j + t. Find the common denominator of u and -35/2.
2
Suppose 5*h - 65 = -15. Let g(c) = c**2 - c + 14. Calculate the smallest common multiple of h and g(0).
70
Suppose 0 = -5*t - 10, 5*p - 3*t - 29 = -6*t. What is the lowest common multiple of 6 and p?
42
Let b = -62339 + 24873245/399. Let z be ((-2739)/(-47880))/(-11)*998. Let l = b - z. What is the common denominator of 37/12 and l?
60
Let n = 611/21 - 10981/420. Find the common denominator of 63/20 and n.
20
Suppose 4*g + 5*y - 55 = 0, -5*g - 3*y = -2*g - 42. Let n = 102269/112 + -6436/7. What is the common denominator of n and (-2)/(8*g/(-42))?
80
Let l = -6 + 6. What is the common denominator of 56/(-128) + 2 + l and 43/10?
80
Suppose 8 = 4*k - 3*k. Calculate the smallest common multiple of -2*1 + 23 + 1 and k.
88
Let p(b) be the first derivative of -b**3/3 - 5*b**2/2 - 1. Suppose -3*t + 7*t = -16. What is the least common multiple of 3 and p(t)?
12
Let q(l) = l**3 + 2*l**2 + 3*l - 2. Calculate the lowest common multiple of 22 and q(2).
220
Suppose -5*z + 3*z = -12. Calculate the least common multiple of z and 2.
6
Let a = 6568 + -65771/10. Find the common denominator of a and -3/11.
110
Let i = -1301/7 - -185. Find the common denominator of -53/7 and i.
7
Let a = 93 - 51. Suppose -5*b + 58 + a = -5*v, 2*b - v = 42. Let o = 9 - 5. Calculate the lowest common multiple of b and o.
44
Let a = -27/4 + 113/12. What is the common denominator of a and 50/11?
33
Let i = -61437/8 - -7690. What is the common denominator of i and -27/40?
40
Let q be (-1)/(-2) - (-11)/2. Let m = 0 + q. Let h(a) = -6*a - 2. Find the common denominator of -17/4 and h(m).
4
Suppose -3*l - 2*l + 20 = 0, -4*k - 5836 = 4*l. Let j be 4/(-2) - 8648/6. Let y = k - j. Find the common denominator of -65/6 and y.
6
Suppose -5*k = -k - 24. Calculate the lowest common multiple of 20 and k.
60
What is the smallest common multiple of 28 and 0*(1 - 0) - -20?
140
What is the least common multiple of 6 and (-504)/(-98) + (-2)/14?
30
Let q = 2463 + -3702. Let p = q + 12379/10. What is the common denominator of p and -3/11?
110
Suppose 9 = -2*p - n, -15 = 2*p + 3*n - 4*n. What is the common denominator of -19/20 and (-267)/p*(-2)/6?
60
Calculate the common denominator of -37/3 and (-6 + 20)*7/(-46).
69
Find the common denominator of 385/90 + 2/9 and -45/14.
14
Let p = 11 + -18. Find the common denominator of ((-2)/p)/((-8)/(-78)) and -79/18.
126
Let c(y) = -3*y + 2. What is the least common multiple of c(-4) and 12?
84
Let i(g) = -g**3 + 3*g + 20. Calculate the least common multiple of (-6)/9*-3*10 and i(0).
20
Calculate the common denominator of 3/32*(-950)/15 and 1*2 + (-255)/(-70).
112
Let l = 11054/1353 - 3/902. Let h = -814 + 396. Let w = -2363/6 - h. Calculate the common denominator of l and w.
6
Suppose 5*n = d + 23, -4*n + d - 5*d = -4. Suppose -5*c + 2*y = 3*y - 37, -n*c = 4*y - 20. What is the least common multiple of 3 and c?
24
Let r = 23 + -13. What is the least common multiple of 4 and r?
20
Suppose 5*t + 5*x - 12 = 43, -43 = -4*t - 3*x. Let b = t - 8. Calculate the smallest common multiple of b and (-4)/16 - 73/(-4).
18
Calculate the common denominator of (1/(-24))/(17/(-3247)) + -2 and 73/16.
48
Let u(n) = n**2 - 5*n + 4. Let q be u(4). Suppose -m - m - 18 = q. Let g = m - -18. What is the least common multiple of 3 and g?
9
Let b(z) = -2*z**2 + 5*z. Calculate the common denominator of b(5) and (2 - (-33)/(-12)) + 520/112.
28
Suppose 0*s + 5*s = -2010. Find the common denominator of -41/13 and s/(-40)*(-6)/(-9).
130
What is the common denominator of -9 + 12 - 113/6 and 31/18?
18
Let p = -28 + 80. Suppose l = -3*l - 16, 5*l + p = 2*u. What is the least common multiple of u and 4?
16
Calculate the lowest common multiple of 18 and (12/15)/((-3)/(-120)).
288
Suppose -y = -5*y - 188. What is the common denominator of 47/6 and y?
6
Let s = -142 - -10. Let y = -48857/7310 + -12/731. What is the common denominator of (-2)/(-6) + 74/s and y?
110
Calculate the common denominator of 54/7 and 9/(-24)*(-1744)/36.
42
Let m = 22 + -13. Calculate the lowest common multiple of m and 3.
9
Suppose 6*l = -22 + 142. Calculate the least common multiple of 12 and l.
60
What is the common denominator of 65/27 and ((-12)/21)/(10*45/(-280))?
