
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
What is the coefficient of \( x^4 \) when $$x^5 - 2x^4 + 4x^3 - 5x^2 + 2x - 1$$ is multiplied by $$3x^4 - x^3 + 2x^2 + 6x - 5$$ and the like terms are combined?

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