After its limited release in October 1995, Mira Sorvino received her Academy Award nomination. When it was released nationally in January of 1996 the television ads for the film was re-edited to make it seem that Sorvino's character was on the telephone thanking the Academy for the nomination.
The scene at the school where Lenny and Amanda consider sending their child was shot at the City & Country School in New York, a world-famous progressive K-8 school in the Greenwich Village section of Manhattan. During their visit, a school administrator mentions that the child's test scores are acceptable. In real life, however, the school does not use standardized-test scores when considering prospective students.
The Belmont Park race caller announces that the last-place Eager Beaver is fading when Eager Beaver was actually gaining ground, and finishes the race a length-and-a-half behind the horse in front of him.