数学能力

商业版

开源版

qwen-math-plus-latest、qwen-math-plus-0919、qwen-math-turbo、qwen-math-turbo-latest、qwen-math-turbo-0919、qwen2.5-math模型的默认System Message为"Please reason step by step, and put your final answer within \\\\boxed{}."。

示例代码

您需要已获取API Key并配置API Key到环境变量。如果通过OpenAI SDK或DashScope SDK进行调用，还需要安装SDK。

通义千问数学模型擅长解决英文数学类问题，在您的输入问题中请使用LaTex表示数学符号或公式，如：

$x$ 表示数学符号
$4x+5 = 6x+7$ 表示数学公式

此处以一元一次方程为例，向您展示通过OpenAI或者DashScope的方式体验通义千问数学模型在数学问题上的能力。

from openai import OpenAI
import os

def get_response():
    client = OpenAI(
        api_key=os.getenv("DASHSCOPE_API_KEY"), # 如果您没有配置环境变量，请在此处用您的API Key进行替换
        base_url="https://dashscope.aliyuncs.com/compatible-mode/v1",  # 填写DashScope服务的base_url
    )
    completion = client.chat.completions.create(
        model="qwen2-math-72b-instruct",
        messages=[
            {'role': 'system', 'content': 'You are a helpful assistant.'},
            {'role': 'user', 'content': 'Find the value of $x$ that satisfies the equation $4x+5 = 6x+7$.'}]
        )
    print(completion.model_dump_json())

if __name__ == '__main__':
    get_response()

{
  "id": "chatcmpl-3ddf85f7-71c1-9fef-9c95-22671565895a",
  "choices": [
    {
      "finish_reason": "stop",
      "index": 0,
      "logprobs": null,
      "message": {
        "content": "To solve the equation \\(4x + 5 = 6x + 7\\), we will follow a step-by-step approach to isolate the variable \\(x\\).\n\n1. **Start with the given equation:**\n   \\[\n   4x + 5 = 6x + 7\n   \\]\n\n2. **Subtract \\(4x\\) from both sides to eliminate \\(x\\) from the left side:**\n   \\[\n   4x + 5 - 4x = 6x + 7 - 4x\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   5 = 2x + 7\n   \\]\n\n3. **Subtract 7 from both sides to isolate the term with \\(x\\) on the right side:**\n   \\[\n   5 - 7 = 2x + 7 - 7\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -2 = 2x\n   \\]\n\n4. **Divide both sides by 2 to solve for \\(x\\):**\n   \\[\n   \\frac{-2}{2} = \\frac{2x}{2}\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -1 = x\n   \\]\n\n5. **Write the final answer:**\n   \\[\n   \\boxed{-1}\n   \\]\n\nThus, the value of \\(x\\) that satisfies the equation \\(4x + 5 = 6x + 7\\) is \\(\\boxed{-1}\\).",
        "refusal": null,
        "role": "assistant",
        "function_call": null,
        "tool_calls": null
      }
    }
  ],
  "created": 1724068397,
  "model": "qwen2-math-72b-instruct",
  "object": "chat.completion",
  "service_tier": null,
  "system_fingerprint": null,
  "usage": {
    "completion_tokens": 331,
    "prompt_tokens": 42,
    "total_tokens": 373
  }
}

curl --location "https://dashscope.aliyuncs.com/compatible-mode/v1/chat/completions" \
--header "Authorization: Bearer $DASHSCOPE_API_KEY" \
--header "Content-Type: application/json" \
--data '{
    "model": "qwen2-math-72b-instruct",
    "messages": [
        {
            "role": "system",
            "content": "You are a helpful assistant."
        },
        {
            "role": "user", 
            "content": "Find the value of $x$ that satisfies the equation $4x+5 = 6x+7$."
        }
    ]
}'

