 Let o be (-1092)/(-60) - 1/5. Suppose t = -2*a + 4, o = t + 2*t + 3*a. What is the smallest common multiple of v and t?
40
Suppose 4*v - 6 = v. Suppose 0 = -0*i + i - 4*f - 8, 2*i = v*f + 4. Suppose 3*y - 28 + 10 = i. Calculate the smallest common multiple of y and 11.
66
Suppose m + 2*o - 12 = 9, -61 = -3*m - 5*o. Suppose -2*d + 16 = 2*d. What is the least common multiple of d and m?
68
Calculate the common denominator of -31/54 and (34/18)/(472/(-1239)).
216
Suppose -5*a + 22 = -58. Suppose -3*x - g - 2 + 61 = 0, -x = g - 19. Calculate the lowest common multiple of a and x.
80
Suppose z - 41 = 5*i, -z = -6*z - 5*i + 145. Calculate the lowest common multiple of (-2)/4 + 30/4 and z.
217
What is the common denominator of (13/((-7904)/20))/((-12)/27) and 70/9?
5472
Let v(k) = 6*k + 25. Let g(h) = -5*h - 25. Let l(z) = 5*g(z) + 4*v(z). Let c be l(-21). Calculate the common denominator of -56/9 and (-2)/4 - 100/c.
18
Suppose -k + 5*d = -4, -68 = 5*k - 4*d + d. Find the common denominator of k and -1/9.
9
Let h be 30631/(-3005) + (-16 - -21). Let f = -4/601 + h. What is the common denominator of -20/51 and f?
255
Let s be 28838/(-7) - (-2)/(-7). Let c = s + 45289/11. Find the common denominator of c and -39/5.
55
Suppose 3*s - 403 = 2*z, 2*s - z - 269 = -0*z. What is the common denominator of 30 and 348/s + 2 + (-2)/(-10)?
9
Suppose 25 = 5*j, -b - j - 34 = 19. What is the least common multiple of 8 and -3 + 32/10 - b/10?
24
Suppose -5*i + 380 = -i. What is the common denominator of (-1)/(((-240)/i)/(-4)) and -37/20?
60
Let o = 32 - 28. Suppose -3*u - 12 = u, -o*u = s - 10. Calculate the lowest common multiple of s and -1*(-1)/(1/20).
220
Let m(i) = 2*i**3 + 2*i**2 + i - 2. Let j be m(2). Calculate the common denominator of (4/j)/(20/78) and -77/20.
20
Let q = -56 + 34. Let y = q - -38. Calculate the lowest common multiple of y and 24.
48
What is the least common multiple of 25/(-300) - (-5906)/24 and 8?
984
Suppose 9*r = 6 + 12. Let z(g) = -g**3 + 5*g**2 - 2*g + 3. Calculate the lowest common multiple of z(r) and 6.
66
Let o(h) = h**2 - 6*h + 11. Let q = -5 + 6. Calculate the lowest common multiple of 2 + q*(1 - -1) and o(5).
12
Suppose -753*y = -762*y + 72. What is the least common multiple of 177 and y?
1416
Let g = 392 - 194. What is the least common multiple of 30 and g?
990
Let y be (33*3/18)/(1/2). Suppose 0*i + i - y = 0. What is the smallest common multiple of i and 11?
11
Let w(f) = -f**3 - f - 14. Let z be w(0). Let i be (z/6)/(2/(-12)). Suppose -3*a + 16 = -i. Calculate the least common multiple of a and 6.
30
Suppose 3*b - 4*d - 134 - 60 = 0, -193 = -3*b + 5*d. What is the least common multiple of 3 and b?
66
Let x(g) be the third derivative of g**5/60 - 13*g**3/6 + 4*g**2. Calculate the least common multiple of 11 and x(4).
33
Let v(o) = o**2 - 47*o - 311. Calculate the smallest common multiple of 166 and v(53).
1162
Let m = -1385174/55 + 25184. Calculate the common denominator of 33/5 and m.
55
Let d = -13052003/80594 + 9554/59. Let q = d - -45539/118842. What is the common denominator of q and -97/12?
348
Let k(b) = b**2 + 19*b - 64. What is the lowest common multiple of k(3) and 546?
546
Let u = 6 - 2. Suppose 0 = -2*w - 2*s + 8, s = -w - u*w + 20. What is the lowest common multiple of 93/279 + (0 - 58/(-6)) and w?
20
Find the common denominator of 182/(-30) - (-2 - (3 + -5)) and -9/8.
120
Let d(s) = s**3 + 7*s**2 - 13*s + 5. Calculate the lowest common multiple of d(-7) and 66.
1056
Suppose 82528 = 6*y - 22*y. Let a = y + 41323/8. Let q = 6224 + -87181/14. Find the common denominator of a and q.
56
Let q = -31/738 + 4/41. Let o = 215 - 138. Find the common denominator of (-43)/o - (48/(-42))/4 and q.
198
Suppose -y - 5 = -2*m, 20 = -2*m - 3*y + 5. Suppose -2*d + 42 - 2 = m. Calculate the lowest common multiple of d and 12.
60
Let q be (-458)/44*6486 + -3. Let a = 68060 + q. Let d = 543 - a. Find the common denominator of -36/5 and d.
55
Suppose -89 - 55 = -4*n. Suppose 3*b = 5*h + 14, -4*b - 2*h + 0*h = -n. Let t = 175 + -174. Calculate the least common multiple of b and t.
