保留解释与只留结论：
一次小规模 SFT 对照
在这次 0.5B 模型的小实验里，保留解释组的同模板测试得分为 32/36 和 35/36，只留结论组为 16/36 和 17/36。这里只报告这批题上的结果。样本很少，解释组接受的监督 token 约为另一组的 5.9 倍，不能据此证明“删解释会让模型普遍失去推理能力”。
两组到底改了什么
同一批 96 道英文训练题，两组最终数值都正确。一组保留计算步骤或条件判断，一组只有 Answer: 数值.。提示词要求以 Answer 数值收尾，没有要求必须解释或必须简答。
题目包括数量计算、排除运费的满减门槛、先增后减的百分比变化，每类 32 道。测试使用相同模板下未参与训练的 36 个参数组合，另加 12 道简单事实与算术探针。这不是新题型泛化测试，也不是通用能力基准。
每个随机种子都从同一个原始模型和新初始化的 LoRA 开始，训练三轮、每批 4 条，共 72 步；两组配对使用相同的样本顺序。只监督 assistant 部分，训练不截断。固定取最后一轮，没有依据测试分数挑选检查点。完整设置见实验协议。
先看两个训练组
| 模型 / 种子 | 同模板 / 36 | 探针 / 12 | 未解析 / 48 | 截断 / 48 | 监督 tokens |
|---|---|---|---|---|---|
| 原始指令模型 | 0 / 36 | 10 / 12 | 25 | 19 | — |
| 保留解释 · 17 | 32 / 36 | 11 / 12 | 0 | 0 | 13974 |
| 只留结论 · 17 | 16 / 36 | 11 / 12 | 0 | 0 | 2349 |
| 保留解释 · 29 | 35 / 36 | 11 / 12 | 0 | 0 | 13974 |
| 只留结论 · 29 | 17 / 36 | 10 / 12 | 0 | 0 | 2349 |
这里的“通过”要求明确的 Answer 数值正确；没有解析到，或多个 Answer 数值冲突，都记为未通过。表中的原始模型得分尤其需要结合下文的格式与长度问题阅读。
| 模型 / 种子 | 满减条件 | 数量计算 | 百分比 |
|---|---|---|---|
| 原始指令模型 | 0 / 12 | 0 / 12 | 0 / 12 |
| 保留解释 · 17 | 11 / 12 | 12 / 12 | 9 / 12 |
| 只留结论 · 17 | 5 / 12 | 5 / 12 | 6 / 12 |
| 保留解释 · 29 | 12 / 12 | 12 / 12 | 11 / 12 |
| 只留结论 · 29 | 7 / 12 | 6 / 12 | 4 / 12 |
- 种子 17：有 19 道同模板题只有保留解释组答对；也有 3 道只有只留结论组答对。
- 种子 29：有 18 道同模板题只有保留解释组答对；也有 0 道只有只留结论组答对。
两个种子在同一批题上测试，不能把它们合并成两倍的独立测试样本。12 道探针中一题就占 8.3 个百分点，适合发现具体问题，不适合给“能力保持”下结论。
解释更长，也可能写错
下面两题都来自种子 17。第一题，解释组完成了乘法后的减法；第二题，解释组把大小关系写反了，只留结论组反而答对。它们说明为什么需要看逐题输出。
inventory-8-6-8 · 正确值 40
There are 8 boxes with 6 pencils in each. 8 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
保留解释 · 种子 17
There are 8 * 6 = 48 pencils initially. After giving away 8, 48 - 8 = 40 remain. Answer: 40.
只留结论 · 种子 17
Answer: 48.
discount-200-20-220 · 正确值 0
A shop gives a 20-dollar discount when the item subtotal is at least 220 dollars. Shipping does not count toward the threshold. The items cost 200 dollars and shipping is 20 dollars. How many dollars is the discount? End with 'Answer: <number>'.
保留解释 · 种子 17
Only the item subtotal of 200 counts; the 20-dollar shipping charge is excluded. 200 is at least 220, so the discount is 20 dollars. Answer: 20.
只留结论 · 种子 17
Answer: 0.
