Use either Present Perfect or Present Perfect Continuous.
1) I can't open the door. It seems to me I (to lose) my key.
2) I wonder if anything (to happen) to Chris.
3) This woman (to live) next door for quite a long time.
4) Why ____ you ____ (not to bring) me the letters for signature?
5) ____ you ____ (to paint) the whole day.