
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
In a math competition, there are a total of 30 questions. It is stipulated that answering a question correctly earns 4 points, while not answering or answering incorrectly deducts 2 points. For example, if student A answers 25 questions correctly and 5 questions incorrectly, then student A will earn 90 points. If a participant needs to score at least 60 points to win a prize, then the participant should answer at least ____ questions correctly.

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