\left. \begin{array} { l } { 52 + 33 : 3 } \\ { 28 : 7 + ( 6 \cdot 7 + 3 ^ { 3 } ) : 2 } \end{array} \right.
Sort
\frac{77}{2},63
Evaluate
63,\ \frac{77}{2}
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sort(52+11,\frac{28}{7}+\frac{6\times 7+3^{3}}{2})
Divide 33 by 3 to get 11.
sort(63,\frac{28}{7}+\frac{6\times 7+3^{3}}{2})
Add 52 and 11 to get 63.
sort(63,4+\frac{6\times 7+3^{3}}{2})
Divide 28 by 7 to get 4.
sort(63,4+\frac{42+3^{3}}{2})
Multiply 6 and 7 to get 42.
sort(63,4+\frac{42+27}{2})
Calculate 3 to the power of 3 and get 27.
sort(63,4+\frac{69}{2})
Add 42 and 27 to get 69.
sort(63,\frac{8}{2}+\frac{69}{2})
Convert 4 to fraction \frac{8}{2}.
sort(63,\frac{8+69}{2})
Since \frac{8}{2} and \frac{69}{2} have the same denominator, add them by adding their numerators.
sort(63,\frac{77}{2})
Add 8 and 69 to get 77.
63,\frac{77}{2}
Convert decimal numbers in the list 63,\frac{77}{2} to fractions.
63
To sort the list, start from a single element 63.
\frac{77}{2},63
Insert \frac{77}{2} to the appropriate location in the new list.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
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y = 3x + 4
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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}