原模型的 0/36，不等于一道都不会算
原模型在主实验的 36 道同模板题上没有通过严格评分，但其中 23 道没有解析出 Answer 数值，17 道达到 128-token 上限。这个分数包含格式要求和生成预算的影响，不能把它解读成微调带来了从零开始的推理能力。
例如 inventory-8-11-2，原模型已经算出 8 × 11 − 2 = 86，并把 86 放进了公式框；因为没有输出 Answer: 86，仍被记为未通过。百分比题则有 12/12 碰到了长度上限。因此，这里的主要比较是两种训练目标之间的表现，不是用这个基线制造“巨大提升”。
发现这个问题后，另做了一次事后诊断：仅将原模型的输出上限改为 512，重新生成全部 48 题，不训练、不改提示词和解析器。严格得分变为同模板 2/36、探针 10/12；未解析 21/48，达到长度上限 0/48。原始记录与脚本单独保存。这只是检查基线对长度限制的敏感性，没有替换主实验，也不是新的五组同条件比较。
放宽长度后，格式仍然影响严格得分。例如 percentage-700-20，原模型最终答出正确的 672，却没有使用 Answer: 格式，所以依然未通过。这再次说明：表里的严格通过数不等同于内容正确数。
这次能留下什么结论
这组小实验观察到了不同训练答案带来的结果差异，也暴露了评测实现对结论的影响。它还不足以区分：差异来自中间步骤、任务信息重复、监督 token 预算，还是这些因素共同作用。
两组虽然都训练 72 步，监督 token 分别是 13,974 和 2,349；损失又是在每批有效 token 上取平均。解释组不仅“多说了几句”，还多接受了任务相关监督。数据使用固定模板、英文、小模型和两个种子，也都限制了外推范围。这里没有测量口语自然度，更没有测试语音模型或真实业务系统。
下一轮最值得先改的是评测：让生成预算足够、将格式遵循与答案内容分开报告，再用不同表述和题型检验能否迁移。确认评测口径后，才适合进一步比较监督预算。
2026-10-01 补充：按决策条件检查数据划分
本次只复核已公开的数据与输出，没有追加训练或推理。满减题的答案由商品小计和满减门槛决定，运费不参与判断。按这两个量分组，32 条训练样本对应 20 组条件，12 条测试样本对应 9 组；其中 8 条测试样本的条件组合已在训练中出现，另外 4 条对应 3 组未见组合。完整题干和完整参数组合仍不重复，但它们不都代表新的决策条件。保留解释的两个模型在这 4 条未见组合的原题上分别答对 3 条和 4 条；样本太少，且有条件重复，只能作事后描述，不能据此证明记忆或解释训练机制，也不能把它当作新的独立基准。原协议、数据、输出和主结果保持不变。
复核使用 只读审计脚本和逐条对应关系、结果与来源指纹；来源固定到 本次复核前的公开版本。如果今后另做数据划分，应先按商品小计和满减门槛分组，再分配训练集与测试集。
复现与原始记录
- 运行说明 · 训练与推理脚本 · 数据与标签检查
- 96 道训练题 · 48 道测试与探针题 · 模型文件校验 · 环境版本
- 结果汇总 JSON · 统计脚本 · 本页生成脚本
- 完整逐题 JSON：原始指令模型 · 保留解释 · 17 · 只留结论 · 17 · 保留解释 · 29 · 只留结论 · 29
全部 48 道题
展开可看原模型及四次训练后的原始回答。可以按题型筛选，或只看同一种子下两组评分不同的题。
discount-170-15-180 · 正确值 0
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 170 dollars and shipping is 15 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 71 tokens
The discount amount is calculated as follows:
Discount = Item Subtotal - (Item Subtotal * Discount Rate)
= $170 - ($170 * 0.20)
= $170 - $34
= $136
Therefore, the answer is Answer: 136.保留解释 · 17 · 数值匹配 · 46 tokens
Only the item subtotal of 170 counts; the 15-dollar shipping charge is excluded. 170 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 46 tokens
Only the item subtotal of 170 counts; the 15-dollar shipping charge is excluded. 170 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 20.
discount-200-30-200 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 200 dollars. Shipping does not count toward the threshold. The items cost 200 dollars and shipping is 30 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 72 tokens
The discount amount is calculated as follows:
\[ \text{Discount} = \text{Subtotal} - \text{Shipping} \]
\[ \text{Discount} = \$200 - \$30 \]
\[ \text{Discount} = \$170 \]
Therefore, the answer is Answer: $170.保留解释 · 17 · 数值匹配 · 28 tokens
Only the item subtotal of 200 counts; the 30-dollar shipping charge is excluded. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 200 counts; the 30-dollar shipping charge is excluded. 200 is at least 200, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
discount-200-20-220 · 正确值 0
A shop gives a 20-dollar discount when the item subtotal is at least 220 dollars. Shipping does not count toward the threshold. The items cost 200 dollars and shipping is 20 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
The discount amount is calculated as follows: 1. Subtract the shipping cost from the total item cost to find out how much you pay for the item: - Total item cost: $200 - Shipping cost: $20 - Amount paid for the item: $200 - $20 = $180 2. Apply the 20-dollar discount if the item subtotal is at least $220: - Item subtotal: $200 - Minimum item subtotal required: $220 - Discount amount: $20 (since $20
保留解释 · 17 · 数值不匹配 · 49 tokens
Only the item subtotal of 200 counts; the 20-dollar shipping charge is excluded. 200 is at least 220, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 46 tokens
Only the item subtotal of 200 counts; the 20-dollar shipping charge is excluded. 200 is below 220, so the discount is 0 dollars. Answer: 0.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 20.
