
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
Ottó decided to assign a number to each pair \((x, y)\) and denote it as \((x \circ y)\). He wants the following relationships to hold:
a) \(x \circ y = y \circ x\)
b) \((x \circ y) \circ z = (x \circ z) \circ (y \circ z)\)
c) \((x \circ y) + z = (x + z) \circ (y + z)\).

What number should Ottó assign to the pair \((1975, 1976)\)?

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