{
  "choices": [
    {
      "message": {
        "role": "assistant",
        "content": "To solve the equation \\(4x + 5 = 6x + 7\\), we will follow a step-by-step approach to isolate the variable \\(x\\).\n\n1. **Start with the given equation:**\n   \\[\n   4x + 5 = 6x + 7\n   \\]\n\n2. **Subtract \\(4x\\) from both sides to eliminate \\(x\\) from the left side:**\n   \\[\n   4x + 5 - 4x = 6x + 7 - 4x\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   5 = 2x + 7\n   \\]\n\n3. **Subtract 7 from both sides to isolate the term with \\(x\\) on the right side:**\n   \\[\n   5 - 7 = 2x + 7 - 7\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -2 = 2x\n   \\]\n\n4. **Divide both sides by 2 to solve for \\(x\\):**\n   \\[\n   \\frac{-2}{2} = \\frac{2x}{2}\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -1 = x\n   \\]\n\n5. **Write the final answer:**\n   \\[\n   \\boxed{-1}\n   \\]\n\nThus, the value of \\(x\\) that satisfies the equation \\(4x + 5 = 6x + 7\\) is \\(\\boxed{-1}\\)."
      },
      "finish_reason": "stop",
      "index": 0,
      "logprobs": null
    }
  ],
  "object": "chat.completion",
  "usage": {
    "prompt_tokens": 42,
    "completion_tokens": 331,
    "total_tokens": 373
  },
  "created": 1724068476,
  "system_fingerprint": null,
  "model": "qwen2-math-72b-instruct",
  "id": "chatcmpl-dc1cca46-dbe1-9543-a3fe-f0db8d05141e"
}

import random
from http import HTTPStatus
import dashscope


def call_with_messages():
    messages = [
        {'role': 'user', 'content': 'Find the value of $x$ that satisfies the equation $4x+5 = 6x+7$.'}]
    response = dashscope.Generation.call(
        model='qwen2-math-72b-instruct',
        messages=messages,
        # 设置result_format为message格式
        result_format='message',  
    )
    if response.status_code == HTTPStatus.OK:
        print(response)
    else:
        print('Request id: %s, Status code: %s, error code: %s, error message: %s' % (
            response.request_id, response.status_code,
            response.code, response.message
        ))


if __name__ == '__main__':
    call_with_messages()
    

{
  "status_code": 200,
  "request_id": "021f9c99-fcc6-9a48-847f-45d9db78ea65",
  "code": "",
  "message": "",
  "output": {
    "text": null,
    "finish_reason": null,
    "choices": [
      {
        "finish_reason": "stop",
        "message": {
          "role": "assistant",
          "content": "To solve the equation \\(4x + 5 = 6x + 7\\), we will follow a step-by-step approach to isolate the variable \\(x\\).\n\n1. **Start with the given equation:**\n   \\[\n   4x + 5 = 6x + 7\n   \\]\n\n2. **Subtract \\(4x\\) from both sides to eliminate \\(x\\) from the left side:**\n   \\[\n   4x + 5 - 4x = 6x + 7 - 4x\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   5 = 2x + 7\n   \\]\n\n3. **Subtract 7 from both sides to isolate the term with \\(x\\) on the right side:**\n   \\[\n   5 - 7 = 2x + 7 - 7\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -2 = 2x\n   \\]\n\n4. **Divide both sides by 2 to solve for \\(x\\):**\n   \\[\n   \\frac{-2}{2} = \\frac{2x}{2}\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -1 = x\n   \\]\n\n5. **Write the final answer:**\n   \\[\n   \\boxed{-1}\n   \\]\n\nThus, the value of \\(x\\) that satisfies the equation \\(4x + 5 = 6x + 7\\) is \\(\\boxed{-1}\\)."
        }
      }
    ]
  },
  "usage": {
    "input_tokens": 31,
    "output_tokens": 331,
    "total_tokens": 362
  }
}

// Copyright (c) Alibaba, Inc. and its affiliates.

