In a small bowl, whisk together the soy sauce, lime juice, minced garlic, vegetable oil, salt, cumin, paprika, oregano, and black pepper to create the marinade.
Pat the chicken dry with paper towels. Rub the marinade thoroughly over the chicken skin and underneath the skin of the breast and thighs. Cover and refrigerate for at least 2 hours or overnight.
Preheat the oven to 425°F (220°C).
Place the chicken on a rack in a roasting pan, breast-side up. Roast for 20 minutes at high heat to crisp the skin.
Reduce the oven temperature to 375°F (190°C). Continue roasting for approximately 50 to 55 minutes, or until an instant-read thermometer inserted into the thickest part of the thigh reaches 165°F (74°C).
While the chicken is roasting, prepare the Aji Verde sauce by blending the jalapeños, cilantro, mayonnaise, olive oil, one garlic clove, and salt in a food processor until smooth.
Remove the chicken from the oven and let it rest for 10 to 15 minutes before carving. Serve with the green sauce.