
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 $x$ and $y$, a new operation is defined: $x * y = ax + by$, where $a$ and $b$ are constants, and the right side of the equation is the usual addition and multiplication operations. Given that $1 * 2 = 1$ and $(-3) * 3 = 6$, find the value of $2 * (-5)$.

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