{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Arnold`, `Peter`, `Eric`\n - The mothers' names in different houses are unique: `Penny`, `Aniya`, `Kailyn`, `Janelle`, `Holly`\n - The people keep unique animals: `cat`, `bird`, `dog`, `fish`, `horse`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `cherry`, `watermelon`, `lime`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `teacher`, `lawyer`\n\n## Clues:\n1. Bob is the Desert smoothie lover.\n2. The cat lover is the person who is an engineer.\n3. The person whose mother's name is Penny is the bird keeper.\n4. The person who is a lawyer is the fish enthusiast.\n5. The person who likes Cherry smoothies is directly left of Alice.\n6. The Watermelon smoothie lover and the person who is an engineer are next to each other.\n7. The person whose mother's name is Holly is the dog owner.\n8. The person who is a teacher is in the first house.\n9. The person whose mother's name is Penny is in the second house.\n10. The person who drinks Lime smoothies is the person who is a doctor.\n11. The person whose mother's name is Janelle is the person who is a lawyer.\n12. Arnold is not in the third house.\n13. The Dragonfruit smoothie lover is directly left of Peter.\n14. The person whose mother's name is Kailyn is the Dragonfruit smoothie lover.\n15. Arnold is somewhere to the right of Peter.\n16. The dog owner is not in the fifth house.\n17. The Watermelon smoothie lover is somewhere to the left of the Desert smoothie lover.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - The people are of nationalities: `swede`, `dane`, `norwegian`, `brit`\n\n## Clues:\n1. Eric is in the second house.\n2. The Swedish person is in the first house.\n3. The Dane is Arnold.\n4. The British person is Alice.\n5. Alice is in the third house.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Arnold`, `Eric`, `Alice`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `cherry`, `lime`, `watermelon`\n\n## Clues:\n1. The Watermelon smoothie lover is somewhere to the right of the Dragonfruit smoothie lover.\n2. The Dragonfruit smoothie lover is somewhere to the right of Eric.\n3. The Desert smoothie lover is somewhere to the right of the Dragonfruit smoothie lover.\n4. The Watermelon smoothie lover is not in the fourth house.\n5. Alice is the Dragonfruit smoothie lover.\n6. Peter is in the first house.\n7. Arnold is the Desert smoothie lover.\n8. The person who drinks Lime smoothies is not in the first house.\n\n\nChoices:\n0. desert\n1. watermelon\n2. lime\n3. dragonfruit\n4. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n - Each person has a unique hobby: `cooking`, `gardening`, `painting`, `photography`\n - Each person has a unique level of education: `master`, `associate`, `high school`, `bachelor`\n - Each person has a unique type of pet: `fish`, `bird`, `dog`, `cat`\n\n## Clues:\n1. The person who loves classical music is not in the fourth house.\n2. Arnold is the person with a master's degree.\n3. Alice is the person who owns a dog.\n4. The person who enjoys gardening is not in the third house.\n5. The person with a bachelor's degree is Alice.\n6. Alice is the photography enthusiast.\n7. Arnold is directly left of the person who loves pop music.\n8. The person with an associate's degree is directly left of the photography enthusiast.\n9. The person who loves rock music is the person who loves cooking.\n10. The person with an associate's degree is Eric.\n11. The person who has a cat is the person who loves jazz music.\n12. Arnold is somewhere to the right of the person with an aquarium of fish.\n\n\nChoices:\n0. dog\n1. cat\n2. bird\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Bob`, `Peter`, `Alice`\n - Everyone has something unique for lunch: `spaghetti`, `stew`, `grilled cheese`, `stir fry`, `pizza`\n - Each person has a favorite color: `red`, `green`, `white`, `blue`, `yellow`\n\n## Clues:\n1. The person who loves blue is somewhere to the left of the person who is a pizza lover.\n2. Bob is somewhere to the left of the person who loves white.\n3. Alice is directly left of the person who loves the stew.\n4. The person who loves stir fry is in the fourth house.\n5. The person who loves white is Peter.\n6. The person who loves the spaghetti eater is Bob.\n7. The person whose favorite color is green is Alice.\n8. The person who loves blue is in the third house.\n9. The person who loves yellow is somewhere to the right of the person who loves stir fry.\n10. Alice is in the first house.\n11. The person who loves yellow is Arnold.\n\n\nChoices:\n0. white\n1. blue\n2. yellow\n3. green\n4. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - People own unique car models: `honda civic`, `tesla model 3`, `toyota camry`, `ford f150`\n\n## Clues:\n1. The person who is very short is in the fourth house.\n2. The person who owns a Toyota Camry is not in the second house.\n3. The person who is very short is Arnold.\n4. The person who owns a Toyota Camry is Peter.\n5. The person who has an average height is not in the second house.\n6. The person who is short is in the third house.\n7. The person who is short is Eric.\n8. The person who owns a Ford F-150 is not in the fourth house.\n9. There is one house between the person who owns a Toyota Camry and the person who owns a Tesla Model 3.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Peter`, `Arnold`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `huawei p50`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The person who uses a Google Pixel 6 is in the fifth house.\n2. Peter and the person who uses a Huawei P50 are next to each other.\n3. The person who uses a Huawei P50 is directly left of Bob.\n4. Arnold is not in the second house.\n5. Bob is somewhere to the left of the person who uses a Samsung Galaxy S21.\n6. The person who uses a OnePlus 9 is in the first house.\n7. The person who uses a Samsung Galaxy S21 and Eric are next to each other.\n\n\nChoices:\n0. samsung galaxy s21\n1. huawei p50\n2. google pixel 6\n3. iphone 13\n4. oneplus 9\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n - Each person has a unique birthday month: `jan`, `feb`, `sept`, `april`\n - The people are of nationalities: `swede`, `dane`, `brit`, `norwegian`\n\n## Clues:\n1. The person who enjoys mountain retreats is Alice.\n2. The Norwegian is somewhere to the left of the person whose birthday is in September.\n3. The person who prefers city breaks is the British person.\n4. Alice and Eric are next to each other.\n5. The person who likes going on cruises is not in the fourth house.\n6. Alice is somewhere to the left of the person whose birthday is in January.\n7. The person who enjoys mountain retreats is the Norwegian.\n8. Alice is directly left of the Swedish person.\n9. Eric is in the third house.\n10. The person whose birthday is in April is Peter.\n11. The Dane is the person whose birthday is in September.\n\n\nChoices:\n0. swede\n1. dane\n2. norwegian\n3. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - Each person has a unique hobby: `gardening`, `photography`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. The person who enjoys gardening is directly left of the person who loves eating grilled cheese.\n2. Eric is directly left of the person who is a doctor.\n3. The person who is very short is not in the first house.\n\n\nChoices:\n0. gardening\n1. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique heights: `short`, `very short`\n - Each person has a unique birthday month: `sept`, `april`\n\n## Clues:\n1. The person who is short is Eric.\n2. Eric is the person whose birthday is in April.\n3. The person who is short is in the second house.\n\n\nChoices:\n0. sept\n1. april\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. Arnold is in the first house.\n2. The person who has brown hair is not in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people keep unique animals: `cat`, `horse`\n - People have unique heights: `short`, `very short`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n\n## Clues:\n1. The person who loves beach vacations is directly left of Eric.\n2. The person who loves beach vacations and the person who is very short are next to each other.\n3. The cat lover is the person who is short.\n4. The person who is short is the person who loves mystery books.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has a favorite color: `red`, `green`, `white`, `yellow`\n - The people keep unique animals: `fish`, `horse`, `cat`, `bird`\n\n## Clues:\n1. Alice and Peter are next to each other.\n2. The person whose favorite color is red is directly left of the cat lover.\n3. The person whose favorite color is green is the person who keeps horses.\n4. Arnold is the person who loves white.\n5. The person whose favorite color is green is directly left of the person who loves white.\n6. Peter is the person whose favorite color is green.\n7. The bird keeper is Eric.\n\n\nChoices:\n0. green\n1. red\n2. white\n3. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a carnations arrangement and Eric are next to each other.\n2. The person who loves a carnations arrangement is in the first house.\n3. The person who loves eating grilled cheese is in the first house.\n\n\nChoices:\n0. grilled cheese\n1. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`, `Bob`\n - People own unique car models: `toyota camry`, `tesla model 3`, `honda civic`, `ford f150`, `bmw 3 series`\n\n## Clues:\n1. There are two houses between the person who owns a Tesla Model 3 and the person who owns a Toyota Camry.\n2. There are two houses between the person who owns a Honda Civic and Bob.\n3. Arnold is somewhere to the right of the person who owns a Tesla Model 3.\n4. Eric is in the first house.\n5. Peter is directly left of the person who owns a Ford F-150.\n6. The person who owns a Ford F-150 is in the fourth house.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Eric\n3. Peter\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`, `Bob`\n - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Kailyn`, `Aniya`, `Holly`\n - People have unique hair colors: `black`, `red`, `blonde`, `gray`, `brown`\n - Each person has an occupation: `doctor`, `lawyer`, `artist`, `teacher`, `engineer`\n\n## Clues:\n1. The person whose mother's name is Penny is Eric.\n2. The person who is an engineer is The person whose mother's name is Aniya.\n3. The person who has red hair is the person who is an engineer.\n4. The person whose mother's name is Holly is somewhere to the right of The person whose mother's name is Aniya.\n5. The person who has brown hair is in the fifth house.\n6. Alice is The person whose mother's name is Kailyn.\n7. Peter is in the fifth house.\n8. Arnold is the person who is an engineer.\n9. The person who has blonde hair is somewhere to the left of The person whose mother's name is Penny.\n10. The person whose mother's name is Janelle is Peter.\n11. The person who is a doctor and The person whose mother's name is Aniya are next to each other.\n12. The person who is a teacher is The person whose mother's name is Janelle.\n13. The person whose mother's name is Penny is somewhere to the left of the person who is a lawyer.\n14. The person who has gray hair is in the second house.\n\n\nChoices:\n0. doctor\n1. teacher\n2. lawyer\n3. engineer\n4. artist\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n\n## Clues:\n1. The person who loves pop music is directly left of the tea drinker.\n2. The person who is a pizza lover is directly left of the person who loves classical music.\n3. Eric is the person who loves classical music.\n4. Arnold is the person who loves pop music.\n5. The person who loves the spaghetti eater is in the third house.\n6. The person who likes milk and Arnold are next to each other.\n\n\nChoices:\n0. rock\n1. classical\n2. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - People have unique favorite sports: `soccer`, `basketball`\n - Each person has a unique favorite drink: `water`, `tea`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n\n## Clues:\n1. The Desert smoothie lover is somewhere to the right of the person living in a colonial-style house.\n2. The person who likes Cherry smoothies is the person who loves basketball.\n3. Arnold is in the second house.\n4. The person who loves basketball is the tea drinker.\n\n\nChoices:\n0. water\n1. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`, `romance`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n - People have unique heights: `average`, `very short`, `short`\n\n## Clues:\n1. The person who likes Cherry smoothies is not in the second house.\n2. Arnold is the person who loves mystery books.\n3. The person whose birthday is in January is not in the first house.\n4. The person who is very short is the person who loves romance books.\n5. The person who loves mystery books is the person whose birthday is in September.\n6. The person who has an average height is the Desert smoothie lover.\n7. Eric is in the first house.\n8. The Watermelon smoothie lover is the person who is short.\n9. The Watermelon smoothie lover is Eric.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n\n## Clues:\n1. The Watermelon smoothie lover is the person who loves the boquet of lilies.\n2. Arnold is not in the third house.\n3. The person with a bachelor's degree is not in the second house.\n4. Peter is the person who loves the boquet of lilies.\n5. The person who loves a bouquet of daffodils is the person with an aquarium of fish.\n6. Eric is the person with an associate's degree.\n7. Eric is not in the third house.\n8. The person who likes Cherry smoothies is not in the first house.\n9. The person with a bachelor's degree is not in the third house.\n10. Eric is the person who owns a dog.\n\n\nChoices:\n0. cherry\n1. watermelon\n2. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`\n\n## Clues:\n1. The person who loves cooking is directly left of Arnold.\n2. The person who enjoys gardening is in the third house.\n3. Eric is the photography enthusiast.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n\n## Clues:\n1. The person's child is named Bella is in the second house.\n2. Eric is the person's child is named Bella.\n\n\nChoices:\n0. Fred\n1. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite sports: `soccer`, `basketball`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person whose mother's name is Aniya is the person who loves basketball.\n2. Eric is the person who loves basketball.\n3. The person who loves soccer is the person with an associate's degree.\n4. The person who loves basketball is not in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Alice`, `Peter`, `Arnold`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `tulips`, `roses`, `lilies`\n - The people are of nationalities: `dane`, `swede`, `brit`, `norwegian`, `german`\n - Each person has an occupation: `artist`, `lawyer`, `engineer`, `teacher`, `doctor`\n\n## Clues:\n1. The person who is an engineer is Bob.\n2. The person who is a lawyer is not in the second house.\n3. The Dane is in the third house.\n4. The British person is Eric.\n5. The person who is a doctor is the Norwegian.\n6. The person who loves the rose bouquet is not in the second house.\n7. There is one house between Peter and the person who loves a bouquet of daffodils.\n8. The German is the person who is a teacher.\n9. The Swedish person is not in the first house.\n10. Peter is directly left of the person who loves the boquet of lilies.\n11. The person who loves the boquet of lilies is directly left of Bob.\n12. The person who loves the rose bouquet is somewhere to the right of the person who is a lawyer.\n13. Peter is somewhere to the left of Arnold.\n14. There are two houses between the person who loves a carnations arrangement and the person who loves the boquet of lilies.\n15. The person who is a teacher is not in the fourth house.\n\n\nChoices:\n0. Bob\n1. Alice\n2. Arnold\n3. Peter\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Each person has a unique hobby: `painting`, `gardening`, `photography`, `cooking`\n - The people keep unique animals: `horse`, `bird`, `fish`, `cat`\n\n## Clues:\n1. Peter is the cat lover.\n2. There is one house between the person who paints as a hobby and Peter.\n3. Alice is the fish enthusiast.\n4. The person who enjoys gardening is somewhere to the right of the person who paints as a hobby.\n5. Arnold is not in the second house.\n6. The photography enthusiast is not in the third house.\n7. The bird keeper is the person who enjoys gardening.\n8. Eric is the bird keeper.\n9. Alice is in the first house.\n\n\nChoices:\n0. bird\n1. horse\n2. cat\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - They all have a unique favorite flower: `roses`, `carnations`, `daffodils`, `lilies`\n - Each person lives in a unique style of house: `victorian`, `craftsman`, `colonial`, `ranch`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blue master`, `pall mall`\n\n## Clues:\n1. The person in a ranch-style home is in the third house.\n2. The person who smokes Blue Master is somewhere to the left of the person residing in a Victorian house.\n3. There are two houses between Eric and the person who loves the rose bouquet.\n4. The Prince smoker is Peter.\n5. The person in a Craftsman-style house is the Dunhill smoker.\n6. The Dunhill smoker is the person who loves a carnations arrangement.\n7. Arnold is in the fourth house.\n8. The Prince smoker is in the second house.\n9. The person who loves the boquet of lilies is the person who smokes Blue Master.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite music genres: `pop`, `rock`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique favorite sports: `soccer`, `basketball`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. Eric is the person who loves rock music.\n2. Arnold is in the first house.\n3. The person who loves pop music is the person who has black hair.\n4. The person whose favorite color is red is not in the first house.\n5. The person whose favorite color is red is the person who loves basketball.\n\n\nChoices:\n0. brown\n1. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Peter`, `Alice`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`, `stir fry`\n - The people keep unique animals: `bird`, `horse`, `cat`, `fish`, `dog`\n - Each person has a unique level of education: `master`, `doctorate`, `high school`, `associate`, `bachelor`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. The person who is a pizza lover is somewhere to the right of Peter.\n3. Peter is in the first house.\n4. The person with a bachelor's degree is the person who is a pizza lover.\n5. The cat lover is the person with a master's degree.\n6. The person who loves stir fry is the person with a doctorate.\n7. The person with a high school diploma is directly left of the person with a master's degree.\n8. The dog owner is the person who loves stir fry.\n9. There is one house between Arnold and the person with an associate's degree.\n10. The person who loves eating grilled cheese is the fish enthusiast.\n11. Arnold is in the second house.\n12. The person who keeps horses is Arnold.\n13. Eric is directly left of the person with an associate's degree.\n14. The person who loves the spaghetti eater is the cat lover.\n\n\nChoices:\n0. Bob\n1. Arnold\n2. Eric\n3. Alice\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - People have unique favorite music genres: `jazz`, `rock`, `classical`, `pop`\n\n## Clues:\n1. Alice is directly left of Peter.\n2. The person who loves classical music is directly left of Peter.\n3. Arnold is the person who loves jazz music.\n4. The person who loves rock music is not in the second house.\n5. The person who loves rock music is directly left of the person who loves pop music.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Eric\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`\n - Each person has a unique hobby: `painting`, `knitting`, `cooking`, `photography`, `gardening`\n\n## Clues:\n1. Alice is in the fifth house.\n2. Bob is directly left of the person who enjoys gardening.\n3. The person who loves cooking and the person who paints as a hobby are next to each other.\n4. The person who paints as a hobby is not in the third house.\n5. The photography enthusiast is not in the third house.\n6. Arnold is in the fourth house.\n7. Bob is in the first house.\n8. The person who enjoys knitting is directly left of Eric.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `associate`, `high school`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n\n## Clues:\n1. There is one house between Peter and the person with a bachelor's degree.\n2. The photography enthusiast is Arnold.\n3. The person with a high school diploma is the person who enjoys gardening.\n4. Peter is the one who only drinks water.\n5. Peter is directly left of the person who likes milk.\n6. The tea drinker is the person who loves cooking.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `black`, `brown`\n - People have unique favorite sports: `soccer`, `basketball`\n - Each person has an occupation: `doctor`, `engineer`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. The person who loves basketball is not in the first house.\n2. The person who is an engineer is the person whose birthday is in September.\n3. Arnold is the person who is an engineer.\n4. The person who has brown hair is somewhere to the left of the person whose birthday is in September.\n\n\nChoices:\n0. black\n1. brown\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Each person has a unique level of education: `bachelor`, `high school`, `master`, `associate`, `doctorate`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `colonial`, `modern`, `ranch`\n\n## Clues:\n1. The person in a modern-style house is somewhere to the left of the person in a ranch-style home.\n2. Eric is the person residing in a Victorian house.\n3. The person in a ranch-style home is not in the fourth house.\n4. Peter is in the first house.\n5. The person with a doctorate is in the first house.\n6. The person in a modern-style house is in the second house.\n7. The person with a high school diploma is the person in a Craftsman-style house.\n8. The person residing in a Victorian house is directly left of Bob.\n9. The person residing in a Victorian house is the person with a bachelor's degree.\n10. The person with an associate's degree is somewhere to the left of Arnold.\n11. The person with a high school diploma is in the fifth house.\n\n\nChoices:\n0. Bob\n1. Eric\n2. Peter\n3. Arnold\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - People have unique favorite book genres: `science fiction`, `romance`, `mystery`\n\n## Clues:\n1. The person who likes Cherry smoothies is somewhere to the left of the person who loves mystery books.\n2. Arnold is the person who loves mystery books.\n3. The person who loves science fiction books is not in the first house.\n4. The Desert smoothie lover is directly left of the person who loves mystery books.\n5. Peter is in the first house.\n\n\nChoices:\n0. desert\n1. watermelon\n2. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a favorite color: `red`, `white`, `yellow`\n\n## Clues:\n1. The person whose favorite color is red and Peter are next to each other.\n2. The person who loves yellow is in the third house.\n3. Eric is the person whose favorite color is red.\n4. Eric is not in the second house.\n\n\nChoices:\n0. red\n1. white\n2. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - The people keep unique animals: `cat`, `horse`, `bird`\n\n## Clues:\n1. The Prince smoker is The person whose mother's name is Janelle.\n2. The person's child is named Bella is somewhere to the left of the person's child is named Meredith.\n3. Peter is the person partial to Pall Mall.\n4. There is one house between the cat lover and Eric.\n5. The person whose mother's name is Aniya is the person's child is named Bella.\n6. The person's child is named Meredith is Peter.\n7. The bird keeper is somewhere to the right of Peter.\n\n\nChoices:\n0. prince\n1. blue master\n2. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Bob`, `Alice`, `Arnold`\n - People have unique heights: `very short`, `average`, `tall`, `short`, `very tall`\n - People own unique car models: `toyota camry`, `bmw 3 series`, `honda civic`, `ford f150`, `tesla model 3`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`\n\n## Clues:\n1. Arnold is in the fifth house.\n2. The person who is short is the person who owns a Tesla Model 3.\n3. The person who has an average height is somewhere to the right of Alice.\n4. The person who owns a Honda Civic is not in the third house.\n5. The person who owns a BMW 3 Series is directly left of Arnold.\n6. The person who uses a OnePlus 9 is directly left of the person who owns a Ford F-150.\n7. Alice is directly left of the person who is very short.\n8. The person who uses an iPhone 13 is not in the second house.\n9. The person who uses a Google Pixel 6 is Arnold.\n10. The person who uses a Google Pixel 6 is the person who is tall.\n11. Peter is the person who uses a Huawei P50.\n12. Peter is directly left of the person who uses a OnePlus 9.\n13. Bob is the person who owns a Tesla Model 3.\n\n\nChoices:\n0. oneplus 9\n1. samsung galaxy s21\n2. iphone 13\n3. huawei p50\n4. google pixel 6\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique hair colors: `black`, `brown`\n - People have unique favorite sports: `basketball`, `soccer`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n\n## Clues:\n1. The Desert smoothie lover is Arnold.\n2. The person who has brown hair is the person who loves basketball.\n3. Arnold is somewhere to the left of the person who has black hair.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`\n - People own unique car models: `tesla model 3`, `honda civic`, `toyota camry`, `ford f150`\n - The people keep unique animals: `fish`, `cat`, `bird`, `horse`\n\n## Clues:\n1. The cat lover is somewhere to the right of the fish enthusiast.\n2. Eric is the person who owns a Ford F-150.\n3. The person who owns a Honda Civic is in the fourth house.\n4. The person who is a pizza lover is the fish enthusiast.\n5. The person who keeps horses is somewhere to the left of Arnold.\n6. Arnold is the person who loves the spaghetti eater.\n7. The person who owns a Toyota Camry is the person who loves the stew.\n8. Alice and Arnold are next to each other.\n9. Alice is in the first house.\n\n\nChoices:\n0. grilled cheese\n1. pizza\n2. stew\n3. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Kailyn`, `Holly`\n - Each person has a unique level of education: `master`, `high school`, `bachelor`, `associate`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. The person with a master's degree is somewhere to the left of The person whose mother's name is Aniya.\n3. Alice is not in the second house.\n4. The person with a high school diploma is the person who loves classical music.\n5. The person with a master's degree is in the third house.\n6. The person whose mother's name is Janelle is Eric.\n7. The person with a master's degree is Arnold.\n8. The person whose mother's name is Holly is in the second house.\n9. Peter is the person with a high school diploma.\n10. The person with an associate's degree is the person who loves rock music.\n\n\nChoices:\n0. Aniya\n1. Kailyn\n2. Janelle\n3. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - The people keep unique animals: `bird`, `horse`, `cat`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is directly left of the person who is a teacher.\n2. The person who uses a Samsung Galaxy S21 and Arnold are next to each other.\n3. The person who is an engineer is the person who keeps horses.\n4. The person who uses an iPhone 13 is the cat lover.\n5. The bird keeper is the person who uses a Samsung Galaxy S21.\n6. The person who loves cooking is not in the third house.\n7. The person who enjoys gardening is directly left of the person who is a teacher.\n8. There is one house between Eric and the person who uses an iPhone 13.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n\n## Clues:\n1. Peter is somewhere to the right of the person who loves romance books.\n2. The person with a bachelor's degree is in the second house.\n3. The person with a bachelor's degree is the person who loves science fiction books.\n4. The person with an associate's degree is Peter.\n5. Arnold and Peter are next to each other.\n\n\nChoices:\n0. science fiction\n1. romance\n2. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - The people are of nationalities: `dane`, `swede`, `brit`\n - The people keep unique animals: `bird`, `horse`, `cat`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n\n## Clues:\n1. The bird keeper is somewhere to the left of the person who keeps horses.\n2. The Swedish person is in the first house.\n3. The British person is in the second house.\n4. The cat lover is in the second house.\n5. The person who loves science fiction books is directly left of Eric.\n6. The person who loves mystery books is in the third house.\n7. The person who loves romance books is Peter.\n\n\nChoices:\n0. brit\n1. dane\n2. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`\n - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`\n - Everyone has a favorite smoothie: `dragonfruit`, `desert`, `watermelon`, `cherry`\n - People have unique favorite book genres: `fantasy`, `romance`, `mystery`, `science fiction`\n\n## Clues:\n1. The Dragonfruit smoothie lover is The person whose mother's name is Janelle.\n2. Alice is directly left of the person who loves science fiction books.\n3. The Desert smoothie lover is directly left of the Watermelon smoothie lover.\n4. The person whose mother's name is Holly is the person who loves mystery books.\n5. Alice is somewhere to the left of Peter.\n6. The person who loves fantasy books is Peter.\n7. Peter and the person who likes Cherry smoothies are next to each other.\n8. The person who loves romance books is not in the first house.\n9. The person whose mother's name is Aniya is somewhere to the right of the Dragonfruit smoothie lover.\n10. The person who loves science fiction books is Arnold.\n\n\nChoices:\n0. Janelle\n1. Holly\n2. Kailyn\n3. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Each person has a unique level of education: `bachelor`, `high school`, `master`, `associate`, `doctorate`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `colonial`, `modern`, `ranch`\n\n## Clues:\n1. The person in a modern-style house is somewhere to the left of the person in a ranch-style home.\n2. Eric is the person residing in a Victorian house.\n3. The person in a ranch-style home is not in the fourth house.\n4. Peter is in the first house.\n5. The person with a doctorate is in the first house.\n6. The person in a modern-style house is in the second house.\n7. The person with a high school diploma is the person in a Craftsman-style house.\n8. The person residing in a Victorian house is directly left of Bob.\n9. The person residing in a Victorian house is the person with a bachelor's degree.\n10. The person with an associate's degree is somewhere to the left of Arnold.\n11. The person with a high school diploma is in the fifth house.\n\n\nChoices:\n0. bachelor\n1. doctorate\n2. master\n3. associate\n4. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`, `master`\n\n## Clues:\n1. The coffee drinker is in the first house.\n2. Arnold is in the first house.\n3. Eric is in the second house.\n4. The person with an associate's degree is Peter.\n5. The person with a bachelor's degree is the person who likes milk.\n6. The one who only drinks water is in the fourth house.\n7. Eric is the person with a master's degree.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - The people are of nationalities: `swede`, `dane`, `norwegian`, `brit`\n\n## Clues:\n1. Eric is in the second house.\n2. The Swedish person is in the first house.\n3. The Dane is Arnold.\n4. The British person is Alice.\n5. Alice is in the third house.\n\n\nChoices:\n0. brit\n1. dane\n2. norwegian\n3. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `coffee`, `milk`\n - Each person has a unique level of education: `master`, `associate`, `high school`, `bachelor`\n - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`\n - Each person has a favorite color: `yellow`, `white`, `green`, `red`\n\n## Clues:\n1. Eric is the person with an associate's degree.\n2. The person whose mother's name is Kailyn is the person who loves yellow.\n3. The person who likes milk is in the third house.\n4. The person who likes milk is somewhere to the right of the person who loves white.\n5. The person with a bachelor's degree is in the first house.\n6. The person whose mother's name is Aniya is not in the second house.\n7. The one who only drinks water is Arnold.\n8. The person whose favorite color is green is Peter.\n9. The person whose favorite color is red is somewhere to the left of the person who loves white.\n10. The person with a high school diploma is directly left of The person whose mother's name is Janelle.\n11. The person with a high school diploma is the tea drinker.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n3. coffee\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n\n## Clues:\n1. The person who loves mystery books is directly left of Peter.\n2. The Swedish person is the person who likes milk.\n3. Arnold is the Dane.\n4. Eric is somewhere to the left of the tea drinker.\n5. Eric is not in the first house.\n6. Peter is the person who loves science fiction books.\n\n\nChoices:\n0. swede\n1. dane\n2. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The people keep unique animals: `horse`, `cat`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a carnations arrangement is Eric.\n2. The person who loves a bouquet of daffodils is the person who loves eating grilled cheese.\n3. The person who loves eating grilled cheese is in the second house.\n4. The cat lover is in the first house.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Bob`, `Alice`\n - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blends`, `pall mall`, `blue master`\n - Everyone has a favorite smoothie: `lime`, `cherry`, `dragonfruit`, `watermelon`, `desert`\n - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `iphone 13`, `huawei p50`, `google pixel 6`\n\n## Clues:\n1. The Prince smoker is the Desert smoothie lover.\n2. There is one house between Eric and Alice.\n3. The person who is short is the person who smokes many unique blends.\n4. The person who uses an iPhone 13 is directly left of the person who smokes Blue Master.\n5. The person who has an average height is the Dunhill smoker.\n6. Eric is the person who is very tall.\n7. Arnold is directly left of the person who uses a Huawei P50.\n8. Bob is not in the fourth house.\n9. Eric is directly left of the person who likes Cherry smoothies.\n10. Bob is the Dunhill smoker.\n11. The Dragonfruit smoothie lover is Bob.\n12. The person who uses an iPhone 13 and the person who uses a OnePlus 9 are next to each other.\n13. The person who uses a Samsung Galaxy S21 is the person who is short.\n14. There are two houses between the person who is very tall and the Dragonfruit smoothie lover.\n15. The person who uses an iPhone 13 is Eric.\n16. The Desert smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n17. Arnold and the person who is very short are next to each other.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Arnold\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n - The people keep unique animals: `bird`, `cat`, `horse`\n\n## Clues:\n1. The bird keeper is not in the second house.\n2. The person who loves beach vacations is somewhere to the left of Arnold.\n3. The bird keeper and the person who keeps horses are next to each other.\n4. The bird keeper is not in the third house.\n5. The person who is a pizza lover is not in the second house.\n6. The person who prefers city breaks is the bird keeper.\n7. The person who smokes Blue Master is not in the second house.\n8. The person who loves the spaghetti eater is in the third house.\n9. Eric is the person who smokes Blue Master.\n10. The person who loves eating grilled cheese is directly left of the Prince smoker.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a unique favorite drink: `tea`, `water`\n - Each person has a unique type of pet: `dog`, `cat`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. The one who only drinks water is somewhere to the left of the person who owns a dog.\n2. The person who has brown hair is somewhere to the left of Eric.\n3. The one who only drinks water is the person whose birthday is in April.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - People have unique heights: `very short`, `short`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person who is short is directly left of Eric.\n2. The person residing in a Victorian house is in the first house.\n3. The person who is short is the person with an associate's degree.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves beach vacations is Eric.\n2. The person who loves pop music is the person who loves beach vacations.\n3. The person who loves rock music is the person who loves mystery books.\n4. The cat lover is not in the second house.\n5. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. beach\n1. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n - Everyone has something unique for lunch: `pizza`, `stew`, `grilled cheese`, `spaghetti`\n - Each person has a unique level of education: `master`, `associate`, `bachelor`, `high school`\n - Each mother is accompanied by their child: `Samantha`, `Bella`, `Meredith`, `Fred`\n\n## Clues:\n1. The person's child is named Samantha is in the second house.\n2. Arnold is the person's child is named Samantha.\n3. The person who loves the spaghetti eater is directly left of the person with a master's degree.\n4. The person who loves eating grilled cheese is the person who loves classical music.\n5. The person who loves the stew is the person's child is named Bella.\n6. The person who loves pop music is Alice.\n7. The person who loves jazz music is directly left of the person's child is named Samantha.\n8. The person with a high school diploma is Arnold.\n9. The person with a bachelor's degree is Peter.\n10. The person who loves the spaghetti eater is the person with an associate's degree.\n11. The person who loves classical music is the person's child is named Fred.\n\n\nChoices:\n0. Samantha\n1. Bella\n2. Meredith\n3. Fred\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person who owns a Ford F-150 is directly left of the person who owns a Tesla Model 3.\n2. The person who owns a Ford F-150 is the person partial to Pall Mall.\n3. Arnold is the person who owns a Tesla Model 3.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Bob`, `Alice`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `huawei p50`, `oneplus 9`, `iphone 13`\n - People have unique favorite book genres: `science fiction`, `romance`, `biography`, `mystery`, `fantasy`\n\n## Clues:\n1. Peter is the person who uses a Huawei P50.\n2. The person who loves fantasy books is directly left of Alice.\n3. Bob is in the second house.\n4. There are two houses between the person who uses a OnePlus 9 and the person who loves biography books.\n5. Arnold is the person who loves romance books.\n6. The person who loves fantasy books is the person who uses a OnePlus 9.\n7. The person who uses a Samsung Galaxy S21 is not in the fifth house.\n8. The person who uses an iPhone 13 is the person who loves science fiction books.\n9. Peter is directly left of the person who uses a OnePlus 9.\n\n\nChoices:\n0. biography\n1. science fiction\n2. fantasy\n3. romance\n4. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`\n - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`, `swimming`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `cruise`, `city`\n\n## Clues:\n1. The person who loves beach vacations is the person who loves soccer.\n2. The person who likes going on cruises and Arnold are next to each other.\n3. Eric is the person who owns a Toyota Camry.\n4. The person who owns a Toyota Camry is the person who loves swimming.\n5. The person who loves beach vacations is in the fourth house.\n6. The person who loves jazz music is somewhere to the right of the person who loves rock music.\n7. The person who owns a Toyota Camry is the person who loves pop music.\n8. The person who prefers city breaks is the person who loves jazz music.\n9. The person who loves basketball is directly left of the person who owns a Tesla Model 3.\n10. The person who likes going on cruises is somewhere to the left of the person who owns a Ford F-150.\n11. The person who loves jazz music is directly left of the person who enjoys mountain retreats.\n12. Peter is somewhere to the right of the person who loves rock music.\n\n\nChoices:\n0. basketball\n1. tennis\n2. soccer\n3. swimming\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person who owns a dog is in the first house.\n2. The person whose mother's name is Janelle is the person with an aquarium of fish.\n3. There is one house between Eric and The person whose mother's name is Holly.\n4. The person who loves mystery books is in the first house.\n5. The person who loves romance books is directly left of Peter.\n\n\nChoices:\n0. Holly\n1. Janelle\n2. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. Eric is the person who loves rock music.\n2. The person living in a colonial-style house is somewhere to the right of the person residing in a Victorian house.\n3. The person living in a colonial-style house is the person who loves pop music.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`, `bmw 3 series`\n - The people are of nationalities: `brit`, `norwegian`, `german`, `swede`, `dane`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `tulips`, `roses`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves a carnations arrangement.\n2. The person who owns a Toyota Camry is Alice.\n3. The person who owns a BMW 3 Series is somewhere to the right of Arnold.\n4. Arnold is not in the third house.\n5. The Swedish person is in the first house.\n6. The German is the person who loves a bouquet of daffodils.\n7. Arnold is not in the second house.\n8. The Norwegian is the person who owns a Tesla Model 3.\n9. The Dane is somewhere to the left of the person who owns a Ford F-150.\n10. The person who owns a BMW 3 Series is somewhere to the right of the person who loves a carnations arrangement.\n11. Alice is directly left of the person who loves the rose bouquet.\n12. Peter and the person who loves the vase of tulips are next to each other.\n13. The British person is somewhere to the right of the Norwegian.\n14. The person who loves the vase of tulips is Eric.\n15. The person who owns a Ford F-150 is Eric.\n\n\nChoices:\n0. tesla model 3\n1. honda civic\n2. toyota camry\n3. bmw 3 series\n4. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique birthday month: `sept`, `april`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Holly is Eric.\n2. Arnold is the person whose birthday is in April.\n3. Eric is not in the second house.\n\n\nChoices:\n0. sept\n1. april\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n - Each person has a unique birthday month: `april`, `sept`\n - People have unique favorite book genres: `mystery`, `science fiction`\n\n## Clues:\n1. Eric is in the second house.\n2. Arnold is The person whose mother's name is Holly.\n3. The person who loves science fiction books is the person who loves a bouquet of daffodils.\n4. The person who loves science fiction books is The person whose mother's name is Aniya.\n5. The person whose birthday is in September is the person who loves science fiction books.\n\n\nChoices:\n0. science fiction\n1. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Bob`, `Peter`\n - They all have a unique favorite flower: `tulips`, `roses`, `lilies`, `daffodils`, `carnations`\n - The people keep unique animals: `dog`, `horse`, `cat`, `bird`, `fish`\n\n## Clues:\n1. Alice is in the second house.\n2. The person who loves the boquet of lilies is the bird keeper.\n3. Peter is somewhere to the right of the person who loves the vase of tulips.\n4. The fish enthusiast is the person who loves a bouquet of daffodils.\n5. The person who keeps horses is Eric.\n6. There are two houses between the dog owner and Bob.\n7. The fish enthusiast is directly left of Bob.\n8. Alice is directly left of the person who keeps horses.\n9. The person who loves a carnations arrangement is directly left of the person who loves the vase of tulips.\n10. The cat lover is not in the first house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n3. Alice\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Peter`, `Arnold`, `Alice`\n - The people keep unique animals: `horse`, `dog`, `cat`, `fish`, `bird`\n - Each person has a unique birthday month: `sept`, `april`, `jan`, `mar`, `feb`\n\n## Clues:\n1. The dog owner is in the first house.\n2. The person whose birthday is in February is Eric.\n3. The person whose birthday is in April is in the first house.\n4. Arnold is somewhere to the right of the person whose birthday is in January.\n5. The dog owner is somewhere to the left of Peter.\n6. Alice is somewhere to the left of the person whose birthday is in September.\n7. The fish enthusiast is directly left of Alice.\n8. The bird keeper is not in the fourth house.\n9. The person who keeps horses is somewhere to the right of Arnold.\n10. Peter is somewhere to the left of the person whose birthday is in February.\n11. There is one house between the person whose birthday is in April and the person whose birthday is in January.\n\n\nChoices:\n0. cat\n1. dog\n2. fish\n3. horse\n4. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Bob`, `Peter`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `dragonfruit`, `lime`, `desert`\n - People have unique favorite music genres: `hip hop`, `classical`, `rock`, `pop`, `jazz`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`, `stir fry`, `stew`\n - Each person has a unique favorite drink: `tea`, `root beer`, `milk`, `water`, `coffee`\n\n## Clues:\n1. The coffee drinker is not in the first house.\n2. The person who loves jazz music is the Desert smoothie lover.\n3. The Watermelon smoothie lover is in the fourth house.\n4. The coffee drinker is directly left of Peter.\n5. The one who only drinks water is the person who loves hip-hop music.\n6. The Dragonfruit smoothie lover is directly left of the one who only drinks water.\n7. The Desert smoothie lover is in the fifth house.\n8. The person who loves stir fry is somewhere to the right of Bob.\n9. The person who is a pizza lover is the person who likes Cherry smoothies.\n10. The person who loves classical music is the person who loves the stew.\n11. The one who only drinks water is Bob.\n12. The root beer lover is the Dragonfruit smoothie lover.\n13. There is one house between Arnold and the person who likes Cherry smoothies.\n14. The person who loves the spaghetti eater is in the fifth house.\n15. The person who likes milk is in the fifth house.\n16. The person who likes Cherry smoothies is Bob.\n17. The Dragonfruit smoothie lover is the person who loves the stew.\n18. Eric and Peter are next to each other.\n19. The person who loves rock music is not in the first house.\n\n\nChoices:\n0. classical\n1. jazz\n2. pop\n3. rock\n4. hip hop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n\n## Clues:\n1. The person who loves eating grilled cheese is directly left of the person who is a pizza lover.\n2. Arnold is not in the second house.\n3. Arnold is The person whose mother's name is Holly.\n\n\nChoices:\n0. Holly\n1. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - People have unique favorite book genres: `mystery`, `science fiction`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. Arnold is the person who loves mystery books.\n3. The person who is a pizza lover is Eric.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n - People own unique car models: `tesla model 3`, `ford f150`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n - People have unique favorite music genres: `pop`, `rock`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is not in the first house.\n2. The person's child is named Fred is in the second house.\n3. The person who loves rock music is in the second house.\n4. Arnold is the person who owns a Ford F-150.\n5. The person who loves rock music is Arnold.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Each person has a unique type of pet: `cat`, `fish`, `dog`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - The people keep unique animals: `cat`, `bird`, `horse`\n\n## Clues:\n1. The person whose mother's name is Aniya is not in the first house.\n2. The person whose mother's name is Aniya is directly left of The person whose mother's name is Holly.