Find the largest integer that divides m5−5m3+4m for all m≥5.
A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.
Solution
5!=120.
Want a route through all this instead of an archive? The track
puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.
Source: Omni-MATH,
licensed Apache-2.0.
Statement reproduced verbatim; metadata (topic, difficulty) added by this project.