
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Matt has between 1000 and 2000 pieces of paper. He wants to divide them into piles of the same size, where the number of piles is not 1 or the total number of sheets. When trying to divide the papers into 2, 3, 4, 5, 6, 7, and 8 piles, he always ends up with one sheet left over. How many piles does he need?

Present the answer in LaTex format: \boxed{Your answer}
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