Evaluate
\frac{265}{2}=132.5
Factor
\frac{5 \cdot 53}{2} = 132\frac{1}{2} = 132.5
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63-2\times 4+15+\frac{125}{2}
Divide 8 by 2 to get 4.
63-8+15+\frac{125}{2}
Multiply 2 and 4 to get 8.
55+15+\frac{125}{2}
Subtract 8 from 63 to get 55.
70+\frac{125}{2}
Add 55 and 15 to get 70.
\frac{140}{2}+\frac{125}{2}
Convert 70 to fraction \frac{140}{2}.
\frac{140+125}{2}
Since \frac{140}{2} and \frac{125}{2} have the same denominator, add them by adding their numerators.
\frac{265}{2}
Add 140 and 125 to get 265.
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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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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}