Find Cubes in List

Write a Python function `cube_nums(nums)` that takes a list of integers `nums` as input and returns a new list containing the cubes of each integer in the input list.

#### Example Usage
```python [main.nopy]
print(cube_nums([1, 2, 3, 4, 5]))  # Output: [1, 8, 27, 64, 125]
print(cube_nums([10, 20, 30]))     # Output: [1000, 8000, 27000]
print(cube_nums([12, 15]))        # Output: [1728, 3375]
```

#### Constraints
- The input list will only contain integers.
- The function should return a new list without modifying the original input list.
def cube_nums(nums):
    """
    Calculate the cube of each number in the input list.

    Args:
        nums (list): A list of integers.

    Returns:
        list: A list containing the cubes of the input integers.
    """
    # Replace the following line with your implementation
    pass
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