推理Token(Reasoning Tokens):将隐式思维过程显式化以提升模型的可解释性与控制力

推理Token:揭示模型思维,增强可控性

大家好,今天我们来聊聊一个在大型语言模型(LLMs)领域越来越重要的概念:推理Token(Reasoning Tokens)。随着LLMs能力日趋强大,我们不仅仅满足于它们给出正确答案,更希望了解它们是如何思考的,以及如何更好地控制它们的行为。推理Token正是在这个背景下应运而生的。

什么是推理Token?

简单来说,推理Token就是将LLM在解决问题时所进行的隐式思维过程显式地表达出来。传统的LLM通常直接给出最终答案,而我们无从得知它是如何一步步推理得到这个答案的。推理Token则通过插入一些特殊的Token,引导模型将中间步骤、逻辑推理、甚至思考过程中的不确定性也一并输出。

例如,如果我们要求模型解决一个数学问题,传统的模型可能直接输出答案“12”。而使用了推理Token的模型,可能会输出:

“首先,我们需要识别题目中的关键信息:加法和乘法。然后,根据运算优先级,先计算乘法 3 * 2 = 6。最后,将乘法结果与加数相加 6 + 6 = 12。因此,答案是12。”

这段输出中,“首先”,“然后”,“最后”,“因此”等词语以及中间的计算过程就是推理Token的体现。它们揭示了模型解决问题的步骤,让我们可以更清楚地理解模型的思维过程。

为什么需要推理Token?

推理Token的价值体现在以下几个方面:

  • 可解释性增强: 它可以帮助我们理解模型是如何得出结论的,从而更好地评估模型的可靠性和合理性。当模型犯错时,我们可以通过分析推理Token来定位错误的原因,例如错误的假设、错误的推理步骤等。
  • 可控性提升: 通过引导模型生成特定的推理Token,我们可以影响模型的思考方向和行为。例如,我们可以要求模型在给出答案之前先评估自己的不确定性,或者要求模型遵循某种特定的推理框架。
  • 调试和改进: 推理Token可以作为调试和改进模型的工具。通过分析模型生成的推理过程,我们可以发现模型存在的缺陷和不足,并有针对性地进行改进。
  • 知识迁移和学习: 通过观察模型如何使用推理Token解决问题,我们可以学习到一些有用的推理策略和技巧,并将其应用到其他领域。
  • 安全性提升: 在一些安全敏感的场景下,例如医疗诊断或金融决策,我们需要确保模型的决策过程是透明和可验证的。推理Token可以帮助我们实现这一目标,减少模型犯错的风险。

如何实现推理Token?

实现推理Token的方法有很多种,以下是一些常见的技术:

  1. Prompt Engineering: 这是最简单也是最常用的方法。通过精心设计的Prompt,引导模型生成包含推理过程的文本。例如,我们可以使用如下Prompt:

    prompt = """
    请详细解释如何解决以下问题,包括每一步的推理过程:
    问题:一个商店有3个苹果和2个梨。如果商店又进了3个苹果,那么商店现在有多少个苹果?
    答案:
    """

    通过这样的Prompt,我们可以引导模型生成包含推理过程的答案,例如:

    “首先,商店原来有3个苹果。然后,商店又进了3个苹果。最后,将原来的苹果数量和新进的苹果数量相加,3 + 3 = 6。因此,商店现在有6个苹果。”

  2. Fine-tuning: 通过在包含推理过程的数据集上对模型进行微调,可以使模型更擅长生成推理Token。例如,我们可以收集一些包含问题、推理过程和答案的数据,然后使用这些数据对模型进行微调。

    # 示例:使用Hugging Face Transformers库进行微调
    from transformers import AutoModelForCausalLM, AutoTokenizer, TrainingArguments, Trainer
    
    model_name = "gpt2"  # 可以替换为其他合适的模型
    tokenizer = AutoTokenizer.from_pretrained(model_name)
    model = AutoModelForCausalLM.from_pretrained(model_name)
    
