
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
Leah must purchase 20 identical books and only has $250. There is a flat $5 entrance fee for shopping at the bookstore where she plans to buy the books. The price of each book is the same whole-dollar amount. Assuming a $7%$ sales tax is added to the price of each book, what is the greatest possible price (in dollars) of a book that would allow Leah to buy the books?

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