Advanced

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Strong Number Theory

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Strong Number Theory

Orders, lifting exponents, and tougher Diophantine equations for AIME.
Updated: 3 minutes ago

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Advanced Counting

Bijections, recursion, and invariants for AIME-level counting.
Updated: 3 minutes ago

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Polynomials and Root Techniques

Vieta's formulas, factor theorem, and root manipulation.
Updated: 3 minutes ago

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Complex Numbers

Roots of unity, polar form, and geometric interpretations.
Updated: 3 minutes ago

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Advanced Geometry

Cevians, homothety, and power of a point for AIME.
Updated: 3 minutes ago

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Trigonometry in Contests

Identities, sine and cosine rules, and trig substitution.
Updated: 3 minutes ago

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Inequalities (AIME Level)

Cauchy, Jensen (intro), and strategic substitutions.
Updated: 3 minutes ago

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Generating Functions (Intro)

Translate counting into algebra using power series.
Updated: 3 minutes ago

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Functional Equations (AIME Level)

More sophisticated substitutions and invariants in FE problems.
Updated: 3 minutes ago