$a)11\cdot \left(-11\right)+\left(-12\right)\cdot \left(-12\right)+13\cdot \left(-13\right)=-121+144-169=23-169=-146$

$b)-7,5\cdot 20+\left(-4\right)\cdot \left(-5,5\right)\cdot \left(-10\right)-\left(-100\right)\cdot 3,7=$

$=-150+22\cdot \left(-10\right)-\left(-370\right)=-150-220+370=-370+370=0$

$c\text{)}1\frac{2}{3}\cdot \left(-9\right)-4\frac{2}{7}\cdot 1,4+\left(-3\frac{3}{5}\right)\cdot \left(-1\frac{1}{9}\right)=$

$=\frac{5}{{\sout{3}}^1}\cdot \left(-{\sout{9}}^3\right)-\frac{30}{{\sout{7}}^1}\cdot {\sout{1,4}}^{0,2}+\left(-\frac{{\sout{18}}^2}{5}\right)\cdot \left(-\frac{10}{{\sout{9}}^1}\right)=$

$=-15-6+\frac{20}{5}=-21+4=-17$

$d\text{)}-\left(-2\frac{4}{5}\right)\cdot \left(-\frac{3}{7}\right)-\left(-3,6\right)\cdot \left(-\frac{2}{9}\right)-4,9\cdot \left(-\frac{3}{14}\right)=$

$=-\frac{{\sout{14}}^2}{5}\cdot \frac{3}{{\sout{7}}^1}-\frac{{\sout{36}}^4}{10}\cdot \frac{2}{{\sout{9}}^1}+\frac{{\sout{49}}^7}{10}\cdot \frac{3}{{\sout{14}}^2}=$

$=-\frac{6}{5}-\frac{8}{10}+\frac{21}{20}=-\frac{24}{20}-\frac{16}{20}+\frac{21}{20}=-\frac{19}{20}$