
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 degree of the polynomial when $\left(x^5\right)$, $\left(x + \frac{1}{x}\right)$, and $\left(1 + \frac{3}{x} + \frac{4}{x^2} + \frac{5}{x^3}\right)$ are multiplied together.

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