uppose 0*v = 2*v - 10. Let n = v - 3. Suppose -q - n*q + 48 = 0. Calculate the least common multiple of q and 8.
16
Suppose -4*x - 14*v = -15*v - 50, -2*v = 4*x - 44. Calculate the least common multiple of 26 and x.
156
Suppose -3*m - 3*p - 5460 = -p, -4*m = 5*p + 7280. Let r = m - -7315/4. Let f = 987/80 - 39/16. What is the common denominator of r and f?
20
Let p = 8 - 10. Let f = p - -12. Calculate the least common multiple of (6/15)/((-2)/(-80)) and f.
80
Suppose 2*d - 61 = -3*w + 1, -3*d = 5*w - 103. Calculate the lowest common multiple of w and 2.
20
Suppose -64 = -4*q + 5*w, -2*w = -2*q - 7*w + 32. Let x(i) = 2*i - 5. Let d be x(4). Let y = 11 - d. What is the least common multiple of y and q?
16
Let x = 622117/89782 + -4/6413. What is the common denominator of x and -119/24?
168
Suppose -4 - 6 = -o. What is the smallest common multiple of o and 26?
130
Suppose 2*n + 0 = 6. Let s be (-20954)/(-2992) + -5 + n. Let h = 24/187 - s. What is the common denominator of h and 113/18?
72
Let l = 4595 + -45873/10. Calculate the common denominator of l and ((-90)/(-4))/(-3 - 18).
70
Suppose -3*y = -30 - 36. Calculate the lowest common multiple of 20 and y.
220
Let s = 2541 + -5310. Let g = s + 27719/10. Calculate the common denominator of -25/6 and g.
30
Suppose 3*j = 5*y - 26, 0 = y - 2*j - 0 - 8. Suppose -7*l = -y*l - 24. Let x = 46 + -41. What is the smallest common multiple of l and x?
40
Let f = 39 - -12. Suppose 4*j + 5*w = f, 5*j - j - 39 = -w. Suppose 3*v + u + 4*u = 36, 0 = -3*v + 3*u + 12. What is the smallest common multiple of j and v?
63
Let g = 2/4909 - 171859/107998. Let f be (-14925)/132*12/430. Let n = f + 165/43. What is the common denominator of g and n?
22
Suppose 0 = 4*y - u + 42, 5 = u + 3. Let d(k) = k + 12. Calculate the smallest common multiple of 2/y + (-111)/(-5) and d(0).
132
Suppose q - 2 = 2. Let f(i) = i**3 - 6*i**2 - 3*i - 6. Let t be f(6). Calculate the lowest common multiple of (t/10)/((-10)/25) and q.
12
Let c be (-4)/(-14) + (-9)/7. Find the common denominator of 81/8 and c/28*(-2 + -4).
56
Suppose -2*r = 19 - 25. What is the least common multiple of 10 and r?
30
Let j(b) = -b**3 + 5*b**2 - 4*b - 1. Let i be j(4). Let p = 5 - i. Suppose -4*z + 2*z = -28. Calculate the least common multiple of p and z.
42
Find the common denominator of -49/2 and 104/(-6)*(-357)/(-136).
2
Suppose 95 = 6*z + 11. Let c = 5 + -8. Calculate the smallest common multiple of z and 3*1*(-1 - c).
42
Let z = 1467 - 8899/6. Let g = -2483/2 + 1200. Find the common denominator of z and g.
6
Let i = -10189/6 + 1673. What is the common denominator of i and 97/18?
18
Let g = -83/27 - -179/27. Find the common denominator of g and -28.
9
What is the smallest common multiple of 80/3 - (11/3 + -3) and 3?
78
Let f = 25551/10 - 2550. Find the common denominator of 31/4 and f.
20
Let z(w) = w - 4. Let h be z(6). Suppose q + 4*q = 70. Suppose g = q - h. Calculate the lowest common multiple of 22 and g.
132
Let s be (-1)/1 - 1*-3. Suppose -3*t + t - 4 = 4*c, -s*t + 17 = -3*c. Calculate the least common multiple of 18 and (1 - -7)*(t - 3).
72
Suppose -4*h + 7*h = -9. Find the common denominator of (91/12)/((-2)/h) and -8/9.
72
Let w(v) = -v**2 + 6*v - 6. Let n be w(4). Suppose -87 = -t + 4*t - 3*k, -4*t - n*k = 110. What is the common denominator of t and 37/6?
6
Let s = -38 + 168. Calculate the common denominator of (-138)/(-56) + (-2)/(-7) and (-5)/(-30)*s/(-3).
36
Let w = 2129/140 + -125/7. Find the common denominator of 51/5 and w.
20
Let x(w) = -1 + 5*w + 1 - 1 - 4*w. Let d be x(0). What is the common denominator of 28 and (-27)/12*-3 + d?
4
Let q = 317873 + -3175871/10. Let m = -1443/5 + q. Find the common denominator of m and -34/5.
10
Let z be (3/9)/(262/(-2676)). Let l = 9395/2358 - z. Find the common denominator of l and 27/20.
180
Let x = 2832 - 59513/21. What is the common denominator of 71/3 and x?
21
Let z(o) = 4*o**2 - o. What is the least common multiple of z(-2) and 2/9 + 178/9?
180
Suppose 5*g = -20 + 95. Calculate the least common multiple of 18 and g.
90
Let a(z) = -z**3 + 5*z**2 - 5*z + 2. Let p be a(3). Let i = -2 + 4. What is the lowest common multiple of i and (-18)/(-5) + 2/p?
4
Let m = -697/40 + 89/5. What is the common denominator of (7/(-28))/((-2)/(-130)) and m?
