Value of $f^2(4)+g^2(4)$
15403
Sum of square of function
158971
Computing the Fourier series of $f(\theta)=(\pi-\theta)^2/4$ for $0\leq\theta\leq{2\pi}$
134619
Galois extension with $X^4-2aX^2+b\in\mathbb Q[X]$
116649
Value of: $ \frac {1} {\sqrt {4} + \sqrt {5}} + \frac {1} {\sqrt {5} + \sqrt {6}} + ... + \frac {1} {\sqrt {80} + \sqrt {81}}$
14548
Multivariable limit $\frac{(2x^2)y}{x^4+y^2}$
112778
Let $f(x) = x^3-\frac{3}{2}x^2+x+\frac{1}{4}.$ Then the value of $ \int^{3/4}_{1/4}f(f(x))\mathrm dx$
63689
proving roots of equation $x^2+x+4f=0$ are real.
154223
Find the maximum value of $ f(x) = \int^{x}_{0} \sqrt{(x^2-x)^2+y^4}~dy$
4333
Prove that if $a+b+c+d=4$, then $(a^2+3)(b^2+3)(c^2+3)(d^2+3)\geq256$
49794
Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$
6777
Showing $(a^{2}+2)(b^{2}+2)(c^{2}+2)\geq 9(ab+bc+ca)$
32122
Find the coefficient of the term $x^2$ in $\left(x+\frac 2x\right)^{4}$
10606
Finding how multiplication and addition behave on $\mathbb{F}_4$ without any result
72360
Find the value of $a^{2m}+a^m+{1\over a^m}+{1\over a^{2m}}$
110996
Sum of the form $r+r^2+r^4+\dots+r^{2^k} = \sum_{i=1}^k r^{2^i}$
83557
$\frac{x^2}{y+z}+\frac{y^2}{x+z}+\frac{z^2}{x+y} \ge \frac{1}{2}(x+y+z)$
137015
Solutions for $a^2+b^2+c^2=d^2$