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README.md

@@ -1,12 +1,12 @@
 ---
-title: LanguageBridge MathFastAgent
-emoji: 🌍
+title: LanguageBridge — Math Fast Agent (SymPy)
+emoji: 🧮
 colorFrom: yellow
-colorTo: purple
+colorTo: blue
 sdk: gradio
-sdk_version: 5.49.1
+sdk_version: "4.44.1"
 app_file: app.py
 pinned: false
 ---
 
-Check out the configuration reference at https://huggingface.co/docs/hub/spaces-config-reference
+純 SymPy 的數學推理代理（不依賴 LLM），支援一次貼上長式、簡化、解一元/聯立方程。

app.py

@@ -0,0 +1,77 @@
+\
+import gradio as gr
+import sympy as sp
+
+TITLE = "LanguageBridge — Math Fast Agent (SymPy)"
+
+def solve_math(q: str):
+    q = (q or "").strip()
+    if not q:
+        return "請輸入算式或方程，例如：2x+3=11；或：sin(x)**2 + cos(x)**2；或：factor(x**2-9)"
+    try:
+        # 1) 如果像 "2x+3=11" 或 "x+y=3; x-y=1"
+        if "=" in q:
+            # 支援多行/分號；同時支援聯立
+            parts = [s.strip() for seg in q.split(";") for s in seg.split("\n")]
+            eqs = []
+            syms = set()
+            for s in parts:
+                if not s: 
+                    continue
+                left, right = s.split("=", 1)
+                eq = sp.Eq(sp.sympify(left), sp.sympify(right))
+                eqs.append(eq)
+                syms |= eq.free_symbols
+                syms |= eq.rhs.free_symbols if hasattr(eq, "rhs") else set()
+            if not syms:
+                # 預設一個 x
+                x = sp.symbols("x")
+                syms = {x}
+            sol = sp.solve(eqs, list(syms), dict=True)
+            if not sol:
+                return "無解或需要更多條件。"
+            # 格式化
+            lines = []
+            for i, s in enumerate(sol, 1):
+                lines.append(f"解 {i}: " + ", ".join([f"{k} = {sp.simplify(v)}" for k, v in s.items()]))
+            return "\n".join(lines)
+
+        # 2) 非方程：嘗試自動辨識可做的操作（簡化/因式分解/微分/積分…）
+        expr = sp.sympify(q)
+        # 嘗試：若像 “diff(sin(x), x)” 就直接回傳求導；否則做一輪常見操作建議
+        try:
+            simplified = sp.simplify(expr)
+        except Exception:
+            simplified = expr
+
+        tips = []
+        tips.append(f"簡化：{simplified}")
+        try:
+            fact = sp.factor(expr)
+            if fact != expr:
+                tips.append(f"因式分解：{fact}")
+        except Exception:
+            pass
+        try:
+            x = list(expr.free_symbols)[0] if expr.free_symbols else sp.symbols("x")
+            tips.append(f"對 {x} 微分：{sp.diff(expr, x)}")
+            tips.append(f"對 {x} 積分：{sp.integrate(expr, x)}")
+        except Exception:
+            pass
+        return "\n".join(tips) if tips else f"結果：{expr}"
+
+    except Exception as e:
+        return f"解析失敗：{e}"
+
+with gr.Blocks(title=TITLE) as demo:
+    gr.Markdown(f"## {TITLE}\n貼上算式（可多行 / 用分號 `;` 分隔）：")
+    with gr.Row():
+        q = gr.Textbox(lines=6, label="題目 / 算式（可含聯立方程）")
+    with gr.Row():
+        out = gr.Textbox(lines=10, label="輸出")
+    btn = gr.Button("送出 🚀")
+    btn.click(fn=solve_math, inputs=q, outputs=out)
+
+if __name__ == "__main__":
+    # 在 Colab 本機預覽一定要 share=True 才會印出 public URL
+    demo.launch(share=True)

requirements.txt

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+gradio==4.44.1
+sympy>=1.12
+huggingface_hub>=0.24.0