
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 first, then evaluate:<br/>$(1)x^{2}-2(x^{2}-3y)-3(2x^{2}+5y)$, where $x=-2$ and $y=-3$;<br/>$(2)$ Given $a-b=2b^{2}$, find the value of $2(a^{3}-2b^{2})-\left(2b-a\right)+a-2a^{3}$.

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