
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 mathematics olympiad consisting of two rounds, a total of 14 problems need to be solved. For each correctly solved problem, a contestant receives 7 points, while for each incorrectly solved problem, 12 points are deducted. How many problems did the student solve correctly if they scored 60 points?

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