$$x^4+x^3-5x^2+x-6=0$$

$$\cos\left(\frac{5\pi}{3}\right)+\mathrm{i}\sin\left(-\frac{\pi}{3}\right)$$

$$\cos(2x)+2\sin^2(x)>0$$

$$\sum_{n=1}^{\infty} \frac{x^{n}}{n!}$$

$$(x-2)(x+3)=0$$

$$\left|3x-4\right|>x+1$$

$$\frac{d}{dx}(x^2)+x=0$$

$$\log_4x=2$$

$$x^2+\left(y-\sqrt{\left|x\right|}\right)^2=1$$

$$\sin x=-\frac{1}{2}$$

$$5\cdot\begin{pmatrix}4 & 5\\ -3 & 2\end{pmatrix}$$

$$\frac{1}{2x}$$

$$r=\sin\left(2\theta\right)$$

$$\log_{10}\left(x-1.5\right)=-\log_{10}x$$

$$x^2+5x+6=3$$

$$5^{x+1}+5^x=30$$

$$\begin{pmatrix}4 & 5\\ -3 & 2\end{pmatrix}^{T}$$

$$\frac{d}{dx}(4x^3+3x^2+2x+1)$$

$$2^2 \cdot 4^3$$

$$\lim_{x\to-1}\frac{x^3+1}{x^2-1}$$

$$\int \frac{x^3}{x^2-4}dx$$

$$\frac{2x-2}{x+3}-\frac{x+3}{3-x}=5$$

$$\prod_{n=1}^{7} n$$

$$\sqrt{4 - x^{2}}-\arcsin{\left(\frac{x}{2} \right)}$$

$$\sin x + \cos 2x$$

$$3x-5>-2(x-10)$$

$$\begin{cases}x-7<0\\ x-8>-9\end{cases}$$

$$\left|x-5\right|=3$$