
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 competition where a student answered 15 questions correctly, 5 questions incorrectly, and did not attempt 10 questions, determine the total score based on a marking scheme that awards 1 point for each correct answer, but deducts 1/4 point for each wrong answer.

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