Evaluate
69
Factor
3\times 23
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9+2+7+2+7+2+11+2+7+2+7+2+7+2
Add 2 and 7 to get 9.
11+7+2+7+2+11+2+7+2+7+2+7+2
Add 9 and 2 to get 11.
18+2+7+2+11+2+7+2+7+2+7+2
Add 11 and 7 to get 18.
20+7+2+11+2+7+2+7+2+7+2
Add 18 and 2 to get 20.
27+2+11+2+7+2+7+2+7+2
Add 20 and 7 to get 27.
29+11+2+7+2+7+2+7+2
Add 27 and 2 to get 29.
40+2+7+2+7+2+7+2
Add 29 and 11 to get 40.
42+7+2+7+2+7+2
Add 40 and 2 to get 42.
49+2+7+2+7+2
Add 42 and 7 to get 49.
51+7+2+7+2
Add 49 and 2 to get 51.
58+2+7+2
Add 51 and 7 to get 58.
60+7+2
Add 58 and 2 to get 60.
67+2
Add 60 and 7 to get 67.
69
Add 67 and 2 to get 69.
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}