\n3. The person whose mother's name is Janelle is Peter.\n4. The person who loves pop music is directly left of the person who owns a dog.\n5. The person who keeps horses is in the first house.\n6. Peter and the cat lover are next to each other.\n7. Eric is the person who loves rock music.\n8. The person whose mother's name is Janelle and the person who has a cat are next to each other.\n\n\nChoices:\n0. rock\n1. classical\n2. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a unique birthday month: `april`, `feb`, `mar`, `jan`, `sept`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `dunhill`, `blends`, `blue master`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`, `root beer`\n\n## Clues:\n1. The root beer lover is Eric.\n2. The person partial to Pall Mall is in the third house.\n3. The person whose birthday is in April is Bob.\n4. The Dunhill smoker is the person whose birthday is in March.\n5. Peter is somewhere to the right of the root beer lover.\n6. There is one house between the person whose birthday is in January and Peter.\n7. The person who smokes many unique blends is the person whose birthday is in February.\n8. The person whose birthday is in February is in the second house.\n9. Arnold is directly left of Peter.\n10. The person who likes milk is not in the fifth house.\n11. The person who smokes Blue Master is the coffee drinker.\n12. There is one house between the tea drinker and the coffee drinker.\n13. Eric is in the third house.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Bob\n3. Peter\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n\n## Clues:\n1. Arnold is somewhere to the right of Eric.\n2. The person who likes milk is the person who enjoys gardening.\n3. Arnold is somewhere to the left of the person who likes milk.\n4. The tea drinker is in the first house.\n5. The photography enthusiast is Eric.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Bob`, `Arnold`\n - The people keep unique animals: `cat`, `horse`, `fish`, `dog`, `bird`\n - The mothers' names in different houses are unique: `Penny`, `Holly`, `Janelle`, `Kailyn`, `Aniya`\n\n## Clues:\n1. The person whose mother's name is Janelle and The person whose mother's name is Penny are next to each other.\n2. There are two houses between the fish enthusiast and The person whose mother's name is Kailyn.\n3. There are two houses between Peter and Bob.\n4. The bird keeper is in the second house.\n5. The person who keeps horses is directly left of the dog owner.\n6. The fish enthusiast and Peter are next to each other.\n7. The bird keeper is somewhere to the right of Alice.\n8. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Penny.\n9. The person whose mother's name is Janelle is in the second house.\n10. Arnold is directly left of the person who keeps horses.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`, `Bob`\n - Everyone has a favorite smoothie: `lime`, `cherry`, `desert`, `dragonfruit`, `watermelon`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`, `stew`, `stir fry`\n - People have unique hair colors: `gray`, `black`, `red`, `brown`, `blonde`\n\n## Clues:\n1. The person who has blonde hair is the person who loves eating grilled cheese.\n2. The Desert smoothie lover is somewhere to the left of the person who has red hair.\n3. The person who loves the spaghetti eater is the person who has red hair.\n4. Bob and the person who has blonde hair are next to each other.\n5. The person who likes Cherry smoothies is in the fourth house.\n6. Arnold is the person who has black hair.\n7. The Desert smoothie lover is in the third house.\n8. The Desert smoothie lover is the person who loves eating grilled cheese.\n9. Eric is the person who has blonde hair.\n10. The person who has gray hair is somewhere to the left of the person who has black hair.\n11. The person who has black hair is the Dragonfruit smoothie lover.\n12. Bob is the Watermelon smoothie lover.\n13. The person who loves stir fry is the person who has black hair.\n14. The person who is a pizza lover is the person who has brown hair.\n15. Peter is the person who has gray hair.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Eric\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. Eric is not in the first house.\n2. The person who loves a bouquet of daffodils is the Prince smoker.\n3. The Prince smoker is not in the second house.\n4. The person who loves basketball is in the first house.\n\n\nChoices:\n0. daffodils\n1. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person lives in a unique style of house: `colonial`, `victorian`, `ranch`\n - The people keep unique animals: `bird`, `horse`, `cat`\n - People own unique car models: `ford f150`, `toyota camry`, `tesla model 3`\n\n## Clues:\n1. The person in a ranch-style home is not in the third house.\n2. Peter is the person who keeps horses.\n3. The person who owns a Ford F-150 is the cat lover.\n4. The person in a ranch-style home is the person who owns a Toyota Camry.\n5. The person in a ranch-style home is the person who keeps horses.\n6. The person residing in a Victorian house is Arnold.\n7. The bird keeper is in the first house.\n8. Eric is not in the third house.\n\n\nChoices:\n0. tesla model 3\n1. ford f150\n2. toyota camry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `engineer`, `doctor`\n - People have unique favorite sports: `basketball`, `soccer`\n - The people are of nationalities: `brit`, `dane`\n\n## Clues:\n1. Arnold is in the second house.\n2. The person who loves basketball is the person who is a doctor.\n3. The person who is a doctor is directly left of the Dane.\n\n\nChoices:\n0. basketball\n1. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is not in the first house.\n2. The person who is a pizza lover is the person who loves a bouquet of daffodils.\n3. The person who loves a bouquet of daffodils is Eric.\n4. The person with a high school diploma is the person who loves a bouquet of daffodils.\n5. The person who loves pop music is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. grilled cheese\n1. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `dunhill`, `pall mall`, `prince`, `blue master`\n - Each person has a unique level of education: `associate`, `high school`, `master`, `bachelor`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`, `painting`\n\n## Clues:\n1. The person with a bachelor's degree is the person who enjoys gardening.\n2. Arnold is somewhere to the left of the person who loves a carnations arrangement.\n3. Eric is not in the second house.\n4. The person who loves a bouquet of daffodils is the person who paints as a hobby.\n5. The person who loves the rose bouquet is the person who smokes Blue Master.\n6. The person partial to Pall Mall is Peter.\n7. Arnold is in the third house.\n8. Peter is directly left of the person who enjoys gardening.\n9. Arnold is the person with a high school diploma.\n10. The person who smokes Blue Master is not in the second house.\n11. The Prince smoker is the photography enthusiast.\n12. The person with a master's degree is somewhere to the left of the person who smokes Blue Master.\n\n\nChoices:\n0. bachelor\n1. associate\n2. high school\n3. master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Everyone has something unique for lunch: `grilled cheese`, `stew`, `pizza`, `spaghetti`\n - People have unique hair colors: `blonde`, `black`, `red`, `brown`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`, `Kailyn`\n\n## Clues:\n1. Alice is the person whose favorite color is red.\n2. The person who has black hair is the person who loves the stew.\n3. The person who loves white is Arnold.\n4. The person whose favorite color is red and The person whose mother's name is Kailyn are next to each other.\n5. The person who loves yellow and the person who has black hair are next to each other.\n6. The person who is a pizza lover is somewhere to the left of the person whose favorite color is green.\n7. Peter is The person whose mother's name is Janelle.\n8. The person who has blonde hair is the person who loves white.\n9. The person who has red hair is Alice.\n10. The person who loves white is somewhere to the right of the person who loves eating grilled cheese.\n11. The person who loves white is not in the second house.\n12. The person whose mother's name is Kailyn is the person who is a pizza lover.\n13. The person whose mother's name is Holly is the person who has red hair.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite music genres: `classical`, `pop`, `rock`\n\n## Clues:\n1. Peter is not in the first house.\n2. Arnold is the person who loves pop music.\n3. Eric is the person who loves rock music.\n4. Eric is in the third house.\n\n\nChoices:\n0. rock\n1. pop\n2. classical\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - The people are of nationalities: `dane`, `swede`, `brit`, `norwegian`\n\n## Clues:\n1. Eric and Peter are next to each other.\n2. The Swedish person is Eric.\n3. The Swedish person is in the first house.\n4. The Dane is Peter.\n5. Arnold is the Norwegian.\n6. There are two houses between the Swedish person and Arnold.\n\n\nChoices:\n0. brit\n1. dane\n2. swede\n3. norwegian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Everyone has something unique for lunch: `stew`, `stir fry`, `spaghetti`, `grilled cheese`, `pizza`\n - Everyone has a favorite smoothie: `watermelon`, `lime`, `desert`, `dragonfruit`, `cherry`\n - People have unique favorite book genres: `fantasy`, `biography`, `mystery`, `science fiction`, `romance`\n - Each person has a unique hobby: `photography`, `knitting`, `cooking`, `gardening`, `painting`\n\n## Clues:\n1. The person who loves stir fry is the Desert smoothie lover.\n2. The person who loves the spaghetti eater is the person who enjoys gardening.\n3. Bob is somewhere to the left of the person who loves mystery books.\n4. The person who paints as a hobby is directly left of Alice.\n5. The Desert smoothie lover is the person who loves romance books.\n6. The photography enthusiast and the person who loves eating grilled cheese are next to each other.\n7. The person who loves cooking is somewhere to the left of the Desert smoothie lover.\n8. The person who likes Cherry smoothies is Alice.\n9. There is one house between the person who drinks Lime smoothies and the person who enjoys gardening.\n10. The Watermelon smoothie lover is Eric.\n11. The person who loves eating grilled cheese is directly left of the Dragonfruit smoothie lover.\n12. The person who is a pizza lover is Alice.\n13. The person who loves romance books is Peter.\n14. The person who loves fantasy books is the Watermelon smoothie lover.\n15. Alice is the person who loves biography books.\n16. Eric is not in the third house.\n\n\nChoices:\n0. fantasy\n1. biography\n2. romance\n3. science fiction\n4. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - Each person has a unique type of pet: `fish`, `cat`, `dog`, `bird`\n\n## Clues:\n1. The person who has a cat is somewhere to the left of Alice.\n2. The person who owns a dog is Alice.\n3. The person who keeps a pet bird is in the fourth house.\n4. The person who has a cat is directly left of Peter.\n5. Arnold is in the fourth house.\n\n\nChoices:\n0. cat\n1. bird\n2. dog\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person whose birthday is in April is not in the third house.\n2. There is one house between the person who enjoys mountain retreats and the person who loves beach vacations.\n3. The person who loves soccer is Peter.\n4. The person who loves tennis is the person who prefers city breaks.\n5. Eric is directly left of the person who loves tennis.\n6. The person who loves beach vacations is the person who loves soccer.\n7. The person who prefers city breaks is the person whose birthday is in January.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Bob`, `Peter`\n - Each person has an occupation: `lawyer`, `doctor`, `artist`, `engineer`, `teacher`\n\n## Clues:\n1. Bob is the person who is an engineer.\n2. The person who is a doctor and the person who is an artist are next to each other.\n3. There are two houses between Arnold and the person who is a lawyer.\n4. Peter is the person who is an artist.\n5. The person who is a lawyer is directly left of Eric.\n6. Alice is somewhere to the right of the person who is an artist.\n\n\nChoices:\n0. engineer\n1. doctor\n2. lawyer\n3. teacher\n4. artist\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - The people keep unique animals: `bird`, `horse`, `fish`, `cat`\n\n## Clues:\n1. Eric is in the fourth house.\n2. There is one house between Arnold and the bird keeper.\n3. The fish enthusiast is in the fourth house.\n4. There is one house between the cat lover and Peter.\n5. Peter is in the third house.\n\n\nChoices:\n0. bird\n1. horse\n2. cat\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`\n\n## Clues:\n1. The person who loves classical music is somewhere to the right of the person who loves rock music.\n2. The person who loves pop music is the person who loves the spaghetti eater.\n3. Arnold is not in the third house.\n4. Arnold is the person who loves eating grilled cheese.\n5. Peter and the person who loves pop music are next to each other.\n6. Peter is not in the third house.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`\n\n## Clues:\n1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is not in the first house.\n3. The person with a master's degree is Alice.\n4. The person with a master's degree is directly left of the person who loves classical music.\n5. Eric is not in the second house.\n6. Arnold is not in the third house.\n7. The person who loves yellow is directly left of the person who loves the rose bouquet.\n8. The person who loves pop music is in the second house.\n9. The person with an associate's degree is not in the fourth house.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. The person whose favorite color is red is directly left of the person who loves white.\n12. The person whose favorite color is red is the person who loves rock music.\n13. Arnold is the person who loves yellow.\n14. The person who loves a bouquet of daffodils is the person who loves yellow.\n\n\nChoices:\n0. daffodils\n1. roses\n2. carnations\n3. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `toyota camry`, `tesla model 3`\n\n## Clues:\n1. Arnold is the person who owns a Tesla Model 3.\n2. Arnold and Peter are next to each other.\n3. Arnold is in the first house.\n4. The person who owns a Toyota Camry is somewhere to the right of the person who owns a Ford F-150.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has an occupation: `teacher`, `engineer`, `doctor`, `artist`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `stew`, `pizza`\n\n## Clues:\n1. The person who loves eating grilled cheese is Arnold.\n2. Eric is not in the second house.\n3. The person who is an artist is the person who loves the spaghetti eater.\n4. The person who is a pizza lover is in the second house.\n5. The person who is an engineer is in the second house.\n6. The person who is an artist is somewhere to the left of Alice.\n7. Peter is somewhere to the left of the person who is a doctor.\n8. The person who loves eating grilled cheese is directly left of the person who is a pizza lover.\n\n\nChoices:\n0. teacher\n1. engineer\n2. doctor\n3. artist\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique heights: `short`, `very short`, `average`, `tall`\n - Each person has a favorite color: `yellow`, `white`, `red`, `green`\n - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`\n - The people keep unique animals: `bird`, `fish`, `horse`, `cat`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the bird keeper.\n2. Peter is not in the first house.\n3. The person who loves the rose bouquet is directly left of Eric.\n4. The person who loves a carnations arrangement and the person who loves the rose bouquet are next to each other.\n5. Alice is directly left of the bird keeper.\n6. The person who keeps horses is Peter.\n7. The fish enthusiast is the person who loves a bouquet of daffodils.\n8. The person whose favorite color is red is the person who loves a bouquet of daffodils.\n9. The person who is tall is in the third house.\n10. The person who has an average height is somewhere to the left of the person who loves white.\n11. The person whose favorite color is green is not in the second house.\n12. The person who is short is somewhere to the left of the person who is tall.\n13. The person who is short is the person whose favorite color is green.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - Each person has a unique level of education: `master`, `bachelor`, `high school`, `associate`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`\n\n## Clues:\n1. The person who likes milk is somewhere to the left of the person with a bachelor's degree.\n2. The person who likes milk and the person with a bachelor's degree are next to each other.\n3. Alice is the person who is tall.\n4. Peter is not in the second house.\n5. Arnold is in the first house.\n6. The person who has an average height is not in the second house.\n7. Arnold is directly left of the person with a master's degree.\n8. The coffee drinker is the person who is short.\n9. There is one house between the person with a master's degree and the person with a high school diploma.\n10. The one who only drinks water is directly left of Alice.\n11. The person who is short is somewhere to the left of the person who is tall.\n\n\nChoices:\n0. milk\n1. coffee\n2. water\n3. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people keep unique animals: `horse`, `cat`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - Each person has a unique level of education: `high school`, `associate`\n\n## Clues:\n1. The cat lover is somewhere to the right of the person with an associate's degree.\n2. The Prince smoker is the person who loves basketball.\n3. The person who keeps horses is somewhere to the left of the person who loves soccer.\n4. The person who loves basketball is Eric.\n\n\nChoices:\n0. pall mall\n1. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Eric`\n - The people keep unique animals: `cat`, `fish`, `bird`, `horse`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `basketball`\n - People have unique hair colors: `blonde`, `brown`, `black`, `red`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n\n## Clues:\n1. The person who loves tennis is in the second house.\n2. The person who has brown hair and the person who loves basketball are next to each other.\n3. Alice is the person who keeps a pet bird.\n4. Arnold is the person who loves soccer.\n5. The person who has blonde hair is the person with an aquarium of fish.\n6. The person who keeps a pet bird is in the second house.\n7. Arnold is in the third house.\n8. The person who loves swimming is in the first house.\n9. The person who has red hair is not in the first house.\n10. The person who keeps horses is in the fourth house.\n11. Eric is somewhere to the left of the fish enthusiast.\n12. The person who has a cat is directly left of the bird keeper.\n\n\nChoices:\n0. brown\n1. red\n2. blonde\n3. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`\n\n## Clues:\n1. The person with a high school diploma is the person who loves cooking.\n2. Eric is in the second house.\n3. The person who uses a Google Pixel 6 is the photography enthusiast.\n4. The person who uses an iPhone 13 is directly left of the person with a bachelor's degree.\n5. The person with an associate's degree is not in the first house.\n6. The person who smokes Blue Master is directly left of the person who uses an iPhone 13.\n7. The Prince smoker is not in the second house.\n8. Peter is not in the third house.\n\n\nChoices:\n0. google pixel 6\n1. samsung galaxy s21\n2. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - Each person has a unique birthday month: `april`, `sept`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves pop music is directly left of Eric.\n2. Eric is the person whose birthday is in September.\n3. The person whose birthday is in April is the person living in a colonial-style house.\n\n\nChoices:\n0. pop\n1. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Penny`, `Kailyn`, `Aniya`, `Janelle`, `Holly`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`, `dunhill`, `blends`\n - The people keep unique animals: `bird`, `cat`, `horse`, `fish`, `dog`\n - Everyone has something unique for lunch: `grilled cheese`, `stir fry`, `pizza`, `spaghetti`, `stew`\n\n## Clues:\n1. The person who loves the stew is somewhere to the left of the fish enthusiast.\n2. The person who is a pizza lover is somewhere to the right of the Dunhill smoker.\n3. Peter is the cat lover.\n4. The dog owner is directly left of the person who loves the spaghetti eater.\n5. The person who loves stir fry is The person whose mother's name is Aniya.\n6. There are two houses between the fish enthusiast and Eric.\n7. The person who smokes many unique blends is The person whose mother's name is Kailyn.\n8. The fish enthusiast is the person who loves the spaghetti eater.\n9. The fish enthusiast is in the second house.\n10. The person whose mother's name is Kailyn is the person who loves the stew.\n11. The person whose mother's name is Janelle is not in the fifth house.\n12. The person whose mother's name is Holly is the person who smokes Blue Master.\n13. Arnold is The person whose mother's name is Aniya.\n14. The person who loves the spaghetti eater and the person partial to Pall Mall are next to each other.\n15. Peter is not in the third house.\n16. Arnold is the person who keeps horses.\n17. The person whose mother's name is Holly is Bob.\n\n\nChoices:\n0. spaghetti\n1. stir fry\n2. grilled cheese\n3. pizza\n4. stew\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`\n\n## Clues:\n1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is not in the first house.\n3. The person with a master's degree is Alice.\n4. The person with a master's degree is directly left of the person who loves classical music.\n5. Eric is not in the second house.\n6. Arnold is not in the third house.\n7. The person who loves yellow is directly left of the person who loves the rose bouquet.\n8. The person who loves pop music is in the second house.\n9. The person with an associate's degree is not in the fourth house.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. The person whose favorite color is red is directly left of the person who loves white.\n12. The person whose favorite color is red is the person who loves rock music.\n13. Arnold is the person who loves yellow.\n14. The person who loves a bouquet of daffodils is the person who loves yellow.\n\n\nChoices:\n0. pop\n1. jazz\n2. classical\n3. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - The people keep unique animals: `bird`, `horse`, `cat`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is directly left of the person who is a teacher.\n2. The person who uses a Samsung Galaxy S21 and Arnold are next to each other.\n3. The person who is an engineer is the person who keeps horses.\n4. The person who uses an iPhone 13 is the cat lover.\n5. The bird keeper is the person who uses a Samsung Galaxy S21.\n6. The person who loves cooking is not in the third house.\n7. The person who enjoys gardening is directly left of the person who is a teacher.\n8. There is one house between Eric and the person who uses an iPhone 13.\n\n\nChoices:\n0. engineer\n1. doctor\n2. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique favorite drink: `tea`, `milk`, `water`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`\n - Each person has an occupation: `engineer`, `doctor`, `teacher`\n - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`\n\n## Clues:\n1. The person who prefers city breaks is the person who loves a carnations arrangement.\n2. The person who loves a bouquet of daffodils is in the first house.\n3. The person who loves beach vacations is the person who loves a bouquet of daffodils.\n4. The tea drinker is the person who is an engineer.\n5. The person who is a teacher is somewhere to the left of Eric.\n6. The person who likes milk is in the second house.\n7. The person who is a teacher is directly left of Peter.\n8. The person who loves the boquet of lilies is not in the third house.\n\n\nChoices:\n0. mountain\n1. city\n2. beach\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Arnold`, `Alice`, `Eric`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `beach`, `mountain`, `camping`\n\n## Clues:\n1. There is one house between the person who enjoys mountain retreats and Arnold.\n2. Peter is the person who enjoys camping trips.\n3. Bob is directly left of the person who loves beach vacations.\n4. The person who prefers city breaks is Arnold.\n5. The person who enjoys camping trips is in the fifth house.\n6. The person who loves beach vacations is in the third house.\n7. Alice is not in the first house.\n\n\nChoices:\n0. beach\n1. city\n2. cruise\n3. mountain\n4. camping\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Peter`, `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `doctorate`, `bachelor`, `master`, `high school`\n\n## Clues:\n1. The person with a master's degree is Alice.\n2. There are two houses between Eric and the person with a doctorate.\n3. Peter is the person with an associate's degree.\n4. The person with a doctorate is not in the first house.\n5. The person with an associate's degree is not in the fourth house.\n6. The person with a master's degree is in the third house.\n7. The person with a bachelor's degree is Arnold.\n8. There is one house between the person with a master's degree and Arnold.\n\n\nChoices:\n0. high school\n1. doctorate\n2. bachelor\n3. master\n4. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n - Each person lives in a unique style of house: `craftsman`, `modern`, `colonial`, `victorian`, `ranch`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `biography`, `romance`, `mystery`\n\n## Clues:\n1. Alice is not in the fourth house.\n2. Arnold is not in the fourth house.\n3. The person who loves blue is Bob.\n4. The person who loves white is in the fifth house.\n5. The person who loves romance books is not in the fifth house.\n6. The person who loves science fiction books is not in the fifth house.\n7. The person whose favorite color is green is not in the fourth house.\n8. The person who loves romance books is somewhere to the right of the person in a ranch-style home.\n9. The person residing in a Victorian house is in the first house.\n10. The person whose favorite color is red is in the second house.\n11. The person in a modern-style house is somewhere to the right of Arnold.\n12. Eric is the person living in a colonial-style house.\n13. The person who loves science fiction books is somewhere to the right of Bob.\n14. The person who loves fantasy books is the person residing in a Victorian house.\n15. The person in a Craftsman-style house is not in the fifth house.\n16. The person who loves biography books is the person whose favorite color is red.\n17. Eric is in the third house.\n18. The person who loves romance books is somewhere to the right of Eric.\n\n\nChoices:\n0. mystery\n1. biography\n2. science fiction\n3. romance\n4. fantasy\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `teacher`\n\n## Clues:\n1. There are two houses between Eric and Peter.\n2. The person who is a teacher is Peter.\n3. Peter is not in the first house.\n4. There is one house between the person who is a doctor and Alice.\n5. The person who is an artist is Alice.\n\n\nChoices:\n0. teacher\n1. doctor\n2. artist\n3. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has an occupation: `teacher`, `doctor`, `engineer`\n - People have unique favorite music genres: `classical`, `pop`, `rock`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`\n\n## Clues:\n1. The person who loves rock music is in the third house.\n2. The person who is a doctor is not in the third house.\n3. The person's child is named Bella is somewhere to the right of the person's child is named Meredith.\n4. Arnold is directly left of the person who loves rock music.\n5. The person who is a teacher is directly left of the person's child is named Fred.\n6. Eric is somewhere to the right of the person who is a teacher.\n7. The person who loves pop music is somewhere to the left of the person's child is named Fred.\n8. The person who is a teacher is in the first house.\n\n\nChoices:\n0. engineer\n1. doctor\n2. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - People have unique heights: `average`, `tall`, `very short`, `short`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `dragonfruit`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`\n\n## Clues:\n1. Eric is the person who loves the rose bouquet.\n2. The Dragonfruit smoothie lover is somewhere to the left of the person who loves the rose bouquet.\n3. Arnold is the person who loves a carnations arrangement.\n4. The Desert smoothie lover is in the third house.\n5. The person who is very short is the Dragonfruit smoothie lover.\n6. Alice is the person who likes Cherry smoothies.\n7. The person who loves a bouquet of daffodils is the person who likes Cherry smoothies.\n8. The person who loves a carnations arrangement is in the fourth house.\n9. The person who is very short is directly left of the person who is tall.\n10. The person who is short is the Desert smoothie lover.\n\n\nChoices:\n0. desert\n1. watermelon\n2. cherry\n3. dragonfruit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - People have unique favorite music genres: `rock`, `pop`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. The person who loves mystery books is the person who loves rock music.\n2. Arnold is not in the first house.\n3. The person who loves mystery books is the person who enjoys gardening.\n4. The person whose birthday is in April is Arnold.\n5. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. gardening\n1. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The people are of nationalities: `swede`, `dane`, `brit`\n - People have unique hair colors: `blonde`, `brown`, `black`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`\n\n## Clues:\n1. The Dane is the person who enjoys gardening.\n2. The person who has blonde hair and the British person are next to each other.\n3. Arnold is somewhere to the left of the person who has black hair.\n4. The Swedish person is Arnold.\n5. The photography enthusiast is not in the third house.\n6. The person who has brown hair is not in the third house.\n7. The person who has blonde hair is not in the third house.\n8. The photography enthusiast is Eric.\n9. The Swedish person is not in the second house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Alice`, `Arnold`\n - Each mother is accompanied by their child: `Timothy`, `Meredith`, `Fred`, `Bella`, `Samantha`\n\n## Clues:\n1. The person who is the mother of Timothy is directly left of the person's child is named Meredith.\n2. Eric is the person who is the mother of Timothy.\n3. The person's child is named Samantha is somewhere to the right of the person's child is named Meredith.\n4. Bob is directly left of Arnold.\n5. The person's child is named Meredith is somewhere to the right of the person's child is named Fred.\n6. Bob is the person's child is named Fred.\n7. Peter is the person's child is named Meredith.\n\n\nChoices:\n0. Samantha\n1. Fred\n2. Timothy\n3. Bella\n4. Meredith\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Bob`, `Peter`, `Arnold`\n - People have unique favorite book genres: `fantasy`, `romance`, `mystery`, `science fiction`, `biography`\n - Each person has a unique level of education: `bachelor`, `master`, `high school`, `doctorate`, `associate`\n\n## Clues:\n1. The person who loves fantasy books is Alice.\n2. Bob is directly left of the person with a bachelor's degree.\n3. The person with a high school diploma is the person who loves science fiction books.\n4. The person with an associate's degree is Bob.\n5. The person who loves fantasy books is somewhere to the right of the person with a master's degree.\n6. Arnold is the person with a high school diploma.\n7. Eric is not in the second house.\n8. The person who loves biography books is the person with a doctorate.\n9. The person who loves science fiction books is in the third house.\n10. The person who loves mystery books is not in the first house.\n11. The person with a master's degree is somewhere to the left of the person with a doctorate.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Arnold\n3. Bob\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people are of nationalities: `dane`, `brit`\n\n## Clues:\n1. The British person is not in the first house.\n2. Arnold is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n\n## Clues:\n1. Eric is the person's child is named Bella.\n2. The person who loves tennis is somewhere to the left of the person who loves soccer.\n3. The person who loves tennis is the person's child is named Meredith.\n4. The person's child is named Meredith is Arnold.\n5. The person's child is named Fred is in the first house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Alice`, `Arnold`\n - People have unique favorite book genres: `mystery`, `fantasy`, `science fiction`, `romance`, `biography`\n - Everyone has a favorite smoothie: `lime`, `watermelon`, `dragonfruit`, `cherry`, `desert`\n\n## Clues:\n1. There is one house between Eric and the person who loves science fiction books.\n2. The person who loves fantasy books is directly left of Alice.\n3. The person who loves fantasy books is the Watermelon smoothie lover.\n4. Arnold and the Dragonfruit smoothie lover are next to each other.\n5. The person who loves biography books is the person who likes Cherry smoothies.\n6. The person who loves biography books is in the second house.\n7. Eric is in the third house.\n8. The Desert smoothie lover is in the third house.\n9. The person who loves mystery books is not in the third house.\n10. Arnold is directly left of Bob.\n\n\nChoices:\n0. Alice\n1. Bob\n2. Arnold\n3. Peter\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - Each person has a favorite color: `yellow`, `green`, `red`, `white`\n\n## Clues:\n1. The person whose favorite color is green is in the third house.\n2. Peter is in the first house.\n3. There is one house between the person whose favorite color is red and the person who loves yellow.\n4. Arnold is directly left of Eric.\n5. Eric is the person who loves yellow.\n\n\nChoices:\n0. red\n1. green\n2. yellow\n3. white\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `science fiction`, `mystery`\n\n## Clues:\n1. Eric is directly left of the person who loves mystery books.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `oneplus 9`, `google pixel 6`\n - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `daffodils`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the person who uses a Samsung Galaxy S21.\n2. The person who loves the boquet of lilies is the person who uses an iPhone 13.\n3. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves the rose bouquet.\n4. The person who uses a Samsung Galaxy S21 is Eric.\n5. The person who uses a Samsung Galaxy S21 is somewhere to the left of the person who uses an iPhone 13.\n6. Alice is in the first house.\n7. Peter is the person who loves a carnations arrangement.\n\n\nChoices:\n0. samsung galaxy s21\n1. google pixel 6\n2. iphone 13\n3. oneplus 9\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `victorian`, `colonial`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is the person in a ranch-style home.\n2. Arnold is in the first house.\n3. The Prince smoker is the person living in a colonial-style house.\n4. Peter is the person residing in a Victorian house.\n5. The person who owns a dog is directly left of the person who has a cat.\n6. The person with an aquarium of fish is the person partial to Pall Mall.\n\n\nChoices:\n0. blue master\n1. pall mall\n2. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n\n## Clues:\n1. The one who only drinks water is in the first house.\n2. The person who loves tennis is Peter.\n3. The person who loves a bouquet of daffodils is The person whose mother's name is Aniya.\n4. The person who loves soccer is Arnold.\n5. Arnold is directly left of The person whose mother's name is Janelle.\n6. The person who loves basketball is not in the third house.\n7. The person whose mother's name is Janelle is the person who likes milk.\n8. The person whose mother's name is Aniya is in the second house.\n9. There is one house between the person who loves a carnations arrangement and the person who loves tennis.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n\n## Clues:\n1. Eric is somewhere to the left of Arnold.\n2. Eric is the person residing in a Victorian house.\n\n\nChoices:\n0. colonial\n1. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `engineer`, `doctor`\n - People have unique favorite sports: `basketball`, `soccer`\n - The people are of nationalities: `brit`, `dane`\n\n## Clues:\n1. Arnold is in the second house.\n2. The person who loves basketball is the person who is a doctor.\n3. The person who is a doctor is directly left of the Dane.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique favorite sports: `basketball`, `soccer`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. The person whose favorite color is red is not in the second house.\n2. The person who loves soccer is Eric.\n3. The person who loves beach vacations is not in the first house.\n4. The person who loves mystery books is not in the first house.\n5. The person whose favorite color is red is the person who loves basketball.\n\n\nChoices:\n0. red\n1. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people are of nationalities: `dane`, `brit`\n\n## Clues:\n1. The British person is not in the first house.\n2. Arnold is not in the second house.\n\n\nChoices:\n0. dane\n1. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Bob`, `Arnold`\n - The people are of nationalities: `norwegian`, `brit`, `swede`, `dane`, `german`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `camping`, `beach`, `city`\n - Each person has a unique level of education: `bachelor`, `master`, `associate`, `doctorate`, `high school`\n - Each person has an occupation: `artist`, `doctor`, `engineer`, `teacher`, `lawyer`\n\n## Clues:\n1. The person who likes going on cruises is the person who is a lawyer.\n2. The person who loves beach vacations is directly left of Arnold.\n3. The person with a doctorate is somewhere to the left of Bob.\n4. The person with an associate's degree is the person who likes going on cruises.\n5. Peter is not in the first house.\n6. The person who is an artist is Peter.\n7. The person who enjoys camping trips is the person with a master's degree.\n8. The Dane is somewhere to the right of the person who is a doctor.\n9. The person with an associate's degree is directly left of the person who is an engineer.\n10. The person who enjoys camping trips is the British person.\n11. The Norwegian and the person with a bachelor's degree are next to each other.\n12. The person who is an artist is the Swedish person.\n13. Bob is not in the fourth house.\n14. The person who enjoys camping trips is Eric.\n15. Alice is the German.\n16. The person who loves beach vacations is somewhere to the left of the person who prefers city breaks.\n17. The person who enjoys mountain retreats is in the fifth house.\n18. The person who likes going on cruises is somewhere to the right of the person who loves beach vacations.\n19. The person with a bachelor's degree is in the third house.\n\n\nChoices:\n0. german\n1. brit\n2. swede\n3. norwegian\n4. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n - The people keep unique animals: `cat`, `bird`, `horse`\n\n## Clues:\n1. The person with an associate's degree is Eric.\n2. The person who enjoys mountain retreats is in the second house.\n3. Arnold is somewhere to the right of the cat lover.\n4. The bird keeper is the person who enjoys mountain retreats.\n5. The person with a high school diploma is somewhere to the right of the person who loves beach vacations.\n6. The person with a high school diploma is in the third house.\n7. The person with an associate's degree is not in the first house.\n\n\nChoices:\n0. cat\n1. bird\n2. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n\n## Clues:\n1. The person's child is named Fred is in the second house.\n2. The person who likes Cherry smoothies is somewhere to the right of The person whose mother's name is Holly.\n3. Eric is The person whose mother's name is Aniya.\n\n\nChoices:\n0. cherry\n1. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - Each person has a unique hobby: `photography`, `painting`, `gardening`, `cooking`\n - Each person prefers a unique type of vacation: `cruise`, `beach`, `mountain`, `city`\n - People own unique car models: `tesla model 3`, `honda civic`, `ford f150`, `toyota camry`\n\n## Clues:\n1. The person who loves cooking is the person who owns a Ford F-150.\n2. The person who enjoys mountain retreats is the person who owns a Ford F-150.\n3. Arnold is the person who prefers city breaks.\n4. The person who enjoys mountain retreats is in the first house.\n5. The photography enthusiast is the person who loves beach vacations.\n6. The person who owns a Toyota Camry is Peter.\n7. The person who enjoys gardening is somewhere to the right of the person who owns a Honda Civic.\n8. Peter is the person who loves beach vacations.\n9. Alice is in the first house.\n10. There is one house between the person who owns a Honda Civic and Eric.\n\n\nChoices:\n0. city\n1. mountain\n2. beach\n3. cruise\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique type of pet: `bird`, `dog`, `hamster`, `fish`, `cat`\n - People have unique favorite book genres: `fantasy`, `romance`, `science fiction`, `biography`, `mystery`\n - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `baseball`, `swimming`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`, `blends`, `dunhill`\n\n## Clues:\n1. The Dunhill smoker is in the fifth house.\n2. The person with an aquarium of fish is directly left of the person who loves biography books.\n3. The person who loves mystery books is somewhere to the left of Arnold.\n4. The person who smokes many unique blends is the person who loves soccer.\n5. The person who loves romance books is directly left of the person who smokes Blue Master.\n6. Arnold is somewhere to the right of the person who loves fantasy books.\n7. Alice is not in the third house.\n8. The person who loves fantasy books is Peter.\n9. The person partial to Pall Mall is somewhere to the left of Eric.\n10. The person who keeps a pet bird is in the second house.\n11. The person who smokes many unique blends is the person with a pet hamster.\n12. Eric is directly left of the person who loves tennis.\n13. The person who loves tennis is in the fifth house.\n14. The person who loves swimming is directly left of the person who keeps a pet bird.\n15. The person partial to Pall Mall is the person who loves baseball.\n16. The person who has a cat and Arnold are next to each other.\n\n\nChoices:\n0. hamster\n1. fish\n2. bird\n3. cat\n4. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n\n## Clues:\n1. The one who only drinks water is in the first house.\n2. The person who loves tennis is Peter.\n3. The person who loves a bouquet of daffodils is The person whose mother's name is Aniya.\n4. The person who loves soccer is Arnold.\n5. Arnold is directly left of The person whose mother's name is Janelle.\n6. The person who loves basketball is not in the third house.\n7. The person whose mother's name is Janelle is the person who likes milk.\n8. The person whose mother's name is Aniya is in the second house.\n9. There is one house between the person who loves a carnations arrangement and the person who loves tennis.\n\n\nChoices:\n0. daffodils\n1. lilies\n2. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n\n## Clues:\n1. Arnold is the person who enjoys mountain retreats.\n2. The person living in a colonial-style house is the person who enjoys mountain retreats.\n3. The person who enjoys mountain retreats is not in the second house.\n\n\nChoices:\n0. beach\n1. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique birthday month: `jan`, `sept`, `april`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a favorite color: `yellow`, `white`, `red`\n\n## Clues:\n1. The Dane is the person whose favorite color is red.\n2. The person who loves yellow is the person whose birthday is in September.\n3. The person whose birthday is in September is directly left of the person whose birthday is in April.\n4. The person whose birthday is in September is somewhere to the left of Arnold.\n5. The Dane is in the second house.\n6. The person whose birthday is in January is Peter.\n7. The British person is the person who loves white.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - People have unique favorite music genres: `pop`, `classical`, `rock`, `jazz`\n - Each person has a unique type of pet: `fish`, `dog`, `bird`, `cat`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`, `coffee`\n\n## Clues:\n1. The one who only drinks water is the person who owns a dog.\n2. The one who only drinks water is Eric.\n3. The tea drinker is somewhere to the right of the person who loves rock music.\n4. The person who likes milk is the person who owns a Tesla Model 3.\n5. The person who loves rock music and the person who loves classical music are next to each other.\n6. There is one house between the person who likes milk and the person who loves classical music.\n7. The person who owns a Honda Civic is Arnold.\n8. The person who has a cat and the coffee drinker are next to each other.\n9. Alice is not in the second house.\n10. The person who loves classical music is not in the second house.\n11. The person with an aquarium of fish is the tea drinker.\n12. The person who owns a Ford F-150 is somewhere to the right of the person with an aquarium of fish.\n13. The person who owns a Toyota Camry is not in the third house.\n14. The tea drinker and the person who loves jazz music are next to each other.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - Each person has a unique type of pet: `fish`, `cat`, `dog`, `bird`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n\n## Clues:\n1. The person who likes going on cruises is the person who owns a dog.\n2. The person who keeps a pet bird is the person who prefers city breaks.\n3. The person who enjoys mountain retreats is directly left of the person who has a cat.\n4. There are two houses between the person with an aquarium of fish and the person who prefers city breaks.\n5. Peter is somewhere to the right of the person who loves beach vacations.\n6. The person with an aquarium of fish is Arnold.\n7. Alice is in the third house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has an occupation: `doctor`, `engineer`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - The people keep unique animals: `cat`, `horse`\n\n## Clues:\n1. Arnold is the person who is an engineer.\n2. The person who is an engineer is the person who keeps horses.\n3. The person residing in a Victorian house is the cat lover.\n4. The person residing in a Victorian house is in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n\n## Clues:\n1. Eric is in the second house.\n2. Eric is directly left of Peter.\n3. The person who is an engineer is not in the second house.\n4. The person who is a doctor is the person who loves cooking.\n5. The photography enthusiast is directly left of the person who is a teacher.\n\n\nChoices:\n0. photography\n1. cooking\n2. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`\n - People have unique favorite book genres: `science fiction`, `mystery`, `fantasy`, `romance`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n\n## Clues:\n1. The person who loves romance books and the person who likes going on cruises are next to each other.\n2. Arnold is The person whose mother's name is Janelle.\n3. The person who prefers city breaks is the person who loves yellow.\n4. The person who loves science fiction books is directly left of Peter.\n5. The person who loves science fiction books is somewhere to the left of The person whose mother's name is Kailyn.\n6. The person who loves beach vacations is not in the first house.\n7. There is one house between Alice and the person who likes going on cruises.\n8. The person who loves mystery books is the person who loves white.\n9. Peter is the person who prefers city breaks.\n10. The person whose favorite color is green is in the third house.\n11. The person whose mother's name is Aniya is Peter.\n12. The person whose favorite color is green is The person whose mother's name is Janelle.