
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
Given that \((R x^{2} - x + 1)^{1999} \equiv a_{0} + a_{1} x + a_{2} x^{2} + \ldots + a_{3998} x^{3998}\). If \( S = a_{0} + a_{1} + a_{2} + \ldots + a_{3997} \), find the value of \( S \).

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