0
Let q be ((-402)/8)/(6/(-20)). Let p = q - 154. Let l = -587/2 + 263. Calculate the common denominator of l and p.
2
Suppose 0 = -4*b - 3*d + 81, -3*d + 45 = b + b. Calculate the lowest common multiple of b and 3.
18
Suppose -3*o - 54 = -6*o. What is the lowest common multiple of o and 4?
36
What is the common denominator of 119/10 and 2/28 - 10/(-20)?
70
Let l = -106077/10 - -10619. Find the common denominator of ((-21)/27)/((-4)/(-66)) and l.
30
Let g = -1341/5 - -263. Let k(x) = 2*x. Let h be k(-1). Find the common denominator of g and ((-12)/33 + h)*-1.
55
Let z be 1 - -1*(-64)/(-2). Let w = z + -79. Let f = -571/4 - -6069/44. What is the common denominator of f and w?
11
Let z = 1351/5 + -269. Let t = 131618/3 - 44562. Let d = -676 - t. Find the common denominator of z and d.
15
Suppose 2*g = g - 39. Let s = -3 - -8. What is the common denominator of 0 + -2 + g/(-24) and s?
8
Let f(k) = k**3 - 4*k**2 + 3*k + 3. Let s be f(3). Let i be s/4 - (-71)/(-4). Calculate the common denominator of -11/4 and (i + -4)*5/12.
4
Suppose 3*s - 4*o - 90 = 0, -4*s + 0*s = -4*o - 120. Calculate the lowest common multiple of s and 20.
60
Let h be 329/(-21290)*(-2815)/2. Let s = 1/2129 - h. Calculate the common denominator of 67/20 and s.
20
Suppose 0 = 8*p - 3*p - 20. Suppose -3*g - 5*j + 93 = -2*j, -3*j - 47 = -g. Let q = -21 + g. Calculate the lowest common multiple of p and q.
28
Let w(a) = 1 + 2*a + a - 3 - 2*a. Let i be w(2). Suppose 0 = -5*q - n + 13, 0 = -q - i*q - 4*n + 14. What is the least common multiple of q and 2?
2
Suppose 3*g - 2*m = -1123, -1386 + 298 = 3*g + 5*m. Let q be 140/8*634/(-30). Let u = q - g. Find the common denominator of 17/4 and u.
12
Calculate the common denominator of 47/18 and (7/168)/((-4)/198).
144
Let t be ((-2768)/260)/(12/(-10)). Let d = 2765/234 - t. Find the common denominator of 94/(-12) + (-2 - -4) and d.
18
Suppose -4 + 0 = -4*b. Let x(u) = 3*u**2 - u. What is the least common multiple of x(b) and 7?
14
Let i(z) = z**2 - 8*z - 14. Suppose -4 = 3*y + 2. Let x be (y + 4)*4 - -2. Calculate the smallest common multiple of 8 and i(x).
24
Suppose -3*x = -2*x - 25. Let i = -7 + x. Calculate the smallest common multiple of 4 and i.
36
Let s(h) = -h**2 + 5*h - 5. Let r be s(5). Let v = r - -17. Calculate the smallest common multiple of v and 8.
24
Let c = 2 + -7. Let k = c + 6. Calculate the smallest common multiple of 6 and (k - -2)*(-8)/(-12).
6
Let u = 2 - 4. Let g be -1 - 9 - 0/u. What is the lowest common multiple of (-12)/(-10)*g/(-3) and 12?
12
Let r = -31/22 - -10/11. Calculate the common denominator of ((-1430)/455)/(-4*(-2)/18) and r.
14
What is the common denominator of 146/(-16) - (-24)/6 and 52/(-11) + (0 - -1)?
88
Let m = 44 + -35. Suppose 0 = 2*u + 2*u + 5*h - 52, 4*u + 3*h = 44. Suppose d + d = u. What is the least common multiple of m and d?
36
Let o be 29/2 - 6/4. Suppose p - o = 3*s, -5*s - 1 = 9. Calculate the least common multiple of 10 and p.
70
Suppose 70 = -3*p - 65. Let n = 29215/8 + -3658. What is the common denominator of p and n?
8
Let t = 44 - -39. Calculate the least common multiple of t and 8.
664
Let m = 0 + -1. Let s be -1*m*(-1 - -1). Suppose s*j = -j + 7. What is the least common multiple of 2 and j?
14
Let z(p) = p**2 - 6*p. Suppose 5*x = -4*j + 33, 4*x + 14 = 2*j + 6*x. What is the lowest common multiple of z(7) and 5*j - (-3)/(-3)?
63
Let k = 18555 + -222793/12. What is the common denominator of 79/2 and k?
12
Calculate the least common multiple of 1 and (-10 + 11)/(-1 - 12/(-10)).
5
Let n = 0 + -2. Suppose 21*o - 140 - 70 = 0. Calculate the smallest common multiple of o and (-10 + -1)/(n/2).
110
Let d(j) = 2*j - 18. Let o be d(12). Calculate the least common multiple of 20 and 10/o*(-36)/(-10).
60
Find the common denominator of 3/(-5) + (-2)/((-540)/(-1398)) and -2 - (99/10 + -2).
90
Let w = -46791/2012 - -3/503. Calculate the common denominator of w and -113/28.
28
What is the common denominator of (49/(-5))/(5/((-125)/180)) and 103/28?
252
Let t be (0 + 2/(-212))*-10. Let o = 707518556/159 + -4449784. Let i = o + t. Calculate the common denominator of i and 4/11.
