最全Reasoning数据集分享系列｜Chain-of-Thought (CoT) 相关数据集分享

source synthetic_math
problem Consider the terms of an arithmetic sequence: $-\frac{1}{3}, y+2, 4y, \ldots$. Solve for $y$.
solution For an arithmetic sequence, the difference between consecutive terms must be equal. Therefore, we can set up the following equations based on the sequence given: \[ (y + 2) - \left(-\frac{1}{3}\right) = 4y - (y+2) \] Simplify and solve these equations: \[ y + 2 + \frac{1}{3} = 4y - y - 2 \] \[ y + \frac{7}{3} = 3y - 2 \] \[ \frac{7}{3} + 2 = 3y - y \] \[ \frac{13}{3} = 2y \] \[ y = \frac{13}{6} \] Thus, the value of $y$ that satisfies the given arithmetic sequence is $\boxed{\frac{13}{6}}$.
messages [ { "content": "Consider the terms of an arithmetic sequence: $-\\frac{1}{3}, y+2, 4y, \\ldots$. Solve for $y$.", "role": "user" }, { "content": "For an arithmetic sequence, the difference between consecutive terms must be equal. Therefore, we can set up the following equations based on the sequence given:\n\\[ (y + 2) - \\left(-\\frac{1}{3}\\right) = 4y - (y+2) \\]\n\nSimplify and solve these equations:\n\\[ y + 2 + \\frac{1}{3} = 4y - y - 2 \\]\n\\[ y + \\frac{7}{3} = 3y - 2 \\]\n\\[ \\frac{7}{3} + 2 = 3y - y \\]\n\\[ \\frac{13}{3} = 2y \\]\n\\[ y = \\frac{13}{6} \\]\n\nThus, the value of $y$ that satisfies the given arithmetic sequence is $\\boxed{\\frac{13}{6}}$.", "role": "assistant" } ]

source Article: Phytochemistry is a branch of plant biochemistry primarily concerned with the chemical substances produced by plants during secondary metabolism. Some of these compounds are toxins such as the alkaloid coniine from hemlock. Others, such as the essential oils peppermint oil and lemon oil are useful for their aroma, as flavourings and spices (e.g., capsaicin), and in medicine as pharmaceuticals as in opium from opium poppies. Many medicinal and recreational drugs, such as tetrahydrocannabinol (active ingredient in cannabis), caffeine, morphine and nicotine come directly from plants. Others are simple derivatives of botanical natural products. For example, the pain killer aspirin is the acetyl ester of salicylic acid, originally isolated from the bark of willow trees, and a wide range of opiate painkillers like heroin are obtained by chemical modification of morphine obtained from the opium poppy. Popular stimulants come from plants, such as caffeine from coffee, tea and chocolate, and nicotine from tobacco. Most alcoholic beverages come from fermentation of carbohydrate-rich plant products such as barley (beer), rice (sake) and grapes (wine). Now answer this question: Where do some medicines and recreational drugs come from?
target from plants
rationale The article states that many medicinal and recreational drugs, such as tetrahydrocannabinol (active ingredient in cannabis), caffeine, morphine and nicotine come directly from plants. These are some examples of the medicines found in plants mentioned by the author. Thus it can be stated with certainty that some medicines do indeed come from plants. Therefore, "from plants" is the correct answer option to this question based on the context provided."
task squad_v1
type CoT

instruction There were students from three different schools taking part in a debate organized by the town's mayor on a stage. The first school had twice as many students as the second school, and the second school had 40 more students than the third school. If the third school had 200 students, and after the debate was over, every student shook the mayor's hand, calculate the total number of students who shook the mayor's hand on the stage. Thoughts? Step-by-step reasoning:
input
output If the third school had 200 students, and the second school had 40 more students than the third school, the second school had 200 + 40 = 240 students. The third and second schools had 240 + 200 = 440 students on stage taking part in the debate. Since the first school had twice as many students as the second school, and the second school had 240 students, the first school had 240 * 2 = 480 students on stage taking part in the debate. If after the debate was over, every student at the stage shook the mayor's hand, the number of students who shook the mayor's hand is 480 + 440 = 920 students. Thus, the answer is 920.

question Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
answer Natalia sold 48/2 = <<48/2=24>>24 clips in May. Natalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May. #### 72
prompt Q: Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? A:
response Natalia sold 48/2 = <<48/2=24>>24 clips in May. Natalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May. #### 72