
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
If the function $f(x)=x^{5}$ is represented as $f(x)=a_{0}+a_{1}(1+x)+a_{2}(1+x)^{2}+…+a_{5}(1+x)^{5}$, where $a_{0}$, $a_{1}$, $a_{2}$, $…a_{5}$ are real numbers, then $a_{3}=$ \_\_\_\_\_\_.

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