1.  People are soothed by ( you    your ) singing.

2.  We don't enjoy ( him   his ) constant sighing.

3.  ( Us   Our ) noticing the gun helped the police catch the thief.

4.  Mr. Smith met ( them    their ) coming around the corner.

5.  He is annoyed by ( them    their ) yelling.

6.  We watched ( him   his ) sneaking away.

7.  People admire ( him    his ) sewing ability.

8.  I like to see ( you    your ) playing the piano.

9.  Jack considered ( him   his ) losing to be the worst moment of his life.

10.  ( Me    My ) leaving the country upset the president.