21/240. Let u = -4465/432 - -193/27. Find the common denominator of u and x.
80
Let r = 1513681/2268 - 4673/7. Find the common denominator of 113/216 and r.
648
Let d = 23603/10 - 2351. What is the common denominator of (-43)/(-14) - (-2)/4 and d?
70
Suppose -2*x = 2*x - 56. Let l be (-3)/5 + 588/105. Suppose 4*s + b - 42 = 3*b, 5*s + l*b - 75 = 0. Calculate the smallest common multiple of x and s.
84
Let k be (-3)/36*-4 + (-13)/3. Calculate the common denominator of (k - 1185/(-100)) + (-4)/(-10) and -71/10.
20
Let n = -10082/15 + 676. Calculate the common denominator of 71/108 and n.
540
Let l = -669/80 + 83/10. What is the common denominator of 7/152 and l?
304
Suppose -7*b - 4*q = -3*b - 196, -4*q + 104 = 2*b. What is the lowest common multiple of 64 and b?
1472
Let j(f) = -7*f**3 + 4*f**2 + 2*f - 1. Let z be j(-2). Suppose y = 1, -5*v + 3*y + 0*y = -z. What is the common denominator of (-1)/(24/12 + -9) and v?
7
Let k(v) = 21*v - 257. Calculate the least common multiple of 22 and k(13).
176
Let h be (-20)/(-15)*(-3)/(-2). Suppose -h*o - 160 = -7*o. Find the common denominator of 0 - (-34*(-20)/16 - 0) and o.
2
Calculate the smallest common multiple of 16 and (-2 + 32)/6 - (-7 + 0).
48
Suppose -6*t + 24 = -42. Suppose 0 = -3*n - u + 13, -u - t = -2*n + 6. Let r(i) = -2*i**3 - 2*i**2 + 2*i. What is the least common multiple of n and r(-2)?
12
Suppose 19*m - 618 = 218. What is the least common multiple of 24 and m?
264
Suppose 0 = -22*n + 41*n - 15580. Calculate the smallest common multiple of n and 4.
820
Suppose 4*f - 28 = -0*f. Let z = f - 3. What is the lowest common multiple of 10 and z?
20
Suppose -x + 2 = -2*x. Find the common denominator of ((-196)/12 - (-2)/4) + x and (-2)/8 - (-82)/16.
24
Let b be (-2)/8 - (-175240)/(-48). Let a = b + 3646. What is the common denominator of a and -1 + ((-71)/(-6))/1?
12
Suppose -20 - 49 = 4*d + 3*y, 4*d + 48 = 4*y. Let q = -7686 + 7734. Find the common denominator of -2 - (-2 + 44/d) and q.
15
Let a be (-1)/(-3) + 809553/126. Let m = 6420 - a. Calculate the common denominator of m and 1 + (-532)/(-24) + -6.
42
Find the common denominator of (-8949)/2584 + (7 - (-1 - -4)) and 87/170.
680
Let l(y) = y**2 - 12*y - 11. Let p be 0 + 3 + (-20)/(-2). What is the least common multiple of 20 and l(p)?
20
Let z be 908/20 - (-4)/(-10). Suppose -z = 4*t - 9*t. Suppose r + 1 - t = 0. What is the least common multiple of 5 and r?
40
Suppose -4*f + 3*m + 471 = 0, -2*m + 4 = -6*m. Calculate the smallest common multiple of f and 168.
6552
Let h be 12/(-18) + (-6)/(-9). Suppose -3*c = -2*o - 0 - 19, h = -2*c + 5*o + 31. Calculate the least common multiple of -22*c/(-4 - -1) and 16.
176
Let o = 3364 + -2063. Let i = -8467/2 + 2970. Let y = o + i. What is the common denominator of y and 91/4?
4
Let g be (-11415)/110 - (-3)/6. Let s = g + 5881/66. Calculate the common denominator of 125/6 and s.
6
Let u = 3430/29 + -71703/580. Let i(d) = -3*d**3 - 2*d**2 - 2*d - 1. Let g be i(-1). Calculate the common denominator of u and g/1 + 66/60.
20
Let h be 12/42 - (-2)/(-7). Suppose h = -f - 26 + 35. Calculate the least common multiple of 1 and f.
9
Let y(z) = 814*z. Let s be y(-2). Let i = -16349/10 - s. Calculate the common denominator of i and -47/20.
20
Let u = 1303 + -1287. What is the least common multiple of 174 and u?
1392
Let d = 370327/32 - 11571. Let o = 3819/8 - 476. Find the common denominator of d and o.
32
Suppose v = 12*v - 132. Suppose p = -1 + v. What is the least common multiple of 4 and p?
44
Let m = -101 + 131. What is the smallest common multiple of 27 and m?
270
What is the common denominator of (1 - 2) + (-16245)/(-4750) and -1 + (-41)/(-12) + -1?
300
Find the common denominator of -2/81 and 4036/(-1680) + 4/14.
1620
Let b = -90631/120 - -3804/5. What is the common denominator of 19/2 and b?
24
Suppose 0 = 4*u, 19*t - 17*t - 120 = u. What is the lowest common multiple of 36 and t?
180
Let h(w) be the first derivative of -w**2 - 3*w - 6. Let a be h(-4). Suppose 5*f + 20 = 3*k, 4*k - a = -4*f + 11. What is the least common multiple of k and 2?
10
Suppose o = -5*s + 843 + 110, -o = -3*s - 945. Calculate the least common multiple of o and 22.
