
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, each correct answer for a mandatory question earns 3 points, and each incorrect answer deducts 2 points; each correct answer for an optional question earns 5 points, and each incorrect answer earns 0 points. Xiaoming answered all the questions and got 15 correct answers in total, with a score of 49 points. How many mandatory questions were there in this math competition?

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