 -5. Let m = -2 - q. Suppose u + 4*x = 6*u - 44, -m*u + 18 = -2*x. What is the lowest common multiple of 1 and u?
8
Suppose 12*x = 15*x - 18. What is the lowest common multiple of x and 2?
6
Let t = -184429 + 1111477/6. Let n = t - 794. What is the common denominator of 113/10 and n?
30
Let y be 104/80*4457/(-753). Let v = 4/753 - y. Let i = -21707/6 - -3596. Find the common denominator of i and v.
30
Let u(d) = -d**2 + 10*d - 11. Let f be u(8). Let q = f - -7. What is the least common multiple of 12 and q?
12
Let h = -79037/10 + 7892. Find the common denominator of 23/4 and h.
20
Let r(b) = -8*b. Let k be r(5). Let z(v) = 193*v - 20. Let u be z(-2). Calculate the common denominator of 3/(-12) + u/k and -73/9.
90
Let i = 8110 + -64779/8. Calculate the common denominator of 17/(-5)*28/16 and i.
40
Let r = 47129/60 + -3882/5. Calculate the common denominator of r and -57/22.
132
Let u(b) = b**2 - 4*b. Let k be (-1)/2 - (-25)/(-2). Let t = 21 + k. What is the smallest common multiple of t and u(5)?
40
Let g(s) = s**3 + 14*s**2 + 12*s - 15. Let t be g(-13). What is the common denominator of t/4 + (-1380)/144 and 55/18?
36
Find the common denominator of 2 + 0 - 118/(-44) and 143/18.
198
Let i(n) = n**3 + 9*n**2 + 12. Calculate the least common multiple of 90 and i(-9).
180
Suppose 4*o = 2*o + 156. Let g be (-2)/7 + o/(-21). Calculate the common denominator of 381/(-84) + 1/g and -31/12.
84
Suppose 13 - 5 = 2*r. Let h(c) = 2*c**2 + c - 2. Let x be h(-2). Suppose 0*d = -d + x. Calculate the least common multiple of d and r.
4
Calculate the common denominator of (-59)/4*(-4 + 3) and -101/6.
12
Suppose 0*g + 3*g + 2*z = -16, 19 = -3*g + z. Let a be 132*((-8)/g + -3). Find the common denominator of 15/14 and 742/a - (-6)/(-15).
154
Let p = 1/51387 - 935808661/205548. Let s = -4528 - p. What is the common denominator of s and -39/4?
4
Let l(h) = 10*h - 2. Suppose d = -d + 4. Calculate the least common multiple of 4 and l(d).
36
Suppose -k + 9 = 3*y, 3*k - 15 = k - 5*y. Suppose k*p = p - 4. What is the smallest common multiple of 5 and p?
20
Suppose 7*o = 4*o - 42. Let d = -10 - o. Calculate the least common multiple of 1 and d.
4
Suppose 3*d + d = 16, 27 = 5*o + 3*d. Suppose 4*z = 8, 2*k - o*z = -2*z + 18. Calculate the lowest common multiple of 2 and k.
10
Let p(n) = -n**3 + 4*n**2 + 3*n - 5. Let r = 47 + -43. Calculate the smallest common multiple of r and p(4).
28
Let g(l) = -4*l. Suppose 5*i + 3 = d, 0*i + 27 = 2*d - 3*i. What is the smallest common multiple of g(-1) and d?
36
Let c(b) = -b**2 + 15*b - 8. Let g be c(11). Calculate the common denominator of -19 and (-2)/9 - 418/g.
6
Let r(u) = -u + 11. Calculate the lowest common multiple of r(7) and 82.
164
Let h = -209327/14 + 14960. Let t = -461/11 + 7015/154. Find the common denominator of t and h.
14
Let p = -1195807/40 - -29898. Find the common denominator of p and -34.
40
Let m = -6 - -6. Suppose m = -2*q - 2*q + 32. What is the least common multiple of 1 and q?
8
Let l(n) = -19*n - 36. Calculate the lowest common multiple of l(-4) and 4.
40
Let z be (-3)/((-6)/(-4)) - 2480. Let f be z/(-4564) + (-4)/8. Let l = f - -155417/20538. Calculate the common denominator of 107/12 and l.
36
Let n = -31 + 49. Calculate the least common multiple of n and 18.
18
Suppose 2*c - b - 49 + 16 = 0, 4*b - 102 = -5*c. Calculate the lowest common multiple of c and 3.
18
Let r = -152984/3 - -50382. Let n = r - -25507/42. Find the common denominator of -37/4 and n.
28
Suppose -31 - 25 = z. Find the common denominator of -1 + z*3/27 and 58/7.
63
Find the common denominator of ((-186)/16)/((-2)/4) and 5688/112 + 2/(-7).
4
Let b = -560217163/130 - -4309267. Let x = 1335/13 + b. What is the common denominator of 3/8 and x?
40
Let n(z) = -4*z + 11. What is the least common multiple of 21 and n(2)?
21
Suppose b = -3*m + 11, -m = -2*b + 3*m + 52. What is the least common multiple of b and 14?
140
Let w = 873/5390 - 43065503/5390. Let a = w - -1228281/154. Let l = a + 167/22. What is the common denominator of 58/7 and l?
7
Let v be 144/2*(-379)/21. Let g = v + 1305. Find the common denominator of g and -89/6.
