Update app.py
Browse files
app.py
CHANGED
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@@ -4,310 +4,282 @@ from huggingface_hub import InferenceClient
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from datasets import load_dataset
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import random
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import re
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import sympy as sp
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# Global datasets
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math_samples =
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def load_sample_problems():
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"""Load sample problems
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global math_samples
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if math_samples is not None:
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return math_samples
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samples = []
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try:
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for i, item in enumerate(gsm8k["train"]):
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samples.append(item["question"])
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gsm_count += 1
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if gsm_count >= 50:
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break
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# Fineweb-edu (educational text - extract math-like questions)
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fw = load_dataset("HuggingFaceFW/fineweb-edu", name="sample-10BT", split="train", streaming=True)
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fw_count = 0
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for item in fw:
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text_lower = item['text'].lower()
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if any(
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samples.append(question + " (Solve this math problem.)")
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fw_count += 1
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if fw_count >= 20:
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break
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ds = load_dataset("HuggingFaceH4/ultrachat_200k", streaming=True)
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ds_count = 0
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for item in ds:
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if len(item['messages']) > 0:
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content = item['messages'][0]['content'].lower()
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if any(
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samples.append(user_msg)
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ds_count += 1
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if ds_count >= 20:
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break
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except Exception as e:
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print(f"⚠️ Dataset error: {e}
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math_samples =
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"If log₂(x) + log₂(x+6) = 4, find the value of x.",
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"Find the limit: lim(x->0) (sin(x)/x)",
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"Solve the system: x + 2y = 7, 3x - y = 4",
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"Calculate the integral of sin(x) from 0 to pi.",
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"What is the probability of rolling a 6 on a die 3 times in a row?"
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]
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return math_samples
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def
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"""
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return
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- Multiple solution approaches when applicable
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- Proper mathematical notation and terminology using LaTeX
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- Verification of answers through different methods
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- Calculus (Limits, Derivatives, Integrals)
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- Statistics, Probability, and Data Analysis
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- Competition Mathematics (AMC, AIME level)
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1.
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2.
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3.
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4.
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5. **Alternative Methods** - Mention other possible approaches
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**LaTeX
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- Box
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- Fractions:
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- Limits:
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- Derivatives: \frac{d}{dx} or f'(x)
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def render_latex(text):
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"""
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if not text:
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return text
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# Clean up any escaped % or special chars for Markdown compatibility
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text = re.sub(r'\\%', '%', text)
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except Exception as e:
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print(f"⚠️ LaTeX error: {e}")
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return text
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def try_sympy_compute(message):
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"""
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x = sp.Symbol('x')
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match = re.search(r'(?:
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if match:
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expr_str, lower, upper = match.groups()
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print(f"⚠️ SymPy integral error: {e}")
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return None
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# Handle derivatives with inv_trig_style
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elif 'derivative' in message_lower:
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match = re.search(r'derivative of (.+)', message_lower)
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if match:
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expr_str = match.group(1)
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try:
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expr = sp.sympify(expr_str.replace('^', '**'))
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result = sp.diff(expr, x)
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# Advanced LaTeX: power style for inv trig, fold short frac
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return r'\boxed{' + sp.latex(result, inv_trig_style='power', fold_short_frac=True) + r'}'
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except Exception as e:
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print(f"⚠️ SymPy derivative error: {e}")
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return None
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# Handle limits
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elif 'limit' in message_lower or 'lim' in message_lower:
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match = re.search(r'(?:limit|lim) (.+?) as (.+?) to (.+)', message_lower)
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if match:
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expr_str
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print(f"⚠️ SymPy limit error: {e}")
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return None
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# Handle triangle area (Heron's formula)
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elif 'area of triangle' in message_lower:
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match = re.search(r'(\d+)[ -](\d+)[ -](\d+)', message_lower) # Matches 5-12-13 or 5 12 13
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if match:
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a, b, c = map(float, match.groups())
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print(f"⚠️ SymPy area error: {e}")
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return None
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# Handle simple matrices (e.g., "matrix [[1,2],[3,4]]")
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elif 'matrix' in message_lower:
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match = re.search(r'matrix \[\[(.+?)\]\]', message_lower) # Basic parsing; extend as needed
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if match:
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try:
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elements = [list(map(sp.sympify, row.split(','))) for row in match.group(1).split('],[')]
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m = sp.Matrix(elements)
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# Advanced LaTeX: custom delimiters and matrix style
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return sp.latex(m, mat_delim='[', mat_str='bmatrix')
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except Exception as e:
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print(f"⚠️ SymPy matrix error: {e}")
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return None
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return None
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def respond(message, history, system_message, max_tokens, temperature, top_p):
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"""
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client = InferenceClient(model="Qwen/Qwen2.5-Math-7B-Instruct")
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messages = [{"role": "system", "content": system_message}]
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# Iterate over history dicts and add user/assistant pairs
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for msg in history:
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messages.append({"role": "user", "content": msg["content"]})
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elif msg["role"] == "assistant":
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messages.append({"role": "assistant", "content": msg["content"]})
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messages.append({"role": "user", "content": message})
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try:
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messages,
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max_tokens=max_tokens,
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temperature=temperature,
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top_p=top_p,
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# Add SymPy verification
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sympy_result = try_sympy_compute(message)
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if sympy_result:
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except Exception as e:
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def get_random_sample():
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"""Get
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return random.choice(math_samples)
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def show_help():
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return """**🧮 Math Help Tips:**
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1. Be Specific: "Find the derivative of x² + 3x" instead of "help with calculus"
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2. Request Steps: "Show me step-by-step how to solve..."