8
Find the common denominator of ((-3)/(-12))/1 + (-21)/(-16) and (2/4)/(8/3).
16
Let a = -4 + 4. Suppose a = -k - 3*k + 12. Calculate the lowest common multiple of k and 11.
33
Let s(g) = g**2 + 3*g - 2. Let a be s(-4). Suppose 3*c - 34 = a*c. What is the common denominator of 94/(-6)*(-6)/(-4) and c?
2
Suppose w - 86 = -231. Let o = w + 1020/7. Calculate the common denominator of o and -31/5.
35
Let m(a) = 1 - 35*a**3 + 5*a - 2 + 6*a**2 - a**2. Let y be m(-4). Let u = -41447/18 + y. Calculate the common denominator of 65/12 and u.
36
Suppose 0*q + 3*q - 10 = 4*l, -7 = -q + 5*l. What is the common denominator of q/6*(-6)/3 and -22/9?
9
Let u(y) = 2*y + 2. Let d be u(-2). Calculate the common denominator of ((-30)/8)/((-3)/(-34)) and 28/22*1/d.
22
Let l(x) = -x**2 - 14 + 8*x + 3*x**2 + 8. Let a be l(-7). Suppose a = p + 3*p. Calculate the least common multiple of 4 and p.
36
Suppose 172*j = 178*j - 444. What is the lowest common multiple of 22 and j?
814
Suppose 4*b - 64 + 0 = 0. Let z = b + -8. Calculate the least common multiple of z and 6.
24
Suppose -4*c = 2*v - 7*c - 114, 0 = -v + 3*c + 54. Let w = v - 42. What is the lowest common multiple of (-108)/(-14) + (-4)/(-14) and w?
72
Suppose -7*l + 2*l + 15 = 0. Suppose -3*c = l*z - c + 3, -3*c - 8 = z. Calculate the least common multiple of 3 and z.
3
Suppose -4*z + 3*g = -2*z + 75, 2*z = -5*g - 35. What is the common denominator of ((-5)/7)/(4/20) and (4/z)/((-8)/(-590))?
42
Suppose -6*s + s + 35 = 4*n, 2*s - 4*n = -14. Suppose s*u = -495 - 123. What is the common denominator of (-15)/(-20)*u/(-30) and -41/14?
140
Let g be 8*(27/6 + -2). What is the common denominator of -67/2 and (-157)/44 - 5/g?
22
Let f(a) = -a**3 + 8*a**2 - 8*a - 6. Let s be f(6). Let u be -2 - (8/4 - 8). Find the common denominator of (-3)/u*182/s and 101/2.
12
Calculate the common denominator of 91/6 and 306/(-60)*(-8)/(-6).
30
Suppose 1 = -3*n + 7. Let x be 1/(-2)*2*9. Let t = 15 + x. What is the least common multiple of t and n?
6
Calculate the lowest common multiple of 12 and (-8)/6*(5/(-2) - 2).
12
Suppose -5*s - 3*q = -43 - 12, s = -q + 11. Let p = s + -6. What is the least common multiple of p and 13?
65
Let n(p) = -3*p**3 + 0*p + 4*p**3 - 2 - 3*p - 2*p**2. Calculate the smallest common multiple of 20 and n(4).
180
Let h(f) = f**2 - 7*f + 3. Let j be h(7). Let c be (-3 + 1)*(-1)/(-2). Find the common denominator of 67/6 and (702/(-21))/(c - j).
42
Let q(g) = 21*g**2 - 5*g - 6. Let r be q(-7). Let m = 11677/11 - r. What is the common denominator of m and -121/6?
66
Suppose 0 = -0*f - 4*f + 4*s - 20, -2*f = 3*s + 30. What is the smallest common multiple of (-2)/6*f/3 and 11?
11
Let o(c) = -c**3 + 7*c**2 + 10*c. Suppose 3*f + 28 = 2*m, -12 = -4*m - f - 4*f. What is the smallest common multiple of 11 and o(m)?
176
Let h = 12 - 2. Suppose -2*k - c + 2 = 5, 5*c - 18 = k. Calculate the lowest common multiple of k/5 + (-96)/(-10) and h.
90
Let q = 24094/13 - 5552/3. Let y be (1/(-45))/(26/8211). Let r = q + y. What is the common denominator of r and -30/7?
70
Let d(t) = 12*t + 8. Find the common denominator of 19/11 and d(1).
11
Let g(a) = -a**3 + 7*a**2 + 4*a - 22. Suppose 0 = -10*d + 5*d + 45. Calculate the smallest common multiple of g(7) and d.
18
Suppose -4*i + 0 = -8. What is the smallest common multiple of i and 3?
6
Let n be 0*2/4 - 9. What is the smallest common multiple of 8 and (-6)/2*30/n?
40
Let i be (-2)/8 - 34/(-8). Let p(l) = -l**2 + 3*l + 4. Let s be p(i). Suppose s*v = -v + 9. What is the least common multiple of v and 4?
36
Suppose 2*y = 4*y + 4096. Let q = 12185/6 + y. What is the common denominator of 38/7 and q?
42
Let o(b) = -4*b + 1. Suppose 0 = -m + 2*m - 3. Suppose 0*n - m*j = 2*n - 33, 4*n - 4*j - 16 = 0. What is the smallest common multiple of n and o(-2)?
9
Let c be (-6)/(-4) + (-17)/6. Let i = c + 82/21. Find the common denominator of i and 67/4.
28
Suppose 6*m - 196 = m - q, -5*m = 2*q - 192. Suppose 0*u - 2*u =