
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
If the monomials $3x^{2}y^{5}$ and $-2x^{1-a}y^{3b-1}$ are like terms, find the value of the algebraic expression: $5ab^{2}-[6a^{2}b-3(ab^{2}+2a^{2}b)]$.

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