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📰 oxed{i}Question: What is the smallest positive integer whose cube ends in the digits $888$? 📰 Solution: We seek the smallest positive integer $ n $ such that $ n^3 \equiv 888 \pmod{1000} $. This means we want the last three digits of $ n^3 $ to be $888$. We solve this congruence modulo $1000$. Since $1000 = 8 imes 125$, and $8$ and $125$ are coprime, we can use the Chinese Remainder Theorem by solving modulo $8$ and modulo $125$ separately. 📰 First, modulo $8$: 📰 Roblox Activities 📰 Where Can I Get Exp Share In Fire Red 📰 The Longest Journey Video Game 📰 Live Update Deactivate Private Browsing And The Fallout Continues 📰 From A Mazing To A Exciting These Aqua Sculpt Reviews Will Blow Your Mind 9924739 📰 An Electrical Engineer Is Designing A Battery Pack For An Ev If Each Cell Provides 37 Volts And The System Needs 444 Volts How Many Cells Must Be Connected In Series 5238469 📰 Bank Of America Pacific Palisades Ca 411772 📰 Free Items Games Roblox 📰 Stuck Reading Broken Xlsx Files The Perfect Viewer Youve Been Searching For 5823741 📰 This Revolutionary Tool Wormio Uses Is Changing All Your Worm Farms Overnight 7730227 📰 Fidelity Ach Shock The Shocking Way It Boosts Your Returns Overnight 5527094 📰 This Simple Fix Will Change How You Work With Pivot Tables Forever 945392 📰 Police Confirm Removing Hyperlinks From Excel And Officials Confirm 📰 Safety Harbor 4475746 📰 Transform Excel Data In Minutesmaster Power Bi With These Simple Steps 2566232