
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
In civil engineering, the stability of cylindrical columns under a load is often examined using the formula \( L = \frac{50T^3}{SH^2} \), where \( L \) is the load in newtons, \( T \) is the thickness of the column in centimeters, \( H \) is the height of the column in meters, and \( S \) is a safety factor. Given that \( T = 5 \) cm, \( H = 10 \) m, and \( S = 2 \), calculate the value of \( L \).

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