
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
For rational numbers $x$, $y$, define a new operation $x*y=ax+by+c$, where $a$, $b$, $c$ are constants, and the right side of the equation involves the usual addition and multiplication operations. Given that $1*2=9$, $(-3)*3=6$, and $0*1=2$, find the value of $(-2)*5$.

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