t u = 9 - v. Calculate the least common multiple of 10 and 4/18 + (-106)/u.
60
Let d be ((-120282)/18)/(-6173 - -1). Let x = d - -1/1543. Find the common denominator of x and 107/22.
132
Let p be (-151514)/(-24) - 2/1. Let g(z) = -6304*z - 1. Let r be g(1). Let d = p + r. Calculate the common denominator of 83/4 and d.
12
Let y = 2359 - 21262/9. What is the common denominator of y and -41/3?
9
Let b = 2182919234/14811 + -147385. Let n = b - -1170085/236976. Calculate the common denominator of n and (31/(-3))/((-8)/(-18)).
16
Let w = 46 - 44. What is the lowest common multiple of w and 5?
10
Let b = 3 + -1. Suppose -3*t - b = 1. Find the common denominator of -67/2 and 484/(-80) - 1*t.
20
Calculate the lowest common multiple of 60 and 1*6/(-2)*220/(-12).
660
Let h = 481/154 - 73/14. Let b = 998 + -7029/7. Find the common denominator of h and b.
77
Let w(p) = p**2 + 3*p - 7. Let x = -23 - -26. What is the smallest common multiple of w(-6) and x?
33
Suppose -6 = -3*r, -2*i - i - 2*r + 16 = 0. Suppose p - i = 8. Calculate the smallest common multiple of 6 and p.
12
Suppose -5 = 2*y - 15. Suppose 0 = 3*j - g - 5 - 27, -3*g + 44 = y*j. Let n = j - 7. Calculate the smallest common multiple of n and 8.
24
Suppose -4*p - 2*j - 2 = 0, 13 = 4*p - 6*j + 3*j. Calculate the smallest common multiple of 7 and p.
7
Let j = -52124/9 - -5799. Let p(m) = m**2 + m + 8. Let w be p(0). What is the common denominator of (-7)/4*w/3 and j?
9
Let y = -7309/6 + 1235. Let h = y - 19/3. Calculate the common denominator of -2*137/12 + 2 and h.
6
Suppose -6*d = -10*d. What is the common denominator of -63/8 and 66/28 - (-3 + d)?
56
Suppose 0 = -3*y + 6*i - i + 3, 0 = -3*y + i + 15. Calculate the lowest common multiple of y and 12.
12
Suppose -3*v - 2*x = -x - 22, 38 = 3*v + 5*x. Calculate the lowest common multiple of v and 20.
60
Let k(q) = -q**2 - 14*q - 18. Let f(y) = 2*y + 16. Let b be f(-14). Calculate the least common multiple of k(b) and 18.
18
Let x = 4 + -8. Let j(w) = -w**3 - w**2 - w - 1. Let l(n) = 2*n**3 + 7*n + 7. Let b(h) = 3*j(h) + l(h). What is the lowest common multiple of b(x) and 11?
44
Let o(v) = -4*v**2 + 3*v**2 - 3 + 4*v - v**2 + 3*v**2. Let m be o(-5). Suppose -f = 1 - m. Calculate the smallest common multiple of 2 and f.
2
Suppose -2*r + 3*j - 4 = -15, 0 = 2*r - 4*j - 12. Let q(b) = b**3 - 4*b**2 + 4*b - 3. What is the common denominator of q(r) and -11?
1
Let p(g) = 4*g**2 + 2*g - 2. Suppose 4*x - 3 = -11, -3*m + x + 89 = 0. Suppose -3*b + 1 = -m. Calculate the smallest common multiple of p(-2) and b.
10
Let w(z) = z**3 - 6*z**2 + 8*z - 3. Let f be (24/(-9))/(1/(-3)). Let b = 13 - f. What is the smallest common multiple of w(b) and 6?
12
Let j(w) = -w**3 + 4*w**2 + 6*w - 2. Let z be j(5). Suppose -z = 5*a - 13. Calculate the smallest common multiple of a and 22.
22
Let a = 583 - -1403. Let t = -55515/28 + a. Calculate the common denominator of t and 73/2.
28
Let k be 1923777/66*(-1)/3. Let i(t) = -197*t**2 + 8*t - 5. Let w be i(-7). Let r = k - w. Find the common denominator of r and 19/2.
22
Let u = -1 - -11. Suppose 3*v = 2*o + 126, 18 = -4*v - o + 175. Suppose -6*b = -b - v. Calculate the least common multiple of u and b.
40
Suppose 4 = 2*t - 0. Suppose -t*n = -3*n + 4. Let x(s) = -7*s**3 - s**2 + 1. Calculate the smallest common multiple of n and x(-1).
28
Suppose 2 = w + w. Find the common denominator of w/(-3) + (-235)/(-66) and 27/20.
220
Let d = 40 + -30. Calculate the lowest common multiple of d and 12.
60
Let m = -24 - -26. What is the least common multiple of 7 and m?
14
Let a = -4 + 0. Let l = 15 + a. Suppose -30 = -2*t + 3*h, t + 52 = 5*t - 4*h. Calculate the smallest common multiple of t and l.
99
Let x(t) = -t + 1 + t**2 + 0 + 3*t. Let k = -5 - -3. Calculate the smallest common multiple of 8 and x(k).
8
Let r = -2/1723 + 81001/17230. Calculate the common denominator of r and 57/40.
40
Suppose 0 = d - 17 + 4. Let v = d - 2. Calculate the smallest common multiple of v and 7.
77
Let j(f) = -3*f**2 - 1. Let n be j(-1). Let m be (-2)/(2 + n) + -1. Suppose m = -7*w + 4*w + 24. Calculate the smallest common multiple of 7 and w.
