
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
Given the algebraic expression $3a^{2}+b$, $-2$, $\frac{3x{y}^{3}}{5}$, $\frac{{a}^{2}b}{3}+1$, $a^{2}-3b^{2}$, $2abc$, determine the number of monomials.

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