Evaluate
-\frac{4896}{49}\approx -99.918367347
Factor
-\frac{4896}{49} = -99\frac{45}{49} = -99.91836734693878
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\left(-\frac{70+2}{7}\right)\times \frac{9\times 7+5}{7}
Multiply 10 and 7 to get 70.
-\frac{72}{7}\times \frac{9\times 7+5}{7}
Add 70 and 2 to get 72.
-\frac{72}{7}\times \frac{63+5}{7}
Multiply 9 and 7 to get 63.
-\frac{72}{7}\times \frac{68}{7}
Add 63 and 5 to get 68.
\frac{-72\times 68}{7\times 7}
Multiply -\frac{72}{7} times \frac{68}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{-4896}{49}
Do the multiplications in the fraction \frac{-72\times 68}{7\times 7}.
-\frac{4896}{49}
Fraction \frac{-4896}{49} can be rewritten as -\frac{4896}{49} by extracting the negative sign.
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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
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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}