3/b + 3/(-6). What is the common denominator of (-1)/2 - v/24 and -65/4?
12
Let a = 14/199 + -44007/398. Let d = 134 + a. What is the common denominator of ((30/(-4))/(-1))/(264/(-418)) and d?
8
Let b = -275 - -297. Let z(s) = 7*s**2 + 4*s + 2. Calculate the smallest common multiple of z(-2) and b.
22
Let v be 16/6*1188/16. What is the common denominator of 93/4 and (v/(-28))/((-20)/35)?
8
Let v = -288 + 295. Suppose 3*t + 21 = 3*r, 0 = 4*r + 5*t - t + 4. Calculate the lowest common multiple of r and v.
21
Find the common denominator of (165/(-44))/((-27)/66) and 41/22.
66
Let s = 6 + -2. Suppose 7*h - 8 = 3*h. Suppose 0*w + h*w = -s*r + 38, 37 = 3*w + r. What is the lowest common multiple of w and 5?
55
Find the common denominator of 13/7 and (-16)/(-4) + 120/(-14) + 0.
7
Suppose 82 = 2*i - 18. Let m(t) be the first derivative of -t**3/3 - 7*t**2/2 - 3*t - 2. What is the common denominator of m(-11) and i?
1
Find the common denominator of 41/28 and ((-141)/(-20))/((-135)/18 - -6).
140
Let d(i) = 2*i**2 - 4*i + 2. Let g = 364 - 202. Suppose 7*v + 22 = g. Calculate the least common multiple of d(2) and v.
20
Let p(y) = y**2. Let f = -7 - -12. What is the lowest common multiple of p(1) and f?
5
Let u(n) = 56*n**3 - n**2 - 2*n - 3. Let p be u(-2). Let o = p + 2244/5. What is the common denominator of -37/7 and o?
35
Suppose 5*w + 5 = 2*q - 3*q, 3*w = -3*q - 3. Let l be (w - -5)*2/4. Calculate the lowest common multiple of 20 + (1 - 5)/l and 2.
18
Let s(i) = 5*i - 1. Let b(l) = l**2 - 3*l - 5. Let k be b(6). What is the least common multiple of (-1 - k)*3/(-6) and s(1)?
28
Suppose -2*k = -20 + 4. Find the common denominator of -11/2 and (k/(-30))/((-12)/280).
18
Let t(r) = 5*r - 3. Let o be t(-4). Let f = o - -43. Calculate the least common multiple of f and 20.
20
Let s = 3 + -5. What is the smallest common multiple of 6 and (2 - 3)*5*s?
30
Calculate the common denominator of -31/6 and ((-59)/14)/(12/14).
12
Let i = -4/297 + -8561/3861. Find the common denominator of -17/6 and i.
78
Suppose 0 = -3*q - 2 + 17. Suppose a + 0*a - 4 = -z, q*z + 4*a = 22. Calculate the smallest common multiple of z and 10.
30
Find the common denominator of 3/11 and 4/8*97/8*-2.
88
Let s be 17/9 - 1/(-9). Suppose -s*y + 12 = 5*b - 34, 2*y + 18 = 3*b. Calculate the least common multiple of b and 14.
56
Let f = 1/3658 + 95099/32922. Let t = -11/15 - 43/15. Calculate the common denominator of f and t.
45
Let s = 91 - 733/8. Let k = 6 + -27. Find the common denominator of (-89)/k + (-4)/6 and s.
56
Let u = -10/863 - 62959/3452. Let v(y) = -y + 12. Let q be v(10). Find the common denominator of (-3)/q*(-200)/18 and u.
12
Calculate the common denominator of ((-2)/112)/((21/14)/3) and 6/8*(-46)/11.
308
Suppose 0*u = 5*u - 20. Calculate the least common multiple of 11 and u.
44
Let c(f) = 0 + f - 2 + 0*f. Calculate the lowest common multiple of c(4) and 10.
10
Let v = 876 - 1627. What is the common denominator of 79/18 and (-9)/21 + v/126?
18
Find the common denominator of -81/14 and 2/(-4) - (-265)/40.
56
Let v(n) be the first derivative of n**3/3 - 3*n**2/2 + 3*n - 8. Calculate the least common multiple of 6/(-2)*(-2)/6 and v(4).
7
Let f = 6 + 16. Suppose 3*l + 1 = f. What is the common denominator of -17/2 and (-2)/(-7) - 22/l?
14
Let t(c) = -c**3 - 13*c**2 - 10*c + 15. Let m be t(-12). Let q = -4 - m. What is the least common multiple of q and 7?
35
Let y = 433 - 1751/4. Calculate the common denominator of y and 676/80 - 2/(-8).
20
Let f(n) = n**3 - n**2 + n - 1. Let x be 6 - 3*(2 + -1). Let y be f(x). Find the common denominator of (-473)/y - (-6)/15 and 8.
4
Let n(z) = z**3 + 10*z**2 + z + 12. Let q be n(-10). Suppose -3*w = -q*w - 16. Let o(f) = -16*f. Calculate the least common multiple of o(-1) and w.
16
Suppose z - 10 = -4. What is the smallest common multiple of 4 and 3/z*(21 - -1)?
44
Let l be (0 - (2 + -2)) + -6. Let n = 70 - 133/2. Calculate the common denominator of n and (-58)/l*(-5)/2.
6
Let p(f) = -3*f + 10. Let x be p(8). Calculate the common denominator of -79/2 and (-1)/(-4) + x/8.
2
Suppose j + 7*p = 2*p - 21, 5*p + 25 = 0. What is the least common multiple of 20 and j?
