problem stringlengths 74 1.12k | solution stringlengths 1 42 | win_rate float64 0.13 0.88 | completions listlengths 8 8 | rewards listlengths 8 8 | num_completions int64 8 8 | task stringclasses 16
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Determine whether the Head is a part, portion, or makeup of the Tail. Answer Yes or No. Head: car<sep>Tail: radiator | Yes | 0.875 | [
"<think>\nOkay, let's see. The question is whether the \"Head\" is a part, portion, or makeup of the \"Tail.\" The given items are \"Head: car\" and \"Tail: radiator.\" So, I need to figure out the relationship between the two.\n\nFirst, let me think about what each term refers to. The Head is \"car,\" and the Tail... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Respond with Yes or No. Head and Tail are separated by <sep>. Input: umbrella<sep>gore | Yes | 0.625 | [
"<think>\nOkay, let's see. The question is about determining whether the Head is a part, portion, or makeup of the Tail. The input given is \"umbrella<sep>gore\".\n\nFirst, I need to visualize the structure of an umbrella. An umbrella typically has a body, a handle, and a tail. The tail is the part that points down... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Answer Yes or No. Head: lasso<sep>Tail: noose | Yes | 0.75 | [
"<think>\nOkay, let's see. The question is asking whether the Head is a part, portion, or makeup of the Tail. The given information is that the Tail is a noose. The Head is lasso. So I need to figure out if the lasso is part, portion, or makeup of the noose.\n\nFirst, let me break down the terms. A part of somethin... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Head: house<sep>Tail: wall. Respond with Yes or No. | Yes | 0.75 | [
"<think>\nOkay, let's see. The question is whether the Head is a part, portion, or makeup of the Tail. The given elements are \"House\" and \"Wall\". The answer should be Yes or No.\n\nFirst, I need to understand what \"Head\" and \"Tail\" refer to here. In the context of a house and a wall, maybe they're talking a... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Head: PersonX achieves PersonX's dream<sep>Tail: to have an image. Answer either Yes or No. | No | 0.125 | [
"<think>\nOkay, let's tackle this problem. The question is whether the Head \"PersonX achieves PersonX's dream\" is a part, portion, or makeup of the Tail \"to have an image.\" The options are Yes or No.\n\nFirst, I need to understand the relationship between the two statements. The Head is a statement about Person... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Head: PersonX always wore<sep>Tail: to see what PersonX's favorite clothes are. Choose one option: (A) Yes (B) No (C) Not enough information (D) Both (E) Neither (F) Related but not part (G) Opposite (H) Implies (I) Contradicts (J) Irrelevant | B | 0.125 | [
"<think>\nOkay, let's try to figure this out. The question is asking whether the Head is a part, portion, or makeup of the Tail. The Head is described as \"PersonX always wore Tail: to see what PersonX's favorite clothes are.\"\n\nFirst, I need to understand the relationship between the Head and the Tail. The Tail ... | [
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Task: Decide whether the Head event is a part, portion, or makeup of the Tail event. Answer Yes or No. PersonX is the subject. Head: PersonX applies sunscreen<sep>Tail: slips on concrete | No | 0.125 | [
"<think>\nOkay, let's see. The problem is to determine whether the Head event is part, portion, or makeup of the Tail event. The Head is \"PersonX applies sunscreen,\" and the Tail is \"slips on concrete.\" \n\nFirst, I need to understand the relationship between these two events. The Head is the action of applying... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Answer Yes or No. Head: tail<sep>Tail: horizontal tail | Yes | 0.5 | [
"<think>\nOkay, let's see. The question is asking whether the Head is a part, portion, or makeup of the Tail. The given information is that the Tail is a horizontal tail. So, I need to determine if the Head is part, portion, or makeup of the Tail.\n\nFirst, let me recall what these terms mean. A part of something r... | [
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You are given Head and Tail separated by <sep>. Determine whether the Head is a part, portion, or makeup of the Tail. Respond with Yes or No. Head: collar<sep>Tail: facing | Yes | 0.875 | [
"<think>\nOkay, let's tackle this problem step by step. The user provided the Head as \"collar\" and the Tail as \"facing\", separated by <sep>. I need to determine if the Head is a part, portion, or makeup of the Tail. The answer should be Yes or No.\n\nFirst, I should understand the relationship between the Head ... | [
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You are given two phrases: Head and Tail, separated with <sep>. Determine whether the Head is a part, portion, or makeup of the Tail. Answer must be exactly Yes or No. Input: Head: lead pencil<sep>Tail: lead | Yes | 0.875 | [
"<think>\nOkay, let's see. The problem is to determine if the Head is part, portion, or makeup of the Tail based on the given phrases. The Head is \"lead pencil\" and the Tail is \"lead\". \n\nFirst, I need to understand what each term means. The Tail is \"lead\", so I need to check if the Head is related to that. ... | [
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You are given two phrases separated by <sep>. Determine whether the Head is a part, portion, or makeup of the Tail. Respond with the letter of the correct option.
Input: Head: comic strip<sep>Tail: frame
Options: (A) Yes (B) No | A | 0.125 | [
"<think>\nOkay, let's tackle this problem. So, the input has two phrases separated by <sep>, and I need to determine if the Head is part, portion, or makeup of the Tail. The Head is \"comic strip,\" and the Tail is \"frame.\" The options are (A) Yes, (B) No.\n\nFirst, I should understand the relationship between th... | [
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Given Head and Tail separated by <sep>. Head: car<sep>Tail: wheel. Determine whether the Head is a part, portion, or makeup of the Tail. Answer Yes or No. | Yes | 0.625 | [
"<think>\nOkay, let's tackle this problem. So, the question is about determining whether the Head is part, portion, or makeup of the Tail. The given information is Head: car and Tail: wheel. And the answer needs to be Yes or No.\n\nFirst, I need to understand the relationship between the Head and Tail. The Head is ... | [
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Determine whether the Head is a part, portion, or makeup of the Tail. Head: church Tail: church tower Choose the correct option from (A) through (J): (A) Yes (B) No (C) Maybe (D) Unknown (E) Irrelevant (F) Both (G) Neither (H) Depends (I) Not enough info (J) Other | A | 0.125 | [
"<think>\nOkay, let's try to figure out whether the Head \"church\" is part, portion, or makeup of the Tail \"church tower\". The options are A to J. \n\nFirst, I need to understand the relationship between the two terms. The Tail is described as a \"church tower\". So, the Tail is a church tower. The Head is \"chu... | [
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Given two phrases Head and Tail separated by <sep>, determine whether the Head is a part, portion, or makeup of the Tail. Answer Yes or No. Head: house<sep>Tail: door | Yes | 0.625 | [
"<think>\nOkay, let's see. The user has given me two phrases: Head is \"house\" and Tail is \"door\", separated by <sep>. I need to determine if \"house\" is a part, portion, or makeup of \"door\". The answer should be Yes or No.\n\nFirst, I should recall the definitions. Part usually means something that makes up ... | [
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