)/1221. Let a = v + -6927/3256. Calculate the common denominator of -1/10 and a.
40
Let g = -6 - -8. Suppose 0 = -g*k + 2*h + 22, 4*k + k - 5 = -5*h. What is the least common multiple of 20 and k?
60
Let m(n) = -n**3 + 10*n**2 - n + 4. Let c be m(10). Calculate the common denominator of 3/c + 37/(-16) and 13/16.
16
Let c = -52727/47671 + 2/2509. Calculate the common denominator of c and 69/10.
190
Suppose 0 = 5*r + 7981 + 4139. Find the common denominator of 3/5 + r/(-560) and -47/20.
140
Let u = 17 + 12. Suppose 0 = -3*a - 2*h - 235, a + 26 + u = 4*h. Find the common denominator of (a/(-36))/(-5) + -1 and -95/2.
12
What is the common denominator of -61/33 and (15 - 11) + 89/(-24)?
264
Let y = -595/4 + 148. Find the common denominator of y and 65/2.
4
Calculate the common denominator of -53/16 and (3/(-6))/((-4)/(-164)).
16
Let w(b) = -b + 8. Calculate the least common multiple of (1/(-1) - -2) + 15 and w(2).
48
Suppose -24 = -5*a + 36. What is the lowest common multiple of 24 and a?
24
Suppose 3*b - 27 = 3*r, -102 + 30 = -5*b - 4*r. Suppose 2*q = 5*q - b. What is the lowest common multiple of (1 + 0)*1 + 13 and q?
28
Suppose -70 = -4*h - h. Let m(r) = r + 5. Let s be m(-3). Suppose 0 = 3*i + s*i - 50. Calculate the least common multiple of h and i.
70
Suppose 5 - 85 = -8*i. Let x(r) = r + 5. Calculate the least common multiple of i and x(0).
10
Let a(u) = u - 8. Let l be a(4). Calculate the common denominator of (-2)/l - (-11)/(-12) and -53/2.
12
Let g(v) be the first derivative of 7*v**2/2 - 1. Suppose 5*n = 5*o - 20, -11 = 3*o + o + 5*n. What is the smallest common multiple of o and g(1)?
7
Let t be (-24)/(-20)*(-10)/4. Calculate the least common multiple of 10 and -3 - t/(3/5).
10
Suppose 3*r - 15 = -2*r. What is the smallest common multiple of r and 10?
30
Let j = -4730715/8 + 593671. Let k = 2321 - j. What is the common denominator of -109/6 and k?
24
Let h = -10 - -20. Suppose -2*b = -3 + 17. Calculate the lowest common multiple of h and (-1 - b)/((-2)/(-6)).
90
Let x = 194507/20 - 9721. What is the common denominator of x and -145/18?
180
Suppose -4*f + 6 = -54. Suppose 0*n - 3*a - 27 = -2*n, -5*n - 3*a = -f. Calculate the least common multiple of 8 and n.
24
Suppose 8 + 0 = 4*h. Suppose -4*l = -6*l - 28. Let k = l - -24. Calculate the lowest common multiple of h and k.
10
Let s = 24 - 35. Find the common denominator of -23/4 and (s/(-11))/((-11)/(-45)).
44
Let c = -11 + 8. Let d(t) = -4*t + 4. Calculate the lowest common multiple of d(c) and 12.
48
Suppose 4*s - 54 = 5*u + 3*s, -5*u = -5*s + 50. Let a = 21 + u. What is the smallest common multiple of 11 and a?
110
Let d = 14 + 36. Calculate the smallest common multiple of 40 and d.
200
Let v be 46*((-411)/(-6) - -1). Let p = 12697/4 - v. Calculate the common denominator of p and -85/2.
4
Let b = 2785/19 - 629125/4294. Let z be (-109)/678*2646/36. Let u = z + b. What is the common denominator of -71/3 and u?
12
What is the least common multiple of (-1 + 0)*2 + 20 and 18?
18
Suppose -5*i + 98 = 33. Suppose -i = 5*s - 4*s. What is the common denominator of s and 51/11?
11
Let m = 19547/6 - 3282. Calculate the common denominator of 3/4*340/(-6) and m.
6
Let f be (7 + -1)*(-2)/(-4). Suppose f*c = c + 8. Find the common denominator of 102/(-45)*(-3)/c and 51/10.
10
Let g be (-4)/6 - (-3510617)/(-839220). Let n = g + -2/13987. Find the common denominator of n and -77/18.
180
Suppose 4*c = -0*c + 40. What is the lowest common multiple of c and (-15)/4*(-16)/6?
10
Suppose -2*m + 45 - 13 = 0. What is the lowest common multiple of m and 16?
16
What is the common denominator of 101/16 and 2/6 + ((-1605)/(-36))/(-5)?
48
Let h = 7 - 9. Calculate the common denominator of h + 5 + 63/66 and -67/16.
176
Let w = 4594993/379 - 12124. Let g = w + 7222/2653. What is the common denominator of -38/9 and g?
63
Suppose 25 = 5*l, 2*z + 3*l - 74 - 25 = 0. What is the least common multiple of z and 18?
126
Calculate the least common multiple of 10 and 21/15 + (-6)/(-10).
10
Suppose 10 = 4*q - 2. Suppose -8*z + q*z = 0. What is the common denominator of -31/18 and (1/(-20) - z)*13?
180
Let g = -8707/20 - -437. Find the common denominator of g and 93/2.
