
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 $x^5+1=a+a_1(x-1)+a_2(x-1)^2+\ldots+a_5(x-1)^5$ holds for all real numbers $x$, then the value of $a+a_1+a_2+\ldots+a_5$ is equal to ____.

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