20
Let z be (2278/(-21))/((-6)/(-9)). Let k = z - -2319/14. Find the common denominator of k and 109/22.
154
Let y = -19 + 36. Suppose 2*s - 3 - y = 0. Calculate the lowest common multiple of s and 2.
10
Let q = -2389/6 + 401. Let z be 105/(0 + -3) - -1. Find the common denominator of (z/(-88) + -2)*2 and q.
66
Suppose 3*i - 2*s - 81 = 0, -s - 108 = -4*i - 3*s. What is the lowest common multiple of 33 and i?
297
Suppose 4*a = 3*l + 20, 5*l + 7 = 5*a - 18. What is the common denominator of l and 8/11?
11
Suppose -3*g + 7*g = -8. What is the common denominator of 1*g*105/100 and -65/2?
10
Let i(p) = 43*p - 5. Let k be i(2). What is the common denominator of k/6*3/(-30) and 61/10?
20
Let j = -1323/38 - -6/19. Find the common denominator of ((-412)/(-8))/(-4 - 3) and j.
14
Let y = 13 - 15. Let s = 4 - y. Calculate the least common multiple of 18 and s.
18
Calculate the common denominator of 4/(-12) - 470/48 and 13/2.
8
Find the common denominator of 29/20 and ((-6)/(-36))/(6/13).
180
Suppose 0 = 4*j - 7*j - 4239. Let q = j + 5693/4. Calculate the common denominator of (1 - 2) + (-45)/24 and q.
8
Let a = 131174663/5192 + -202131/8. Let b be (74/(-354))/(5/30). Let v = a + b. Calculate the common denominator of 59/16 and v.
176
Suppose 2*r - r = 8. Suppose -r = 2*p - 4*c, p - 3*c = -6*c + 16. Suppose -p*a = d - 24, 3*a - 39 = -3*d + 15. What is the least common multiple of 10 and d?
80
Let j(p) = -p**2 + 11*p - 9. What is the lowest common multiple of 6 and j(9)?
18
Suppose 0 = -4*y - 5*n + 7 + 5, -5*y = 3*n - 15. Suppose -y*b + 5*t = -23, 0 = -b - 0*t - 4*t + 36. Calculate the smallest common multiple of b and 20.
80
Let s = -243653/16 + 15222. Find the common denominator of s and ((-1)/(-25))/((-8)/(-940)).
80
Let q = 14 + -4. Calculate the common denominator of -23/7 and (q/4)/((-2)/19).
28
Let h = 11513 - 1485169/129. Let n = h + 7321/516. Let b = 6005/8 + -748. What is the common denominator of b and n?
8
What is the common denominator of 2/(-192)*-3 - (-6 + 7) and 45/32?
32
Let k be 27382/(-18) + 4/18. Let x = k - -3454. Let i = x - 42457/22. Find the common denominator of i and -99/4.
44
Let r be (8/(-2))/((-1)/5). Suppose 5*q - 60 = -5*w, 5*w - 33 = -4*q + r. Calculate the smallest common multiple of 7 and q.
7
Let k(j) = -3*j**2 - 1. Let p be k(-2). Let m = 23 + p. Calculate the lowest common multiple of (8 - 4) + 1 + 1 and m.
30
Let z = 25 + -9. Let v = 14 + z. Calculate the lowest common multiple of 2 and v.
30
Suppose -g - 3*g + 5*o = -59, 30 = 3*g + o. What is the lowest common multiple of 30 and g?
330
Suppose -o - 5 = v - 32, 0 = 5*v - 5. Let a(x) = x + 18. What is the lowest common multiple of a(0) and o?
234
Let j = -13145/12 - -1092. What is the common denominator of -93/14 and j?
84
Let v = 34 - 26. Calculate the lowest common multiple of v and 5.
40
Let a = 146161/20 - 7306. Let g = 7 - 12. Calculate the common denominator of 1227/30 - (-2)/g and a.
20
Suppose -4*z = 5*y - 79, -2*z - y - 61 = -6*z. Suppose -2*o - 1 = 7. What is the lowest common multiple of 1/4 + (-47)/o and z?
48
Suppose -2*v = -5*h - 190, -4*v + 50 = 3*h + 190. Calculate the common denominator of 18/h*(-76)/(-6) and -65/6.
30
Let t = -36 + 42. What is the smallest common multiple of t and 2?
6
Let a(y) = -7*y**3 - y**2 - 2*y. What is the lowest common multiple of 7 and a(-1)?
56
Suppose -6*w + 4 = -20. Suppose -3 = -2*s + x - 0, -s = -x - 1. Suppose -2 = -4*v + 5*v, s*v = -4*q + 68. What is the smallest common multiple of w and q?
36
Let h(a) = -a**2 + 11*a - 7. Let k(w) = -2*w**2 + 2*w + 12*w + 8*w - 14. Let t(g) = 13*h(g) - 6*k(g). Calculate the lowest common multiple of t(10) and 1.
3
Suppose 4*u = u, 0 = -2*y - 5*u + 40. What is the least common multiple of y and 32?
160
Let v(i) = 86*i**2 + 7*i + 5. Let f(j) = 129*j**2 + 11*j + 8. Let u(r) = -5*f(r) + 8*v(r). Let d = 1294 + -5113/4. Find the common denominator of d and u(-1).
4
Suppose 12 = 2*n + 2*d, 4*n - d - 10 = 2*d. Suppose 4*p - 2*s = -226, 7*p - n*p = 3*s - 177. Find the common denominator of 37/8 and p/(-6)*1/(-8).
8
Suppose -3*c + 5*t + 2