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Omni-MATH / Matt has somewhere between 1000 and 2000 pieces of paper he's trying to divide…

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problem

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?
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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 2,3,4,5,6,7, and 8 piles but ends up with one sheet left over each time. How many piles does he need?
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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 $2,3,4,5,6,7$, and 8 piles but ends up with one sheet left over each time. How many piles does he need?

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