List questions from problem-solving

Published on 25 Mar 2026 - 17:29

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Determine all functions $f : \mathbb{N} \rightarrow \mathbb{N}$ such that, for every positive integer $n$, we have: $2n+2001≤f(f(n))+f(n)≤2n+2002$.

Published on 25 Mar 2026 - 4:43

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Petersen graph edge chromatic number

Published on 30 Nov 2018 - 1:33

922

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Proving $ \frac{\csc x + \cot x}{\tan x + \sin x} = \cot x\csc x $

Published on 30 Nov 2018 - 2:20

181

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Let $\Delta ABC$ be a right triangle. Prove that $\angle BEH=\angle HCI$.

Published on 02 Dec 2018 - 13:57

118

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Prove that $BH=AH$

Published on 02 Dec 2018 - 20:06

150

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Right triangle geometry problem

Published on 02 Dec 2018 - 22:14

126

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Show that three point $G,H,G_1$ are collinear.

Published on 07 Dec 2018 - 14:20

446

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Find all positive integers $a$ and $b$ such that $(1 + a)(8 + b)(a + b) = 27ab$.

Published on 08 Dec 2018 - 18:01

65

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Differentiating an arbitrary vector function with angular momentum operator in quantum mechanics

Published on 08 Dec 2018 - 18:53

72

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How to: $f(x)$ congruent to $a \pmod{b^n}$

Published on 09 Dec 2018 - 15:52

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Find the unit price of each item which was paid as whole

Published on 26 Mar 2026 - 4:53

374

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Solutions to $a,\ b,\ c,\ \frac{a}{b}+\frac{b}{c}+\frac{c}{a},\ \frac{b}{a} + \frac{c}{b} + \frac{a}{c} \in \mathbb{Z}$

Published on 27 Mar 2026 - 3:44

526

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The "Right" Answer in Mathematics

Published on 13 Dec 2018 - 21:57

197

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Coloured partitions

Published on 26 Mar 2026 - 6:26

List Question

Inscribe an equilateral triangle inside a triangle

Determine all functions $f : \mathbb{N} \rightarrow \mathbb{N}$ such that, for every positive integer $n$, we have: $2n+2001≤f(f(n))+f(n)≤2n+2002$.

Petersen graph edge chromatic number

Proving $ \frac{\csc x + \cot x}{\tan x + \sin x} = \cot x\csc x $

Let $\Delta ABC$ be a right triangle. Prove that $\angle BEH=\angle HCI$.

Prove that $BH=AH$

Right triangle geometry problem

Show that three point $G,H,G_1$ are collinear.

Find all positive integers $a$ and $b$ such that $(1 + a)(8 + b)(a + b) = 27ab$.

Differentiating an arbitrary vector function with angular momentum operator in quantum mechanics

How to: $f(x)$ congruent to $a \pmod{b^n}$

Find the unit price of each item which was paid as whole

Solutions to $a,\ b,\ c,\ \frac{a}{b}+\frac{b}{c}+\frac{c}{a},\ \frac{b}{a} + \frac{c}{b} + \frac{a}{c} \in \mathbb{Z}$

The "Right" Answer in Mathematics

Coloured partitions

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