
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
A company needs to hire new employees so that 150 of the new employees will be able to handle customer service, 125 of the new employees will be able to manage technical support, and exactly 50 of the new employees will be able to handle both. (These 50 are included in the 150 and 125 mentioned above.) What is the minimum number of employees that need to be hired?

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