
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 \( f(z) \) and \( g(z) \) are polynomials in \( z \), and the degree of \( g(z) \) is less than or equal to the degree of \( f(z) \). If the degree of \( f(z) \) is three, and the degree of \( g(z) \) is two, what is the degree of \( f(z)+g(z) \)?

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