(5/14 + 10/21) * 3 3/5 + 1 1/6 : (13/22 - 25/33)

First, let's simplify the fractions:
5/14 + 10/21 = 15/42 + 20/42 = 35/42

Now, we multiply it by 3 3/5:
35/42 * 18/5 = 630/210 = 3

Next, let's simplify the second fraction:
13/22 - 25/33 = 99/198 - 150/198 = -51/198

Now, divide 1 1/6 by -51/198:
7/6 / (-51/198) = 7/6 * (-198/51) = -138/51 = -2 36/51 = -2 12/17

Therefore, the final result is:
3 + (-2 12/17) = 3 - 2 - 12/17 = 1 5/17