Evaluate
-443
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-443
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16+3^{2}-24\times \frac{3\times 2+33}{2}
Calculate 4 to the power of 2 and get 16.
16+9-24\times \frac{3\times 2+33}{2}
Calculate 3 to the power of 2 and get 9.
25-24\times \frac{3\times 2+33}{2}
Add 16 and 9 to get 25.
25-24\times \frac{6+33}{2}
Multiply 3 and 2 to get 6.
25-24\times \frac{39}{2}
Add 6 and 33 to get 39.
25-\frac{24\times 39}{2}
Express 24\times \frac{39}{2} as a single fraction.
25-\frac{936}{2}
Multiply 24 and 39 to get 936.
25-468
Divide 936 by 2 to get 468.
-443
Subtract 468 from 25 to get -443.
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}