
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 on days of the month that are multiples of 3 (such as June 3, June 6...). A shoe store has a sale every 7 days, starting from June 1. How many times in the months of June, July, and August do the two stores have sales on the same date?

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