\left. \begin{array} { l } { 200013 - 800012 = 20 } \\ { - 700013 - 40001 + 40 = 0 } \end{array} \right.
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false
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-599999=20\text{ and }-700013-40001+40=0
Subtract 800012 from 200013 to get -599999.
\text{false}\text{ and }-700013-40001+40=0
Compare -599999 and 20.
\text{false}\text{ and }-740014+40=0
Subtract 40001 from -700013 to get -740014.
\text{false}\text{ and }-739974=0
Add -740014 and 40 to get -739974.
\text{false}\text{ and }\text{false}
Compare -739974 and 0.
\text{false}
The conjunction of \text{false} and \text{false} is \text{false}.
Examples
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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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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}