
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 for any real number $x$, it holds that $a+a_1(x-1)+a_2(x-1)^2+a_3(x-1)^3=x^3$, then the value of $a$ is $\boxed{1}$; the value of $a_2$ is $\boxed{3}$.

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