
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 that Hui began a new book and, on the first day, she read \( \frac{1}{6} \) of the pages plus 10 additional pages. On the second day, she read \( \frac{1}{5} \) of the remaining pages plus 12 pages. On the third reading day, she read \( \frac{1}{4} \) of what was left plus 14 more pages, and exactly 52 pages remained, determine the total number of pages in the book.

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