Find $A^5-4A^4+7A^3+11A^2-A-10I$
7991
Compute $A^5-4A^4-7A^3+11A^2-A-10I$ for $A= \begin{pmatrix}1&4\\2&3\end{pmatrix}$ by Cayley-Hamilton
142401
Where's the problem in this equation? Resulting in $4 = 5$
48622
Given an integer $a$, suppose $d=\gcd(3a+5,\,5a+7)>2$. Determine $d$.
114954
Solve the equation $x^3 + 117y^3 = 5$ over the integers.
25258
Prove that if $ a,b,c > 0 $, then $ [(1 + a) (1 + b) (1 + c)]^{7} > 7^{7} (a^{4} b^{4} c^{4}) $.
105117
$1 + \frac{1}{3}\frac{1}{4} + \frac{1}{5}\frac{1}{4^2} + \frac{1}{7}\frac{1}{4^3} + ..........$
138078
Solve $2000x^6+100x^5+10x^3+x-2=0$
153053
Find numbers $a, b, c$ given that $a+b+c=12$, $a^2+b^2+c^2=50$, and $a^3+b^3+c^3=168$
112575
Finding integer solutions of $m^2-n^5 = m - n$
42391
Calculate $\tan9^{\circ}-\tan27^{\circ}-\tan63^{\circ}+\tan81^{\circ}$
67666
show that $a^2+b^2+c^2+2abc+3\ge (1+a)(1+b)(1+c)$
128091
Find the range of possible values of $\sqrt{a^2+a+1}-\sqrt{a^2-a+1}$
128576
How to find $x^4+y^4+z^4$ from equation?
42360
Find the number of solutions of $a_0+a_1+a_2=17$ if $2\le a_0\le 5$, $3\le a_1\le 6$, $4\le a_2\le 7$.
15985
simplify $(a_1 + a_2 +a_3+... +a_n)^m$
24822
How to solve the equation $(z+1)^7 = z^7$ for all $z$?
33105
Find the value of $a^2-b^2+c^2$