Evaluate
-\frac{1}{4}=-0.25
Factor
-\frac{1}{4} = -0.25
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\frac{\frac{2}{2}-\frac{1}{2}}{4\left(-\frac{1}{2}\right)}
Convert 1 to fraction \frac{2}{2}.
\frac{\frac{2-1}{2}}{4\left(-\frac{1}{2}\right)}
Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{\frac{1}{2}}{4\left(-\frac{1}{2}\right)}
Subtract 1 from 2 to get 1.
\frac{\frac{1}{2}}{\frac{4\left(-1\right)}{2}}
Express 4\left(-\frac{1}{2}\right) as a single fraction.
\frac{\frac{1}{2}}{\frac{-4}{2}}
Multiply 4 and -1 to get -4.
\frac{\frac{1}{2}}{-2}
Divide -4 by 2 to get -2.
\frac{1}{2\left(-2\right)}
Express \frac{\frac{1}{2}}{-2} as a single fraction.
\frac{1}{-4}
Multiply 2 and -2 to get -4.
-\frac{1}{4}
Fraction \frac{1}{-4} can be rewritten as -\frac{1}{4} by extracting the negative sign.
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{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
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}