
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 pages of a book are numbered starting from 2 up to $n$. When the page numbers were summed up, one of the page numbers was mistakenly added three times, resulting in an incorrect total sum of 4090. Determine the number of the page that was added thrice.

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