Evaluate
\frac{4}{3\left(11-16905000d_{5}\right)}
Expand
\frac{400}{3300-5071500000d_{5}}
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\frac{2500-30\times 70}{15\times 220-30^{2}d_{5}\times 1150\times 70^{2}}
Multiply 5 and 500 to get 2500.
\frac{2500-2100}{15\times 220-30^{2}d_{5}\times 1150\times 70^{2}}
Multiply 30 and 70 to get 2100.
\frac{400}{15\times 220-30^{2}d_{5}\times 1150\times 70^{2}}
Subtract 2100 from 2500 to get 400.
\frac{400}{3300-30^{2}d_{5}\times 1150\times 70^{2}}
Multiply 15 and 220 to get 3300.
\frac{400}{3300-900d_{5}\times 1150\times 70^{2}}
Calculate 30 to the power of 2 and get 900.
\frac{400}{3300-1035000d_{5}\times 70^{2}}
Multiply 900 and 1150 to get 1035000.
\frac{400}{3300-1035000d_{5}\times 4900}
Calculate 70 to the power of 2 and get 4900.
\frac{400}{3300-5071500000d_{5}}
Multiply 1035000 and 4900 to get 5071500000.
\frac{2500-30\times 70}{15\times 220-30^{2}d_{5}\times 1150\times 70^{2}}
Multiply 5 and 500 to get 2500.
\frac{2500-2100}{15\times 220-30^{2}d_{5}\times 1150\times 70^{2}}
Multiply 30 and 70 to get 2100.
\frac{400}{15\times 220-30^{2}d_{5}\times 1150\times 70^{2}}
Subtract 2100 from 2500 to get 400.
\frac{400}{3300-30^{2}d_{5}\times 1150\times 70^{2}}
Multiply 15 and 220 to get 3300.
\frac{400}{3300-900d_{5}\times 1150\times 70^{2}}
Calculate 30 to the power of 2 and get 900.
\frac{400}{3300-1035000d_{5}\times 70^{2}}
Multiply 900 and 1150 to get 1035000.
\frac{400}{3300-1035000d_{5}\times 4900}
Calculate 70 to the power of 2 and get 4900.
\frac{400}{3300-5071500000d_{5}}
Multiply 1035000 and 4900 to get 5071500000.
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}