discount-230-10-220 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 220 dollars. Shipping does not count toward the threshold. The items cost 230 dollars and shipping is 10 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 88 tokens
The discount amount is calculated as follows:
\[ \text{Discount} = \text{Subtotal} - \text{Shipping} \]
Given:
- Subtotal = $230
- Shipping = $10
So, the calculation becomes:
\[ \text{Discount} = \$230 - \$10 = \$220 \]
Therefore, the answer is Answer: 220.保留解释 · 17 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 10-dollar shipping charge is excluded. 230 is at least 220, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 10-dollar shipping charge is excluded. 230 is at least 220, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
discount-180-25-180 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 180 dollars and shipping is 25 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 85 tokens
The discount amount is calculated as follows:
\[ \text{Discount} = \text{Subtotal} - \text{Shipping} \]
Given:
- Subtotal = $180
- Shipping = $25
So,
\[ \text{Discount} = \$180 - \$25 = \$155 \]
Therefore, the answer is `Answer: 155`.保留解释 · 17 · 数值匹配 · 49 tokens
Only the item subtotal of 180 counts; the 25-dollar shipping charge is excluded. 180 is at least 180, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 180 counts; the 25-dollar shipping charge is excluded. 180 is at least 180, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
discount-170-35-180 · 正确值 0
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 170 dollars and shipping is 35 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 71 tokens
The discount amount is calculated as follows:
Discount = Item Subtotal - (Item Subtotal * Discount Rate)
= $170 - ($170 * 0.20)
= $170 - $34
= $136
Therefore, the answer is Answer: 136.保留解释 · 17 · 数值匹配 · 46 tokens
Only the item subtotal of 170 counts; the 35-dollar shipping charge is excluded. 170 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 46 tokens
Only the item subtotal of 170 counts; the 35-dollar shipping charge is excluded. 170 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 20.
discount-150-30-180 · 正确值 0
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 150 dollars and shipping is 30 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 69 tokens
The discount amount is calculated as follows:
Discount = Item Cost - (Item Cost * Discount Rate)
= $150 - ($150 * 0.20)
= $150 - $30
= $120
Therefore, the answer is Answer: 120.保留解释 · 17 · 数值匹配 · 46 tokens
Only the item subtotal of 150 counts; the 30-dollar shipping charge is excluded. 150 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 46 tokens
Only the item subtotal of 150 counts; the 30-dollar shipping charge is excluded. 150 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 20.
discount-150-25-180 · 正确值 0
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 150 dollars and shipping is 25 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 71 tokens
The discount amount is calculated as follows:
Discount = Item Subtotal - (Item Subtotal * Discount Rate)
= 150 - (150 * 0.20)
= 150 - 30
= 120
Therefore, the answer is Answer: 120.保留解释 · 17 · 数值匹配 · 46 tokens
Only the item subtotal of 150 counts; the 25-dollar shipping charge is excluded. 150 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 46 tokens
Only the item subtotal of 150 counts; the 25-dollar shipping charge is excluded. 150 is below 180, so the discount is 0 dollars. Answer: 0.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 20.
discount-230-20-200 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 200 dollars. Shipping does not count toward the threshold. The items cost 230 dollars and shipping is 20 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
The discount amount is calculated as follows: 1. Subtract the shipping cost from the total item cost to find out how much you pay for the item: - Total item cost: $230 - Shipping cost: $20 - Amount paid for the item: $230 - $20 = $210 2. Apply the 20-dollar discount if the item subtotal is at least $200: - Item subtotal: $210 - Discount threshold: $200 - Discount amount: $210 - $200 =
保留解释 · 17 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 20-dollar shipping charge is excluded. 230 is at least 200, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 20-dollar shipping charge is excluded. 230 is at least 200, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
discount-220-10-180 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 220 dollars and shipping is 10 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 71 tokens
The discount amount is calculated as follows:
Discount = Item Subtotal - (Item Subtotal * Discount Rate)
= $220 - ($220 * 0.20)
= $220 - $44
= $176
Therefore, the answer is Answer: 176.保留解释 · 17 · 数值匹配 · 49 tokens
Only the item subtotal of 220 counts; the 10-dollar shipping charge is excluded. 220 is at least 180, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 220 counts; the 10-dollar shipping charge is excluded. 220 is at least 180, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
discount-230-15-220 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 220 dollars. Shipping does not count toward the threshold. The items cost 230 dollars and shipping is 15 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 85 tokens
The discount amount is calculated as follows:
\[ \text{Discount} = \text{Subtotal} - \text{Shipping} \]
Given:
- Subtotal = $230
- Shipping = $15
So,
\[ \text{Discount} = \$230 - \$15 = \$215 \]
Therefore, the answer is `Answer: 215`.保留解释 · 17 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 15-dollar shipping charge is excluded. 230 is at least 220, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 15-dollar shipping charge is excluded. 230 is at least 220, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
discount-230-25-180 · 正确值 20
A shop gives a 20-dollar discount when the item subtotal is at least 180 dollars. Shipping does not count toward the threshold. The items cost 230 dollars and shipping is 25 dollars. How many dollars is the discount? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 128 tokens · 达到长度上限
The discount amount is calculated as follows: Discount = Item Subtotal - (Item Subtotal * Discount Percentage / 100) Given: - Item Subtotal = $230 - Discount Percentage = 20 First, calculate the discount percentage: Discount Percentage = (20 / 100) * 100 = 20% Now, apply this to the item subtotal: Discount = $230 - ($230 * 20 / 100) Discount = $230 - ($46) So, the final answer is Answer: $23
保留解释 · 17 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 25-dollar shipping charge is excluded. 230 is at least 180, so the discount is 20 dollars. Answer: 20.
只留结论 · 17 · 数值不匹配 · 6 tokens
Answer: 0.
保留解释 · 29 · 数值匹配 · 49 tokens
Only the item subtotal of 230 counts; the 25-dollar shipping charge is excluded. 230 is at least 180, so the discount is 20 dollars. Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.
inventory-8-6-8 · 正确值 40
There are 8 boxes with 6 pencils in each. 8 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 6 tokens
Answer: 48
保留解释 · 17 · 数值匹配 · 39 tokens
There are 8 * 6 = 48 pencils initially. After giving away 8, 48 - 8 = 40 remain. Answer: 40.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 48.
