\left. \begin{array} { l } { ( 1 ) ( - 2 ) ( 3 ) - ( - 7 ) ( 2 ) ( 2 ) - ( 1 ) ( - 2 ) ^ { 2 } + 1 } \\ { ( 2 ) ( - 2 ) ( 1 ) + ( 7 ) ( 2 ) ( 1 ) + ( 3 ) ( - 2 ) ( - 1 ) } \end{array} \right.
Sort
16,19
Evaluate
19,\ 16
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sort(-2\times 3-\left(-7\times 2\times 2\right)-1\left(-2\right)^{2}+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Multiply 1 and -2 to get -2.
sort(-6-\left(-7\times 2\times 2\right)-1\left(-2\right)^{2}+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Multiply -2 and 3 to get -6.
sort(-6-\left(-14\times 2\right)-1\left(-2\right)^{2}+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Multiply -7 and 2 to get -14.
sort(-6-\left(-28\right)-1\left(-2\right)^{2}+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Multiply -14 and 2 to get -28.
sort(-6+28-1\left(-2\right)^{2}+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
The opposite of -28 is 28.
sort(22-1\left(-2\right)^{2}+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Add -6 and 28 to get 22.
sort(22-1\times 4+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Calculate -2 to the power of 2 and get 4.
sort(22-4+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Multiply 1 and 4 to get 4.
sort(18+1,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Subtract 4 from 22 to get 18.
sort(19,2\left(-2\right)\times 1+7\times 2\times 1+3\left(-2\right)\left(-1\right))
Add 18 and 1 to get 19.
sort(19,-4+14\times 1-6\left(-1\right))
Multiply 2 and -2 to get -4. Multiply 7 and 2 to get 14. Multiply 3 and -2 to get -6.
sort(19,-4+14-6\left(-1\right))
Multiply 14 and 1 to get 14.
sort(19,10-6\left(-1\right))
Add -4 and 14 to get 10.
sort(19,10+6)
Multiply -6 and -1 to get 6.
sort(19,16)
Add 10 and 6 to get 16.
19
To sort the list, start from a single element 19.
16,19
Insert 16 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}