27. Let a(n) = n**2 + 2*n - 1. Calculate the smallest common multiple of 16 and a(q).
112
Suppose 0 = -23*v + 18*v + 40. What is the least common multiple of 30 and v?
120
What is the common denominator of -59/4 and (2/(-24))/(3/(-606))?
12
Let l = -183/11 - -130/11. What is the common denominator of 24 and l?
11
Let o be 1676/(-5)*40/(-12). Let u = o + -1135. What is the common denominator of 55/2 and u?
6
Let x = -2 - 16. Calculate the common denominator of (20/x)/((-7)/84) and 81/10.
30
Let k(u) = 14*u + 1 - 5*u**2 - 9 + 2*u**3 - 9*u**2 + 2. Let l be k(9). Let i = 951/2 - l. Find the common denominator of i and 61/4.
4
Suppose -2*g = -2*f - 2*f - 20, 4*f = -12. Let l = g - 0. Find the common denominator of 158/20 + 0/(-2) and l.
10
Let i(k) = k**3 + k. Let t be (-6)/(-10) + (-2)/(-5). Calculate the least common multiple of 2 and i(t).
2
Calculate the common denominator of (226/24 + (-2)/(-3))*2 and 117/10.
30
Suppose 0 = q + 4*v - 54, 7*v - 189 = -3*q + 4*v. Calculate the smallest common multiple of 6 and q.
66
What is the common denominator of (847/210)/((-2)/6) and -33/2?
10
Let z = -222213/5 + 43627. Suppose -2*q = -5*i - 1663, -i - 1597 = -4*q + 1684. Let r = z + q. Calculate the common denominator of 0 and r.
5
Let v(k) = -4*k + 94. Calculate the smallest common multiple of 42 and v(22).
42
Let u = -561959/198920 + 1/19892. Calculate the common denominator of 9/16 and u.
80
Calculate the common denominator of (3 - 1) + (-168)/176 and 83/22.
22
Let l = -38663/15 - -2576. Find the common denominator of -91/15 and l.
15
Suppose 5*z = -2*b + 46, -27 = -3*b - 4*z + 35. What is the least common multiple of b and 168?
504
Let o = 220519/24 - 9190. Calculate the common denominator of o and 0/2 + 627/154.
168
Let c = 29816/9 + -551774887/166554. Let p = -504286/46265 - c. Calculate the common denominator of -51/5 and p.
10
Suppose -5*o = -15, -5*h + 5*o = -3*h - 5. Suppose -3*v + 5*x - 3 + 48 = 0, -51 = -3*v + 3*x. What is the least common multiple of h and v?
20
What is the common denominator of -2*6/4 - (-154)/16 and 28/3?
24
Let d be 5812/(-48) + (-1 - -1). Let i = -751/6 - d. Calculate the common denominator of i and 29/2.
12
Let q = 78 + -64. What is the smallest common multiple of q and 20?
140
Suppose -3*h + 8*h - 100 = 0. What is the least common multiple of h and 2?
20
What is the common denominator of -51/4 and 1 + (4 - (-207)/(-22))?
44
Let z = 9 - 16. Let v = -20 - z. Let w = v + 23. Calculate the least common multiple of w and 10.
10
Let k = -72 + 136. Suppose 3*o - k = -3*l - 13, -o + l + 27 = 0. Let s(d) = d + 18. What is the smallest common multiple of o and s(-6)?
132
Suppose -6*z + 4*n + 13600 = -4*z, -n = 3*z - 20400. Suppose -6*x + z = -x. Let h = x + -2661/2. What is the common denominator of -37/20 and h?
20
Let g = 6 - 4. Suppose -f = -2*x + 3*x - g, f + 3 = -2*x. What is the lowest common multiple of 3 and f?
21
Let x = -16333/6 - -2728. What is the common denominator of -93/8 and x?
24
Let v = 1300 + -29906/23. Let o = 223/115 - v. Calculate the common denominator of o and 37/8.
40
Let b(n) = 0 + 10*n**2 + 0. Suppose w + 45 = 4*k, -k = 6*w - w - 27. Calculate the lowest common multiple of b(1) and k.
60
Let b be 1/5 - 101998/(-10). Let x = b - 142889/14. Find the common denominator of x and 71/12.
84
Let p(x) = 5*x**2. Let o be 5/(-10) + 1/(-2). Let c be p(o). Find the common denominator of (-1959)/90 + (-2)/c and 2/7.
42
Suppose 0 = -k + 2*k + n - 27, k - 18 = 2*n. What is the lowest common multiple of 9 and k?
72
Find the common denominator of 35*(0 + -1)/9 and -29/2.
18
Calculate the common denominator of -57/5 and 2/2 - 88/(-6).
15
Let l(b) = -b**3 - b**2 + 2. Let h be l(0). Let i be 22417*(h - 1 - 0). Let y = i - 403643/18. Calculate the common denominator of -67/2 and y.
18
Let o = -1 + 2. Suppose -h + o = -6. Calculate the least common multiple of h and 11.
77
Suppose 5*t = 9 + 11. Suppose 3*x + t*s + 13 = 41, 5*x - 62 = s. Calculate the least common multiple of x and 4/((-19)/(-45) - (-10)/(-45)).
60
Let f = -12 + 14. Suppose -f*n - 4*z = -5*z - 11, 5*z = -3*n + 10. Let k = 0 + 11. Calculate the least common multiple of k and n.
