
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
At a tournament, schoolchildren from different cities arrived. One of the organizers noted that they could make 19 teams of 6 people each, and less than a quarter of the teams would have a substitute player. Another organizer suggested making 22 teams of either 5 or 6 players each, and then more than a third of the teams would consist of six players. How many schoolchildren arrived at the tournament?

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