the common denominator of -97/8 and b.
40
Suppose -4*f - 3*d + 8 = 0, 0 = -7*d + 2*d - 20. Let t = 13 - f. Calculate the least common multiple of 6 and t.
24
Let u = 20 + -15. What is the lowest common multiple of u and 3?
15
Let q(i) = -i**3 + 3*i**2 + 4*i + 2. Let b be q(4). Suppose b*a + 2*f - 80 = -3*a, a - 5*f - 43 = 0. What is the least common multiple of 22 and a?
198
Suppose 4 = 3*j - 2. Suppose 0*s + t = s - 6, 5*s - j*t - 39 = 0. Calculate the smallest common multiple of 16 + 0*3/s and 22.
176
Suppose 0*b + 4*t + 36 = 3*b, 13 = b - t. Calculate the lowest common multiple of b and 2.
16
Let w(s) = 2*s**2 - 7*s + 3. Let y(i) = -i**3 + 3*i**2 + i + 1. What is the smallest common multiple of w(5) and y(3)?
36
Let d be (-1 - 0)*(-15 - 6). What is the lowest common multiple of 20 and d/3 + -1 + 2?
40
Let r(n) = -n**2 + 10*n + 9. Calculate the smallest common multiple of r(9) and 16.
144
Suppose -7*m = -71 - 34. Calculate the least common multiple of m and 27.
135
Let b = 19 - 14. What is the least common multiple of 18 and b?
90
Suppose -4*s + 707 = 5*b - 10*b, -5*s = -b - 154. Let d = 1171/8 + b. Find the common denominator of -131/18 and d.
72
Let x = -38159/48 + 2369/3. Suppose c + c = -716. Find the common denominator of 2/6 - c/(-48) and x.
16
Calculate the least common multiple of (-2)/5 + (-72)/(-5) and 14.
14
Suppose 0*v + 3*v + 20 = 2*u, 0 = -5*u + 5. Let l be ((-66)/9)/((-1)/v). Find the common denominator of 107/20 and (-129)/15*10/l.
220
What is the common denominator of 9/5 and ((-32)/30)/(36/(-30))?
45
Let p = -43 - -61. Calculate the smallest common multiple of 16 and p.
144
What is the least common multiple of 1 + (0/(-3) - -2) and (4/3)/(-2) + 1505/129?
33
Let o = -15603/10 + 1549. Calculate the common denominator of -113/20 and o.
20
Suppose 2*n = 3*w - 12, 4*n + 22 - 4 = 5*w. Find the common denominator of (-1 + w)/((-6)/(-29)) and 37/2.
6
Let h = -1495/2 + 788. What is the common denominator of -111/14 and h?
14
Suppose 0 = 9*a - a - 80. What is the smallest common multiple of 4 and a?
20
Suppose 4*i + 170 = 834. What is the least common multiple of i/7 - (-2)/7 and 10?
120
Suppose 0 = 4*r + 5*s - 45 - 20, 5 = s. Calculate the least common multiple of r and 4.
20
Let t be (4/4)/((-2)/(-4)). What is the common denominator of -38/7 and 1/t + 100/32?
56
Let z = 3347 + -26829/8. Suppose u - b + 441 = 2*b, 3*b = 5*u + 2181. What is the common denominator of z and (u/(-270))/(2/(-6))?
24
Suppose -2*r - 4*t + 19 = -21, -3*r + 52 = 2*t. Suppose f - 13 - 1 = 0. What is the least common multiple of f and r?
112
Let j = -626/3 + 204. Find the common denominator of -137/30 and j.
30
Let j = -8 + 12. Suppose j = d - 2. Suppose -v + d = 4. What is the least common multiple of v and 11?
22
Let t = 17 - 9. Calculate the least common multiple of t and 12.
24
Let t = -9 + 13. Suppose -2*f + 5*p = -0*f - 17, 67 = t*f + p. Calculate the smallest common multiple of f and 22.
176
Suppose -8 = -2*b + 4*x, -5*x + 7 - 20 = -3*b. Calculate the smallest common multiple of b and 9.
18
Suppose 2*u + 1 - 3 = 3*a, 2*a - 4*u = -12. Let k = 8 - a. Calculate the smallest common multiple of 6 and k.
6
Let o = -3 + 13. What is the lowest common multiple of 3 and ((-45)/25)/((-2)/o)?
9
Let s = -1 - 14. Let d = 7215 - 101061/14. Calculate the common denominator of (35/s)/(4/9) and d.
28
Let z be (-2)/5 - (-691)/45. Let c be (-104)/12*2/(-60). Let g = z - c. What is the common denominator of 20/3 and g?
3
Suppose -n + 3 = 0, 186 = -0*m - 3*m - 2*n. Let k = m - -176/3. Find the common denominator of k and -47/8.
24
Let g = -15 + 26. Calculate the smallest common multiple of 29 and g.
319
Find the common denominator of 1/15*3*-18 and -53/10.
10
Let q = -6 - -18. What is the least common multiple of 18 and q?
36
Let x = -18517/6 + 65774/21. Let v = x + -3680/77. Calculate the common denominator of v and -77/2.
22
Let z(u) = 8*u - 21. What is the lowest common multiple of z(6) and 24?
216
Suppose 7 = -n - 13. Calculate the smallest common multiple of 2 + (-8)/(20/(-5)) and 4/6 - n/6.
4
Suppose 56 - 17 = 3*x - 5*c, 4*c - 12 = -3*x. Let i(o) = -o**2 - 5*o + 7. What is the lowest common multiple of i(-6) and x?
