
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
Define $x \oplus y = xy - 2y^2$ and $x \odot y = \sqrt{x} + y - xy^2$. If $x = 9$ and $y = 3$, what is the value of $\frac{9 \oplus 3}{9 \odot 3}$?
A) $-\frac{1}{2}$
B) $-\frac{3}{25}$
C) $\frac{1}{8}$
D) $\frac{3}{25}$
E) $-\frac{1}{4}$

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