
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 the polynomial $\left(x-1\right)^{6}=a_{0}+a_{1}(x+1)+a_{2}(x+1)^{2}+\ldots +a_{6}(x+1)^{6}$, the value of $a_{2}+a_{3}$ is ______.

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