
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
It is known that a heated body emits energy every second from one square meter according to the expression \( w = \sigma T^{4} \), where \( \sigma = 5.67 \cdot 10^{-8} \) J \( /\left(s \cdot m^{2} \cdot K^{4}\right) \). To what temperature will a piece of wire of length \( L = 25 \) cm and diameter \( D = 1 \) mm be heated if a voltage of \( U = 220 \) V is applied to its ends for a long time and a current of \( I = 5 \) A flows through the wire?

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