56
Let d = 11381/734 + -2/367. Let i = -1290979/79854 - -1/13309. What is the common denominator of i and d?
6
Let n = 31/8 - 503/72. Find the common denominator of (0 - -1) + -5 - 2250/(-990) and n.
99
Let h = -37 - -45. What is the lowest common multiple of 6 and h?
24
Suppose -5*n + 28 = 2*a, a - 1 - 22 = -4*n. Suppose 2*q - 12 = -q. Suppose 3*z - q*o = 9, 6 + 0 = 2*z + 3*o. Calculate the smallest common multiple of z and n.
6
Let p = -349389/22 - -15878. Find the common denominator of p and 8055/(-2100) - 2/(-7).
220
Calculate the common denominator of -20/3 and (-1)/(-6)*4*34/(-4).
3
Calculate the smallest common multiple of 9/(243/(-6)) - (-994)/18 and 45.
495
Let k(c) = 2*c - 10. What is the least common multiple of k(6) and 5?
10
Let x be (42/4 + -3)*3. Let m = x - 29. Find the common denominator of m and -49/5.
10
Let u(g) be the second derivative of 0 - 1/2*g**3 - 4*g - 7/2*g**2. Calculate the smallest common multiple of 10 and u(-5).
40
Suppose 6*b - 37 = 23. Calculate the least common multiple of b and 3.
30
Suppose -3*k - 10851 = -3*y, 3*k = -0*y - 3*y + 10881. Let b = -57925/16 + y. Calculate the common denominator of -57/28 and b.
112
Let l = -11588 - -138941/12. Find the common denominator of 5/9 and l.
36
Suppose -t = h - 12, -t = 2*h - 13 - 11. Calculate the common denominator of (1 - -2) + 254/h and 111/14.
42
Let q = 17335/2 - 8320. Let g = q - 354. Let b = -5029/1048 - 10/131. What is the common denominator of b and g?
8
Suppose 4*g - 18 = 4*i - 7*i, 4*g = i - 6. What is the common denominator of (-2 - 3)*(-25)/i and -1 + 1 + (-25)/(-11)?
66
Let d = 74/313 - 18809/9390. What is the common denominator of -31/39 and d?
390
Suppose 0 = 2*t - 4, t + 154 = -4*j - 4*t. Let u(m) = m**3 - 14*m**2 + 31*m - 23. Let n be u(12). Let a = n + j. What is the lowest common multiple of a and 18?
180
Let y = 840 - 1404. Let n = -5083/9 - y. Let u = 22 + 10. Find the common denominator of n and u.
9
Find the common denominator of (207/(-36))/((-5)/6) and 63/2.
10
Suppose 4*r - 5*l + 6 = 0, 3*r + l + 3*l = 11. Let n = -41 - -14. Let y = 38 + n. What is the lowest common multiple of r and y?
11
Let w(q) = 4*q + 45. Calculate the smallest common multiple of w(-11) and 11.
11
Let m = -592/5 + 3347/30. Find the common denominator of 0/2 + 318/132 and m.
66
Let w(a) = a + 17. Let i(q) = q**2 - 3*q. Let t be i(3). Suppose t = 2*j - 17 + 7, j = 5*v - 50. What is the lowest common multiple of v and w(-13)?
44
Let a = 119/19 + -2119/38. Suppose 6*u - u = -5*y - 30, -4*y = 2*u + 20. What is the common denominator of a and (-363)/(-60) + y/16?
10
Suppose 3*j = 17 - 5. Suppose j*g = 2*g + 44. Calculate the lowest common multiple of 16 and g.
176
Suppose 6*n - 3*n - 9 = 0. Suppose n*b = 4*b. Calculate the common denominator of 5/(-20) + -8 + b and -121/10.
20
Let b = -1911/244 - 1/732. Let x = 5094/5 + -1028. Find the common denominator of b and x.
30
Suppose -s = -3 - 47. Find the common denominator of -27/8 and ((-57)/(-4))/(60/s).
8
Let m = 13 - -3. Suppose z = 3*p - 21, 0 = -4*p + p - z + 27. What is the least common multiple of p and m?
16
Let y = -2 - -7. Let r = y + 13. Calculate the lowest common multiple of 8 and r.
72
Suppose 2*a = 10, -d - a - 16 = -4*a. Calculate the common denominator of ((-2)/(-27))/(8/534) and ((-424)/40)/(d + 3).
90
Suppose 2*k - k = 4. Let b = -6 - k. What is the smallest common multiple of 33/5 + (-4)/b and 7?
7
Suppose 20 = -2*k - 3*k, -2*b + 10 = k. What is the least common multiple of b and 1?
7
Let r = 33/25 + -2773/150. Find the common denominator of r and -119/30.
30
Let g = 2659/14 - 395/2. What is the common denominator of -65/9 and g?
63
Let b = -13140502157/11533712 + -6/720857. Let k = 1141 + b. Find the common denominator of 4/18 - 404/360 and k.
80
Suppose 0 = -0*v - 5*v + 195. Let a = -17 + v. Calculate the least common multiple of a and 14.
154
Suppose -f = 3*o + 16, 4*f - 4*o + 28 = -4. Find the common denominator of 75/4 and 15/f - (-65)/(-4).
4
Let h = 6 - 7. Let z be 11 + (-1 + 0 - h). Find the common denominator of (4/z - 0) + -2 and -13/11.
11
Let p = 14445/5512 + 3/689