
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 the fraction $\frac{\sqrt{b^2+y^3}-\frac{y^3-b^2}{\sqrt{b^2+y^3}}}{b^2+y^3}$ to its simplest form.
A) $\frac{2b^2}{b^2+y^3}$
B) $\frac{2y^3}{(b^2+y^3)^{\frac{3}{2}}}$
C) $\frac{2b^2}{(b^2+y^3)^{\frac{3}{2}}}$
D) $\frac{2y^3}{b^2+y^3}$
E) $0$

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