\left. \begin{array} { l } { 24 - 37 - ( - 31 ) } \\ { ( - 11 ) - ( - 8 ) - ( - 5 ) - 17 } \\ { ( - \frac { 1 } { 3 } ) - ( - \frac { 1 } { 3 } ) } \end{array} \right.
Sort
-15,0,18
Evaluate
18,\ -15,\ 0
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sort(-13-\left(-31\right),-11-\left(-8\right)-\left(-5\right)-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
Subtract 37 from 24 to get -13.
sort(-13+31,-11-\left(-8\right)-\left(-5\right)-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
The opposite of -31 is 31.
sort(18,-11-\left(-8\right)-\left(-5\right)-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
Add -13 and 31 to get 18.
sort(18,-11+8-\left(-5\right)-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
The opposite of -8 is 8.
sort(18,-3-\left(-5\right)-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
Add -11 and 8 to get -3.
sort(18,-3+5-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
The opposite of -5 is 5.
sort(18,2-17,-\frac{1}{3}-\left(-\frac{1}{3}\right))
Add -3 and 5 to get 2.
sort(18,-15,-\frac{1}{3}-\left(-\frac{1}{3}\right))
Subtract 17 from 2 to get -15.
sort(18,-15,-\frac{1}{3}+\frac{1}{3})
The opposite of -\frac{1}{3} is \frac{1}{3}.
sort(18,-15,0)
Add -\frac{1}{3} and \frac{1}{3} to get 0.
18
To sort the list, start from a single element 18.
-15,18
Insert -15 to the appropriate location in the new list.
-15,0,18
Insert 0 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}