
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
Let \( Q(z) \) and \( R(z) \) be the unique polynomials such that
\[
z^{2023}+1 = (z^2+z+1)Q(z) + R(z)
\]
and the degree of \( R \) is less than 2. What is \( R(z) \)?
- A) \( z + 2 \)
- B) \( 1 \)
- C) \( 2z + 1 \)
- D) \( z + 1 \)
- E) \( -z \)

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