\left. \begin{array} { l } { 15 + 12 : 4 - 3 \times 2 } \\ { 2 \times ( 2 + 3 ) - 20 : ( 1 + 3 ) } \end{array} \right.
Sort
5,12
Evaluate
12,\ 5
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sort(15+3-3\times 2,2\left(2+3\right)-\frac{20}{1+3})
Divide 12 by 4 to get 3.
sort(18-3\times 2,2\left(2+3\right)-\frac{20}{1+3})
Add 15 and 3 to get 18.
sort(18-6,2\left(2+3\right)-\frac{20}{1+3})
Multiply 3 and 2 to get 6.
sort(12,2\left(2+3\right)-\frac{20}{1+3})
Subtract 6 from 18 to get 12.
sort(12,2\times 5-\frac{20}{1+3})
Add 2 and 3 to get 5.
sort(12,10-\frac{20}{1+3})
Multiply 2 and 5 to get 10.
sort(12,10-\frac{20}{4})
Add 1 and 3 to get 4.
sort(12,10-5)
Divide 20 by 4 to get 5.
sort(12,5)
Subtract 5 from 10 to get 5.
12
To sort the list, start from a single element 12.
5,12
Insert 5 to the appropriate location in the new list.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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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}