\n\n\nChoices:\n0. yellow\n1. green\n2. red\n3. white\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite music genres: `pop`, `rock`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique favorite sports: `soccer`, `basketball`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. Eric is the person who loves rock music.\n2. Arnold is in the first house.\n3. The person who loves pop music is the person who has black hair.\n4. The person whose favorite color is red is not in the first house.\n5. The person whose favorite color is red is the person who loves basketball.\n\n\nChoices:\n0. soccer\n1. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n\n## Clues:\n1. The person who loves rock music is in the third house.\n2. Peter is not in the second house.\n3. The person who is a pizza lover is not in the first house.\n4. The person who loves the spaghetti eater is in the fourth house.\n5. Arnold is in the third house.\n6. Eric is in the fourth house.\n7. Peter is the person who loves pop music.\n8. The person who loves classical music is the person who loves the stew.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Arnold`, `Alice`, `Eric`\n - Each person has an occupation: `lawyer`, `teacher`, `artist`, `engineer`, `doctor`\n - Each person lives in a unique style of house: `victorian`, `craftsman`, `modern`, `ranch`, `colonial`\n - People have unique hair colors: `blonde`, `gray`, `red`, `brown`, `black`\n - People have unique favorite book genres: `romance`, `biography`, `science fiction`, `mystery`, `fantasy`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Peter is not in the second house.\n3. Peter is directly left of Eric.\n4. The person living in a colonial-style house is somewhere to the left of the person who loves fantasy books.\n5. Arnold is the person who is a doctor.\n6. The person who has gray hair is the person who loves fantasy books.\n7. The person who loves science fiction books is not in the fifth house.\n8. Peter is the person who has red hair.\n9. The person who loves romance books is the person who has black hair.\n10. Eric is the person who has black hair.\n11. The person who is a doctor is somewhere to the right of Peter.\n12. The person who has blonde hair is the person who is a teacher.\n13. Peter is the person who loves mystery books.\n14. The person who is a lawyer is Eric.\n15. The person living in a colonial-style house is the person who is an engineer.\n16. The person residing in a Victorian house is the person who loves mystery books.\n17. The person who is a teacher is not in the fourth house.\n18. The person who is an artist is somewhere to the left of the person in a modern-style house.\n19. The person who is a teacher is not in the third house.\n20. The person in a ranch-style home is directly left of the person in a Craftsman-style house.\n\n\nChoices:\n0. brown\n1. red\n2. blonde\n3. gray\n4. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n - People own unique car models: `tesla model 3`, `ford f150`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n - People have unique favorite music genres: `pop`, `rock`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is not in the first house.\n2. The person's child is named Fred is in the second house.\n3. The person who loves rock music is in the second house.\n4. Arnold is the person who owns a Ford F-150.\n5. The person who loves rock music is Arnold.\n\n\nChoices:\n0. pop\n1. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has an occupation: `teacher`, `doctor`, `engineer`\n\n## Clues:\n1. The person who is an engineer and the person who is a doctor are next to each other.\n2. Arnold is not in the first house.\n3. Peter is not in the first house.\n4. Peter is directly left of the person who is a doctor.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. Arnold is the person who enjoys mountain retreats.\n2. Arnold is in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Bob`, `Alice`\n - They all have a unique favorite flower: `tulips`, `lilies`, `carnations`, `roses`, `daffodils`\n - Each person has a favorite color: `yellow`, `green`, `blue`, `white`, `red`\n\n## Clues:\n1. Alice is in the fifth house.\n2. Arnold is the person who loves white.\n3. Bob is not in the fourth house.\n4. The person who loves blue is Bob.\n5. The person whose favorite color is red is not in the third house.\n6. The person who loves a bouquet of daffodils and Eric are next to each other.\n7. The person whose favorite color is green is Alice.\n8. Peter is directly left of the person who loves a carnations arrangement.\n9. The person who loves white is the person who loves the vase of tulips.\n10. The person who loves the rose bouquet is Alice.\n11. The person who loves the vase of tulips and Peter are next to each other.\n\n\nChoices:\n0. daffodils\n1. roses\n2. carnations\n3. lilies\n4. tulips\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`, `Samantha`\n - People have unique hair colors: `red`, `brown`, `black`, `blonde`\n - They all have a unique favorite flower: `carnations`, `roses`, `daffodils`, `lilies`\n - The people keep unique animals: `cat`, `bird`, `fish`, `horse`\n\n## Clues:\n1. Alice is somewhere to the right of the person who has red hair.\n2. The person who loves a bouquet of daffodils is directly left of Arnold.\n3. The fish enthusiast is the person's child is named Samantha.\n4. Alice is directly left of the bird keeper.\n5. The cat lover is the person who loves the rose bouquet.\n6. The person who loves a carnations arrangement is somewhere to the right of the person who has brown hair.\n7. The person who loves a bouquet of daffodils is directly left of the bird keeper.\n8. Eric is the person's child is named Meredith.\n9. There are two houses between the person who has red hair and the person who has black hair.\n10. Eric is in the fourth house.\n11. The person's child is named Bella is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. carnations\n1. roses\n2. lilies\n3. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - People have unique heights: `tall`, `short`, `very short`, `average`\n - Each person has a unique birthday month: `april`, `jan`, `sept`, `feb`\n - People have unique hair colors: `red`, `black`, `brown`, `blonde`\n - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`\n\n## Clues:\n1. Eric is the person who has blonde hair.\n2. The person who is short is somewhere to the left of the person who has brown hair.\n3. Eric is the person who is tall.\n4. Arnold is the person who loves fantasy books.\n5. The person who loves science fiction books is Eric.\n6. The person who is very short is the person who has black hair.\n7. The person whose birthday is in April is the person who has brown hair.\n8. The person who has blonde hair and the person who has black hair are next to each other.\n9. The person who has black hair is the person who loves fantasy books.\n10. The person who has red hair is in the first house.\n11. The person whose birthday is in September is in the second house.\n12. The person whose birthday is in January is the person who has black hair.\n13. The person who loves romance books is somewhere to the right of Alice.\n\n\nChoices:\n0. feb\n1. april\n2. jan\n3. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Bob`, `Alice`, `Arnold`\n - People have unique heights: `very short`, `average`, `tall`, `short`, `very tall`\n - People own unique car models: `toyota camry`, `bmw 3 series`, `honda civic`, `ford f150`, `tesla model 3`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`\n\n## Clues:\n1. Arnold is in the fifth house.\n2. The person who is short is the person who owns a Tesla Model 3.\n3. The person who has an average height is somewhere to the right of Alice.\n4. The person who owns a Honda Civic is not in the third house.\n5. The person who owns a BMW 3 Series is directly left of Arnold.\n6. The person who uses a OnePlus 9 is directly left of the person who owns a Ford F-150.\n7. Alice is directly left of the person who is very short.\n8. The person who uses an iPhone 13 is not in the second house.\n9. The person who uses a Google Pixel 6 is Arnold.\n10. The person who uses a Google Pixel 6 is the person who is tall.\n11. Peter is the person who uses a Huawei P50.\n12. Peter is directly left of the person who uses a OnePlus 9.\n13. Bob is the person who owns a Tesla Model 3.\n\n\nChoices:\n0. Peter\n1. Bob\n2. Arnold\n3. Eric\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n\n## Clues:\n1. The person who loves tennis is in the first house.\n2. The person who loves basketball is not in the second house.\n3. The person who loves basketball is Peter.\n4. The person who loves tennis is Eric.\n\n\nChoices:\n0. basketball\n1. tennis\n2. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`, `Bob`\n - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`\n - The people are of nationalities: `norwegian`, `dane`, `swede`, `german`, `brit`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `roses`, `carnations`, `tulips`\n\n## Clues:\n1. There is one house between the person who loves the rose bouquet and the person who is an artist.\n2. The person who is an engineer is in the second house.\n3. The Swedish person is the person who is an artist.\n4. The Dane is somewhere to the right of Bob.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The Dane is the person who is a doctor.\n7. The person who loves the boquet of lilies is not in the fourth house.\n8. The person who loves the rose bouquet is Peter.\n9. The person who is an engineer is somewhere to the left of the person who is a teacher.\n10. The Norwegian is in the third house.\n11. Arnold is the British person.\n12. The person who loves a carnations arrangement is the Dane.\n13. Alice is the Norwegian.\n\n\nChoices:\n0. norwegian\n1. swede\n2. dane\n3. brit\n4. german\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. The person who is a doctor is not in the first house.\n2. The Dane is the person who is an engineer.\n3. The person who owns a Tesla Model 3 is the Dane.\n4. The person whose mother's name is Janelle is Peter.\n5. The Swedish person is in the third house.\n6. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Janelle.\n7. Eric is not in the first house.\n8. The British person is the person who owns a Toyota Camry.\n9. The person who is an engineer is The person whose mother's name is Janelle.\n\n\nChoices:\n0. doctor\n1. engineer\n2. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a favorite color: `yellow`, `red`, `white`, `green`\n - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `pall mall`, `prince`\n - Each person has a unique level of education: `high school`, `associate`, `master`, `bachelor`\n\n## Clues:\n1. The person whose favorite color is green is somewhere to the left of the person with a high school diploma.\n2. Eric is the person whose favorite color is red.\n3. There are two houses between Alice and the person who loves white.\n4. The person who smokes Blue Master and the person partial to Pall Mall are next to each other.\n5. The person who loves white is the person with a master's degree.\n6. Arnold is in the fourth house.\n7. The person who loves yellow is the person who smokes Blue Master.\n8. The Dunhill smoker is Alice.\n9. The person partial to Pall Mall is the person with a master's degree.\n10. The person who loves yellow is the person with a bachelor's degree.\n\n\nChoices:\n0. associate\n1. master\n2. high school\n3. bachelor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is Arnold.\n2. Eric is in the first house.\n3. The person partial to Pall Mall is directly left of the Prince smoker.\n\n\nChoices:\n0. daffodils\n1. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - The mothers' names in different houses are unique: `Kailyn`, `Aniya`, `Holly`, `Janelle`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`\n - The people keep unique animals: `cat`, `fish`, `bird`, `horse`\n - Each person has a unique level of education: `bachelor`, `high school`, `master`, `associate`\n\n## Clues:\n1. The person with a bachelor's degree is directly left of The person whose mother's name is Aniya.\n2. The person who keeps horses is not in the second house.\n3. Eric is not in the second house.\n4. The person with a high school diploma is the person in a Craftsman-style house.\n5. Peter is somewhere to the left of the person with a master's degree.\n6. Alice is in the third house.\n7. The person in a Craftsman-style house is somewhere to the left of The person whose mother's name is Janelle.\n8. The person living in a colonial-style house is Peter.\n9. The fish enthusiast is the person with a master's degree.\n10. The person with an associate's degree is in the third house.\n11. The person whose mother's name is Kailyn is the bird keeper.\n12. The person whose mother's name is Kailyn is the person residing in a Victorian house.\n\n\nChoices:\n0. bird\n1. cat\n2. horse\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Eric`, `Peter`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`, `blue`\n - Everyone has something unique for lunch: `grilled cheese`, `stew`, `pizza`, `spaghetti`, `stir fry`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`\n - Each person has a unique level of education: `master`, `associate`, `doctorate`, `bachelor`, `high school`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is somewhere to the left of the person whose favorite color is green.\n2. The person whose favorite color is red is Alice.\n3. Bob is directly left of the person whose favorite color is red.\n4. Alice is the person with an associate's degree.\n5. The person with a high school diploma is the person who loves eating grilled cheese.\n6. The person who uses a Google Pixel 6 is the person who loves yellow.\n7. The person who loves stir fry is the person with a bachelor's degree.\n8. The person who is a pizza lover is not in the first house.\n9. The person who loves white is the person with a master's degree.\n10. The person who loves blue is Eric.\n11. The person who uses a Huawei P50 is the person who loves the stew.\n12. The person who uses an iPhone 13 is the person with a high school diploma.\n13. The person whose favorite color is green is the person who loves stir fry.\n14. The person with a doctorate and the person who loves white are next to each other.\n15. The person who loves the stew is not in the second house.\n16. Arnold is somewhere to the right of the person who loves eating grilled cheese.\n17. The person who loves yellow is in the first house.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Arnold\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `bird`, `fish`, `dog`, `cat`\n - Each person has a unique favorite drink: `coffee`, `milk`, `root beer`, `water`, `tea`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `baseball`, `basketball`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `huawei p50`, `samsung galaxy s21`\n\n## Clues:\n1. The root beer lover is the person who owns a dog.\n2. The person who uses an iPhone 13 is the root beer lover.\n3. There is one house between the person who owns a dog and the person who uses a Google Pixel 6.\n4. Bob is somewhere to the right of the person who uses a OnePlus 9.\n5. Alice is not in the fourth house.\n6. Eric is in the fifth house.\n7. The person who likes milk is the person who uses a Samsung Galaxy S21.\n8. The person who loves baseball is the person who uses a Google Pixel 6.\n9. The coffee drinker is in the third house.\n10. Peter is the tea drinker.\n11. The person who loves basketball is the person who owns a dog.\n12. The person with a pet hamster is the person who loves tennis.\n13. There are two houses between Alice and the tea drinker.\n14. The person who loves soccer is the tea drinker.\n15. The person who keeps a pet bird is directly left of the person with an aquarium of fish.\n16. The person with an aquarium of fish is the person who likes milk.\n\n\nChoices:\n0. soccer\n1. swimming\n2. basketball\n3. tennis\n4. baseball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`\n - Each person has a unique hobby: `painting`, `knitting`, `cooking`, `photography`, `gardening`\n\n## Clues:\n1. Alice is in the fifth house.\n2. Bob is directly left of the person who enjoys gardening.\n3. The person who loves cooking and the person who paints as a hobby are next to each other.\n4. The person who paints as a hobby is not in the third house.\n5. The photography enthusiast is not in the third house.\n6. Arnold is in the fourth house.\n7. Bob is in the first house.\n8. The person who enjoys knitting is directly left of Eric.\n\n\nChoices:\n0. knitting\n1. cooking\n2. gardening\n3. painting\n4. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique level of education: `associate`, `bachelor`, `high school`, `master`, `doctorate`\n - People have unique favorite sports: `swimming`, `basketball`, `tennis`, `baseball`, `soccer`\n - Each person prefers a unique type of vacation: `camping`, `cruise`, `city`, `mountain`, `beach`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. The person who uses a Huawei P50 is not in the second house.\n2. The person with a master's degree is the person who uses a Google Pixel 6.\n3. The person who loves swimming is the person with a high school diploma.\n4. The person with a bachelor's degree is directly left of the person who loves tennis.\n5. The person who enjoys camping trips is the person who loves tennis.\n6. Bob is the person who uses a Samsung Galaxy S21.\n7. The person with a high school diploma is not in the third house.\n8. The person who loves swimming is directly left of the person who loves beach vacations.\n9. The person who likes going on cruises is Arnold.\n10. Bob is the person with an associate's degree.\n11. The person who uses a OnePlus 9 is directly left of the person who loves basketball.\n12. The person who enjoys camping trips and the person who prefers city breaks are next to each other.\n13. Eric is the person who loves swimming.\n14. The person who loves basketball is the person who enjoys mountain retreats.\n15. The person who loves tennis is somewhere to the left of Alice.\n16. Arnold is the person who loves soccer.\n\n\nChoices:\n0. basketball\n1. tennis\n2. baseball\n3. soccer\n4. swimming\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - The people are of nationalities: `dane`, `brit`\n - Each person has a unique level of education: `associate`, `high school`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. Eric is not in the first house.\n2. The British person is in the second house.\n3. Eric is the person with a high school diploma.\n4. The person partial to Pall Mall is the British person.\n5. The person who owns a Tesla Model 3 is the person partial to Pall Mall.\n\n\nChoices:\n0. brit\n1. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - People have unique heights: `short`, `very short`, `average`\n\n## Clues:\n1. The person who has an average height is somewhere to the right of the person who prefers city breaks.\n2. The person who enjoys mountain retreats is Arnold.\n3. Eric is somewhere to the right of the person who prefers city breaks.\n4. The person who is very short is Eric.\n5. The person who loves beach vacations is somewhere to the right of Arnold.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique hair colors: `blonde`, `black`, `brown`\n - Each person has a unique birthday month: `jan`, `april`, `sept`\n\n## Clues:\n1. The person whose birthday is in September is the person who has brown hair.\n2. The person who has blonde hair is Arnold.\n3. The person whose birthday is in January is not in the first house.\n4. The person who has black hair is Peter.\n5. The person who has black hair is in the first house.\n6. The person whose birthday is in January is not in the third house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. Eric is not in the first house.\n2. Eric is the person who uses a Google Pixel 6.\n3. Eric is somewhere to the left of Peter.\n4. Peter is the person who uses an iPhone 13.\n\n\nChoices:\n0. samsung galaxy s21\n1. google pixel 6\n2. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a favorite color: `yellow`, `white`, `red`\n\n## Clues:\n1. The Prince smoker is Arnold.\n2. The person who loves yellow is Eric.\n3. The person with an associate's degree is directly left of the person who smokes Blue Master.\n4. The person with an associate's degree is the person partial to Pall Mall.\n5. The person partial to Pall Mall is somewhere to the left of Arnold.\n6. The person whose favorite color is red is in the first house.\n7. The person with a high school diploma is the person who smokes Blue Master.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `milk`, `tea`, `coffee`, `water`\n - The people keep unique animals: `horse`, `bird`, `fish`, `cat`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`\n\n## Clues:\n1. Peter is the cat lover.\n2. The fish enthusiast is not in the third house.\n3. The person who loves beach vacations is the person who keeps horses.\n4. The fish enthusiast is not in the fourth house.\n5. The coffee drinker is directly left of the bird keeper.\n6. The one who only drinks water is Eric.\n7. The tea drinker is somewhere to the right of Peter.\n8. Eric is not in the second house.\n9. The person who loves beach vacations is somewhere to the right of Peter.\n10. The person who loves beach vacations is Alice.\n11. The cat lover is somewhere to the left of the person who likes going on cruises.\n12. The person who keeps horses is directly left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. beach\n1. cruise\n2. city\n3. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`\n - People have unique heights: `short`, `average`, `very short`\n\n## Clues:\n1. Arnold is not in the third house.\n2. Arnold is the person who enjoys mountain retreats.\n3. The person in a ranch-style home is somewhere to the right of the person who is short.\n4. The person who loves beach vacations is not in the first house.\n5. Peter is the person residing in a Victorian house.\n6. The person living in a colonial-style house is in the third house.\n7. The person who has an average height is the person who enjoys mountain retreats.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Arnold`, `Alice`\n - Each mother is accompanied by their child: `Timothy`, `Bella`, `Meredith`, `Samantha`, `Fred`\n\n## Clues:\n1. Arnold is not in the first house.\n2. Alice is directly left of the person's child is named Samantha.\n3. Peter is directly left of Alice.\n4. Arnold is the person's child is named Bella.\n5. Eric is not in the third house.\n6. The person's child is named Meredith is in the fifth house.\n7. The person who is the mother of Timothy is not in the first house.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Bob\n3. Arnold\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `craftsman`, `colonial`, `victorian`\n\n## Clues:\n1. Eric and Alice are next to each other.\n2. The person living in a colonial-style house is in the second house.\n3. The person in a Craftsman-style house is directly left of Arnold.\n4. The person in a ranch-style home is in the fourth house.\n5. Alice is the person in a ranch-style home.\n\n\nChoices:\n0. colonial\n1. victorian\n2. ranch\n3. craftsman\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - People own unique car models: `ford f150`, `tesla model 3`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is somewhere to the right of Arnold.\n2. Arnold is the person who is short.\n3. The person whose mother's name is Holly is in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n\n## Clues:\n1. Peter is somewhere to the right of the person who loves romance books.\n2. The person with a bachelor's degree is in the second house.\n3. The person with a bachelor's degree is the person who loves science fiction books.\n4. The person with an associate's degree is Peter.\n5. Arnold and Peter are next to each other.\n\n\nChoices:\n0. associate\n1. high school\n2. bachelor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Alice`, `Peter`, `Arnold`\n - People have unique favorite music genres: `classical`, `jazz`, `rock`, `pop`, `hip hop`\n\n## Clues:\n1. The person who loves hip-hop music is directly left of Arnold.\n2. Bob is directly left of the person who loves jazz music.\n3. Eric is directly left of Alice.\n4. The person who loves classical music is Eric.\n5. Arnold is the person who loves pop music.\n6. The person who loves rock music is not in the first house.\n\n\nChoices:\n0. Eric\n1. Bob\n2. Arnold\n3. Alice\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `doctor`, `teacher`, `artist`\n\n## Clues:\n1. Eric is not in the second house.\n2. The person who is an engineer is Arnold.\n3. The person who is a doctor is directly left of the person who is an engineer.\n4. Peter is somewhere to the right of the person who is an engineer.\n5. The person who is a teacher is in the first house.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`, `swimming`\n - People have unique hair colors: `red`, `black`, `brown`, `blonde`\n\n## Clues:\n1. Peter and the person who has blonde hair are next to each other.\n2. The person who has black hair is not in the second house.\n3. The person who loves soccer is somewhere to the right of the person who has brown hair.\n4. Eric is in the second house.\n5. The person who loves tennis is the person who has blonde hair.\n6. The person who has brown hair is the person who loves basketball.\n7. Arnold is somewhere to the right of the person who has black hair.\n8. The person who has brown hair is directly left of the person who has black hair.\n\n\nChoices:\n0. tennis\n1. basketball\n2. swimming\n3. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n\n## Clues:\n1. Eric is The person whose mother's name is Aniya.\n2. Eric is not in the second house.\n3. The Desert smoothie lover is directly left of the person who owns a Tesla Model 3.\n\n\nChoices:\n0. cherry\n1. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Each person lives in a unique style of house: `victorian`, `ranch`, `colonial`, `craftsman`\n\n## Clues:\n1. Eric is the person in a Craftsman-style house.\n2. The person in a ranch-style home is directly left of the person residing in a Victorian house.\n3. Eric is in the third house.\n4. Arnold is in the fourth house.\n5. The person residing in a Victorian house is Alice.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Eric\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique heights: `short`, `very short`, `average`, `tall`\n - Each person has a favorite color: `yellow`, `white`, `red`, `green`\n - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`\n - The people keep unique animals: `bird`, `fish`, `horse`, `cat`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the bird keeper.\n2. Peter is not in the first house.\n3. The person who loves the rose bouquet is directly left of Eric.\n4. The person who loves a carnations arrangement and the person who loves the rose bouquet are next to each other.\n5. Alice is directly left of the bird keeper.\n6. The person who keeps horses is Peter.\n7. The fish enthusiast is the person who loves a bouquet of daffodils.\n8. The person whose favorite color is red is the person who loves a bouquet of daffodils.\n9. The person who is tall is in the third house.\n10. The person who has an average height is somewhere to the left of the person who loves white.\n11. The person whose favorite color is green is not in the second house.\n12. The person who is short is somewhere to the left of the person who is tall.\n13. The person who is short is the person whose favorite color is green.\n\n\nChoices:\n0. carnations\n1. daffodils\n2. roses\n3. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a favorite color: `white`, `red`, `yellow`\n\n## Clues:\n1. Eric is directly left of the person whose favorite color is red.\n2. Peter is not in the second house.\n3. The person who loves white is in the third house.\n\n\nChoices:\n0. yellow\n1. white\n2. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `painting`, `photography`, `gardening`\n - Each person has a unique birthday month: `april`, `jan`, `sept`, `feb`\n - Each person has a unique level of education: `master`, `bachelor`, `associate`, `high school`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`\n\n## Clues:\n1. The Desert smoothie lover is the person whose birthday is in January.\n2. Eric is the person with a bachelor's degree.\n3. The person whose birthday is in January is the person with a bachelor's degree.\n4. The person with a high school diploma is in the third house.\n5. The Watermelon smoothie lover is not in the third house.\n6. The person with an associate's degree is Arnold.\n7. The person with a master's degree is the person who paints as a hobby.\n8. There is one house between the Dragonfruit smoothie lover and the person whose birthday is in September.\n9. The person with a high school diploma is the person whose birthday is in September.\n10. The person who loves cooking is Alice.\n11. The person whose birthday is in April and the person who enjoys gardening are next to each other.\n12. The person who paints as a hobby is the person whose birthday is in February.\n\n\nChoices:\n0. cooking\n1. photography\n2. gardening\n3. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - People own unique car models: `ford f150`, `tesla model 3`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is somewhere to the right of Arnold.\n2. Arnold is the person who is short.\n3. The person whose mother's name is Holly is in the second house.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - Each person has a unique hobby: `gardening`, `photography`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. The person who enjoys gardening is directly left of the person who loves eating grilled cheese.\n2. Eric is directly left of the person who is a doctor.\n3. The person who is very short is not in the first house.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Each person has an occupation: `doctor`, `teacher`, `artist`, `engineer`\n - Each person has a unique type of pet: `fish`, `dog`, `bird`, `cat`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `romance`, `mystery`\n\n## Clues:\n1. The person who has a cat is directly left of the person who is a teacher.\n2. Alice and the person who has an average height are next to each other.\n3. The person who is tall is somewhere to the right of Arnold.\n4. The person who keeps a pet bird is not in the third house.\n5. The person who loves science fiction books is the person who is tall.\n6. The person who is a doctor is not in the third house.\n7. The person who loves fantasy books is the person with an aquarium of fish.\n8. Eric is the person who is very short.\n9. The person who is a teacher is directly left of Alice.\n10. The person with an aquarium of fish is somewhere to the right of the person who is an engineer.\n11. The person who loves fantasy books is Eric.\n12. The person who loves romance books and the person with an aquarium of fish are next to each other.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Alice\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `pop`, `rock`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. Arnold is the Prince smoker.\n2. The person who loves a carnations arrangement is the Prince smoker.\n3. The person's child is named Bella is Eric.\n4. The person who loves pop music is Eric.\n5. The person's child is named Bella is in the first house.\n\n\nChoices:\n0. Fred\n1. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a unique birthday month: `april`, `feb`, `mar`, `jan`, `sept`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `dunhill`, `blends`, `blue master`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`, `root beer`\n\n## Clues:\n1. The root beer lover is Eric.\n2. The person partial to Pall Mall is in the third house.\n3. The person whose birthday is in April is Bob.\n4. The Dunhill smoker is the person whose birthday is in March.\n5. Peter is somewhere to the right of the root beer lover.\n6. There is one house between the person whose birthday is in January and Peter.\n7. The person who smokes many unique blends is the person whose birthday is in February.\n8. The person whose birthday is in February is in the second house.\n9. Arnold is directly left of Peter.\n10. The person who likes milk is not in the fifth house.\n11. The person who smokes Blue Master is the coffee drinker.\n12. There is one house between the tea drinker and the coffee drinker.\n13. Eric is in the third house.\n\n\nChoices:\n0. milk\n1. tea\n2. root beer\n3. water\n4. coffee\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - They all have a unique favorite flower: `carnations`, `daffodils`\n\n## Clues:\n1. The person who loves mystery books is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is somewhere to the left of the Desert smoothie lover.\n3. The person who loves eating grilled cheese is directly left of Arnold.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Arnold`, `Alice`\n - Each mother is accompanied by their child: `Timothy`, `Bella`, `Meredith`, `Samantha`, `Fred`\n\n## Clues:\n1. Arnold is not in the first house.\n2. Alice is directly left of the person's child is named Samantha.\n3. Peter is directly left of Alice.\n4. Arnold is the person's child is named Bella.\n5. Eric is not in the third house.\n6. The person's child is named Meredith is in the fifth house.\n7. The person who is the mother of Timothy is not in the first house.\n\n\nChoices:\n0. Samantha\n1. Fred\n2. Meredith\n3. Bella\n4. Timothy\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - The people keep unique animals: `cat`, `bird`, `horse`\n - Each person has a unique favorite drink: `tea`, `water`, `milk`\n\n## Clues:\n1. Peter is somewhere to the left of the person's child is named Meredith.\n2. The person's child is named Fred is directly left of the person who keeps horses.\n3. The person's child is named Fred is in the second house.\n4. The person who likes milk is the person who keeps horses.\n5. The person whose mother's name is Holly is Eric.\n6. The tea drinker is the cat lover.\n7. The person's child is named Bella is Eric.\n8. The tea drinker and Arnold are next to each other.\n9. The person whose mother's name is Janelle is in the second house.\n\n\nChoices:\n0. Janelle\n1. Holly\n2. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Bob`, `Eric`, `Peter`\n - They all have a unique favorite flower: `roses`, `tulips`, `carnations`, `lilies`, `daffodils`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Timothy`, `Bella`, `Samantha`\n\n## Clues:\n1. The person's child is named Meredith is the person who loves a carnations arrangement.\n2. The person's child is named Bella is directly left of the person who loves the vase of tulips.\n3. The person's child is named Bella is the person who loves the rose bouquet.\n4. The person who loves the boquet of lilies is Eric.\n5. There are two houses between Bob and Peter.\n6. Alice is the person's child is named Meredith.\n7. Peter is the person who loves the rose bouquet.\n8. The person's child is named Fred is in the third house.\n9. The person's child is named Samantha is in the fifth house.\n10. The person's child is named Meredith is in the second house.\n\n\nChoices:\n0. carnations\n1. tulips\n2. lilies\n3. daffodils\n4. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Each person lives in a unique style of house: `craftsman`, `ranch`, `victorian`, `colonial`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`, `coffee`\n\n## Clues:\n1. Eric is the one who only drinks water.\n2. The person who likes milk is the person residing in a Victorian house.\n3. The person in a ranch-style home is somewhere to the left of the person in a Craftsman-style house.\n4. Eric is in the third house.\n5. Arnold is somewhere to the right of Alice.\n6. The person in a ranch-style home is Arnold.\n7. Eric and the person residing in a Victorian house are next to each other.\n8. The tea drinker is not in the first house.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`\n\n## Clues:\n1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is not in the first house.\n3. The person with a master's degree is Alice.\n4. The person with a master's degree is directly left of the person who loves classical music.\n5. Eric is not in the second house.\n6. Arnold is not in the third house.\n7. The person who loves yellow is directly left of the person who loves the rose bouquet.\n8. The person who loves pop music is in the second house.\n9. The person with an associate's degree is not in the fourth house.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. The person whose favorite color is red is directly left of the person who loves white.\n12. The person whose favorite color is red is the person who loves rock music.\n13. Arnold is the person who loves yellow.\n14. The person who loves a bouquet of daffodils is the person who loves yellow.\n\n\nChoices:\n0. lilies\n1. daffodils\n2. roses\n3. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - Each person has a unique hobby: `gardening`, `cooking`, `painting`, `photography`\n\n## Clues:\n1. The person who paints as a hobby is somewhere to the left of Peter.\n2. The person who enjoys gardening is not in the fourth house.\n3. Eric is the person who paints as a hobby.\n4. The person who paints as a hobby and the person who loves cooking are next to each other.\n5. The photography enthusiast is somewhere to the left of the person who enjoys gardening.\n6. The photography enthusiast is Alice.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Arnold\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`\n - People have unique favorite book genres: `science fiction`, `mystery`, `fantasy`, `romance`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n\n## Clues:\n1. The person who loves romance books and the person who likes going on cruises are next to each other.\n2. Arnold is The person whose mother's name is Janelle.\n3. The person who prefers city breaks is the person who loves yellow.\n4. The person who loves science fiction books is directly left of Peter.\n5. The person who loves science fiction books is somewhere to the left of The person whose mother's name is Kailyn.\n6. The person who loves beach vacations is not in the first house.\n7. There is one house between Alice and the person who likes going on cruises.\n8. The person who loves mystery books is the person who loves white.\n9. Peter is the person who prefers city breaks.\n10. The person whose favorite color is green is in the third house.\n11. The person whose mother's name is Aniya is Peter.\n12. The person whose favorite color is green is The person whose mother's name is Janelle.\n\n\nChoices:\n0. mystery\n1. fantasy\n2. romance\n3. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique heights: `very short`, `short`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Aniya is Arnold.\n2. The person whose mother's name is Aniya is in the first house.\n3. The person who is very short is not in the second house.\n\n\nChoices:\n0. Aniya\n1. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `science fiction`, `mystery`\n\n## Clues:\n1. Eric is directly left of the person who loves mystery books.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - Each person has a unique favorite drink: `water`, `tea`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. Eric is not in the first house.\n2. The person who loves soccer is the Desert smoothie lover.\n3. The one who only drinks water is the person who likes Cherry smoothies.\n4. The one who only drinks water is Arnold.\n\n\nChoices:\n0. soccer\n1. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `oneplus 9`, `google pixel 6`, `iphone 13`\n - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`\n - People have unique hair colors: `red`, `black`, `blonde`, `brown`\n - Each person has a favorite color: `white`, `yellow`, `red`, `green`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who has brown hair.\n2. The person who has black hair is somewhere to the left of the Prince smoker.\n3. The person who loves yellow is the person who smokes Blue Master.\n4. The Dunhill smoker is the person who uses a OnePlus 9.\n5. The person who uses a OnePlus 9 is directly left of the person who has red hair.\n6. Alice is not in the second house.\n7. The Prince smoker is somewhere to the left of the person who uses a OnePlus 9.\n8. The person who smokes Blue Master is the person who uses a Samsung Galaxy S21.\n9. Eric is the person who loves white.\n10. The person who smokes Blue Master is directly left of the person whose favorite color is red.\n11. The person partial to Pall Mall is Arnold.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is directly left of Peter.\n2. Eric is in the second house.\n3. The Dane is the person in a ranch-style home.\n4. The person who owns a dog is the person living in a colonial-style house.\n5. The person who has a cat is the Dane.\n6. The British person is in the third house.\n\n\nChoices:\n0. victorian\n1. colonial\n2. ranch\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Bob`, `Alice`, `Peter`\n - People have unique heights: `very short`, `short`, `very tall`, `average`, `tall`\n\n## Clues:\n1. The person who is short is in the second house.\n2. The person who is tall is Alice.\n3. Eric is not in the first house.\n4. The person who has an average height is not in the fourth house.\n5. The person who is very tall is in the first house.\n6. Arnold is in the fourth house.\n7. The person who is short is Peter.\n8. The person who is tall is not in the third house.\n\n\nChoices:\n0. Alice\n1. Bob\n2. Peter\n3. Eric\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n - Each person lives in a unique style of house: `ranch`, `victorian`, `colonial`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`\n\n## Clues:\n1. The person who loves romance books is in the third house.\n2. Arnold is the person who loves a carnations arrangement.\n3. The person living in a colonial-style house is the person whose birthday is in September.\n4. The person who loves a carnations arrangement is in the second house.\n5. The person whose birthday is in April is the person in a ranch-style home.\n6. The person who loves science fiction books is Arnold.\n7. The person in a ranch-style home is the person who loves a carnations arrangement.\n8. The person whose birthday is in January is somewhere to the left of Peter.\n9. The person whose birthday is in April is somewhere to the left of the person who loves the boquet of lilies.\n\n\nChoices:\n0. romance\n1. mystery\n2. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n\n## Clues:\n1. Eric is directly left of the person who loves the spaghetti eater.\n2. The person who loves science fiction books is in the third house.\n3. The person who loves mystery books is somewhere to the right of Eric.\n4. There is one house between the person who is a pizza lover and Peter.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. The person who owns a Ford F-150 is Arnold.\n2. Arnold is in the first house.\n\n\nChoices:\n0. tesla model 3\n1. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique hobby: `gardening`, `photography`, `cooking`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n\n## Clues:\n1. Eric is directly left of the Prince smoker.\n2. There is one house between the person who likes milk and the person who enjoys gardening.\n3. Arnold is the Prince smoker.\n4. Peter is not in the third house.\n5. The tea drinker is the person who loves cooking.\n6. The person partial to Pall Mall is the photography enthusiast.\n\n\nChoices:\n0. tea\n1. water\n2. milk\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - The people are of nationalities: `dane`, `brit`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The Desert smoothie lover is not in the second house.\n2. The Desert smoothie lover is Eric.\n3. The Dane is The person whose mother's name is Holly.\n4. Eric is The person whose mother's name is Holly.\n5. Eric is the person who loves mystery books.\n\n\nChoices:\n0. desert\n1. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique hair colors: `brown`, `black`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. The person who has black hair is not in the first house.\n2. Eric is in the second house.\n3. The person who loves eating grilled cheese is Eric.\n4. The Prince smoker is the person who has black hair.\n\n\nChoices:\n0. black\n1. brown\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - The mothers' names in different houses are unique: `Kailyn`, `Aniya`, `Holly`, `Janelle`\n - Each person has a unique birthday month: `feb`, `sept`, `jan`, `april`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`, `painting`\n\n## Clues:\n1. Peter is the person whose birthday is in February.\n2. Arnold is not in the third house.\n3. The person whose mother's name is Aniya is somewhere to the left of the person who enjoys gardening.\n4. The person whose birthday is in January is in the second house.\n5. The person whose birthday is in February is not in the third house.\n6. The person whose birthday is in February is the photography enthusiast.\n7. Alice is somewhere to the right of the person whose birthday is in April.\n8. The person whose mother's name is Kailyn is somewhere to the left of the person whose birthday is in September.\n9. The person who enjoys gardening is not in the fourth house.\n10. The person who loves cooking is The person whose mother's name is Janelle.\n11. Peter is The person whose mother's name is Kailyn.\n\n\nChoices:\n0. Janelle\n1. Kailyn\n2. Aniya\n3. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. Eric is the person who uses a Samsung Galaxy S21.\n2. The person who loves yellow is the person who uses an iPhone 13.\n3. The person who loves yellow is directly left of the person who is a doctor.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. Eric is the person whose birthday is in September.\n2. The person whose favorite color is red is somewhere to the left of the person who loves yellow.\n3. Eric is in the second house.\n4. The person who loves mystery books is not in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Eric`\n - The people keep unique animals: `cat`, `fish`, `bird`, `horse`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `basketball`\n - People have unique hair colors: `blonde`, `brown`, `black`, `red`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n\n## Clues:\n1. The person who loves tennis is in the second house.\n2. The person who has brown hair and the person who loves basketball are next to each other.\n3. Alice is the person who keeps a pet bird.\n4. Arnold is the person who loves soccer.\n5. The person who has blonde hair is the person with an aquarium of fish.\n6. The person who keeps a pet bird is in the second house.\n7. Arnold is in the third house.\n8. The person who loves swimming is in the first house.\n9. The person who has red hair is not in the first house.\n10. The person who keeps horses is in the fourth house.\n11. Eric is somewhere to the left of the fish enthusiast.\n12. The person who has a cat is directly left of the bird keeper.\n\n\nChoices:\n0. Peter\n1. Alice\n2. Arnold\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`, `lawyer`, `artist`\n\n## Clues:\n1. The person who is an artist is Peter.\n2. The person who is an engineer is in the first house.\n3. Arnold is the person who is a teacher.\n4. Alice is in the fourth house.\n5. The person who is a teacher is not in the second house.\n6. The person who is a lawyer is somewhere to the left of Eric.\n\n\nChoices:\n0. lawyer\n1. artist\n2. teacher\n3. doctor\n4. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who is very short is Eric.\n2. The person who is very short is not in the first house.\n3. The person who loves a bouquet of daffodils is in the second house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person with a high school diploma is in the second house.\n2. Eric is not in the second house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - The people are of nationalities: `brit`, `swede`, `norwegian`, `dane`\n - They all have a unique favorite flower: `carnations`, `lilies`, `roses`, `daffodils`\n - Each person has a unique level of education: `high school`, `bachelor`, `master`, `associate`\n\n## Clues:\n1. The Norwegian is directly left of the person who loves the rose bouquet.\n2. The person with a high school diploma is Eric.\n3. Arnold is not in the first house.\n4. The person with an associate's degree is the person who loves a carnations arrangement.\n5. The Dane is not in the third house.\n6. Peter is the person who loves the rose bouquet.