5. Suppose 0*q + q = -d. Calculate the common denominator of 77/6 and 318/(-120)*1*q.
30
Let s(m) = -m**2 + 9*m - 2. Let b be s(8). Find the common denominator of -47/9 and 2/(-2)*134/b.
9
Let o = 1 - -2. Let r = -103 - -112. What is the least common multiple of r and o?
9
Suppose -15*l - 6 = -18*l. Let p(m) = -10*m**3 - m**2 + 1. Calculate the lowest common multiple of p(-1) and l.
10
Let a = -20 - -14. Let g = a + 12. What is the least common multiple of g and 6?
6
Find the common denominator of ((-59)/(-9))/1 + 6/(-6) and 113/36.
36
Let a(i) = i**2 + 2*i - 8. Let x be a(-8). Suppose 2*d = -56 - x. Find the common denominator of 0 + 2 + d/(-27) and -46/7.
63
Let q(p) = -4*p. Let g = 24 - 38. Let m be 2/6 - g/(-6). What is the least common multiple of q(m) and 16?
16
What is the least common multiple of 2 and 6934/22 - (-2)/(-11)?
630
Suppose -2*f - 32 = -4*f. What is the smallest common multiple of 4/14 - (0 + 328/(-28)) and f?
48
Suppose 4*d - 1 - 1 = 2*t, -5*t - 15 = 0. What is the common denominator of 89/20 and 1 + d*130/32?
80
Calculate the common denominator of -109/66 and 4/((-1584)/447) + 6/(-8).
66
Let p = -90525/14 + 6461. What is the common denominator of (505/150)/(-2 + (-8)/(-5)) and p?
84
Suppose -2*l = 4 + 2. Let h(n) = -n**3 - 2*n**2 + 2*n + 3. What is the least common multiple of h(l) and 18?
18
Let m(q) = 2*q + 1. Let y be m(-2). Let a = 2 - y. Calculate the least common multiple of a and 153/21 + 2/(-7).
35
Let u be -2*3*(-4)/(-8). Let b(o) = -o**2 - 5*o + 4. Calculate the smallest common multiple of b(u) and 3.
30
Let g = 71133/10 - 7121. Find the common denominator of 79/14 and g.
70
Calculate the common denominator of 4/14 + (-1014)/(-28) and 41/4.
4
What is the smallest common multiple of 22 and 0 + (-28)/((-4)/2)?
154
Suppose 32 = 5*v - 78. What is the smallest common multiple of (-6)/3 - (0 - v) and 16?
80
Suppose -m + 403534 = -1261428. Let r = m - 20095325/12. Let z = 9658 + r. What is the common denominator of 37/22 and z?
132
Let n be 10666/(-252) + 2 + 0. Let h be 278/5*10/(-14). Let s = h - n. What is the common denominator of -27/14 and s?
126
Suppose -4*n + 7*n = -47928. Let f = 223773/14 + n. What is the common denominator of f and -31/20?
140
Let n = -1577 - -9427/6. Find the common denominator of 3/5 and n.
30
Let s = 0 + 2. Suppose s*t - 46 = -5*r, -2*t + t = -4*r - 10. Suppose -5*p - t = -6*p - 3*g, -2*p + 5*g = 19. Calculate the least common multiple of p and 9.
9
Calculate the smallest common multiple of (1 + 7)*65/26 and 20.
20
Let t(q) = -5*q**2 + q - 9. Let i be t(-13). Let b = i - -9530/11. Let l = 4359/10 + -447. Calculate the common denominator of b and l.
110
Let x(j) = 2*j - 5. Let w be x(6). What is the least common multiple of 1*(1 + -3 + w) and 6?
30
Let r be (-3)/((-6)/8) + 0. Suppose 3*t = -r*o + 18 + 22, -5*o = -2*t - 4. Calculate the least common multiple of -11*(-2 - (2 - 2)) and t.
88
Let n(o) = -o - 13. Let c be n(0). Let s = 27 + c. Calculate the lowest common multiple of 12 and s.
84
Let s = 371555/28 - 13273. Calculate the common denominator of -13/8 and s.
56
Let j(c) = -16*c - 4. Let r(y) = y - 1. Let a(u) = j(u) - 4*r(u). Suppose 5*g - 2 + 7 = 0. What is the least common multiple of a(g) and 12?
60
Suppose s + 2*b + 0*b + 15 = 0, -3*s = -3*b. Let j(o) = 13*o**2 + o. Let y be j(-1). Let g = s + y. Calculate the least common multiple of 8 and g.
56
What is the common denominator of (-1189)/(-464) + 1 + -1 and -7/9?
144
Suppose 0 = -c - 10 - 10. Calculate the common denominator of 1/(c/(-146)) + 2 and (6/28)/(21/791).
70
Calculate the common denominator of -35/3 and (-1066)/(-120) - (-12)/(-90).
12
Suppose 4*f + 7 = -5*a + 56, 5*a = 3*f + 7. Calculate the lowest common multiple of 14 and f.
42
Let w = 7 - 13. Let c be ((-2)/(-2))/(w/(-30)). Let s = -2 + c. Calculate the least common multiple of s and 10.
30
Let w = -13 - -5. Calculate the common denominator of -41/11 and (-102)/w - (2 + -1).
44
Let d = 18 + 1. Let y = 31 - d. Suppose -4*c + 6 + 10 = 0. Calculate the smallest common multiple of y and c.
12
Suppose -f - 2*f = -2*a - 17, a + 3*f - 14 = 0. Let s = -1006/105 - -268/15. Find the common denominator of s and -2*(a + (-3)/18).
