Let f = x + 1399/1584. Calculate the common denominator of f and 77/2.
18
Let q = -3731/30 + 356/3. Find the common denominator of 83/18 and q.
90
Let u = -28861 - -143841/5. Let m = 3947/40 + u. What is the common denominator of 99/8 and m?
8
Suppose 4*o = -2*m + 34, -2*o + 69 = 5*m - 0*m. Let i = m - 5. Calculate the smallest common multiple of (-2)/8 + 178/i and 6.
66
Let y = -2 - -5. Suppose 3*x - 55 = 3*a - 13, 0 = -a - 3*x - 30. Find the common denominator of a and -7*(2 + (-2)/y).
3
Suppose -3*y - 5*c - 14 = 0, -y = -4*y - c + 2. Calculate the smallest common multiple of y and 40.
40
Let c be (417 - 0) + -1*3. What is the common denominator of (-50)/7 + 2 + 2 and (c/21)/3 + -2?
7
Suppose 5*d + 0 = -5. Find the common denominator of 121/6 and 63/12*(-4 - d).
12
Let w be (-1163757)/(-203832) + (-6)/(-9). Let q = 113293786/2831 - 40019. Let g = w + q. Find the common denominator of -75/8 and g.
8
Suppose -10 - 5 = -3*t. Suppose 0 = p + 5*h - 14, t*h = -2*p - 5 + 13. What is the smallest common multiple of p/3 - 3/(-1) and 10?
10
Suppose 7 = r - 12. Suppose -4*j + r + 13 = 0. What is the smallest common multiple of 1 and j?
8
Suppose 15 = 5*g, 3*b = -g + 9 + 21. Let z = b + -3. Calculate the lowest common multiple of 12 and z.
12
Let w(u) = u**2 - u + 4. Let o be w(0). Suppose o*z - 32 = 2*z. What is the least common multiple of z and 2?
16
Suppose 2*x = -5*h + 1 - 18, -h - 2*x - 5 = 0. What is the smallest common multiple of (1/h)/(6/(-36)) and 9?
18
Let p(a) = -a**3 + 8*a**2 + 7. Let m be (18/3)/((-3)/3). Let x = 9 + m. What is the least common multiple of x and p(8)?
21
Let g = -476/9 - -6242/117. Find the common denominator of g and 1/9.
117
Suppose -4*y + 0 = 20. Let p = y + 5. Suppose 3*l + 0*l - 66 = p. Calculate the smallest common multiple of 22 and l.
22
Let d = -988 - -2912/3. What is the common denominator of -71/3 and d?
3
Let m = 16 + -15. Calculate the lowest common multiple of 11 and m.
11
What is the lowest common multiple of 10 and 4 + 3*(-8)/(-6)?
40
Suppose 12 = 4*f - 4*a, 4*a = -0*f + 3*f - 4. What is the least common multiple of f and 7?
56
Suppose 2*p - 23 - 17 = 0. Calculate the lowest common multiple of 20 and p.
20
Find the common denominator of -62/5 and (-20)/(-14)*((-142)/(-30) + -5).
105
Let u(o) = -2*o - 2. Suppose 0 = -0*t - 5*t + 10. Let z be u(t). Find the common denominator of -109/6 and 4/z + (-142)/(-33).
66
Calculate the common denominator of 44/1*18/96 and (-4 - -6) + 64/14.
28
Let n be (-2)/6*-3 + 3. Suppose 0 = -o - 3*o - n, 0 = -5*m + o + 31. What is the least common multiple of m and 18?
18
Suppose -3*s + 7*s = 5496. Let c = -19191/14 + s. Let y = -19349/490 + -3/245. Calculate the common denominator of y and c.
14
Let j = 913/2 + -512. Let p = j + 403/6. What is the common denominator of -19/6 and p?
6
Suppose 0 = 2*f - f. Let z be 123/6*(-2 - f). Find the common denominator of 81/4 and 6/20*z/6.
20
Suppose 5*h + 0 = -5. What is the common denominator of (82/4)/(0 + -5) and ((-8)/180)/(h/(-80))?
90
Suppose -w = -5*k - 31, 0 = -3*w + 4*k - 25 + 63. Calculate the least common multiple of w and 8.
24
Let m = 36 + -22. What is the smallest common multiple of m and 12?
84
Let k = 24495/11 - 2230. Let d = 269/40 + -33/8. Find the common denominator of d and k.
55
Let s(c) = 9*c**2 - c. Suppose 0 = -14*o - 38 + 150. Calculate the least common multiple of s(1) and o.
8
Suppose 3*f - 9 = 2*f + 5*l, 3*l + 3 = 0. Calculate the lowest common multiple of f and 20.
20
Suppose 3*a + 5*p = 9, -8*a + 3*a + 37 = p. Let j be (6/a)/(3/(-2220)). Let d = j + 2183/4. Calculate the common denominator of d and 107/18.
36
Let i(q) = q**3 - 4*q**2 - 8*q + 8. Let y be i(5). Let o = y - -9. Calculate the lowest common multiple of 6 and o.
6
Let x = -1/357 + -655/21063. Calculate the common denominator of x and 0.
59
Let a(x) = x**2 + 4*x - 5. Let o be a(-5). Suppose h - 7 - 14 = o. What is the common denominator of -93/4 and h?
4
Let o = 56075/12 + -4670. Find the common denominator of o and 4/3.
12
Let v(g) = g**2. Let s be v(0). Suppose -3*f + a + 12 = s, f + 4*f - 13 = 4*a. Calculate the smallest common multiple of 3 and f.
