
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
For integers \( x \geq 1 \), let \( p(x) \) be the smallest prime that does not divide \( x \), and \( q(x) \) be the product of all primes less than \( p(x) \). Specifically, \( p(1) = 2 \), and if for some \( x \), \( p(x) = 2 \), then define \( q(x) = 1 \).

The sequence \( x_{0}, x_{1}, x_{2}, \cdots \) is defined by:
\[
\begin{array}{c}
x_{0} = 1, \\
x_{n+1} = \frac{x_{n} p(x_{n})}{q(x_{n})}
\end{array}
\]
where \( n \geq 0 \). Find all integers \( n \) such that \( x_{n} = 1995 \).

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