    # 假设我们有一个包含问题、推理过程和答案的数据集
    # 数据的格式为: [{"question": "问题", "reasoning": "推理过程", "answer": "答案"}]
    # 这里我们用一个简单的例子代替
    train_data = [
        {"question": "一个商店有3个苹果和2个梨。如果商店又进了3个苹果,那么商店现在有多少个苹果?",
         "reasoning": "首先,商店原来有3个苹果。然后,商店又进了3个苹果。最后,将原来的苹果数量和新进的苹果数量相加,3 + 3 = 6。",
         "answer": "商店现在有6个苹果。"},
        {"question": "如果我有5个橙子,我吃了2个,还剩下多少个橙子?",
         "reasoning": "首先,我有5个橙子。然后,我吃了2个橙子。最后,将原来的橙子数量减去吃掉的橙子数量,5 - 2 = 3。",
         "answer": "我还剩下3个橙子。"}
    ]
    
    # 定义一个函数,将数据转换为模型可以接受的格式
    def prepare_train_features(examples):
        texts = [f"问题:{example['question']} 推理:{example['reasoning']} 答案:{example['answer']}" for example in examples]
        tokenized_examples = tokenizer(texts, truncation=True, padding="max_length", max_length=128)
        return tokenized_examples
    
    train_dataset = prepare_train_features(train_data)
    
    # 定义训练参数
    training_args = TrainingArguments(
        output_dir="./results",
        num_train_epochs=3,
        per_device_train_batch_size=1,
        save_steps=500,
        save_total_limit=2,
    )
    
    # 定义Trainer
    trainer = Trainer(
        model=model,
        args=training_args,
        train_dataset=train_dataset,
        tokenizer=tokenizer,
    )
    
    # 开始训练
    trainer.train()
    
    # 使用微调后的模型进行推理
    prompt = "问题:一个商店有4个苹果和3个梨。如果商店又进了2个苹果,那么商店现在有多少个苹果? 推理:"
    input_ids = tokenizer.encode(prompt, return_tensors="pt")
    output = model.generate(input_ids, max_length=200, num_return_sequences=1)
    generated_text = tokenizer.decode(output[0], skip_special_tokens=True)
    print(generated_text)

    这段代码演示了如何使用Hugging Face Transformers库对GPT-2模型进行微调,使其更擅长生成包含推理过程的文本。需要注意的是,这只是一个简单的示例,实际应用中需要更大的数据集和更复杂的训练策略。

  3. Reinforcement Learning: 使用强化学习来训练模型生成更合理的推理Token。例如,我们可以定义一个奖励函数,鼓励模型生成更清晰、更准确的推理过程。

    这种方法比较复杂,需要定义合适的奖励函数和训练策略。一个简单的例子是:如果模型的推理过程能够帮助模型得到正确的答案,就给予更高的奖励。

  4. Chain-of-Thought Prompting: 类似于Prompt Engineering,但更侧重于引导模型逐步进行推理。通过在Prompt中提供一些示例,展示如何一步步地解决问题,从而引导模型学习这种推理方式。

    
    prompt = """
    Q: Roger has 5 tennis balls. He buys 2 more cans of tennis balls. Each can has 3 tennis balls. How many tennis balls does he have now?
    A: Roger started with 5 balls. 2 cans of 3 tennis balls each is 2 * 3 = 6 tennis balls. So he has 5 + 6 = 11 tennis balls.
    Answer: 11
    
    Q: The cafeteria had 23 apples. If they used 20 to make a pie, how many apples are left?
    A: The cafeteria had 23 apples. After using 20 to make a pie there are 23 - 20 = 3 apples left.
    Answer: 3
    
    Q: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?
    A: There were 4 days from monday to thursday. 5 computers were added each day, so 4 * 5 = 20 computers were added. So now there are 9 + 20 = 29 computers.
    Answer: 29
    
    Q: Weng earns $12 an hour for babysitting. Yesterday, she just did 5 hours. How much money did she earn?
    A: Weng earns $12 an hour. She worked 5 hours. So she earned 12 * 5 = $60.
    Answer: 60
    