20
Let x(f) = 6*f**2 - f - 5. Let w(d) = 13*d**2 - 2*d - 11. Let p(a) = -4*w(a) + 9*x(a). Calculate the least common multiple of 2 and p(3).
14
Let l = 20 + 15. What is the common denominator of 1/(-5)*l/6 and 417/45 + 1/3?
30
Let c = 11 - 7. Suppose -3*k + 2*x + 10 = -k, 0 = k + x - 7. Calculate the least common multiple of c and k.
12
Let a be -2 + (4 - 2) - -5. Find the common denominator of -45/14 and (a/(-90))/(2/14).
126
Suppose -24 = -4*f - 2*o, 5 + 23 = 5*f + 3*o. What is the smallest common multiple of f and 68?
136
Suppose -29 = -2*h + 9. Calculate the common denominator of h and -13/9.
9
Suppose -3*f + 3 = -6. Let y be (-3)/((-5)/((-320)/6)). Calculate the smallest common multiple of 35/(-14)*y/10 and f.
24
Let w = -3 - -11. What is the lowest common multiple of 2 and w?
8
Let j(t) = t + 5. Let y(s) = 2*s**2 + 4*s + 1. Let f be y(-3). Calculate the least common multiple of 2 + (-2 - 4/(-2)) and j(f).
12
Let x = 469/150 + -13/6. What is the common denominator of -52/9 and x?
225
Let o be ((-1)/2)/(4/(-136)). Suppose 0 = -f + 5 + o. Calculate the smallest common multiple of (5/2)/((-2)/(-16)) and f.
220
Let j = 3 - -2. Suppose -3*v + 53 = j. Calculate the smallest common multiple of v and 8.
16
Let m = 7 + -4. Suppose 20 = 5*z - m*t - 28, 19 = 2*z - t. Let v(s) = s**3 + 7*s**2 + 6*s + 4. Calculate the smallest common multiple of z and v(-6).
36
Calculate the least common multiple of ((-12)/(-14))/((-3)/(-168)) and 2.
48
Suppose 3*q = 4*q - 110. Calculate the least common multiple of q and 18.
990
Suppose -5 = -3*c - d, 2*c + 0*d = 4*d + 8. What is the least common multiple of 19 and c?
38
Let h be (-2)/(1 - (1 - 2)). Let u = 13 + -9. Calculate the common denominator of (-202)/u - (h + 1) and 29/16.
16
Let f(g) = 4*g**2 + 2*g + 2. Let r = 10 - -30. What is the smallest common multiple of r and f(-1)?
40
Suppose -3*l - 2*l - 155 = 0. Suppose -18 = 4*o + 58. Let p = o - l. What is the lowest common multiple of 16 and p?
48
Let f = -5 - -13. What is the lowest common multiple of 3 and f?
24
Suppose 3*n = 2*q + 7, -7*n = -2*n + 2*q - 17. Let y be (-20)/n*(-24)/5. Let x = y - 12. Calculate the smallest common multiple of 12 and x.
60
Let s be ((-210)/(-2))/((-8)/(-405)). Let t = s + -5309. Calculate the common denominator of 71/16 and t.
16
Let r = -34 + 62. What is the least common multiple of 6 and r?
84
Let d(k) = 4*k + 18. Suppose 4*o = -0*o + 176. Let z = o - 24. What is the smallest common multiple of z and d(-3)?
60
Let y = -1/511 + 11247/2555. What is the common denominator of 111/44 and y?
220
Suppose 5*a - n - 124 = 0, 4*n = -3 + 7. Let q = 45 - a. What is the lowest common multiple of 10 and q?
20
What is the common denominator of 15/14 and ((-26)/40)/(3 + 14/(-4))?
70
Let r = -23 - -40. Suppose 2*c = 5*t + r, 5*c = -4*t + 20 + 6. Let i(a) = -a + 13. Calculate the lowest common multiple of c and i(11).
6
Suppose t - 5*t + 56 = 0. Calculate the least common multiple of 6 and t.
42
Suppose 12*x - 30 - 42 = 0. Calculate the lowest common multiple of x and 10.
30
Suppose j = 2*v - 9, v - 2*j + 1 = 7. Let r(y) = -y - 6. Let s = -9 - 1. What is the lowest common multiple of r(s) and v?
4
Suppose -6*k + 3*k = -2*u + 45, 0 = -5*u - 5*k + 100. Let y = 30 - u. What is the least common multiple of y and 6?
18
Suppose -2*j = 2*b - 30, j - 2 = -1. What is the least common multiple of b and 38?
266
Let d(q) = -q**2 + 4*q + 7. Suppose b - 5 = 3. Calculate the least common multiple of d(5) and b.
8
Let n(h) = h**2 + h + 20. Let q(m) = 2*m**2 + 2*m + 41. Let v(f) = 5*n(f) - 2*q(f). Calculate the lowest common multiple of 20 and v(0).
180
Let b be (10398/50 + 3)/((-105)/50). Let m be (-390)/(-14)*20/(-6). Let s = m - b. What is the common denominator of 9/2 and s?
10
Suppose -3*f - 3*y - 4 = -151, -5*f = -3*y - 261. Let r be (-2 - (-308)/6)*f. Let w = r + -22691/9. Calculate the common denominator of w and 40.
9
Let s = 21 + -13. Let k = s + 3. What is the least common multiple of k and ((-18)/(-4) - -1)*2?
11
Let t = -21195/22 + 966. What is the common denominato