\n7. The Swedish person and the Norwegian are next to each other.\n8. Eric is in the second house.\n9. The person who loves the boquet of lilies is the person with a master's degree.\n10. The person who loves the boquet of lilies is the Swedish person.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who loves the spaghetti eater and Peter are next to each other.\n2. The person who loves eating grilled cheese is directly left of The person whose mother's name is Aniya.\n3. The person who loves eating grilled cheese is Eric.\n4. Peter is The person whose mother's name is Holly.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n2. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - People have unique hair colors: `gray`, `blonde`, `red`, `brown`, `black`\n - Each person has an occupation: `engineer`, `artist`, `lawyer`, `teacher`, `doctor`\n\n## Clues:\n1. The person who has black hair is the person who is a teacher.\n2. The person who is a doctor is somewhere to the right of the person who is an artist.\n3. There is one house between Eric and Alice.\n4. Eric is somewhere to the left of Alice.\n5. The person who has brown hair and Alice are next to each other.\n6. Alice is the person who has red hair.\n7. There are two houses between the person who has brown hair and the person who has blonde hair.\n8. Alice is the person who is an engineer.\n9. Arnold is the person who has blonde hair.\n10. The person who is a doctor is Peter.\n11. The person who has brown hair is somewhere to the left of the person who is a teacher.\n\n\nChoices:\n0. engineer\n1. doctor\n2. teacher\n3. lawyer\n4. artist\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Bob`, `Eric`\n - People have unique favorite sports: `tennis`, `swimming`, `soccer`, `basketball`, `baseball`\n - Each person has a unique level of education: `doctorate`, `associate`, `master`, `high school`, `bachelor`\n - They all have a unique favorite flower: `daffodils`, `tulips`, `lilies`, `carnations`, `roses`\n\n## Clues:\n1. The person who loves swimming is the person who loves a carnations arrangement.\n2. The person with an associate's degree is the person who loves basketball.\n3. The person who loves a carnations arrangement is directly left of the person with a master's degree.\n4. The person with a master's degree is Eric.\n5. Alice is the person with a bachelor's degree.\n6. Peter is the person who loves the rose bouquet.\n7. The person who loves swimming is somewhere to the right of the person who loves soccer.\n8. The person who loves the boquet of lilies is directly left of the person who loves the vase of tulips.\n9. The person with a high school diploma is in the third house.\n10. The person who loves a carnations arrangement is the person with a doctorate.\n11. Arnold is not in the second house.\n12. The person who loves baseball is in the first house.\n\n\nChoices:\n0. basketball\n1. tennis\n2. baseball\n3. swimming\n4. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - The mothers' names in different houses are unique: `Kailyn`, `Aniya`, `Holly`, `Janelle`\n - Each person has a unique birthday month: `feb`, `sept`, `jan`, `april`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`, `painting`\n\n## Clues:\n1. Peter is the person whose birthday is in February.\n2. Arnold is not in the third house.\n3. The person whose mother's name is Aniya is somewhere to the left of the person who enjoys gardening.\n4. The person whose birthday is in January is in the second house.\n5. The person whose birthday is in February is not in the third house.\n6. The person whose birthday is in February is the photography enthusiast.\n7. Alice is somewhere to the right of the person whose birthday is in April.\n8. The person whose mother's name is Kailyn is somewhere to the left of the person whose birthday is in September.\n9. The person who enjoys gardening is not in the fourth house.\n10. The person who loves cooking is The person whose mother's name is Janelle.\n11. Peter is The person whose mother's name is Kailyn.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `milk`, `tea`, `coffee`, `water`\n - The people keep unique animals: `horse`, `bird`, `fish`, `cat`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`\n\n## Clues:\n1. Peter is the cat lover.\n2. The fish enthusiast is not in the third house.\n3. The person who loves beach vacations is the person who keeps horses.\n4. The fish enthusiast is not in the fourth house.\n5. The coffee drinker is directly left of the bird keeper.\n6. The one who only drinks water is Eric.\n7. The tea drinker is somewhere to the right of Peter.\n8. Eric is not in the second house.\n9. The person who loves beach vacations is somewhere to the right of Peter.\n10. The person who loves beach vacations is Alice.\n11. The cat lover is somewhere to the left of the person who likes going on cruises.\n12. The person who keeps horses is directly left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n3. coffee\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Everyone has something unique for lunch: `stew`, `stir fry`, `spaghetti`, `grilled cheese`, `pizza`\n - Everyone has a favorite smoothie: `watermelon`, `lime`, `desert`, `dragonfruit`, `cherry`\n - People have unique favorite book genres: `fantasy`, `biography`, `mystery`, `science fiction`, `romance`\n - Each person has a unique hobby: `photography`, `knitting`, `cooking`, `gardening`, `painting`\n\n## Clues:\n1. The person who loves stir fry is the Desert smoothie lover.\n2. The person who loves the spaghetti eater is the person who enjoys gardening.\n3. Bob is somewhere to the left of the person who loves mystery books.\n4. The person who paints as a hobby is directly left of Alice.\n5. The Desert smoothie lover is the person who loves romance books.\n6. The photography enthusiast and the person who loves eating grilled cheese are next to each other.\n7. The person who loves cooking is somewhere to the left of the Desert smoothie lover.\n8. The person who likes Cherry smoothies is Alice.\n9. There is one house between the person who drinks Lime smoothies and the person who enjoys gardening.\n10. The Watermelon smoothie lover is Eric.\n11. The person who loves eating grilled cheese is directly left of the Dragonfruit smoothie lover.\n12. The person who is a pizza lover is Alice.\n13. The person who loves romance books is Peter.\n14. The person who loves fantasy books is the Watermelon smoothie lover.\n15. Alice is the person who loves biography books.\n16. Eric is not in the third house.\n\n\nChoices:\n0. gardening\n1. knitting\n2. painting\n3. cooking\n4. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n\n## Clues:\n1. The Desert smoothie lover is the person who is a doctor.\n2. Arnold is not in the third house.\n3. The person who likes Cherry smoothies is somewhere to the right of Peter.\n4. The person who loves cooking is in the second house.\n5. The person who loves cooking is Peter.\n6. The person with an associate's degree is somewhere to the right of the person who enjoys gardening.\n7. The person with a bachelor's degree is somewhere to the right of the Desert smoothie lover.\n8. The person who loves cooking is the person who is a doctor.\n9. The photography enthusiast is the person who is a teacher.\n\n\nChoices:\n0. cherry\n1. watermelon\n2. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person who owns a dog is in the first house.\n2. The person whose mother's name is Janelle is the person with an aquarium of fish.\n3. There is one house between Eric and The person whose mother's name is Holly.\n4. The person who loves mystery books is in the first house.\n5. The person who loves romance books is directly left of Peter.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - People have unique heights: `very short`, `short`, `tall`, `average`\n - Each person prefers a unique type of vacation: `cruise`, `beach`, `city`, `mountain`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`, `Samantha`\n\n## Clues:\n1. The person who loves beach vacations is the person who is very short.\n2. The person who is very short is the person who loves white.\n3. The person who has an average height is the person's child is named Bella.\n4. The person who has an average height is the person whose favorite color is red.\n5. Peter is the person's child is named Samantha.\n6. The person whose favorite color is green is directly left of the person who loves white.\n7. Alice is in the third house.\n8. The person who likes going on cruises is the person's child is named Bella.\n9. The person who is short is the person who loves yellow.\n10. The person who is very short is the person's child is named Fred.\n11. Eric is the person who loves yellow.\n12. The person who prefers city breaks is Eric.\n13. The person who is short is somewhere to the left of the person who is tall.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Arnold\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People have unique hair colors: `brown`, `blonde`, `black`\n - The people keep unique animals: `cat`, `horse`, `bird`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`\n\n## Clues:\n1. Peter is the bird keeper.\n2. The cat lover is the person who likes Cherry smoothies.\n3. The person who has brown hair is the Watermelon smoothie lover.\n4. The Watermelon smoothie lover is the person who loves pop music.\n5. Arnold is the person who has blonde hair.\n6. The Desert smoothie lover is the person who loves classical music.\n7. There is one house between the cat lover and the person who has blonde hair.\n8. The person who likes Cherry smoothies is not in the third house.\n\n\nChoices:\n0. black\n1. brown\n2. blonde\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Everyone has something unique for lunch: `stew`, `stir fry`, `spaghetti`, `grilled cheese`, `pizza`\n - Everyone has a favorite smoothie: `watermelon`, `lime`, `desert`, `dragonfruit`, `cherry`\n - People have unique favorite book genres: `fantasy`, `biography`, `mystery`, `science fiction`, `romance`\n - Each person has a unique hobby: `photography`, `knitting`, `cooking`, `gardening`, `painting`\n\n## Clues:\n1. The person who loves stir fry is the Desert smoothie lover.\n2. The person who loves the spaghetti eater is the person who enjoys gardening.\n3. Bob is somewhere to the left of the person who loves mystery books.\n4. The person who paints as a hobby is directly left of Alice.\n5. The Desert smoothie lover is the person who loves romance books.\n6. The photography enthusiast and the person who loves eating grilled cheese are next to each other.\n7. The person who loves cooking is somewhere to the left of the Desert smoothie lover.\n8. The person who likes Cherry smoothies is Alice.\n9. There is one house between the person who drinks Lime smoothies and the person who enjoys gardening.\n10. The Watermelon smoothie lover is Eric.\n11. The person who loves eating grilled cheese is directly left of the Dragonfruit smoothie lover.\n12. The person who is a pizza lover is Alice.\n13. The person who loves romance books is Peter.\n14. The person who loves fantasy books is the Watermelon smoothie lover.\n15. Alice is the person who loves biography books.\n16. Eric is not in the third house.\n\n\nChoices:\n0. gardening\n1. knitting\n2. photography\n3. cooking\n4. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`, `cooking`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is in the first house.\n2. The person who loves cooking is in the second house.\n3. Eric is the person who has a cat.\n4. Arnold is the person who enjoys gardening.\n5. The person who enjoys gardening is in the third house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. Eric is the person who prefers city breaks.\n2. Peter is the person who loves beach vacations.\n3. Arnold is somewhere to the right of the person who loves a carnations arrangement.\n4. The person whose birthday is in April is the person who loves a bouquet of daffodils.\n5. The person who loves a carnations arrangement is Peter.\n6. The person whose birthday is in September is somewhere to the left of Peter.\n\n\nChoices:\n0. jan\n1. april\n2. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`\n - Each person has a unique birthday month: `april`, `sept`, `feb`, `jan`\n - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`\n - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`\n\n## Clues:\n1. The person who owns a Toyota Camry is in the first house.\n2. Eric and the person who loves the spaghetti eater are next to each other.\n3. The person who is an engineer is the person who loves eating grilled cheese.\n4. Peter is the person who owns a Toyota Camry.\n5. The person whose birthday is in April is directly left of the person whose birthday is in February.\n6. The person who is a doctor is somewhere to the right of the person who is an artist.\n7. The person who owns a Ford F-150 is the person who is a doctor.\n8. The person whose birthday is in September is somewhere to the left of Alice.\n9. Arnold is the person who is an artist.\n10. The person who loves the spaghetti eater is the person who owns a Ford F-150.\n11. The person who is an engineer is the person whose birthday is in April.\n12. The person whose birthday is in February and the person who is a pizza lover are next to each other.\n13. The person who owns a Honda Civic is Eric.\n\n\nChoices:\n0. jan\n1. feb\n2. sept\n3. april\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `dunhill`, `prince`\n - People have unique heights: `tall`, `average`, `short`, `very short`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The Dragonfruit smoothie lover is Eric.\n2. The Dunhill smoker is the person who likes Cherry smoothies.\n3. The person who uses a Samsung Galaxy S21 is directly left of the person who uses an iPhone 13.\n4. The Dunhill smoker is somewhere to the right of the person who is very short.\n5. The Watermelon smoothie lover is somewhere to the right of the Desert smoothie lover.\n6. The Prince smoker is the person who uses a OnePlus 9.\n7. The person who is tall is in the third house.\n8. The person who is very short is the person who uses an iPhone 13.\n9. The person who smokes Blue Master is not in the first house.\n10. The Dunhill smoker is the person who is short.\n11. Peter is not in the third house.\n12. Arnold is the person who uses a Google Pixel 6.\n13. The Dragonfruit smoothie lover is the person partial to Pall Mall.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Arnold\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `coffee`, `milk`\n - Each person has a unique level of education: `master`, `associate`, `high school`, `bachelor`\n - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`\n - Each person has a favorite color: `yellow`, `white`, `green`, `red`\n\n## Clues:\n1. Eric is the person with an associate's degree.\n2. The person whose mother's name is Kailyn is the person who loves yellow.\n3. The person who likes milk is in the third house.\n4. The person who likes milk is somewhere to the right of the person who loves white.\n5. The person with a bachelor's degree is in the first house.\n6. The person whose mother's name is Aniya is not in the second house.\n7. The one who only drinks water is Arnold.\n8. The person whose favorite color is green is Peter.\n9. The person whose favorite color is red is somewhere to the left of the person who loves white.\n10. The person with a high school diploma is directly left of The person whose mother's name is Janelle.\n11. The person with a high school diploma is the tea drinker.\n\n\nChoices:\n0. master\n1. bachelor\n2. associate\n3. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`\n - Each person has an occupation: `teacher`, `doctor`, `engineer`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`\n\n## Clues:\n1. The person who loves a carnations arrangement is the person who is a teacher.\n2. The person who uses an iPhone 13 is Peter.\n3. The person who uses a Samsung Galaxy S21 is the Prince smoker.\n4. The person who loves the boquet of lilies is the person who is a doctor.\n5. The person who is a doctor is the person who uses a Samsung Galaxy S21.\n6. The person who is a doctor is in the second house.\n7. The person who loves a carnations arrangement is somewhere to the left of Arnold.\n8. Eric is in the first house.\n9. The person partial to Pall Mall is the person who uses an iPhone 13.\n\n\nChoices:\n0. pall mall\n1. prince\n2. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Penny`, `Kailyn`, `Aniya`, `Janelle`, `Holly`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`, `dunhill`, `blends`\n - The people keep unique animals: `bird`, `cat`, `horse`, `fish`, `dog`\n - Everyone has something unique for lunch: `grilled cheese`, `stir fry`, `pizza`, `spaghetti`, `stew`\n\n## Clues:\n1. The person who loves the stew is somewhere to the left of the fish enthusiast.\n2. The person who is a pizza lover is somewhere to the right of the Dunhill smoker.\n3. Peter is the cat lover.\n4. The dog owner is directly left of the person who loves the spaghetti eater.\n5. The person who loves stir fry is The person whose mother's name is Aniya.\n6. There are two houses between the fish enthusiast and Eric.\n7. The person who smokes many unique blends is The person whose mother's name is Kailyn.\n8. The fish enthusiast is the person who loves the spaghetti eater.\n9. The fish enthusiast is in the second house.\n10. The person whose mother's name is Kailyn is the person who loves the stew.\n11. The person whose mother's name is Janelle is not in the fifth house.\n12. The person whose mother's name is Holly is the person who smokes Blue Master.\n13. Arnold is The person whose mother's name is Aniya.\n14. The person who loves the spaghetti eater and the person partial to Pall Mall are next to each other.\n15. Peter is not in the third house.\n16. Arnold is the person who keeps horses.\n17. The person whose mother's name is Holly is Bob.\n\n\nChoices:\n0. prince\n1. blends\n2. blue master\n3. pall mall\n4. dunhill\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is not in the first house.\n2. The person who is a pizza lover is the person who loves a bouquet of daffodils.\n3. The person who loves a bouquet of daffodils is Eric.\n4. The person with a high school diploma is the person who loves a bouquet of daffodils.\n5. The person who loves pop music is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. rock\n1. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Arnold`, `Peter`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Penny`, `Kailyn`, `Holly`\n - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`, `hip hop`\n - Everyone has something unique for lunch: `grilled cheese`, `stir fry`, `stew`, `spaghetti`, `pizza`\n\n## Clues:\n1. Eric is somewhere to the left of the person who loves classical music.\n2. The person who loves eating grilled cheese is directly left of The person whose mother's name is Janelle.\n3. The person whose mother's name is Penny is directly left of Alice.\n4. The person who loves stir fry is Peter.\n5. The person who loves the spaghetti eater is Alice.\n6. Eric is somewhere to the left of the person who loves rock music.\n7. The person whose mother's name is Kailyn is directly left of The person whose mother's name is Aniya.\n8. The person who loves rock music is not in the third house.\n9. The person who loves eating grilled cheese is directly left of the person who loves the stew.\n10. The person who loves pop music is The person whose mother's name is Kailyn.\n11. The person who loves the spaghetti eater is the person who loves jazz music.\n12. The person who loves pop music is Arnold.\n\n\nChoices:\n0. Kailyn\n1. Aniya\n2. Penny\n3. Janelle\n4. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - People own unique car models: `honda civic`, `tesla model 3`, `ford f150`, `toyota camry`\n - Each person has a unique type of pet: `bird`, `cat`, `fish`, `dog`\n - People use unique phone models: `oneplus 9`, `iphone 13`, `google pixel 6`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who owns a dog.\n2. Alice is not in the second house.\n3. The person who uses an iPhone 13 is the person who owns a Toyota Camry.\n4. The person who uses a Google Pixel 6 is not in the fourth house.\n5. The person who owns a Ford F-150 is not in the second house.\n6. The person with an aquarium of fish is directly left of the person who keeps a pet bird.\n7. Peter is the person who uses a Google Pixel 6.\n8. The person who owns a Tesla Model 3 is directly left of the person who uses an iPhone 13.\n9. Eric is not in the second house.\n10. Eric is not in the first house.\n11. The person who uses a Google Pixel 6 and the person who owns a Ford F-150 are next to each other.\n12. The person who uses a OnePlus 9 is somewhere to the left of the person who owns a Ford F-150.\n\n\nChoices:\n0. toyota camry\n1. ford f150\n2. honda civic\n3. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. The person who is a doctor is not in the first house.\n2. The Dane is the person who is an engineer.\n3. The person who owns a Tesla Model 3 is the Dane.\n4. The person whose mother's name is Janelle is Peter.\n5. The Swedish person is in the third house.\n6. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Janelle.\n7. Eric is not in the first house.\n8. The British person is the person who owns a Toyota Camry.\n9. The person who is an engineer is The person whose mother's name is Janelle.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has something unique for lunch: `spaghetti`, `grilled cheese`, `pizza`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person partial to Pall Mall is in the third house.\n2. The person who smokes Blue Master is not in the second house.\n3. The person with an associate's degree is in the second house.\n4. The person who loves the spaghetti eater is Arnold.\n5. The person who has a cat is the person who is a pizza lover.\n6. The person partial to Pall Mall is somewhere to the right of the person who owns a dog.\n7. Peter is not in the third house.\n8. The person with a bachelor's degree is directly left of Eric.\n9. The person who has a cat is not in the first house.\n\n\nChoices:\n0. prince\n1. pall mall\n2. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Bob`, `Peter`\n - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `tulips`, `daffodils`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `mar`, `jan`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`, `stir fry`, `stew`\n - Each person lives in a unique style of house: `colonial`, `craftsman`, `victorian`, `ranch`, `modern`\n\n## Clues:\n1. The person whose birthday is in September is the person who loves the spaghetti eater.\n2. The person whose birthday is in February is Alice.\n3. The person in a Craftsman-style house is Eric.\n4. The person who loves the stew is the person in a modern-style house.\n5. The person who loves the vase of tulips is somewhere to the left of the person who is a pizza lover.\n6. The person who loves the stew is in the fourth house.\n7. The person whose birthday is in March is in the third house.\n8. The person whose birthday is in September is in the first house.\n9. The person who loves the boquet of lilies is the person whose birthday is in February.\n10. The person residing in a Victorian house is directly left of the person who is a pizza lover.\n11. The person whose birthday is in January is the person who loves a carnations arrangement.\n12. The person who loves eating grilled cheese is directly left of the person who loves the stew.\n13. The person living in a colonial-style house is the person whose birthday is in March.\n14. The person who is a pizza lover is somewhere to the left of Arnold.\n15. There is one house between the person who loves the rose bouquet and the person whose birthday is in April.\n16. The person in a modern-style house is Peter.\n\n\nChoices:\n0. craftsman\n1. colonial\n2. modern\n3. victorian\n4. ranch\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n\n## Clues:\n1. Arnold is the person who loves mystery books.\n2. The person who loves mystery books is not in the second house.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n - The people keep unique animals: `horse`, `cat`\n - Each person has a unique birthday month: `sept`, `april`\n - They all have a unique favorite flower: `carnations`, `daffodils`\n\n## Clues:\n1. The person whose birthday is in September is directly left of the person who keeps horses.\n2. Arnold is The person whose mother's name is Aniya.\n3. The cat lover is the person who loves a carnations arrangement.\n4. The person whose birthday is in April is The person whose mother's name is Holly.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves pop music is Arnold.\n2. Arnold is not in the second house.\n\n\nChoices:\n0. rock\n1. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`\n\n## Clues:\n1. Arnold is somewhere to the left of the person who loves romance books.\n2. The person who loves soccer is the person who loves a carnations arrangement.\n3. The person who loves mystery books is the person whose birthday is in September.\n4. The person who loves tennis is in the second house.\n5. Peter is the person who loves a bouquet of daffodils.\n6. Eric is somewhere to the left of the person whose birthday is in April.\n7. The person who loves science fiction books is somewhere to the right of the person who loves tennis.\n\n\nChoices:\n0. soccer\n1. tennis\n2. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `bird`, `fish`, `dog`, `cat`\n - Each person has a unique favorite drink: `coffee`, `milk`, `root beer`, `water`, `tea`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `baseball`, `basketball`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `huawei p50`, `samsung galaxy s21`\n\n## Clues:\n1. The root beer lover is the person who owns a dog.\n2. The person who uses an iPhone 13 is the root beer lover.\n3. There is one house between the person who owns a dog and the person who uses a Google Pixel 6.\n4. Bob is somewhere to the right of the person who uses a OnePlus 9.\n5. Alice is not in the fourth house.\n6. Eric is in the fifth house.\n7. The person who likes milk is the person who uses a Samsung Galaxy S21.\n8. The person who loves baseball is the person who uses a Google Pixel 6.\n9. The coffee drinker is in the third house.\n10. Peter is the tea drinker.\n11. The person who loves basketball is the person who owns a dog.\n12. The person with a pet hamster is the person who loves tennis.\n13. There are two houses between Alice and the tea drinker.\n14. The person who loves soccer is the tea drinker.\n15. The person who keeps a pet bird is directly left of the person with an aquarium of fish.\n16. The person with an aquarium of fish is the person who likes milk.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Eric\n3. Bob\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a unique birthday month: `april`, `sept`\n - The people keep unique animals: `horse`, `cat`\n\n## Clues:\n1. Eric is in the first house.\n2. Eric is the person whose birthday is in September.\n3. The person who loves science fiction books is in the second house.\n4. The person who keeps horses is the person whose birthday is in September.\n\n\nChoices:\n0. science fiction\n1. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n\n## Clues:\n1. The person who is a pizza lover is in the second house.\n2. Arnold is not in the first house.\n\n\nChoices:\n0. grilled cheese\n1. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n\n## Clues:\n1. Arnold is somewhere to the right of Eric.\n2. The person who likes milk is the person who enjoys gardening.\n3. Arnold is somewhere to the left of the person who likes milk.\n4. The tea drinker is in the first house.\n5. The photography enthusiast is Eric.\n\n\nChoices:\n0. gardening\n1. cooking\n2. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - People have unique heights: `short`, `very short`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Each person has a unique favorite drink: `tea`, `water`\n\n## Clues:\n1. The person who is very short is the person who is a pizza lover.\n2. The person who loves eating grilled cheese is in the second house.\n3. The person with a high school diploma is the person who is a pizza lover.\n4. The tea drinker is the person who loves eating grilled cheese.\n5. Arnold is the person who is a pizza lover.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`, `jazz`\n - Each person has a unique level of education: `master`, `associate`, `bachelor`, `high school`\n\n## Clues:\n1. Alice is directly left of the person with a high school diploma.\n2. The person with a master's degree and the person with a high school diploma are next to each other.\n3. Eric is not in the fourth house.\n4. The person who loves pop music is somewhere to the left of the person with a bachelor's degree.\n5. The person who loves rock music is in the second house.\n6. Peter is the person with a high school diploma.\n7. Alice is somewhere to the right of the person who loves jazz music.\n\n\nChoices:\n0. jazz\n1. pop\n2. rock\n3. classical\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique favorite drink: `water`, `tea`\n - Each person has a unique type of pet: `cat`, `dog`\n - The people are of nationalities: `dane`, `brit`\n\n## Clues:\n1. The British person is not in the second house.\n2. The one who only drinks water is not in the first house.\n3. The British person and Eric are next to each other.\n4. The person who has a cat is not in the first house.\n\n\nChoices:\n0. water\n1. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Peter`, `Arnold`, `Alice`\n - The people keep unique animals: `horse`, `dog`, `cat`, `fish`, `bird`\n - Each person has a unique birthday month: `sept`, `april`, `jan`, `mar`, `feb`\n\n## Clues:\n1. The dog owner is in the first house.\n2. The person whose birthday is in February is Eric.\n3. The person whose birthday is in April is in the first house.\n4. Arnold is somewhere to the right of the person whose birthday is in January.\n5. The dog owner is somewhere to the left of Peter.\n6. Alice is somewhere to the left of the person whose birthday is in September.\n7. The fish enthusiast is directly left of Alice.\n8. The bird keeper is not in the fourth house.\n9. The person who keeps horses is somewhere to the right of Arnold.\n10. Peter is somewhere to the left of the person whose birthday is in February.\n11. There is one house between the person whose birthday is in April and the person whose birthday is in January.\n\n\nChoices:\n0. mar\n1. jan\n2. feb\n3. sept\n4. april\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`\n - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person who loves eating grilled cheese.\n2. Arnold is not in the first house.\n3. Peter is directly left of the person who enjoys gardening.\n4. The person who loves eating grilled cheese and Peter are next to each other.\n5. There are two houses between the person who loves jazz music and Arnold.\n6. The person who loves cooking is the person who loves rock music.\n7. The person who loves pop music is the person who paints as a hobby.\n8. The person who paints as a hobby is Alice.\n9. The person who enjoys gardening is the person who loves the spaghetti eater.\n\n\nChoices:\n0. photography\n1. cooking\n2. gardening\n3. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a unique favorite drink: `tea`, `water`\n - Each person has a unique type of pet: `dog`, `cat`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. The one who only drinks water is somewhere to the left of the person who owns a dog.\n2. The person who has brown hair is somewhere to the left of Eric.\n3. The one who only drinks water is the person whose birthday is in April.\n\n\nChoices:\n0. tea\n1. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The people keep unique animals: `horse`, `cat`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a carnations arrangement is Eric.\n2. The person who loves a bouquet of daffodils is the person who loves eating grilled cheese.\n3. The person who loves eating grilled cheese is in the second house.\n4. The cat lover is in the first house.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n - Each person lives in a unique style of house: `colonial`, `craftsman`, `ranch`, `victorian`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Aniya`\n - Each mother is accompanied by their child: `Fred`, `Samantha`, `Meredith`, `Bella`\n\n## Clues:\n1. The person whose mother's name is Kailyn is in the second house.\n2. The person living in a colonial-style house is the person's child is named Meredith.\n3. There is one house between the person's child is named Samantha and The person whose mother's name is Janelle.\n4. The person in a ranch-style home is the person's child is named Fred.\n5. Eric is the person's child is named Bella.\n6. The person whose mother's name is Janelle is the person with an aquarium of fish.\n7. Arnold is the person in a Craftsman-style house.\n8. The person who keeps a pet bird and the person with an aquarium of fish are next to each other.\n9. The person whose mother's name is Holly is directly left of Peter.\n10. The person who has a cat is the person living in a colonial-style house.\n11. The person's child is named Fred is somewhere to the left of The person whose mother's name is Janelle.\n\n\nChoices:\n0. bird\n1. cat\n2. dog\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Arnold`, `Peter`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Fred`, `Samantha`\n - They all have a unique favorite flower: `tulips`, `roses`, `lilies`, `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is not in the first house.\n2. The person's child is named Fred is Bob.\n3. The person's child is named Fred is not in the second house.\n4. The person's child is named Fred is somewhere to the left of the person who loves a carnations arrangement.\n5. Peter is not in the first house.\n6. The person's child is named Fred and the person who loves the boquet of lilies are next to each other.\n7. Arnold is the person who is the mother of Timothy.\n8. The person's child is named Bella is somewhere to the right of Eric.\n9. The person who is the mother of Timothy is not in the first house.\n10. Eric is the person who loves the boquet of lilies.\n11. There is one house between the person's child is named Meredith and the person's child is named Fred.\n12. The person who loves the vase of tulips is in the second house.\n\n\nChoices:\n0. Bella\n1. Fred\n2. Timothy\n3. Meredith\n4. Samantha\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Peter`, `Arnold`, `Eric`\n - Each person has a unique type of pet: `dog`, `cat`, `hamster`, `fish`, `bird`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `blends`, `pall mall`\n\n## Clues:\n1. Peter is directly left of Bob.\n2. The person who smokes many unique blends is somewhere to the left of Peter.\n3. Arnold is in the third house.\n4. Eric is the person with a pet hamster.\n5. The person partial to Pall Mall is the person who has a cat.\n6. The person partial to Pall Mall is somewhere to the left of the person with an aquarium of fish.\n7. Eric is somewhere to the left of the person who has a cat.\n8. Peter is the person who keeps a pet bird.\n9. The Dunhill smoker and the person who has a cat are next to each other.\n10. The person who keeps a pet bird is the Prince smoker.\n11. There is one house between the person who owns a dog and the person who has a cat.\n\n\nChoices:\n0. dunhill\n1. prince\n2. blends\n3. blue master\n4. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `cooking`, `photography`\n\n## Clues:\n1. The person who enjoys gardening is somewhere to the left of Bob.\n2. Peter is in the second house.\n3. Alice is not in the fourth house.\n4. The person who loves cooking is directly left of the person who enjoys knitting.\n5. The person who enjoys knitting is directly left of Bob.\n6. The person who paints as a hobby is Eric.\n7. Alice is not in the third house.\n\n\nChoices:\n0. Bob\n1. Eric\n2. Alice\n3. Arnold\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `black`, `brown`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a unique favorite drink: `tea`, `water`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n\n## Clues:\n1. Eric is the person who is an engineer.\n2. The person who has brown hair is the person who is a doctor.\n3. The person who is an engineer is directly left of the tea drinker.\n4. The one who only drinks water is the person who enjoys mountain retreats.\n\n\nChoices:\n0. brown\n1. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `tesla model 3`, `ford f150`, `toyota camry`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the first house.\n2. The person who owns a Tesla Model 3 is the person who is a teacher.\n3. The person who loves basketball is in the first house.\n4. The person partial to Pall Mall is the person who is a teacher.\n5. Arnold is in the second house.\n6. Arnold is somewhere to the right of the Prince smoker.\n7. The person who loves tennis is Arnold.\n8. The person who is an engineer is Arnold.\n9. Eric is the person partial to Pall Mall.\n\n\nChoices:\n0. pall mall\n1. prince\n2. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Alice`, `Eric`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `blends`, `pall mall`\n - People have unique favorite music genres: `rock`, `classical`, `hip hop`, `pop`, `jazz`\n - Each person has a unique birthday month: `feb`, `april`, `sept`, `jan`, `mar`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`, `biography`, `fantasy`\n\n## Clues:\n1. The person who loves pop music is the person who loves romance books.\n2. The person who loves fantasy books is in the second house.\n3. The person who smokes Blue Master is the person who loves science fiction books.\n4. The person who loves hip-hop music is the person whose birthday is in September.\n5. The person who loves biography books is Arnold.\n6. Alice is the person who loves science fiction books.\n7. The person who loves jazz music is somewhere to the left of Eric.\n8. The person who smokes Blue Master is the person whose birthday is in April.\n9. The person who smokes many unique blends is not in the third house.\n10. The Dunhill smoker is the person whose birthday is in February.\n11. The person who loves science fiction books is in the fifth house.\n12. The person who loves classical music is Bob.\n13. The person who loves pop music is Eric.\n14. The person who loves mystery books is the person partial to Pall Mall.\n15. Peter is the person whose birthday is in February.\n16. The person whose birthday is in March is the person who smokes many unique blends.\n17. The person who loves classical music is not in the first house.\n\n\nChoices:\n0. blends\n1. prince\n2. dunhill\n3. pall mall\n4. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `watermelon`\n\n## Clues:\n1. The Desert smoothie lover is the person who enjoys gardening.\n2. The photography enthusiast is the Swedish person.\n3. Peter is somewhere to the left of the Desert smoothie lover.\n4. The person who is a pizza lover is in the third house.\n5. The person who enjoys gardening is the Dane.\n6. There is one house between the person who loves eating grilled cheese and Arnold.\n7. Arnold is the Swedish person.\n8. The Watermelon smoothie lover is somewhere to the left of the person who likes Cherry smoothies.\n\n\nChoices:\n0. brit\n1. dane\n2. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people keep unique animals: `cat`, `horse`\n\n## Clues:\n1. Arnold is the person who keeps horses.\n2. Arnold is in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - People own unique car models: `tesla model 3`, `honda civic`, `toyota camry`, `ford f150`\n - Each person has a unique birthday month: `jan`, `april`, `sept`, `feb`\n - Each person has a unique hobby: `painting`, `cooking`, `gardening`, `photography`\n\n## Clues:\n1. The person whose birthday is in January is not in the second house.\n2. The photography enthusiast is somewhere to the left of Eric.\n3. The photography enthusiast is somewhere to the left of Peter.\n4. The person who owns a Honda Civic is directly left of the person who owns a Tesla Model 3.\n5. There is one house between the person who owns a Tesla Model 3 and the person who enjoys gardening.\n6. The person who owns a Tesla Model 3 is Arnold.\n7. The person whose birthday is in February is the person who loves cooking.\n8. The person who owns a Toyota Camry is Peter.\n9. The person whose birthday is in April is Arnold.\n10. Alice is the photography enthusiast.\n11. Peter is the person whose birthday is in January.\n\n\nChoices:\n0. sept\n1. jan\n2. april\n3. feb\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`\n\n## Clues:\n1. The person whose mother's name is Aniya is not in the first house.\n2. The person who smokes Blue Master is in the third house.\n3. Peter and the person partial to Pall Mall are next to each other.\n4. The person whose mother's name is Janelle is in the third house.\n5. The person with an aquarium of fish is somewhere to the left of the person who owns a dog.\n6. The person who has a cat is The person whose mother's name is Janelle.\n7. Peter is not in the third house.\n8. The person whose mother's name is Aniya is Arnold.\n\n\nChoices:\n0. pall mall\n1. prince\n2. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n - Each person has a unique hobby: `cooking`, `gardening`, `painting`, `photography`\n - Each person has a unique level of education: `master`, `associate`, `high school`, `bachelor`\n - Each person has a unique type of pet: `fish`, `bird`, `dog`, `cat`\n\n## Clues:\n1. The person who loves classical music is not in the fourth house.\n2. Arnold is the person with a master's degree.\n3. Alice is the person who owns a dog.\n4. The person who enjoys gardening is not in the third house.\n5. The person with a bachelor's degree is Alice.\n6. Alice is the photography enthusiast.\n7. Arnold is directly left of the person who loves pop music.\n8. The person with an associate's degree is directly left of the photography enthusiast.\n9. The person who loves rock music is the person who loves cooking.\n10. The person with an associate's degree is Eric.\n11. The person who has a cat is the person who loves jazz music.\n12. Arnold is somewhere to the right of the person with an aquarium of fish.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person partial to Pall Mall is Arnold.\n2. The Prince smoker is in the first house.\n3. The person partial to Pall Mall is the person who owns a Ford F-150.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique favorite drink: `water`, `tea`\n - Each person has a unique type of pet: `cat`, `dog`\n - The people are of nationalities: `dane`, `brit`\n\n## Clues:\n1. The British person is not in the second house.\n2. The one who only drinks water is not in the first house.\n3. The British person and Eric are next to each other.\n4. The person who has a cat is not in the first house.\n\n\nChoices:\n0. cat\n1. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Alice`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `doctor`, `artist`, `lawyer`, `teacher`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `lime`, `cherry`, `watermelon`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`, `Samantha`, `Timothy`\n\n## Clues:\n1. Arnold is somewhere to the right of the person who is a teacher.\n2. The person's child is named Bella is in the third house.\n3. The person who is the mother of Timothy is the person who is an artist.\n4. Alice is in the third house.\n5. The person who is a doctor is directly left of the person who is an engineer.\n6. The Desert smoothie lover is the person who is an engineer.\n7. The person's child is named Fred is the person who is a teacher.\n8. The person who is an engineer is not in the third house.\n9. Bob is the Dragonfruit smoothie lover.\n10. Peter is somewhere to the right of the person who is an engineer.\n11. The person's child is named Meredith is the person who drinks Lime smoothies.\n12. The person's child is named Meredith is in the first house.\n13. The person who likes Cherry smoothies is somewhere to the right of the Desert smoothie lover.\n\n\nChoices:\n0. watermelon\n1. cherry\n2. lime\n3. desert\n4. dragonfruit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - Each person has a unique hobby: `photography`, `painting`, `gardening`, `cooking`\n - Each person prefers a unique type of vacation: `cruise`, `beach`, `mountain`, `city`\n - People own unique car models: `tesla model 3`, `honda civic`, `ford f150`, `toyota camry`\n\n## Clues:\n1. The person who loves cooking is the person who owns a Ford F-150.\n2. The person who enjoys mountain retreats is the person who owns a Ford F-150.\n3. Arnold is the person who prefers city breaks.\n4. The person who enjoys mountain retreats is in the first house.\n5. The photography enthusiast is the person who loves beach vacations.\n6. The person who owns a Toyota Camry is Peter.\n7. The person who enjoys gardening is somewhere to the right of the person who owns a Honda Civic.\n8. Peter is the person who loves beach vacations.\n9. Alice is in the first house.\n10. There is one house between the person who owns a Honda Civic and Eric.\n\n\nChoices:\n0. tesla model 3\n1. toyota camry\n2. ford f150\n3. honda civic\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Bob`, `Alice`\n - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blends`, `pall mall`, `blue master`\n - Everyone has a favorite smoothie: `lime`, `cherry`, `dragonfruit`, `watermelon`, `desert`\n - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `iphone 13`, `huawei p50`, `google pixel 6`\n\n## Clues:\n1. The Prince smoker is the Desert smoothie lover.\n2. There is one house between Eric and Alice.\n3. The person who is short is the person who smokes many unique blends.\n4. The person who uses an iPhone 13 is directly left of the person who smokes Blue Master.\n5. The person who has an average height is the Dunhill smoker.\n6. Eric is the person who is very tall.\n7. Arnold is directly left of the person who uses a Huawei P50.\n8. Bob is not in the fourth house.\n9. Eric is directly left of the person who likes Cherry smoothies.\n10. Bob is the Dunhill smoker.\n11. The Dragonfruit smoothie lover is Bob.\n12. The person who uses an iPhone 13 and the person who uses a OnePlus 9 are next to each other.\n13. The person who uses a Samsung Galaxy S21 is the person who is short.\n14. There are two houses between the person who is very tall and the Dragonfruit smoothie lover.\n15. The person who uses an iPhone 13 is Eric.\n16. The Desert smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n17. Arnold and the person who is very short are next to each other.\n\n\nChoices:\n0. oneplus 9\n1. huawei p50\n2. google pixel 6\n3. iphone 13\n4. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `victorian`, `colonial`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is the person in a ranch-style home.\n2. Arnold is in the first house.\n3. The Prince smoker is the person living in a colonial-style house.\n4. Peter is the person residing in a Victorian house.\n5. The person who owns a dog is directly left of the person who has a cat.\n6. The person with an aquarium of fish is the person partial to Pall Mall.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Bob`, `Eric`, `Alice`, `Peter`\n - Each person has a unique hobby: `cooking`, `knitting`, `gardening`, `painting`, `photography`\n - Each person has a unique type of pet: `hamster`, `bird`, `dog`, `fish`, `cat`\n\n## Clues:\n1. The person with an aquarium of fish is the photography enthusiast.\n2. The photography enthusiast is not in the fourth house.\n3. Bob is the photography enthusiast.\n4. Peter is directly left of Bob.\n5. Alice is somewhere to the left of the person who enjoys gardening.\n6. The person with a pet hamster is Eric.\n7. Eric is not in the fourth house.\n8. The person who paints as a hobby and the photography enthusiast are next to each other.\n9. The photography enthusiast is somewhere to the left of the person who owns a dog.\n10. Alice is in the first house.\n11. Peter is somewhere to the right of the person who keeps a pet bird.\n12. Arnold is the person who enjoys knitting.\n\n\nChoices:\n0. painting\n1. photography\n2. cooking\n3. gardening\n4. knitting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`, `swimming`\n - People own unique car models: `tesla model 3`, `toyota camry`, `honda civic`, `ford f150`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves the rose bouquet.\n2. Peter is the Dragonfruit smoothie lover.\n3. The Desert smoothie lover is the person who owns a Toyota Camry.