    Q: Olivia has $23. She bought five books for $3 each. How much money does she have left?
    A: Olivia started with $23. She bought 5 books for $3 each. So she spent 5 * 3 = $15. So she has 23 - 15 = $8.
    Answer: 8
    
    Q: Michael had 58 toy cars. He sold 29 of them. How many cars does he have left?
    A: Michael started with 58 cars. He sold 29 of them. So he has 58 - 29 = 29 cars left.
    Answer: 29
    
    Q: There are 15 trees in the grove. Grove workers planted trees in the grove today. Now there are 21 trees. How many trees did the grove workers plant today?
    A: There were initially 15 trees. Now there are 21 trees. So there must have been 21 - 15 = 6 trees planted.
    Answer: 6
    
    Q: Lisa is playing a video game. Lisa started with 100 points. She lost 27 points, then won 53 points. How many points does Lisa have now?
    A: Lisa started with 100 points. She lost 27 points, so she had 100 - 27 = 73 points. Then she won 53 points, so she has 73 + 53 = 126 points.
    Answer: 126
    
    Q: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
    A: Jason started with 20 lollipops. Now he has 12 lollipops. So he gave Denny 20 - 12 = 8 lollipops.
    Answer: 8
    
    Q: Daniel had 39 peaches. He ate 11 peaches. Then he picked 30 more peaches. How many peaches does Daniel have now?
    A: Daniel started with 39 peaches. He ate 11 peaches, so he had 39 - 11 = 28 peaches. Then he picked 30 more peaches, so he has 28 + 30 = 58 peaches.
    Answer: 58
    
    Q: There are 17 women and 28 men in the room. How many people are in the room?
    A: There are 17 women and 28 men in the room. So there are 17 + 28 = 45 people in the room.
    Answer: 45
    
    Q: A restaurant served 45 pizzas on monday. On tuesday, they served 13 pizzas. How many pizzas did they serve in total?
    A: The restaurant served 45 pizzas on monday. On tuesday, they served 13 pizzas. So they served 45 + 13 = 58 pizzas in total.
    Answer: 58
    
    Q: Sam has 22 green marbles, and 38 blue marbles. How many marbles does he have in total?
    A: Sam has 22 green marbles, and 38 blue marbles. So he has 22 + 38 = 60 marbles in total.
    Answer: 60
    
    Q: Michael has 18 dollars. Amy has 73 dollars. How much more money does Amy have than Michael?
    A: Michael has 18 dollars. Amy has 73 dollars. So Amy has 73 - 18 = 55 more dollars than Michael.
    Answer: 55
    
    Q: There were 65 students on the bus. At the bus stop, 17 students got off the bus. How many students are on the bus now?
    A: There were 65 students on the bus. At the bus stop, 17 students got off the bus. So there are 65 - 17 = 48 students on the bus.
    Answer: 48
    
    Q: Olivia has 23 stickers. She gave Melanie 15 stickers. How many stickers does Olivia have left?
    A: Olivia has 23 stickers. She gave Melanie 15 stickers. So Olivia has 23 - 15 = 8 stickers left.
    Answer: 8
    
    Q: Emily had 12 crayons. Her sister gave her 7 more. How many crayons does she have now?
    A: Emily started with 12 crayons. Her sister gave her 7 more. So she has 12 + 7 = 19 crayons.
    Answer: 19
    
    Q: Weng has 12 cents in her left pocket and 53 cents in her right pocket. How much money does she have in total?
    A: Weng has 12 cents in her left pocket and 53 cents in her right pocket. So she has 12 + 53 = 65 cents in total.
    Answer: 65
    
    Q: There are 49 pine trees currently in the park. Park workers will plant 38 more pine trees today. How many pine trees will the park have when the workers are finished?
    A: There are 49 pine trees currently in the park. Park workers will plant 38 more pine trees today. So there will be 49 + 38 = 87 pine trees when the workers are finished.
    Answer: 87
    
