
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 school needs to arrange transportation for a trip involving 500 students. The school has access to buses that can hold up to 45 students each and vans that can hold up to 12 students each. If 56 students insist on traveling by van, how many buses will be needed to transport the remaining students?

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