\( 1003 \equiv 2 \)

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• \( 5025 \div 11 \): \( 11 \times 456 = 5016 \), so \( 5025 - 5016 = 9 \).
• Alternatively, each term mod 11:
• \( 1001 \equiv 0 \pmod{11} \) (since \( 11 \times 91 = 1001 \))
• \( 1005 \equiv 4 \)
• \( 1007 \equiv 6 \)
• \( 1009 \equiv 8 \)

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