solve_algebraically
Solve algebraic equations symbolically for a specified variable across domains like complex, real, integers, or naturals. Outputs solutions in LaTeX format or error messages if invalid.
Instructions
Solves an equation (expression = 0) algebraically for a given variable.
Args:
expr_key: The key of the expression (previously introduced) to be solved.
solve_for_var_name: The name of the variable (previously introduced) to solve for.
domain: The domain to solve in: Domain.COMPLEX, Domain.REAL, Domain.INTEGERS, or Domain.NATURALS. Defaults to Domain.COMPLEX.
Returns:
A LaTeX string representing the set of solutions. Returns an error message string if issues occur.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| domain | No | complex | |
| expr_key | Yes | ||
| solve_for_var_name | Yes |
Input Schema (JSON Schema)
{
"$defs": {
"Domain": {
"enum": [
"complex",
"real",
"integers",
"naturals"
],
"title": "Domain",
"type": "string"
}
},
"properties": {
"domain": {
"$ref": "#/$defs/Domain",
"default": "complex"
},
"expr_key": {
"title": "Expr Key",
"type": "string"
},
"solve_for_var_name": {
"title": "Solve For Var Name",
"type": "string"
}
},
"required": [
"expr_key",
"solve_for_var_name"
],
"title": "solve_algebraicallyArguments",
"type": "object"
}