
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
Many residents of a town gathered to spend a day in nature for a holiday. They hired all available vans, ensuring that each van carried the same number of people. Halfway through the journey, 10 vans broke down, so each of the remaining vans had to take one extra person. When it was time to return home, unfortunately, another 15 vans broke down. Therefore, each remaining van had to take three more people than they had in the morning.

How many people participated in this outing?

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