
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
Determine the number of polynomials of the form $a_0 + a_1x + \cdots + a_nx^n$ where the sum of the absolute values of the coefficients plus twice the degree of the polynomial equals 5.
A) 8
B) 9
C) 10
D) 11

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