\left. \begin{array} { r } { 15 \times 3 - 4 - 1 + 5 \times 8 - 12.0 : 2 + 4 + 1 } \\ { 45 - 4 + 1 + 5 \times 8 - 120 : 2 + 4 + 1 } \end{array} \right.
Sort
27,79
Evaluate
79,\ 27
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sort(45-4-1+40-\frac{12}{2}+4+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Multiply 15 and 3 to get 45. Multiply 5 and 8 to get 40.
sort(41-1+40-\frac{12}{2}+4+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Subtract 4 from 45 to get 41.
sort(40+40-\frac{12}{2}+4+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Subtract 1 from 41 to get 40.
sort(80-\frac{12}{2}+4+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Add 40 and 40 to get 80.
sort(80-6+4+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Divide 12 by 2 to get 6.
sort(74+4+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Subtract 6 from 80 to get 74.
sort(78+1,45-4+1+5\times 8-\frac{120}{2}+4+1)
Add 74 and 4 to get 78.
sort(79,45-4+1+5\times 8-\frac{120}{2}+4+1)
Add 78 and 1 to get 79.
sort(79,41+1+5\times 8-\frac{120}{2}+4+1)
Subtract 4 from 45 to get 41.
sort(79,42+5\times 8-\frac{120}{2}+4+1)
Add 41 and 1 to get 42.
sort(79,42+40-\frac{120}{2}+4+1)
Multiply 5 and 8 to get 40.
sort(79,82-\frac{120}{2}+4+1)
Add 42 and 40 to get 82.
sort(79,82-60+4+1)
Divide 120 by 2 to get 60.
sort(79,22+4+1)
Subtract 60 from 82 to get 22.
sort(79,26+1)
Add 22 and 4 to get 26.
sort(79,27)
Add 26 and 1 to get 27.
79
To sort the list, start from a single element 79.
27,79
Insert 27 to the appropriate location in the new list.
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Matrix
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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}