
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
One and only one of the following pairs of numbers does not satisfy the equation \( 187x - 104y = 41 \). Which one is it?
1) \( x = 3, \quad y = 5 \)
2) \( x = 107, \quad y = 192 \)
3) \( x = 211, \quad y = 379 \)
4) \( x = 314, \quad y = 565 \)
5) \( x = 419, \quad y = 753 \)

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