
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
When dividing the polynomial \(x^{1951} - 1\) by \(x^4 + x^3 + 2x^2 + x + 1\), the quotient and remainder are obtained. Find the coefficient of \(x^{14}\) in the quotient.

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