
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
When  $ y^2 \plus{} my \plus{} 2$  is divided by  $ y \minus{} 1$  and  $ y \plus{} 1$, find the value of  $ m$  such that the remainders are equal.

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