
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
The remainder when  $x^{100} -x^{99} +... -x +1$  is divided by  $x^2 -1$  can be written in the form  $ax +b$ . Find  $2a +b$ .

*Proposed by Calvin Garces*

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