Evaluate
57300
Factor
2^{2}\times 3\times 5^{2}\times 191
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50000+\left(10000+5000\right)\times \frac{2}{12}+\left(10000+5000-600\right)\times \frac{4}{12}
Multiply 10000 and 5 to get 50000.
50000+15000\times \frac{2}{12}+\left(10000+5000-600\right)\times \frac{4}{12}
Add 10000 and 5000 to get 15000.
50000+15000\times \frac{1}{6}+\left(10000+5000-600\right)\times \frac{4}{12}
Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.
50000+\frac{15000}{6}+\left(10000+5000-600\right)\times \frac{4}{12}
Multiply 15000 and \frac{1}{6} to get \frac{15000}{6}.
50000+2500+\left(10000+5000-600\right)\times \frac{4}{12}
Divide 15000 by 6 to get 2500.
52500+\left(10000+5000-600\right)\times \frac{4}{12}
Add 50000 and 2500 to get 52500.
52500+\left(15000-600\right)\times \frac{4}{12}
Add 10000 and 5000 to get 15000.
52500+14400\times \frac{4}{12}
Subtract 600 from 15000 to get 14400.
52500+14400\times \frac{1}{3}
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.
52500+\frac{14400}{3}
Multiply 14400 and \frac{1}{3} to get \frac{14400}{3}.
52500+4800
Divide 14400 by 3 to get 4800.
57300
Add 52500 and 4800 to get 57300.
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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}