\left. \begin{array} { l } { [ ( - 147 + 39 ) \div 6 + 14 ] } \\ { ( - 2 ) ^ { 3 } \times ( - 3 ) ^ { 2 } } \end{array} \right.
Sort
-72,-4
Evaluate
-4,\ -72
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sort(\frac{-108}{6}+14,\left(-2\right)^{3}\left(-3\right)^{2})
Add -147 and 39 to get -108.
sort(-18+14,\left(-2\right)^{3}\left(-3\right)^{2})
Divide -108 by 6 to get -18.
sort(-4,\left(-2\right)^{3}\left(-3\right)^{2})
Add -18 and 14 to get -4.
sort(-4,-8\left(-3\right)^{2})
Calculate -2 to the power of 3 and get -8.
sort(-4,-8\times 9)
Calculate -3 to the power of 2 and get 9.
sort(-4,-72)
Multiply -8 and 9 to get -72.
-4
To sort the list, start from a single element -4.
-72,-4
Insert -72 to the appropriate location in the new list.
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}