8. Find the common denominator of v and -39/8.
8
Let m = 1880 + -18739/10. Calculate the common denominator of (-1)/1 + 98/(-40) and m.
20
Let x(j) = j**3 + 4*j**2 - 3*j + 4. Let c be (-12)/6 + 3/(-1). Let y be x(c). What is the lowest common multiple of 10 and (-5 - y)/(1/4)?
20
Let y = 6 - 5. What is the lowest common multiple of y and (12/21)/((-4)/(-70))?
10
Let z = 13274011/3426588 + 241/6732. Let d = -3/5599 + z. What is the common denominator of d and 57/7?
77
Let x = -1278 - -10281/8. What is the common denominator of -87/2 and x?
8
Suppose 0*i = -4*i - 24. Let t = 23 + -9. Let b = t + i. What is the lowest common multiple of b and 18?
72
Let h = -207563/26270 + 3/2627. Suppose 0 = 4*k - 3*l - 165, -2*k - 4*l + 50 = -60. Find the common denominator of 2/((-28)/k) + -1 and h.
70
Let y = -7574/9 - -845. Find the common denominator of y and -2 - -1 - (-130)/4.
18
Let z = 2446 + -3560. What is the common denominator of 6/11 and z/(-84) + 16/28?
66
Let a be 1/3 - 238679/86772. Let y = a - -2/3099. Calculate the common denominator of (-121)/(-6) - (0 - 2) and y.
12
Let m = 2114/5 - 425. Let j = 79/20 + m. What is the common denominator of 273/30 + 0/1 and j?
20
Let q be (-2)/4*(9 + -3). Let u(o) = o**3 + 3*o**2 - 3*o + 1. What is the smallest common multiple of 10 and u(q)?
10
Let y be 0*(-1)/(-2)*-1. Suppose y = -3*a + 4*a + 12. Calculate the common denominator of 2/7 and a + 0 - (-4)/10.
35
Suppose -993 = 2*p - g, 0 = -g + 2*g + 3. Let m = p - -4474/9. What is the common denominator of -44/3 and m?
9
Calculate the common denominator of -51/28 and 133/(-836)*9/(-7).
308
Let u = 17473/573 + -8101133/764. Let p = u + 10579. Find the common denominator of -67/20 and p.
60
Let u = 56/25 + 139/150. Let y(q) = -2*q**2 - 6*q - 6. Let j = -5 - -1. Find the common denominator of y(j) and u.
6
Let h be (-2 + (-2 - -3))*-7. Suppose h*x = 3*x - 44. Let q = x + 18. What is the smallest common multiple of 8 and q?
56
Suppose -2*v - 28 = 4*b - 0*v, -3*v + 12 = 0. Let j be (2/(-4001))/((-3)/b). Let x = -356185/64016 - j. Calculate the common denominator of 81/14 and x.
112
Let j = -24 - -60. Calculate the common denominator of j and 2/(-9) + (-2937)/270.
10
Let r = -61375/57342 + -13/1509. Find the common denominator of -41/22 and r.
418
Suppose 4*k - 127 = g + 4*g, 3*k - 129 = -3*g. What is the lowest common multiple of 12 and k?
228
Let q = 4650068 + -41895350/9. Let y = q - -4966. What is the common denominator of y and 53/3?
9
Suppose 4*f = f + 18. Suppose -5*d - 7*k + 2*k = 10, 2*d + k = -1. Let z = 2 - d. What is the least common multiple of z and f?
6
Let y(z) = z**3 + 6*z**2 - 3*z - 8. Let s be y(-6). Let h(j) = j**2 - j - 8. Calculate the lowest common multiple of h(6) and s + 4/(2 - 0).
132
Suppose 2*f = -u + 9 + 5, 2*u - 30 = -3*f. What is the smallest common multiple of 6 and u?
18
Let l be (-268677)/76020 - 2/1. Let x = 377/362 + l. Let k = -3/28 + x. What is the common denominator of k and -25/4?
20
Find the common denominator of -24 and (3/(-20))/((-4)/30).
8
Let r be (-1)/(1 + 10/(-8)). Let a be (-3)/r + (-238)/(-8). Suppose 0 = 5*i - 4*z - 39, -2*i - i = -z - a. What is the smallest common multiple of i and 3?
33
Let i = -1 - -11. Let k be (-6)/i*5/(-4). Let c = k + -11/12. Find the common denominator of c and -53/16.
48
Let d(l) = -l**3 - 6*l**2 + 6*l - 9. Let j be d(-7). Let n be (-17)/(-12) - j/4. Let p = -3 + n. Calculate the common denominator of p and -83/10.
60
Calculate the least common multiple of (64/(-12))/(-8)*9 and 2.
6
Let s(b) = -4*b**2 - 16*b + 17. Let w be s(-14). Let t = -1055/2 - w. What is the common denominator of -14/9 and t?
18
Let y be 3 + (-3182)/560 - -3. Let f = -1/56 + y. Find the common denominator of f and 52/5.
10
Suppose 338 = 17*z + 32. What is the smallest common multiple of z and 33?
198
Let b be -32 + 1/(-2)*-4. Find the common denominator of -47/20 and b/(-8)*(-54)/90.
20
Let q(r) be the third derivative of -r**5/60 + 5*r**4/24 + 2*r**3/3 + r**2. What is the least common multiple of 5 and q(5)?
20
Let n(r) = 5*r**2 - 8*r - 6. Calculate the least common multiple of n(6) and 10.
630
Let o = 146569/40250 + 4/2875. Calculate the common denominator of -6 + 3 - (-55)/70 and o.
