Curry drained five 3-pointers en route to 21 points and Cook added 18 with six assists as the Blue Devils (19-2, 6-2 ACC) went 11-of-18 from long range.
Rasheed Sulaimon scored 14 points and Amile Jefferson scored 11 for Duke, which posted a third straight victory.
Aaron Thomas led the Seminoles (12-9, 4-4) with 14 points.
Ray Liotta sues skin care company over use of likeness
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