\left. \begin{array} { l } { 13 * 21 } \\ { 15 + 2 } \\ { 12 + 4 + 45 } \\ { 12 + ( 12 * 1 ) } \end{array} \right.
Sort
17,24,61,273
Evaluate
273,\ 17,\ 61,\ 24
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sort(273,15+2,12+4+45,12+12\times 1)
Multiply 13 and 21 to get 273.
sort(273,17,12+4+45,12+12\times 1)
Add 15 and 2 to get 17.
sort(273,17,16+45,12+12\times 1)
Add 12 and 4 to get 16.
sort(273,17,61,12+12\times 1)
Add 16 and 45 to get 61.
sort(273,17,61,12+12)
Multiply 12 and 1 to get 12.
sort(273,17,61,24)
Add 12 and 12 to get 24.
273
To sort the list, start from a single element 273.
17,273
Insert 17 to the appropriate location in the new list.
17,61,273
Insert 61 to the appropriate location in the new list.
17,24,61,273
Insert 24 to the appropriate location in the new list.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}