
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
The arithmetic sequence 5, 8, 11, ... and the arithmetic sequence 3, 8, 13, ... both have 100 terms. How many terms do these two sequences have in common?

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