v - 13 + 1 = 0, -5*y = q*v + 10. What is the least common multiple of 14 and y?
14
Suppose -5*p = -2*p + 522. What is the common denominator of 113/14 and -2 + 5 - p/(-20)?
70
Find the common denominator of 91/18 and (25/(-20))/((-2)/4).
18
Let s(o) = 30*o + 7. Let y be s(6). Suppose 13757 = -5*i + y. Let w = -13526/5 - i. What is the common denominator of -36/5 and w?
5
Suppose 5*x - 5*b - 25 = 0, b - 20 = -4*x - b. Suppose -5*t + x*w - 63 = 7, 2*t + 3*w = -8. Find the common denominator of 83/14 and ((-114)/8)/((-25)/t).
70
Suppose 0 = -2*b + b + 2484. Let t = -19821/8 + b. Find the common denominator of -117/10 and t.
40
Let k = 69 - 57. Calculate the least common multiple of k and 90.
180
Let g = 10/453 + 34801/3624. Find the common denominator of g and 28/9.
72
Calculate the common denominator of 154/(-128)*(-2 + (4 - 0)) and -67/8.
32
Find the common denominator of ((-4)/(-8))/(22/58) and 1/(-4) - 287/(-36).
198
Suppose 0 = 4*o + o + 9950. Let r be 7584/126*(0 + 33). Let m = r + o. Calculate the common denominator of -31/6 and m.
42
Suppose -36 - 93 = -3*w. Calculate the common denominator of w and 77/8.
8
Let c = 286/1919 + 15460369/341582. Let v = -3598 + 320230/89. Let j = v + c. Find the common denominator of 16 and j.
2
Suppose 0 = -17*k + 12*k + 10. Calculate the least common multiple of 19 and k.
38
Suppose 0 = 4*s - 8*s + 144. Suppose 2*a + 2*a = s. Calculate the smallest common multiple of a and 7.
63
Let o = -16 + 10. Let p(y) = 108*y**2 + 6*y + 5. Let i be p(o). Let v = i + -53925/14. Find the common denominator of -17/22 and v.
154
Let k(r) = r**2 - 10*r + 7. Let z be k(10). Calculate the smallest common multiple of 18 and 0/1 + z + 1.
72
Let t(o) = -o**2 - 10*o + 4. What is the lowest common multiple of 30 and t(-8)?
60
Suppose -5*n + 14 - 4 = 0. Calculate the least common multiple of 86 and n.
86
Suppose 3*b + 2*v = -2*v - 5, 0 = -4*v - 20. Let y be 10*(-2)/(-4) + -4. Let f = b - y. Calculate the smallest common multiple of f and 7.
28
Let y = -2833 + 14114/5. Calculate the common denominator of y and 430/48 + (-2)/6.
40
Let o(h) = h**2 + 10*h - 9. Let n be o(-11). What is the common denominator of -45/7 and 23*n/10 - 2?
35
Let u be 42/(-91)*(-86469)/2456. Let a = u - -2/3991. Find the common denominator of a and 13/6.
12
Calculate the common denominator of -35/12 and 5/24 - (13 + -13).
24
Let q = 1748 + -3429/2. Let t = 2259/14 + -1277/8. Calculate the common denominator of t and q.
56
Suppose -2*h - 8 = -2*p, -p = -2 - 2. What is the common denominator of h + 1 + (-57)/30 and -107/12?
60
Let t(h) = -h**3 + 10*h**2 - 12*h + 1. Let r be t(8). Suppose -a - 4*n = 2*a - 31, -5*a + r = 2*n. What is the lowest common multiple of 6 and a?
30
Suppose -4*v - c + 29 = 0, -5*v + 3*c + 9 + 6 = 0. What is the smallest common multiple of v and 1?
6
Suppose -3*x = -7*x. What is the least common multiple of 18 and 0 - 22/(-1 - x)?
198
What is the least common multiple of 140/(-4)*20/(-70) and 154?
770
Let g = -11269/6 - -1894. Find the common denominator of 0 + 0 + (-66)/(-40) and g.
60
Let d(u) = -2*u**3 + 3*u**2 - 6. Calculate the least common multiple of d(-2) and 9.
