
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
A graph of the inverse proportion function $y=\frac{k}{x}$ ($k\neq 0$) passes through two points $A(x_{1}, y_{1})$ and $B(x_{2}, y_{2})$. When $x_{1} \lt 0 \lt x_{2}$, $y_{1} \gt y_{2}$. Write down the value of $k$ that satisfies the conditions (answer is not unique, provide one).

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