5
Let a = -6045/322 - -486/23. Find the common denominator of 0 - (0 - (-138)/(-44)) and a.
154
Suppose 2*f = 49 - 9. Suppose 2*y + f = 2*n, 2*n + 5*y = -n - 2. Calculate the smallest common multiple of n and 4.
12
Suppose 5 = -3*o + 8*a - 4*a, 3*o + a = 20. Suppose o*v - v = 48. Let f = -12 + 22. Calculate the lowest common multiple of v and f.
60
Let j(f) = -2 - 8*f + 5*f**2 - 4*f**2 + 6*f**2 - f + f**3. Calculate the smallest common multiple of j(-8) and 16.
48
Suppose -53*o + 74 = -32. Suppose -2*v + 3*s = 2*s - 5, v = 5*s - 20. Calculate the smallest common multiple of o and v.
10
Suppose 4*u + 0*u - 12 = 0. Let a be (-3)/((-2)/(-1) - u). Suppose 3*o + 0 = 3*n + a, 2 = n. Calculate the smallest common multiple of o and 11.
33
Suppose -2*i = 2*i - 20. What is the lowest common multiple of i and 11?
55
Let j = 6063 + -1558221/257. Find the common denominator of -6/5 and j.
1285
Suppose 0 = -p + 2*b + 30, -2*p + 4*b - 108 = -7*p. What is the smallest common multiple of p and 36?
72
Let q = 933/20 + -4381/90. What is the common denominator of q and -23/10?
180
Let h(b) = -b**2 - 9*b - 11. What is the lowest common multiple of 9 and h(-5)?
9
Suppose 3*w - 3009 = 2190. Let k = w + -19046/11. Find the common denominator of k and (-446)/24 + (-3)/12.
66
Let h be (-1 - 4)*(-8)/8. Let m = 8 - h. Calculate the common denominator of -31/11 and (-90)/25*4/m.
55
Find the common denominator of (50/(-8) - 0)*14/21 and ((-90)/(-32))/(-5)*14.
24
Suppose 2*r - 2 = -0. Suppose o = 1 + 5. Calculate the lowest common multiple of o/(-7)*r*-7 and 3.
6
Find the common denominator of 35/(-2)*5/(-35) and 79/4.
4
Suppose -h + 14 = 2*p, -3*h + 4*p + 56 = 3*p. Find the common denominator of -3 + (-1)/(h/(-166)) and -3*-1*26/(-14).
63
Let s = -3485/2 - -1710. Let f = s - -33. What is the common denominator of f and 101/8?
8
Suppose -23 = -3*q + 13. Calculate the smallest common multiple of q and 12.
12
Let r be (6/4*-2)/(-1). Suppose -3*t - 9 = -r. Find the common denominator of ((-267)/(-24))/(t/4) and -101/18.
36
Let m be 2*(1 + 2 - 2). Suppose -5 = -3*d - m*d. Suppose -2*q + 4*j = -6, -5*q - j = -23 - 14. What is the least common multiple of d and q?
7
Let y = -10 - -6. What is the lowest common multiple of (-1136)/(-56) - y/(-14) and 16?
80
Suppose q = t - 111, 5*q - 384 = -4*t + 51. Find the common denominator of (-2)/5*t/(-24) and 19/5.
30
Let y(v) = v**2 + 3*v. Calculate the least common multiple of 66 and y(6).
594
Suppose -4*g - g + 25 = 5*v, 0 = -5*v - g + 25. Suppose -2*k + 150 = -v*k + 3*d, 2*k = -d - 94. Calculate the common denominator of (3 - (-747)/k)/3 and 41/14.
112
Calculate the common denominator of -75/8 and (-15)/(-35) + 2705/140.
8
Suppose z + 2*z = -3*l - 72, 3*l - 58 = 2*z. What is the common denominator of z/(1/(7/16)) and -33/4?
8
Let t(g) = -g**3 + 7*g**2 - 6. Let y(h) = 3*h**3 - 21*h**2 + 17. Let f(z) = -7*t(z) - 2*y(z). Calculate the least common multiple of 2 and f(7).
8
Let v = 5 - -4. What is the smallest common multiple of 2 and v?
18
Suppose 4*n = -4, 3*i + 2*n = 2*i. Suppose -3*w - 3 = -2*t - t, 1 = i*w - t. Suppose -p = -0*p - 2. Calculate the lowest common multiple of p and w.
2
Suppose -3*a + 5*q + 10 = 0, -4*q = -a - q + 6. Suppose -4*t + t + 30 = a. Calculate the smallest common multiple of t and 3.
30
Let y = -5 - -7. Let q be y/(2/1)*-4. What is the lowest common multiple of 4 and q/2 + 0 + 12?
20
Suppose -2*r = r - 30. Let x be -1 - (0 + 1 + -4). Suppose 0*v + x = v. What is the least common multiple of v and r?
10
Suppose 4*k + 87 = -f, k + 4*k = -25. Let o = f - -22. What is the common denominator of 109/22 and o/(-144)*(-23)/5?
176
Calculate the common denominator of 4/7 and 3/15 - 92/160.
56
Let j(s) = s**2 + 22*s + 26. Suppose -d = -4*o - 30, -4*d + 0*o = -2*o - 92. Calculate the lowest common multiple of (-1)/(-3) + d/6 and j(-21).
20
Let i(z) = -6*z**3 - 8*z - 8. Let t(v) = v + 1. Let d(f) = i(f) + 8*t(f). Calculate the lowest common multiple of 8 and d(-1).
24
Let x(b) = 14*b**3 - b + 1. Calculate the smallest common multiple of x(1) and 70/15 - (8/(-6) - -2).
