Question

How many "odd committees" are there?

score 68 · Answer 1 · 2026-04-14 14:08:21

68

Views

How many "odd committees" are there?

Published on 14 Apr 2026 - 14:08

score 224 · Answer 2 · 2026-04-17 07:20:41

224

Views

If $ x + \frac{1}{x}=3 $, what is $ x^{3} + \frac{1}{x^{3}} $ and the generalization $ x^{n} + \frac{1}{x^{n}} $?

Published on 17 Apr 2026 - 7:20

score 1.3k · Answer 3 · 2026-04-14 13:55:17

1.3k

Views

Functional equation $f(xf(y))=f(xy)+x$

Published on 14 Apr 2026 - 13:55

score 211 · Answer 4 · 2026-04-12 14:54:51

211

Views

How prove this inequality $H(a_1)+H(a_2)+\cdots+H(a_m)\leq C\sqrt{\sum_{i=1}^{m}i a_i}$

Published on 12 Apr 2026 - 14:54

score 74 · Answer 5 · 2026-04-16 11:57:23

74

Views

Find $\tan a \cdot\tan b$ given equation involving $\sin x$ and $\cos x$

Published on 16 Apr 2026 - 11:57

score 113 · Answer 6 · 2026-04-16 20:58:51

113

Views

Find all pairs of $(x, y ,z)$ such that $x + y =\sqrt{z^{2} + 2018}, .... $

Published on 16 Apr 2026 - 20:58

score 1.4k · Answer 7 · 2026-04-15 19:34:33

1.4k

Views

Number of subsets of $A=\{1 ,2 ,3,...,8,9\}$ such that the maximum is in $B = \{1,3,5,7,9 \}$

Published on 15 Apr 2026 - 19:34

score 724 · Answer 8 · 2026-04-14 03:42:44

724

Views

Probability such that the average of those 22 numbers is the smallest possible average?

Published on 14 Apr 2026 - 3:42

score 502 · Answer 9 · 2026-04-16 12:39:40

502

Views

Math Olympiad Question : $a_na_{n+1} = a_n^2 + 1, a_0 = 5$

Published on 16 Apr 2026 - 12:39

score 394 · Answer 10 · 2026-05-10 15:50:20

394

Views

Russian MO 2004 $\sqrt{a} + \sqrt{b} + \sqrt{c} \geq ab + bc + ca$

Published on 10 May 2026 - 15:50

score 462 · Answer 11 · 2026-04-22 19:13:48

462

Views

Number of elements $n \in \{1, ..., 100 \}$ such that $n^{4} - 20n^{2} + 100$ is of the form $k^{4}$ with $k$ an integer.

Published on 22 Apr 2026 - 19:13

score 177 · Answer 12 · 2026-04-17 01:47:11

177

Views

What is the number of elements in $\{1,2,...,2018\}$ such that it can be represented by $ x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1 \:\:? $

Published on 17 Apr 2026 - 1:47

score 5.4k · Answer 13 · 2026-04-16 00:26:09

5.4k

Views

Find all integer solutions of: $\;\frac{1}{m}+\frac{1}{n}-\frac{1}{mn^2}=\frac{3}{4}$

Published on 16 Apr 2026 - 0:26

score 353 · Answer 14 · 2026-04-15 01:00:44

353

Views

Prove this Hard geomtry with $HI=HP$

Published on 15 Apr 2026 - 1:00

score 238 · Answer 15 · 2026-04-15 17:54:48

238

Views

Solving the functional equation $f(n^2+m)=f(n+m^2)$

Published on 15 Apr 2026 - 17:54

List Question

How many "odd committees" are there?

If $ x + \frac{1}{x}=3 $, what is $ x^{3} + \frac{1}{x^{3}} $ and the generalization $ x^{n} + \frac{1}{x^{n}} $?

Functional equation $f(xf(y))=f(xy)+x$

How prove this inequality $H(a_1)+H(a_2)+\cdots+H(a_m)\leq C\sqrt{\sum_{i=1}^{m}i a_i}$

Find $\tan a \cdot\tan b$ given equation involving $\sin x$ and $\cos x$

Find all pairs of $(x, y ,z)$ such that $x + y =\sqrt{z^{2} + 2018}, .... $

Number of subsets of $A=\{1 ,2 ,3,...,8,9\}$ such that the maximum is in $B = \{1,3,5,7,9 \}$

Probability such that the average of those 22 numbers is the smallest possible average?

Math Olympiad Question : $a_na_{n+1} = a_n^2 + 1, a_0 = 5$

Russian MO 2004 $\sqrt{a} + \sqrt{b} + \sqrt{c} \geq ab + bc + ca$

Number of elements $n \in \{1, ..., 100 \}$ such that $n^{4} - 20n^{2} + 100$ is of the form $k^{4}$ with $k$ an integer.

What is the number of elements in $\{1,2,...,2018\}$ such that it can be represented by $ x^{6} + x^{5} + x^{4} + x^{3} + x^{2} + x + 1 \:\:? $

Find all integer solutions of: $\;\frac{1}{m}+\frac{1}{n}-\frac{1}{mn^2}=\frac{3}{4}$

Prove this Hard geomtry with $HI=HP$

Solving the functional equation $f(n^2+m)=f(n+m^2)$

Trending Questions

Popular # Hahtags

Popular Questions