\left. \begin{array} { l } { [ ( 18 + 3 \cdot 2 ) \div 8 + 5 \cdot 3 ] \div 6 = 3 } \\ { 37 + [ 25 - ( 11 + 19 - 4 ) ] = 36 } \end{array} \right.
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\frac{\frac{18+6}{8}+5\times 3}{6}=3\text{ and }37+25-\left(11+19-4\right)=36
Multiply 3 and 2 to get 6.
\frac{\frac{24}{8}+5\times 3}{6}=3\text{ and }37+25-\left(11+19-4\right)=36
Add 18 and 6 to get 24.
\frac{3+5\times 3}{6}=3\text{ and }37+25-\left(11+19-4\right)=36
Divide 24 by 8 to get 3.
\frac{3+15}{6}=3\text{ and }37+25-\left(11+19-4\right)=36
Multiply 5 and 3 to get 15.
\frac{18}{6}=3\text{ and }37+25-\left(11+19-4\right)=36
Add 3 and 15 to get 18.
3=3\text{ and }37+25-\left(11+19-4\right)=36
Divide 18 by 6 to get 3.
\text{true}\text{ and }37+25-\left(11+19-4\right)=36
Compare 3 and 3.
\text{true}\text{ and }37+25-\left(30-4\right)=36
Add 11 and 19 to get 30.
\text{true}\text{ and }37+25-26=36
Subtract 4 from 30 to get 26.
\text{true}\text{ and }37-1=36
Subtract 26 from 25 to get -1.
\text{true}\text{ and }36=36
Subtract 1 from 37 to get 36.
\text{true}\text{ and }\text{true}
Compare 36 and 36.
\text{true}
The conjunction of \text{true} and \text{true} is \text{true}.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
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}