Maths Olympiad Daily Problems

Find all integers k such that all roots of the following polynomial are also integers: f(x) = x^3 −(k−3)x^2 −11x+(4k−8)

As an admin, I can say that this group has lost its legacy. Some admins are jee aspirants and some are enjoying College life. If someone of class 8th , 9th, 10th has scored 30+ marks in Ioqm then Please contact @PrimeMathemaand send his your scorecard and volunteer for reviving this group. So that a great no. Of Olympiad aspirants can help each other in their Olympiad journey. A new set of rules will be made by 6th April for the discussion group. #MODP

IMO 1983 P6. DOUBT..

find the number of triplets x,y,z in residue class of a prime p such that x-y,y-z,z-x are quardratic residues?

Try

IMO COMBII 🤪🔪🔪🔪

Sorry Info. Missing Zi is a permutation of yi

What's the difference between Rational and fraction(can fraction be -ve)

IMO 1988 P3

I did this problem even more elegantly than the IMO COMPENDIUM

If anyone is interested in the hints Lemme know

IMO EZ PROBLEM