
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
Determine \( m \) such that

\[ 2 x^{4} + 4 a x^{3} - 5 a^{2} x^{2} - 3 a^{3} x + m a^{4} \]

is divisible by \((x-a)\).

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