import java.util.Arrays;
import com.alibaba.dashscope.aigc.generation.Generation;
import com.alibaba.dashscope.aigc.generation.GenerationResult;
import com.alibaba.dashscope.aigc.generation.models.QwenParam;
import com.alibaba.dashscope.common.Message;
import com.alibaba.dashscope.common.Role;
import com.alibaba.dashscope.exception.ApiException;
import com.alibaba.dashscope.exception.InputRequiredException;
import com.alibaba.dashscope.exception.NoApiKeyException;

public class Main {
    public static void callWithMessage()
            throws NoApiKeyException, ApiException, InputRequiredException {
        Generation gen = new Generation();
        Message userMsg = Message.builder().role(Role.USER.getValue()).content("Find the value of $x$ that satisfies the equation $4x+5 = 6x+7$.").build();
        QwenParam param =
                QwenParam.builder().model("qwen2-math-72b-instruct").messages(Arrays.asList(userMsg))
                        .resultFormat(QwenParam.ResultFormat.MESSAGE)
                        .build();
        GenerationResult result = gen.call(param);
        System.out.println(result);
    }


    public static void main(String[] args){
        try {
            callWithMessage();
        } catch (ApiException | NoApiKeyException | InputRequiredException e) {
            System.out.println(e.getMessage());
        }
        System.exit(0);
    }
}

{
  "requestId": "a9f3d0b9-41b0-9d49-8cb0-158974a1bdae",
  "usage": {
    "input_tokens": 31,
    "output_tokens": 331,
    "total_tokens": 362
  },
  "output": {
    "choices": [
      {
        "finish_reason": "stop",
        "message": {
          "role": "assistant",
          "content": "To solve the equation \\(4x + 5 = 6x + 7\\), we will follow a step-by-step approach to isolate the variable \\(x\\).\n\n1. **Start with the given equation:**\n   \\[\n   4x + 5 = 6x + 7\n   \\]\n\n2. **Subtract \\(4x\\) from both sides to eliminate \\(x\\) from the left side:**\n   \\[\n   4x + 5 - 4x = 6x + 7 - 4x\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   5 = 2x + 7\n   \\]\n\n3. **Subtract 7 from both sides to isolate the term with \\(x\\) on the right side:**\n   \\[\n   5 - 7 = 2x + 7 - 7\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -2 = 2x\n   \\]\n\n4. **Divide both sides by 2 to solve for \\(x\\):**\n   \\[\n   \\frac{-2}{2} = \\frac{2x}{2}\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -1 = x\n   \\]\n\n5. **Write the final answer:**\n   \\[\n   \\boxed{-1}\n   \\]\n\nThus, the value of \\(x\\) that satisfies the equation \\(4x + 5 = 6x + 7\\) is \\(\\boxed{-1}\\)."
        }
      }
    ]
  }
}

curl --location "https://dashscope.aliyuncs.com/api/v1/services/aigc/text-generation/generation" \
--header "Authorization: Bearer $DASHSCOPE_API_KEY" \
--header "Content-Type: application/json" \
--data '{
    "model": "qwen2-math-72b-instruct",
    "input":{
        "messages":[      
            {
                "role": "system",
                "content": "You are a helpful assistant."
            },
            {
                "role": "user",
                "content": "Find the value of $x$ that satisfies the equation $4x+5 = 6x+7$."
            }
        ]
    },
    "parameters": {
        "result_format": "message"
    }
}'

