
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
Let the functions $f(x)$ and $f'(x)$ have a domain of $R$, and the functions $f(2x-1)$ and $f'(x-2)$ are both even functions. If $f'(x) = ax^{3}+1$ when $x \in [1,2]$, then the value of $f'(2022)$ is ______.

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