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HMMT 1999 A7

  • Algebra
  • Answer

Matt has somewhere between 1000 and 2000 pieces of paper he's trying to divide into piles of the same size (but not all in one pile or piles of one sheet each). He tries 2,3,4,5,6,72,3,4,5,6,7, and 8 piles but ends up with one sheet left over each time. How many piles does he need?

Dataset text NuminaMath olympiads. Quoted with source.

Also HMMT 1999 V6.

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