
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
Simplify 
\[
\frac{3bx(a^3x^3 + 3a^2y^2 + 2b^2y^2) + 2ay(2a^2x^2 + 3b^2x^2 + b^3y^3)}{3bx + 2ay}
\]
**A)** \(a^3x^3 + 3a^2xy + 2b^2y^2\)
**B)** \(a^3x^3 + 2a^2xy + 3b^2y^2\)
**C)** \((3bx + 2ay)^3\)
**D)** \(a^3x^3 + 3a^2y^2 + 2b^3y^3\)
**E)** \((3bx + 2ay)(a^3x^3 + 3a^2xy + 2b^2y^2)\)

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