
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 divisible by 7 (like June 7, June 14, etc.). A coffee shop announces sales every 5 days, starting from July 1. Determine how many times in July do both the bookstore and the coffee shop have sales on the same day.

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