 6 - -2. Let a be g(i). What is the least common multiple of 6 and 4/6*(7 + a)?
12
Suppose -5*w = -5*f + 7 + 18, 4*w + 16 = 0. Find the common denominator of -107/6 and f/6*(-258)/4.
12
Suppose -3*f = -2 + 113. Let o = f + 295/8. Calculate the common denominator of o and 13/5.
40
Let s(d) = -5*d - 15. Calculate the lowest common multiple of 22 and s(-5).
110
Suppose k = -3*k + 20. Suppose -5*y + 2*t = -34, 3*t = -k*y - 0*t + 24. Suppose 0 = -5*d + 2*d + 6. What is the least common multiple of d and y?
6
Let k = 1 + 1. Let d be k/(6/(-9))*-529. Let s = d - 3253/2. Calculate the common denominator of 71/10 and s.
10
Let c = -16 - -14. What is the common denominator of 93/14 and 0/c - 819/54?
42
Let q = 2529 + -40405/16. Let u be 45*2*(-4)/(-6). Find the common denominator of (27/u)/(2 - 1) and q.
80
Let f(g) = 15*g. Let q be f(5). Find the common denominator of (q/(-9))/((-12)/(-27)) and 63/2.
4
Let m be 14/56 + 95855/(-20524). Let l = m - 6/733. What is the common denominator of l and 7/2?
14
What is the common denominator of -53/17 and 5 - (-5 - 415/(-10))?
34
Let w be (-3 + 6 - 3)/1. Suppose -2*k + 7 + 9 = w. Calculate the lowest common multiple of k and 12.
24
Suppose -67 = -22*w + 109. Let l(n) = -n - 4. Let v be l(-6). Suppose v*h + 2 - 6 = 0. What is the smallest common multiple of h and w?
8
Let y = -4703026702/5112603 + 1/568067. Let q = y - -921. What is the common denominator of q and -79/8?
72
Let k(q) = -16*q**2 - 4*q. Let l be k(-7). What is the common denominator of 17/6 and l/(-7)*1/22?
66
Let l = -23525/1912 - 17/239. Let f = 443/70 + -13/14. Calculate the common denominator of f and l.
40
What is the common denominator of (-6034)/560 - (-4)/10 and 61/5?
40
Suppose -4*m + 9*m = 0. Suppose -3*v + 4 + 8 = m. Calculate the lowest common multiple of 5*1 + 2 + -1 and v.
12
Let p be 3/(-20)*1644366470/8. Let g = 30820333 + p. Let u = g - -11543. What is the common denominator of -109/6 and u?
48
Let s(u) be the third derivative of -u**5/30 + u**4/12 + u**3/6 + u**2. Let c be s(-1). What is the common denominator of -20/11 and (5/(-15))/((-7)/c)?
77
Let m(f) = -4*f + 2*f + 2 - f - 2*f. Let a be (-20)/(-8)*8/(-10). What is the smallest common multiple of 6 and m(a)?
12
Let d = -69 - -80. Calculate the smallest common multiple of 2 and d.
22
Suppose 2*t - 22 = 2*b, 4*b = 5*t - 0*b - 51. Let l(g) = -3*g - 3. Let v be l(4). Let c = v - -25. What is the least common multiple of t and c?
70
Suppose j - 3*j + 8 = 0. Suppose 4*p - 2*a = -68, -p - j*a - 19 = -5*a. What is the smallest common multiple of 10 and 6/p + (-7)/(-5)?
10
Let v = -3 - -2. Let j = 11 + v. Calculate the common denominator of -77/4 and (-4)/j - 277/(-30).
12
Find the common denominator of (-32 + (-2 - -5))/(3*-4) and 29/12.
12
Suppose -4*j + 34 = 18. What is the least common multiple of 22 and j?
44
Let i be 1 - 1/((-1)/(-3)). Let a(r) = 2*r**2 + 0*r**2 + 3 + r**3 - 1. Calculate the least common multiple of a(i) and 9.
18
Let f = 5 - -2. Calculate the least common multiple of 8/6 + 125/75 and f.
21
Find the common denominator of -139/6 and (8/(-12))/(0 + 96/477).
48
Suppose 5*g + 3*s - 30 = 0, 5*g - 30 = -0*g - 4*s. Suppose -2*h - h - 5*n = 140, -h = -n + 52. Calculate the common denominator of h and (15/72)/((-2)/g).
8
Let v = 2953/1860 + -15/124. Calculate the common denominator of v and 41/50.
150
Let k(j) = j**3 - 2*j**2 + 3*j + 2. Calculate the smallest common multiple of 44 and k(3).
220
Let a be (8/(-16))/((-1)/(-6)). What is the smallest common multiple of (18/8)/(a/(-16)) and 4?
12
Let z = 12 - 7. Suppose -2*i = -z*t + 25 - 7, 0 = -3*t + i + 11. What is the smallest common multiple of t and 4?
4
Suppose 2*y - 4*f - 34 = 0, f = 3*f - 6. Let x = y + -11. Let a = -1 + 7. What is the lowest common multiple of x and a?
12
Let t = -9645/32 - -1215/4. Let z = t + -1741/224. Find the common denominator of 1 + 17/(-24)*-3 and z.
56
Suppose k - h + 41 = 6*k, k + 4*h + 7 = 0. Calculate the smallest common multiple of k and 8.
72
Suppose 3*t = -1 + 28. What is the smallest common multiple of t and 2?
