
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 student over 5 years of study passed 31 exams. Each subsequent year, he took more exams than in the previous year. In the fifth year, the number of exams was three times higher than in the first year. How many exams did he have in the fourth year?

Could the student have had only one exam in his first year? Check and conclude. Could he have had two exams initially? Check and conclude. What about three exams? Perform calculations and conclude. Could the student have had 4, 5, or more exams in the first year? Why?

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