    Q: Jason went to the store. He bought 21 pencils, 27 erasers, and 14 rulers. How many items did Jason buy in all?
    A: Jason bought 21 pencils, 27 erasers, and 14 rulers. So he bought 21 + 27 + 14 = 62 items in all.
    Answer: 62
    
    Q: Michael is baking cookies. He baked 12 sugar cookies and 48 chocolate chip cookies. How many cookies did he bake in total?
    A: Michael baked 12 sugar cookies and 48 chocolate chip cookies. So he baked 12 + 48 = 60 cookies in total.
    Answer: 60
    
    Q: Daniel has 3 apples. Jessica has 3 apples. How many apples do they have together?
    A: Daniel has 3 apples. Jessica has 3 apples. So they have 3 + 3 = 6 apples together.
    Answer: 6
    
    Q: Melanie had 43 pencils. She gave 21 pencils to April. How many pencils does Melanie have now?
    A: Melanie started with 43 pencils. She gave 21 pencils to April. So she has 43 - 21 = 22 pencils now.
    Answer: 22
    
    Q: There are 15 oak trees currently in the park. Park workers will plant 21 more oak trees today. How many oak trees will the park have when the workers are finished?
    A: There are 15 oak trees currently in the park. Park workers will plant 21 more oak trees today. So there will be 15 + 21 = 36 oak trees when the workers are finished.
    Answer: 36
    
    Q: Weng has 44 books. Lisa has 11 books. How many more books does Weng have than Lisa?
    A: Weng has 44 books. Lisa has 11 books. So Weng has 44 - 11 = 33 more books than Lisa.
    Answer: 33
    
    Q: There are 15 oak trees and 42 pine trees currently in the park. How many trees are there in the park in total?
    A: There are 15 oak trees and 42 pine trees currently in the park. So there are 15 + 42 = 57 trees in the park in total.
    Answer: 57
    
    Q: A restaurant served 32 sandwiches on monday. On tuesday, they served 24 sandwiches. How many sandwiches did the restaurant serve in total?
    A: The restaurant served 32 sandwiches on monday. On tuesday, they served 24 sandwiches. So they served 32 + 24 = 56 sandwiches in total.
    Answer: 56
    
    Q: Jason went to 14 baseball games this year. He went to 28 games last year. How many baseball games did Jason go to in all?
    A: Jason went to 14 baseball games this year. He went to 28 games last year. So he went to 14 + 28 = 42 games in all.
    Answer: 42
    
    Q: Daniel has 17 violet marbles and 24 teal marbles. How many marbles does he have in total?
    A: Daniel has 17 violet marbles and 24 teal marbles. So he has 17 + 24 = 41 marbles in total.
    Answer: 41
    
    Q: Michael has 49 books. Lisa has 8 books. How many more books does Michael have than Lisa?
    A: Michael has 49 books. Lisa has 8 books. So Michael has 49 - 8 = 41 more books than Lisa.
    Answer: 41
    
    Q: There are 14 walnut trees currently in the park. Park workers will plant 15 more walnut trees today. How many walnut trees will the park have when the workers are finished?
    A: There are 14 walnut trees currently in the park. Park workers will plant 15 more walnut trees today. So there will be 14 + 15 = 29 walnut trees when the workers are finished.
    Answer: 29
    
    Q: Olivia has 44 muffins. She gave 4 to Jessica. How many muffins does Olivia have left?
    A: Olivia has 44 muffins. She gave 4 to Jessica. So Olivia has 44 - 4 = 40 muffins left.
    Answer: 40
    
    Q: There are 12 scissors in the drawer. Sally placed 39 more scissors in the drawer. How many scissors are now there in total?
    A: There are 12 scissors in the drawer. Sally placed 39 more scissors in the drawer. So there are 12 + 39 = 51 scissors in total.
    Answer: 51
    
    Q: A restaurant served 52 sandwiches on monday. On tuesday, they served 25 sandwiches. How many sandwiches did the restaurant serve in total?
    A: The restaurant served 52 sandwiches on monday. On tuesday, they served 25 sandwiches. So they served 52 + 25 = 77 sandwiches in total.
    Answer: 77
    
