
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 absolute values of the coefficients equals 5 and the polynomial's degree, $n$, does not exceed 3.
A) 15
B) 24
C) 32
D) 40

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