21
Suppose 2*r + 80 = 3*r - 4*n, -n - 5 = 0. What is the common denominator of (22/(-6))/(r/(-162)) and (-1 + 2)/((-8)/46)?
20
What is the least common multiple of (-2)/(-6) - (-416)/48 and 2?
18
Suppose -3*a + 26 = -4*s, -2*s = 4*a + 5 - 3. Suppose 4 = x, 0*y - y + x = 0. What is the smallest common multiple of y and a?
4
Let w = -18181/11 - -1649. Calculate the common denominator of 65/9 and w.
99
Let q = -5 - -2. Let f be 24*-1*(-12)/16. What is the common denominator of 65/f - (-2 - q) and 19/4?
36
Let g = -5 + 9. Suppose -5*s - 164 = g*u, 0 = 4*u - 3*s + 25 + 107. What is the common denominator of (-904)/u + (-2)/(-9) and -83/8?
24
Suppose -4*a + 4*p = -8, -p = 2*a + 3*a - 16. Suppose 4*k + 1 = g + k, a*g - k - 27 = 0. Let j = 21 + -13. What is the lowest common multiple of g and j?
40
Let p(i) = -1 + 4*i + 3*i**2 + 3 + 0. Let x be p(-2). Suppose -5*d - w + x*w = -35, -28 = -5*d - 2*w. Calculate the smallest common multiple of d and 20.
60
Let s(x) be the first derivative of x**2 - 5*x + 3. Calculate the lowest common multiple of 6 and s(6).
42
Let r(x) = 2*x + 1. Let v(y) = -2*y**2 + 24*y + 33. Calculate the lowest common multiple of v(13) and r(3).
7
Let f = -2737/198 - -130624/99. Let y = f + -1306. Find the common denominator of 69/8 and y.
72
Suppose 0*k - 8 = -2*k. Let v be (-84)/15 - (-4)/(-10). Calculate the smallest common multiple of k and (-184)/(-24) + (-2)/v.
8
Suppose -5*r - 22 = -47. Let t(c) be the third derivative of -c**6/120 - 2*c**5/15 - c**4/24 - c**3 - 2*c**2. What is the least common multiple of r and t(-8)?
10
Let t = 299/210 + 96/35. Find the common denominator of t and 23/16.
48
Let i(c) = -c**3 + 7*c**2 - 3*c - 5. Let q be i(6). Let l(j) = j + 3. Calculate the lowest common multiple of l(5) and (q/(-1))/(-1) - 3.
40
Let r(u) = u - 3. Let d be 8/(-6)*3/(-2). What is the least common multiple of (-1)/((-3 + d)/1) and r(9)?
6
Let i(d) = -4*d**3 - d**2 - d - 1. Let g be i(-1). Calculate the lowest common multiple of 8 and (-1)/g*-1*9.
24
Let b(j) = 2*j**2 - 6*j - 4. Suppose -2*d - x = -11, -3*d = d - 3*x - 17. Suppose i - 10 = -4. What is the lowest common multiple of i and b(d)?
48
Suppose 0*g + 3*g - 43 = 5*f, 12 = -2*f - 4*g. Let z(p) = p**3 + 8*p**2 - 2*p + 6. What is the lowest common multiple of 18 and z(f)?
198
Let n = -9/295 - -6469/202370. Let f = n - -39783/3430. Find the common denominator of f and 2/6 + 11/(-6).
10
Suppose -2*h + 23 = 7. Let f(n) = -n + 3. Let u be f(3). Suppose u*z + z = 8. Calculate the least common multiple of z and h.
8
Let l = 671 - 2699/4. What is the common denominator of l and (-2)/2*131/(-6)?
12
What is the common denominator of (-60)/(-8) - 0 - -2 and -1/9?
18
Let k = 1020/23 - 16957/414. Calculate the common denominator of k and (-201)/24 + (-2)/2.
72
Suppose 21 = 2*o - b, -6*b = -2*b + 4. Let k = 0 - -8. Let r = k - 0. Calculate the lowest common multiple of r and o.
40
Let z be (1 - 2) + 2/1. Let x = z - 5. Calculate the lowest common multiple of 2/(-4) + (-42)/x and 20.
20
Let v(r) = -5*r - 4. Let s(f) = -f + 11. Let t be s(9). Suppose -5*n + 15 = -5*a, n - a = -t*a + 7. Calculate the smallest common multiple of n and v(-3).
55
Suppose 4*n = 1820 - 688. Suppose -n - 302 = 5*x. Calculate the common denominator of (x/15)/((-16)/5) and -13/8.
16
Suppose 9*w + 2*w = 220. What is the lowest common multiple of w and 12?
60
Let n = -14/9137 + -43035172/63959. Let x = n + 674. Find the common denominator of x and -73/4.
28
Let a = -96 + 140. What is the common denominator of -37/32 and a?
32
Let q = -2198 + 13241/6. What is the common denominator of -23/22 and q?
66
What is the common denominator of 3/6*10/11 and 33/8?
88
What is the lowest common multiple of (-3 - 9*(2 + -3)) + 2 and 14?
56
Suppose -2*j - 4*d - 13 = d, j = 4*d + 13. What is the common denominator of -7/8 and (j/(-13))/((-8)/(-440))?
104
Let p be -3 + 2/((-302)/(-445)). Let l = p + 12565/604. What is the common denominator of -47/3 and l?
12
Calculate the common denominator of 1085/1176 - (-8)/28 and 43/27.
216
Let a 