renaming

math-tutor/backend/app/deterministic_services/orchestrator.py

 from app.deterministic_services import context_store, retrieval_service, tool_logging
 from app.tools import math_tool
-from app.LLM_services import hint_tool, decision_tool, math_intent
+from app.LLM_services import hint_LLM, decision_LLM, math_intent_LLM
 
 
 def _append_tool_log(tool_log: list[dict], name: str, args: dict, response: object) -> None:
@@ -16,7 +16,7 @@ def _bootstrap_context(sheet: dict, query_text: str, tool_log: list[dict]) -> No
     )
     _append_tool_log(tool_log, "retrieve_context", {"query": query_text}, {"context": context, "sources": sources})
 
-    math_request = math_intent.extract_math_request(query_text)
+    math_request = math_intent_LLM.extract_math_request(query_text)
     if math_request:
         solution = math_tool.sympy_solve(**math_request)
         context_store.add_math_solution(
@@ -56,7 +56,7 @@ def run_chat(messages: list[dict], draft: str | None = None) -> dict:
 
     history_text = context_store.format_history(messages)
     sheet_text = context_store.format_sheet(sheet)
-    decision = decision_tool.needs_more_context(history_text, sheet_text)
+    decision = decision_LLM.needs_more_context(history_text, sheet_text)
     context_store.add_decision(sheet, decision)
 
     if decision.get("needs_more_context"):
@@ -69,7 +69,7 @@ def run_chat(messages: list[dict], draft: str | None = None) -> dict:
         "history": history_text,
         "context_sheet": sheet_text,
     }
-    reply = hint_tool.generate_hint(**hint_args)
+    reply = hint_LLM.generate_hint(**hint_args)
     context_store.add_tool_output(sheet, {"name": "generate_hint", "arguments": hint_args, "response": reply})
     _append_tool_log(tool_log, "generate_hint", hint_args, reply)