 the common denominator of g and 56/20*(-30)/(-4).
8
Calculate the least common multiple of 12 and (-4)/14 + (-20)/(-56)*26.
36
Let j = 21 - 22. Calculate the common denominator of j + -3 + (-111)/60 and (((-252)/(-2))/(-2))/(-22).
220
Suppose 3*d - 9 = -v, -3*d - 2*d - 51 = -2*v. Calculate the least common multiple of 21 and v.
126
Let j = 326917/40232 - 4/5029. Find the common denominator of (-9)/3 - 58/(-12) and j.
24
Let o(p) = -13*p - 8. Let k be o(-7). Suppose -3*j - 5*h - 205 = 2*j, 3*h = -2*j - k. What is the smallest common multiple of 8/j + (-142)/(-10) and 20?
140
Let m = -3732720959/41211 - -1720924/19. Let x = 1/241 + m. What is the common denominator of 22/7 and x?
63
Let l = -508427/52 + 9777. Calculate the common denominator of 67/6 and l.
156
Let r(g) = -g + 2. Calculate the smallest common multiple of 4 and r(0).
4
Calculate the common denominator of (-5)/((-460)/358) + -5 and 109/6.
138
Let y = -92 + 98. What is the smallest common multiple of (-4)/6 - (-26)/3 and y?
24
Let d(u) = -2*u**3 + 14*u**2 + 2*u + 10. Calculate the least common multiple of 12 and d(7).
24
Let s = 24627/7 - 6051/2. Let a be -2 - (-726)/9*-6. Let q = a + s. Find the common denominator of 107/14 and q.
14
Let c(t) be the third derivative of -t**4/24 + 5*t**3/6 + t**2. What is the smallest common multiple of c(-9) and 2?
14
Let p be 2 + -2 - 916757295/58217724. Let b = p - -94343/11322. Let v = b + -2/857. What is the common denominator of v and 29/16?
48
Suppose 0 = v + 3*w - 11, 5*w = 5*v + 3 + 2. Calculate the common denominator of (17/v)/(7/(-4)) and -30/11.
77
Suppose 4*r - 9 = -3*t + 20, -3*t = 5*r - 31. Let j(s) = 2*s - t - 4 - 1. Calculate the least common multiple of j(8) and 9.
36
Let q = 46460 + -6411337/138. Let c = q - 135/23. Calculate the common denominator of c and 119/6.
6
Let b(v) = -v**2 - 12*v + 10. What is the least common multiple of b(-12) and 11?
110
Let n = 4 - 5. What is the lowest common multiple of n - (3/(-3) - 5) and 9?
45
Suppose 0*l + 3*l - 51 = -3*p, -2*p + 34 = 3*l. Suppose 2*i = 1 + p. Suppose -3 = m - 2*m. Calculate the smallest common multiple of i and m.
9
Let s = -6 - -16. Calculate the smallest common multiple of s and 6.
30
Calculate the smallest common multiple of 7 and 6*(-3 - (-14)/4).
21
Let w = 9017 - 108137/12. What is the common denominator of -1/12 and w?
12
Let j(n) = n**3 + 5*n**2 + 2*n + 5. Let a be j(-5). Let q = -4 - a. What is the smallest common multiple of 6 and q?
6
Let n = 1257/28 + -267/7. Calculate the common denominator of n and 79/8.
8
Let a be (1/3)/((-7)/21). Calculate the common denominator of 0 + (a - 55/2) and -5/3.
6
Suppose 12 = -0*m - 4*m. Let u be (2 - (-2)/3)*m. Find the common denominator of (-15)/(-9)*9/u and 1/2.
8
Suppose 4*y - 9 = 39. Suppose -5*l + 126 = -2*z, -5*z = 4 - 14. Calculate the smallest common multiple of y and l.
156
Let j = 21 - -197. Suppose 291 = -i - 3*h, -i - 91 = -3*h + j. Calculate the lowest common multiple of 18 and 6/(-21) + i/(-21).
126
Let i(m) = 2*m - 4. Let z(h) = -h**3 - 6*h**2 - h**2 - h - 1 + 0*h**3. Let g be z(-7). What is the smallest common multiple of 8 and i(g)?
8
Let u = 16 + -10. Suppose -5*t + 5*s + 30 = 0, 4*t - u*s - 29 = -s. What is the least common multiple of (t/2 - 1)*-6 and 4?
12
Let t = 6807/17 - 1893499/4760. Let m be 25/(-168) - 2/(-12). Let v = t - m. What is the common denominator of 51/4 and v?
20
Let a = 4739 - 37811/8. What is the common denominator of (10/(-5)*(-81)/4)/(-10) and a?
40
Suppose 7*i + 140 = 12*i. What is the least common multiple of i and 22?
308
Let f = -30087 - -721939/24. What is the common denominator of f and -31/20?
120
Suppose -4*n - 4 = -5*n. Suppose -7*x = -20*x + 130. Calculate the least common multiple of x and n.
20
Let o(y) = -y**3 + 6*y**2 + y + 2. Calculate the least common multiple of o(6) and 10.
40
Suppose -3*c + 0 = -30. Calculate the common denominator of (-6)/c + (-1724)/(-40) and -4/5.
10
Let q(w) = -10*w**2 - w - 2. Let v be q(6). Let z = 1457/4 + v. What is the common denominator of 21 and z?
4
Let t be ((-15)/(-10))/((-1)/(-2)). Suppose 3*n + 4 = -2. Let o = t + n. What is the lowest common multiple of o and 9?