42
Let n(o) be the second derivative of o**5/20 - 5*o**4/12 + o. Let c be n(5). Suppose c = -0*a - 2*a + 2. What is the lowest common multiple of a and 8?
8
Let h = -4 + 3. What is the lowest common multiple of (0/(-1))/h + 10 and 1 - -11 - 1 - 0/5?
110
Suppose -5 = -o + 1. What is the least common multiple of 7 and o?
42
Suppose 0 = -3*w - 5*n + 186, 2*w - 129 = -5*n - 0*n. Suppose 0 = 2*d - w + 17. Let v(f) = -f - 4. Calculate the least common multiple of v(-8) and d.
20
Let s = 27 - 18. Suppose 0*u - s = u. What is the common denominator of u/(-6) + 20/(-9) and -71/14?
126
Let h = -50 - -31. Let i = h - 8. Calculate the common denominator of (-129)/i - -2 - 1 and 19/7.
63
Let b be ((-16)/(-6))/((-2)/(-6)). Let o = 21 + -1. Calculate the least common multiple of 14/b + (-2)/(-8) and o.
20
Let w = 24 - -30. What is the smallest common multiple of w and 10?
270
Let f = 3 - -4. Suppose 4*t - 5*o = 69 - 22, 3*t - 12 = -4*o. Calculate the smallest common multiple of f and t.
56
Let j = -8239 - -173086/21. Find the common denominator of -103/24 and j.
168
Suppose -3*l + 25 = 2*l, 5*f + 4*l - 45 = 0. Suppose -2*d - 3*i + 17 = 0, -5*i = -f*d + 6 + 49. What is the least common multiple of d and 9?
90
Suppose i = -5*c + 43, -4*c + 18 = 5*i - 92. Calculate the smallest common multiple of 24 and i.
72
Let t(l) = 6*l. Calculate the smallest common multiple of 10 and t(2).
60
Let y(q) = q**2 + 4*q - 1. Suppose -2*a - a = -9. Let u be y(a). Find the common denominator of -25 and 2/(-4)*256/u.
5
Let l = 33 - 31. What is the least common multiple of l and 9?
18
Let m be 0*-1*(-2)/(-2). Let v(q) = q + 14. Calculate the least common multiple of v(m) and 18.
126
Let l be 371253/30 + (-2)/5. Let k = -12364 + l. Find the common denominator of k and 5/(-25) + (-112)/90.
90
Suppose -5*m = -3*j - 232, -2*m + 8 + 2 = 0. Find the common denominator of -61/3 and (6/4)/(45/j).
30
Let c = -60 - -36. What is the common denominator of 0 - 2 - 69/c and 24?
8
Suppose -p - 2*f = -f - 11, -4*p - f + 41 = 0. Let a(v) = 2*v - 18. What is the lowest common multiple of p and a(13)?
40
What is the smallest common multiple of (-10)/14 + 1 - (-416)/14 and 24?
120
Let f = 26 + -17. What is the lowest common multiple of f + 7 - (1 + -1) and 8?
16
Let i = 1 - -2. Suppose x = 2*q - 3 + 10, -4*q - 19 = -i*x. Suppose -20 = -8*h - 4. Calculate the lowest common multiple of x and h.
10
Let x(z) = -z - 1. Let i be (2 - (-5)/(-2))*6. Calculate the least common multiple of x(i) and 14.
14
Let x(w) = -w**2 - 4*w + 7. Calculate the lowest common multiple of 18 and x(-5).
18
Suppose 5*i + m + 24 = 0, 0*i = 2*i - m + 4. Let c be ((-72578)/(-48))/((-261)/i). Let n = -5/783 + c. What is the common denominator of -39/8 and n?
24
Let q = -1/3172 - 8719/12688. Find the common denominator of -119/12 and q.
48
Suppose -2 + 8 = 2*s. Suppose 0 = -5*y - 0*c - c + 11, 0 = -y - s*c - 9. What is the lowest common multiple of 6 and y?
6
Let p(x) = 41*x**2 - 6*x - 5. Let h be p(8). Suppose z + 2*l = -h, l + l + 10296 = -4*z. Let k = z + 30865/12. Find the common denominator of -93/14 and k.
84
Let a(f) = -f**3 - 8*f**2 + f + 3. Let m be a(-9). What is the common denominator of (m/36 - 2)*-10 and -8?
6
Suppose -p = -3*p + 10. Suppose 2*q = p*q. Suppose 4*r - 101 - 65 = 2*u, q = 5*r + 5*u - 215. Calculate the common denominator of r and -56/11.
11
Suppose -s + 29 = 9. Let k = -10 + s. What is the lowest common multiple of 5 and k?
10
Let z(j) = -j - 11. What is the smallest common multiple of 1 and z(-13)?
2
Let h = -31/107 + 16343/642. Find the common denominator of 49/100 and h.
300
Suppose 0*n - 37 = -4*g - 3*n, -45 = -5*g - 5*n. Suppose -2*s = 3*m - 26, -3*m - 1 = -s - 24. Calculate the least common multiple of g and m.
40
Suppose z = 3*g + 1875, 5*z + g + 3*g = 9375. Let w = 14975/8 - z. Calculate the common denominator of w and 109/10.
40
Let o = 132964553/3902 + -34076. Let s = 100472/17559 + o. What is the common denominator of 5/18 and s?
18
Let d be (-23892)/10 - (-3 - -1). Let k = d + 2378. Calculate the common denominator of -61/9 and k.
45
Let t be 3/((-9)/(-6)) + 10. Suppo