
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
Given a function $f\left(x\right)=x^{3}+ax^{2}+bx+c\left(a,b,c\in R\right)$, satisfying $f\left(2021\right)=2021$, $f\left(2022\right)=2022$, $f\left(2023\right)=2023$, then $f\left(2024\right)=\_\_\_\_\_\_$.

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