((1-129/25)*(1+427/200)*z-129*427*(1-z)/(25*200))*1/(129*(1-z)/25) если z=-1/4 (упростите выражение)

$$frac{z left(- frac{129}{25} + 1right) left(1 + frac{427}{200}right) – – frac{55083 z}{5000} + frac{55083}{5000}}{frac{1}{25} cdot 129 left(- z + 1right)}$$

$$frac{z left(- frac{129}{25} + 1right) left(1 + frac{427}{200}right) – – frac{55083 z}{5000} + frac{55083}{5000}}{frac{1}{25} cdot 129 left(- z + 1right)}$$

(((1 – 129/25)*(1 + 427/200))*(-1/4) – 55083*(1 – (-1/4))/5000)/((129*(1 – (-1/4)))/25)

$$frac{(-1/4) left(- frac{129}{25} + 1right) left(1 + frac{427}{200}right) – – frac{55083 (-1/4)}{5000} + frac{55083}{5000}}{frac{1}{25} cdot 129 left(- (-1/4) + 1right)}$$

(((1 – 129/25)*(1 + 427/200))*(-1)/4 – 55083*(1 – (-1)/4)/5000)/((129*(1 – (-1)/4))/25)

$$frac{- frac{55083}{4000} + frac{1}{4} left(-1 left(- frac{129}{25} + 1right) left(1 + frac{427}{200}right)right)}{frac{1}{25} cdot 129 left(- frac{-1}{4} + 1right)}$$

-70069/43000

$$- frac{70069}{43000}$$

$$frac{- frac{81 z}{40} – frac{55083}{5000}}{- frac{129 z}{25} + frac{129}{25}}$$

(-11.0166 – 2.025*z)/(5.16 – 5.16*z)

$$frac{- 253125 z – 1377075}{- 645000 z + 645000}$$

$$frac{- 10125 z – 55083}{- 25800 z + 25800}$$

18361 + 3375*z
————–
8600*(-1 + z)

$$frac{3375 z + 18361}{8600 z – 8600}$$

$$frac{1}{- frac{129 z}{25} + frac{129}{25}} left(z left(- frac{129}{25} + 1right) left(1 + frac{427}{200}right) – – frac{55083 z}{5000} + frac{55083}{5000}right)$$

135 2717
— + ————–
344 -1075 + 1075*z

$$frac{135}{344} + frac{2717}{1075 z – 1075}$$

18361 + 3375*z
————–
8600*(-1 + z)

$$frac{3375 z + 18361}{8600 z – 8600}$$

// 129 / 427 55083*(1 – z)
25*||1 – —|*|1 + —|*z – ————-|
25/ 200/ 5000 /
——————————————
129*(1 – z)

$$frac{1}{- 129 z + 129} left(25 z left(- frac{129}{25} + 1right) left(1 + frac{427}{200}right) – – frac{55083 z}{200} + frac{55083}{200}right)$$