]> $\text{Start arithmetic tests}$$a+b-c$$a+b+c$$a-b-c$$a-b+c$$-1+7$$-1$$7+-1$$-(7+1)$$ab$$-(ab)$$ab+c$$2x+ab$$x+yz+z$$x(y+z)z$$-(x+ab)$$\frac{a}{b}$$-\left(\frac{a}{b}\right)$$\frac{a+b}{a-b}$$-\left(\frac{a+b}{a-b}\right)$$\frac{a+b}{\frac{a}{b}}$$x(\frac{a}{b}+c)-1$$e^x$$e^{x^j}$$-e^{x^j}$$(x+y)^{(n-3)}$$(x+y)^{-(n-3)}$$-(x+y)^{(n-3)}$$a\mod b$$\gcd (a, b, c)$$a\mod b$$\gcd (a, b, c)$$n!$$(n+m+x)!$$\text{END}$$\text{Start Calculus tests}$$\lim_{x\searrow a}\sin x$$\lim_{x\searrow a}\sin x$$\lim_{x\searrow a}\sin (x+y)$$\lim_{x\searrow a}\sin (x+y)$$\lim_{x\searrow a}\sin (xy)2b$$\lim_{x\searrow a}\sin (xy)2b$$\int f(x)\,d x$$\int_0^a f(x)\,d x$$\int_0^a a+x\,d x$$\frac{d f(x)}{d x}$$\frac{\partial^{3}f(x, y)}{\partial x^2\partial y}$$\int_a^b f(x)\,d x$$\int_{x\in D} f(x)\,d x$$\frac{\partial^{n+m}\sin (xy)}{\partial x^n\partial y^m}$$\sum_{x=a}^b f(x)$$\sum_{x\in B} f(x)$$\prod_{x=a}^b f(x)$$\prod_{x\in B} f(x)$$x^2\searrow a^2$$x^2\searrow a^2$$\left(\begin{array}{c}x\\ y\end{array}\right)\to \left(\begin{array}{c}f(x, y)\\ g(x, y)\end{array}\right)$$\left(\begin{array}{c}x\\ y\end{array}\right)\to \left(\begin{array}{c}f(x, y)\\ g(x, y)\end{array}\right)$$\lim_{x\to 0}\sin x$$x^2\searrow a^2$$x^2\searrow a^2$$x^2\nearrow a^2$$x^2\nearrow a^2$$x^2\rightarrow a^2$$x^2\rightarrow a^2$$\ln a$$\log_{3}x$$\log_3(x+y)$$\text{END}$$\text{Start logic and set tests}$$a\land b$$a\lor b$$a\mathop{\mathrm{xor}}b$$a=b$$a=b$$a\neq b$$a\neq b$$a> b$$a> b$$a< b$$a< b$$a\ge b$$a\ge b$$a\le b$$a\le b$$(x> 0)\land (x< 1)$$(x> 0)\land (x< 1)$$\neg a$$\neg (a\land b)$$A\cup B$$A\cap B$$A\cap (B\cup C)$$A\cap B\cup C\cap D$$x\in R$$x\in R$$a\in A$$a\notin A$$a\notin A$$A\subseteq B$$A\subseteq B$$A\subset B$$A\subset B$$A\nsubseteq B$$A\nsubseteq B$$A\not\subset B$$A\not\subset B$$A\setminus B$$A\implies B$$A\implies B$$\{b, a, c\}$$\{x\colon x< 5\}$$\{\{a, d\}, \{x, y, z\}, \{0, 2, 6, 8, 9\}\}$$A\cup =A$$(A=B)\implies (A\cup C=B\cup C)$$\{4.56, 4.56, 4/5, 4+5i, 4.56e^{i 4.56}, , , , , , , , \}$$\left[b, a, c\right]$$\left[x\colon x< 5\right]$$\forall x$$\forall x\colon x-x=0$$\forall p, q, p\in Q\land q\in Q\land (p< q)\colon p< q^2$$\forall n, n\in Z\land (n> 0)\colon \exists x, y, z, x\in Z\land y\in Z\land z\in Z\colon x^n+y^n=z^n$$\exists x\colon f(x)=0$$\forall n, n\in Z\land (n> 0)\colon \exists x, y, z, x\in Z\land y\in Z\land z\in Z\colon x^n+y^n=z^n$$\neg \forall s, s\in S$$\neg \forall s, s\in S\colon f(x)\in T$$\neg \forall s, s\in S\colon f(x)\in T=\exists s, s\in S$$\neg \forall s, s\in S\colon f(x)\in T=\exists s, s\in S\colon f(s)\notin T$$\neg \forall s, s\in S\colon f(x)\in T=\exists s, s\in S\colon f(s)\notin T$$\text{END}$$\text{Start Linear Algebra tests}$$a^{(-1)}(A)$$\left(\begin{array}{c}1\\ 2\\ 3\\ x\end{array}\right)$$\begin{pmatrix}0 & 1 & 0 & 0\\ 0 & 0 & 1 & 0\\ 1 & 0 & 0 & 0\end{pmatrix}$$\det A$$A^T$$\begin{pmatrix}1 & 2\\ 3 & 4\end{pmatrix}_1$$\text{END}$$\max\{x-\sin x\mid (x> 0)\land (x< 1)\}$$x\mapsto \sin (x+1)$$b\mapsto \int_a^b f(x)\,d x$$f\circ g$$(f\circ g)(x)$$f(g(x))$$f\circ f^{(-1)}=\mathrm{id}$$f\circ f^{(-1)}=\mathrm{id}$$\min\{x^2\mid x\notin B\}$$\min\{x^2\mid x\notin B\}$$a\mod b$$ab$$\gcd (a, b, c)$$\int_0^a f(x)\,d x$$\left|x\right|$$\left|\frac{H}{K}\right|$$\left|x+y+z\right|$$\langle X\rangle$$\sqrt[n]{a+b}$$\sigma (X)$$\sigma(X)^2$$\mathop{\mathrm{median}}(X)$$\mathop{\mathrm{mode}}(X)$$\langle X^3\rangle$