保留解释 · 29 · 数值匹配 · 39 tokens
There are 8 * 6 = 48 pencils initially. After giving away 8, 48 - 8 = 40 remain. Answer: 40.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 40.
inventory-8-11-2 · 正确值 86
There are 8 boxes with 11 pencils in each. 2 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 120 tokens
To find out how many pencils remain, we need to follow these steps:
1. Calculate the total number of pencils initially.
2. Subtract the number of pencils given away from the initial total.
First, let's calculate the total number of pencils:
\[ \text{Total pencils} = 8 \times 11 = 88 \]
Next, we subtract the number of pencils given away:
\[ \text{Pencils remaining} = 88 - 2 = 86 \]
So, the answer is:
\[ \boxed{86} \]保留解释 · 17 · 数值匹配 · 40 tokens
There are 8 * 11 = 88 pencils initially. After giving away 2, 88 - 2 = 86 remain. Answer: 86.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 86.
保留解释 · 29 · 数值匹配 · 40 tokens
There are 8 * 11 = 88 pencils initially. After giving away 2, 88 - 2 = 86 remain. Answer: 86.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 76.
inventory-9-7-7 · 正确值 56
There are 9 boxes with 7 pencils in each. 7 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 122 tokens
To find out how many pencils remain, we need to subtract the number of pencils given away from the total number of pencils initially. Total number of pencils = 9 boxes * 7 pencils/box Given that 7 pencils were given away: Pencils remaining = Total number of pencils - Given away pencils Let's calculate this: Total number of pencils = 9 * 7 = 63 pencils Given away pencils = 7 pencils Pencils remaining = 63 - 7 = 56 pencils So, the answer is 56 pencils remain.
保留解释 · 17 · 数值匹配 · 39 tokens
There are 9 * 7 = 63 pencils initially. After giving away 7, 63 - 7 = 56 remain. Answer: 56.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 60.
保留解释 · 29 · 数值匹配 · 39 tokens
There are 9 * 7 = 63 pencils initially. After giving away 7, 63 - 7 = 56 remain. Answer: 56.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 56.
inventory-3-12-5 · 正确值 31
There are 3 boxes with 12 pencils in each. 5 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To find out how many pencils remain, we need to follow these steps: 1. Calculate the total number of pencils initially. 2. Subtract the number of pencils given away from the initial total. Let's do this step by step: 1. **Calculate the total number of pencils initially:** - There are 3 boxes with 12 pencils in each box. - So, the total number of pencils is \(3 \times 12 = 36\). 2. **Subtract the number of pencils given away:** - 5 pencils are given away. - The remaining number of pencils is
保留解释 · 17 · 数值匹配 · 40 tokens
There are 3 * 12 = 36 pencils initially. After giving away 5, 36 - 5 = 31 remain. Answer: 31.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 37.
保留解释 · 29 · 数值匹配 · 40 tokens
There are 3 * 12 = 36 pencils initially. After giving away 5, 36 - 5 = 31 remain. Answer: 31.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 37.
inventory-8-9-5 · 正确值 67
There are 8 boxes with 9 pencils in each. 5 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 122 tokens
To find out how many pencils remain, we need to follow these steps:
1. Calculate the total number of pencils initially:
\[
8 \text{ boxes} \times 9 \text{ pencils per box} = 72 \text{ pencils}
\]
2. Subtract the number of pencils given away from the initial total:
\[
72 \text{ pencils} - 5 \text{ pencils} = 67 \text{ pencils}
\]
So, the answer is:
\[
\boxed{67}
\]保留解释 · 17 · 数值匹配 · 39 tokens
There are 8 * 9 = 72 pencils initially. After giving away 5, 72 - 5 = 67 remain. Answer: 67.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 71.
保留解释 · 29 · 数值匹配 · 39 tokens
There are 8 * 9 = 72 pencils initially. After giving away 5, 72 - 5 = 67 remain. Answer: 67.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 67.
inventory-9-4-8 · 正确值 28
There are 9 boxes with 4 pencils in each. 8 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 118 tokens
To find out how many pencils remain, we need to follow these steps:
1. Calculate the total number of pencils initially.
2. Subtract the number of pencils given away from the initial total.
First, let's calculate the total number of pencils:
\[ \text{Total pencils} = 9 \times 4 = 36 \]
Next, subtract the number of pencils given away:
\[ \text{Pencils remaining} = 36 - 8 = 28 \]
So, the answer is:
\[ \boxed{28} \]保留解释 · 17 · 数值匹配 · 39 tokens
There are 9 * 4 = 36 pencils initially. After giving away 8, 36 - 8 = 28 remain. Answer: 28.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 32.
