
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
One participant in the game was given 30 questions. For each correct answer, they were awarded 7 points, and for each wrong answer (or no answer), 12 points were deducted. How many correct answers did the game participant give if they scored 77 points?

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