
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
Carl must purchase 20 identical notebooks and has $\$200$. There is a flat $\$5$ entrance fee at the store where he intends to buy the notebooks. Assuming a $3\%$ sales tax is added to each notebook's price, what is the greatest possible price of a notebook (in whole dollars) that would allow Carl to buy the notebooks?

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