9
Suppose c = -c + 24. Let r = c - 7. Suppose -r*t + 4 = -3*t. What is the smallest common multiple of t and 6?
6
Suppose 0 = 2*q + 5*s - 31, -2*q + 5*q - 3*s = 15. What is the common denominator of 91/10 and 2/(-3)*(-90)/q?
10
Let n = 137229/25 - 5484. Let j = n + -1819/275. Find the common denominator of 37/5 and j.
55
Let d be -33*((-52)/12 + 4). Let y = 29 - d. What is the least common multiple of 6 and y?
18
Let a(m) = m**2 + 5*m - 64. Let o(l) = -5*l - 6. What is the smallest common multiple of o(-4) and a(6)?
14
Let z(c) = -34*c + 1. Calculate the common denominator of -3 and z(1).
1
Suppose -s = -4*s + 3. What is the least common multiple of 7 and s?
7
Calculate the common denominator of -1 + -2*(-116)/(-216) and 47/27.
27
Calculate the common denominator of 22 and 763/26 + (-2 - (-140)/65).
2
Let u = 1 + 0. Let a = 1168 - 5821/5. Find the common denominator of u - 43*(-2)/4 and a.
10
Let l(h) = h + 16. Let y(f) = -f**2 - f. Let s be y(-1). Calculate the least common multiple of 10 and l(s).
80
Let v = -1/214 + 268/107. Let w(i) = 1 - 9*i**2 - 2*i**2 + 5*i + 3*i**2 + i**3. Find the common denominator of v and w(7).
2
Suppose 0 = 2*i + 4*f - 16, 14 = 4*i - 0*f - f. Let x = 0 + 2. Calculate the least common multiple of i and x.
4
Let a(x) = 3*x**2 - 10*x - 10. What is the smallest common multiple of 24 and a(5)?
120
Let w be 9/12 + (-39)/(-12). Suppose -8 = -0*v - 3*v + w*m, 56 = 5*v + 4*m. What is the least common multiple of v and 6?
24
Suppose 0*y = 4*y. Suppose y*t = t - 4*x, 2*t - 12 = 4*x. Calculate the smallest common multiple of t and 2.
12
Let q = -3 - -21. Let n = -5 - -10. Suppose 5*y + n*c = 3*c + 60, 4*y = -c + 48. Calculate the least common multiple of y and q.
36
Suppose 0 = -3*u, -3 + 1 = -s - 4*u. Suppose -5*n - 4*v - 350 = -v, -s*n - 4*v - 140 = 0. Calculate the common denominator of 14/15*n/16 and -143/18.
36
Calculate the common denominator of (-38)/(-16)*(-6)/(-3) and -89/4.
4
Let a = 3/3104 - -85333/27936. Calculate the common denominator of a and -83/22.
198
Let r = -16 - -5. Let q = r - -25. What is the smallest common multiple of q and 18?
126
Suppose 0 = -2*l, 2*l - 30 = -2*b - 3*b. What is the lowest common multiple of b and 34?
102
Suppose -5*l + 2*o + 24 = -2*o, -11 = -4*l - 5*o. What is the smallest common multiple of 10 and l?
20
Let v = -10 - -22. What is the lowest common multiple of 16/7 + (-4)/14 and v?
12
Let b = 10 - 16. Let s be ((-924396)/3537)/((-140)/b). Let h = -2/2751 - s. Calculate the common denominator of -20/3 and h.
15
Let b = -3 + 11. Calculate the smallest common multiple of b and 14.
56
Let a(g) = -g**3 + g + 12. Calculate the least common multiple of 32 and a(0).
96
Suppose -17*u + 639 = 180. Calculate the lowest common multiple of 30 and u.
270
Suppose 0*y + 12 = y. Suppose -2*z = 4*t - 8, -8 = 3*t - 5*z + y. Find the common denominator of -38/3 and t + -2 + 26/22.
33
Let r = -6749 - -9904. Let h = -25303/8 + r. Calculate the common denominator of h and 61/9.
72
Let u(y) = 2*y**2. Let s(j) = j**2 - 3*j + 3. Let c be s(2). Calculate the smallest common multiple of u(c) and 10.
10
Let b be (-3)/(-9) - 53/(-3). What is the common denominator of (-4)/b - 265/63 and 41/11?
77
Let j(q) = q**3 + 4*q**2 - 10*q. Let k be j(-6). Find the common denominator of (27/(-8))/(1/k) and -93/4.
4
Let s(c) = -c**3 - 2*c**2 - c. Let t be s(-2). Suppose -3*n = -t*n - 16. What is the common denominator of 77/4 and (2 - (-126)/n)*-1?
8
Let h(r) = r**2 - 4*r. What is the least common multiple of 12 and h(6)?
12
Suppose -r - 2 = r. Find the common denominator of -27/4 and -1 + (110/28 - r).
28
Let x be (0 - -5)*(-12)/(-10). Suppose x*r = 5*v + 3*r - 20, -2*r = 2*v - 24. What is the smallest common multiple of v and -3*(-2 - 0)/2?
21
Calculate the smallest common multiple of 30 and 53 + -3 - (-6 - -5).
510
Suppose 3*y = 2*i + 1 + 1, 5*y - 18 = -4*i. Let c(b) = b**3 - b + 4. What is the least common multiple of c(0) and i?
4
Suppose -2*j + 12 = q, 3*q = 2*q - 4*j + 22. Let d = -6 - -8. Suppose d*k = -q*k + 64. Calculate the lowest common multi