
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
Solve the equation

$$
\begin{aligned}
& 1-\frac{x}{1}+\frac{x(x-1)}{1 \cdot 2}-\frac{x(x-1)(x-2)}{1 \cdot 2 \cdot 3}+\ldots \\
& \ldots+(-1)^{n} \frac{x(x-1)(x-2) \ldots(x-n)}{n!}=0
\end{aligned}
$$

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