Evaluate
90
Factor
2\times 3^{2}\times 5
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2+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9
Add 1 and 1 to get 2.
4+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9
Add 2 and 2 to get 4.
6+3+3+4+4+5+5+6+6+7+7+8+8+9+9
Add 4 and 2 to get 6.
9+3+4+4+5+5+6+6+7+7+8+8+9+9
Add 6 and 3 to get 9.
12+4+4+5+5+6+6+7+7+8+8+9+9
Add 9 and 3 to get 12.
16+4+5+5+6+6+7+7+8+8+9+9
Add 12 and 4 to get 16.
20+5+5+6+6+7+7+8+8+9+9
Add 16 and 4 to get 20.
25+5+6+6+7+7+8+8+9+9
Add 20 and 5 to get 25.
30+6+6+7+7+8+8+9+9
Add 25 and 5 to get 30.
36+6+7+7+8+8+9+9
Add 30 and 6 to get 36.
42+7+7+8+8+9+9
Add 36 and 6 to get 42.
49+7+8+8+9+9
Add 42 and 7 to get 49.
56+8+8+9+9
Add 49 and 7 to get 56.
64+8+9+9
Add 56 and 8 to get 64.
72+9+9
Add 64 and 8 to get 72.
81+9
Add 72 and 9 to get 81.
90
Add 81 and 9 to get 90.
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}