
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
Thirty students from five different courses participated in creating 40 problems. Any two students from the same course produced the same number of problems, while any two students from different courses produced a different number of problems. How many people created one problem?

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