保留解释 · 29 · 数值匹配 · 39 tokens
There are 9 * 4 = 36 pencils initially. After giving away 8, 36 - 8 = 28 remain. Answer: 28.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 32.
inventory-9-11-8 · 正确值 91
There are 9 boxes with 11 pencils in each. 8 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To find out how many pencils remain, we need to subtract the number of pencils given away from the total number of pencils initially. Total number of pencils = Number of boxes × Number of pencils per box Given: Number of boxes = 9 Number of pencils per box = 11 Total number of pencils = 9 boxes × 11 pencils/box = 99 pencils Pencils given away = 8 pencils Pencils remaining = Total number of pencils - Pencils given away Pencils remaining = 99 pencils - 8 pencils = 91 pencils Answer:
保留解释 · 17 · 数值匹配 · 40 tokens
There are 9 * 11 = 99 pencils initially. After giving away 8, 99 - 8 = 91 remain. Answer: 91.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 83.
保留解释 · 29 · 数值匹配 · 40 tokens
There are 9 * 11 = 99 pencils initially. After giving away 8, 99 - 8 = 91 remain. Answer: 91.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 83.
inventory-4-7-4 · 正确值 24
There are 4 boxes with 7 pencils in each. 4 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 5 tokens
Answer: 3
保留解释 · 17 · 数值匹配 · 39 tokens
There are 4 * 7 = 28 pencils initially. After giving away 4, 28 - 4 = 24 remain. Answer: 24.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 24.
保留解释 · 29 · 数值匹配 · 39 tokens
There are 4 * 7 = 28 pencils initially. After giving away 4, 28 - 4 = 24 remain. Answer: 24.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 28.
inventory-9-12-3 · 正确值 105
There are 9 boxes with 12 pencils in each. 3 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 123 tokens
To find out how many pencils remain, we need to follow these steps:
1. Calculate the total number of pencils initially.
2. Subtract the number of pencils given away from the initial total.
First, let's calculate the total number of pencils:
\[ \text{Total pencils} = 9 \times 12 = 108 \]
Next, subtract the number of pencils given away:
\[ \text{Pencils remaining} = 108 - 3 = 105 \]
So, the answer is:
\[ \boxed{105} \]保留解释 · 17 · 数值匹配 · 44 tokens
There are 9 * 12 = 108 pencils initially. After giving away 3, 108 - 3 = 105 remain. Answer: 105.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 105.
保留解释 · 29 · 数值匹配 · 44 tokens
There are 9 * 12 = 108 pencils initially. After giving away 3, 108 - 3 = 105 remain. Answer: 105.
只留结论 · 29 · 数值匹配 · 8 tokens
Answer: 105.
inventory-12-7-3 · 正确值 81
There are 12 boxes with 7 pencils in each. 3 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 123 tokens
To find out how many pencils remain, we need to follow these steps:
1. Calculate the total number of pencils initially:
\[
12 \text{ boxes} \times 7 \text{ pencils per box} = 84 \text{ pencils}
\]
2. Subtract the number of pencils given away from the initial total:
\[
84 \text{ pencils} - 3 \text{ pencils} = 81 \text{ pencils}
\]
So, the answer is:
\[
\boxed{81}
\]保留解释 · 17 · 数值匹配 · 40 tokens
There are 12 * 7 = 84 pencils initially. After giving away 3, 84 - 3 = 81 remain. Answer: 81.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 81.
保留解释 · 29 · 数值匹配 · 40 tokens
There are 12 * 7 = 84 pencils initially. After giving away 3, 84 - 3 = 81 remain. Answer: 81.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 81.
inventory-3-10-3 · 正确值 27
There are 3 boxes with 10 pencils in each. 3 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 数值不匹配 · 5 tokens
Answer: 7
保留解释 · 17 · 数值匹配 · 40 tokens
There are 3 * 10 = 30 pencils initially. After giving away 3, 30 - 3 = 27 remain. Answer: 27.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 27.
保留解释 · 29 · 数值匹配 · 40 tokens
There are 3 * 10 = 30 pencils initially. After giving away 3, 30 - 3 = 27 remain. Answer: 27.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 27.
inventory-7-13-7 · 正确值 84
There are 7 boxes with 13 pencils in each. 7 pencils are given away. How many pencils remain? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 123 tokens
To find out how many pencils remain, we need to subtract the number of pencils given away from the total number of pencils. Total number of pencils = 7 boxes * 13 pencils/box Given that 7 pencils were given away: Pencils remaining = Total number of pencils - Given away pencils Let's calculate this: Total number of pencils = 7 * 13 = 91 pencils Given away pencils = 7 pencils Pencils remaining = 91 - 7 = 84 pencils So, the answer is 84 pencils remain.
保留解释 · 17 · 数值匹配 · 40 tokens
There are 7 * 13 = 91 pencils initially. After giving away 7, 91 - 7 = 84 remain. Answer: 84.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 92.
保留解释 · 29 · 数值匹配 · 40 tokens
There are 7 * 13 = 91 pencils initially. After giving away 7, 91 - 7 = 84 remain. Answer: 84.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 89.
percentage-800-50 · 正确值 600
A value starts at 800, increases by 50 percent, and then decreases by 50 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of $800.
2. Increase the value by 50% to get the first increase.
3. Decrease the new value by 50% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 50%.
\[ \text{First Increase} = 800 + (800 \times 0.5) = 800 + 400 = 1200 \]
**Step 2:** Decrease the new保留解释 · 17 · 数值匹配 · 58 tokens
The increase gives 1200. The decrease is 50 percent of 1200, which is 600. The final value is 1200 - 600 = 600. Answer: 600.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 600.
