
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 coefficient of $x^3$ in the polynomial expression $3(2x^3 - x) - 5(x^3 - x^2 + x^6) + 4(x^2 - 3x^3)$.

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