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3. Ask for Verification: "Check if my answer x=5 is correct"
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4. Alternative Methods: "What's another way to solve this integral?"
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5. Use Clear Notation: "lim(x->0)" for limits
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Pro Tip: Crank tokens to 1500+ for competition problems!"""
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# Simple Chatbot interface
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with gr.Blocks(title="🧮 Mathetics AI") as demo:
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gr.Markdown("# 🧮 **Mathetics AI** - Math Tutor\nPowered by Qwen 2.5-Math")
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chatbot = gr.Chatbot(height=500, label="Conversation"
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msg = gr.Textbox(placeholder="Ask a math problem...", show_label=False)
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with gr.Row():
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submit = gr.Button("Solve", variant="primary")
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clear = gr.Button("Clear", variant="secondary")
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sample = gr.Button("Random
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gr.Examples(
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examples=[
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["derivative of x
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["area of triangle 5
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["
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["
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],
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inputs=msg
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)
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history.append({"role": "user", "content": message})
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return history, ""
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def clear_chat():
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"""Clear the chat history and textbox."""
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return [], ""
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msg.submit(
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help_btn.click(lambda: (show_help(), gr.update(visible=True)), outputs=[help_text, help_text]).then(
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lambda: gr.update(visible=False), outputs=help_text
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)
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demo.launch()
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from datasets import load_dataset
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import random
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import re
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import sympy as sp
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import threading
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# Global datasets
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math_samples = []
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loading_status = {"loaded": False, "error": None}
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def load_sample_problems():
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"""Load sample problems asynchronously"""
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global math_samples, loading_status
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samples = []
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try:
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# GSM8K
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gsm8k = load_dataset("openai/gsm8k", "main", streaming=True, split="train")
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for i, item in enumerate(gsm8k):
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if i >= 30:
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break
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samples.append(item["question"])
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# Fineweb-edu
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fw = load_dataset("HuggingFaceFW/fineweb-edu", name="sample-10BT", split="train", streaming=True)
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fw_count = 0
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for item in fw:
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if fw_count >= 15:
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break
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text_lower = item['text'].lower()
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if any(w in text_lower for w in ['math', 'calculate', 'solve', 'equation']):
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q = item['text'][:120].strip()
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if len(q) > 20:
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samples.append(q + "...")
