
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 formula $L = 5 \times 10^7 \times y^{-2}$ describes the luminosity (in lumens) of a certain type of star as a function of its temperature $y$ (in thousands of degrees Kelvin). Find the minimum temperature of the hottest 50 stars if their luminosity is at least $2000$ lumens.
A) 150
B) 158
C) 165
D) 175

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