18
Let v be (2/(-6) - -1)*3. Suppose v*f = 4*g + 28, -4*f = -f - 3*g - 36. Let i(o) = 9*o - 2. Calculate the smallest common multiple of i(2) and f.
80
What is the common denominator of (-2)/((-24)/(-189))*30/(-385) and -133/12?
132
Let k = 15 + -22. Let y = 10 + k. Calculate the least common multiple of y and 30.
30
Suppose 3*l - 3 = 9. What is the lowest common multiple of l and 9?
36
Let i = -18 - -32. What is the least common multiple of 315/i + 2/(-4) and 10?
110
Let c be (10/(-4))/((-2)/8). Calculate the common denominator of (-417)/(-18) + (-2)/(-6) and c/15 - (-290)/(-84).
14
Calculate the smallest common multiple of 20 and (-31)/(-93) + (-29)/(-3).
20
Suppose -4*q = -3*p + 4, 0*q - 4*q - p = 20. Let d = q + 15. What is the lowest common multiple of d and 3?
33
Let h = -2250 + 15717/7. What is the common denominator of (-1)/(-4) + 1475/(-60) and h?
21
Let d(w) = w**3 + 4*w**2 + 2*w - 3. Let y be d(-3). What is the common denominator of -3 + (39/24 - y) and -11/4?
8
Let i be (3/6)/((-2)/(-12)). Suppose 4*k - 12 = 3*k - 3*w, 3*w = i*k - 24. What is the lowest common multiple of k and 10?
90
Let v(x) be the first derivative of 2*x**3/3 + 2*x**2 + 2*x - 2. Let p(y) = y**2 - 3*y + 4. What is the smallest common multiple of v(-3) and p(3)?
8
Let i(m) = m - m + 2*m - 6 - m. Calculate the smallest common multiple of 8 and i(7).
8
Let j = 665 + -294. What is the common denominator of (-2)/(-9)*j/(-14) and (1/20)/((-1)/98)?
90
Suppose 4*p + 34 = -j - j, p = 3*j + 44. Calculate the common denominator of j and 38/5.
5
Find the common denominator of (-260)/72 + -1 + 5 and 85/14.
126
Calculate the common denominator of (-36)/38 - 3 - -4 and 85/4.
76
Let y = -769/24 - -86/3. Find the common denominator of (21/64)/(9/108) and y.
16
Suppose 2*k + 32 = 6*k. Calculate the least common multiple of (-1 + 0)/((-2)/k) and 20.
20
Let l = 34 - 26. Calculate the smallest common multiple of l and 11.
88
Let n be 1624/(-6) + (-8)/(-12). Calculate the common denominator of 6/(-3) + n/(-44) and -111/10.
110
Let s(c) = -c**2 - 9*c - 6. What is the least common multiple of 11 and s(-8)?
22
Find the common denominator of 99/2 and (126/(-88))/3 - (-84)/112.
22
Suppose 0 = -3*r + 2*t + 100, 124 = 3*r + 5*t - t. What is the smallest common multiple of r and 20?
180
Let b(j) = -j**3 - 5*j**2 - 4*j + 5. Suppose 3*c - 14 = 5*x, -2*c - x = -2 + 10. Let a = c + -2. What is the smallest common multiple of b(a) and 2?
10
Suppose -3*q + 66 = -q. Find the common denominator of q and 17/3.
3
Suppose 0*l = 2*l. Find the common denominator of l + ((-16)/44 - -2) and 67/6.
66
Calculate the least common multiple of 7 and 4 - (-6 - (-5 + 3)).
56
Let y = 3346/9 - 34477/90. What is the common denominator of y and 57/(-6)*2/(-8)?
40
Let i(z) = -z**2 + z + 1. Let a be i(2). What is the smallest common multiple of 3 + a + 4 - -1 and 7?
7
Let x = -530 + 4321/8. Let s = -1224/25 - -17263/300. Calculate the common denominator of s and x.
24
Let j = -73 - -89. Calculate the least common multiple of j and 158.
1264
What is the common denominator of (-16)/4 + 0 - 23/(-30) and 143/6?
30
Suppose 0 = -4*g - 11 + 55. What is the smallest common multiple of 6 and g?
66
Let b = 551 - 4447/8. Let c be 3/6 - (-218)/21. Let d = c + -8/21. What is the common denominator of b and d?
8
Let l = 703 - 1342. Let w = 5035/8 + l. Calculate the common denominator of w and 73/12.
24
Suppose 5*q + 2 = -2*z, -2*z = 2*z - 5*q + 4. Let y = 1989 + -7999/4. Find the common denominator of 2/(-9)*-12*z and y.
12
Let d be ((-2)/6)/((-1)/6). What is the least common multiple of (-15)/(-2) + 1/d and 1/((-3)/63*-3)?
56
Let o = -7 - -29. Let k = 118 + -70. Suppose 0 = -z - 2*z + k. What is the smallest common multiple of o and z?
176
Let x be 12/((-6)/(-56)*-2). Let m = x - -222. Find the common denominator of -23/18 and ((-2)/22)/((-4)/m).
198
Suppose -5*b = -3*b - 8. What is the common denominator of b - -32*3/(-27) and 16/5?
45
Suppose -5*r + 19 + 61 = 0. Calculate the smallest common multiple of r and 18.
144
Let y = -1 + 6. Suppose 2*f = -f + 54. Calculate the lowest common multiple of (-2)/(-5) - (-8)/y and f.
18
Suppose -8 = 5*a - 4*r, 4*a - r + 2 = a.