
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) \( z - 1 \)
B) \( 2z + 1 \)
C) \( z + 1 \)
D) \( -z \)
E) \( 1 \)

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