保留解释 · 29 · 数值匹配 · 58 tokens
The increase gives 1200. The decrease is 50 percent of 1200, which is 600. The final value is 1200 - 600 = 600. Answer: 600.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 675.
percentage-700-20 · 正确值 672
A value starts at 700, increases by 20 percent, and then decreases by 20 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 700.
2. Increase the value by 20%.
3. Decrease the new value by 20% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 20%.
\[ \text{New Value} = 700 + (700 \times 0.20) \]
\[ \text{New Value} = 700 + 140 \]
\[ \text{New Value} = 8保留解释 · 17 · 数值不匹配 · 55 tokens
The increase gives 940. The decrease is 20 percent of 940, which is 188. The final value is 940 - 188 = 752. Answer: 752.
只留结论 · 17 · 数值不匹配 · 8 tokens
Answer: 636.
保留解释 · 29 · 数值不匹配 · 55 tokens
The increase gives 940. The decrease is 20 percent of 940, which is 188. The final value is 940 - 188 = 752. Answer: 752.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 634.
percentage-900-10 · 正确值 891
A value starts at 900, increases by 10 percent, and then decreases by 10 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 900.
2. Increase the value by 10%.
3. Decrease the new value by 10% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 10%.
\[ \text{New Value} = 900 + (900 \times 0.10) \]
\[ \text{New Value} = 900 + 90 \]
\[ \text{New Value} = 99保留解释 · 17 · 数值匹配 · 53 tokens
The increase gives 990. The decrease is 10 percent of 990, which is 99. The final value is 990 - 99 = 891. Answer: 891.
只留结论 · 17 · 数值不匹配 · 8 tokens
Answer: 899.
保留解释 · 29 · 数值匹配 · 53 tokens
The increase gives 990. The decrease is 10 percent of 990, which is 99. The final value is 990 - 99 = 891. Answer: 891.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 899.
percentage-700-10 · 正确值 693
A value starts at 700, increases by 10 percent, and then decreases by 10 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 700.
2. Increase the value by 10%.
3. Decrease the new value by 10% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 10%.
\[ \text{New Value} = 700 + (700 \times 0.10) \]
\[ \text{New Value} = 700 + 70 \]
\[ \text{New Value} = 77保留解释 · 17 · 数值匹配 · 53 tokens
The increase gives 770. The decrease is 10 percent of 770, which is 77. The final value is 770 - 77 = 693. Answer: 693.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 693.
保留解释 · 29 · 数值匹配 · 53 tokens
The increase gives 770. The decrease is 10 percent of 770, which is 77. The final value is 770 - 77 = 693. Answer: 693.
只留结论 · 29 · 数值匹配 · 8 tokens
Answer: 693.
percentage-200-20 · 正确值 192
A value starts at 200, increases by 20 percent, and then decreases by 20 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 200.
2. Increase the value by 20%.
3. Decrease the new value by 20% of the increased value.
Let's calculate each step in detail:
**Step 1:** Initial Value = 200
**Step 2:** After increasing by 20%, the new value becomes:
\[ \text{New Value} = 200 + (20\% \times 200) \]
\[ \text{New Value} = 20保留解释 · 17 · 数值匹配 · 53 tokens
The increase gives 240. The decrease is 20 percent of 240, which is 48. The final value is 240 - 48 = 192. Answer: 192.
只留结论 · 17 · 数值不匹配 · 8 tokens
Answer: 184.
保留解释 · 29 · 数值匹配 · 53 tokens
The increase gives 240. The decrease is 20 percent of 240, which is 48. The final value is 240 - 48 = 192. Answer: 192.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 184.
percentage-500-10 · 正确值 495
A value starts at 500, increases by 10 percent, and then decreases by 10 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of $500.
2. Increase the value by 10% to get the first increase.
3. Decrease the new value by 10% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 10%.
\[ \text{New Value} = 500 + (500 \times 0.10) \]
\[ \text{New Value} = 500 + 50 \]
\[ \text{New Value保留解释 · 17 · 数值不匹配 · 53 tokens
The increase gives 600. The decrease is 10 percent of 600, which is 60. The final value is 600 - 60 = 540. Answer: 540.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 495.
保留解释 · 29 · 数值匹配 · 53 tokens
The increase gives 550. The decrease is 10 percent of 550, which is 55. The final value is 550 - 55 = 495. Answer: 495.
只留结论 · 29 · 数值匹配 · 8 tokens
Answer: 495.
percentage-1000-30 · 正确值 910
A value starts at 1000, increases by 30 percent, and then decreases by 30 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 1000.
2. Increase the value by 30%.
3. Decrease the new value by 30% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 30%.
\[ \text{New Value} = 1000 + (1000 \times 0.30) \]
\[ \text{New Value} = 1000 + 300 \]
\[ \text{New Value保留解释 · 17 · 数值匹配 · 58 tokens
The increase gives 1300. The decrease is 30 percent of 1300, which is 390. The final value is 1300 - 390 = 910. Answer: 910.
只留结论 · 17 · 数值不匹配 · 8 tokens
Answer: 972.