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fw_count += 1
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# Ultrachat
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ds = load_dataset("HuggingFaceH4/ultrachat_200k", streaming=True, split="train_sft")
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ds_count = 0
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for item in ds:
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if ds_count >= 15:
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break
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if len(item['messages']) > 0:
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content = item['messages'][0]['content'].lower()
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if any(w in content for w in ['math', 'solve', 'equation', 'calculate']):
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samples.append(item['messages'][0]['content'])
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ds_count += 1
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math_samples = samples if samples else get_fallback_samples()
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loading_status["loaded"] = True
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print(f"✅ Loaded {len(math_samples)} samples")
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except Exception as e:
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print(f"⚠️ Dataset error: {e}")
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math_samples = get_fallback_samples()
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loading_status["error"] = str(e)
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loading_status["loaded"] = True
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def get_fallback_samples():
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"""Extended fallback problems"""
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return [
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"Find the derivative of f(x) = 3x² + 2x - 1",
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"A triangle has sides 5, 12, and 13. What is its area?",
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"If log₂(x) + log₂(x+6) = 4, find x",
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"Calculate lim(x→0) sin(x)/x",
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"Solve: x + 2y = 7, 3x - y = 4",
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"Integrate sin(x) from 0 to π",
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"What is P(rolling three 6s in a row)?",
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"Simplify: (x² - 4)/(x - 2)",
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"Find the sum of 1 + 2 + 3 + ... + 100",
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"What is the 10th Fibonacci number?",
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"Calculate the area of a circle with radius 5",
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"Factor x² + 5x + 6",
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"Solve x² - 4x + 4 = 0",
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"Find tan(π/4)",
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"What is 15% of 240?",
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]
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# Start background loading
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threading.Thread(target=load_sample_problems, daemon=True).start()
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def create_math_system_message():
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"""System prompt for math tutoring"""
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return r"""You are Mathetics AI, an expert mathematics tutor.
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**Teaching Approach:**
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1. Understand the problem clearly
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2. Show step-by-step solutions with LaTeX
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3. Verify answers when possible
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4. Suggest alternative methods
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**LaTeX Formatting:**
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- Inline: $x^2 + y^2 = r^2$
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- Display: $$\int_0^\pi \sin(x)\,dx = 2$$
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- Box answers: $\boxed{42}$
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- Fractions: $\frac{a}{b}$
|
| 100 |
+
- Limits: $\lim_{x \to 0}$
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| 101 |
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| 102 |
+
