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Algebra

Vieta's formulas

Relate roots to coefficients of a quadratic.

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Sum of cubes of roots

Find r³ + s³ from a quadratic's coefficients.

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Systems of equations

Solve two linear equations, two unknowns.

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Arithmetic series

Sum the first n terms of an AP.

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Geometric series

Sum the first n terms of a GP.

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Remainder theorem

Find a polynomial remainder the fast way.

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AM–GM inequality

Minimise x + c/x with AM–GM.

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