
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 following expressions: $4xy,\frac{{m}^{2}n}{2},{y}^{2}+y+\frac{2}{y},2{x}^{3}-3,0,-\frac{3}{ab}+a,m,\frac{m-n}{m+n},\frac{x-1}{2},\frac{3}{x}$, where the monomials are______; polynomials are______; and polynomials are______.

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