
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
There are 920 students in a school, with no more than $k$ students in each class. All students need to go on a bus excursion. For this, 16 buses with 71 seats each have been booked. The students need to be seated in such a way that all students from each class are in the same bus. What is the greatest possible value of $k$ that ensures this can be done?

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