 Calculate the least common multiple of z/(-1) - (5 - 2) and n(4).
24
What is the common denominator of (-4)/2 + (-75)/108 and (59 + 0)/(3 - (-171)/9)?
396
Suppose 2*g - 7*g + 75 = 0. Calculate the least common multiple of (20/g)/(20/165) and 9.
99
What is the common denominator of -77/108 and -6 + 6/((-180)/(-155))?
108
Let i be 2/(10/(-5)) + 42. Let z = -30 + i. What is the smallest common multiple of 3 and z?
33
Suppose 34 = 6*m - 62. Let l = 14 - -3. Let u = l - -3. Calculate the least common multiple of m and u.
80
Let n(c) = -c**3 + 15*c**2 - 7*c + 48. What is the smallest common multiple of n(6) and 210?
2310
Let c be -1951*6/(-8) - 2. Suppose 0 = 3*y + 2218 - 6565. Let m = y - c. Find the common denominator of -31/6 and m.
12
Suppose -4*f + 48 = o, 16 + 8 = 2*f - 5*o. Calculate the smallest common multiple of 66 and f.
132
Suppose -6*g + 4*n = -g - 33, 2*g - 3*n - 9 = 0. Let v be (-59065)/266400 + 2/g. Let s = v + 91733/53280. Calculate the common denominator of 85/18 and s.
18
Suppose -3*x = 3*r - 5*r + 26, x + 2*r = -6. Let m = -296/33 + 239/99. Calculate the common denominator of 1/(x/118) + 1 and m.
36
Let c be 4/1020*13810/(-8). Let t be -1 - ((-4585)/170)/7. Let d = c + t. Find the common denominator of d and 91/18.
36
Let n(q) = -7*q + 35. Let l be n(16). What is the lowest common multiple of 33 and 14/l - 68/(-11)?
66
Find the common denominator of 43/11 and (-5480)/10560 + ((-3)/9 - 0).
88
Calculate the common denominator of -131/48 and ((-54)/(-400))/(192/(-1760)).
240
Let w(z) = -18*z**3 + z**2 - 7*z - 5. Let p be w(-3). Let b(u) = -u**2 + 3*u + 4. What is the least common multiple of (-3)/12 + p/28 and b(3)?
36
Suppose 3*a - 2*p - 36 = 22, -3*a - 4*p + 28 = 0. Calculate the least common multiple of 36 and a.
144
Let i = 11361/2635 - 366/85. Let a = 10603/11067 - i. What is the common denominator of -41/9 and a?
63
Let u = 163045/2128 - 1460/19. Find the common denominator of -67/18 and u.
1008
Suppose -9*u = -7*u - 18. What is the common denominator of 59/3 and (-35)/(-8) + u/3?
24
Let r = -176 + 621/4. What is the common denominator of 35/3 and r?
12
Let j(u) = u**3 + 8*u**2 - 20*u + 16. What is the least common multiple of 18 and j(-8)?
1584
Let w = 129047/31682 - 4/2263. What is the common denominator of w and (-130)/(-14)*(-77)/(-44)?
28
Suppose -21 = l + 5*n, -2*l + 16 = -6*l - 3*n. Let k = 8 + -5. Calculate the smallest common multiple of k and l/(-3) + (-2)/(-3).
3
Suppose -45*c - 8 = -46*c. Let v(r) = -5*r - 100. Calculate the lowest common multiple of c and v(-22).
40
Calculate the common denominator of 68/21 and (-94)/3*225/1050.
21
Let o = -2442 + 41476/17. Let k = -607/51 - o. What is the common denominator of k and 2/(-8) - (-310)/(-8)?
3
Suppose 0 = r - 6 + 15. Suppose 45 = 3*f + 2*f. Calculate the smallest common multiple of 4*(-1 + -4*r/12) and f.
72
Calculate the common denominator of -61/230 and (-123)/(-1035)*125/50.
690
Let y(s) = 34*s + 26. Let k be y(18). Let q = 4430/7 - k. What is the common denominator of q and -20/9?
63
Let a = -30/223 - -26391/2230. Calculate the common denominator of (2/6)/((-4)/(-93)) and a.
20
Calculate the common denominator of 0 and 35/98*(-182)/(-68).
68
Let h = 59 - 57. Suppose 0 = -h*w + 11*w - 972. What is the smallest common multiple of w and 10?
540
Suppose 5*j - 36 = -5*q + 3*q, -2*j + 20 = -2*q. Let g = 7 + 14. What is the least common multiple of j and g?
168
Let g = 74 + -1279/18. Let t = -28440173/14 + 2032865. Let f = 5685/4 - t. What is the common denominator of f and g?
252
Let u = -421 + 221. Calculate the least common multiple of 30 and (-25)/u - (-263)/8.
330
Let s = 6 + 2. Let x(i) = -i**3 + 9*i**2 - 9*i + 5. Let c be x(s). Calculate the lowest common multiple of (1/3)/(c/(-18)) and 18.
18
Let q = 4932 + -49321/10. What is the common denominator of q and (13/10)/((-88)/30)?
440
Let d(x) = -47*x - 23. Let k be d(9). Find the common denominator of 1/(480/k) + (-2)/15 and 93/20.
80
Let i(v) be the first derivative of -v**3/3 - 7*v**2/2 - v + 12. Calculate the least common multiple of i(-4) and 8.
