
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 $a_0x^n + a_1x^{n-1} + \cdots + a_{n-1}x + a_n$ where the sum of the degrees of the polynomial and the sum of the absolute values of all its coefficients equals 5.
A) 30
B) 20
C) 15
D) 25

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