{
  "output": {
    "choices": [
      {
        "finish_reason": "stop",
        "message": {
          "role": "assistant",
          "content": "To solve the equation \\(4x + 5 = 6x + 7\\), we will follow a step-by-step approach to isolate the variable \\(x\\).\n\n1. **Start with the given equation:**\n   \\[\n   4x + 5 = 6x + 7\n   \\]\n\n2. **Subtract \\(4x\\) from both sides to eliminate \\(x\\) from the left side:**\n   \\[\n   4x + 5 - 4x = 6x + 7 - 4x\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   5 = 2x + 7\n   \\]\n\n3. **Subtract 7 from both sides to isolate the term with \\(x\\) on the right side:**\n   \\[\n   5 - 7 = 2x + 7 - 7\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -2 = 2x\n   \\]\n\n4. **Divide both sides by 2 to solve for \\(x\\):**\n   \\[\n   \\frac{-2}{2} = \\frac{2x}{2}\n   \\]\n   Simplifying both sides, we get:\n   \\[\n   -1 = x\n   \\]\n\n5. **Write the final answer:**\n   \\[\n   \\boxed{-1}\n   \\]\n\nThus, the value of \\(x\\) that satisfies the equation \\(4x + 5 = 6x + 7\\) is \\(\\boxed{-1}\\)."
        }
      }
    ]
  },
  "usage": {
    "total_tokens": 373,
    "output_tokens": 331,
    "input_tokens": 42
  },
  "request_id": "ec5d01f6-3b78-95f2-a300-d01a601bacdf"
}

Partial Mode

如果您希望通义千问数学模型能够严格地以指定前缀为基础来生成文本，可以使用Partial Mode。您输入的messages数组中最后一个message需要为assistant message，并且符合以下格式：

{
    "role": "assistant",
    "content": "您指定的前缀",
    "partial": true
}

当前支持的数学模型为qwen-math-plus、qwen-math-plus-latest、qwen-math-plus-0919、qwen-math-turbo、qwen-math-turbo-latest、qwen-math-turbo-0919与qwen2.5-math系列模型。

import os
from openai import OpenAI


client = OpenAI(
    api_key=os.getenv("DASHSCOPE_API_KEY"), # 如果您没有配置环境变量，请在此处用您的API Key进行替换
    base_url="https://dashscope.aliyuncs.com/compatible-mode/v1",  # 填写DashScope服务的base_url
)
completion = client.chat.completions.create(
    model="qwen-math-plus",
    messages=[{
        "role": "user",
        "content": "请按照应用题的格式解答问题。“斐波那契数列前10位是多少”"
    },
    {
        "role": "assistant",
        "content": "解：",
        "partial": True
    }]
    )
print(completion.choices[0].message.content)

斐波那契数列的定义是：数列的前两个数是0和1，之后的每个数是前两个数的和。根据这个定义，我们可以写出数列的前10位。

1. 第1位：0
2. 第2位：1
3. 第3位：0 + 1 = 1
4. 第4位：1 + 1 = 2
5. 第5位：1 + 2 = 3
6. 第6位：2 + 3 = 5
7. 第7位：3 + 5 = 8
8. 第8位：5 + 8 = 13
9. 第9位：8 + 13 = 21
10. 第10位：13 + 21 = 34

因此，斐波那契数列的前10位是：0, 1, 1, 2, 3, 5, 8, 13, 21, 34。

\boxed{0, 1, 1, 2, 3, 5, 8, 13, 21, 34}

curl -X POST https://dashscope.aliyuncs.com/compatible-mode/v1/chat/completions \
-H "Authorization: Bearer $DASHSCOPE_API_KEY" \
-H "Content-Type: application/json" \
-d '{
    "model": "qwen-math-plus",
    "messages": [{
        "role": "user",
        "content": "请按照应用题的格式解答问题。“斐波那契数列前10位是多少”"
    },
    {
        "role": "assistant",
        "content": "解：",
        "partial": true
    }]
}'