55
Suppose 3*l - 73 = -c, 0 = 3*l + l + 5*c - 101. Suppose 0 = -2*f - f + l. What is the common denominator of -2 - (-2 - (-146)/f) and 41/20?
20
Suppose -2 = -0*f - 2*f. Suppose s + f - 12 = o, -4*s - 5*o + 35 = 0. What is the smallest common multiple of s and 4?
20
Let g(m) = -m**2 - 7*m + 4. Let l be -1*3*10*1. Let q = -16 - l. Calculate the lowest common multiple of g(-7) and q.
28
Suppose 2*g - 2 = 2. What is the least common multiple of 7/((-35)/(-40)) - 1 and g?
14
Let l = -4 + 6. What is the smallest common multiple of l and 7?
14
Suppose -5*s - 108 = -s. Find the common denominator of 61/6 and ((-57)/s)/((-1)/3).
6
Let r(u) = -2 - 10*u + 6*u**3 + 3 + 9*u - u**2. Calculate the smallest common multiple of 10 and r(1).
10
Let a(q) = -68*q. What is the lowest common multiple of a(-1) and 4?
68
Let l = 29310/23 - 1274. Let n = 205/138 + l. Find the common denominator of (378/(-8))/(105/14) and n.
30
Let a = 2 - -1. Let n be 3 - (a/(-1))/(-3). Suppose -f = -4*s + 13, 3*s = n*f - 3*f + 8. What is the lowest common multiple of s and 10?
30
Let z(c) = -c**2 + 4*c. Calculate the smallest common multiple of 4 and z(2).
4
Let r = -6 - -23. Let w = 20 - r. What is the smallest common multiple of 4 and w?
12
Let f(s) = 2*s**2 - 4*s - 8. Calculate the smallest common multiple of 14 and f(6).
280
Let f be ((-2)/(-4))/(2/64). Suppose 4*m + 0*m = f. Suppose -54 = -m*s + 5*i, 5*s - 18 = 5*i + 52. Calculate the lowest common multiple of s and 22.
176
Let s(r) = -r**3 + 5*r**2 - r + 4. Let d be s(5). What is the lowest common multiple of 1 - (-5 - 1) - d and 2?
8
Let t = 32 - 25. What is the lowest common multiple of 10 and t?
70
Suppose 2*t = 2*j - 12, -2*j = -2*t + 2*j - 20. Calculate the common denominator of -29/2 and ((435/t)/(-5))/4.
8
Let l be (24/20)/(9/30). Suppose -4*m - 5 + 25 = 4*z, -5*z - l*m = -22. Calculate the lowest common multiple of 8 and z.
8
Let n = -3 - -11. What is the lowest common multiple of n and 16?
16
Let f = -48 - -57. What is the smallest common multiple of 7 and f?
63
Find the common denominator of -121/20 and ((-276)/16)/((-81)/30).
180
Let k = 0 + 2. What is the lowest common multiple of 9 and k?
18
Let w(q) = q**3 - 7*q**2 + q + 9. Calculate the smallest common multiple of 10 and w(7).
80
Calculate the common denominator of -19/6 and ((-6)/60)/((-2)/(-485)).
12
Let a be 2/(-4) + (-2)/4. Let l = a - -9. What is the smallest common multiple of l and (-70)/(-9) - (-2)/9?
8
Let q be 21847/12 + (7 - 7). Let z = 1810 - q. Find the common denominator of z and 93/20.
60
Let u = 2 - -8. Calculate the smallest common multiple of u and 35/14 + 1/(-2).
10
Suppose -3*w + 0*w = 0. Suppose w = 5*z - 31 + 1. Suppose j - 9 + 4 = 0. What is the lowest common multiple of j and z?
30
Let u(x) = x - 6. Let t be u(8). Let q(a) = -a**2 - 10*a - 9. Let w be q(-9). Let z = t - w. Calculate the least common multiple of z and 12.
12
Let p = -15312 + 2985833/195. Let o = p + -694/585. Calculate the common denominator of o and -71/10.
90
Let o be 46/4*(7 + -5). Let r(n) = -n**3 + 8*n**2 - 9*n. What is the least common multiple of -3 + 3 + o - 1 and r(6)?
198
Suppose -m - 4*m = c - 5, -5*m + 4*c + 30 = 0. What is the smallest common multiple of m and 1?
2
Calculate the lowest common multiple of 1 and -5 + 5 + -3 - (0 + -18).
15
Let k be 4/2 - (-25483)/(-16). Let b = k + 1593. Calculate the common denominator of b and ((-44)/(-10))/(4/9).
80
Let j(y) = y - 1. Let a be -1*(1 + (-3)/1). Let i be j(a). Suppose c = i + 9. What is the common denominator of 35 and c?
1
Let l be -3 - -1 - -2 - -29. Suppose -5*u - 3*f - l = f, 0 = 3*u - 2*f + 13. Let y = u + 6. What is the smallest common multiple of 2 and y?
2
Let g(y) = 5*y**2 - 3*y - 4. Let t be g(3). Let v = -22 + t. What is the least common multiple of 8 and v?
40
Let x(z) = -6 + z - 6 + 3*z. Find the common denominator of -89/8 and x(14).
8
Let o(s) = s - 6. Let u be o(4). Find the common denominator of u/(-5) - 178/(-20) and 38/11.
110
Suppose 0 = -5*c + 4*r - 2, -r + 1 = -2. Suppose -c*o = -4*a - 0*o + 82, -2*o = 3*a - 72. What is the lowes