\n4. The person who loves tennis is in the first house.\n5. The person who owns a Toyota Camry and the person who loves basketball are next to each other.\n6. Arnold is the person who loves basketball.\n7. The person who owns a Honda Civic is the person who loves a bouquet of daffodils.\n8. Eric is the person who loves the rose bouquet.\n9. The Watermelon smoothie lover is not in the first house.\n10. The person who owns a Honda Civic is somewhere to the right of the Desert smoothie lover.\n11. The person who loves basketball is the person who loves the boquet of lilies.\n12. The person who loves tennis and the person who loves soccer are next to each other.\n\n\nChoices:\n0. lilies\n1. carnations\n2. roses\n3. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`, `modern`, `craftsman`\n - People use unique phone models: `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `huawei p50`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `pall mall`, `blends`, `prince`\n - People have unique favorite book genres: `mystery`, `science fiction`, `biography`, `romance`, `fantasy`\n\n## Clues:\n1. There is one house between the person residing in a Victorian house and the person who uses a Samsung Galaxy S21.\n2. The person who smokes many unique blends is Eric.\n3. The person who smokes many unique blends is the person who loves fantasy books.\n4. Alice is somewhere to the right of the person who uses a Samsung Galaxy S21.\n5. Bob is directly left of Eric.\n6. The person who loves mystery books is directly left of the person who loves fantasy books.\n7. Bob is somewhere to the left of the person who uses an iPhone 13.\n8. The person who uses a Google Pixel 6 is somewhere to the right of Peter.\n9. The person who loves romance books is directly left of the person in a ranch-style home.\n10. The person living in a colonial-style house is in the fourth house.\n11. The person who loves fantasy books is in the fourth house.\n12. The person partial to Pall Mall is Peter.\n13. The person in a modern-style house and the person who smokes Blue Master are next to each other.\n14. The person who loves science fiction books is the Dunhill smoker.\n15. Eric is the person who uses a Samsung Galaxy S21.\n16. The person who uses a Huawei P50 and the person who loves fantasy books are next to each other.\n\n\nChoices:\n0. prince\n1. blends\n2. dunhill\n3. pall mall\n4. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n - Each person lives in a unique style of house: `ranch`, `victorian`, `colonial`\n\n## Clues:\n1. The person who loves cooking is somewhere to the right of the person in a ranch-style home.\n2. There is one house between the person in a ranch-style home and the photography enthusiast.\n3. Arnold is the person who loves cooking.\n4. Peter is the person residing in a Victorian house.\n\n\nChoices:\n0. victorian\n1. colonial\n2. ranch\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`, `dunhill`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `basketball`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `craftsman`, `victorian`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`, `dragonfruit`\n\n## Clues:\n1. The Dunhill smoker is in the first house.\n2. The person who smokes Blue Master is the Watermelon smoothie lover.\n3. The person in a ranch-style home is the person who loves basketball.\n4. The person who loves soccer is in the second house.\n5. The Dunhill smoker is the person who likes Cherry smoothies.\n6. The person who loves swimming is somewhere to the right of the person who smokes Blue Master.\n7. The Dragonfruit smoothie lover is Alice.\n8. The Prince smoker is the Dragonfruit smoothie lover.\n9. The Watermelon smoothie lover is not in the second house.\n10. Arnold is the person who smokes Blue Master.\n11. The person who loves swimming is the person living in a colonial-style house.\n12. The person who loves swimming is Peter.\n13. The person in a Craftsman-style house is directly left of the person in a ranch-style home.\n\n\nChoices:\n0. swimming\n1. basketball\n2. soccer\n3. tennis\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person who owns a dog is in the first house.\n2. The person whose mother's name is Janelle is the person with an aquarium of fish.\n3. There is one house between Eric and The person whose mother's name is Holly.\n4. The person who loves mystery books is in the first house.\n5. The person who loves romance books is directly left of Peter.\n\n\nChoices:\n0. dog\n1. fish\n2. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite sports: `tennis`, `baseball`, `basketball`, `soccer`, `swimming`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`, `Timothy`, `Samantha`\n - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Penny`, `Janelle`, `Aniya`\n - The people keep unique animals: `horse`, `cat`, `dog`, `bird`, `fish`\n\n## Clues:\n1. The person whose mother's name is Penny is in the fourth house.\n2. Eric is The person whose mother's name is Penny.\n3. The person who keeps horses is the person who loves swimming.\n4. The person who loves baseball is the person's child is named Meredith.\n5. The dog owner is directly left of the person who loves basketball.\n6. The person who loves soccer is the bird keeper.\n7. The person who loves swimming is directly left of the person's child is named Fred.\n8. The person who loves tennis is The person whose mother's name is Kailyn.\n9. The person who is the mother of Timothy is The person whose mother's name is Aniya.\n10. Eric is somewhere to the right of the person's child is named Samantha.\n11. The person who loves basketball is Bob.\n12. The person who is the mother of Timothy is the fish enthusiast.\n13. The person's child is named Meredith is somewhere to the right of Peter.\n14. The person who loves basketball is somewhere to the left of the person who keeps horses.\n15. The bird keeper is Alice.\n16. The person whose mother's name is Holly is the bird keeper.\n17. Bob is not in the third house.\n\n\nChoices:\n0. Holly\n1. Penny\n2. Aniya\n3. Janelle\n4. Kailyn\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `bird`, `fish`, `dog`, `cat`\n - Each person has a unique favorite drink: `coffee`, `milk`, `root beer`, `water`, `tea`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `baseball`, `basketball`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `huawei p50`, `samsung galaxy s21`\n\n## Clues:\n1. The root beer lover is the person who owns a dog.\n2. The person who uses an iPhone 13 is the root beer lover.\n3. There is one house between the person who owns a dog and the person who uses a Google Pixel 6.\n4. Bob is somewhere to the right of the person who uses a OnePlus 9.\n5. Alice is not in the fourth house.\n6. Eric is in the fifth house.\n7. The person who likes milk is the person who uses a Samsung Galaxy S21.\n8. The person who loves baseball is the person who uses a Google Pixel 6.\n9. The coffee drinker is in the third house.\n10. Peter is the tea drinker.\n11. The person who loves basketball is the person who owns a dog.\n12. The person with a pet hamster is the person who loves tennis.\n13. There are two houses between Alice and the tea drinker.\n14. The person who loves soccer is the tea drinker.\n15. The person who keeps a pet bird is directly left of the person with an aquarium of fish.\n16. The person with an aquarium of fish is the person who likes milk.\n\n\nChoices:\n0. hamster\n1. fish\n2. cat\n3. bird\n4. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - The people keep unique animals: `fish`, `cat`, `horse`, `bird`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `dunhill`, `prince`\n - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`\n - People have unique favorite music genres: `classical`, `jazz`, `rock`, `pop`\n\n## Clues:\n1. The Dunhill smoker is Eric.\n2. Eric is the cat lover.\n3. The person who loves the boquet of lilies is the person who loves pop music.\n4. The person partial to Pall Mall is the fish enthusiast.\n5. The person who smokes Blue Master is the person who keeps horses.\n6. Arnold is not in the third house.\n7. The person who loves rock music is somewhere to the left of the person who loves a carnations arrangement.\n8. The person who loves classical music is somewhere to the left of the fish enthusiast.\n9. The person who loves rock music is Peter.\n10. The person who loves jazz music is the person who smokes Blue Master.\n11. The person who loves a bouquet of daffodils is in the fourth house.\n\n\nChoices:\n0. horse\n1. cat\n2. bird\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - Each person has a unique level of education: `master`, `bachelor`, `doctorate`, `high school`, `associate`\n - Each person has a favorite color: `yellow`, `green`, `blue`, `red`, `white`\n - Each person prefers a unique type of vacation: `mountain`, `camping`, `cruise`, `beach`, `city`\n - People use unique phone models: `huawei p50`, `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`\n\n## Clues:\n1. Alice is the person with a master's degree.\n2. The person who uses a OnePlus 9 is the person with a doctorate.\n3. The person who loves blue is somewhere to the left of Bob.\n4. The person who prefers city breaks is Peter.\n5. The person who loves beach vacations is the person whose favorite color is green.\n6. The person who loves white is the person who uses an iPhone 13.\n7. The person who uses a OnePlus 9 is the person who enjoys mountain retreats.\n8. The person who uses a Huawei P50 is somewhere to the left of the person whose favorite color is red.\n9. The person who loves beach vacations is not in the first house.\n10. Alice is in the fourth house.\n11. Eric and Peter are next to each other.\n12. Alice is the person whose favorite color is red.\n13. There is one house between Peter and the person who uses a OnePlus 9.\n14. The person with a bachelor's degree is the person who uses a Samsung Galaxy S21.\n15. The person who enjoys camping trips is the person who loves blue.\n16. The person who loves beach vacations is the person with a high school diploma.\n\n\nChoices:\n0. yellow\n1. green\n2. red\n3. blue\n4. white\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - People have unique favorite music genres: `pop`, `rock`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. Arnold is the person who loves pop music.\n2. The person who loves rock music is the person whose birthday is in April.\n3. The person living in a colonial-style house is the person whose birthday is in September.\n4. The person who loves pop music is directly left of the person who loves rock music.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`\n\n## Clues:\n1. The person who is a pizza lover is Eric.\n2. The person with a bachelor's degree is directly left of the Swedish person.\n3. The person who is a pizza lover is in the first house.\n4. The person with a bachelor's degree is the person who loves eating grilled cheese.\n5. The person living in a colonial-style house and the person who loves eating grilled cheese are next to each other.\n6. Arnold is the person who loves eating grilled cheese.\n7. The British person is the person with a high school diploma.\n8. The person with a bachelor's degree is directly left of the person residing in a Victorian house.\n\n\nChoices:\n0. brit\n1. dane\n2. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. The person partial to Pall Mall is Arnold.\n2. Arnold is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - The people keep unique animals: `bird`, `cat`, `horse`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n - Each person has a unique favorite drink: `tea`, `water`, `milk`\n - Each person has an occupation: `teacher`, `engineer`, `doctor`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. The person who is a doctor is Eric.\n3. Eric is the person who loves eating grilled cheese.\n4. The person who loves eating grilled cheese is the one who only drinks water.\n5. The person who keeps horses is the person who likes milk.\n6. The one who only drinks water is the bird keeper.\n7. The person who is a pizza lover is Arnold.\n8. Peter is in the third house.\n9. Arnold is the tea drinker.\n10. The person who is a teacher is not in the third house.\n\n\nChoices:\n0. cat\n1. bird\n2. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has a unique type of pet: `bird`, `cat`, `dog`, `fish`\n - People use unique phone models: `iphone 13`, `google pixel 6`, `oneplus 9`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses a Google Pixel 6 is directly left of the person who has a cat.\n2. Peter is the person who owns a dog.\n3. The person who uses a OnePlus 9 is the person who has a cat.\n4. The person who uses an iPhone 13 is Peter.\n5. There are two houses between the person who uses a Google Pixel 6 and Alice.\n6. The person who keeps a pet bird is somewhere to the left of Eric.\n\n\nChoices:\n0. cat\n1. bird\n2. dog\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Arnold`, `Alice`\n - The people keep unique animals: `dog`, `fish`, `bird`, `horse`, `cat`\n - The people are of nationalities: `dane`, `swede`, `brit`, `german`, `norwegian`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Samantha`, `Fred`\n - Each person has a unique type of pet: `bird`, `fish`, `hamster`, `cat`, `dog`\n\n## Clues:\n1. The dog owner is not in the third house.\n2. The person who keeps a pet bird is in the fourth house.\n3. The German is Eric.\n4. Bob is somewhere to the left of the person's child is named Fred.\n5. The person with a pet hamster is Arnold.\n6. The British person is the dog owner.\n7. The person's child is named Meredith is not in the third house.\n8. The fish enthusiast is the person's child is named Samantha.\n9. The person who is the mother of Timothy is the German.\n10. The person who has a cat is in the fifth house.\n11. Peter is not in the fourth house.\n12. The Swedish person and the person's child is named Samantha are next to each other.\n13. The Swedish person is Peter.\n14. The Dane is in the second house.\n15. Eric and the cat lover are next to each other.\n16. The German is in the first house.\n17. The person with an aquarium of fish is somewhere to the right of the bird keeper.\n\n\nChoices:\n0. Fred\n1. Timothy\n2. Samantha\n3. Meredith\n4. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`\n\n## Clues:\n1. The person who is a pizza lover is Eric.\n2. The person with a bachelor's degree is directly left of the Swedish person.\n3. The person who is a pizza lover is in the first house.\n4. The person with a bachelor's degree is the person who loves eating grilled cheese.\n5. The person living in a colonial-style house and the person who loves eating grilled cheese are next to each other.\n6. Arnold is the person who loves eating grilled cheese.\n7. The British person is the person with a high school diploma.\n8. The person with a bachelor's degree is directly left of the person residing in a Victorian house.\n\n\nChoices:\n0. victorian\n1. ranch\n2. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. Arnold is somewhere to the right of the person who loves beach vacations.\n\n\nChoices:\n0. beach\n1. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`\n - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`, `swimming`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `cruise`, `city`\n\n## Clues:\n1. The person who loves beach vacations is the person who loves soccer.\n2. The person who likes going on cruises and Arnold are next to each other.\n3. Eric is the person who owns a Toyota Camry.\n4. The person who owns a Toyota Camry is the person who loves swimming.\n5. The person who loves beach vacations is in the fourth house.\n6. The person who loves jazz music is somewhere to the right of the person who loves rock music.\n7. The person who owns a Toyota Camry is the person who loves pop music.\n8. The person who prefers city breaks is the person who loves jazz music.\n9. The person who loves basketball is directly left of the person who owns a Tesla Model 3.\n10. The person who likes going on cruises is somewhere to the left of the person who owns a Ford F-150.\n11. The person who loves jazz music is directly left of the person who enjoys mountain retreats.\n12. Peter is somewhere to the right of the person who loves rock music.\n\n\nChoices:\n0. classical\n1. rock\n2. jazz\n3. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - The people keep unique animals: `fish`, `cat`, `bird`, `horse`, `dog`\n - Each person has a unique level of education: `doctorate`, `associate`, `bachelor`, `master`, `high school`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`, `tulips`\n\n## Clues:\n1. The person with an associate's degree is not in the first house.\n2. Arnold is directly left of Alice.\n3. The bird keeper is somewhere to the right of Peter.\n4. Eric is in the second house.\n5. The fish enthusiast is the person who loves the boquet of lilies.\n6. The fish enthusiast is somewhere to the left of the person with a master's degree.\n7. The person with a high school diploma is directly left of the person who loves the vase of tulips.\n8. The person with a bachelor's degree is not in the fifth house.\n9. The person who keeps horses is somewhere to the left of the person with a high school diploma.\n10. The person with a bachelor's degree is the bird keeper.\n11. The dog owner is the person who loves the rose bouquet.\n12. The person who loves a carnations arrangement is in the third house.\n13. The person with an associate's degree is not in the second house.\n14. Peter is in the third house.\n\n\nChoices:\n0. daffodils\n1. carnations\n2. tulips\n3. roses\n4. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n\n## Clues:\n1. The one who only drinks water is in the first house.\n2. The person who loves tennis is Peter.\n3. The person who loves a bouquet of daffodils is The person whose mother's name is Aniya.\n4. The person who loves soccer is Arnold.\n5. Arnold is directly left of The person whose mother's name is Janelle.\n6. The person who loves basketball is not in the third house.\n7. The person whose mother's name is Janelle is the person who likes milk.\n8. The person whose mother's name is Aniya is in the second house.\n9. There is one house between the person who loves a carnations arrangement and the person who loves tennis.\n\n\nChoices:\n0. Holly\n1. Janelle\n2. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - The people keep unique animals: `cat`, `bird`, `horse`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - The people are of nationalities: `swede`, `dane`, `brit`\n\n## Clues:\n1. The person who likes milk is not in the first house.\n2. The person who keeps horses is somewhere to the left of Eric.\n3. The person who loves basketball is Peter.\n4. The Swedish person is somewhere to the left of the one who only drinks water.\n5. The person who loves tennis is the tea drinker.\n6. The person who loves soccer is the bird keeper.\n7. The cat lover is the British person.\n8. Peter is not in the third house.\n9. The person who likes milk is the person who loves soccer.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `coffee`, `milk`\n - Each person has a unique level of education: `master`, `associate`, `high school`, `bachelor`\n - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`\n - Each person has a favorite color: `yellow`, `white`, `green`, `red`\n\n## Clues:\n1. Eric is the person with an associate's degree.\n2. The person whose mother's name is Kailyn is the person who loves yellow.\n3. The person who likes milk is in the third house.\n4. The person who likes milk is somewhere to the right of the person who loves white.\n5. The person with a bachelor's degree is in the first house.\n6. The person whose mother's name is Aniya is not in the second house.\n7. The one who only drinks water is Arnold.\n8. The person whose favorite color is green is Peter.\n9. The person whose favorite color is red is somewhere to the left of the person who loves white.\n10. The person with a high school diploma is directly left of The person whose mother's name is Janelle.\n11. The person with a high school diploma is the tea drinker.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is directly left of Arnold.\n2. The person who uses a Google Pixel 6 is the one who only drinks water.\n3. The person who likes milk is the person who is an engineer.\n4. Eric is the person who likes milk.\n5. The person who is a teacher is directly left of the tea drinker.\n\n\nChoices:\n0. doctor\n1. engineer\n2. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique hair colors: `brown`, `black`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n\n## Clues:\n1. The Prince smoker is directly left of the person with a high school diploma.\n2. The Prince smoker and Arnold are next to each other.\n3. The person whose favorite color is red is Arnold.\n4. The person who has black hair is the Prince smoker.\n\n\nChoices:\n0. yellow\n1. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - People have unique heights: `average`, `tall`, `very short`, `short`\n - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `iphone 13`\n - The mothers' names in different houses are unique: `Kailyn`, `Janelle`, `Holly`, `Aniya`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is The person whose mother's name is Holly.\n2. The person who is tall is directly left of the person who uses a Samsung Galaxy S21.\n3. Alice is the person who uses a Google Pixel 6.\n4. The person who uses a OnePlus 9 is in the fourth house.\n5. The person whose mother's name is Janelle is not in the third house.\n6. The person whose mother's name is Janelle is somewhere to the left of Eric.\n7. The person whose mother's name is Aniya is somewhere to the left of Alice.\n8. Eric is the person who is very short.\n9. Peter is somewhere to the left of The person whose mother's name is Kailyn.\n10. The person whose mother's name is Holly and the person who has an average height are next to each other.\n\n\nChoices:\n0. google pixel 6\n1. oneplus 9\n2. samsung galaxy s21\n3. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Bob`, `Eric`\n - The people are of nationalities: `swede`, `norwegian`, `brit`, `german`, `dane`\n - Everyone has something unique for lunch: `stew`, `grilled cheese`, `stir fry`, `pizza`, `spaghetti`\n - Everyone has a favorite smoothie: `desert`, `lime`, `watermelon`, `cherry`, `dragonfruit`\n\n## Clues:\n1. Alice is the person who likes Cherry smoothies.\n2. The person who drinks Lime smoothies is the person who loves eating grilled cheese.\n3. The Dragonfruit smoothie lover is somewhere to the right of the person who loves the stew.\n4. The German is Bob.\n5. The person who loves stir fry is somewhere to the right of Eric.\n6. Arnold is directly left of the Dane.\n7. The person who loves the spaghetti eater is the Norwegian.\n8. Bob is somewhere to the left of the person who drinks Lime smoothies.\n9. The Desert smoothie lover is the person who is a pizza lover.\n10. The German is somewhere to the right of the Norwegian.\n11. The Swedish person is the person who is a pizza lover.\n12. There is one house between the person who loves eating grilled cheese and Peter.\n\n\nChoices:\n0. norwegian\n1. swede\n2. brit\n3. german\n4. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`\n - People have unique favorite music genres: `rock`, `pop`, `classical`, `jazz`, `hip hop`\n - People have unique hair colors: `gray`, `black`, `red`, `blonde`, `brown`\n - The people are of nationalities: `norwegian`, `german`, `dane`, `brit`, `swede`\n\n## Clues:\n1. The German is somewhere to the left of the person who loves rock music.\n2. There are two houses between Alice and the British person.\n3. The person who loves jazz music is the person who has gray hair.\n4. There are two houses between the person who has black hair and Peter.\n5. The Swedish person is the person who has red hair.\n6. The person who loves pop music is somewhere to the left of Peter.\n7. The person who has gray hair is the German.\n8. Eric is the person who loves rock music.\n9. Arnold is in the second house.\n10. The person who has blonde hair is in the third house.\n11. Alice is the Dane.\n12. The person who loves classical music is somewhere to the left of the German.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n3. Bob\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique favorite drink: `milk`, `root beer`, `coffee`, `tea`, `water`\n - Each person has a favorite color: `blue`, `green`, `white`, `yellow`, `red`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `tulips`, `carnations`\n - Each person has a unique hobby: `painting`, `cooking`, `photography`, `gardening`, `knitting`\n\n## Clues:\n1. Alice is not in the fourth house.\n2. The root beer lover is the person who enjoys gardening.\n3. The person whose favorite color is green is the coffee drinker.\n4. The person whose favorite color is green is the person who loves the boquet of lilies.\n5. The person who loves blue is somewhere to the right of the person who loves a bouquet of daffodils.\n6. The person who loves cooking is the person who loves blue.\n7. Eric is directly left of the tea drinker.\n8. The one who only drinks water is Peter.\n9. Arnold is the photography enthusiast.\n10. The person who loves white is the person who loves the rose bouquet.\n11. There is one house between the person who loves a carnations arrangement and the person whose favorite color is red.\n12. The person who loves cooking is somewhere to the left of the person who paints as a hobby.\n13. The one who only drinks water is in the third house.\n14. The person who loves a carnations arrangement is the root beer lover.\n15. The person who loves white is in the second house.\n\n\nChoices:\n0. white\n1. yellow\n2. red\n3. green\n4. blue\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n\n## Clues:\n1. Arnold is not in the first house.\n2. The person who likes milk is Eric.\n3. The photography enthusiast is not in the first house.\n4. The person who loves cooking is directly left of the person who likes milk.\n5. The one who only drinks water is Arnold.\n6. The person who likes milk is not in the second house.\n\n\nChoices:\n0. photography\n1. gardening\n2. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Arnold`, `Peter`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Fred`, `Samantha`\n - They all have a unique favorite flower: `tulips`, `roses`, `lilies`, `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is not in the first house.\n2. The person's child is named Fred is Bob.\n3. The person's child is named Fred is not in the second house.\n4. The person's child is named Fred is somewhere to the left of the person who loves a carnations arrangement.\n5. Peter is not in the first house.\n6. The person's child is named Fred and the person who loves the boquet of lilies are next to each other.\n7. Arnold is the person who is the mother of Timothy.\n8. The person's child is named Bella is somewhere to the right of Eric.\n9. The person who is the mother of Timothy is not in the first house.\n10. Eric is the person who loves the boquet of lilies.\n11. There is one house between the person's child is named Meredith and the person's child is named Fred.\n12. The person who loves the vase of tulips is in the second house.\n\n\nChoices:\n0. carnations\n1. lilies\n2. tulips\n3. daffodils\n4. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. The person who loves basketball is somewhere to the left of the cat lover.\n2. The person who loves mystery books is somewhere to the left of Arnold.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Alice`, `Arnold`, `Peter`\n - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `photography`, `cooking`\n - People have unique favorite music genres: `classical`, `rock`, `hip hop`, `pop`, `jazz`\n\n## Clues:\n1. The person who loves pop music is somewhere to the left of the person who loves jazz music.\n2. There is one house between the person who enjoys knitting and Alice.\n3. Alice is somewhere to the right of Eric.\n4. The person who loves jazz music is not in the second house.\n5. There is one house between Bob and Alice.\n6. Eric is somewhere to the left of the photography enthusiast.\n7. There is one house between Eric and the person who loves classical music.\n8. The person who loves rock music is the person who enjoys gardening.\n9. The person who paints as a hobby is the person who loves hip-hop music.\n10. Arnold and the person who loves hip-hop music are next to each other.\n11. The person who enjoys knitting is the person who loves jazz music.\n12. The person who enjoys knitting is not in the fifth house.\n13. The person who paints as a hobby is not in the second house.\n14. The person who loves pop music is not in the second house.\n\n\nChoices:\n0. painting\n1. knitting\n2. photography\n3. cooking\n4. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. The person who uses an iPhone 13 is directly left of the person whose favorite color is red.\n3. Eric is the person who loves a carnations arrangement.\n\n\nChoices:\n0. yellow\n1. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - The people keep unique animals: `cat`, `horse`, `bird`\n\n## Clues:\n1. The Prince smoker is The person whose mother's name is Janelle.\n2. The person's child is named Bella is somewhere to the left of the person's child is named Meredith.\n3. Peter is the person partial to Pall Mall.\n4. There is one house between the cat lover and Eric.\n5. The person whose mother's name is Aniya is the person's child is named Bella.\n6. The person's child is named Meredith is Peter.\n7. The bird keeper is somewhere to the right of Peter.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Bob`, `Eric`\n - People have unique heights: `very tall`, `average`, `tall`, `very short`, `short`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `cruise`, `city`, `camping`\n - Each person has a unique level of education: `master`, `doctorate`, `associate`, `high school`, `bachelor`\n\n## Clues:\n1. The person who is very tall is directly left of the person with an associate's degree.\n2. The person who has an average height and the person who enjoys mountain retreats are next to each other.\n3. Eric is the person who is short.\n4. The person who prefers city breaks is in the fourth house.\n5. The person who loves beach vacations is the person who is very tall.\n6. The person with a master's degree is Bob.\n7. The person who enjoys camping trips is not in the third house.\n8. The person who has an average height is not in the second house.\n9. The person with a doctorate is directly left of Alice.\n10. The person with a master's degree is the person who enjoys camping trips.\n11. The person who enjoys camping trips is not in the first house.\n12. The person with a doctorate is the person who is tall.\n13. The person with a high school diploma is somewhere to the right of the person who has an average height.\n14. Arnold is the person with a doctorate.\n\n\nChoices:\n0. high school\n1. master\n2. doctorate\n3. bachelor\n4. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - The people keep unique animals: `cat`, `horse`, `bird`\n\n## Clues:\n1. The Prince smoker is The person whose mother's name is Janelle.\n2. The person's child is named Bella is somewhere to the left of the person's child is named Meredith.\n3. Peter is the person partial to Pall Mall.\n4. There is one house between the cat lover and Eric.\n5. The person whose mother's name is Aniya is the person's child is named Bella.\n6. The person's child is named Meredith is Peter.\n7. The bird keeper is somewhere to the right of Peter.\n\n\nChoices:\n0. Fred\n1. Meredith\n2. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`\n\n## Clues:\n1. Eric is the person who loves cooking.\n2. The person who loves romance books and Arnold are next to each other.\n3. The person who loves romance books is directly left of the person who loves science fiction books.\n4. The person who loves romance books is the photography enthusiast.\n5. The person who loves science fiction books is in the second house.\n\n\nChoices:\n0. science fiction\n1. mystery\n2. romance\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - Each person has a unique favorite drink: `tea`, `coffee`, `milk`, `water`\n - The people are of nationalities: `brit`, `swede`, `dane`, `norwegian`\n\n## Clues:\n1. The person who prefers city breaks is the Swedish person.\n2. The person who likes going on cruises is directly left of the person who loves beach vacations.\n3. Arnold is in the second house.\n4. Arnold is the person who likes milk.\n5. The person who prefers city breaks is not in the fourth house.\n6. The coffee drinker is the Norwegian.\n7. The person who loves beach vacations and Peter are next to each other.\n8. Eric is the one who only drinks water.\n9. The person who loves beach vacations is directly left of the Dane.\n\n\nChoices:\n0. Peter\n1. Alice\n2. Arnold\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n\n## Clues:\n1. Arnold is not in the first house.\n2. The person who likes milk is Eric.\n3. The photography enthusiast is not in the first house.\n4. The person who loves cooking is directly left of the person who likes milk.\n5. The one who only drinks water is Arnold.\n6. The person who likes milk is not in the second house.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. Eric is the person who uses a Samsung Galaxy S21.\n2. The person who loves yellow is the person who uses an iPhone 13.\n3. The person who loves yellow is directly left of the person who is a doctor.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`, `Samantha`\n - People have unique hair colors: `red`, `brown`, `black`, `blonde`\n - They all have a unique favorite flower: `carnations`, `roses`, `daffodils`, `lilies`\n - The people keep unique animals: `cat`, `bird`, `fish`, `horse`\n\n## Clues:\n1. Alice is somewhere to the right of the person who has red hair.\n2. The person who loves a bouquet of daffodils is directly left of Arnold.\n3. The fish enthusiast is the person's child is named Samantha.\n4. Alice is directly left of the bird keeper.\n5. The cat lover is the person who loves the rose bouquet.\n6. The person who loves a carnations arrangement is somewhere to the right of the person who has brown hair.\n7. The person who loves a bouquet of daffodils is directly left of the bird keeper.\n8. Eric is the person's child is named Meredith.\n9. There are two houses between the person who has red hair and the person who has black hair.\n10. Eric is in the fourth house.\n11. The person's child is named Bella is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. Meredith\n1. Fred\n2. Samantha\n3. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - Each person has a favorite color: `yellow`, `green`, `red`, `white`\n\n## Clues:\n1. The person whose favorite color is green is in the third house.\n2. Peter is in the first house.\n3. There is one house between the person whose favorite color is red and the person who loves yellow.\n4. Arnold is directly left of Eric.\n5. Eric is the person who loves yellow.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `tesla model 3`, `ford f150`, `toyota camry`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the first house.\n2. The person who owns a Tesla Model 3 is the person who is a teacher.\n3. The person who loves basketball is in the first house.\n4. The person partial to Pall Mall is the person who is a teacher.\n5. Arnold is in the second house.\n6. Arnold is somewhere to the right of the Prince smoker.\n7. The person who loves tennis is Arnold.\n8. The person who is an engineer is Arnold.\n9. Eric is the person partial to Pall Mall.\n\n\nChoices:\n0. ford f150\n1. toyota camry\n2. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique favorite drink: `water`, `tea`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n\n## Clues:\n1. Eric is somewhere to the right of the person partial to Pall Mall.\n2. The tea drinker is not in the second house.\n\n\nChoices:\n0. tea\n1. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - Each person has a unique birthday month: `mar`, `feb`, `jan`, `sept`, `april`\n - They all have a unique favorite flower: `tulips`, `lilies`, `carnations`, `daffodils`, `roses`\n - Each person has a unique level of education: `high school`, `bachelor`, `doctorate`, `associate`, `master`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `dragonfruit`, `lime`\n\n## Clues:\n1. There is one house between the Desert smoothie lover and the person whose birthday is in April.\n2. The person with a bachelor's degree is Peter.\n3. The person who loves a bouquet of daffodils is the person with a high school diploma.\n4. Eric is not in the second house.\n5. The person who drinks Lime smoothies and the person who loves the rose bouquet are next to each other.\n6. Alice is in the third house.\n7. The person whose birthday is in February is Peter.\n8. The person with a master's degree is the person whose birthday is in March.\n9. The person whose birthday is in February is in the fourth house.\n10. The person whose birthday is in March is the person who drinks Lime smoothies.\n11. Peter is the Dragonfruit smoothie lover.\n12. The person with an associate's degree is not in the second house.\n13. The person who loves a carnations arrangement is not in the second house.\n14. The Watermelon smoothie lover is Arnold.\n15. Alice is the person whose birthday is in September.\n16. The person who loves the boquet of lilies is not in the second house.\n17. The person with an associate's degree is Arnold.\n18. The person who loves the vase of tulips is Peter.\n19. The person who loves the boquet of lilies is not in the first house.\n\n\nChoices:\n0. doctorate\n1. master\n2. associate\n3. bachelor\n4. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - Each person has a unique favorite drink: `tea`, `coffee`, `milk`, `water`\n - The people are of nationalities: `brit`, `swede`, `dane`, `norwegian`\n\n## Clues:\n1. The person who prefers city breaks is the Swedish person.\n2. The person who likes going on cruises is directly left of the person who loves beach vacations.\n3. Arnold is in the second house.\n4. Arnold is the person who likes milk.\n5. The person who prefers city breaks is not in the fourth house.\n6. The coffee drinker is the Norwegian.\n7. The person who loves beach vacations and Peter are next to each other.\n8. Eric is the one who only drinks water.\n9. The person who loves beach vacations is directly left of the Dane.\n\n\nChoices:\n0. coffee\n1. water\n2. milk\n3. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite music genres: `classical`, `pop`, `rock`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n\n## Clues:\n1. The person's child is named Fred is somewhere to the right of the person who loves classical music.\n2. Eric and Peter are next to each other.\n3. The person's child is named Meredith is the person who loves rock music.\n4. The person who loves rock music is Eric.\n5. The person's child is named Bella is in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - Each person has a unique level of education: `master`, `bachelor`, `doctorate`, `high school`, `associate`\n - Each person has a favorite color: `yellow`, `green`, `blue`, `red`, `white`\n - Each person prefers a unique type of vacation: `mountain`, `camping`, `cruise`, `beach`, `city`\n - People use unique phone models: `huawei p50`, `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`\n\n## Clues:\n1. Alice is the person with a master's degree.\n2. The person who uses a OnePlus 9 is the person with a doctorate.\n3. The person who loves blue is somewhere to the left of Bob.\n4. The person who prefers city breaks is Peter.\n5. The person who loves beach vacations is the person whose favorite color is green.\n6. The person who loves white is the person who uses an iPhone 13.\n7. The person who uses a OnePlus 9 is the person who enjoys mountain retreats.\n8. The person who uses a Huawei P50 is somewhere to the left of the person whose favorite color is red.\n9. The person who loves beach vacations is not in the first house.\n10. Alice is in the fourth house.\n11. Eric and Peter are next to each other.\n12. Alice is the person whose favorite color is red.\n13. There is one house between Peter and the person who uses a OnePlus 9.\n14. The person with a bachelor's degree is the person who uses a Samsung Galaxy S21.\n15. The person who enjoys camping trips is the person who loves blue.\n16. The person who loves beach vacations is the person with a high school diploma.\n\n\nChoices:\n0. beach\n1. camping\n2. city\n3. cruise\n4. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n\n## Clues:\n1. The person's child is named Fred is Arnold.\n2. Eric is in the second house.\n\n\nChoices:\n0. Bella\n1. Fred\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`, `Bob`\n - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`\n - The people are of nationalities: `norwegian`, `dane`, `swede`, `german`, `brit`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `roses`, `carnations`, `tulips`\n\n## Clues:\n1. There is one house between the person who loves the rose bouquet and the person who is an artist.\n2. The person who is an engineer is in the second house.\n3. The Swedish person is the person who is an artist.\n4. The Dane is somewhere to the right of Bob.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The Dane is the person who is a doctor.\n7. The person who loves the boquet of lilies is not in the fourth house.\n8. The person who loves the rose bouquet is Peter.\n9. The person who is an engineer is somewhere to the left of the person who is a teacher.\n10. The Norwegian is in the third house.\n11. Arnold is the British person.\n12. The person who loves a carnations arrangement is the Dane.\n13. Alice is the Norwegian.\n\n\nChoices:\n0. Arnold\n1. Bob\n2. Eric\n3. Alice\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - Each person has a unique birthday month: `sept`, `feb`, `april`, `jan`\n - People have unique favorite book genres: `romance`, `fantasy`, `mystery`, `science fiction`\n - They all have a unique favorite flower: `roses`, `daffodils`, `lilies`, `carnations`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`\n\n## Clues:\n1. There are two houses between the person who loves fantasy books and the person whose birthday is in April.\n2. The person whose birthday is in February is directly left of the person who loves a bouquet of daffodils.\n3. The person who likes going on cruises is the person who loves a carnations arrangement.\n4. The person whose birthday is in September is directly left of the person who loves science fiction books.\n5. The person who loves a bouquet of daffodils is the person who prefers city breaks.\n6. The person whose birthday is in April is Arnold.\n7. The person whose birthday is in February is the person who loves a carnations arrangement.\n8. Alice is the person who likes going on cruises.\n9. The person who loves the boquet of lilies is the person who enjoys mountain retreats.\n10. Eric is not in the third house.\n11. The person who loves science fiction books is the person who loves the boquet of lilies.\n12. The person who loves mystery books is Eric.\n13. Eric and the person whose birthday is in January are next to each other.\n\n\nChoices:\n0. beach\n1. mountain\n2. cruise\n3. city\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a favorite color: `red`, `yellow`, `green`, `white`\n - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Kailyn`, `Aniya`\n\n## Clues:\n1. The person who loves yellow is not in the second house.\n2. Alice is not in the second house.\n3. The person who loves white is Peter.\n4. Alice is the person whose favorite color is green.\n5. Peter is in the first house.\n6. Arnold is in the fourth house.\n7. The person whose mother's name is Aniya is not in the second house.\n8. The person who loves yellow is The person whose mother's name is Holly.\n9. The person whose mother's name is Janelle is the person who loves white.\n\n\nChoices:\n0. Holly\n1. Aniya\n2. Janelle\n3. Kailyn\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `black`, `brown`\n - People have unique favorite sports: `soccer`, `basketball`\n - Each person has an occupation: `doctor`, `engineer`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. The person who loves basketball is not in the first house.\n2. The person who is an engineer is the person whose birthday is in September.\n3. Arnold is the person who is an engineer.\n4. The person who has brown hair is somewhere to the left of the person whose birthday is in September.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - They all have a unique favorite flower: `roses`, `daffodils`, `carnations`, `lilies`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. Eric is the person who loves romance books.\n3. The person who loves a carnations arrangement is in the first house.\n4. The person who loves a bouquet of daffodils is the person who loves science fiction books.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who enjoys mountain retreats is the person who loves mystery books.\n7. The person who loves science fiction books is Peter.\n8. The person who prefers city breaks is in the second house.\n9. The person who prefers city breaks and the person who loves classical music are next to each other.\n10. The person who loves beach vacations is not in the first house.\n11. The person who loves romance books is the person who loves pop music.\n12. The person who loves romance books is somewhere to the left of Alice.\n13. The person who loves the boquet of lilies is the person who loves mystery books.\n14. Peter is somewhere to the left of Alice.\n\n\nChoices:\n0. fantasy\n1. mystery\n2. romance\n3. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - They all have a unique favorite flower: `carnations`, `lilies`, `daffodils`\n - The people are of nationalities: `dane`, `swede`, `brit`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n\n## Clues:\n1. Eric is somewhere to the left of Arnold.\n2. The Watermelon smoothie lover is the person who loves a carnations arrangement.\n3. The person who loves the boquet of lilies is directly left of the British person.\n4. Arnold is the person who likes Cherry smoothies.\n5. Peter is directly left of the person who likes Cherry smoothies.\n6. Eric and the Swedish person are next to each other.\n\n\nChoices:\n0. daffodils\n1. carnations\n2. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `high school`, `associate`\n - Each person has a unique favorite drink: `tea`, `water`\n\n## Clues:\n1. The tea drinker is not in the first house.\n2. Eric is the person with a high school diploma.\n3. Eric is not in the second house.\n\n\nChoices:\n0. water\n1. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Arnold`, `Eric`, `Alice`\n - Each person has a favorite color: `red`, `white`, `green`, `blue`, `yellow`\n - Each person has a unique hobby: `gardening`, `cooking`, `painting`, `photography`, `knitting`\n - People have unique heights: `very tall`, `tall`, `average`, `short`, `very short`\n - People have unique hair colors: `black`, `blonde`, `brown`, `gray`, `red`\n\n## Clues:\n1. The person whose favorite color is green is somewhere to the right of the person who has black hair.\n2. The person who has an average height is somewhere to the right of the person who loves blue.\n3. The person who has red hair is Alice.\n4. The person who loves cooking is not in the first house.\n5. The person who loves yellow is the person who has gray hair.\n6. The person who is short is somewhere to the left of the person who loves yellow.\n7. The person who enjoys gardening is the person who loves white.\n8. Arnold is somewhere to the left of the person who has black hair.\n9. The person who is short is somewhere to the right of the person who has blonde hair.\n10. Eric and the person who loves cooking are next to each other.\n11. The person who has black hair is directly left of the person who loves blue.\n12. The person who is very short is the person who has black hair.\n13. Bob is the person who loves blue.\n14. The person who is tall is directly left of the photography enthusiast.\n15. The person who loves white is not in the first house.\n16. The person who loves yellow is the person who enjoys knitting.\n17. The person who loves blue is the person who has blonde hair.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Bob\n3. Peter\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Kailyn`, `Holly`\n - Each person has a unique level of education: `master`, `high school`, `bachelor`, `associate`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. The person with a master's degree is somewhere to the left of The person whose mother's name is Aniya.