{
    "choices": [
        {
            "message": {
                "role": "assistant",
                "content": "斐波那契数列的定义是：数列的前两个数是0和1，之后的每个数是前两个数的和。根据这个定义，我们可以写出数列的前10位。\n\n1. 第1位：0\n2. 第2位：1\n3. 第3位：0 + 1 = 1\n4. 第4位：1 + 1 = 2\n5. 第5位：1 + 2 = 3\n6. 第6位：2 + 3 = 5\n7. 第7位：3 + 5 = 8\n8. 第8位：5 + 8 = 13\n9. 第9位：8 + 13 = 21\n10. 第10位：13 + 21 = 34\n\n因此，斐波那契数列的前10位是：0, 1, 1, 2, 3, 5, 8, 13, 21, 34。\n\n\\boxed{0, 1, 1, 2, 3, 5, 8, 13, 21, 34}"
            },
            "finish_reason": "stop",
            "index": 0,
            "logprobs": null
        }
    ],
    "object": "chat.completion",
    "usage": {
        "prompt_tokens": 31,
        "completion_tokens": 264,
        "total_tokens": 295
    },
    "created": 1731900686,
    "system_fingerprint": null,
    "model": "qwen-math-plus",
    "id": "chatcmpl-6ffcc74a-7a29-9b4b-8da1-88559f800507"
}

import os
import dashscope

messages = [{
    "role": "user",
    "content": "请按照应用题的格式解答问题。“斐波那契数列前10位是多少”"
},
{
    "role": "assistant",
    "content": "解：",
    "partial": True
}]
response = dashscope.Generation.call(
    # 若没有配置环境变量，请用百炼API Key将下行替换为：api_key="sk-xxx",
    api_key=os.getenv("DASHSCOPE_API_KEY"),
    model='qwen-math-plus',
    messages=messages,
    result_format='message',  
)

print(response.output.choices[0].message.content)

斐波那契数列的定义是：数列的前两个数是0和1，之后的每个数是前两个数的和。根据这个定义，我们可以写出数列的前10位。

1. 第1位：0
2. 第2位：1
3. 第3位：0 + 1 = 1
4. 第4位：1 + 1 = 2
5. 第5位：1 + 2 = 3
6. 第6位：2 + 3 = 5
7. 第7位：3 + 5 = 8
8. 第8位：5 + 8 = 13
9. 第9位：8 + 13 = 21
10. 第10位：13 + 21 = 34

因此，斐波那契数列的前10位是：0, 1, 1, 2, 3, 5, 8, 13, 21, 34。

\boxed{0, 1, 1, 2, 3, 5, 8, 13, 21, 34}

curl -X POST "https://dashscope.aliyuncs.com/api/v1/services/aigc/text-generation/generation" \
-H "Authorization: Bearer $DASHSCOPE_API_KEY" \
-H "Content-Type: application/json" \
-d '{
    "model": "qwen-math-plus",
    "input":{
        "messages":[{
            "role": "user",
            "content": "请按照应用题的格式解答问题。“斐波那契数列前10位是多少”"
        },
        {
            "role": "assistant",
            "content": "解：",
            "partial": true
        }]
    },
    "parameters": {
        "result_format": "message"
    }
}'

{
    "output": {
        "choices": [
            {
                "finish_reason": "stop",
                "message": {
                    "role": "assistant",
                    "content": "斐波那契数列的定义是：数列的前两个数是0和1，之后的每个数是前两个数的和。根据这个定义，我们可以写出数列的前10位。\n\n1. 第1位：0\n2. 第2位：1\n3. 第3位：0 + 1 = 1\n4. 第4位：1 + 1 = 2\n5. 第5位：1 + 2 = 3\n6. 第6位：2 + 3 = 5\n7. 第7位：3 + 5 = 8\n8. 第8位：5 + 8 = 13\n9. 第9位：8 + 13 = 21\n10. 第10位：13 + 21 = 34\n\n因此，斐波那契数列的前10位是：0, 1, 1, 2, 3, 5, 8, 13, 21, 34。\n\n\\boxed{0, 1, 1, 2, 3, 5, 8, 13, 21, 34}"
                }
            }
        ]
    },
    "usage": {
        "total_tokens": 295,
        "output_tokens": 264,
        "input_tokens": 31
    },
    "request_id": "4c7833e2-c17e-993f-a8ee-97103816a4c6"
}

错误码

如果模型调用失败并返回报错信息，请参见错误码进行解决。