
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
Alice scores $87$ on this year's mathematics competition. Under a previous scoring system, her score would have been $75$. Determine how many questions Alice did not attempt. In the version of the scoring system used this year, correct answers yield $4$ points, incorrect answers yield $0$, and unanswered questions give $1$ point each. In the older scoring system, she started with $20$ points, gained $3$ points for each correct response, lost $1$ point for every incorrect answer, and neither gained nor lost points for unanswered questions.
**A)** 2  
**B)** 5  
**C)** 8  
**D)** 11  
**E)** 14

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