Evaluate
105
Factor
3\times 5\times 7
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3+3+4+5+6+7+8+9+10+11+12+13+14
Add 1 and 2 to get 3.
6+4+5+6+7+8+9+10+11+12+13+14
Add 3 and 3 to get 6.
10+5+6+7+8+9+10+11+12+13+14
Add 6 and 4 to get 10.
15+6+7+8+9+10+11+12+13+14
Add 10 and 5 to get 15.
21+7+8+9+10+11+12+13+14
Add 15 and 6 to get 21.
28+8+9+10+11+12+13+14
Add 21 and 7 to get 28.
36+9+10+11+12+13+14
Add 28 and 8 to get 36.
45+10+11+12+13+14
Add 36 and 9 to get 45.
55+11+12+13+14
Add 45 and 10 to get 55.
66+12+13+14
Add 55 and 11 to get 66.
78+13+14
Add 66 and 12 to get 78.
91+14
Add 78 and 13 to get 91.
105
Add 91 and 14 to get 105.
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}