Be clear, precise, and educational."""
|
| 103 |
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| 104 |
def render_latex(text):
|
| 105 |
+
"""Clean and normalize LaTeX"""
|
| 106 |
if not text:
|
| 107 |
return text
|
| 108 |
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| 109 |
+
# Convert LaTeX brackets to dollars
|
| 110 |
+
text = re.sub(r'\\\[(.*?)\\\]', r'$$\1$$', text, flags=re.DOTALL)
|
| 111 |
+
text = re.sub(r'\\\((.*?)\\\)', r'$\1$', text, flags=re.DOTALL)
|
| 112 |
+
|
| 113 |
+
# Fix boxed answers outside math mode
|
| 114 |
+
text = re.sub(r'(?<!\$)\\boxed\{([^}]+)\}(?!\$)', r'$\\boxed{\1}$', text)
|
| 115 |
+
|
| 116 |
+
# Convert equation environments
|
| 117 |
+
text = re.sub(r'\\begin\{equation\*?\}(.*?)\\end\{equation\*?\}', r'$$\1$$', text, flags=re.DOTALL)
|
| 118 |
+
|
| 119 |
+
# Remove duplicate $$
|
| 120 |
+
text = re.sub(r'\$\$+', '$$', text)
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|
| 121 |
|
| 122 |
return text
|
| 123 |
|
| 124 |
def try_sympy_compute(message):
|
| 125 |
+
"""Enhanced SymPy computation with better parsing"""
|
| 126 |
+
from sympy.parsing.sympy_parser import parse_expr, standard_transformations, implicit_multiplication_application
|
| 127 |
|
| 128 |
+
msg_lower = message.lower()
|
| 129 |
x = sp.Symbol('x')
|
| 130 |
+
transforms = standard_transformations + (implicit_multiplication_application,)
|
| 131 |
|
| 132 |
+
try:
|
| 133 |
+
# Definite integrals
|
| 134 |
+
match = re.search(r'int(?:egral)?(?:\s+of)?\s+(.+?)\s+from\s+(.+?)\s+to\s+(.+?)(?:\s|$)', msg_lower)
|
| 135 |
if match:
|
| 136 |
expr_str, lower, upper = match.groups()
|
| 137 |
+
expr = parse_expr(expr_str.replace('^', '**'), transformations=transforms)
|
| 138 |
+
result = sp.integrate(expr, (x, sp.sympify(lower.strip()), sp.sympify(upper.strip())))
|
| 139 |
+
return sp.latex(result, mode='plain')
|
| 140 |
+
|
| 141 |
+
# Derivatives
|
| 142 |
+
match = re.search(r'deriv(?:ative)?(?:\s+of)?\s+(.+?)(?:\s|$)', msg_lower)
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|
| 143 |
if match:
|
| 144 |
+
expr_str = match.group(1).strip()
|
| 145 |
+
expr = parse_expr(expr_str.replace('^', '**'), transformations=transforms)
|
| 146 |
+
result = sp.diff(expr, x)
|
| 147 |
+
return sp.latex(result, inv_trig_style='power')
|
| 148 |
+
|
| 149 |
+
# Limits
|
| 150 |
+
match = re.search(r'lim(?:it)?.*?(?:\()?(.+?)\s+(?:as\s+)?(?:x\s*)?(?:→|->|to)\s*(.+?)(?:\)|$)', msg_lower)
|
|
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|
| 151 |
if match:
|
| 152 |
+
expr_str, to_val = match.groups()
|
| 153 |
+
expr = parse_expr(expr_str.replace('^', '**'), transformations=transforms)
|
| 154 |
+
result = sp.limit(expr, x, sp.sympify(to_val.strip()))
|
| 155 |
+
return sp.latex(result)
|
| 156 |
+
|
| 157 |
+
# Triangle area (Heron's formula)
|
| 158 |
+
match = re.search(r'(\d+)[,\s-]+(\d+)[,\s-]+(\d+)', message)
|
| 159 |
+
if match and 'triangle' in msg_lower:
|
| 160 |
a, b, c = map(float, match.groups())
|
| 161 |
+
s = (a + b + c) / 2
|
| 162 |
+
area = sp.sqrt(s * (s-a) * (s-b) * (s-c))
|
| 163 |
+
return sp.latex(area.evalf())
|
| 164 |
+
|
| 165 |
+
except Exception as e:
|
| 166 |
+
print(f"⚠️ SymPy error: {e}")
|
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|
| 167 |
|
| 168 |
return None
|
| 169 |
|
| 170 |
def respond(message, history, system_message, max_tokens, temperature, top_p):
|
| 171 |
+
"""Streaming response with error handling"""
|
| 172 |
client = InferenceClient(model="Qwen/Qwen2.5-Math-7B-Instruct")
|
| 173 |
|
| 174 |
messages = [{"role": "system", "content": system_message}]
|
|
|
|
| 175 |
for msg in history:
|
| 176 |
+
messages.append({"role": msg["role"], "content": msg["content"]})
|
|
|
|
|
|
|
|
|
|
| 177 |
messages.append({"role": "user", "content": message})
|
| 178 |
|
| 179 |
try:
|
| 180 |
+
response_text = ""
|
| 181 |
+
for chunk in client.chat_completion(
|
| 182 |
messages,
|
| 183 |
max_tokens=max_tokens,
|
| 184 |
temperature=temperature,
|
| 185 |
top_p=top_p,
|
| 186 |
+
stream=True
|
| 187 |
+
):
|
| 188 |
+
if chunk.choices[0].delta.content:
|
| 189 |
+
response_text += chunk.choices[0].delta.content
|
| 190 |
+
yield render_latex(response_text)
|
| 191 |
|
| 192 |
+
# Add SymPy verification
|
| 193 |
sympy_result = try_sympy_compute(message)
|
| 194 |
if sympy_result:
|
| 195 |
+
response_text += f"\n\n**✓ Verified with SymPy:** $${sympy_result}$$"
|
| 196 |
+
yield render_latex(response_text)
|
| 197 |
+
|
| 198 |
except Exception as e:
|
| 199 |
+
error_msg = f"❌ **Error:** {str(e)}\n\nTry:\n- Simpler wording\n- Breaking into steps\n- Checking notation"
|
| 200 |
+
yield error_msg
|
| 201 |
|
| 202 |
def get_random_sample():
|
| 203 |
+
"""Get random sample with loading status"""
|
| 204 |
+
if not loading_status["loaded"]:
|
| 205 |
+
return "⏳ Loading samples..."