    Q: Jason is selling his old books. He started with 28 books and sold 4 of them. How many books does Jason have now?
    A: Jason started with 28 books. He sold 4 of them. So he has 28 - 4 = 24 books now.
    Answer: 24
    
    Q: Daniel has 21 blue balloons and 23 red balloons. How many balloons does Daniel have in total?
    A: Daniel has 21 blue balloons and 23 red balloons. So he has 21 + 23 = 44 balloons in total.
    Answer: 44
    
    Q: Michael is baking muffins. He baked 15 chocolate muffins and 17 blueberry muffins. How many muffins did Michael bake in total?
    A: Michael baked 15 chocolate muffins and 17 blueberry muffins. So he baked 15 + 17 = 32 muffins in total.
    Answer: 32
    
    Q: There are 43 pencils in the drawer. Jessica placed 31 more pencils in the drawer. How many pencils are now there in total?
    A: There are 43 pencils in the drawer. Jessica placed 31 more pencils in the drawer. So there are 43 + 31 = 74 pencils in total.
    Answer: 74
    
    Q: Olivia had 36 muffins. She ate 24 of them. How many muffins does Olivia have left?
    A: Olivia had 36 muffins. She ate 24 of them. So she has 36 - 24 = 12 muffins left.
    Answer: 12
    
    Q: There are 50 maple trees currently in the park. Park workers will plant 23 more maple trees today. How many maple trees will the park have when the workers are finished?
    A: There are 50 maple trees currently in the park. Park workers will plant 23 more maple trees today. So there will be 50 + 23 = 73 maple trees when the workers are finished.
    Answer: 73
    
    Q: There are 17 oak trees and 15 maple trees currently in the park. How many trees are there in the park in total?
    A: There are 17 oak trees and 15 maple trees currently in the park. So there are 17 + 15 = 32 trees in the park in total.
    Answer: 32
    
    Q: Jason has 20 marbles. Jessica has 33 marbles. How many more marbles does Jessica have than Jason?
    A: Jason has 20 marbles. Jessica has 33 marbles. So Jessica has 33 - 20 = 13 more marbles than Jason.
    Answer: 13
    
    Q: Daniel is baking cookies. He baked 22 sugar cookies and 11 peanut butter cookies. How many cookies did Daniel bake in total?
    A: Daniel baked 22 sugar cookies and 11 peanut butter cookies. So he baked 22 + 11 = 33 cookies in total.
    Answer: 33
    
    Q: There are 43 pencils in the drawer. Weng placed 12 more pencils in the drawer. How many pencils are now there in total?
    A: There are 43 pencils in the drawer. Weng placed 12 more pencils in the drawer. So there are 43 + 12 = 55 pencils now there in total.
    Answer: 55
    
    Q: Michael had 49 peaches. He ate 12 peaches. Then he picked 21 more peaches. How many peaches does Michael have now?
    A: Michael started with 49 peaches. He ate 12 peaches, so he had 49 - 12 = 37 peaches. Then he picked 21 more peaches, so he has 37 + 21 = 58 peaches.
    Answer: 58
    
    Q: There are 29 scissors in the drawer. Melanie placed 16 more scissors in the drawer. How many scissors are now there in all?
    A: There are 29 scissors in the drawer. Melanie placed 16 more scissors in the drawer. So there are 29 + 16 = 45 scissors now there in all.
    Answer: 45
    
    Q: Lisa has 29 violet balloons and 12 red balloons. How many balloons does Lisa have in total?
    A: Lisa has 29 violet balloons and 12 red balloons. So she has 29 + 12 = 41 balloons in total.
    Answer: 41
    
    Q: Jason went to 12 baseball games this year. He went to 14 games last year. How many baseball games did Jason go to in all?
    A: Jason went to 12 baseball games this year. He went to 14 games last year. So he went to 12 + 14 = 26 games in all.
    Answer: 26
    
