\left. \begin{array} { l } { ( - 5 ) \cdot ( - 20 ) \cdot ( 452 ) \cdot ( 48523 ) \cdot 0 } \\ { - 5 \cdot ( - 3 ) \cdot ( - 1 ) \cdot ( 10 ) \cdot ( - 1 ) } \\ { ( - 1 ) \cdot ( - 1 ) \cdot ( - 2 ) \cdot ( - 2 ) \cdot ( - 3 ) \cdot ( - 3 ) } \\ { ( - 6 ) \cdot ( - 1 ) \cdot ( 1 ) \cdot ( 2 ) \cdot ( 3 ) } \\ { ( 1 ) \cdot ( 5 ) \cdot ( - 5 ) \cdot - 5 \cdot - 2 } \\ { - 1 \cdot - 2 \cdot - 3 \cdot - 4 \cdot - 5 } \\ { - 5 \cdot 2 \cdot - 1 \cdot 1 \cdot - 2 } \\ { ( - 2 ) \cdot ( - 5 ) \cdot - 4 \cdot - 1 \cdot ( - 4 ) } \\ { ( - 1 ) \cdot 0 \cdot ( - 7 ) \cdot ( - 4 ) \cdot ( 1 ) } \end{array} \right.
Sort
-250,-160,-120,-20,0,0,36,36,150
Evaluate
0,\ 150,\ 36,\ 36,\ -250,\ -120,\ -20,\ -160,\ 0
Share
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sort(100\times 452\times 48523\times 0,-5\left(-3\right)\left(-1\right)\times 10\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -5 and -20 to get 100.
sort(45200\times 48523\times 0,-5\left(-3\right)\left(-1\right)\times 10\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 100 and 452 to get 45200.
sort(2193239600\times 0,-5\left(-3\right)\left(-1\right)\times 10\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 45200 and 48523 to get 2193239600.
sort(0,-5\left(-3\right)\left(-1\right)\times 10\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 2193239600 and 0 to get 0.
sort(0,15\left(-1\right)\times 10\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -5 and -3 to get 15.
sort(0,-15\times 10\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 15 and -1 to get -15.
sort(0,-150\left(-1\right),-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -15 and 10 to get -150.
sort(0,150,-\left(-1\right)\left(-2\right)\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -150 and -1 to get 150.
sort(0,150,-2\left(-2\right)\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -1 and -1 to get 1.
sort(0,150,4\left(-3\right)\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -2 and -2 to get 4.
sort(0,150,-12\left(-3\right),-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 4 and -3 to get -12.
sort(0,150,36,-6\left(-1\right)\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -12 and -3 to get 36.
sort(0,150,36,6\times 1\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -6 and -1 to get 6.
sort(0,150,36,6\times 2\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 6 and 1 to get 6.
sort(0,150,36,12\times 3,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 6 and 2 to get 12.
sort(0,150,36,36,1\times 5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 12 and 3 to get 36.
sort(0,150,36,36,5\left(-5\right)\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 1 and 5 to get 5.
sort(0,150,36,36,-25\left(-5\right)\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 5 and -5 to get -25.
sort(0,150,36,36,125\left(-2\right),-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -25 and -5 to get 125.
sort(0,150,36,36,-250,-\left(-2\right)\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 125 and -2 to get -250.
sort(0,150,36,36,-250,2\left(-3\right)\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -1 and -2 to get 2.
sort(0,150,36,36,-250,-6\left(-4\right)\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 2 and -3 to get -6.
sort(0,150,36,36,-250,24\left(-5\right),-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -6 and -4 to get 24.
sort(0,150,36,36,-250,-120,-5\times 2\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 24 and -5 to get -120.
sort(0,150,36,36,-250,-120,-10\left(-1\right)\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -5 and 2 to get -10.
sort(0,150,36,36,-250,-120,10\times 1\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -10 and -1 to get 10.
sort(0,150,36,36,-250,-120,10\left(-2\right),-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 10 and 1 to get 10.
sort(0,150,36,36,-250,-120,-20,-2\left(-5\right)\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 10 and -2 to get -20.
sort(0,150,36,36,-250,-120,-20,10\left(-4\right)\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -2 and -5 to get 10.
sort(0,150,36,36,-250,-120,-20,-40\left(-1\right)\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply 10 and -4 to get -40.
sort(0,150,36,36,-250,-120,-20,40\left(-4\right),-0\left(-7\right)\left(-4\right))
Multiply -40 and -1 to get 40.
sort(0,150,36,36,-250,-120,-20,-160,-0\left(-7\right)\left(-4\right))
Multiply 40 and -4 to get -160.
sort(0,150,36,36,-250,-120,-20,-160,0\left(-7\right)\left(-4\right)\times 1)
Multiply -1 and 0 to get 0.
sort(0,150,36,36,-250,-120,-20,-160,0\left(-4\right)\times 1)
Multiply 0 and -7 to get 0.
sort(0,150,36,36,-250,-120,-20,-160,0\times 1)
Multiply 0 and -4 to get 0.
sort(0,150,36,36,-250,-120,-20,-160,0)
Multiply 0 and 1 to get 0.
0
To sort the list, start from a single element 0.
0,150
Insert 150 to the appropriate location in the new list.
0,36,150
Insert 36 to the appropriate location in the new list.
0,36,36,150
Insert 36 to the appropriate location in the new list.
-250,0,36,36,150
Insert -250 to the appropriate location in the new list.
-250,-120,0,36,36,150
Insert -120 to the appropriate location in the new list.
-250,-120,-20,0,36,36,150
Insert -20 to the appropriate location in the new list.
-250,-160,-120,-20,0,36,36,150
Insert -160 to the appropriate location in the new list.
-250,-160,-120,-20,0,0,36,36,150
Insert 0 to the appropriate location in the new list.
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}