|
| 206 |
+
if not math_samples:
|
| 207 |
+
return get_fallback_samples()[0]
|
| 208 |
return random.choice(math_samples)
|
| 209 |
|
| 210 |
+
# Gradio Interface
|
| 211 |
+
with gr.Blocks(title="🧮 Mathetics AI", theme=gr.themes.Soft()) as demo:
|
| 212 |
+
gr.Markdown("# 🧮 **Mathetics AI**\n*Advanced Math Tutor powered by Qwen2.5-Math*")
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 213 |
|
| 214 |
+
chatbot = gr.Chatbot(height=500, type='messages', label="💬 Conversation")
|
| 215 |
+
msg = gr.Textbox(placeholder="Ask any math problem...", show_label=False, scale=4)
|
|
|
|
|
|
|
| 216 |
|
| 217 |
with gr.Row():
|
| 218 |
+
submit = gr.Button("🚀 Solve", variant="primary", scale=1)
|
| 219 |
+
clear = gr.Button("🗑️ Clear", variant="secondary", scale=1)
|
| 220 |
+
sample = gr.Button("🎲 Random", variant="secondary", scale=1)
|
| 221 |
+
|
| 222 |
+
with gr.Accordion("⚙️ Advanced Settings", open=False):
|
| 223 |
+
temp_slider = gr.Slider(0.1, 1.0, value=0.3, step=0.1, label="Temperature (creativity)")
|
| 224 |
+
tokens_slider = gr.Slider(256, 2048, value=1024, step=128, label="Max Tokens")
|
| 225 |
+
top_p_slider = gr.Slider(0.1, 1.0, value=0.85, step=0.05, label="Top-p (nucleus sampling)")
|
| 226 |
+
|
| 227 |
+
with gr.Accordion("💡 Help & Examples", open=False):
|
| 228 |
+
gr.Markdown("""
|
| 229 |
+
**Tips:**
|
| 230 |
+
- Be specific: "derivative of sin(2x)" not "help with calculus"
|
| 231 |
+
- Request steps: "show step-by-step"
|
| 232 |
+
- Use clear notation: `x^2` for powers, `lim x->0` for limits
|
| 233 |
+
|
| 234 |
+
**Examples:**
|
| 235 |
+
- Calculus: "Find ∫x² dx from 0 to 5"
|
| 236 |
+
- Algebra: "Solve x² + 5x + 6 = 0"
|
| 237 |
+
- Geometry: "Area of triangle with sides 3, 4, 5"
|
| 238 |
+
- Limits: "Calculate lim(x→0) sin(x)/x"
|
| 239 |
+
""")
|
| 240 |
|
| 241 |
gr.Examples(
|
| 242 |
examples=[
|
| 243 |
+
["Find the derivative of x² sin(x)"],
|
| 244 |
+
["Calculate the area of a triangle with sides 5, 12, 13"],
|
| 245 |
+
["Integrate x² from 0 to 2"],
|
| 246 |
+
["What is lim(x→0) sin(x)/x?"],
|
| 247 |
+
["Solve the equation x² - 5x + 6 = 0"],
|
| 248 |
],
|
| 249 |
inputs=msg
|
| 250 |
)
|
| 251 |
|
| 252 |
+
# Hidden system message (passed to respond)
|
| 253 |
+
system_msg = gr.State(create_math_system_message())
|
| 254 |
+
|
| 255 |
+
def chat_response(message, history, sys_msg, max_tok, temp, top_p):
|
| 256 |
+
"""Handle chat with streaming"""
|
| 257 |
history.append({"role": "user", "content": message})
|
| 258 |
+
|
| 259 |
+
# Create assistant message slot
|
| 260 |
+
history.append({"role": "assistant", "content": ""})
|
| 261 |
+
|
| 262 |
+
# Stream responses
|
| 263 |
+
for response in respond(message, history[:-1], sys_msg, max_tok, temp, top_p):
|
| 264 |
+
history[-1]["content"] = response
|
| 265 |
+
yield history, ""
|
| 266 |
+
|
| 267 |
return history, ""
|
| 268 |
|
| 269 |
def clear_chat():
|
|
|
|
| 270 |
return [], ""
|
| 271 |
|
| 272 |
+
msg.submit(
|
| 273 |
+
chat_response,
|
| 274 |
+
[msg, chatbot, system_msg, tokens_slider, temp_slider, top_p_slider],
|
| 275 |
+
[chatbot, msg]
|
|
|
|
|
|
|
| 276 |
)
|
| 277 |
+
submit.click(
|
| 278 |
+
chat_response,
|
| 279 |
+
[msg, chatbot, system_msg, tokens_slider, temp_slider, top_p_slider],
|
| 280 |
+
[chatbot, msg]
|
| 281 |
+
)
|
| 282 |
+
clear.click(clear_chat, outputs=[chatbot, msg])
|
| 283 |
+
sample.click(get_random_sample, outputs=msg)
|
| 284 |
|
| 285 |
demo.launch()
|