    Q: There are 54 oak trees and 17 pine trees currently in the park. How many trees are there in the park in total?
    A: There are 54 oak trees and 17 pine trees currently in the park. So there are 54 + 17 = 71 trees in the park in total.
    Answer: 71
    
    Q: There are 22 scissors in the drawer. Jason placed 20 more scissors in the drawer. How many scissors are there in total?
    A: There are 22 scissors in the drawer. Jason placed 20 more scissors in the drawer. So there are 22 + 20 = 42 scissors are there in total.
    Answer: 42
    
    Q: Weng is selling his old books. He started with 19 books and sold 4 of them. How many books does Weng have now?
    A: Weng started with 19 books. He sold 4 of them. So he has 19 - 4 = 15 books now.
    Answer: 15
    
    Q: Olivia has 44 pencils. She gave 27 pencils to Jason. How many pencils does Olivia have left?
    A: Olivia has 44 pencils. She gave 27 pencils to Jason. So she has 44 - 27 = 17 pencils left.
    Answer: 17
    
    Q: There are 20 oak trees currently in the park. Park workers will plant 37 more oak trees today. How many oak trees will the park have when the workers are finished?
    A: There are 20 oak trees currently in the park. Park workers will plant 37 more oak trees today. So there will be 20 + 37 = 57 oak trees when the workers are finished.
    Answer: 57
    
    Q: Michael is baking cookies. He baked 21 peanut butter cookies and 38 chocolate chip cookies. How many cookies did Michael bake in total?
    A: Michael baked 21 peanut butter cookies and 38 chocolate chip cookies. So he baked 21 + 38 = 59 cookies in total.
    Answer: 59
    
    Q: Lisa is playing a video game. Lisa started with 100 points. She lost 35 points, then won 27 points. How many points does Lisa have now?
    A: Lisa started with 100 points. She lost 35 points, so she had 100 - 35 = 65 points. Then she won 27 points, so she has 65 + 27 = 92 points.
    Answer: 92
    
    Q: Daniel had 39 peaches. He ate 11 peaches. Then he picked 20 more peaches. How many peaches does Daniel have now?
    A: Daniel started with 39 peaches. He ate 11 peaches, so he had 39 - 11 = 28 peaches. Then he picked 20 more peaches, so he has 28 + 20 = 48 peaches.
    Answer: 48
    
    Q: There are 17 women and 24 men in the room. How many people are in the room?
    A: There are 17 women and 24 men in the room. So there are 17 + 24 = 41 people in the room.
    Answer: 41
    
    Q: Jason went to the store. He bought 12 pencils, 22 erasers, and 14 rulers. How many items did Jason buy in all?
    A: Jason bought 12 pencils, 22 erasers, and 14 rulers. So he bought 12 + 22 + 14 = 48 items in all.
    Answer: 48
    
    Q: Weng earns $12 an hour for babysitting. Yesterday, she just did 5 hours. How much money did she earn?
    A: Weng earns $12 an hour. She worked 5 hours. So she earned 12 * 5 = $60.
    Answer: 60
    
    Q: There were 9 computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?
    A: There were 4 days from monday to thursday. 5 computers were added each day, so 4 * 5 = 20 computers were added. So now there are 9 + 20 = 29 computers.
    Answer: 29
    
    Q: Roger has 5 tennis balls. He buys 2 more cans of tennis balls. Each can has 3 tennis balls. How many tennis balls does he have now?
    A: Roger started with 5 balls. 2 cans of 3 tennis balls each is 2 * 3 = 6 tennis balls. So he has 5 + 6 = 11 tennis balls.
    Answer: 11
    
    Q: The cafeteria had 23 apples. If they used 20 to make a pie, how many apples are left?
    A: The cafeteria had 23 apples. After using 20 to make a pie there are 23 - 20 = 3 apples left.
    Answer: 3
    
    Q: Olivia has $23. She bought five books for $3 each. How much money does she have left?
    A: Olivia started with $23. She bought 5 books for $3 each. So she spent 5 * 3 = $15. So she has 23 - 15 = $8.
    Answer: 8
    
