-4*w + 6*w - 5*p - 60 = 0. Let a(r) = r**2 + r - 2. What is the least common multiple of w and a(4)?
180
Suppose -1 = p - 3. Suppose s - p*s + 15 = 2*r, -r - 3*s = -20. What is the least common multiple of 4 and r?
20
Let q = -1379/6 - -229. Calculate the common denominator of (2/(-55))/(3 + (-256)/85) and q.
66
Suppose -h + 3375 = 3*h - b, 0 = 3*h + 2*b - 2534. Let s = 1719/2 - h. What is the common denominator of s and 1/3 - (-140)/66?
22
Let w = 14 + -10. Calculate the lowest common multiple of w and 20.
20
Let l = 9 - -1. Suppose -5*r = -j - 49, 5*r = r + 3*j + 37. What is the least common multiple of (-4)/r + 84/l and 1?
8
Suppose 7*d = 3*d + 24. Let o = d - -2. Calculate the smallest common multiple of o and 8.
8
Let f be (-2238)/(-216) - (-1 + 2). Let p = f + 5/36. What is the common denominator of -38/11 and p?
22
Calculate the lowest common multiple of 6 and (-1)/7 + (-497)/(-49).
30
Let s be (22 - -5)*(-4)/(-3). What is the common denominator of (-1 - (-82)/s) + 2 and -9/2?
18
Let b = -2311/11 + 213. Let s be -116 + -4 + 1/(-1). What is the common denominator of b and s/(-10) + 2 + -3?
110
What is the common denominator of 68/9 and (45/4*1)/3?
36
Let s = -210382 + 10097755/48. Let v = s + 13/48. Calculate the common denominator of v and 3/(-5)*(-23)/3.
30
Suppose s + 2*m - 29 = 0, 10 = 3*m + 2*m. Suppose 2*g = 4*u - g - 34, 56 = 5*u + 3*g. What is the smallest common multiple of u and s?
50
Let l(k) = -k**3 + 9*k**2 - 2*k + 21. What is the least common multiple of l(9) and 6?
6
Suppose 0 = 5*a - 34 - 16. Let d(b) be the second derivative of b**5/20 + b**4/4 - b**3/2 + 2*b. What is the lowest common multiple of a and d(2)?
70
Let k(j) = j - 1. Let x(t) = 3*t + 20. What is the lowest common multiple of x(-6) and k(3)?
2
Calculate the common denominator of 43/30 and 7/(924/(-8))*-2.
330
Let i = -8371 - -50077/6. What is the common denominator of i and (-6)/(-2) - 339/30?
30
Suppose 0*h + h + 2 = 0, -4*z - h + 6 = 0. Find the common denominator of z + ((-93)/(-6) - -1) and (-37)/5 + 1 + 0.
10
Let p(v) = 29*v + 5. Let g be p(-7). Find the common denominator of g/16 - (-3 + 1) and -29/2.
8
Let s(v) = -v**3 + 10*v**2 - 8*v - 9. Let j be s(9). Let g(z) = -z**3 - z**2 - 2*z + 10. Calculate the lowest common multiple of g(j) and 2.
10
What is the common denominator of -93/14 and 590/(-180) - (1 + 1)?
126
Suppose 51 = -7*j + 429. What is the lowest common multiple of j and 16?
432
Calculate the least common multiple of (6 - 0) + -1 + 0 and 9 + (-6)/9*-3.
55
Suppose -2*z + 15770 = 3*z. Let y = z - -2524. Let d = -90893/16 + y. Calculate the common denominator of 109/18 and d.
144
Let l be 2 + (0 - 33282/16). Let c = 2073 + l. Find the common denominator of 101/2 and c.
8
Suppose 6549 = -c + 4*k, 4*c + c = 3*k - 32711. Let w = c - -117701/18. What is the common denominator of w and -59/20?
180
Let x(b) = 3*b - 5. Let u be x(-9). Let s = u + 70. Calculate the common denominator of 77/8 and s.
8
Let n = 2 + 1. Let c be (-2)/(-9) + 22/(-18). Let r = c + n. Calculate the least common multiple of 2 and r.
2
Let y(d) = -d**2 - 7*d. Let b(n) = n**2 + 8*n + 1. Let h(u) = -4*b(u) - 5*y(u). Calculate the least common multiple of (-9 - -3)*20/(-6) and h(-5).
60
What is the common denominator of -4 + 663/60 + -2 and -27/22?
220
Let t(o) = o**2 + 6*o - 4. Let r be t(-5). Let q = 13 + r. Suppose -7*s = -5*s - 10. What is the lowest common multiple of s and q?
20
Let z(u) = u**3 + u**2 + 2*u + 9. Calculate the smallest common multiple of z(0) and 11.
99
Let y = 8 - -2. Suppose -5*f = -y*f + 35. Suppose 4*h + 15 = 3*m - 11, m + 3*h - 13 = 0. What is the smallest common multiple of f and m?
70
Let o = 1/181 + 19723/1086. Let c = 4123939/6 + -685106. Let n = c + -2227. Find the common denominator of n and o.
6
Let j = 1/695 - -36832/2085. Calculate the common denominator of j and -13/4.
12
Calculate the common denominator of 27/(-5) - (0 - 0) and -56/9.
45
Suppose 0 = 2*c - 4*c. Let r(t) = -t**3 + t. Let x be r(0). Suppose x = d + 5*f - 14, -2*d + 4*f = -c*f. What is the least common multiple of d and 7?
