通义千问数学模型是专门用于数学解题的语言模型,致力于解决复杂、具有挑战性的数学问题。
此模型目前主要支持英语,后续将推出中英双语版本。
模型概览
商业版
模型名称 | 上下文长度 | 最大输入 | 最大输出 | 输入成本 | 输出成本 | 免费额度 |
(Token数) | (每千Token) | |||||
qwen-math-plus | 4,096 | 3,072 | 3,072 | 0.004元 | 0.012元 | 100万Token 有效期:百炼开通后180天内 |
qwen-math-plus-latest | 0.004元 | 0.012元 | ||||
qwen-math-plus-0919 | 0.004元 | 0.012元 | ||||
qwen-math-plus-0816 | 0.004元 | 0.012元 | ||||
qwen-math-turbo | 0.002元 | 0.006元 | ||||
qwen-math-turbo-latest | 0.002元 | 0.006元 | ||||
qwen-math-turbo-0919 | 0.002元 | 0.006元 |
开源版
模型名称 | 上下文长度 | 最大输入 | 最大输出 | 输入成本 | 输出成本 | 免费额度 |
(Token数) | (每千Token) | |||||
qwen2.5-math-72b-instruct | 4,096 | 3,072 | 3,072 | 0.004元 | 0.012元 | 100万Token 有效期:百炼开通后180天内 |
qwen2.5-math-7b-instruct | 0.001元 | 0.002元 | ||||
qwen2.5-math-1.5b-instruct | 限时免费 | |||||
qwen2-math-72b-instruct | 0.004元 | 0.012元 | ||||
qwen2-math-7b-instruct | 0.001元 | 0.002元 | ||||
qwen2-math-1.5b-instruct | 目前仅供免费体验。 免费额度用完后不可调用,敬请关注后续动态。 |
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{}."。
关于模型的限流条件,请参见限流。
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。
OpenAI兼容
您可以通过OpenAI SDK或OpenAI兼容的HTTP方式调用通义千问数学模型。
Python
示例代码
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()
返回结果
{
"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
示例代码
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 $4x+5 = 6x+7$."
}
]
}'
返回结果
{
"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"
}
DashScope
您可以通过DashScope SDK或HTTP方式调用通义千问模型,体验单轮对话的功能。
Python
示例代码
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()
返回结果
{
"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
}
}
Java
示例代码
// 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);
}
}
返回结果
{
"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
示例代码
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"
}
}'
返回结果
{
"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"
}
常见问题
如何利用通义千问数学模型解答图片中的数学问题?
通义千问数学模型暂不支持图片识别功能。
API参考
关于通义千问数学模型的输入与输出参数,请参考通义千问。