\n3. Alice is not in the second house.\n4. The person with a high school diploma is the person who loves classical music.\n5. The person with a master's degree is in the third house.\n6. The person whose mother's name is Janelle is Eric.\n7. The person with a master's degree is Arnold.\n8. The person whose mother's name is Holly is in the second house.\n9. Peter is the person with a high school diploma.\n10. The person with an associate's degree is the person who loves rock music.\n\n\nChoices:\n0. associate\n1. bachelor\n2. master\n3. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`, `Bob`\n - Each person has a unique hobby: `painting`, `cooking`, `knitting`, `gardening`, `photography`\n - People have unique heights: `very tall`, `tall`, `very short`, `average`, `short`\n - Everyone has something unique for lunch: `stew`, `grilled cheese`, `stir fry`, `spaghetti`, `pizza`\n\n## Clues:\n1. Bob is the photography enthusiast.\n2. The person who loves eating grilled cheese is the person who is tall.\n3. Peter is not in the second house.\n4. The person who is tall is directly left of the person who loves stir fry.\n5. The person who loves cooking is the person who has an average height.\n6. Alice is directly left of the person who is a pizza lover.\n7. The person who loves the spaghetti eater is not in the second house.\n8. Eric is not in the fifth house.\n9. The person who is short is Peter.\n10. The person who has an average height and the person who enjoys gardening are next to each other.\n11. The person who paints as a hobby is directly left of the person who loves eating grilled cheese.\n12. The person who is very short is in the fifth house.\n13. The person who is tall is in the third house.\n14. Alice is somewhere to the right of the photography enthusiast.\n\n\nChoices:\n0. gardening\n1. cooking\n2. knitting\n3. photography\n4. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n\n## Clues:\n1. The person who loves beach vacations is somewhere to the right of Eric.\n\n\nChoices:\n0. beach\n1. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `watermelon`\n\n## Clues:\n1. The Desert smoothie lover is the person who enjoys gardening.\n2. The photography enthusiast is the Swedish person.\n3. Peter is somewhere to the left of the Desert smoothie lover.\n4. The person who is a pizza lover is in the third house.\n5. The person who enjoys gardening is the Dane.\n6. There is one house between the person who loves eating grilled cheese and Arnold.\n7. Arnold is the Swedish person.\n8. The Watermelon smoothie lover is somewhere to the left of the person who likes Cherry smoothies.\n\n\nChoices:\n0. grilled cheese\n1. pizza\n2. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `cruise`, `city`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n\n## Clues:\n1. The person who loves beach vacations is the person who loves yellow.\n2. Alice is the person who loves white.\n3. The person whose favorite color is green is somewhere to the right of the person who likes going on cruises.\n4. The person whose favorite color is red is somewhere to the right of the person whose favorite color is green.\n5. Arnold is the person whose favorite color is red.\n6. There are two houses between Eric and the person who prefers city breaks.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`, `painting`\n\n## Clues:\n1. The person who paints as a hobby is in the fourth house.\n2. The person who loves cooking is somewhere to the right of the person who enjoys gardening.\n3. Peter is in the second house.\n4. The person who loves cooking is somewhere to the left of Alice.\n5. There is one house between Peter and Eric.\n\n\nChoices:\n0. gardening\n1. cooking\n2. painting\n3. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - They all have a unique favorite flower: `roses`, `daffodils`, `carnations`, `lilies`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. Eric is the person who loves romance books.\n3. The person who loves a carnations arrangement is in the first house.\n4. The person who loves a bouquet of daffodils is the person who loves science fiction books.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who enjoys mountain retreats is the person who loves mystery books.\n7. The person who loves science fiction books is Peter.\n8. The person who prefers city breaks is in the second house.\n9. The person who prefers city breaks and the person who loves classical music are next to each other.\n10. The person who loves beach vacations is not in the first house.\n11. The person who loves romance books is the person who loves pop music.\n12. The person who loves romance books is somewhere to the left of Alice.\n13. The person who loves the boquet of lilies is the person who loves mystery books.\n14. Peter is somewhere to the left of Alice.\n\n\nChoices:\n0. roses\n1. carnations\n2. daffodils\n3. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `dragonfruit`, `cherry`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`\n - The people are of nationalities: `dane`, `brit`, `norwegian`, `swede`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. There is one house between Alice and the Norwegian.\n3. There are two houses between the person who uses a OnePlus 9 and the person living in a colonial-style house.\n4. The person living in a colonial-style house is the British person.\n5. The person who uses an iPhone 13 is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is the British person.\n7. The person residing in a Victorian house is somewhere to the left of the person who uses a Samsung Galaxy S21.\n8. The Dane is the person who uses a OnePlus 9.\n9. The Desert smoothie lover is not in the second house.\n10. The person who uses an iPhone 13 is the Dragonfruit smoothie lover.\n11. Eric is the Norwegian.\n12. The person who uses a Samsung Galaxy S21 is the person in a Craftsman-style house.\n\n\nChoices:\n0. dane\n1. swede\n2. brit\n3. norwegian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `doctor`, `engineer`\n - People have unique hair colors: `brown`, `black`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is Arnold.\n2. The person who has black hair is not in the second house.\n3. Eric is somewhere to the right of the person who is an engineer.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique type of pet: `fish`, `cat`, `dog`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n\n## Clues:\n1. The person who loves romance books is the person who has a cat.\n2. The person who owns a dog is somewhere to the left of Peter.\n3. The Prince smoker and the person who has a cat are next to each other.\n4. The person partial to Pall Mall is Arnold.\n5. There is one house between the Prince smoker and the person who smokes Blue Master.\n6. The Prince smoker is somewhere to the left of the person who loves mystery books.\n\n\nChoices:\n0. mystery\n1. science fiction\n2. romance\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `watermelon`, `cherry`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`, `painting`\n\n## Clues:\n1. The Desert smoothie lover is in the second house.\n2. The person who enjoys gardening is not in the fourth house.\n3. The Watermelon smoothie lover is the person who enjoys gardening.\n4. Peter is directly left of the person who paints as a hobby.\n5. The person who enjoys gardening is Eric.\n6. Alice is directly left of Eric.\n7. Alice is somewhere to the right of the photography enthusiast.\n8. The person who likes Cherry smoothies is Peter.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Eric`, `Alice`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`, `tulips`\n - Each person has an occupation: `artist`, `doctor`, `lawyer`, `teacher`, `engineer`\n - Everyone has a favorite smoothie: `lime`, `watermelon`, `cherry`, `dragonfruit`, `desert`\n - People own unique car models: `honda civic`, `ford f150`, `bmw 3 series`, `toyota camry`, `tesla model 3`\n\n## Clues:\n1. Arnold is the person who is an artist.\n2. The person who is a doctor is the person who loves the rose bouquet.\n3. Bob is the person who loves a carnations arrangement.\n4. The person who owns a BMW 3 Series is Arnold.\n5. The person who loves the boquet of lilies is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n7. The person who is a lawyer is the person who owns a Toyota Camry.\n8. The person who loves the boquet of lilies is Arnold.\n9. There are two houses between Bob and the person who owns a Honda Civic.\n10. The person who owns a Tesla Model 3 is in the third house.\n11. Peter is directly left of the person who loves the boquet of lilies.\n12. The Desert smoothie lover is the person who is a teacher.\n13. The person who is an artist and the Dragonfruit smoothie lover are next to each other.\n14. The person who is a doctor is the Watermelon smoothie lover.\n15. The person who loves the vase of tulips is directly left of the person who owns a Toyota Camry.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Eric\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`, `Bob`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `cruise`, `city`, `camping`\n - Each person lives in a unique style of house: `ranch`, `modern`, `craftsman`, `colonial`, `victorian`\n - Each person has a unique level of education: `bachelor`, `doctorate`, `master`, `associate`, `high school`\n - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Aniya is the person in a ranch-style home.\n2. The person in a Craftsman-style house is Bob.\n3. The person with a high school diploma is not in the fourth house.\n4. Arnold and the person in a Craftsman-style house are next to each other.\n5. Arnold is The person whose mother's name is Penny.\n6. The person with an associate's degree is somewhere to the left of the person with a master's degree.\n7. Bob and Peter are next to each other.\n8. The person living in a colonial-style house is The person whose mother's name is Penny.\n9. The person whose mother's name is Holly is the person who enjoys camping trips.\n10. The person with a doctorate is the person who prefers city breaks.\n11. The person with a bachelor's degree is The person whose mother's name is Aniya.\n12. The person with an associate's degree is somewhere to the right of Eric.\n13. Arnold is directly left of the person who likes going on cruises.\n14. The person who enjoys camping trips is somewhere to the right of the person residing in a Victorian house.\n15. The person who enjoys mountain retreats is in the first house.\n16. The person whose mother's name is Janelle is the person with an associate's degree.\n17. The person with an associate's degree is directly left of Arnold.\n\n\nChoices:\n0. modern\n1. colonial\n2. craftsman\n3. ranch\n4. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Everyone has a favorite smoothie: `cherry`, `dragonfruit`, `desert`, `watermelon`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `roses`, `carnations`, `daffodils`, `lilies`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `mystery`, `romance`\n\n## Clues:\n1. The person who loves romance books is the person who loves white.\n2. The person who loves fantasy books is the person who loves a bouquet of daffodils.\n3. The person who likes Cherry smoothies is somewhere to the left of the person who loves romance books.\n4. The person who loves science fiction books is somewhere to the right of Peter.\n5. The person who loves the boquet of lilies is the person who loves science fiction books.\n6. The person who loves romance books is not in the fourth house.\n7. The person who loves fantasy books is the Dragonfruit smoothie lover.\n8. The person who loves white is the Desert smoothie lover.\n9. The person who loves a carnations arrangement is not in the third house.\n10. Alice is the person who likes Cherry smoothies.\n11. Eric is the person who loves mystery books.\n12. The person whose favorite color is green is in the second house.\n13. The person who loves yellow is somewhere to the left of Eric.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `craftsman`\n - The people keep unique animals: `cat`, `horse`, `fish`, `bird`\n - Each mother is accompanied by their child: `Meredith`, `Samantha`, `Fred`, `Bella`\n\n## Clues:\n1. The cat lover is not in the third house.\n2. There is one house between the person residing in a Victorian house and the person who loves the stew.\n3. The person residing in a Victorian house and the bird keeper are next to each other.\n4. The person who loves eating grilled cheese is the person in a ranch-style home.\n5. The person who loves the spaghetti eater is Peter.\n6. Alice is the person in a ranch-style home.\n7. The cat lover is Arnold.\n8. The person in a Craftsman-style house is the person's child is named Samantha.\n9. The person's child is named Bella is directly left of the person who loves the spaghetti eater.\n10. The person who is a pizza lover is the person's child is named Fred.\n11. The person who loves eating grilled cheese is in the second house.\n12. The person's child is named Samantha is somewhere to the right of the fish enthusiast.\n\n\nChoices:\n0. fish\n1. cat\n2. bird\n3. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`\n - The people keep unique animals: `horse`, `bird`, `cat`, `fish`\n\n## Clues:\n1. Arnold is the cat lover.\n2. The bird keeper is not in the second house.\n3. The person who keeps horses is Eric.\n4. Eric is somewhere to the right of the bird keeper.\n5. There is one house between Arnold and Alice.\n6. The cat lover is in the first house.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `camping`, `beach`, `mountain`\n - Each mother is accompanied by their child: `Bella`, `Samantha`, `Fred`, `Meredith`, `Timothy`\n - The people are of nationalities: `dane`, `norwegian`, `brit`, `german`, `swede`\n\n## Clues:\n1. The Norwegian is Peter.\n2. The Swedish person is the person's child is named Bella.\n3. The person who loves beach vacations is directly left of the person's child is named Samantha.\n4. The person's child is named Bella is not in the second house.\n5. Alice is the British person.\n6. The person who likes going on cruises is in the first house.\n7. The person's child is named Meredith is in the fourth house.\n8. Eric is not in the fifth house.\n9. The Swedish person is somewhere to the right of the Norwegian.\n10. There is one house between the person's child is named Fred and the person who prefers city breaks.\n11. Bob is the person who enjoys camping trips.\n12. The Dane is in the fifth house.\n13. The person who enjoys camping trips is not in the fifth house.\n\n\nChoices:\n0. german\n1. norwegian\n2. swede\n3. brit\n4. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person prefers a unique type of vacation: `camping`, `cruise`, `mountain`, `beach`, `city`\n - People have unique favorite sports: `soccer`, `basketball`, `baseball`, `tennis`, `swimming`\n - Each person has a unique favorite drink: `milk`, `tea`, `water`, `root beer`, `coffee`\n\n## Clues:\n1. The person who loves tennis is not in the second house.\n2. The person who loves beach vacations is somewhere to the right of Arnold.\n3. The person who loves basketball is the one who only drinks water.\n4. The tea drinker is in the fifth house.\n5. The person who likes milk is not in the third house.\n6. The tea drinker is the person who enjoys mountain retreats.\n7. The person who enjoys camping trips is not in the third house.\n8. Bob is in the fifth house.\n9. The person who loves beach vacations is somewhere to the left of Peter.\n10. The person who loves swimming is in the fifth house.\n11. Peter is directly left of Alice.\n12. The person who loves soccer is the person who enjoys camping trips.\n13. The root beer lover is Arnold.\n14. The person who prefers city breaks is Alice.\n15. Alice is the person who loves baseball.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Alice\n3. Eric\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n\n## Clues:\n1. Peter is somewhere to the right of the person who loves romance books.\n2. The person with a bachelor's degree is in the second house.\n3. The person with a bachelor's degree is the person who loves science fiction books.\n4. The person with an associate's degree is Peter.\n5. Arnold and Peter are next to each other.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n\n## Clues:\n1. Eric is not in the second house.\n2. The person whose mother's name is Aniya is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. Arnold is in the first house.\n2. The person who has brown hair is not in the first house.\n\n\nChoices:\n0. brown\n1. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `jan`, `mar`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `tulips`, `carnations`, `roses`\n\n## Clues:\n1. The person who loves the vase of tulips is somewhere to the left of the person whose birthday is in January.\n2. The person whose birthday is in March and Alice are next to each other.\n3. The person whose birthday is in April is Bob.\n4. The person whose birthday is in January is not in the fourth house.\n5. The person who loves the vase of tulips is not in the first house.\n6. The person whose birthday is in February is in the fifth house.\n7. The person who loves a carnations arrangement is not in the third house.\n8. The person whose birthday is in September is somewhere to the right of Peter.\n9. The person who loves the boquet of lilies is the person whose birthday is in February.\n10. Eric is not in the third house.\n11. The person who loves the rose bouquet is directly left of Alice.\n\n\nChoices:\n0. lilies\n1. roses\n2. daffodils\n3. tulips\n4. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`, `Bob`\n - The people keep unique animals: `fish`, `dog`, `bird`, `cat`, `horse`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`, `camping`, `cruise`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Arnold is not in the fifth house.\n3. The person who uses a OnePlus 9 is the person who enjoys mountain retreats.\n4. Bob is the person who loves beach vacations.\n5. The cat lover is in the second house.\n6. There are two houses between the person who uses a Google Pixel 6 and the fish enthusiast.\n7. The person who enjoys camping trips is the person who keeps horses.\n8. The fish enthusiast and the person who enjoys mountain retreats are next to each other.\n9. The dog owner is not in the fifth house.\n10. The fish enthusiast is Alice.\n11. The person who prefers city breaks is the person who uses a Huawei P50.\n12. There are two houses between Arnold and the person who uses a Samsung Galaxy S21.\n13. The person who loves beach vacations is in the third house.\n14. Eric is somewhere to the left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. Bob\n1. Peter\n2. Arnold\n3. Eric\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. The person who owns a Ford F-150 is Arnold.\n2. Arnold is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - People have unique hair colors: `black`, `blonde`, `brown`, `red`\n - People own unique car models: `tesla model 3`, `ford f150`, `honda civic`, `toyota camry`\n\n## Clues:\n1. Eric is somewhere to the right of Alice.\n2. The person who has red hair is somewhere to the right of Eric.\n3. Alice is not in the second house.\n4. The person who owns a Honda Civic is somewhere to the left of the person who has brown hair.\n5. The person who has red hair is in the fourth house.\n6. The person who has blonde hair is the person who owns a Tesla Model 3.\n7. Arnold is not in the second house.\n8. Arnold is not in the fourth house.\n9. The person who owns a Ford F-150 is in the second house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has an occupation: `engineer`, `doctor`\n\n## Clues:\n1. Arnold is the person who is an engineer.\n2. The person who is an engineer is in the first house.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Everyone has something unique for lunch: `stew`, `stir fry`, `spaghetti`, `grilled cheese`, `pizza`\n - Everyone has a favorite smoothie: `watermelon`, `lime`, `desert`, `dragonfruit`, `cherry`\n - People have unique favorite book genres: `fantasy`, `biography`, `mystery`, `science fiction`, `romance`\n - Each person has a unique hobby: `photography`, `knitting`, `cooking`, `gardening`, `painting`\n\n## Clues:\n1. The person who loves stir fry is the Desert smoothie lover.\n2. The person who loves the spaghetti eater is the person who enjoys gardening.\n3. Bob is somewhere to the left of the person who loves mystery books.\n4. The person who paints as a hobby is directly left of Alice.\n5. The Desert smoothie lover is the person who loves romance books.\n6. The photography enthusiast and the person who loves eating grilled cheese are next to each other.\n7. The person who loves cooking is somewhere to the left of the Desert smoothie lover.\n8. The person who likes Cherry smoothies is Alice.\n9. There is one house between the person who drinks Lime smoothies and the person who enjoys gardening.\n10. The Watermelon smoothie lover is Eric.\n11. The person who loves eating grilled cheese is directly left of the Dragonfruit smoothie lover.\n12. The person who is a pizza lover is Alice.\n13. The person who loves romance books is Peter.\n14. The person who loves fantasy books is the Watermelon smoothie lover.\n15. Alice is the person who loves biography books.\n16. Eric is not in the third house.\n\n\nChoices:\n0. Alice\n1. Bob\n2. Peter\n3. Arnold\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`\n\n## Clues:\n1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is not in the first house.\n3. The person with a master's degree is Alice.\n4. The person with a master's degree is directly left of the person who loves classical music.\n5. Eric is not in the second house.\n6. Arnold is not in the third house.\n7. The person who loves yellow is directly left of the person who loves the rose bouquet.\n8. The person who loves pop music is in the second house.\n9. The person with an associate's degree is not in the fourth house.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. The person whose favorite color is red is directly left of the person who loves white.\n12. The person whose favorite color is red is the person who loves rock music.\n13. Arnold is the person who loves yellow.\n14. The person who loves a bouquet of daffodils is the person who loves yellow.\n\n\nChoices:\n0. associate\n1. bachelor\n2. master\n3. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person has a favorite color: `yellow`, `white`, `red`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. The person who loves tennis is The person whose mother's name is Aniya.\n2. Eric is in the second house.\n3. The person who loves soccer is directly left of the person whose favorite color is red.\n4. The person who loves yellow is in the first house.\n5. The person whose mother's name is Holly is the person who loves soccer.\n6. The person whose mother's name is Aniya is the person who loves yellow.\n7. The person who loves yellow is Arnold.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - The people are of nationalities: `dane`, `brit`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The Desert smoothie lover is not in the second house.\n2. The Desert smoothie lover is Eric.\n3. The Dane is The person whose mother's name is Holly.\n4. Eric is The person whose mother's name is Holly.\n5. Eric is the person who loves mystery books.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n\n## Clues:\n1. Arnold is somewhere to the left of the person who likes milk.\n2. The photography enthusiast is the tea drinker.\n3. The person who loves cooking is Peter.\n4. Eric is not in the third house.\n5. Arnold is the person who enjoys gardening.\n6. The photography enthusiast and the person who likes milk are next to each other.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique type of pet: `bird`, `dog`, `hamster`, `fish`, `cat`\n - People have unique favorite book genres: `fantasy`, `romance`, `science fiction`, `biography`, `mystery`\n - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `baseball`, `swimming`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`, `blends`, `dunhill`\n\n## Clues:\n1. The Dunhill smoker is in the fifth house.\n2. The person with an aquarium of fish is directly left of the person who loves biography books.\n3. The person who loves mystery books is somewhere to the left of Arnold.\n4. The person who smokes many unique blends is the person who loves soccer.\n5. The person who loves romance books is directly left of the person who smokes Blue Master.\n6. Arnold is somewhere to the right of the person who loves fantasy books.\n7. Alice is not in the third house.\n8. The person who loves fantasy books is Peter.\n9. The person partial to Pall Mall is somewhere to the left of Eric.\n10. The person who keeps a pet bird is in the second house.\n11. The person who smokes many unique blends is the person with a pet hamster.\n12. Eric is directly left of the person who loves tennis.\n13. The person who loves tennis is in the fifth house.\n14. The person who loves swimming is directly left of the person who keeps a pet bird.\n15. The person partial to Pall Mall is the person who loves baseball.\n16. The person who has a cat and Arnold are next to each other.\n\n\nChoices:\n0. Eric\n1. Bob\n2. Arnold\n3. Alice\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. Arnold is in the first house.\n2. The person who is short is Arnold.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n - The people keep unique animals: `cat`, `horse`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Holly is the person's child is named Bella.\n2. Arnold is not in the first house.\n3. The person whose mother's name is Holly is somewhere to the right of the person who keeps horses.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `dunhill`, `pall mall`, `prince`, `blue master`\n - Each person has a unique level of education: `associate`, `high school`, `master`, `bachelor`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`, `painting`\n\n## Clues:\n1. The person with a bachelor's degree is the person who enjoys gardening.\n2. Arnold is somewhere to the left of the person who loves a carnations arrangement.\n3. Eric is not in the second house.\n4. The person who loves a bouquet of daffodils is the person who paints as a hobby.\n5. The person who loves the rose bouquet is the person who smokes Blue Master.\n6. The person partial to Pall Mall is Peter.\n7. Arnold is in the third house.\n8. Peter is directly left of the person who enjoys gardening.\n9. Arnold is the person with a high school diploma.\n10. The person who smokes Blue Master is not in the second house.\n11. The Prince smoker is the photography enthusiast.\n12. The person with a master's degree is somewhere to the left of the person who smokes Blue Master.\n\n\nChoices:\n0. lilies\n1. carnations\n2. roses\n3. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - Each person has a unique birthday month: `mar`, `feb`, `jan`, `sept`, `april`\n - They all have a unique favorite flower: `tulips`, `lilies`, `carnations`, `daffodils`, `roses`\n - Each person has a unique level of education: `high school`, `bachelor`, `doctorate`, `associate`, `master`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `dragonfruit`, `lime`\n\n## Clues:\n1. There is one house between the Desert smoothie lover and the person whose birthday is in April.\n2. The person with a bachelor's degree is Peter.\n3. The person who loves a bouquet of daffodils is the person with a high school diploma.\n4. Eric is not in the second house.\n5. The person who drinks Lime smoothies and the person who loves the rose bouquet are next to each other.\n6. Alice is in the third house.\n7. The person whose birthday is in February is Peter.\n8. The person with a master's degree is the person whose birthday is in March.\n9. The person whose birthday is in February is in the fourth house.\n10. The person whose birthday is in March is the person who drinks Lime smoothies.\n11. Peter is the Dragonfruit smoothie lover.\n12. The person with an associate's degree is not in the second house.\n13. The person who loves a carnations arrangement is not in the second house.\n14. The Watermelon smoothie lover is Arnold.\n15. Alice is the person whose birthday is in September.\n16. The person who loves the boquet of lilies is not in the second house.\n17. The person with an associate's degree is Arnold.\n18. The person who loves the vase of tulips is Peter.\n19. The person who loves the boquet of lilies is not in the first house.\n\n\nChoices:\n0. sept\n1. april\n2. jan\n3. mar\n4. feb\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`\n - People have unique favorite music genres: `rock`, `pop`, `classical`, `jazz`, `hip hop`\n - People have unique hair colors: `gray`, `black`, `red`, `blonde`, `brown`\n - The people are of nationalities: `norwegian`, `german`, `dane`, `brit`, `swede`\n\n## Clues:\n1. The German is somewhere to the left of the person who loves rock music.\n2. There are two houses between Alice and the British person.\n3. The person who loves jazz music is the person who has gray hair.\n4. There are two houses between the person who has black hair and Peter.\n5. The Swedish person is the person who has red hair.\n6. The person who loves pop music is somewhere to the left of Peter.\n7. The person who has gray hair is the German.\n8. Eric is the person who loves rock music.\n9. Arnold is in the second house.\n10. The person who has blonde hair is in the third house.\n11. Alice is the Dane.\n12. The person who loves classical music is somewhere to the left of the German.\n\n\nChoices:\n0. black\n1. red\n2. brown\n3. blonde\n4. gray\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The people keep unique animals: `horse`, `cat`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a carnations arrangement is Eric.\n2. The person who loves a bouquet of daffodils is the person who loves eating grilled cheese.\n3. The person who loves eating grilled cheese is in the second house.\n4. The cat lover is in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`\n - People have unique favorite book genres: `science fiction`, `mystery`, `fantasy`, `romance`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n\n## Clues:\n1. The person who loves romance books and the person who likes going on cruises are next to each other.\n2. Arnold is The person whose mother's name is Janelle.\n3. The person who prefers city breaks is the person who loves yellow.\n4. The person who loves science fiction books is directly left of Peter.\n5. The person who loves science fiction books is somewhere to the left of The person whose mother's name is Kailyn.\n6. The person who loves beach vacations is not in the first house.\n7. There is one house between Alice and the person who likes going on cruises.\n8. The person who loves mystery books is the person who loves white.\n9. Peter is the person who prefers city breaks.\n10. The person whose favorite color is green is in the third house.\n11. The person whose mother's name is Aniya is Peter.\n12. The person whose favorite color is green is The person whose mother's name is Janelle.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `dunhill`, `blue master`, `prince`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `jan`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`, `painting`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n\n## Clues:\n1. The person who loves jazz music is the person whose birthday is in April.\n2. Alice is the person whose birthday is in April.\n3. Peter is directly left of the person who loves cooking.\n4. The person whose birthday is in February is Arnold.\n5. The Dunhill smoker is not in the third house.\n6. The Prince smoker is Arnold.\n7. The person who loves jazz music is the person partial to Pall Mall.\n8. The person whose birthday is in January is not in the third house.\n9. The person who loves rock music is Peter.\n10. The person who enjoys gardening is directly left of the photography enthusiast.\n11. The person who loves classical music is in the first house.\n12. The person who loves pop music is somewhere to the left of the person partial to Pall Mall.\n13. The person who smokes Blue Master is the person who loves pop music.\n\n\nChoices:\n0. cooking\n1. photography\n2. painting\n3. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. The person partial to Pall Mall is Arnold.\n2. Arnold is in the first house.\n\n\nChoices:\n0. prince\n1. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n - Each person lives in a unique style of house: `colonial`, `craftsman`, `ranch`, `victorian`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Aniya`\n - Each mother is accompanied by their child: `Fred`, `Samantha`, `Meredith`, `Bella`\n\n## Clues:\n1. The person whose mother's name is Kailyn is in the second house.\n2. The person living in a colonial-style house is the person's child is named Meredith.\n3. There is one house between the person's child is named Samantha and The person whose mother's name is Janelle.\n4. The person in a ranch-style home is the person's child is named Fred.\n5. Eric is the person's child is named Bella.\n6. The person whose mother's name is Janelle is the person with an aquarium of fish.\n7. Arnold is the person in a Craftsman-style house.\n8. The person who keeps a pet bird and the person with an aquarium of fish are next to each other.\n9. The person whose mother's name is Holly is directly left of Peter.\n10. The person who has a cat is the person living in a colonial-style house.\n11. The person's child is named Fred is somewhere to the left of The person whose mother's name is Janelle.\n\n\nChoices:\n0. Peter\n1. Alice\n2. Eric\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Bob`, `Alice`\n - Everyone has a favorite smoothie: `watermelon`, `lime`, `cherry`, `dragonfruit`, `desert`\n - The people keep unique animals: `fish`, `bird`, `horse`, `cat`, `dog`\n - Each person prefers a unique type of vacation: `camping`, `beach`, `mountain`, `city`, `cruise`\n - Each person has a unique favorite drink: `root beer`, `water`, `milk`, `tea`, `coffee`\n\n## Clues:\n1. The person who keeps horses is the person who drinks Lime smoothies.\n2. There is one house between the Watermelon smoothie lover and the person who likes Cherry smoothies.\n3. Bob and the coffee drinker are next to each other.\n4. The fish enthusiast is the one who only drinks water.\n5. The bird keeper is Bob.\n6. The person who enjoys mountain retreats is directly left of the root beer lover.\n7. The person who loves beach vacations is somewhere to the left of the dog owner.\n8. Eric is the person who likes Cherry smoothies.\n9. The tea drinker is Alice.\n10. The person who prefers city breaks is somewhere to the right of the person who enjoys mountain retreats.\n11. Peter is somewhere to the left of the coffee drinker.\n12. Eric is the person who loves beach vacations.\n13. The person who enjoys mountain retreats is Alice.\n14. There are two houses between the Watermelon smoothie lover and Alice.\n15. The person who enjoys camping trips is not in the first house.\n16. The dog owner is not in the fifth house.\n17. The fish enthusiast and the Dragonfruit smoothie lover are next to each other.\n\n\nChoices:\n0. lime\n1. desert\n2. dragonfruit\n3. watermelon\n4. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n\n## Clues:\n1. Arnold is the person who enjoys mountain retreats.\n2. The person who loves mystery books is not in the second house.\n3. The person whose birthday is in April is not in the first house.\n4. The person who loves beach vacations is directly left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`\n - People have unique heights: `very tall`, `average`, `tall`, `very short`, `short`\n - Everyone has something unique for lunch: `stew`, `grilled cheese`, `spaghetti`, `pizza`, `stir fry`\n\n## Clues:\n1. Alice is the person who is short.\n2. The person who is tall is in the third house.\n3. The person who has an average height is not in the second house.\n4. The person who has an average height is somewhere to the left of the person who loves the stew.\n5. The person who loves stir fry is Arnold.\n6. The person who is a pizza lover is the person who is tall.\n7. Eric is the person who is tall.\n8. Bob is somewhere to the right of Arnold.\n9. The person who loves eating grilled cheese is somewhere to the right of Eric.\n10. The person who is very short is somewhere to the left of Arnold.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Bob\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - The people are of nationalities: `dane`, `swede`, `brit`\n\n## Clues:\n1. The photography enthusiast is the British person.\n2. Arnold is directly left of the British person.\n3. The person who enjoys gardening is somewhere to the right of the Dane.\n4. The Swedish person is the Desert smoothie lover.\n5. The photography enthusiast is somewhere to the left of Eric.\n6. Arnold is directly left of the Watermelon smoothie lover.\n\n\nChoices:\n0. desert\n1. watermelon\n2. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `oneplus 9`, `google pixel 6`, `iphone 13`\n - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`\n - People have unique hair colors: `red`, `black`, `blonde`, `brown`\n - Each person has a favorite color: `white`, `yellow`, `red`, `green`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who has brown hair.\n2. The person who has black hair is somewhere to the left of the Prince smoker.\n3. The person who loves yellow is the person who smokes Blue Master.\n4. The Dunhill smoker is the person who uses a OnePlus 9.\n5. The person who uses a OnePlus 9 is directly left of the person who has red hair.\n6. Alice is not in the second house.\n7. The Prince smoker is somewhere to the left of the person who uses a OnePlus 9.\n8. The person who smokes Blue Master is the person who uses a Samsung Galaxy S21.\n9. Eric is the person who loves white.\n10. The person who smokes Blue Master is directly left of the person whose favorite color is red.\n11. The person partial to Pall Mall is Arnold.\n\n\nChoices:\n0. red\n1. white\n2. yellow\n3. green\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. Peter is the Swedish person.\n2. Eric is the British person.\n3. Eric is in the first house.\n4. The Swedish person is somewhere to the right of the Dane.\n\n\nChoices:\n0. swede\n1. brit\n2. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - The people keep unique animals: `bird`, `cat`, `horse`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n - Each person has a unique favorite drink: `tea`, `water`, `milk`\n - Each person has an occupation: `teacher`, `engineer`, `doctor`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. The person who is a doctor is Eric.\n3. Eric is the person who loves eating grilled cheese.\n4. The person who loves eating grilled cheese is the one who only drinks water.\n5. The person who keeps horses is the person who likes milk.\n6. The one who only drinks water is the bird keeper.\n7. The person who is a pizza lover is Arnold.\n8. Peter is in the third house.\n9. Arnold is the tea drinker.\n10. The person who is a teacher is not in the third house.\n\n\nChoices:\n0. teacher\n1. engineer\n2. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n\n## Clues:\n1. The person's child is named Fred is Peter.\n2. The person's child is named Fred is not in the second house.\n3. The person's child is named Bella is in the first house.\n4. The person who likes Cherry smoothies is directly left of Peter.\n5. The person who likes Cherry smoothies is Eric.\n6. The Desert smoothie lover is Peter.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n - People have unique heights: `short`, `very short`, `average`\n\n## Clues:\n1. Peter is the Watermelon smoothie lover.\n2. Eric is the person who has an average height.\n3. The person who has an average height is the person who loves tennis.\n4. The person who loves soccer is the person residing in a Victorian house.\n5. The person who likes Cherry smoothies is in the first house.\n6. The person living in a colonial-style house is in the first house.\n7. Peter is directly left of the person residing in a Victorian house.\n8. The person who is short is Peter.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Bob`, `Arnold`\n - The people are of nationalities: `norwegian`, `brit`, `swede`, `dane`, `german`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `camping`, `beach`, `city`\n - Each person has a unique level of education: `bachelor`, `master`, `associate`, `doctorate`, `high school`\n - Each person has an occupation: `artist`, `doctor`, `engineer`, `teacher`, `lawyer`\n\n## Clues:\n1. The person who likes going on cruises is the person who is a lawyer.\n2. The person who loves beach vacations is directly left of Arnold.\n3. The person with a doctorate is somewhere to the left of Bob.\n4. The person with an associate's degree is the person who likes going on cruises.\n5. Peter is not in the first house.\n6. The person who is an artist is Peter.\n7. The person who enjoys camping trips is the person with a master's degree.\n8. The Dane is somewhere to the right of the person who is a doctor.\n9. The person with an associate's degree is directly left of the person who is an engineer.\n10. The person who enjoys camping trips is the British person.\n11. The Norwegian and the person with a bachelor's degree are next to each other.\n12. The person who is an artist is the Swedish person.\n13. Bob is not in the fourth house.\n14. The person who enjoys camping trips is Eric.\n15. Alice is the German.\n16. The person who loves beach vacations is somewhere to the left of the person who prefers city breaks.\n17. The person who enjoys mountain retreats is in the fifth house.\n18. The person who likes going on cruises is somewhere to the right of the person who loves beach vacations.\n19. The person with a bachelor's degree is in the third house.\n\n\nChoices:\n0. lawyer\n1. doctor\n2. artist\n3. engineer\n4. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n\n## Clues:\n1. Eric is somewhere to the left of the person who uses an iPhone 13.\n2. The person who uses a Samsung Galaxy S21 is the person residing in a Victorian house.\n\n\nChoices:\n0. victorian\n1. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`, `fantasy`\n - Each person has an occupation: `engineer`, `teacher`, `artist`, `doctor`\n\n## Clues:\n1. Alice is the person who is an engineer.\n2. Eric is not in the second house.\n3. Eric and the person who is a doctor are next to each other.\n4. The person who loves fantasy books is somewhere to the left of Peter.\n5. The person who loves romance books is not in the fourth house.\n6. The person who loves romance books and the person who is a doctor are next to each other.\n7. The person who is a teacher is in the second house.\n8. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. science fiction\n1. mystery\n2. fantasy\n3. romance\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person who uses an iPhone 13 is Peter.\n2. The tea drinker is somewhere to the right of Eric.\n3. The person whose birthday is in April is not in the third house.\n4. The person whose birthday is in January is directly left of the person who likes milk.\n5. The person who uses a Samsung Galaxy S21 and the person who uses an iPhone 13 are next to each other.\n6. The person whose birthday is in September is Peter.\n7. Eric is directly left of the person who uses an iPhone 13.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `roses`, `carnations`\n\n## Clues:\n1. Peter is the person who loves a bouquet of daffodils.\n2. Arnold is in the third house.\n3. Alice is in the fourth house.\n4. The person who loves the boquet of lilies is somewhere to the right of the person who loves the rose bouquet.\n5. There are two houses between Peter and the person who loves a carnations arrangement.\n\n\nChoices:\n0. daffodils\n1. carnations\n2. lilies\n3. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Peter`, `Eric`\n - People have unique favorite sports: `baseball`, `swimming`, `tennis`, `soccer`, `basketball`\n - People have unique heights: `tall`, `short`, `average`, `very tall`, `very short`\n - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`, `cruise`, `camping`\n - Each person lives in a unique style of house: `modern`, `victorian`, `craftsman`, `colonial`, `ranch`\n\n## Clues:\n1. Arnold is the person who has an average height.\n2. Arnold is not in the first house.\n3. The person who loves soccer is the person who likes going on cruises.\n4. The person who is very tall is the person who loves basketball.\n5. The person who is very short is in the third house.\n6. The person in a modern-style house is somewhere to the right of the person who loves soccer.\n7. The person who enjoys camping trips is in the fourth house.\n8. The person who is short is not in the fourth house.\n9. The person living in a colonial-style house is the person who prefers city breaks.\n10. The person who loves tennis is directly left of Eric.\n11. Alice and the person in a ranch-style home are next to each other.\n12. The person in a modern-style house is somewhere to the left of the person in a ranch-style home.\n13. The person who enjoys mountain retreats and the person in a Craftsman-style house are next to each other.\n14. The person in a Craftsman-style house is somewhere to the left of Peter.\n15. The person who loves basketball is the person living in a colonial-style house.\n16. The person who loves swimming is the person who enjoys mountain retreats.\n17. The person in a Craftsman-style house is the person who loves tennis.\n18. Eric is not in the third house.\n\n\nChoices:\n0. beach\n1. camping\n2. cruise\n3. city\n4. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `tea`, `water`, `coffee`, `milk`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `stew`, `pizza`\n\n## Clues:\n1. Arnold is the one who only drinks water.\n2. The person who loves eating grilled cheese is somewhere to the left of Arnold.\n3. The person who loves the spaghetti eater is in the second house.\n4. Eric is the person who loves the stew.\n5. The person who loves eating grilled cheese is Peter.\n6. The person who loves the stew is the person who likes milk.\n7. The person who loves eating grilled cheese is the coffee drinker.\n8. Arnold is the person who is a pizza lover.\n9. The one who only drinks water is not in the fourth house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `craftsman`, `colonial`, `victorian`\n\n## Clues:\n1. Eric and Alice are next to each other.\n2. The person living in a colonial-style house is in the second house.\n3. The person in a Craftsman-style house is directly left of Arnold.\n4. The person in a ranch-style home is in the fourth house.\n5. Alice is the person in a ranch-style home.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n\n## Clues:\n1. Peter is somewhere to the left of the person living in a colonial-style house.\n2. The person in a ranch-style home is Arnold.\n3. The person with an associate's degree is in the second house.\n4. The person who loves soccer is in the first house.\n5. The person who loves basketball is not in the third house.\n6. Peter is somewhere to the right of Arnold.\n7. Arnold is somewhere to the left of the person with a bachelor's degree.\n\n\nChoices:\n0. tennis\n1. basketball\n2. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Each person lives in a unique style of house: `craftsman`, `colonial`, `victorian`, `ranch`\n - People have unique hair colors: `red`, `blonde`, `black`, `brown`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`, `Samantha`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n\n## Clues:\n1. The person in a Craftsman-style house is in the third house.\n2. Alice is the person who loves romance books.\n3. The person who has brown hair is in the fourth house.\n4. The person's child is named Samantha is in the fourth house.\n5. The person in a ranch-style home is somewhere to the right of the person who has red hair.\n6. Peter is the person's child is named Bella.\n7. Arnold is the person who has red hair.\n8. Alice is the person living in a colonial-style house.\n9. The person who has black hair is in the second house.\n10. The person who loves fantasy books is Peter.\n11. Arnold is the person's child is named Meredith.\n12. The person who has black hair is Eric.\n13. The person who loves science fiction books is Arnold.\n\n\nChoices:\n0. brown\n1. blonde\n2. black\n3. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Bob`, `Alice`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `huawei p50`, `oneplus 9`, `iphone 13`\n - People have unique favorite book genres: `science fiction`, `romance`, `biography`, `mystery`, `fantasy`\n\n## Clues:\n1. Peter is the person who uses a Huawei P50.