Crossword Puzzle Movers' challenge

Clue: Movers' challenge

Challenge for movers (PIANO with 5 letters)
Challenges for movers (PIANOS with 6 letters)
Rank and file movers (ROOKS with 5 letters)
Challenger's org. (NASA with 4 letters)
Cursor movers (MICE with 4 letters)
Mathematical challenge (PROBLEM with 7 letters)
Do a scathing impersonation of the 39th president? (MINCECARTER with 11 letters)
Challenge for parents (LETTINGGO with 9 letters)
Tab challenger of 1982 (DIETCOCACOLA with 12 letters)
Not running away from a challenge (FACINGIT with 8 letters)