8
What is the common denominator of -5/6 and (-2 + (-13)/(-7))*327/(-6)?
42
What is the common denominator of -9/2 and (188/6)/(-1*2)?
6
Suppose 0 = -3*o - 0*o + 177. What is the common denominator of ((-3)/18)/(2/o) and -11/18?
36
Let h = 21 - -1. What is the lowest common multiple of 22 and h?
22
Suppose 72 = -4*v - 2*t, 4*v + 25 = 3*t - 27. Calculate the common denominator of 45/8 and v/(-104) - (-11)/182.
56
Suppose -11 = i - 4*a, i + 3*a - 3 = 7. Let m = 2/561 + 6722/2805. Find the common denominator of m and (110/(-2*i))/7.
35
Let d(f) = 2*f + 6. Let y(q) = q**2 + 4*q + 2. Let n be y(-5). What is the lowest common multiple of 14 and d(n)?
140
Let l = 58547/24850 - -2/1775. What is the common denominator of -87/16 and l?
112
Calculate the common denominator of 95/4 and (1/(-2))/((-3)/(-38)).
12
Suppose 0 = 4*h - 3 - 13. Let i = -2 + h. Let u = 6 + i. What is the least common multiple of u and 4?
8
Let k = 158 + -224. Suppose -y + 6*p + 11 = 3*p, -4*y - 2*p - 12 = 0. Calculate the common denominator of -77/16 and y - 113*3/k.
176
Let o(a) = 11*a**2 + 3*a + 1. Calculate the least common multiple of o(-1) and 6.
18
Let j be 2/(-10) + 27402/10. Suppose -4*b = 3*k + k + 16, 4*k = 2*b + 14. What is the common denominator of (-1)/b*j/(-24) and 24/7?
42
Suppose -5*h - 17 = 3*l, 0*l + 5*l = h + 9. Suppose 0 = -s + 1, 0*g - g = s + 2. What is the smallest common multiple of g/(2*3)*-16 and l?
8
Calculate the common denominator of 69/8 and 6/(-90)*(-558)/(-8).
40
Let h(r) = -2*r**2 + 6*r - 1. Let i be h(5). Let c = i + 62. What is the common denominator of (c/(-24))/((-2)/4) and -67/4?
12
Let m(l) = 2*l - 7. What is the least common multiple of m(6) and 4?
20
Suppose -2*o = -0*o + 3*f - 3, 0 = 3*o - 5*f + 24. Let j = 37 - 61. What is the common denominator of 51/20 and (57/j)/(-1)*o?
40
Suppose 0 = 3*q - 3*f - 3 - 0, q + 19 = -3*f. What is the common denominator of q and 34/4*14/(-49)?
7
Suppose 4*a - 11 = -5*f, 2*f + 1 = -5*a + 2. Calculate the least common multiple of 2/(-4)*-5*2 and f.
15
Suppose n = 3*n - 44. Suppose n = 5*w - 158. What is the smallest common multiple of w and 10?
180
Suppose 0 = -2*h - h - 33. Let a = h + 10. What is the common denominator of -37 and 252/77 - 1*a?
11
Let y = -3167/126 - -174/7. What is the common denominator of y and 69/22?
198
Let t = -1991/28 + 552/7. Let g = -6642 - -14849. Let y = g - 180595/22. Calculate the common denominator of t and y.
44
Suppose -u + 4*n = -20, -6*u + 3*u - 2*n = -4. What is the smallest common multiple of u and 2 - (0 - 16/2)?
20
Suppose 5*f - 80 = t, 5*f + 5*t = 42 + 38. Let s(y) = 3*y - 15. Let q be s(10). Let d = 27 - q. What is the smallest common multiple of d and f?
48
Suppose 3*x - 5 = 1. What is the least common multiple of 3/4 + 85/20 and x?
10
Suppose -g - 69 = -4*a - 20, 0 = 4*a + 2*g - 46. Suppose 0 = 4*j - j - a. Calculate the smallest common multiple of j and 12.
12
Let a(l) be the first derivative of -l**3/3 - 3*l**2 - 2*l + 2. What is the lowest common multiple of a(-5) and 5?
15
What is the common denominator of (0 + -1)/((-36)/(-228)) and (2 + 46/(-32))*-2?
24
Let t = -5 + 12. Let f(i) = i - 5. Let j be f(t). Suppose -j*k + 4*k = 36. What is the lowest common multiple of k and 16?
144
Let b(g) = -g - 37*g - 15 - 12*g. Let m(c) = 7*c + 2. Let z(y) = -2*b(y) - 15*m(y). What is the smallest common multiple of z(-2) and 6?
30
Let y = 11 - 8. Calculate the common denominator of 53/(-18) + (-2)/y and 63/2.
18
Suppose 1 = y - 3. Suppose -y*f + 5458 = -f - s, 3*f = 4*s + 5443. What is the common denominator of f/(-168) + 4/(-14) and 71/6?
24
Let q(p) = p**2 - p - 1. Let v(o) = -2*o**2 - o + 2. Let s(x) = q(x) + v(x). Let f be s(-4). Calculate the common denominator of -17/2 and f/(((-54)/33)/3).
6
Suppose 3 = -d - 1. Let m = -2 - d. Suppose -2*k + 16 = m*c, 5*c - k = k + 68. What is the smallest common multiple of 10 and c?
60
Let z be 2*(4/2 - 0). Suppose 0 = -z*l - 31 + 7. Let t = 8 - l. What is the least common multiple of t and 10?
70
Suppose m - 4 = 4*b - 3*m, 10 = 2*m. Calculate