
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
Compute the value of 
\[ M = (150^2 + 2) + (149^2 - 2) - (148^2 + 2) - (147^2 - 2) + (146^2 + 2) + \cdots + (4^2 + 2) + (3^2 - 2) - (2^2 + 2) - (1^2 - 2), \]
where the additions and subtractions alternate in pairs and an additional constant of $\pm 2$ alternates with the squares.

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