33
Let w = 34938/11 - 3172. Find the common denominator of w and -70/3.
33
Let i = 10703/4 + -2698. Calculate the common denominator of i and -31/60.
60
Let o = -10 + 10. Suppose -4 = 3*s + 3*u + 2*u, o = s - 4*u - 10. Calculate the smallest common multiple of s and 22.
22
Suppose -5*q = 3*a + 104, 0*a - 124 = 3*a + q. Let b = -93/5 + 37/2. Find the common denominator of b and 1/((6/a)/3).
10
Suppose 2*y - 36 = -y. What is the lowest common multiple of y and 8?
24
Suppose -144*t - 36 = -147*t. Let z(n) = -4*n - 2. What is the smallest common multiple of z(-4) and t?
84
Suppose -22*x + 17*x + 35 = 0. Let p = 0 + 1. Let i(y) = 3*y**2 - 2*y + 1. Calculate the smallest common multiple of x and i(p).
14
Let g be (0 - -2 - 35)*-3. Let z = 10357/1218 - 2/609. Calculate the common denominator of -2 + g/15 + -1 and z.
10
Suppose 2*i + 38 = -138. Calculate the common denominator of 206/i - (-1)/(-4) and -33/8.
88
Let b be -1 + 4/(48/791). Let i = b + -209/12. What is the common denominator of ((-393)/(-4))/(18/(-4)) and i?
6
Calculate the common denominator of 85/24 and -1 + (-85)/(-7)*(-42)/(-144).
24
Suppose 4*v = 6*v - 44. Calculate the lowest common multiple of v and 12.
132
Let m = 105/284 + 4033/710. Let s(u) = -u + 5. Let c be s(6). What is the common denominator of 10/(-4) - c/(-4) and m?
20
Let z(o) = -3*o**3 + 4*o**3 + 8*o + 6*o**2 - 3 + 4*o**2. What is the lowest common multiple of 16 and z(-9)?
48
Suppose -16 = -2*h - 2*h, -4*a + 88 = -h. Let f = a + -15. Let i(m) = m + 3. Calculate the smallest common multiple of i(5) and f.
8
What is the common denominator of 1/18 and 130/(-28) + 20/(-10)?
126
Let b = 35214 + -247323/7. Let j = 808/7 + b. Calculate the common denominator of j and -51/10.
70
Let h = 1 - -1. What is the smallest common multiple of h and 2?
2
Let o(a) = -a**2 - 10*a - 3. Let k be -10*((-36)/(-8) - 4). Calculate the least common multiple of 4 and o(k).
44
Let a be 1009/(-63) + (-4)/18. Let z = -82/21 - a. Calculate the common denominator of 39/8 and z.
24
Let s = -17 + 21. Calculate the least common multiple of s and 7.
28
Let f = -5 + 6. Suppose 5*l - 47 = -2*m, -l - 2*m - f = m. What is the lowest common multiple of 11 and l?
11
Calculate the smallest common multiple of (20/3)/(1/3) and (-5)/5 - (-17 + 4).
60
Let i be (29 + -13)*38/8. Suppose 7*m - 3*m + i = 0. Find the common denominator of m and 17/9.
9
Let r(i) = -i**2 - 6*i + 3. Calculate the least common multiple of 90 and r(-5).
360
Let f = 1585/78 - 522/13. Let j be 166/72*(1 - -4496). Let s = j + -10379. What is the common denominator of f and s?
12
Let a(p) = 6*p**2 - 2*p + 2. Suppose 5*b = -15, 5*w - 2*b = 12 + 4. What is the lowest common multiple of a(w) and 14?
154
Suppose 3*d - 6 = 18. Let s be (1 - -19)/((-4)/(-4)). Let r = s - 8. Calculate the least common multiple of r and d.
24
Calculate the common denominator of 19/(-6) + (-2)/1 and 19/10.
30
Let w = -26251/234 - -1540/13. What is the common denominator of -77/6 and w?
18
Let k(r) = r**2 + 9*r - 34. Calculate the least common multiple of k(-13) and 6.
18
Suppose -4 = 3*w - 3*f - 19, 0 = -5*w - 2*f - 3. Suppose -2*k = 3*r + 3*k + 6, -5*r + 5*k = -30. Calculate the least common multiple of w and r.
3
Let s(f) = -15*f - 9. Calculate the lowest common multiple of 11 and s(-2).
231
Suppose -g = -3*v + 14, 4*g + 8 = -5*v + v. Let c = 7 + g. Calculate the least common multiple of 20 and c.
20
Suppose 0 = -3*q - 12, 4*g = -0*q + 2*q - 136. Find the common denominator of (1 - -18)/(g/(-45)) and 45/11.
44
Suppose 11*d - 17*d = -120. Let j = -16 - -32. What is the lowest common multiple of d and j?
80
Suppose 8*p - 94 = 2. Calculate the smallest common multiple of 16 and p.
48
Suppose -t - 16 = -4*n, -2*t - 3*t - 5*n = 105. Let r(i) = i**3 + 4*i**2 + 2*i - 4. Let f be r(-3). Calculate the common denominator of (2*f)/(8/(-52)) and t.
1
Let n be ((-4)/5)/((-8)/20). Suppose 4*z = n*z - 12. Calculate the common denominator of ((-57)/(-6))/(z/16) and 10/11.
33
Let z be (-3)/12 + 17/4. Suppose z*a = 9*a - 10. Calculate the lowest common multiple of 7 and a.
14
Let y be -2 + -149*(-18)/(-412). Let 