
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
Suppose a clothing store in City A has a sale every day of the month that’s a multiple of 3 (like June 3, June 6,...), and a toy store has a sale every 7 days. The toy store’s first sale in August is on August 5. Determine how many times in August the two stores have sales on the same date.

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