\n2. The person who loves fantasy books is directly left of Alice.\n3. Bob is in the second house.\n4. There are two houses between the person who uses a OnePlus 9 and the person who loves biography books.\n5. Arnold is the person who loves romance books.\n6. The person who loves fantasy books is the person who uses a OnePlus 9.\n7. The person who uses a Samsung Galaxy S21 is not in the fifth house.\n8. The person who uses an iPhone 13 is the person who loves science fiction books.\n9. Peter is directly left of the person who uses a OnePlus 9.\n\n\nChoices:\n0. huawei p50\n1. iphone 13\n2. oneplus 9\n3. samsung galaxy s21\n4. google pixel 6\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique heights: `very short`, `short`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Aniya is Arnold.\n2. The person whose mother's name is Aniya is in the first house.\n3. The person who is very short is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. The person who owns a dog is directly left of Arnold.\n2. The person who uses an iPhone 13 is the person who has a cat.\n\n\nChoices:\n0. samsung galaxy s21\n1. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - They all have a unique favorite flower: `carnations`, `daffodils`\n - The people are of nationalities: `brit`, `dane`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. Arnold is the Desert smoothie lover.\n2. The person who loves a carnations arrangement is somewhere to the right of the Desert smoothie lover.\n3. The Dane is the person who loves soccer.\n4. The British person is not in the first house.\n\n\nChoices:\n0. soccer\n1. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite sports: `basketball`, `soccer`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. The person who loves soccer is somewhere to the left of the person who loves basketball.\n2. Arnold is the person who owns a Tesla Model 3.\n3. Arnold is not in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - Each person has a unique favorite drink: `tea`, `milk`, `water`\n\n## Clues:\n1. The person partial to Pall Mall is Peter.\n2. The person who likes milk is directly left of the person with a high school diploma.\n3. Eric is the tea drinker.\n4. Arnold and the Prince smoker are next to each other.\n5. The person who enjoys gardening is somewhere to the left of the Prince smoker.\n6. The person who likes milk is the person with an associate's degree.\n7. The person with a bachelor's degree is directly left of the photography enthusiast.\n\n\nChoices:\n0. milk\n1. water\n2. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Eric`, `Peter`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`, `blue`\n - Everyone has something unique for lunch: `grilled cheese`, `stew`, `pizza`, `spaghetti`, `stir fry`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`\n - Each person has a unique level of education: `master`, `associate`, `doctorate`, `bachelor`, `high school`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is somewhere to the left of the person whose favorite color is green.\n2. The person whose favorite color is red is Alice.\n3. Bob is directly left of the person whose favorite color is red.\n4. Alice is the person with an associate's degree.\n5. The person with a high school diploma is the person who loves eating grilled cheese.\n6. The person who uses a Google Pixel 6 is the person who loves yellow.\n7. The person who loves stir fry is the person with a bachelor's degree.\n8. The person who is a pizza lover is not in the first house.\n9. The person who loves white is the person with a master's degree.\n10. The person who loves blue is Eric.\n11. The person who uses a Huawei P50 is the person who loves the stew.\n12. The person who uses an iPhone 13 is the person with a high school diploma.\n13. The person whose favorite color is green is the person who loves stir fry.\n14. The person with a doctorate and the person who loves white are next to each other.\n15. The person who loves the stew is not in the second house.\n16. Arnold is somewhere to the right of the person who loves eating grilled cheese.\n17. The person who loves yellow is in the first house.\n\n\nChoices:\n0. huawei p50\n1. iphone 13\n2. oneplus 9\n3. google pixel 6\n4. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`\n - People have unique heights: `very short`, `average`, `short`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n\n## Clues:\n1. The person who loves tennis is somewhere to the left of The person whose mother's name is Aniya.\n2. The person who is short is The person whose mother's name is Holly.\n3. The person who loves tennis and the person who is very short are next to each other.\n4. The person who loves soccer is somewhere to the right of Arnold.\n5. Eric is not in the first house.\n6. Arnold is in the second house.\n7. The person whose mother's name is Holly is in the third house.\n\n\nChoices:\n0. very short\n1. average\n2. short\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. Arnold is somewhere to the left of the person who is a doctor.\n2. Arnold is the person whose favorite color is red.\n\n\nChoices:\n0. engineer\n1. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`\n\n## Clues:\n1. The person who is a pizza lover is Eric.\n2. The person with a bachelor's degree is directly left of the Swedish person.\n3. The person who is a pizza lover is in the first house.\n4. The person with a bachelor's degree is the person who loves eating grilled cheese.\n5. The person living in a colonial-style house and the person who loves eating grilled cheese are next to each other.\n6. Arnold is the person who loves eating grilled cheese.\n7. The British person is the person with a high school diploma.\n8. The person with a bachelor's degree is directly left of the person residing in a Victorian house.\n\n\nChoices:\n0. swede\n1. dane\n2. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Bob`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `fish`, `cat`, `dog`, `bird`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `lawyer`, `teacher`\n - Each person has a favorite color: `green`, `blue`, `yellow`, `red`, `white`\n - The people keep unique animals: `bird`, `cat`, `horse`, `fish`, `dog`\n\n## Clues:\n1. The person who owns a dog is Arnold.\n2. The bird keeper is in the fourth house.\n3. The person who keeps a pet bird is directly left of the dog owner.\n4. The person who loves white is somewhere to the left of the person who is a lawyer.\n5. The person who loves yellow is directly left of the person whose favorite color is green.\n6. The cat lover is Bob.\n7. The cat lover is somewhere to the left of Eric.\n8. The person who keeps horses is in the fifth house.\n9. The person who is a lawyer is directly left of the person who is a teacher.\n10. The person who is a doctor is in the first house.\n11. Alice is the person who loves yellow.\n12. The person who loves blue is directly left of the person with an aquarium of fish.\n13. The person who loves yellow is in the first house.\n14. The person with a pet hamster is the person who is an artist.\n15. Eric is the dog owner.\n\n\nChoices:\n0. engineer\n1. doctor\n2. lawyer\n3. teacher\n4. artist\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n\n## Clues:\n1. The person who loves eating grilled cheese is directly left of the person who is a pizza lover.\n2. Arnold is not in the second house.\n3. Arnold is The person whose mother's name is Holly.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`, `bmw 3 series`\n - The people are of nationalities: `brit`, `norwegian`, `german`, `swede`, `dane`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `tulips`, `roses`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves a carnations arrangement.\n2. The person who owns a Toyota Camry is Alice.\n3. The person who owns a BMW 3 Series is somewhere to the right of Arnold.\n4. Arnold is not in the third house.\n5. The Swedish person is in the first house.\n6. The German is the person who loves a bouquet of daffodils.\n7. Arnold is not in the second house.\n8. The Norwegian is the person who owns a Tesla Model 3.\n9. The Dane is somewhere to the left of the person who owns a Ford F-150.\n10. The person who owns a BMW 3 Series is somewhere to the right of the person who loves a carnations arrangement.\n11. Alice is directly left of the person who loves the rose bouquet.\n12. Peter and the person who loves the vase of tulips are next to each other.\n13. The British person is somewhere to the right of the Norwegian.\n14. The person who loves the vase of tulips is Eric.\n15. The person who owns a Ford F-150 is Eric.\n\n\nChoices:\n0. swede\n1. german\n2. norwegian\n3. dane\n4. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`, `modern`, `craftsman`\n - People use unique phone models: `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `huawei p50`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `pall mall`, `blends`, `prince`\n - People have unique favorite book genres: `mystery`, `science fiction`, `biography`, `romance`, `fantasy`\n\n## Clues:\n1. There is one house between the person residing in a Victorian house and the person who uses a Samsung Galaxy S21.\n2. The person who smokes many unique blends is Eric.\n3. The person who smokes many unique blends is the person who loves fantasy books.\n4. Alice is somewhere to the right of the person who uses a Samsung Galaxy S21.\n5. Bob is directly left of Eric.\n6. The person who loves mystery books is directly left of the person who loves fantasy books.\n7. Bob is somewhere to the left of the person who uses an iPhone 13.\n8. The person who uses a Google Pixel 6 is somewhere to the right of Peter.\n9. The person who loves romance books is directly left of the person in a ranch-style home.\n10. The person living in a colonial-style house is in the fourth house.\n11. The person who loves fantasy books is in the fourth house.\n12. The person partial to Pall Mall is Peter.\n13. The person in a modern-style house and the person who smokes Blue Master are next to each other.\n14. The person who loves science fiction books is the Dunhill smoker.\n15. Eric is the person who uses a Samsung Galaxy S21.\n16. The person who uses a Huawei P50 and the person who loves fantasy books are next to each other.\n\n\nChoices:\n0. craftsman\n1. modern\n2. colonial\n3. ranch\n4. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is somewhere to the right of Eric.\n\n\nChoices:\n0. samsung galaxy s21\n1. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `milk`, `tea`, `coffee`, `water`\n - The people keep unique animals: `horse`, `bird`, `fish`, `cat`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`\n\n## Clues:\n1. Peter is the cat lover.\n2. The fish enthusiast is not in the third house.\n3. The person who loves beach vacations is the person who keeps horses.\n4. The fish enthusiast is not in the fourth house.\n5. The coffee drinker is directly left of the bird keeper.\n6. The one who only drinks water is Eric.\n7. The tea drinker is somewhere to the right of Peter.\n8. Eric is not in the second house.\n9. The person who loves beach vacations is somewhere to the right of Peter.\n10. The person who loves beach vacations is Alice.\n11. The cat lover is somewhere to the left of the person who likes going on cruises.\n12. The person who keeps horses is directly left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Eric\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Peter`, `Alice`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`, `stir fry`\n - The people keep unique animals: `bird`, `horse`, `cat`, `fish`, `dog`\n - Each person has a unique level of education: `master`, `doctorate`, `high school`, `associate`, `bachelor`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. The person who is a pizza lover is somewhere to the right of Peter.\n3. Peter is in the first house.\n4. The person with a bachelor's degree is the person who is a pizza lover.\n5. The cat lover is the person with a master's degree.\n6. The person who loves stir fry is the person with a doctorate.\n7. The person with a high school diploma is directly left of the person with a master's degree.\n8. The dog owner is the person who loves stir fry.\n9. There is one house between Arnold and the person with an associate's degree.\n10. The person who loves eating grilled cheese is the fish enthusiast.\n11. Arnold is in the second house.\n12. The person who keeps horses is Arnold.\n13. Eric is directly left of the person with an associate's degree.\n14. The person who loves the spaghetti eater is the cat lover.\n\n\nChoices:\n0. stir fry\n1. stew\n2. spaghetti\n3. grilled cheese\n4. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Bob`, `Arnold`\n - People have unique favorite book genres: `mystery`, `fantasy`, `biography`, `science fiction`, `romance`\n - Each person prefers a unique type of vacation: `mountain`, `camping`, `city`, `beach`, `cruise`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Penny`, `Aniya`\n\n## Clues:\n1. Bob is the person who loves fantasy books.\n2. The person whose mother's name is Janelle and Eric are next to each other.\n3. The person who enjoys camping trips is the person who loves biography books.\n4. Peter is The person whose mother's name is Kailyn.\n5. Peter and The person whose mother's name is Janelle are next to each other.\n6. The person who loves beach vacations is Bob.\n7. Peter is somewhere to the right of the person who loves romance books.\n8. The person whose mother's name is Penny is the person who loves biography books.\n9. Bob is directly left of the person who prefers city breaks.\n10. The person who loves science fiction books is in the fourth house.\n11. Arnold and Bob are next to each other.\n12. The person whose mother's name is Aniya is the person who enjoys mountain retreats.\n\n\nChoices:\n0. Kailyn\n1. Aniya\n2. Holly\n3. Janelle\n4. Penny\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`\n - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`, `stir fry`\n\n## Clues:\n1. Peter is in the fourth house.\n2. The person who loves the stew is not in the second house.\n3. The person who loves the stew is not in the fourth house.\n4. Eric is not in the fifth house.\n5. The person who loves eating grilled cheese is Bob.\n6. The person who loves the spaghetti eater is in the third house.\n7. The person who loves stir fry is in the first house.\n8. Alice is in the third house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite music genres: `pop`, `rock`\n\n## Clues:\n1. Eric is not in the first house.\n2. Eric is the person who loves rock music.\n\n\nChoices:\n0. pop\n1. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - People own unique car models: `honda civic`, `tesla model 3`, `ford f150`, `toyota camry`\n - Each person has a unique type of pet: `bird`, `cat`, `fish`, `dog`\n - People use unique phone models: `oneplus 9`, `iphone 13`, `google pixel 6`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who owns a dog.\n2. Alice is not in the second house.\n3. The person who uses an iPhone 13 is the person who owns a Toyota Camry.\n4. The person who uses a Google Pixel 6 is not in the fourth house.\n5. The person who owns a Ford F-150 is not in the second house.\n6. The person with an aquarium of fish is directly left of the person who keeps a pet bird.\n7. Peter is the person who uses a Google Pixel 6.\n8. The person who owns a Tesla Model 3 is directly left of the person who uses an iPhone 13.\n9. Eric is not in the second house.\n10. Eric is not in the first house.\n11. The person who uses a Google Pixel 6 and the person who owns a Ford F-150 are next to each other.\n12. The person who uses a OnePlus 9 is somewhere to the left of the person who owns a Ford F-150.\n\n\nChoices:\n0. iphone 13\n1. oneplus 9\n2. google pixel 6\n3. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`\n\n## Clues:\n1. The person who loves classical music is somewhere to the right of the person who loves rock music.\n2. The person who loves pop music is the person who loves the spaghetti eater.\n3. Arnold is not in the third house.\n4. Arnold is the person who loves eating grilled cheese.\n5. Peter and the person who loves pop music are next to each other.\n6. Peter is not in the third house.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n2. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a favorite color: `red`, `yellow`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. Arnold is the person who loves eating grilled cheese.\n2. The person who loves a carnations arrangement is directly left of the person who is a pizza lover.\n3. The person whose favorite color is red is the person who is a pizza lover.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`, `stew`\n - People use unique phone models: `iphone 13`, `google pixel 6`, `samsung galaxy s21`, `oneplus 9`\n - Each person has a unique hobby: `painting`, `cooking`, `photography`, `gardening`\n\n## Clues:\n1. Peter is the person who is a pizza lover.\n2. The person who is a pizza lover and the person who loves the spaghetti eater are next to each other.\n3. The person who loves eating grilled cheese is directly left of Eric.\n4. Eric is the person who loves cooking.\n5. The person who uses a Google Pixel 6 is in the fourth house.\n6. The photography enthusiast is in the second house.\n7. The person who is a pizza lover is the person who uses a OnePlus 9.\n8. The person who uses a Samsung Galaxy S21 is in the third house.\n9. Arnold is directly left of the person who enjoys gardening.\n\n\nChoices:\n0. cooking\n1. photography\n2. painting\n3. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`, `swimming`\n - People have unique hair colors: `red`, `black`, `brown`, `blonde`\n\n## Clues:\n1. Peter and the person who has blonde hair are next to each other.\n2. The person who has black hair is not in the second house.\n3. The person who loves soccer is somewhere to the right of the person who has brown hair.\n4. Eric is in the second house.\n5. The person who loves tennis is the person who has blonde hair.\n6. The person who has brown hair is the person who loves basketball.\n7. Arnold is somewhere to the right of the person who has black hair.\n8. The person who has brown hair is directly left of the person who has black hair.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Arnold\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - Each person has a unique type of pet: `cat`, `dog`, `bird`, `fish`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`, `Kailyn`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `craftsman`\n - People have unique favorite sports: `soccer`, `basketball`, `swimming`, `tennis`\n\n## Clues:\n1. The person who loves soccer is Alice.\n2. The person whose mother's name is Kailyn is somewhere to the left of the person in a Craftsman-style house.\n3. The person with an aquarium of fish and The person whose mother's name is Janelle are next to each other.\n4. Alice is the person who keeps a pet bird.\n5. The person who loves swimming is the person in a ranch-style home.\n6. Eric is in the first house.\n7. Eric is the person residing in a Victorian house.\n8. Arnold is the person in a ranch-style home.\n9. Arnold is not in the second house.\n10. The person whose mother's name is Holly is somewhere to the left of the person who owns a dog.\n11. The person whose mother's name is Janelle is in the fourth house.\n12. The person whose mother's name is Kailyn is the person who loves tennis.\n13. Alice is The person whose mother's name is Janelle.\n\n\nChoices:\n0. fish\n1. bird\n2. cat\n3. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`, `Bob`\n - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`\n - The people are of nationalities: `norwegian`, `dane`, `swede`, `german`, `brit`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `roses`, `carnations`, `tulips`\n\n## Clues:\n1. There is one house between the person who loves the rose bouquet and the person who is an artist.\n2. The person who is an engineer is in the second house.\n3. The Swedish person is the person who is an artist.\n4. The Dane is somewhere to the right of Bob.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The Dane is the person who is a doctor.\n7. The person who loves the boquet of lilies is not in the fourth house.\n8. The person who loves the rose bouquet is Peter.\n9. The person who is an engineer is somewhere to the left of the person who is a teacher.\n10. The Norwegian is in the third house.\n11. Arnold is the British person.\n12. The person who loves a carnations arrangement is the Dane.\n13. Alice is the Norwegian.\n\n\nChoices:\n0. carnations\n1. tulips\n2. daffodils\n3. roses\n4. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n\n## Clues:\n1. Peter is somewhere to the left of the person living in a colonial-style house.\n2. The person in a ranch-style home is Arnold.\n3. The person with an associate's degree is in the second house.\n4. The person who loves soccer is in the first house.\n5. The person who loves basketball is not in the third house.\n6. Peter is somewhere to the right of Arnold.\n7. Arnold is somewhere to the left of the person with a bachelor's degree.\n\n\nChoices:\n0. high school\n1. bachelor\n2. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - The people keep unique animals: `bird`, `cat`, `horse`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n - Each person has a unique favorite drink: `tea`, `water`, `milk`\n - Each person has an occupation: `teacher`, `engineer`, `doctor`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. The person who is a doctor is Eric.\n3. Eric is the person who loves eating grilled cheese.\n4. The person who loves eating grilled cheese is the one who only drinks water.\n5. The person who keeps horses is the person who likes milk.\n6. The one who only drinks water is the bird keeper.\n7. The person who is a pizza lover is Arnold.\n8. Peter is in the third house.\n9. Arnold is the tea drinker.\n10. The person who is a teacher is not in the third house.\n\n\nChoices:\n0. pizza\n1. spaghetti\n2. grilled cheese\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n\n## Clues:\n1. Arnold is the person who enjoys mountain retreats.\n2. The person who loves mystery books is not in the second house.\n3. The person whose birthday is in April is not in the first house.\n4. The person who loves beach vacations is directly left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Bob`, `Peter`, `Arnold`\n - People have unique favorite book genres: `fantasy`, `romance`, `mystery`, `science fiction`, `biography`\n - Each person has a unique level of education: `bachelor`, `master`, `high school`, `doctorate`, `associate`\n\n## Clues:\n1. The person who loves fantasy books is Alice.\n2. Bob is directly left of the person with a bachelor's degree.\n3. The person with a high school diploma is the person who loves science fiction books.\n4. The person with an associate's degree is Bob.\n5. The person who loves fantasy books is somewhere to the right of the person with a master's degree.\n6. Arnold is the person with a high school diploma.\n7. Eric is not in the second house.\n8. The person who loves biography books is the person with a doctorate.\n9. The person who loves science fiction books is in the third house.\n10. The person who loves mystery books is not in the first house.\n11. The person with a master's degree is somewhere to the left of the person with a doctorate.\n\n\nChoices:\n0. science fiction\n1. mystery\n2. romance\n3. fantasy\n4. biography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`\n - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`, `stir fry`\n\n## Clues:\n1. Peter is in the fourth house.\n2. The person who loves the stew is not in the second house.\n3. The person who loves the stew is not in the fourth house.\n4. Eric is not in the fifth house.\n5. The person who loves eating grilled cheese is Bob.\n6. The person who loves the spaghetti eater is in the third house.\n7. The person who loves stir fry is in the first house.\n8. Alice is in the third house.\n\n\nChoices:\n0. stew\n1. pizza\n2. grilled cheese\n3. stir fry\n4. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. Arnold is directly left of the person who is an engineer.\n2. The person partial to Pall Mall is directly left of the person living in a colonial-style house.\n\n\nChoices:\n0. prince\n1. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`, `dunhill`\n - People have unique heights: `tall`, `very short`, `average`, `short`\n\n## Clues:\n1. Alice is the person who has an average height.\n2. Eric is somewhere to the right of the Dunhill smoker.\n3. The Dunhill smoker is the person who is very short.\n4. The person who is very short and Alice are next to each other.\n5. The Prince smoker is not in the fourth house.\n6. The person who is short is somewhere to the right of Alice.\n7. The person partial to Pall Mall is Peter.\n8. Alice is in the third house.\n\n\nChoices:\n0. tall\n1. very short\n2. short\n3. average\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - The people keep unique animals: `bird`, `horse`, `cat`\n - Each person prefers a unique type of vacation: `mountain`, `city`, `beach`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n\n## Clues:\n1. The person with a high school diploma is the bird keeper.\n2. Eric is the person with a high school diploma.\n3. The person who keeps horses is in the third house.\n4. The person with a bachelor's degree is the person who likes Cherry smoothies.\n5. Eric is not in the first house.\n6. The person who prefers city breaks is Peter.\n7. The person who likes Cherry smoothies is not in the first house.\n8. Peter is not in the third house.\n9. The person who loves beach vacations is the Watermelon smoothie lover.\n\n\nChoices:\n0. bachelor\n1. high school\n2. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite music genres: `pop`, `rock`\n\n## Clues:\n1. Eric is not in the first house.\n2. Eric is the person who loves rock music.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n - Each person lives in a unique style of house: `ranch`, `victorian`, `colonial`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`\n\n## Clues:\n1. The person who loves romance books is in the third house.\n2. Arnold is the person who loves a carnations arrangement.\n3. The person living in a colonial-style house is the person whose birthday is in September.\n4. The person who loves a carnations arrangement is in the second house.\n5. The person whose birthday is in April is the person in a ranch-style home.\n6. The person who loves science fiction books is Arnold.\n7. The person in a ranch-style home is the person who loves a carnations arrangement.\n8. The person whose birthday is in January is somewhere to the left of Peter.\n9. The person whose birthday is in April is somewhere to the left of the person who loves the boquet of lilies.\n\n\nChoices:\n0. ranch\n1. colonial\n2. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `prince`, `blue master`, `dunhill`, `pall mall`\n\n## Clues:\n1. The person who smokes Blue Master is in the first house.\n2. There is one house between Arnold and the Prince smoker.\n3. The Dunhill smoker is Eric.\n4. The Prince smoker and Peter are next to each other.\n5. The Dunhill smoker is somewhere to the left of the Prince smoker.\n\n\nChoices:\n0. blue master\n1. pall mall\n2. prince\n3. dunhill\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Bob`, `Peter`\n - Each person has a unique favorite drink: `root beer`, `water`, `coffee`, `tea`, `milk`\n - Each person has a unique birthday month: `jan`, `april`, `sept`, `feb`, `mar`\n - Each person has an occupation: `teacher`, `lawyer`, `engineer`, `doctor`, `artist`\n - Each person prefers a unique type of vacation: `city`, `cruise`, `mountain`, `beach`, `camping`\n\n## Clues:\n1. The root beer lover is Bob.\n2. The person who is an engineer is Bob.\n3. The coffee drinker is not in the first house.\n4. Peter is not in the second house.\n5. The one who only drinks water is not in the fifth house.\n6. The person who is a doctor is directly left of the person who prefers city breaks.\n7. The person who likes going on cruises is somewhere to the left of the person whose birthday is in April.\n8. The person whose birthday is in February is the person who loves beach vacations.\n9. Eric is somewhere to the right of Arnold.\n10. The tea drinker is the person who enjoys mountain retreats.\n11. The person who enjoys mountain retreats is not in the second house.\n12. The person whose birthday is in April is not in the second house.\n13. The tea drinker is somewhere to the left of the person who enjoys camping trips.\n14. The person who is an engineer is the person who enjoys camping trips.\n15. The person who is an artist is the person whose birthday is in April.\n16. The person whose birthday is in March is not in the first house.\n17. Arnold is the coffee drinker.\n18. The coffee drinker is the person whose birthday is in February.\n19. The person who is a lawyer is somewhere to the right of the person who is a teacher.\n20. The coffee drinker is not in the second house.\n21. The person whose birthday is in April is the one who only drinks water.\n22. The person whose birthday is in January is the root beer lover.\n\n\nChoices:\n0. milk\n1. root beer\n2. tea\n3. water\n4. coffee\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`, `Bob`\n - Each person has a unique birthday month: `sept`, `mar`, `april`, `feb`, `jan`\n - The people keep unique animals: `horse`, `bird`, `dog`, `fish`, `cat`\n\n## Clues:\n1. The person whose birthday is in September is Peter.\n2. The dog owner is in the first house.\n3. Bob is not in the second house.\n4. The bird keeper is not in the second house.\n5. The bird keeper is not in the fourth house.\n6. The person whose birthday is in March is not in the second house.\n7. Bob and the person whose birthday is in January are next to each other.\n8. The person who keeps horses is the person whose birthday is in February.\n9. Eric is in the first house.\n10. The person whose birthday is in March and the person whose birthday is in April are next to each other.\n11. The bird keeper is not in the third house.\n12. The cat lover is not in the second house.\n13. Arnold is in the fourth house.\n\n\nChoices:\n0. Peter\n1. Bob\n2. Alice\n3. Eric\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`\n - People have unique heights: `tall`, `short`, `average`, `very short`\n\n## Clues:\n1. Alice is somewhere to the left of the person who is very short.\n2. The person who is tall is somewhere to the right of the person who has an average height.\n3. The person who has an average height is Eric.\n4. Peter is not in the fourth house.\n5. There is one house between the person who is short and Peter.\n6. The person who is very short is not in the third house.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `prince`, `blue master`, `pall mall`\n\n## Clues:\n1. The person who smokes Blue Master is not in the third house.\n2. Arnold is in the second house.\n3. The person who smokes Blue Master is not in the second house.\n4. Eric is the Prince smoker.\n\n\nChoices:\n0. blue master\n1. prince\n2. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person partial to Pall Mall is Arnold.\n2. The Prince smoker is in the first house.\n3. The person partial to Pall Mall is the person who owns a Ford F-150.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Alice`, `Eric`, `Arnold`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `huawei p50`\n - Each person has an occupation: `lawyer`, `engineer`, `teacher`, `artist`, `doctor`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is directly left of Eric.\n2. There are two houses between Alice and the person who is an artist.\n3. The person who uses an iPhone 13 is directly left of Bob.\n4. The person who is a lawyer is in the third house.\n5. The person who is a doctor is Arnold.\n6. The person who is an engineer is directly left of the person who is an artist.\n7. The person who uses a OnePlus 9 is somewhere to the right of Eric.\n8. The person who uses a Google Pixel 6 is Peter.\n\n\nChoices:\n0. iphone 13\n1. oneplus 9\n2. google pixel 6\n3. samsung galaxy s21\n4. huawei p50\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. Arnold is the person who loves beach vacations.\n2. The person who loves beach vacations is not in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - People have unique favorite book genres: `science fiction`, `romance`, `mystery`\n\n## Clues:\n1. The person who likes Cherry smoothies is somewhere to the left of the person who loves mystery books.\n2. Arnold is the person who loves mystery books.\n3. The person who loves science fiction books is not in the first house.\n4. The Desert smoothie lover is directly left of the person who loves mystery books.\n5. Peter is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `oneplus 9`, `google pixel 6`, `iphone 13`\n - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`\n - People have unique hair colors: `red`, `black`, `blonde`, `brown`\n - Each person has a favorite color: `white`, `yellow`, `red`, `green`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who has brown hair.\n2. The person who has black hair is somewhere to the left of the Prince smoker.\n3. The person who loves yellow is the person who smokes Blue Master.\n4. The Dunhill smoker is the person who uses a OnePlus 9.\n5. The person who uses a OnePlus 9 is directly left of the person who has red hair.\n6. Alice is not in the second house.\n7. The Prince smoker is somewhere to the left of the person who uses a OnePlus 9.\n8. The person who smokes Blue Master is the person who uses a Samsung Galaxy S21.\n9. Eric is the person who loves white.\n10. The person who smokes Blue Master is directly left of the person whose favorite color is red.\n11. The person partial to Pall Mall is Arnold.\n\n\nChoices:\n0. blonde\n1. red\n2. black\n3. brown\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Arnold`, `Alice`, `Eric`\n - Each person has an occupation: `lawyer`, `teacher`, `artist`, `engineer`, `doctor`\n - Each person lives in a unique style of house: `victorian`, `craftsman`, `modern`, `ranch`, `colonial`\n - People have unique hair colors: `blonde`, `gray`, `red`, `brown`, `black`\n - People have unique favorite book genres: `romance`, `biography`, `science fiction`, `mystery`, `fantasy`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Peter is not in the second house.\n3. Peter is directly left of Eric.\n4. The person living in a colonial-style house is somewhere to the left of the person who loves fantasy books.\n5. Arnold is the person who is a doctor.\n6. The person who has gray hair is the person who loves fantasy books.\n7. The person who loves science fiction books is not in the fifth house.\n8. Peter is the person who has red hair.\n9. The person who loves romance books is the person who has black hair.\n10. Eric is the person who has black hair.\n11. The person who is a doctor is somewhere to the right of Peter.\n12. The person who has blonde hair is the person who is a teacher.\n13. Peter is the person who loves mystery books.\n14. The person who is a lawyer is Eric.\n15. The person living in a colonial-style house is the person who is an engineer.\n16. The person residing in a Victorian house is the person who loves mystery books.\n17. The person who is a teacher is not in the fourth house.\n18. The person who is an artist is somewhere to the left of the person in a modern-style house.\n19. The person who is a teacher is not in the third house.\n20. The person in a ranch-style home is directly left of the person in a Craftsman-style house.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Bob\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Kailyn`, `Holly`\n - Each person has a unique level of education: `master`, `high school`, `bachelor`, `associate`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. The person with a master's degree is somewhere to the left of The person whose mother's name is Aniya.\n3. Alice is not in the second house.\n4. The person with a high school diploma is the person who loves classical music.\n5. The person with a master's degree is in the third house.\n6. The person whose mother's name is Janelle is Eric.\n7. The person with a master's degree is Arnold.\n8. The person whose mother's name is Holly is in the second house.\n9. Peter is the person with a high school diploma.\n10. The person with an associate's degree is the person who loves rock music.\n\n\nChoices:\n0. pop\n1. classical\n2. jazz\n3. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`, `romance`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n - People have unique heights: `average`, `very short`, `short`\n\n## Clues:\n1. The person who likes Cherry smoothies is not in the second house.\n2. Arnold is the person who loves mystery books.\n3. The person whose birthday is in January is not in the first house.\n4. The person who is very short is the person who loves romance books.\n5. The person who loves mystery books is the person whose birthday is in September.\n6. The person who has an average height is the Desert smoothie lover.\n7. Eric is in the first house.\n8. The Watermelon smoothie lover is the person who is short.\n9. The Watermelon smoothie lover is Eric.\n\n\nChoices:\n0. sept\n1. april\n2. jan\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `tulips`, `daffodils`, `lilies`, `roses`, `carnations`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Timothy`, `Meredith`, `Samantha`\n - Each person has a unique level of education: `high school`, `bachelor`, `doctorate`, `master`, `associate`\n - The people keep unique animals: `cat`, `fish`, `dog`, `horse`, `bird`\n\n## Clues:\n1. Peter is somewhere to the right of the dog owner.\n2. There is one house between the person who loves a carnations arrangement and the person with a bachelor's degree.\n3. There is one house between the person with a doctorate and the cat lover.\n4. The person with an associate's degree is directly left of the person who loves the vase of tulips.\n5. There is one house between the cat lover and the person who keeps horses.\n6. The person's child is named Fred is somewhere to the left of the person with a bachelor's degree.\n7. The person's child is named Meredith is not in the third house.\n8. The person with a master's degree is the person's child is named Bella.\n9. The person with a bachelor's degree is Bob.\n10. The person who is the mother of Timothy is the person who loves a bouquet of daffodils.\n11. The person's child is named Samantha is Bob.\n12. Arnold is directly left of Peter.\n13. The bird keeper is directly left of the person who loves a bouquet of daffodils.\n14. The person who loves the rose bouquet is the bird keeper.\n15. There is one house between the dog owner and the fish enthusiast.\n16. The person who loves the vase of tulips is Eric.\n\n\nChoices:\n0. tulips\n1. lilies\n2. carnations\n3. roses\n4. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `lime`, `dragonfruit`, `desert`, `watermelon`, `cherry`\n - The people keep unique animals: `horse`, `dog`, `bird`, `fish`, `cat`\n - The people are of nationalities: `german`, `swede`, `norwegian`, `brit`, `dane`\n\n## Clues:\n1. The Swedish person is directly left of the dog owner.\n2. There are two houses between the dog owner and the British person.\n3. The Dane is the person who keeps horses.\n4. The bird keeper is somewhere to the right of the cat lover.\n5. The dog owner is directly left of the person who drinks Lime smoothies.\n6. Eric is the cat lover.\n7. Bob is the bird keeper.\n8. The person who likes Cherry smoothies is directly left of Peter.\n9. The bird keeper is the Watermelon smoothie lover.\n10. The Desert smoothie lover is the dog owner.\n11. The person who keeps horses is in the third house.\n12. The Norwegian is Alice.\n\n\nChoices:\n0. cherry\n1. lime\n2. watermelon\n3. dragonfruit\n4. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person has a favorite color: `yellow`, `white`, `red`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. The person who loves tennis is The person whose mother's name is Aniya.\n2. Eric is in the second house.\n3. The person who loves soccer is directly left of the person whose favorite color is red.\n4. The person who loves yellow is in the first house.\n5. The person whose mother's name is Holly is the person who loves soccer.\n6. The person whose mother's name is Aniya is the person who loves yellow.\n7. The person who loves yellow is Arnold.\n\n\nChoices:\n0. red\n1. white\n2. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique heights: `short`, `very short`, `average`, `tall`\n - Each person has a favorite color: `yellow`, `white`, `red`, `green`\n - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`\n - The people keep unique animals: `bird`, `fish`, `horse`, `cat`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the bird keeper.\n2. Peter is not in the first house.\n3. The person who loves the rose bouquet is directly left of Eric.\n4. The person who loves a carnations arrangement and the person who loves the rose bouquet are next to each other.\n5. Alice is directly left of the bird keeper.\n6. The person who keeps horses is Peter.\n7. The fish enthusiast is the person who loves a bouquet of daffodils.\n8. The person whose favorite color is red is the person who loves a bouquet of daffodils.\n9. The person who is tall is in the third house.\n10. The person who has an average height is somewhere to the left of the person who loves white.\n11. The person whose favorite color is green is not in the second house.\n12. The person who is short is somewhere to the left of the person who is tall.\n13. The person who is short is the person whose favorite color is green.\n\n\nChoices:\n0. horse\n1. cat\n2. fish\n3. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n\n## Clues:\n1. The person's child is named Fred is directly left of Arnold.\n2. The person who loves mystery books is not in the second house.\n3. The person with a high school diploma is the person's child is named Bella.\n4. Eric and the Desert smoothie lover are next to each other.\n\n\nChoices:\n0. high school\n1. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Meredith`, `Fred`, `Samantha`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person's child is named Samantha.\n2. The person whose favorite color is red is directly left of the person who loves white.\n3. Eric is somewhere to the right of the person who loves the stew.\n4. The person who loves white is in the fourth house.\n5. The person whose favorite color is green is not in the second house.\n6. The person whose favorite color is red is the person's child is named Bella.\n7. The person who loves eating grilled cheese is in the second house.\n8. There is one house between the person's child is named Meredith and Alice.\n9. There is one house between Peter and Alice.\n10. Alice is not in the third house.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n2. spaghetti\n3. stew\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - The people keep unique animals: `horse`, `bird`, `cat`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Janelle`\n\n## Clues:\n1. The bird keeper is somewhere to the left of Eric.\n2. The bird keeper is directly left of the Prince smoker.\n3. The person partial to Pall Mall is Arnold.\n4. Eric is not in the third house.\n5. The person partial to Pall Mall is the cat lover.\n6. The person whose mother's name is Aniya is the bird keeper.\n7. The person whose mother's name is Janelle is not in the second house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has an occupation: `engineer`, `doctor`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. The person who is a doctor is not in the first house.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`\n\n## Clues:\n1. The person who enjoys gardening is Eric.\n2. Peter is in the first house.\n3. The person who loves cooking is Peter.\n4. Peter is directly left of Arnold.\n\n\nChoices:\n0. gardening\n1. photography\n2. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is not in the first house.\n2. The person who is a pizza lover is the person who loves a bouquet of daffodils.\n3. The person who loves a bouquet of daffodils is Eric.\n4. The person with a high school diploma is the person who loves a bouquet of daffodils.\n5. The person who loves pop music is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Arnold`, `Peter`, `Eric`\n - The mothers' names in different houses are unique: `Penny`, `Aniya`, `Kailyn`, `Janelle`, `Holly`\n - The people keep unique animals: `cat`, `bird`, `dog`, `fish`, `horse`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `cherry`, `watermelon`, `lime`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `teacher`, `lawyer`\n\n## Clues:\n1. Bob is the Desert smoothie lover.\n2. The cat lover is the person who is an engineer.\n3. The person whose mother's name is Penny is the bird keeper.\n4. The person who is a lawyer is the fish enthusiast.\n5. The person who likes Cherry smoothies is directly left of Alice.\n6. The Watermelon smoothie lover and the person who is an engineer are next to each other.\n7. The person whose mother's name is Holly is the dog owner.\n8. The person who is a teacher is in the first house.\n9. The person whose mother's name is Penny is in the second house.\n10. The person who drinks Lime smoothies is the person who is a doctor.\n11. The person whose mother's name is Janelle is the person who is a lawyer.\n12. Arnold is not in the third house.\n13. The Dragonfruit smoothie lover is directly left of Peter.\n14. The person whose mother's name is Kailyn is the Dragonfruit smoothie lover.\n15. Arnold is somewhere to the right of Peter.\n16. The dog owner is not in the fifth house.\n17. The Watermelon smoothie lover is somewhere to the left of the Desert smoothie lover.\n\n\nChoices:\n0. artist\n1. engineer\n2. lawyer\n3. teacher\n4. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `photography`, `gardening`\n - Each person has a unique type of pet: `cat`, `dog`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. The person who has a cat is Arnold.\n2. Eric is directly left of Arnold.\n3. The person who enjoys gardening is the person who loves yellow.\n4. The person who enjoys gardening is in the first house.\n5. The person whose mother's name is Aniya is not in the second house.\n\n\nChoices:\n0. yellow\n1. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. Arnold is in the first house.\n2. There is one house between The person whose mother's name is Holly and Eric.\n3. The person who enjoys gardening is The person whose mother's name is Aniya.\n4. The photography enthusiast is not in the first house.\n5. Peter is somewhere to the left of The person whose mother's name is Janelle.\n\n\nChoices:\n0. photography\n1. gardening\n2. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`, `fantasy`\n\n## Clues:\n1. The person who loves romance books is somewhere to the right of Eric.\n2. The person who loves science fiction books is Peter.\n3. Eric is not in the first house.\n4. Eric is not in the third house.\n5. Arnold is somewhere to the right of Alice.\n6. The person who loves mystery books is in the third house.\n\n\nChoices:\n0. science fiction\n1. fantasy\n2. mystery\n3. romance\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`, `bmw 3 series`\n - The people are of nationalities: `brit`, `norwegian`, `german`, `swede`, `dane`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `tulips`, `roses`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves a carnations arrangement.\n2. The person who owns a Toyota Camry is Alice.\n3. The person who owns a BMW 3 Series is somewhere to the right of Arnold.\n4. Arnold is not in the third house.\n5. The Swedish person is in the first house.\n6. The German is the person who loves a bouquet of daffodils.\n7. Arnold is not in the second house.\n8. The Norwegian is the person who owns a Tesla Model 3.\n9. The Dane is somewhere to the left of the person who owns a Ford F-150.\n10. The person who owns a BMW 3 Series is somewhere to the right of the person who loves a carnations arrangement.\n11. Alice is directly left of the person who loves the rose bouquet.\n12. Peter and the person who loves the vase of tulips are next to each other.\n13. The British person is somewhere to the right of the Norwegian.\n14. The person who loves the vase of tulips is Eric.\n15. The person who owns a Ford F-150 is Eric.