The President's Mystery

In 1935, when his train is stopped by deep snow, detective Hercule Poirot is called on to solve a murder that occurred in his car the night before.

Jane Marple solves the mystery when a local woman is poisoned and a visiting movie star seems to have been the intended victim.

When Dr. Anthony Edwardes arrives at a Vermont mental hospital to replace the outgoing hospital director, Dr. Constance Peterson, a psychoanalyst, discovers Edwardes is actually an impostor. The man confesses that the real Dr. Edwardes is dead and fears he may have killed him, but cannot recall anything. Dr. Peterson, however is convinced his impostor is innocent of the man's murder, and joins him on a quest to unravel his amnesia through psychoanalysis.

A crooked politician finds himself being accused of murder by a gangster from whom he refused help during a re-election campaign.

In Acapulco, Hercule Poirot attends a dinner party in which one of the guests clutches his throat and suddenly dies. The causes seem to be natural until another party with most of the same guests produces another corpse.