```json
{
  'sym_variables': [
    ('x1', 'pansies'), 
    ('x2', 'cherry trees'), 
    ('x3', 'agave'), 
    ('x4', 'petunias'), 
    ('x5', 'cucumber vines')
  ], 
  'objective_function': 'max x1 + x2 + x3 + x4 + x5',
  'constraints': [
    'x1 + x2 >= 32',
    'x2 + x4 >= 41',
    'x2 + x5 >= 29',
    'x3 + x4 >= 18',
    'x3 + x5 >= 19',
    'x2 + x3 >= 53',
    'x4 + x5 >= 26',
    'x1 + x4 + x5 >= 41',
    'x1**2 + x3**2 + x5**2 >= 41',
    'x1**2 + x2**2 + x5**2 >= 41',
    'x2 + x3 + x4 >= 38',
    'x3 + x4 + x5 >= 38',
    'x1 + x3 + x5 >= 35',
    'x1 + x2 + x5 >= 35',
    'x1**2 + x4**2 <= 201',
    'x1 + x2 <= 116',
    'x1 + x2 + x3 + x4 + x5 <= 274'
  ]
}
```

```python
from gurobipy import *

# Create a new model
m = Model("Optimization Problem")

# Define the symbolic variables
x1, x2, x3, x4, x5 = m.addVars(5, vtype=GRB.INTEGER)

# Objective function: maximize the sum of all variables
m.setObjective(x1 + x2 + x3 + x4 + x5, GRB.MAXIMIZE)

# Constraints:
m.addConstr(x1 + x2 >= 32)
m.addConstr(x2 + x4 >= 41)
m.addConstr(x2 + x5 >= 29)
m.addConstr(x3 + x4 >= 18)
m.addConstr(x3 + x5 >= 19)
m.addConstr(x2 + x3 >= 53)
m.addConstr(x4 + x5 >= 26)
m.addConstr(x1 + x4 + x5 >= 41)
m.addConstr(x1**2 + x3**2 + x5**2 >= 41)
m.addConstr(x1**2 + x2**2 + x5**2 >= 41)
m.addConstr(x2 + x3 + x4 >= 38)
m.addConstr(x3 + x4 + x5 >= 38)
m.addConstr(x1 + x3 + x5 >= 35)
m.addConstr(x1 + x2 + x5 >= 35)
m.addConstr(x1**2 + x4**2 <= 201)
m.addConstr(x1 + x2 <= 116)
m.addConstr(x1 + x2 + x3 + x4 + x5 <= 274)

# Solve the model
m.optimize()
```