\left. \begin{array} { l } { - 12 \cdot 3 + 18 : ( - 12 : 6 + 8 ) } \\ { 40 + ( - 9 + 18 + 36 - 7 ) - ( - 25 + 42 - 23 ) - 14 } \\ { 3 + [ 9 - ( 4 + 3 ) ] } \end{array} \right.
Sort
-33,5,70
Evaluate
-33,\ 70,\ 5
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sort(-36+\frac{18}{\frac{-12}{6}+8},40-9+18+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Multiply -12 and 3 to get -36.
sort(-36+\frac{18}{-2+8},40-9+18+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Divide -12 by 6 to get -2.
sort(-36+\frac{18}{6},40-9+18+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Add -2 and 8 to get 6.
sort(-36+3,40-9+18+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Divide 18 by 6 to get 3.
sort(-33,40-9+18+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Add -36 and 3 to get -33.
sort(-33,31+18+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Subtract 9 from 40 to get 31.
sort(-33,49+36-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Add 31 and 18 to get 49.
sort(-33,85-7-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Add 49 and 36 to get 85.
sort(-33,78-\left(-25+42-23\right)-14,3+9-\left(4+3\right))
Subtract 7 from 85 to get 78.
sort(-33,78-\left(17-23\right)-14,3+9-\left(4+3\right))
Add -25 and 42 to get 17.
sort(-33,78-\left(-6\right)-14,3+9-\left(4+3\right))
Subtract 23 from 17 to get -6.
sort(-33,78+6-14,3+9-\left(4+3\right))
The opposite of -6 is 6.
sort(-33,84-14,3+9-\left(4+3\right))
Add 78 and 6 to get 84.
sort(-33,70,3+9-\left(4+3\right))
Subtract 14 from 84 to get 70.
sort(-33,70,3+9-7)
Add 4 and 3 to get 7.
sort(-33,70,3+2)
Subtract 7 from 9 to get 2.
sort(-33,70,5)
Add 3 and 2 to get 5.
-33
To sort the list, start from a single element -33.
-33,70
Insert 70 to the appropriate location in the new list.
-33,5,70
Insert 5 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}