
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
Given a mathematics contest with 12 problems, a student gains 6 points for a correct answer, loses 3 points for an incorrect answer, and receives no points for unanswered problems. If Julia answered every problem and her score was 27, determine the number of problems she answered correctly.

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