Machine Input Output Reverse Calculation

Equation for each term: $k^2 + k + 3 = \text{Step IV value}$. For 9: $k^2 + k + 3 = 9 \implies k^2 + k - 6 = 0 \implies k = 2$. For 75: $k^2 + k + 3 = 75 \implies k^2 + k - 72 = 0 \implies k = 8$. For 113: $k^2 + k + 3 = 113 \implies k^2 + k - 110 = 0 \implies k = 10$. For 213: $k^2 + k + 3 = 213 \implies k^2 + k - 210 = 0 \implies k = 14$. For 33: $k^2 + k + 3 = 33 \implies k^2 + k - 30 = 0 \implies k = 5$. For 5: $k^2 + k + 3 = 5 \implies k^2 + k - 2 = 0 \implies k = 1$. Input = 2, 8, 10, 14, 5, 1.