
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 teacher proposes 80 problems to a student, informing him that he will be awarded five points for each problem solved correctly and three points will be deducted for each problem not solved or solved incorrectly. In the end, the student has eight points. How many problems did he solve correctly?

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