
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
The average of the five numbers 1, 2, 3, 4, and 5 is $\frac{15}{5} = 3$. Let the two selected numbers be $x$ and $y$. The average of the remaining three numbers is then $\frac{1 + 2 + 3 + 5 - x - y}{3} = 3$, which simplifies to $9 - x - y = 9$, or $x + y = 0$.

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