
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 a new operation "$\otimes$": For any rational numbers $a$ and $b$, it is defined as $a\otimes b=ab^{2}+2ab+a$. For example, $1\otimes 3=1\times 3^{2}+2\times 1\times 3+1=16$. Find the value of $\left(-2\right)\otimes 4$; For any rational numbers $x$ and $y$, if $x\otimes 3=y\otimes \left(-3\right)$, find the value of $8x-2y+5$.

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