
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
Engineers have modified their formula to account for varying material properties in square pillars, using $L=\frac{50T^4}{H^2 K}$, where $K$ represents a material constant. If $T = 2\sqrt{5}$ and $H = 10$, and the material constant $K = 2$, what is the value of $L$?

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