14
Let n = 7 + -4. Let h = 45 - 44. Calculate the smallest common multiple of h and n.
3
Let n(g) = -g**2 + 2*g. Let x be n(4). Let l = 13 + x. Suppose -i + 11 = 2*p, -4*i - p + 35 = 12. Calculate the least common multiple of i and l.
5
Suppose -5*l = -2*s - 204 - 399, -2*s + 244 = 2*l. Find the common denominator of l*(-2)/20 + 0 and -37/9.
90
Let y = 3739 - 22507/6. Let i = 449/70 - 40/7. Calculate the common denominator of i and y.
30
Let r = 10 - 2. Suppose -2*v + 5*c + 18 = 0, 2*c = 5*v + 13 - 37. Suppose -10 + 74 = v*s. What is the lowest common multiple of s and r?
16
Calculate the smallest common multiple of (-3)/((14/(-4))/(-7) - 2) and 8.
8
Let o = -1 + 9. Let h = o - 6. Suppose 36 = -0*w + h*w. What is the least common multiple of 16 and w?
144
Let m = 1026/11 + -95. What is the common denominator of 32/7 and m?
77
Let s = -30/13 + -735/104. Calculate the common denominator of 87/2 and s.
8
Suppose -4*o + 25 + 7 = 0. Suppose -3*u + y - 11 = 0, u = -4*y - y + 7. What is the least common multiple of o and (-30)/(-4) + u/6?
56
Let u be ((-2)/(-6))/(78/240539). Let l = -1030 + u. Find the common denominator of 55/8 and l.
72
Let t = 14 + 2. Calculate the least common multiple of t and 14.
112
Let a be (10/(-8))/((-1)/4). Suppose a*f + 5*s - 100 = 0, 3*s - 32 + 97 = 2*f. Find the common denominator of (-160)/3*10/f and 101/4.
12
Let j = 6 + -4. Suppose b - 5*t + 12 = 0, 1 = -3*b + 4*t + 9. Calculate the lowest common multiple of j and b.
8
Suppose 3*v - 63 = -4*v. Calculate the lowest common multiple of v and 5.
45
Let x = 1 - -1. Suppose 0 = 6*l - l + 4*d - 62, 3*l = 2*d + 24. Suppose -4*s = 2*r + l, 6*s - s + 15 = 0. Calculate the lowest common multiple of x and r.
2
What is the smallest common multiple of (48/18)/((-4)/(-6)) and 2?
4
Let r = 5 - 2. Suppose -r*w + 24 = 6. Calculate the smallest common multiple of 7 and w.
42
Let w = 103/3 + -1267/30. What is the common denominator of -53/12 and w?
60
Let x be 2 - (-1 + 0/(-2)). Suppose -2*c + 3*d = -26, x*c - d = c + 18. Suppose 18 = 6*y - 3*y - 3*f, -3*f = 3. What is the least common multiple of c and y?
35
Suppose -2*l = x - 7, -10 = -5*l - 0*l. Calculate the smallest common multiple of x and 21.
21
Suppose -32 - 14 = -2*u - 3*j, 4*u - 4*j - 72 = 0. Let r = 26 - 12. Calculate the smallest common multiple of r and u.
140
Suppose -15 = 4*v - 2*v - 5*n, 0 = 5*v - 2*n + 27. What is the common denominator of v/((-140)/128) - -1 and (1/(-2))/((-14)/(-144))?
7
Let l = 6985/8 + -868. What is the common denominator of -13/4 and l?
8
Suppose 3*i - 19 = n, 5*i - 4*n + 3*n = 29. What is the lowest common multiple of i and 2?
10
Let l(f) = f**3 - 6*f**2 - 10*f + 23. What is the least common multiple of 9 and l(7)?
18
Let m = 0 - -5. Let r(z) = 15*z**2 + z - 1. Let s be r(1). Suppose -s + 45 = m*a. What is the least common multiple of a and 9?
18
Suppose -19 = 5*x + 16. Let f = x + 7. Find the common denominator of 87/14 and f/(-4) + (-3)/(-2).
14
Let i(z) = -z + 2. Let f be i(-7). Let j = -8 + f. Find the common denominator of -67/2 and (-3 + 20)*j/4.
4
Calculate the common denominator of 43/22 and ((-260)/(-64))/(1/4).
44
Suppose 4*l - 218 = -686. Let f = -295 - l. Calculate the common denominator of -113/14 and f/(-32) - (-6)/(-3).
112
Let o be (10/(-25))/(2/(-40)). Suppose -o*c + 11*c - 6 = 0. Calculate the least common multiple of c and 4.
4
Let m(u) = -u**2 + 6*u - 4. Let y be m(4). Suppose 0 = -2*v + 4 + 4, -4*i + 64 = -y*v. Calculate the lowest common multiple of 16 and i.
80
Let b = -2 - -4. Suppose -5*j = -5*n - 15, -2*j + n = -3*j + 13. Let q = b + j. What is the lowest common multiple of 20 and q?
20
Let i(f) = f**3 - 2*f**2 + 2. Let v = -13 - -17. Calculate the lowest common multiple of v and i(3).
44
Calculate the lowest common multiple of 4/(-3)*72/(-16) and 22.
66
Let y = 326347/25848 - 2/3231. What is the common denominator of 7/2 and y?
8
Let k(u) = 4*u**2 - 8*u + 12. Calculate the least common multiple of 24 and k(3).
24
Suppose 3*g + g = 8. Let k(i) be the first der