\left. \begin{array} { l } { 5 \cdot ( - 6 ) - 20 : ( - 2 ) } \\ { - 1 \cdot ( + 7 ) - 50 : ( + 25 ) } \\ { ( + 34 ) : ( - 2 ) + ( - 28 ) : ( - 7 ) } \end{array} \right.
Sort
-20,-13,-9
Evaluate
-20,\ -9,\ -13
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sort(-30-\frac{20}{-2},-7-\frac{50}{25},\frac{34}{-2}+\frac{-28}{-7})
Multiply 5 and -6 to get -30.
sort(-30-\left(-10\right),-7-\frac{50}{25},\frac{34}{-2}+\frac{-28}{-7})
Divide 20 by -2 to get -10.
sort(-30+10,-7-\frac{50}{25},\frac{34}{-2}+\frac{-28}{-7})
The opposite of -10 is 10.
sort(-20,-7-\frac{50}{25},\frac{34}{-2}+\frac{-28}{-7})
Add -30 and 10 to get -20.
sort(-20,-7-2,\frac{34}{-2}+\frac{-28}{-7})
Divide 50 by 25 to get 2.
sort(-20,-9,\frac{34}{-2}+\frac{-28}{-7})
Subtract 2 from -7 to get -9.
sort(-20,-9,-17+\frac{-28}{-7})
Divide 34 by -2 to get -17.
sort(-20,-9,-17+4)
Divide -28 by -7 to get 4.
sort(-20,-9,-13)
Add -17 and 4 to get -13.
-20
To sort the list, start from a single element -20.
-20,-9
Insert -9 to the appropriate location in the new list.
-20,-13,-9
Insert -13 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}