
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
Suppose $f(z)$ is a cubic polynomial and $g(z)$ is a quadratic polynomial in $z$. If $f(z) = a_3z^3 + a_2z^2 + a_1z + a_0$ with $a_3 \neq 0$, and $g(z) = b_2z^2 + b_1z + b_0$, what is the degree of $f(z) + g(z)$?

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