Evaluate
82
Factor
2\times 41
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6+1+2+2+1+2+2+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 2 and 4 to get 6.
7+2+2+1+2+2+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 6 and 1 to get 7.
9+2+1+2+2+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 7 and 2 to get 9.
11+1+2+2+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 9 and 2 to get 11.
12+2+2+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 11 and 1 to get 12.
14+2+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 12 and 2 to get 14.
16+6+8+3+2+10+3+3+12+1+3+2+3+10
Add 14 and 2 to get 16.
22+8+3+2+10+3+3+12+1+3+2+3+10
Add 16 and 6 to get 22.
30+3+2+10+3+3+12+1+3+2+3+10
Add 22 and 8 to get 30.
33+2+10+3+3+12+1+3+2+3+10
Add 30 and 3 to get 33.
35+10+3+3+12+1+3+2+3+10
Add 33 and 2 to get 35.
45+3+3+12+1+3+2+3+10
Add 35 and 10 to get 45.
48+3+12+1+3+2+3+10
Add 45 and 3 to get 48.
51+12+1+3+2+3+10
Add 48 and 3 to get 51.
63+1+3+2+3+10
Add 51 and 12 to get 63.
64+3+2+3+10
Add 63 and 1 to get 64.
67+2+3+10
Add 64 and 3 to get 67.
69+3+10
Add 67 and 2 to get 69.
72+10
Add 69 and 3 to get 72.
82
Add 72 and 10 to get 82.
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}