1)I insist on the machine being repaired
2)I did not mind his smoking
3)He greatly regretted his having been so rude
4)On entering the room he switched on the light
5)He did his best to conceal his having been put into prison (скрыть судимость, т е он был в тюрьме до того, как пытался этот факт скрыть
)
6)Bruno having been burnt alive is well-known fact (OR being burnt)
7) Breaking the promise is the worst thing that can be done here
8)Newton discovering laws of motion made a great contribution into physics.
9)His being treated like that is very unkind (OR having been treated) (это с ним плохо обращались, а не он плохой) is т к это тогда было плохо, и сейчас плохо
10)He knows of Ivanov having been appointed director (OR being appointed)
We were delayed Athens at airport.