135
Let w be (18/4)/(5/(-10)). Let z be (-3)/(1/(6/w)). Calculate the common denominator of z - 118/44 - -2 and 127/18.
198
Suppose 4*g + 4*c - 12 = 0, -5 = -5*g - 4*c + 10. Suppose 0 = g*m - 8*m - 5*k, 0 = 3*m + k - 4. Let l = 16 - 5. Calculate the least common multiple of m and l.
22
Let t = 21 + -14. Suppose -3*n + t + 2 = 0. Suppose -2*q - 3 = -n*q. What is the least common multiple of 1 and q?
3
Suppose 3*f + 5*r = 19 + 6, 5*f - 54 = 4*r. Calculate the lowest common multiple of 6 and f.
30
Let y = 7 + -13. Let f = -3 - y. Let a(g) = g**2 + 3*g + 2. What is the smallest common multiple of a(f) and 4?
20
What is the common denominator of ((-1)/(-9))/(16/166) and -71/20?
360
Let y be (-1 + 3)/((-2)/21). Let t = y + 32. Calculate the smallest common multiple of 1 and t.
11
Suppose -144 = 3*p - 6*p. What is the common denominator of p and (-2)/(-4)*74/(-8)?
8
Suppose f + 5*a = 33, -4*f - 3*a + 2*a = -56. Suppose -2*y + f = -3*h, 0*y - 4*y = 3*h - 17. Let l = 9 - 3. What is the least common multiple of l and y?
30
Suppose 3*x = -m - 10, -m = -4*m - 2*x - 2. What is the least common multiple of m and 3/5 - (-17)/5?
4
Let q(a) = -3*a - 4. Let g be q(-2). Let s(f) = f**3 - 2*f**2 + 2*f - 1. Calculate the common denominator of s(g) and 29/6.
6
Suppose 0 = -3*j + 3*m + 3, 2*j + 2*m - 2 + 0 = 0. What is the least common multiple of 4 and j?
4
Let l(g) = g + 4*g + 0*g - 7*g. Calculate the lowest common multiple of l(-3) and 5.
30
Let w = 49 + -46. Calculate the least common multiple of 21 and w.
21
Let m(y) = y**2 - 22*y - 42. Calculate the least common multiple of m(24) and 1.
6
Let a = -19 + 35. Let n(r) = -3*r + 2. What is the smallest common multiple of a and n(-2)?
16
Calculate the common denominator of 78/45 + 4/(-10) and 67/8.
24
Let o = 12807/5 + -2572. Calculate the common denominator of o and -35/2.
10
Find the common denominator of ((-60)/385)/((-6)/63) and 37/22.
22
What is the least common multiple of (-10 - -1)/((-30)/40) and 16?
48
Let c(i) = -2*i**2 + 5*i + 4. Let g be c(4). Find the common denominator of -49/6 and 434/48 - g/24.
24
Let v(l) = l - 1. Let j(t) = t**3 - 6*t**2 + 9*t - 9. Let c(u) = j(u) - 2*v(u). Let r = -5 - -10. What is the lowest common multiple of r and c(5)?
15
Let x = 14 - -6. Suppose i - 6*k + 12 = -k, 3*i - k = x. What is the smallest common multiple of 18 and i?
72
Let y = -38727/22 + 1763. Calculate the common denominator of y and -67/14.
154
Let l(c) = c**3 + 9*c**2 + 7*c. Let j be l(-8). Let x = j + 1. Let b = 2 - -2. Calculate the least common multiple of b and x.
36
Find the common denominator of (24/(-140))/3*10 and 27/7.
7
Let n(y) = -y + 30. Let k(d) = -4*d + 119. Let f(j) = -2*k(j) + 9*n(j). What is the common denominator of -1*62*(-2)/12 and f(0)?
3
Let s(a) = a**2 + 9*a. Let j be s(-9). Suppose -4*l + 4 = l + 2*w, 3*l + 3*w + 3 = j. What is the smallest common multiple of 18 and l?
18
Suppose -2*y + 13 = 5. Suppose 3*f + y*x - 46 = -8, 5*f - 44 = 3*x. What is the smallest common multiple of f and 18?
90
Let x(d) = d**3 + 5*d**2 - 4*d - 6. Let q be x(-6). Find the common denominator of 83/14 and 498/30*(-5)/q.
126
Suppose -2*l = 4*p - 349390, 0 = -0*p + 3*p - l - 262055. Let m be p/112 + (-6)/21. Let h = 783 - m. What is the common denominator of 22/5 and h?
40
Suppose -7*z + 4*z + 18 = 0. Calculate the lowest common multiple of 3 and z.
6
Let w = -1848789/130 - -117574/13. Let c = w - -5187. What is the common denominator of -41/10 and c?
10
Let r = 1/931 + 35375/2793. Find the common denominator of r and 3/(-2)*(-107)/9.
6
Let p = 61 - 49. Calculate the smallest common multiple of p and 18.
36
Suppose b - 324 = 2*b. Find the common denominator of -36/11 and b/(-18)*(-18)/(-56).
154
Let i be (-4 + 5)/(1/(-43)). Let p = i + 61. Calculate the least common multiple of 22 and p.
198
Suppose -n + 48 = -5*n + q, 0 = -n - 5*q - 33. Let u = 24 + n. Calculate the least common multiple of 9 and u.
99
Find the common denominator of 39/7 and ((-3 - -6)/66)/((-3)/42).
77
Let 