保留解释 · 29 · 数值匹配 · 58 tokens
The increase gives 1300. The decrease is 30 percent of 1300, which is 390. The final value is 1300 - 390 = 910. Answer: 910.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 972.
percentage-600-30 · 正确值 546
A value starts at 600, increases by 30 percent, and then decreases by 30 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we need to follow these steps:
1. Calculate the initial increase.
2. Add that increase to the original value.
3. Decrease the resulting value by 30% of its current value.
Let's start with the first step:
**Step 1: Calculate the initial increase.**
The original value is 600. The increase is 30 percent of 600:
\[ \text{Increase} = 600 \times \frac{30}{100} = 600 \times 0.30 = 180 \保留解释 · 17 · 数值匹配 · 55 tokens
The increase gives 780. The decrease is 30 percent of 780, which is 234. The final value is 780 - 234 = 546. Answer: 546.
只留结论 · 17 · 数值不匹配 · 8 tokens
Answer: 549.
保留解释 · 29 · 数值匹配 · 55 tokens
The increase gives 780. The decrease is 30 percent of 780, which is 234. The final value is 780 - 234 = 546. Answer: 546.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 549.
percentage-1000-10 · 正确值 990
A value starts at 1000, increases by 10 percent, and then decreases by 10 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 1000.
2. Increase the value by 10%.
3. Decrease the new value by 10% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 10%.
\[ \text{New Value} = 1000 + (10\% \times 1000) \]
\[ \text{New Value} = 1000 + (0.10 \times 1000保留解释 · 17 · 数值匹配 · 58 tokens
The increase gives 1100. The decrease is 10 percent of 1100, which is 110. The final value is 1100 - 110 = 990. Answer: 990.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 990.
保留解释 · 29 · 数值匹配 · 58 tokens
The increase gives 1100. The decrease is 10 percent of 1100, which is 110. The final value is 1100 - 110 = 990. Answer: 990.
只留结论 · 29 · 数值匹配 · 8 tokens
Answer: 990.
percentage-400-10 · 正确值 396
A value starts at 400, increases by 10 percent, and then decreases by 10 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of $400.
2. Increase the value by 10% to get the first increase.
3. Decrease the new value by 10% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 10%.
\[ \text{New Value} = 400 + (400 \times 0.10) \]
\[ \text{New Value} = 400 + 40 \]
\[ \text{New Value保留解释 · 17 · 数值匹配 · 53 tokens
The increase gives 440. The decrease is 10 percent of 440, which is 44. The final value is 440 - 44 = 396. Answer: 396.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 396.
保留解释 · 29 · 数值匹配 · 53 tokens
The increase gives 440. The decrease is 10 percent of 440, which is 44. The final value is 440 - 44 = 396. Answer: 396.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 392.
percentage-600-10 · 正确值 594
A value starts at 600, increases by 10 percent, and then decreases by 10 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 600.
2. Increase the value by 10%.
3. Decrease the new value by 10% of the increased value.
Let's calculate each step:
**Step 1:** Increase the initial value by 10%.
\[ \text{New Value} = 600 + (600 \times 0.10) \]
\[ \text{New Value} = 600 + 60 \]
\[ \text{New Value} = 66保留解释 · 17 · 数值不匹配 · 53 tokens
The increase gives 700. The decrease is 10 percent of 700, which is 70. The final value is 700 - 70 = 630. Answer: 630.
只留结论 · 17 · 数值匹配 · 8 tokens
Answer: 594.
保留解释 · 29 · 数值匹配 · 53 tokens
The increase gives 660. The decrease is 10 percent of 660, which is 66. The final value is 660 - 66 = 594. Answer: 594.
只留结论 · 29 · 数值匹配 · 8 tokens
Answer: 594.
percentage-400-50 · 正确值 300
A value starts at 400, increases by 50 percent, and then decreases by 50 percent of its new value. What is the final value? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve this problem, we'll follow these steps:
1. Start with the initial value of 400.
2. Increase the value by 50%.
3. Decrease the new value by 50% of the increased value.
Let's go through each step in detail:
**Step 1: Increase the value by 50%**
The original value is 400. Increasing it by 50% means multiplying by \(1 + \frac{50}{100} = 1.5\).
\[ 400 \times 1.5 = 6保留解释 · 17 · 数值匹配 · 55 tokens
The increase gives 600. The decrease is 50 percent of 600, which is 300. The final value is 600 - 300 = 300. Answer: 300.
只留结论 · 17 · 数值不匹配 · 8 tokens
Answer: 320.
保留解释 · 29 · 数值匹配 · 55 tokens
The increase gives 600. The decrease is 50 percent of 600, which is 300. The final value is 600 - 300 = 300. Answer: 300.
只留结论 · 29 · 数值不匹配 · 8 tokens
Answer: 360.
probe-00 · 正确值 7
How many days are there in a week? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 15 tokens
There are 7 days in a week. Answer: 7.
保留解释 · 17 · 数值匹配 · 15 tokens
There are 7 days in a week. Answer: 7.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 7.
保留解释 · 29 · 数值匹配 · 15 tokens
There are 7 days in a week. Answer: 7.
只留结论 · 29 · 数值匹配 · 6 tokens
Answer: 7.
probe-01 · 正确值 12
How many months are there in a year? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 17 tokens
There are 12 months in a year. Answer: 12.
保留解释 · 17 · 数值匹配 · 17 tokens
There are 12 months in a year. Answer: 12.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 12.