28
Suppose -r + 8 = -5*r. Calculate the smallest common multiple of r/6 - (-56)/6 and (-7)/(28/8) - -8.
18
Let q = 352741/18 + -19603. Calculate the common denominator of q and -31/39.
234
Let c = 5/46 + -475/138. What is the common denominator of c and -47/15?
15
Suppose 2*u = u + 9. What is the lowest common multiple of 6 and (-1)/((-1)/u) + 1?
30
Let t be 28/(-154) + (-568)/22. Let j = t - -27. What is the least common multiple of j and 4?
4
Suppose 4*l = -w - 10, -5*l = 2*w - 4*w + 32. Suppose -3*m - 110 = -8*m. What is the least common multiple of m and w?
66
Suppose 0 = 2*q - 5*n - 9, 3*q - 2*n = -3*n + 5. What is the lowest common multiple of q and (-44)/(-20) - (-2)/(-10)?
2
Suppose -59053 = 3*v - 16087. Let x be (2228/18)/(8/(-926)). Let d = v - x. Find the common denominator of 127/6 and d.
18
Let a be (-2)/(-3) - (-494)/(-39). Calculate the common denominator of (46/a)/((-10)/18) and -43/14.
70
Suppose 5 = -2*b - b - 4*y, 4*y = b - 25. Suppose -1 - b = 3*n. Calculate the lowest common multiple of 1 + 0 - (n - -2) and 6.
6
Let u = 12 + 10. Let g = -16 + u. What is the lowest common multiple of g and 17/3 + (-1)/(-3)?
6
What is the common denominator of (18/(-24))/(2/30) and (-63)/(-77) + -2*2?
44
Calculate the common denominator of 3/(-4)*2*156/(-432) and 55/12.
24
Let h(m) = -m + 6. Calculate the least common multiple of 2 and h(-6).
12
Suppose -63 = -6*o - 9. Let v = -20 + 29. What is the smallest common multiple of v and o?
9
Let b = -2110 - -16821/8. Find the common denominator of b and 24/7.
56
Let d(x) = x**2 + 2*x + 12. Let w be d(-11). Suppose -t - w = 6. Find the common denominator of (t/25)/(6/15) and 77/4.
20
Let f be (-2 + 297)/((-6)/(-12)). Find the common denominator of 46/7 and (f/(-25))/((-8)/10).
14
Let k = 0 - 0. Suppose -p - 2*o = k, -3*p + 10 = -o - 18. Let d(l) = -13*l + 1. Calculate the least common multiple of d(-1) and p.
56
What is the lowest common multiple of (-2)/9 - (-840)/135 and 16?
48
Let i be 17/2 + 6/(-4). Let h(k) = -k**2 + 7*k + 10. What is the smallest common multiple of 22 and h(i)?
110
Calculate the common denominator of 29/15 and -31*((-32)/56)/(18/(-7)).
45
Let h(j) = -j - j**2 - 6*j**3 + 2*j - j. What is the least common multiple of 11 and h(-1)?
55
Let y = -1741/132 + 161/12. Calculate the common denominator of y and 107/10.
110
Suppose -x + 6 = -5*u + 2, -9 = 4*u + 5*x. What is the common denominator of (-1)/32*-214 + u and -143/18?
144
Let q be (-116006)/(-56)*2/547. Let k = -3/1094 + q. Find the common denominator of 26/7 and k.
7
Let d(m) = -13*m - 1. Let v be d(-1). Suppose -4*l = 5 - 21. What is the smallest common multiple of l and ((-32)/v)/((-2)/6)?
8
Let f = -465 - -673. Let y = 478 - f. Calculate the common denominator of 1641/y + (-2)/(-9) and -19/6.
30
Let j = 7/21189366 + 111554945473/10276842510. Let t = j + -16/291. What is the common denominator of -16 and t?
5
Let h = 35 - 29. Calculate the lowest common multiple of 4 and h.
12
Let h(v) = 6*v**2 + 3*v + 2. Let r be h(-1). What is the least common multiple of (-18)/45 - (-92)/r and 14?
126
Let g = 3139/368 - 235/23. Let b be (15/(-20))/(2/(-304)). Find the common denominator of g and ((-10)/12)/((-2)/b).
16
Let x(r) = -2*r - 5. Let c be x(-4). Suppose 6*f = c*f - 3. What is the smallest common multiple of 16 and f + 15 - (1 - 1)?
112
Find the common denominator of (-24)/(-156) - 1/(572/322) and -77/6.
66
Let l(y) = y**2 + 6*y + 13. Calculate the smallest common multiple of 22 and l(-7).
220
Let i = -1975 - -9917/5. Find the common denominator of -4 + (-4 - 405/(-55)) and i.
55
Let u = -2301 - -6829/3. Calculate the common denominator of u and -73/9.
9
Let h(r) be the second derivative of -r**3/2 - 3*r**2 - 10*r. Let s be (-50)/8 + (-1)/(-4). Calculate the least common multiple of h(s) and 8.
24
Let i be (-50)/3*(-12)/10. Calculate the smallest common multiple of 1 and -5*-4*2/i.
2
Suppose -1 = -3*w + 35. What is the lowest common multiple of 10 and w?
60
Let v = -2 - -6. Suppose 12 = -2*i + 4*i. Calculate the lowest common multiple of i and v.
12
Calculate the least common multiple of 14 and (-6)/(-27) + 178/9.
140
Calculate the lowest comm