28
Suppose 0 = 5*y - 8*y + 60. What is the smallest common multiple of y and 1?
20
Let y = -764131/192894 + -1/7419. What is the common denominator of y and (13/66)/1*3?
286
Let d = -312279/20 - -15619. Calculate the common denominator of 49/30 and d.
60
Suppose -2*a - a + 21 = -c, a = -c + 11. Let z = -25 - -35. Suppose 4*o = 2*u + 14, -2*u - z = 2*o - 2. What is the smallest common multiple of a and o?
8
Let m be (-2)/8 - (-1)/4. Suppose 4*i - 71 = 3*x, m = 2*i + 2*i - 2*x - 66. Suppose -34*o + 828 = 12*o. What is the least common multiple of o and i?
126
What is the common denominator of -79/22 and (-6)/(-33) - 2451/594?
198
Let z = -4 + 4. Calculate the common denominator of -71/28 and 1/(6/(-55)) + z.
84
What is the least common multiple of -3*80/12*6/(-5) and 15?
120
Let s = 247 - 2431/10. What is the common denominator of s and 49/11?
110
Suppose 0 = d - f + 2*f - 13, 0 = 4*d - 2*f - 22. Let w = -6 - -3. What is the smallest common multiple of (-12)/9*w/2 and d?
8
Let r = -15 + 1. Find the common denominator of ((-186)/r)/(-5 - -3) and 47/2.
14
Let u be ((-16)/(-20))/(1/20). Suppose -2*b - 5*o = 18 - 4, 4*b - u = o. What is the lowest common multiple of 6 and b?
6
Let u(s) = -2*s**2 - 11*s - 2. Let j be u(8). Calculate the common denominator of j/(-48) + (-3)/(-9) and (-95)/(-30) - (-2)/9.
72
Let p = 43017/2185 + -447/23. Let d = p - -14011/570. Calculate the common denominator of 2 + 180/(-21) - 0 and d.
42
Let h = -1813 - -32675/18. Let k = -25966612/31263 - -14120/17. Let z = -38539/36780 - k. Find the common denominator of h and z.
180
Let y = 2 + -4. Let q = -211 + y. What is the least common multiple of 4/(-28) - q/21 and 4?
20
Suppose 0 = 9*q - 74 + 11. What is the least common multiple of q and 8?
56
Let s = 1879108513/1201 - -7829757782393/1207005. Let b = 8051552 - s. Let r = 1/201 + b. What is the common denominator of r and -73/2?
10
Suppose 5*d - p + 5*p - 19 = 0, 3*d - 3*p - 6 = 0. Calculate the smallest common multiple of 10 and ((-10)/2)/((-3)/d).
10
Calculate the smallest common multiple of 14 and 1/(44/14 + -3).
14
Suppose -3*y = 5*x - 16, -3*y + 10 = -2*x + 4*x. Let z(m) = x*m**3 - 6*m**2 - m**2 - 3*m**3 - 2*m - 4. What is the smallest common multiple of z(-7) and 8?
40
Let f(k) = k + 2. Let v be f(3). Let m(w) = -w**2 - 13*w - 12. Let l be m(-8). Suppose -v*c + 27 = -l. Calculate the least common multiple of 6 and c.
66
Suppose -7*w + 46 + 108 = 0. Let x = -18 + 11. Let p(l) = l**3 + 7*l**2 - 3*l + 1. What is the lowest common multiple of p(x) and w?
22
Let p = -37 + 49. Calculate the smallest common multiple of 16 and p.
48
Let d(l) = l**3 + 9*l**2 - 6*l - 5. Let p be d(-10). Find the common denominator of 8/(-14)*p/(-4) and 2/(2 - 200/118).
63
Let i = -25/99 + -2/99. Find the common denominator of 48 and i.
11
Let m = 5201/394 + -6059683/4728. Let w = m + 1269. Let c = w + -1/24. What is the common denominator of c and -41/10?
10
Let j be 221/7 - 6/(-14). What is the common denominator of (8/j)/(10/68) and -43/20?
20
Suppose d - 2*d = 3*w + 162, -2*d - 332 = 4*w. Let l = d - -1351/8. Calculate the common denominator of -22/3 and l.
24
Suppose 6*x - 4*x - 12 = 0. Suppose -3*u + 149 + 299 = 4*b, -2*b - 424 = -3*u. Suppose -7*t = 2*t - u. What is the least common multiple of x and t?
48
Suppose w - 20 = -4*w. What is the common denominator of (w/(-16))/(3/208) and 37/6?
6
Calculate the common denominator of 132/72*(-9)/10 and 43/14.
140
Suppose -4*k + m = -5, 6*k - 2*k = -4*m. Calculate the smallest common multiple of k and 37.
37
Let y be (-1 - (-212246)/24) + 0. Let h = y + -8830. What is the common denominator of (-291)/(-9)*(-3)/(-4) and h?
12
Suppose -32 = -f - 5*h, -3*h + 15 = 2*f - 35. Let b(m) = 5*m**2 - 4*m**2 - 2*m - 4 - 3. What is the least common multiple of b(5) and f?
88
Let t = 67011 - 331337/5. Let a = 753 - t. What is the common denominator of (2/6)/(9/(-195)) and a?
45
Let o = 9842 - 216585/22. What is the common denominator of 6/44*(-118)/6 and o?
22
Let v = 2241/2101813 - -4/4229. Let u = -3488/4473 + v. What is the common denominator of (-3)/9 + (-538)/(-12) and u?
18
Let k be 7/21 + (-3259)/(-1342). Let l = -2