88
Let o(n) = -n**2 + 7*n + 6. Let b be o(6). Find the common denominator of (-139)/b*16/8 and -6*(-150)/168 - 3.
42
Suppose -o - w - 144 = 3*o, -o + 5*w = 36. What is the common denominator of 38/11 and ((-18)/120)/(2/o)?
110
Find the common denominator of (11/((-660)/(-126)))/(-12) and (-4)/42*327/4.
280
Let s be (-122)/14 - 6/21. Let w be 7 + s - 5*-1. Suppose -y + 4 = 4*q, 3*q + 3*y = -y + w. What is the smallest common multiple of 5 and q?
5
Let o = -1/804 - -23719/804. Calculate the common denominator of o and 2/(-110)*2440/16.
22
Let r(p) = 21*p + 3. Let n be r(-3). Let a be (-12)/30 - 1159/n. Let g = 97/4 - a. Find the common denominator of -21/8 and g.
24
Let y = 14 - -32. Suppose -9*r + 35 + y = 0. What is the least common multiple of r and 9?
9
Suppose 79*y + 5400 = 133*y. Calculate the smallest common multiple of y and 28.
700
Let o = 233025/22 + -10597. Calculate the common denominator of o and ((-28)/(-196))/((-10)/(-623)).
110
Suppose -h - 221 = -t, 6*t - 442 = 4*t + 3*h. Calculate the smallest common multiple of 3 and t.
663
Let v = 1069630548/12833 - 83350. Let s = 1167783/128330 - v. Calculate the common denominator of s and (-6)/(-32) + 2/4.
80
Let b = -22 - -61. Suppose -31*t + 308 = -79 - 78. What is the lowest common multiple of t and b?
195
What is the common denominator of -61/48 and (107/(-9))/(72/27)?
48
Calculate the common denominator of (116/80 + -1)*245/(-14) and -133/18.
72
Calculate the smallest common multiple of ((-33)/2)/(12/(-32)) and 7/((-441)/28) - (-154)/63.
44
Let u = -9 + 12. Suppose 95 = -u*s + 3*a - 34, 0 = -a - 1. What is the common denominator of -57/8 and ((-28)/2)/((-64)/s)?
8
Let m = 9 + -18. Let h(b) = b + 12. Suppose -2*u + 5 = -u. What is the lowest common multiple of h(m) and u?
15
What is the common denominator of ((-126)/(-112))/(-2 + (-42)/(-15)) and 83/40?
160
Calculate the common denominator of -167/42 and (2/(-84)*87)/(6/(-4)).
42
Let f = 13533 - 162307/12. What is the common denominator of f and 69/(-161) - (-373)/(-126)?
36
Let r(y) = -y + 396. Let b be r(0). Let g = -1617/4 + b. What is the common denominator of g and 15/22?
44
Let l = -1141 - -3352/3. Find the common denominator of l and -131/48.
48
Calculate the smallest common multiple of 24 and (-3280)/(-6) - (6 + (-80)/15).
2184
Let t = 30347921 - 254194225027/8376. Let b = t - 1/1047. Calculate the common denominator of b and 105/22.
88
Find the common denominator of 230/322*(-124)/30 and 40/17.
357
Let b(c) = 2*c**3 - 5*c**2 - 5*c - 2. Let y be b(5). Let q = y - 96. What is the least common multiple of 23 and q?
46
Suppose n - 6*n + 5 = 0. Let h = 0 + -2. Calculate the least common multiple of h/(-5) - 78/(-30) and n.
3
Let n(m) = m**3 + 5*m**2 - 3*m - 1. Let g be n(-5). Suppose -5*u + g = -4*u. Calculate the lowest common multiple of 2 and (-4)/u - (-185)/35.
10
Let w be (1 - 56487/8)/(-1). Suppose -5*m = 2*f + 35356, 5*m - 2*f = -f - 35347. Let l = w + m. What is the common denominator of l and -57/14?
56
Let d = -64 + 152. Let y = -54 + d. Let u = -56/11 + 52/11. Find the common denominator of y and u.
11
Let z(y) = -y**2 + 25*y + 70. Calculate the smallest common multiple of z(19) and 138.
552
Let g(n) = -8*n - 34. Let j be g(-22). Let f = 2441/17 - j. Find the common denominator of -56/9 and f.
153
Suppose -1 = o + 5. What is the lowest common multiple of 2 and (-21)/(4 + 27/o)?
42
What is the least common multiple of 15 and 4/(8/6*3/6)?
30
Suppose 4*p - 4*g - 64 = 0, p - 4*g + 13 = 4*p. Calculate the common denominator of 11/2 and (65/90)/((-1)/p).
18
Suppose -15*b + 14*b = -2. Suppose -b*q + i - 11 = 34, -2*i = -5*q - 110. Find the common denominator of -23*(-3 - 62/q) and 79/2.
10
Let u be -20 + (-1)/((-1)/(-3)). Let o = u - -53. Suppose j - o = -5*a, 0 = 3*j - 7*j. What is the lowest common multiple of a and 10?
30
Let x = -34979/31020 + 1/2820. Find the common denominator of 31/55 and x.
55
Let m = 227 - 87. Find the common denominator of -39/4 and (-222)/m - (-1 + 12/10).
28
Let a = -1814 + 1940. What is the least common multiple of a and 84?
252
Let k(c) = -10*c**2 + c. Let m be k(1). Calculate the common denominator of -13/12 and m - 