保留解释 · 29 · 数值匹配 · 17 tokens
There are 12 months in a year. Answer: 12.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 12.
probe-02 · 正确值 3
How many sides does a triangle have? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 13 tokens
A triangle has 3 sides. Answer: 3.
保留解释 · 17 · 数值匹配 · 13 tokens
A triangle has 3 sides. Answer: 3.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 3.
保留解释 · 29 · 数值匹配 · 13 tokens
A triangle has 3 sides. Answer: 3.
只留结论 · 29 · 数值匹配 · 6 tokens
Answer: 3.
probe-03 · 正确值 60
How many minutes are there in an hour? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 6 tokens
Answer: 60
保留解释 · 17 · 数值匹配 · 17 tokens
There are 60 minutes in an hour. Answer: 60.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 60.
保留解释 · 29 · 数值匹配 · 17 tokens
There are 60 minutes in an hour. Answer: 60.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 60.
probe-04 · 正确值 100
How many centimeters are there in a meter? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 20 tokens
There are 100 centimeters in a meter. Answer: 100.
保留解释 · 17 · 数值匹配 · 20 tokens
There are 100 centimeters in a meter. Answer: 100.
只留结论 · 17 · 数值不匹配 · 7 tokens
Answer: 10.
保留解释 · 29 · 数值匹配 · 20 tokens
There are 100 centimeters in a meter. Answer: 100.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 10.
probe-05 · 正确值 43
What is 17 plus 26? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 21 tokens
The sum of 17 and 26 is 43. Answer: 43
保留解释 · 17 · 数值不匹配 · 7 tokens
Answer: 33.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 43.
保留解释 · 29 · 数值不匹配 · 18 tokens
Answer: 33. 17 + 26 = 33.
只留结论 · 29 · 数值不匹配 · 7 tokens
Answer: 33.
probe-06 · 正确值 53
What is 91 minus 38? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 41 tokens
To solve the problem, you subtract 38 from 91: 91 - 38 = 53 So, the answer is 53. Answer: 53
保留解释 · 17 · 数值匹配 · 16 tokens
91 - 38 = 53 Answer: 53
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 53.
保留解释 · 29 · 数值匹配 · 17 tokens
91 - 38 = 53 Answer: 53.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 53.
probe-07 · 正确值 56
What is 7 times 8? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 6 tokens
Answer: 56
保留解释 · 17 · 数值匹配 · 16 tokens
7 times 8 is 56. Answer: 56.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 56.
保留解释 · 29 · 数值匹配 · 16 tokens
7 times 8 is 56. Answer: 56.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 56.
probe-08 · 正确值 9
What is 81 divided by 9? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To solve the problem of dividing 81 by 9, we can perform the division step-by-step: 1. **Divide the first digit**: The number 81 has one digit. - \( 8 \div 9 = 0 \) (since 9 goes into 8 zero times) 2. **Subtract from the next digit**: After subtracting 0 from 8, we have 8. - \( 8 - 0 = 8 \) 3. **Bring down the next digit**: Bring down the next digit, which is 1. - Now we have
保留解释 · 17 · 数值匹配 · 16 tokens
81 divided by 9 is 9. Answer: 9.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 9.
保留解释 · 29 · 数值匹配 · 16 tokens
81 divided by 9 is 9. Answer: 9.
只留结论 · 29 · 数值匹配 · 6 tokens
Answer: 9.
probe-09 · 正确值 6
How many sides does a hexagon have? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 14 tokens
A hexagon has 6 sides. Answer: 6.
保留解释 · 17 · 数值匹配 · 14 tokens
A hexagon has 6 sides. Answer: 6.
只留结论 · 17 · 数值匹配 · 6 tokens
Answer: 6.
保留解释 · 29 · 数值匹配 · 14 tokens
A hexagon has 6 sides. Answer: 6.
只留结论 · 29 · 数值匹配 · 6 tokens
Answer: 6.
probe-10 · 正确值 24
How many hours are there in a day? End with 'Answer: <number>'.
原始指令模型 · 数值匹配 · 17 tokens
There are 24 hours in a day. Answer: 24.
保留解释 · 17 · 数值匹配 · 17 tokens
There are 24 hours in a day. Answer: 24.
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 24.
保留解释 · 29 · 数值匹配 · 17 tokens
There are 24 hours in a day. Answer: 24.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 24.
probe-11 · 正确值 20
What is 25 percent of 80? End with 'Answer: <number>'.
原始指令模型 · 未解析 · 128 tokens · 达到长度上限
To find 25 percent of 80, you can use the following calculation:
\[ \text{Amount} = \frac{\text{Percent}}{100} \times \text{Value} \]
Plugging in the values:
\[ \text{Amount} = \frac{25}{100} \times 80 \]
Now, perform the multiplication:
\[ \text{Amount} = 0.25 \times 80 \]
\[ \text{Amount} = 20 \]
So, 25 percent of 80 is 20.保留解释 · 17 · 数值匹配 · 8 tokens
10 Answer: 20
只留结论 · 17 · 数值匹配 · 7 tokens
Answer: 20.
保留解释 · 29 · 数值匹配 · 18 tokens
25% of 80 is 20 Answer: 20.
只留结论 · 29 · 数值匹配 · 7 tokens
Answer: 20.