15
Let v be (3 + -6)*(1 + -2). Suppose -1 = v*k - s - 14, -s + 17 = 2*k. Calculate the lowest common multiple of k and 9.
18
Let x = -44 + 58. Suppose 8 = 3*w + 2. What is the least common multiple of w and x?
14
Let w(g) = g**2 + 5*g - 4. Let f(r) = -r + 5. Let i be f(3). Suppose -i*y + 3*l = -5*y - 27, 4*l = -4. Calculate the least common multiple of 10 and w(y).
20
Suppose 4 + 2 = r. What is the common denominator of (-6)/(-2) + r/(-8) and -38?
4
Let h = 6047/12 - 505. Calculate the common denominator of h and -51/38.
228
Let q = -44507/918 + -8/459. Let n = 2829 + -11371/4. What is the common denominator of n and q?
4
Let y = -155489/18 - -8636. Find the common denominator of y and 95/14.
126
Suppose 2*d = 3*d - 17. Let o = d - 5. Let w = -7 - -11. Calculate the lowest common multiple of o and w.
12
Suppose 0 = -2*g - 21 + 25. Suppose 0*a + 5*a - 8 = g*i, -4*i = -a - 2. Let y(b) = b**3 - 6*b**2 + 7. Calculate the smallest common multiple of i and y(6).
7
Let i(j) = j**2 + 5*j - 20. Suppose -2*w + 5*k + 12 + 8 = 0, -5*k = 0. Calculate the least common multiple of i(-8) and w.
20
Let a(f) = f**3 - 4*f**2 + 3*f - 1. Let z be a(3). Calculate the common denominator of 41/22 and 2/z - (-100)/(-48).
132
Let h = 31 - 25. Suppose 2*b + h = i - 17, 2 = -i - 3*b. Calculate the lowest common multiple of 5 and i.
65
Let j be 4/(((-24)/(-9))/4). What is the least common multiple of (1/2)/(j/24) and 10?
10
Let t(w) = -2*w + 6. Let z be t(4). Let u = 35 + -255/8. Calculate the common denominator of (z/(-36))/((-2)/116) and u.
72
What is the common denominator of 15/8 and (-27)/(-33)*10/6?
88
Let t be ((-5226)/(-9) + -3)*78. Let r be t/(-2172) - 0/(-7). Let p = r - 16/181. What is the common denominator of 11/10 and p?
30
Let x = -13588 + 326021/24. Calculate the common denominator of x and 25/6.
24
Suppose 4 - 13 = -v. Calculate the least common multiple of (-31)/(-5) + (-3)/15 and v.
18
Let g be (2/3)/(4/12). Suppose -q = 4 - 0, g*d - 2*q - 16 = 0. Suppose -3*o + d*o = -6. Calculate the common denominator of o and 53/9.
9
Let u = 9 - -3. Calculate the least common multiple of 10 and u.
60
Suppose 0 = -7*n + 4*n - 3, -5*n = k + 35. Let m = k + 14. Find the common denominator of 113/20 and (-10)/(-3)*60/m.
20
Calculate the lowest common multiple of 4 and (38 - 31)*18/7.
36
Let b be 2 + -2*10748/(-22). Let i = -1508 - -525. Let l = b + i. What is the common denominator of -73/10 and l?
110
Let u = 88 - 85. Calculate the smallest common multiple of 54 and u.
54
Let v(w) = 4*w**3 - 2*w**2 + w - 2. Find the common denominator of 195/25 + -6 - 2/(-5) and v(2).
5
Suppose u = -u + 6. Suppose 5*r = 2*j + 3*r - 8, -u*j - 3*r = -42. Let g = 17 - j. What is the smallest common multiple of 4 and g?
8
Let z(c) = -c**3 - 7*c**2 + 4*c - 14. Calculate the smallest common multiple of z(-8) and 12.
36
Suppose 36 = -9*x + 12*x. What is the smallest common multiple of x and 4?
12
Let h = -449947/55668 - 3/4639. Calculate the common denominator of h and -19/12.
12
Suppose 4*j - 5*l = 64, 4*l = -j - j + 32. Calculate the common denominator of -2 + 3 + 22/j and -1/5.
40
Let d = 11 - 13. Calculate the common denominator of -67/3 and d.
3
Let h = 30 + -12. Suppose -47 = -q + 5*z, -16 = 2*q + 3*z - 45. What is the smallest common multiple of h and q?
198
Let i = 65153/126 - 3585/7. What is the common denominator of 85/56 and i?
504
Calculate the common denominator of (1/(-25))/(92/10235) and 125/6.
60
Let z be (-2 - -7)*(-96)/10. Let v = -28 - z. Suppose 0*k - v = -k. What is the smallest common multiple of k and 10?
20
Let d(v) = -v**2. Let c(b) = -4*b**2 + b + 3. Let h(l) = c(l) - 5*d(l). Calculate the common denominator of -9/4 and h(-5).
4
Suppose -9*i = -34*i + 200. Suppose 2*v - 12 = v. Calculate the lowest common multiple of i and v.
24
Let q be ((-1)/(-9548))/((-3)/(-233034)). Let u = 5/682 + q. What is the common denominator of 9/2 and u?
14
Let a = 5641/5 - 1123. Suppose 0 = -4*x - u - u + 92, -x + 4*u + 32 = 0. What is the common denominator of (x/(-22) - -2)*2 and a?
55
Let i = -253/24 + 203/12. Calculate the common denomina