
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 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?

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