198
Suppose -3*f + 3 = -39. Suppose -3*q - 4*b = -60, -q - q + b + 40 = 0. What is the lowest common multiple of q and f?
140
What is the common denominator of -55/6 and (-48)/(-50)*(-60)/(-8)?
30
Let a = -9 + 11. Suppose 2*y - 6*m = -2*m + 12, y - 4*m = 10. What is the smallest common multiple of a and y?
2
Suppose -2*h = 6*g - 4*g - 32, -2*h = -3*g - 42. Let n(c) = -c - 2. Calculate the smallest common multiple of n(-6) and h.
36
Suppose -q + 133 = -2*q - z, -2*q - 274 = -2*z. Let b be 58/(-3)*q/(-6). Calculate the common denominator of -13/9 and b/(-36) - (-1)/4.
9
Let d = -24 - -13. Let k = -3 - d. Suppose 16 = x + x - c, 3*x = 5*c + 38. What is the least common multiple of x and k?
24
Let q(v) = v**3 + 6*v**2 + 5*v - 2. Let y be q(-5). Calculate the common denominator of (-548)/24 - (y - -3) and -17/44.
132
Let p(y) = y - 2. Let k be p(7). Suppose 0 = 4*f - 4*j - 36, 0 = 4*f - k*j + 2*j - 35. Let r = 4 + f. What is the least common multiple of r and 20?
60
What is the common denominator of (42/(-24))/((-54)/40) and 119/12?
108
Suppose -13 = 4*f + 19. What is the common denominator of ((-3)/(-18)*4)/((-52)/1677) and (358/f - 1)/(-6)?
8
Let w = 126 + -122. What is the lowest common multiple of w and 6?
12
Suppose -2*v + 0*v = -4. Let p = -56 + 74. Calculate the smallest common multiple of v and p.
18
Let o = 6549498841 - 1283696559839/196. Let d = 26597 - o. Let w = d + -14549/588. What is the common denominator of 40/9 and w?
9
Suppose -6*c = 4 - 16. Let q(y) = 2*y - 2. Let m be q(7). Suppose 0 = x - m - 8. Calculate the smallest common multiple of x and c.
20
Let m(r) = r**3 - 3*r**2 + 2*r + 2. Let n be m(2). Let x be n + -23351*3/36. Let h = -1945 - x. What is the common denominator of h and -75/16?
48
Let t(q) be the first derivative of 15*q**2/2 + 3*q - 2. Let g be t(-4). Find the common denominator of 38/3 and (g/(-22))/((-3)/(-4)).
33
Let g(o) = o. Let h(f) = 5*f - 8. Let q(i) = 6*g(i) - h(i). Calculate the smallest common multiple of q(0) and 16.
16
Calculate the common denominator of ((-74)/56)/((-3)/12) and -29/8.
56
Suppose 5*k = -2*d + 3*k + 16, 3*k = 0. What is the smallest common multiple of d and 5?
40
Let c = 19059/1610 + 10/161. What is the common denominator of c and 246/(-160) - (-4)/(-10)?
80
Let o(x) = x**2 - 5*x - 6. Let g be o(6). Let w be 2*-1 - (20 + g). What is the lowest common multiple of 4 and (3/(-6))/(1/w)?
44
Find the common denominator of (-100)/(-28) - (6 - 2) and 19/7.
7
Let i be 50774/(-2604) - 1/(-1). Let s = i - 1/651. What is the common denominator of 1 + -8 + 2/2 and s?
2
Suppose 2*n - 2 - 12 = 4*o, -2*n - 3*o + 21 = 0. Let v = 23 - n. Let r(x) = 3*x**3 + 2*x**2 - 1. What is the least common multiple of r(1) and v?
28
What is the lowest common multiple of (2/(-6))/((-1)/27) and 5?
45
Let z = 30/91 + 8951/728. Calculate the common denominator of -121/10 and z.
40
Let h = 2 - -1. Suppose -5*y + 2 = 2*o, h*o = -3*y + 6*y + 24. Calculate the smallest common multiple of o and (0 - -10)/(2 - 0).
30
Let t be 1*-1 - (-4532)/2880. Let y = -1/90 + t. Find the common denominator of y an