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5
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28+15-\left(-\left(2-6\right)-\left(-12-\left(-19+13\right)-4\right)+54\right)-\left(-47+25-8\right)
The opposite of -15 is 15.
43-\left(-\left(2-6\right)-\left(-12-\left(-19+13\right)-4\right)+54\right)-\left(-47+25-8\right)
Add 28 and 15 to get 43.
43-\left(-\left(-4\right)-\left(-12-\left(-19+13\right)-4\right)+54\right)-\left(-47+25-8\right)
Subtract 6 from 2 to get -4.
43-\left(4-\left(-12-\left(-19+13\right)-4\right)+54\right)-\left(-47+25-8\right)
The opposite of -4 is 4.
43-\left(4-\left(-12-\left(-6\right)-4\right)+54\right)-\left(-47+25-8\right)
Add -19 and 13 to get -6.
43-\left(4-\left(-12+6-4\right)+54\right)-\left(-47+25-8\right)
The opposite of -6 is 6.
43-\left(4-\left(-6-4\right)+54\right)-\left(-47+25-8\right)
Add -12 and 6 to get -6.
43-\left(4-\left(-10\right)+54\right)-\left(-47+25-8\right)
Subtract 4 from -6 to get -10.
43-\left(4+10+54\right)-\left(-47+25-8\right)
The opposite of -10 is 10.
43-\left(14+54\right)-\left(-47+25-8\right)
Add 4 and 10 to get 14.
43-68-\left(-47+25-8\right)
Add 14 and 54 to get 68.
-25-\left(-47+25-8\right)
Subtract 68 from 43 to get -25.
-25-\left(-22-8\right)
Add -47 and 25 to get -22.
-25-\left(-30\right)
Subtract 8 from -22 to get -30.
-25+30
The opposite of -30 is 30.
5
Add -25 and 30 to get 5.
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}