a) \( -3+8 m n^{2}-5 m^{2} n^{3}+9 m^{3} n^{4} \) b) \( -16 s t+3 s^{3} t^{3}-5+22 s t^{2} \) c) \( 8 m^{2} n-3 m^{3} n^{2}-7+4 m n \) d) \( x-4 x^{3}+7 x^{2}+10 x^{4}-6 \) e) \( 4 m^{4}-5 m^{6}+2 m-9 m^{3}+11 \) f) \( -10-a^{4} b^{3}+2 a^{2} b^{5}+3 a^{3} b^{4}-6 a b^{6} \) g) \( -6 x^{8} y^{2}+4 x^{10}-9 x^{4} y^{6} \) h) \( m^{4}-5 m+6 m^{3}-9 m^{2}+6 \) i) \( 6 m n^{2}-5 m^{3}+2 m^{2} n+n^{3} \) con respecto a \( m \) j) \( -17 x^{4} y+5 x^{5}+6 x^{2} y^{4}-9 x y^{2}+6 y^{3} \)

To simplify the given expressions, we will combine like terms and arrange them in standard form (from highest degree to lowest degree). Here are the simplified forms of each expression: a) \[ -3 + 8mn^2 - 5m^2n^3 + 9m^3n^4 \] This expression is already in standard form. b) \[ 3s^3t^3 + 22st^2 - 16st - 5 \] Rearranged in standard form. c) \[ -3m^3n^2 + 8m^2n + 4mn - 7 \] Rearranged in standard form. d) \[ 10x^4 - 4x^3 + 7x^2 + x - 6 \] Rearranged in standard form. e) \[ -5m^6 + 4m^4 - 9m^3 + 2m + 11 \] Rearranged in standard form. f) \[ 2a^2b^5 + 3a^3b^4 - 6ab^6 - a^4b^3 - 10 \] Rearranged in standard form. g) \[ 4x^{10} - 6x^8y^2 - 9x^4y^6 \] Rearranged in standard form. h) \[ m^4 + 6m^3 - 9m^2 - 5m + 6 \] Rearranged in standard form. i) \[ -5m^3 + 2m^2n + 6mn^2 + n^3 \] Rearranged in standard form with respect to \( m \). j) \[ 5x^5 - 17x^4y + 6x^2y^4 - 9xy^2 + 6y^3 \] Rearranged in standard form. These are the simplified forms of the given expressions. If you need further assistance or specific operations on these expressions, feel free to ask!