    Q: Michael had 58 toy cars. He sold 29 of them. How many cars does he have left?
    A: Michael started with 58 cars. He sold 29 of them. So he has 58 - 29 = 29 cars left.
    Answer: 29
    
    Q: There are 15 trees in the grove. Grove workers planted trees in the grove today. Now there are 21 trees. How many trees did the grove workers plant today?
    A: There were initially 15 trees. Now there are 21 trees. So there must have been 21 - 15 = 6 trees planted.
    Answer: 6
    
    Q: Lisa is playing a video game. Lisa started with 100 points. She lost 27 points, then won 53 points. How many points does Lisa have now?
    A: Lisa started with 100 points. She lost 27 points, so she had 100 - 27 = 73 points. Then she won 53 points, so she has 73 + 53 = 126 points.
    Answer: 126
    
    Q: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?
    A: Jason started with 20 lollipops. Now he has 12 lollipops. So he gave Denny 20 - 12 = 8 lollipops.
    Answer: 8
    
    Q: Daniel had 39 peaches. He ate 11 peaches. Then he picked 30 more peaches. How many peaches does Daniel have now?
    A: Daniel started with 39 peaches. He ate 11 peaches, so he had 39 - 11 = 28 peaches. Then he picked 30 more peaches, so he has 28 + 30 = 58 peaches.
    Answer: 58
    
    Q: There are 17 women and 28 men in the room. How many people are in the room?
    A: There are 17 women and 28 men in the room. So there are 17 + 28 = 45 people in the room.
    Answer: 45
    
    Q: A restaurant served 45 pizzas on monday. On tuesday, they served 13 pizzas. How many pizzas did they serve in total?
    A: The restaurant served 45 pizzas on monday. On tuesday, they served 13 pizzas. So they served 45 + 13 = 58 pizzas in total.
    Answer: 58
    
    Q: Sam has 22 green marbles, and 38 blue marbles. How many marbles does he have in total?
    A: Sam has 22 green marbles, and 38 blue marbles. So he has 22 + 38 = 60 marbles in total.
    Answer: 60
    
    Q: Michael has 18 dollars. Amy has 73 dollars. How much more money does Amy have than Michael?
    A: Michael has 18 dollars. Amy has 73 dollars. So Amy has 73 - 18 = 55 more dollars than Michael.
    Answer: 55
    
    Q: There were 65 students on the bus. At the bus stop, 17 students got off the bus. How many students are on the bus now?
    A: There were 65 students on the bus. At the bus stop, 17 students got off the bus. So there are 65 - 17 = 48 students on the bus.
    Answer: 48
    
    Q: Olivia has 23 stickers. She gave Melanie 15 stickers. How many stickers does Olivia have left?
    A: Olivia has 23 stickers. She gave Melanie 15 stickers. So Olivia has 23 - 15 = 8 stickers left.
    Answer: 8
    
    Q: Emily had 12 crayons. Her sister gave her 7 more. How many crayons does she have now?
    A: Emily started with 12 crayons. Her sister gave her 7 more. So she has 12 + 7 = 19 crayons.
    Answer: 19
    
    Q: Weng has 12 cents in her left pocket and 53 cents in her right pocket. How much money does she have in total?
    A: Weng has 12 cents in her left pocket and 53 cents in her right pocket. So she has 12 + 53 = 65 cents in total.
    Answer: 65
    
    Q: There are 49 pine trees currently in the park. Park workers will plant 38 more pine trees today. How many pine trees will the park have when the workers are finished?
    A: There are 49 pine trees currently in the park. Park workers will plant 38 more pine trees today. So there will be 49 + 38 = 87 pine trees when the workers are finished.
    Answer: 87
    
    Q: Jason went to the store. He bought 21 pencils, 27 erasers, and 14 rulers. How many items did Jason buy in all?
    A: Jason bought 21 pencils, 27 erasers, and 14 rulers. So he bought 21 + 27 + 14 = 62 items in all.
    Answer: 62

发表回复

您的邮箱地址不会被公开。 必填项已用 * 标注