
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 algebraic expressions: ①$-\frac{1}{2}mn$, ②$m$, ③$\frac{1}{2}$, ④$\frac{b}{a}$, ⑤$2m+1$, ⑥$\frac{x-y}{5}$, ⑦$\frac{2x+y}{x-y}$, ⑧$x^{2}+2x+\frac{3}{2}$. The total number of monomials is ______.

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