
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
Jancsi usually waits for Juliska at the metro station in the afternoons. Once, he waited for 12 minutes, during which 5 trains arrived at the station. On another occasion, he waited for 20 minutes, and Juliska arrived on the seventh train. Yesterday, Jancsi waited for 30 minutes. How many trains could have arrived in the meantime, given that the time between the arrival of two trains is always the same?

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