a. = -17
b. = 54
c. = 8
d. = 56
e. = 6
f. = -34
a) \(5+\left(-12\right)-10=\left(-7\right)-10=-17\)
b) \(25-\left(-17\right)+24-12=42+24-12=66-12=54\)
c) \(\left(-5-3\right)\cdot\left(3-5\right)\div\left(-3+5\right)=\left(-8\right)\cdot\left(-2\right)\div2=8\)
d) \(5^6\div5^4+2^3\cdot2^2-225\div15^2=25+32-1=56\)
e) \(4\cdot\left(13-16\right)-\left(3-5\right)\cdot\left(-3\right)^2=4\cdot\left(-3\right)-\left(-2\right)\cdot9=6\)
f) \(235-\left(34+135\right)-100=235-169-100=-34\)