
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 "$\triangle$" such that for any rational numbers $a$ and $b$, $a\triangle b = a^{2} - ab$. For example, $7\triangle 4 = 7^{2} - 7 \times 4 = 21$.
$(1)$ Find the value of $\left(-3\right)\triangle 5$.
$(2)$ If we define another new operation "$*$" as $a*b = 3ab - b^{2}$, for example, $1*2 = 3 \times 1 \times 2 - 2^{2} = 2$. Find $\left(-4\right)*\left(2\triangle 3\right)$.

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