
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
The USAMO is a  $6$  question test. For each question, you submit a positive integer number  $p$  of pages on which your solution is written. On the  $i$ th page of this question, you write the fraction  $i/p$  to denote that this is the  $i$ th page out of  $p$  for this question. When you turned in your submissions for the  $2017$  USAMO, the bored proctor computed the sum of the fractions for all of the pages which you turned in. Surprisingly, this number turned out to be  $2017$ . How many pages did you turn in?

*Proposed by Tristan Shin*

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