10428
Find the common denominator of (-11)/220*-206 - 6 and 79/8.
40
Suppose 266 - 26 = 2*i + 4*f, -3*f + 15 = 0. Calculate the least common multiple of 105 and i.
2310
Let n = 567 + -552. What is the smallest common multiple of n and 6?
30
Let t = 41 - 39. Suppose 3 = -y - t*n + 13, 3*y - 36 = -3*n. What is the lowest common multiple of 4 and y?
28
Let p(a) = 3*a**2 + 9*a - 20. Let z(u) be the third derivative of -u**6/120 + u**5/60 + 4*u**3 + u**2. What is the lowest common multiple of p(2) and z(0)?
120
Let m = -165/76 - 68/19. Let c = -22847/6 + 3828. Calculate the common denominator of m and c.
12
Suppose 4*t - 5*o - 334 - 117 = 0, o + 3 = 0. Calculate the lowest common multiple of t and 1.
109
Suppose 6*r - 3*r = -5*m - 16, 0 = 2*r + 4*m + 14. Suppose -r*n = -2*u + 16, 3*u + 30 = 4*u + 4*n. Calculate the least common multiple of u and 16.
112
Find the common denominator of (2/(-35))/((-16)/1140) and -1/112.
112
Let x be (20/(-2) - -2)/(-2). Suppose 2*r = 4*d - 118, 5*d - 116 = d + x*r. What is the least common multiple of 21 and d?
210
Let z = 12809/12 + -1068. Suppose 2*u = 4*u - y + 7998, -5*y = 3*u + 12010. Let h = u - -71905/18. Find the common denominator of h and z.
36
Suppose -4*y - d = -0*d - 4, 2*y + 20 = 5*d. Suppose -4*r - 8 = y, -f = -5*f - 4*r - 168. Find the common denominator of -63/5 and (-1 - f)*(-8)/80.
10
Calculate the common denominator of (-4984)/(-624) + -2 + -4 and 51/8.
312
Suppose -4*n + 84 = -4*r, -3*n = -5*r + 2 - 67. What is the smallest common multiple of n and 24?
120
Let j = -239 - -261. Calculate the lowest common multiple of j and 98.
1078
Let n(p) = -19*p**2 + 7*p + 6. Let f be n(-2). Let o = f - -126. Let y = 15 - -7. Calculate the smallest common multiple of o and y.
462
Let c(u) = 18*u - 68*u - 79*u - 12*u. Let b be c(15). Find the common denominator of b/120*(-4)/(-6) and -59/4.
4
Find the common denominator of (-67)/(-6)*3/2 and (25/(-6))/(22/(-99)).
4
Suppose -5 - 28 = -a. Suppose -4*j + 27 = -a. Calculate the lowest common multiple of 9 and j.
45
Let t = -930 - -7511/8. Calculate the common denominator of 85/4 and t.
8
Let l be 381/1245851*6580/14628. Let m = l + 3/122981. Let b = -370448/135839 - m. What is the common denominator of -101/4 and b?
44
Suppose -43*o = 11*o - 756. Suppose 9 = a - 9. Calculate the smallest common multiple of a and o.
126
Calculate the common denominator of 79/15 and ((-6)/(-5))/(9/((-612)/(-16))).
30
Suppose 2*o + 2*o - 20 = 0. Calculate the least common multiple of o and 1/((-6)/(-4))*(-15)/(-2).
5
Suppose -y = r, 3*r - 3*y + 10 = r. Find the common denominator of -54/11 and r*((-98)/(-16) + -1).
44
Suppose -u - 85 = 25. Calculate the common denominator of -23/12 and 2/5 - 5071/u.
12
Let i = 561 + -4433/8. Let o = -1/805 + -18513/1610. Calculate the common denominator of i and o.
8
Let d = 174323/30 + -5810. Find the common denominator of 88/15 and d.
30
Let t(x) = 2*x - 2*x + 2*x + x**3 + 9*x**3. Let f be t(2). Suppose -r = -4*r + f. Calculate the lowest common multiple of r and 8.
56
Let w(n) = 2*n**3 + 28*n**2 - 18*n - 21. Calculate the least common multiple of w(-14) and 126.
1386
Let z be 1*(1 + -3)*-1. What is the common denominator of 41/20 and (-228)/64*z*2?
20
Let p(b) = 15*b**3 + 10*b - 9. What is the smallest common multiple of p(1) and 444?
1776
Let b be (2847/(-24) - 1) + -2. Let m = 15155/24 + b. Let k = m + -1681/3. Calculate the common denominator of 32/5 and k.
10
Let q(a) = 3*a - 6. Let m(k) = -5*k + 9. Let f(w) = -5*m(w) - 7*q(w). What is the smallest common multiple of 3 and f(3)?
9
Let i = -4598 + 262130/57. Find the common denominator of i and 17/24.
456
Let y = -88 - -88. Suppose 4*x - 6*x + 28 = 3*s, y = -2*x - s + 36. Suppose -q = -5 - 1. What is the lowest common multiple of q and x?
60
Let n = -164431/130 + 1265. Calculate the common denominator of -62/91 and n.
910
Suppose -3*t + 63 = -0*t. Let g = t + -11. Calculate the least common multiple of (-56)/(-10) + (4 - (-36)/(-10)) and g.
30
Let s(a) = a**3 + 15*a**2 - a - 4. Let h be 18/(-3)*30/12. Let p(c) = -c**3 