Category
Algebra
Polynomials, inequalities, and the art of a clean substitution.
Algebra is where most competition problems begin. Polynomials, inequalities, sequences, functional equations — the objects are familiar from school, but a contest asks you to manipulate them rather than merely evaluate them.
The problems here run from a single-step factorisation up to identities that only fall to a well-chosen substitution. Expect Vieta’s formulas, AM–GM, and the recurring lesson that the right rearrangement does most of the work.
Latest problems
243 problems
Mean of a Set
1000
2
Minimizing a Product
1000
2
Polynomial Remainder II
1000
3
Roots of a Quadratic Polynomial V
1000
2
Roots of a Quadratic Polynomial VI
1000
3
Roots of a shifted quadratic
1000
2
Solving a Nested Radical Equation
1000
2
Sum of Coefficients
1000
3
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