
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
Given Hui reads $1/6$ of the book plus $10$ pages on the first day, $1/5$ of the remaining pages plus $20$ pages on the second day, and $1/4$ of what's left plus $25$ pages on the third day, such that there are $100$ pages left, determine the total number of pages in the book.

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