Evaluate
165
Factor
3\times 5\times 11
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32+8\times 4+2\times 3+12\times 6-40+10\times 3+\frac{32}{2}+2\times 8+1
Divide 2 by 2 to get 1.
32+32+6+72-40+30+\frac{32}{2}+16+1
Multiply 8 and 4 to get 32. Multiply 2 and 3 to get 6. Multiply 12 and 6 to get 72. Multiply 10 and 3 to get 30. Multiply 2 and 8 to get 16.
64+6+72-40+30+\frac{32}{2}+16+1
Add 32 and 32 to get 64.
70+72-40+30+\frac{32}{2}+16+1
Add 64 and 6 to get 70.
142-40+30+\frac{32}{2}+16+1
Add 70 and 72 to get 142.
102+30+\frac{32}{2}+16+1
Subtract 40 from 142 to get 102.
132+\frac{32}{2}+16+1
Add 102 and 30 to get 132.
132+16+16+1
Divide 32 by 2 to get 16.
148+16+1
Add 132 and 16 to get 148.
164+1
Add 148 and 16 to get 164.
165
Add 164 and 1 to get 165.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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}