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Whether the government needs a search warrant before placing a GPS device on a car and tracking the car's movements for a month.

Whether Arizona's effort to enforce federal immigration law by creating its own rules for the interrogation, arrest and detention of undocumented persons is unconstitutional under the Supremacy Clause.

Whether law enforcement officials can ever be sued for money damages when they have probable cause to arrest someone but choose to make the arrest based on the person’s constitutionally protected speech or views.

Whether the federal Fair Sentencing Act, which reduced the sentencing disparity between crack and powder cocaine from 100:1 to 18:1, applies to defendants who committed their offenses before the Act was passed but were sentenced after the Act's passage.

Whether housing policies that have a disproportionate impact on racial minorities and women violate the anti-discrimination provision of the federal Fair Housing Act.