
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
A bookstore has a sale every 7 days starting from the first day of the month. A clothing store has a sale every 5 days, with the first sale of the month on July 4. Determine the number of days in the month of July that both stores have sales on the same date.

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