8
Let n be (-3734)/7476 - (-1)/2. Let g = -203681/74760 - n. Calculate the common denominator of -59/8 and g.
40
Let c(u) = u + 10. Let o be c(-7). Suppose -o*i + 6 = -0*i. Let b(n) = -n**3 + 8*n**2 - 8*n + 14. What is the lowest common multiple of b(7) and i?
14
Suppose -5*y - 3*y - 1536 = 0. Let z = y - -391/2. Find the common denominator of z and 97/14.
14
Let b(z) = 5*z**2 + 4 - 2*z**2 - 5*z**2 + 5*z**2 - 5*z. Let t be b(3). Let l = t + -10. Calculate the smallest common multiple of l and 6.
6
Suppose 22 = 8*a - 58. What is the smallest common multiple of a and 2?
10
Let h be (-2 - (-6 + 3))*-5. Let q = h + 5. Suppose q = -3*j + 2*j + 3. What is the smallest common multiple of j and 4?
12
Let w = 240 - 233. What is the smallest common multiple of 10 and w?
70
Suppose 4*u + 2 = 22. Suppose -4*o - 12 + 84 = u*w, -5*o = -4*w - 90. Calculate the least common multiple of o and 12.
36
Let n(x) = 294*x**3 + x**2 - x + 1. Let j be n(1). Let m = -551/2 + j. Calculate the common denominator of m and 465/36 - -8*(-2)/4.
12
Suppose 2*p = 21 + 11. Let k(i) = -i**2 + 12*i - 7. Suppose -3*t + 31 = -c, -c + 24 = 4*t + 2*c. Calculate the smallest common multiple of k(t) and p.
80
Suppose 4*l - 67 = 181. Calculate the least common multiple of 4 and l.
124
Let o(c) = c**3 - 7*c**2 + c + 3. Let v be o(5). Calculate the common denominator of -97/16 and (-28)/v + 314/(-120).
80
Let l = 12 + 23/2. What is the common denominator of l and 53/714?
714
Find the common denominator of (67/(-2))/((-3)/18*-27) and 113/54.
54
Let v = 3468 + -104063/30. What is the common denominator of v and -119/40?
120
Suppose -4*h + 66*n = 70*n - 116, 0 = 5*n + 35. Suppose 5*y - 87 = 4*l, 2*l + l = -y + 6. What is the least common multiple of h and y?
180
Let i be (-2)/(-10) - (-3 - 24532/140). Let u = -173 + i. Calculate the common denominator of -50/7 and u.
7
Suppose u - 3*m - 16 = m, 3*m = 2*u - 17. Suppose -4*q - 4*p = -q - 22, 2*q - p = 11. Calculate the smallest common multiple of u and q.
12
What is the common denominator of (32/(-130)*-2)/((-12)/30) and 139/24?
312
Let m = 36 + -31. Calculate the lowest common multiple of 4 and 112/m + (-2)/5.
44
What is the common denominator of (-9 - -6) + 27/10 and 5439/(-1332) + 4 + 0?
60
Let c = -401 + 437. What is the lowest common multiple of c and 12?
36
What is the common denominator of 2640/2475 - 2/12 and 7/(-20)*28/6?
30
Let a = -16 - -34. What is the smallest common multiple of 90 and a?
90
Let m = 7718 + -7716. Let h = -2 + -5. Let o = 21 + h. What is the lowest common multiple of o and m?
14
Let i = -3/232 - -85/15544. Let b = i - -473/536. Calculate the common denominator of 59/6 and b.
24
Let d = 2422 + -2390. Let y = -21 - -29. Calculate the smallest common multiple of d and y.
32
Let l(n) = -n**2 + 3*n + 6. Let r be l(5). Let v be 3/r - 86/(-8). What is the smallest common multiple of 22/v + 6/(-30) and 10?
10
Let k = 2737 - 2695. Calculate the least common multiple of 417 and k.
5838
Calculate the lowest common multiple of (16/40)/(3/90) and 12.
12
Let a(h) = 225*h + 11. Let n be a(-12). Let o = -16093/6 - n. What is the common denominator of o and -27/8?
24
Let g be 384/5*150/4. Let l = 48910/17 - g. Calculate the common denominator of l and -77/8.
136
Let u = -14 - -17. Let t(b) = 3*b**2 - 7*b**2 + 3*b + 0*b**3 + 0*b**u + b**3 + 3. What is the lowest common multiple of t(3) and 4?
12
Let s(p) = -7*p**2 + 4*p - 7. Let y be s(-4). Let h = -125 - y. What is the lowest common multiple of 76/2 + (1 - 3) and h?
180
Let y = -58 - -144. Calculate the least common multiple of 3 and y.
258
Let z = 23 - 11. Suppose v = -44 + z. What is the lowest common multiple of (2/(-4))/(2/v) and 8?
8
Find the common denominator of 2/9 - (-291)/270 and (-6)/9 + (-65)/42.
70
Let b(o) = -3*o**2 - 86*o - 54. What is the smallest common multiple of 280 and b(-26)?
3080
Suppose -4*f = 2*f + 45570. Let x = f - -205019/27. Calculate the common denominator of x and -29/21.
189
Let v(m) = -m**3 + 4*m**2 + 4*m - 14. Let a be v(4). Suppose 2*z + 20 = a*b - z, 20 = 2*b + 2*z. What is the lowest common multiple of 30 and b?
30
Let l be (-1)/(-4) + (-62)/(-8). Let h = -1