Evaluate
\frac{28123}{15}\approx 1874.866666667
Factor
\frac{28123}{3 \cdot 5} = 1874\frac{13}{15} = 1874.8666666666666
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2262+\frac{6573}{315}-408
Multiply 78 and 29 to get 2262.
2262+\frac{313}{15}-408
Reduce the fraction \frac{6573}{315} to lowest terms by extracting and canceling out 21.
\frac{33930}{15}+\frac{313}{15}-408
Convert 2262 to fraction \frac{33930}{15}.
\frac{33930+313}{15}-408
Since \frac{33930}{15} and \frac{313}{15} have the same denominator, add them by adding their numerators.
\frac{34243}{15}-408
Add 33930 and 313 to get 34243.
\frac{34243}{15}-\frac{6120}{15}
Convert 408 to fraction \frac{6120}{15}.
\frac{34243-6120}{15}
Since \frac{34243}{15} and \frac{6120}{15} have the same denominator, subtract them by subtracting their numerators.
\frac{28123}{15}
Subtract 6120 from 34243 to get 28123.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
Arithmetic
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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}