-2+(-3- \lfloor 7+4(-2+5) \rfloor -4=
Evaluate
-28
Factor
-28
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-2+-3-\lfloor 7+4\times 3\rfloor -4
Add -2 and 5 to get 3.
-2+-3-\lfloor 7+12\rfloor -4
Multiply 4 and 3 to get 12.
-2+-3-\lfloor 19\rfloor -4
Add 7 and 12 to get 19.
-2-3-19-4
The floor of a real number a is the largest integer number less than or equal to a. The floor of 19 is 19.
-2-22-4
Subtract 19 from -3 to get -22.
-24-4
Subtract 22 from -2 to get -24.
-28
Subtract 4 from -24 to get -28.
Examples
Quadratic equation
{ 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}