\n\n\nChoices:\n0. tulips\n1. carnations\n2. daffodils\n3. lilies\n4. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique favorite sports: `basketball`, `soccer`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. The person whose favorite color is red is not in the second house.\n2. The person who loves soccer is Eric.\n3. The person who loves beach vacations is not in the first house.\n4. The person who loves mystery books is not in the first house.\n5. The person whose favorite color is red is the person who loves basketball.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - The people are of nationalities: `brit`, `swede`, `norwegian`, `dane`\n - They all have a unique favorite flower: `carnations`, `lilies`, `roses`, `daffodils`\n - Each person has a unique level of education: `high school`, `bachelor`, `master`, `associate`\n\n## Clues:\n1. The Norwegian is directly left of the person who loves the rose bouquet.\n2. The person with a high school diploma is Eric.\n3. Arnold is not in the first house.\n4. The person with an associate's degree is the person who loves a carnations arrangement.\n5. The Dane is not in the third house.\n6. Peter is the person who loves the rose bouquet.\n7. The Swedish person and the Norwegian are next to each other.\n8. Eric is in the second house.\n9. The person who loves the boquet of lilies is the person with a master's degree.\n10. The person who loves the boquet of lilies is the Swedish person.\n\n\nChoices:\n0. lilies\n1. carnations\n2. roses\n3. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique type of pet: `bird`, `dog`, `hamster`, `fish`, `cat`\n - People have unique favorite book genres: `fantasy`, `romance`, `science fiction`, `biography`, `mystery`\n - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `baseball`, `swimming`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`, `blends`, `dunhill`\n\n## Clues:\n1. The Dunhill smoker is in the fifth house.\n2. The person with an aquarium of fish is directly left of the person who loves biography books.\n3. The person who loves mystery books is somewhere to the left of Arnold.\n4. The person who smokes many unique blends is the person who loves soccer.\n5. The person who loves romance books is directly left of the person who smokes Blue Master.\n6. Arnold is somewhere to the right of the person who loves fantasy books.\n7. Alice is not in the third house.\n8. The person who loves fantasy books is Peter.\n9. The person partial to Pall Mall is somewhere to the left of Eric.\n10. The person who keeps a pet bird is in the second house.\n11. The person who smokes many unique blends is the person with a pet hamster.\n12. Eric is directly left of the person who loves tennis.\n13. The person who loves tennis is in the fifth house.\n14. The person who loves swimming is directly left of the person who keeps a pet bird.\n15. The person partial to Pall Mall is the person who loves baseball.\n16. The person who has a cat and Arnold are next to each other.\n\n\nChoices:\n0. dunhill\n1. pall mall\n2. blends\n3. prince\n4. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - People have unique favorite music genres: `classical`, `jazz`, `pop`, `rock`\n\n## Clues:\n1. The person who loves pop music is somewhere to the right of Arnold.\n2. Alice and the person who loves rock music are next to each other.\n3. Arnold is in the third house.\n4. Peter is the person who loves pop music.\n5. The person who loves jazz music is not in the first house.\n6. The person who loves rock music is Arnold.\n\n\nChoices:\n0. pop\n1. rock\n2. jazz\n3. classical\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `tesla model 3`, `ford f150`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. The person who keeps horses is in the second house.\n2. The person who loves basketball is somewhere to the left of the person who loves eating grilled cheese.\n3. Arnold is directly left of the person who owns a Ford F-150.\n\n\nChoices:\n0. cat\n1. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Each person has a unique type of pet: `hamster`, `dog`, `bird`, `cat`, `fish`\n\n## Clues:\n1. The person who owns a dog is in the third house.\n2. The person with a pet hamster is in the second house.\n3. Peter is the person who owns a dog.\n4. The person with a pet hamster is somewhere to the right of the person with an aquarium of fish.\n5. Peter is directly left of the person who has a cat.\n6. Bob is in the first house.\n7. Peter is directly left of Arnold.\n8. Eric is directly left of the person who owns a dog.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Peter\n3. Bob\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Peter`, `Eric`\n - People have unique hair colors: `blonde`, `black`, `gray`, `brown`, `red`\n - They all have a unique favorite flower: `tulips`, `carnations`, `daffodils`, `lilies`, `roses`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n\n## Clues:\n1. The person who loves the rose bouquet and the person who loves yellow are next to each other.\n2. The person who loves a carnations arrangement is Peter.\n3. The person who loves the rose bouquet is not in the third house.\n4. The person whose favorite color is green is not in the fifth house.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The person who loves yellow is Eric.\n7. The person who has blonde hair is in the fifth house.\n8. The person who has black hair is directly left of Arnold.\n9. The person who loves yellow is the person who has brown hair.\n10. Alice is the person whose favorite color is green.\n11. The person who has red hair is the person who loves blue.\n12. The person whose favorite color is red is somewhere to the right of the person who loves blue.\n13. The person who has black hair is the person who loves the vase of tulips.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Alice\n3. Bob\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n\n## Clues:\n1. Peter is somewhere to the left of the person living in a colonial-style house.\n2. The person in a ranch-style home is Arnold.\n3. The person with an associate's degree is in the second house.\n4. The person who loves soccer is in the first house.\n5. The person who loves basketball is not in the third house.\n6. Peter is somewhere to the right of Arnold.\n7. Arnold is somewhere to the left of the person with a bachelor's degree.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. The person who owns a dog is directly left of Arnold.\n2. The person who uses an iPhone 13 is the person who has a cat.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `tesla model 3`, `ford f150`, `toyota camry`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the first house.\n2. The person who owns a Tesla Model 3 is the person who is a teacher.\n3. The person who loves basketball is in the first house.\n4. The person partial to Pall Mall is the person who is a teacher.\n5. Arnold is in the second house.\n6. Arnold is somewhere to the right of the Prince smoker.\n7. The person who loves tennis is Arnold.\n8. The person who is an engineer is Arnold.\n9. Eric is the person partial to Pall Mall.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `black`, `brown`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n\n## Clues:\n1. The person's child is named Bella is Eric.\n2. The person's child is named Fred is the person who is a pizza lover.\n3. Arnold is in the first house.\n4. The person who has black hair is directly left of the person living in a colonial-style house.\n\n\nChoices:\n0. brown\n1. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n - People use unique phone models: `samsung galaxy s21`, `google pixel 6`, `iphone 13`\n\n## Clues:\n1. Eric is in the second house.\n2. The person who uses a Samsung Galaxy S21 is somewhere to the right of Arnold.\n3. The person who uses a Samsung Galaxy S21 is the person who owns a Ford F-150.\n4. There is one house between the person who uses an iPhone 13 and the person who uses a Google Pixel 6.\n5. The person who owns a Tesla Model 3 is somewhere to the left of the person who uses a Google Pixel 6.\n\n\nChoices:\n0. toyota camry\n1. tesla model 3\n2. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Samantha`, `Fred`, `Timothy`\n - People have unique favorite music genres: `classical`, `hip hop`, `pop`, `jazz`, `rock`\n - Everyone has a favorite smoothie: `watermelon`, `lime`, `dragonfruit`, `cherry`, `desert`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`, `cruise`, `camping`\n\n## Clues:\n1. The person who loves rock music is somewhere to the left of the person who loves classical music.\n2. The person who loves beach vacations and the person who loves rock music are next to each other.\n3. Eric is the person who is the mother of Timothy.\n4. The person who drinks Lime smoothies is not in the second house.\n5. The Watermelon smoothie lover is somewhere to the left of the person who loves rock music.\n6. Alice is the person who loves beach vacations.\n7. The Dragonfruit smoothie lover is somewhere to the right of Peter.\n8. The person who loves jazz music is the person's child is named Samantha.\n9. Bob is the person's child is named Samantha.\n10. Alice is somewhere to the left of Eric.\n11. The person who loves pop music is the person who likes going on cruises.\n12. The person's child is named Fred is in the fifth house.\n13. The person who prefers city breaks is the person who loves jazz music.\n14. The Dragonfruit smoothie lover is the person's child is named Samantha.\n15. The person's child is named Meredith is the person who likes going on cruises.\n16. The Desert smoothie lover is somewhere to the left of the person who likes Cherry smoothies.\n17. The person who enjoys mountain retreats is not in the fifth house.\n18. The person who drinks Lime smoothies is directly left of the Desert smoothie lover.\n\n\nChoices:\n0. Samantha\n1. Fred\n2. Bella\n3. Meredith\n4. Timothy\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Janelle`, `Aniya`\n - They all have a unique favorite flower: `carnations`, `roses`, `lilies`, `daffodils`\n\n## Clues:\n1. Alice is The person whose mother's name is Kailyn.\n2. The person whose mother's name is Janelle is somewhere to the right of Arnold.\n3. Peter is somewhere to the right of the person who loves a carnations arrangement.\n4. Eric is the person who loves a bouquet of daffodils.\n5. Arnold is The person whose mother's name is Holly.\n6. The person who loves a carnations arrangement is somewhere to the right of The person whose mother's name is Holly.\n7. The person who loves the boquet of lilies is directly left of Alice.\n8. Alice is in the third house.\n\n\nChoices:\n0. Aniya\n1. Kailyn\n2. Holly\n3. Janelle\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n\n## Clues:\n1. Arnold is the person who enjoys mountain retreats.\n2. The person who loves mystery books is not in the second house.\n3. The person whose birthday is in April is not in the first house.\n4. The person who loves beach vacations is directly left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a favorite color: `yellow`, `red`\n\n## Clues:\n1. Eric is the person who loves yellow.\n2. The person whose birthday is in April is in the first house.\n3. The person who loves yellow is not in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People own unique car models: `toyota camry`, `ford f150`, `tesla model 3`\n - The people are of nationalities: `brit`, `swede`, `dane`\n\n## Clues:\n1. The Swedish person is the person who owns a Tesla Model 3.\n2. The person who owns a Toyota Camry is not in the first house.\n3. The person who owns a Tesla Model 3 is directly left of the person who owns a Ford F-150.\n4. The Swedish person and Peter are next to each other.\n5. The Swedish person is Eric.\n6. The British person is in the third house.\n\n\nChoices:\n0. brit\n1. dane\n2. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The people keep unique animals: `cat`, `horse`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - Each person has a unique type of pet: `cat`, `dog`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. Arnold and the person who uses a Samsung Galaxy S21 are next to each other.\n2. The person partial to Pall Mall and Eric are next to each other.\n3. The person who owns a dog is directly left of Eric.\n4. The cat lover and the person who uses a Samsung Galaxy S21 are next to each other.\n\n\nChoices:\n0. pall mall\n1. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - The people are of nationalities: `brit`, `swede`, `norwegian`, `dane`\n - They all have a unique favorite flower: `carnations`, `lilies`, `roses`, `daffodils`\n - Each person has a unique level of education: `high school`, `bachelor`, `master`, `associate`\n\n## Clues:\n1. The Norwegian is directly left of the person who loves the rose bouquet.\n2. The person with a high school diploma is Eric.\n3. Arnold is not in the first house.\n4. The person with an associate's degree is the person who loves a carnations arrangement.\n5. The Dane is not in the third house.\n6. Peter is the person who loves the rose bouquet.\n7. The Swedish person and the Norwegian are next to each other.\n8. Eric is in the second house.\n9. The person who loves the boquet of lilies is the person with a master's degree.\n10. The person who loves the boquet of lilies is the Swedish person.\n\n\nChoices:\n0. high school\n1. bachelor\n2. master\n3. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique type of pet: `dog`, `cat`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. Arnold is somewhere to the right of the person who has a cat.\n2. The person who is short is the person who has a cat.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `high school`, `associate`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person with an associate's degree is in the first house.\n2. The person whose mother's name is Holly is Arnold.\n3. The person whose mother's name is Holly is not in the second house.\n\n\nChoices:\n0. Aniya\n1. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`\n - People have unique favorite music genres: `rock`, `pop`, `classical`\n\n## Clues:\n1. Eric is the person who loves cooking.\n2. Eric is not in the second house.\n3. The person who loves pop music and the person who loves rock music are next to each other.\n4. The person who loves rock music and the person who enjoys gardening are next to each other.\n5. The person who enjoys gardening is the person who loves classical music.\n6. Eric is not in the third house.\n7. Peter is the person who enjoys gardening.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - People have unique heights: `tall`, `very short`, `average`, `short`\n - Each person has a unique favorite drink: `tea`, `coffee`, `water`, `milk`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`, `Samantha`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`, `Kailyn`\n\n## Clues:\n1. The person who is tall is Arnold.\n2. The person's child is named Samantha is the tea drinker.\n3. The person whose mother's name is Holly is the coffee drinker.\n4. The person's child is named Samantha and The person whose mother's name is Holly are next to each other.\n5. The person's child is named Meredith and the person who is very short are next to each other.\n6. The person's child is named Samantha is The person whose mother's name is Aniya.\n7. The person who likes milk is the person who is short.\n8. Alice is the person's child is named Fred.\n9. Peter and the person who is very short are next to each other.\n10. The coffee drinker is somewhere to the right of the person's child is named Samantha.\n11. Eric is the person who is short.\n12. The person whose mother's name is Janelle is somewhere to the left of The person whose mother's name is Kailyn.\n13. Alice is The person whose mother's name is Kailyn.\n14. The person's child is named Meredith is not in the first house.\n\n\nChoices:\n0. Meredith\n1. Fred\n2. Bella\n3. Samantha\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n\n## Clues:\n1. The person who loves mystery books is directly left of Peter.\n2. The Swedish person is the person who likes milk.\n3. Arnold is the Dane.\n4. Eric is somewhere to the left of the tea drinker.\n5. Eric is not in the first house.\n6. Peter is the person who loves science fiction books.\n\n\nChoices:\n0. brit\n1. swede\n2. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - The people are of nationalities: `dane`, `brit`\n - Each person has a unique level of education: `associate`, `high school`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. Eric is not in the first house.\n2. The British person is in the second house.\n3. Eric is the person with a high school diploma.\n4. The person partial to Pall Mall is the British person.\n5. The person who owns a Tesla Model 3 is the person partial to Pall Mall.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a favorite color: `red`, `yellow`, `green`, `white`\n - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Kailyn`, `Aniya`\n\n## Clues:\n1. The person who loves yellow is not in the second house.\n2. Alice is not in the second house.\n3. The person who loves white is Peter.\n4. Alice is the person whose favorite color is green.\n5. Peter is in the first house.\n6. Arnold is in the fourth house.\n7. The person whose mother's name is Aniya is not in the second house.\n8. The person who loves yellow is The person whose mother's name is Holly.\n9. The person whose mother's name is Janelle is the person who loves white.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Arnold\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - People have unique favorite music genres: `rock`, `pop`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite book genres: `science fiction`, `mystery`\n\n## Clues:\n1. Eric is somewhere to the right of the person who loves rock music.\n2. The person who loves a carnations arrangement is not in the second house.\n3. Eric is the person who loves eating grilled cheese.\n4. The person who loves a bouquet of daffodils is the person who loves science fiction books.\n\n\nChoices:\n0. pop\n1. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Peter`, `Arnold`, `Alice`\n - The people keep unique animals: `horse`, `dog`, `cat`, `fish`, `bird`\n - Each person has a unique birthday month: `sept`, `april`, `jan`, `mar`, `feb`\n\n## Clues:\n1. The dog owner is in the first house.\n2. The person whose birthday is in February is Eric.\n3. The person whose birthday is in April is in the first house.\n4. Arnold is somewhere to the right of the person whose birthday is in January.\n5. The dog owner is somewhere to the left of Peter.\n6. Alice is somewhere to the left of the person whose birthday is in September.\n7. The fish enthusiast is directly left of Alice.\n8. The bird keeper is not in the fourth house.\n9. The person who keeps horses is somewhere to the right of Arnold.\n10. Peter is somewhere to the left of the person whose birthday is in February.\n11. There is one house between the person whose birthday is in April and the person whose birthday is in January.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`, `bmw 3 series`\n - The people are of nationalities: `brit`, `norwegian`, `german`, `swede`, `dane`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `tulips`, `roses`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves a carnations arrangement.\n2. The person who owns a Toyota Camry is Alice.\n3. The person who owns a BMW 3 Series is somewhere to the right of Arnold.\n4. Arnold is not in the third house.\n5. The Swedish person is in the first house.\n6. The German is the person who loves a bouquet of daffodils.\n7. Arnold is not in the second house.\n8. The Norwegian is the person who owns a Tesla Model 3.\n9. The Dane is somewhere to the left of the person who owns a Ford F-150.\n10. The person who owns a BMW 3 Series is somewhere to the right of the person who loves a carnations arrangement.\n11. Alice is directly left of the person who loves the rose bouquet.\n12. Peter and the person who loves the vase of tulips are next to each other.\n13. The British person is somewhere to the right of the Norwegian.\n14. The person who loves the vase of tulips is Eric.\n15. The person who owns a Ford F-150 is Eric.\n\n\nChoices:\n0. carnations\n1. roses\n2. tulips\n3. daffodils\n4. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`, `Bob`\n - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`\n - The people are of nationalities: `norwegian`, `dane`, `swede`, `german`, `brit`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `roses`, `carnations`, `tulips`\n\n## Clues:\n1. There is one house between the person who loves the rose bouquet and the person who is an artist.\n2. The person who is an engineer is in the second house.\n3. The Swedish person is the person who is an artist.\n4. The Dane is somewhere to the right of Bob.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The Dane is the person who is a doctor.\n7. The person who loves the boquet of lilies is not in the fourth house.\n8. The person who loves the rose bouquet is Peter.\n9. The person who is an engineer is somewhere to the left of the person who is a teacher.\n10. The Norwegian is in the third house.\n11. Arnold is the British person.\n12. The person who loves a carnations arrangement is the Dane.\n13. Alice is the Norwegian.\n\n\nChoices:\n0. lilies\n1. tulips\n2. daffodils\n3. roses\n4. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Peter`, `Eric`\n - People have unique hair colors: `blonde`, `black`, `gray`, `brown`, `red`\n - They all have a unique favorite flower: `tulips`, `carnations`, `daffodils`, `lilies`, `roses`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n\n## Clues:\n1. The person who loves the rose bouquet and the person who loves yellow are next to each other.\n2. The person who loves a carnations arrangement is Peter.\n3. The person who loves the rose bouquet is not in the third house.\n4. The person whose favorite color is green is not in the fifth house.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The person who loves yellow is Eric.\n7. The person who has blonde hair is in the fifth house.\n8. The person who has black hair is directly left of Arnold.\n9. The person who loves yellow is the person who has brown hair.\n10. Alice is the person whose favorite color is green.\n11. The person who has red hair is the person who loves blue.\n12. The person whose favorite color is red is somewhere to the right of the person who loves blue.\n13. The person who has black hair is the person who loves the vase of tulips.\n\n\nChoices:\n0. daffodils\n1. lilies\n2. roses\n3. carnations\n4. tulips\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `milk`, `water`, `coffee`, `tea`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`\n\n## Clues:\n1. Eric is somewhere to the right of Peter.\n2. The coffee drinker and the one who only drinks water are next to each other.\n3. The person who uses a Google Pixel 6 is the coffee drinker.\n4. The tea drinker is in the second house.\n5. Arnold is in the third house.\n6. The person who likes milk and the person who uses an iPhone 13 are next to each other.\n7. The one who only drinks water is Alice.\n8. The one who only drinks water is the person who uses a OnePlus 9.\n\n\nChoices:\n0. iphone 13\n1. google pixel 6\n2. samsung galaxy s21\n3. oneplus 9\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`\n\n## Clues:\n1. The person living in a colonial-style house is somewhere to the left of Eric.\n2. Arnold is the person living in a colonial-style house.\n3. Eric is not in the third house.\n4. The person residing in a Victorian house is in the second house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - The people keep unique animals: `horse`, `cat`, `fish`, `bird`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `samsung galaxy s21`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n - Each person lives in a unique style of house: `colonial`, `victorian`, `ranch`, `craftsman`\n\n## Clues:\n1. The fish enthusiast is the person who uses an iPhone 13.\n2. Alice is in the fourth house.\n3. Peter is in the first house.\n4. The person residing in a Victorian house is the person whose favorite color is red.\n5. The person who loves white is the person in a Craftsman-style house.\n6. The person whose favorite color is green is in the fourth house.\n7. The person living in a colonial-style house is Eric.\n8. The bird keeper is Peter.\n9. The person who uses a Google Pixel 6 is in the fourth house.\n10. The person who loves white is the person who uses a Samsung Galaxy S21.\n11. The person living in a colonial-style house is the cat lover.\n12. Eric is not in the third house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `dunhill`, `pall mall`, `prince`, `blue master`\n - Each person has a unique level of education: `associate`, `high school`, `master`, `bachelor`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`, `painting`\n\n## Clues:\n1. The person with a bachelor's degree is the person who enjoys gardening.\n2. Arnold is somewhere to the left of the person who loves a carnations arrangement.\n3. Eric is not in the second house.\n4. The person who loves a bouquet of daffodils is the person who paints as a hobby.\n5. The person who loves the rose bouquet is the person who smokes Blue Master.\n6. The person partial to Pall Mall is Peter.\n7. Arnold is in the third house.\n8. Peter is directly left of the person who enjoys gardening.\n9. Arnold is the person with a high school diploma.\n10. The person who smokes Blue Master is not in the second house.\n11. The Prince smoker is the photography enthusiast.\n12. The person with a master's degree is somewhere to the left of the person who smokes Blue Master.\n\n\nChoices:\n0. lilies\n1. roses\n2. daffodils\n3. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Samantha`, `Meredith`\n - The people keep unique animals: `cat`, `horse`, `fish`, `bird`\n - Each person has a unique level of education: `bachelor`, `associate`, `master`, `high school`\n\n## Clues:\n1. Arnold is not in the first house.\n2. The bird keeper is not in the fourth house.\n3. The person with a high school diploma is the cat lover.\n4. The person's child is named Bella is the cat lover.\n5. The person with a high school diploma is not in the first house.\n6. Arnold is the person with a master's degree.\n7. The person who keeps horses is directly left of the fish enthusiast.\n8. The person with a bachelor's degree is Peter.\n9. The person's child is named Fred is not in the fourth house.\n10. Eric is somewhere to the right of the cat lover.\n11. Eric is not in the third house.\n12. The person's child is named Samantha is Arnold.\n\n\nChoices:\n0. Meredith\n1. Samantha\n2. Bella\n3. Fred\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n\n## Clues:\n1. The person who enjoys gardening is in the first house.\n2. The person who loves cooking is somewhere to the left of Eric.\n3. Peter is in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a favorite color: `white`, `red`, `yellow`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`\n\n## Clues:\n1. Eric is the Prince smoker.\n2. The Prince smoker is in the first house.\n3. The person who prefers city breaks is Arnold.\n4. The person whose favorite color is red is in the second house.\n5. Arnold is the person who smokes Blue Master.\n6. The person who enjoys mountain retreats is the person whose favorite color is red.\n7. The person who smokes Blue Master is the person who loves soccer.\n8. The person who loves basketball is the person who loves yellow.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n - Each person lives in a unique style of house: `craftsman`, `modern`, `colonial`, `victorian`, `ranch`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `biography`, `romance`, `mystery`\n\n## Clues:\n1. Alice is not in the fourth house.\n2. Arnold is not in the fourth house.\n3. The person who loves blue is Bob.\n4. The person who loves white is in the fifth house.\n5. The person who loves romance books is not in the fifth house.\n6. The person who loves science fiction books is not in the fifth house.\n7. The person whose favorite color is green is not in the fourth house.\n8. The person who loves romance books is somewhere to the right of the person in a ranch-style home.\n9. The person residing in a Victorian house is in the first house.\n10. The person whose favorite color is red is in the second house.\n11. The person in a modern-style house is somewhere to the right of Arnold.\n12. Eric is the person living in a colonial-style house.\n13. The person who loves science fiction books is somewhere to the right of Bob.\n14. The person who loves fantasy books is the person residing in a Victorian house.\n15. The person in a Craftsman-style house is not in the fifth house.\n16. The person who loves biography books is the person whose favorite color is red.\n17. Eric is in the third house.\n18. The person who loves romance books is somewhere to the right of Eric.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Bob\n3. Peter\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`\n - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person who loves eating grilled cheese.\n2. Arnold is not in the first house.\n3. Peter is directly left of the person who enjoys gardening.\n4. The person who loves eating grilled cheese and Peter are next to each other.\n5. There are two houses between the person who loves jazz music and Arnold.\n6. The person who loves cooking is the person who loves rock music.\n7. The person who loves pop music is the person who paints as a hobby.\n8. The person who paints as a hobby is Alice.\n9. The person who enjoys gardening is the person who loves the spaghetti eater.\n\n\nChoices:\n0. painting\n1. cooking\n2. gardening\n3. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `watermelon`\n\n## Clues:\n1. The Desert smoothie lover is the person who enjoys gardening.\n2. The photography enthusiast is the Swedish person.\n3. Peter is somewhere to the left of the Desert smoothie lover.\n4. The person who is a pizza lover is in the third house.\n5. The person who enjoys gardening is the Dane.\n6. There is one house between the person who loves eating grilled cheese and Arnold.\n7. Arnold is the Swedish person.\n8. The Watermelon smoothie lover is somewhere to the left of the person who likes Cherry smoothies.\n\n\nChoices:\n0. swede\n1. dane\n2. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - Each mother is accompanied by their child: `Samantha`, `Meredith`, `Fred`, `Bella`\n - People have unique hair colors: `red`, `black`, `brown`, `blonde`\n\n## Clues:\n1. The person who has red hair is directly left of Eric.\n2. The person's child is named Meredith is directly left of the person who has brown hair.\n3. The person who has blonde hair is the person's child is named Fred.\n4. Peter is in the fourth house.\n5. The person who has black hair is directly left of Arnold.\n6. The person's child is named Bella is Arnold.\n\n\nChoices:\n0. Fred\n1. Bella\n2. Samantha\n3. Meredith\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Bob`, `Alice`, `Arnold`\n - People have unique heights: `very short`, `average`, `tall`, `short`, `very tall`\n - People own unique car models: `toyota camry`, `bmw 3 series`, `honda civic`, `ford f150`, `tesla model 3`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`\n\n## Clues:\n1. Arnold is in the fifth house.\n2. The person who is short is the person who owns a Tesla Model 3.\n3. The person who has an average height is somewhere to the right of Alice.\n4. The person who owns a Honda Civic is not in the third house.\n5. The person who owns a BMW 3 Series is directly left of Arnold.\n6. The person who uses a OnePlus 9 is directly left of the person who owns a Ford F-150.\n7. Alice is directly left of the person who is very short.\n8. The person who uses an iPhone 13 is not in the second house.\n9. The person who uses a Google Pixel 6 is Arnold.\n10. The person who uses a Google Pixel 6 is the person who is tall.\n11. Peter is the person who uses a Huawei P50.\n12. Peter is directly left of the person who uses a OnePlus 9.\n13. Bob is the person who owns a Tesla Model 3.\n\n\nChoices:\n0. honda civic\n1. bmw 3 series\n2. toyota camry\n3. ford f150\n4. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Samantha`, `Fred`, `Meredith`, `Bella`\n - Each person lives in a unique style of house: `craftsman`, `ranch`, `victorian`, `colonial`\n\n## Clues:\n1. The person residing in a Victorian house is Arnold.\n2. The person in a ranch-style home is the person's child is named Samantha.\n3. The person's child is named Meredith is directly left of Peter.\n4. Arnold and the person's child is named Meredith are next to each other.\n5. Alice is directly left of the person's child is named Bella.\n6. The person's child is named Samantha is not in the first house.\n7. The person's child is named Bella is in the second house.\n8. The person's child is named Meredith is the person in a Craftsman-style house.\n\n\nChoices:\n0. victorian\n1. ranch\n2. craftsman\n3. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - The people keep unique animals: `fish`, `cat`, `bird`, `horse`, `dog`\n - Each person has a unique level of education: `doctorate`, `associate`, `bachelor`, `master`, `high school`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`, `tulips`\n\n## Clues:\n1. The person with an associate's degree is not in the first house.\n2. Arnold is directly left of Alice.\n3. The bird keeper is somewhere to the right of Peter.\n4. Eric is in the second house.\n5. The fish enthusiast is the person who loves the boquet of lilies.\n6. The fish enthusiast is somewhere to the left of the person with a master's degree.\n7. The person with a high school diploma is directly left of the person who loves the vase of tulips.\n8. The person with a bachelor's degree is not in the fifth house.\n9. The person who keeps horses is somewhere to the left of the person with a high school diploma.\n10. The person with a bachelor's degree is the bird keeper.\n11. The dog owner is the person who loves the rose bouquet.\n12. The person who loves a carnations arrangement is in the third house.\n13. The person with an associate's degree is not in the second house.\n14. Peter is in the third house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Bob\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique level of education: `associate`, `bachelor`, `high school`, `master`, `doctorate`\n - People have unique favorite sports: `swimming`, `basketball`, `tennis`, `baseball`, `soccer`\n - Each person prefers a unique type of vacation: `camping`, `cruise`, `city`, `mountain`, `beach`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. The person who uses a Huawei P50 is not in the second house.\n2. The person with a master's degree is the person who uses a Google Pixel 6.\n3. The person who loves swimming is the person with a high school diploma.\n4. The person with a bachelor's degree is directly left of the person who loves tennis.\n5. The person who enjoys camping trips is the person who loves tennis.\n6. Bob is the person who uses a Samsung Galaxy S21.\n7. The person with a high school diploma is not in the third house.\n8. The person who loves swimming is directly left of the person who loves beach vacations.\n9. The person who likes going on cruises is Arnold.\n10. Bob is the person with an associate's degree.\n11. The person who uses a OnePlus 9 is directly left of the person who loves basketball.\n12. The person who enjoys camping trips and the person who prefers city breaks are next to each other.\n13. Eric is the person who loves swimming.\n14. The person who loves basketball is the person who enjoys mountain retreats.\n15. The person who loves tennis is somewhere to the left of Alice.\n16. Arnold is the person who loves soccer.\n\n\nChoices:\n0. bachelor\n1. associate\n2. doctorate\n3. master\n4. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `city`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. Peter is somewhere to the right of the person who loves beach vacations.\n3. Peter is the person who prefers city breaks.\n4. The person who loves mystery books is somewhere to the left of the person who loves beach vacations.\n5. The person who loves science fiction books is the person who loves beach vacations.\n\n\nChoices:\n0. mountain\n1. beach\n2. city\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - The people keep unique animals: `horse`, `bird`, `cat`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Janelle`\n\n## Clues:\n1. The bird keeper is somewhere to the left of Eric.\n2. The bird keeper is directly left of the Prince smoker.\n3. The person partial to Pall Mall is Arnold.\n4. Eric is not in the third house.\n5. The person partial to Pall Mall is the cat lover.\n6. The person whose mother's name is Aniya is the bird keeper.\n7. The person whose mother's name is Janelle is not in the second house.\n\n\nChoices:\n0. cat\n1. horse\n2. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Meredith`, `Fred`, `Samantha`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person's child is named Samantha.\n2. The person whose favorite color is red is directly left of the person who loves white.\n3. Eric is somewhere to the right of the person who loves the stew.\n4. The person who loves white is in the fourth house.\n5. The person whose favorite color is green is not in the second house.\n6. The person whose favorite color is red is the person's child is named Bella.\n7. The person who loves eating grilled cheese is in the second house.\n8. There is one house between the person's child is named Meredith and Alice.\n9. There is one house between Peter and Alice.\n10. Alice is not in the third house.\n\n\nChoices:\n0. Bella\n1. Fred\n2. Meredith\n3. Samantha\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves pop music is Arnold.\n2. Arnold is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person who prefers city breaks is in the third house.\n2. The person who loves beach vacations is the person who owns a dog.\n3. The person with an aquarium of fish is directly left of the person who loves tennis.\n4. Arnold is the person who owns a dog.\n5. The person who enjoys mountain retreats and Eric are next to each other.\n6. The person who loves soccer is Arnold.\n\n\nChoices:\n0. basketball\n1. soccer\n2. tennis\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`, `Bob`\n - Each person has a unique type of pet: `fish`, `bird`, `cat`, `dog`, `hamster`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`, `huawei p50`, `oneplus 9`\n - People have unique heights: `short`, `very tall`, `very short`, `tall`, `average`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Samantha`, `Timothy`, `Bella`\n\n## Clues:\n1. The person with an aquarium of fish is Arnold.\n2. The person who uses a Huawei P50 is not in the fifth house.\n3. The person with an aquarium of fish is in the fourth house.\n4. The person who uses a Samsung Galaxy S21 is in the second house.\n5. The person's child is named Bella is the person who owns a dog.\n6. Arnold is somewhere to the left of the person with a pet hamster.\n7. The person who uses a Google Pixel 6 is directly left of the person's child is named Meredith.\n8. The person's child is named Bella is directly left of the person who is short.\n9. The person who keeps a pet bird is somewhere to the left of the person's child is named Bella.\n10. The person who has an average height and the person who uses a OnePlus 9 are next to each other.\n11. Alice is the person who has a cat.\n12. Bob is somewhere to the right of the person who is very short.\n13. The person who uses a Google Pixel 6 is not in the fourth house.\n14. Eric is the person who uses an iPhone 13.\n15. The person's child is named Fred is the person who keeps a pet bird.\n16. The person who is very tall is in the first house.\n17. There is one house between the person who uses an iPhone 13 and the person who is the mother of Timothy.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n3. Alice\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People own unique car models: `toyota camry`, `tesla model 3`, `ford f150`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n\n## Clues:\n1. The person who loves science fiction books is directly left of the person who is a teacher.\n2. Arnold is in the third house.\n3. The person who owns a Ford F-150 is the person who is a teacher.\n4. The person who is an engineer is the person who owns a Toyota Camry.\n5. The person who is an engineer is somewhere to the right of the person who is a teacher.\n6. The person who loves mystery books is the person who is a teacher.\n7. The person who loves science fiction books is Eric.\n\n\nChoices:\n0. ford f150\n1. toyota camry\n2. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `milk`, `tea`, `water`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - The people keep unique animals: `bird`, `horse`, `cat`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`\n\n## Clues:\n1. The person who loves mystery books is the person who loves tennis.\n2. The person who loves tennis is the tea drinker.\n3. There is one house between the person who keeps horses and the bird keeper.\n4. Peter is the person who likes milk.\n5. Eric is the person who keeps horses.\n6. The person who loves soccer is in the third house.\n7. The person who loves science fiction books is the person who loves basketball.\n8. The tea drinker is Arnold.\n9. The person who likes milk is the person who loves soccer.\n\n\nChoices:\n0. horse\n1. bird\n2. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a favorite color: `yellow`, `red`, `white`, `green`\n - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `pall mall`, `prince`\n - Each person has a unique level of education: `high school`, `associate`, `master`, `bachelor`\n\n## Clues:\n1. The person whose favorite color is green is somewhere to the left of the person with a high school diploma.\n2. Eric is the person whose favorite color is red.\n3. There are two houses between Alice and the person who loves white.\n4. The person who smokes Blue Master and the person partial to Pall Mall are next to each other.\n5. The person who loves white is the person with a master's degree.\n6. Arnold is in the fourth house.\n7. The person who loves yellow is the person who smokes Blue Master.\n8. The Dunhill smoker is Alice.\n9. The person partial to Pall Mall is the person with a master's degree.\n10. The person who loves yellow is the person with a bachelor's degree.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `city`\n - The people keep unique animals: `cat`, `horse`, `bird`\n - People have unique heights: `average`, `short`, `very short`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n\n## Clues:\n1. The bird keeper is in the second house.\n2. The person who is very short is the person who enjoys mountain retreats.\n3. The person's child is named Meredith is somewhere to the left of the person who prefers city breaks.\n4. Peter is somewhere to the left of the cat lover.\n5. The person's child is named Fred is the person who has an average height.\n6. The person's child is named Meredith is somewhere to the right of the person who is very short.\n7. Arnold is the person who is very short.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`\n - The people keep unique animals: `horse`, `bird`, `cat`, `fish`\n\n## Clues:\n1. Arnold is the cat lover.\n2. The bird keeper is not in the second house.\n3. The person who keeps horses is Eric.\n4. Eric is somewhere to the right of the bird keeper.\n5. There is one house between Arnold and Alice.\n6. The cat lover is in the first house.\n\n\nChoices:\n0. bird\n1. horse\n2. fish\n3. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique type of pet: `dog`, `cat`, `fish`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n - People have unique favorite music genres: `pop`, `classical`, `rock`\n\n## Clues:\n1. The person who loves cooking is the person who loves pop music.\n2. The person who loves pop music is not in the first house.\n3. The photography enthusiast is Peter.\n4. The person who loves rock music is in the second house.\n5. The person who enjoys gardening is directly left of the person with an aquarium of fish.\n6. Eric is the person who has a cat.\n7. The person who has a cat is in the first house.\n\n\nChoices:\n0. cat\n1. dog\n2. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - People have unique favorite book genres: `science fiction`, `romance`, `fantasy`, `mystery`, `biography`\n\n## Clues:\n1. Alice is the person who loves science fiction books.\n2. Arnold is not in the first house.\n3. Arnold is not in the third house.\n4. The person who loves biography books is directly left of the person who loves romance books.\n5. Peter is the person who loves mystery books.\n6. Peter is directly left of Alice.\n7. Eric is the person who loves romance books.\n8. Eric is not in the third house.\n9. The person who loves science fiction books is somewhere to the right of the person who loves fantasy books.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Bob\n3. Alice\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n - The people keep unique animals: `cat`, `bird`, `horse`\n\n## Clues:\n1. The person with an associate's degree is Eric.\n2. The person who enjoys mountain retreats is in the second house.\n3. Arnold is somewhere to the right of the cat lover.\n4. The bird keeper is the person who enjoys mountain retreats.\n5. The person with a high school diploma is somewhere to the right of the person who loves beach vacations.\n6. The person with a high school diploma is in the third house.\n7. The person with an associate's degree is not in the first house.\n\n\nChoices:\n0. mountain\n1. beach\n2. city\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - People have unique favorite book genres: `romance`, `mystery`, `fantasy`, `science fiction`\n - People have unique favorite sports: `soccer`, `basketball`, `swimming`, `tennis`\n\n## Clues:\n1. The person who loves romance books is the person who loves tennis.\n2. Alice is the person who loves swimming.\n3. There are two houses between the person who loves soccer and the person who loves fantasy books.\n4. The person who loves swimming is in the second house.\n5. Eric is the person who loves basketball.\n6. The person who loves mystery books is somewhere to the left of Alice.\n7. The person who loves tennis is somewhere to the right of Peter.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person whose birthday is in April is not in the third house.\n2. There is one house between the person who enjoys mountain retreats and the person who loves beach vacations.\n3. The person who loves soccer is Peter.\n4. The person who loves tennis is the person who prefers city breaks.\n5. Eric is directly left of the person who loves tennis.\n6. The person who loves beach vacations is the person who loves soccer.\n7. The person who prefers city breaks is the person whose birthday is in January.\n\n\nChoices:\n0. april\n1. sept\n2. jan\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people are of nationalities: `brit`, `dane`\n - The people keep unique animals: `horse`, `cat`\n - Each person has a unique type of pet: `cat`, `dog`\n\n## Clues:\n1. The person who owns a dog is somewhere to the left of the Dane.\n2. The Dane is Eric.\n3. The person who keeps horses is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - People have unique favorite book genres: `romance`, `mystery`, `fantasy`, `science fiction`\n - People have unique heights: `tall`, `very short`, `short`, `average`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - Each person has a favorite color: `red`, `green`, `yellow`, `white`\n\n## Clues:\n1. Arnold is not in the fourth house.\n2. Peter is the person who loves mystery books.\n3. The person who likes Cherry smoothies is somewhere to the right of the Desert smoothie lover.\n4. The person who loves science fiction books is directly left of Eric.\n5. The Desert smoothie lover is the person who is very short.\n6. The person who loves white is the person who loves mystery books.\n7. The person who loves fantasy books is the person who loves yellow.\n8. The Desert smoothie lover is somewhere to the right of the person who is short.\n9. The Dragonfruit smoothie lover and the person whose favorite color is green are next to each other.\n10. The Dragonfruit smoothie lover is the person who loves mystery books.\n11. The person who loves yellow is in the second house.\n12. The person who likes Cherry smoothies is not in the third house.\n13. The person who has an average height is the person who likes Cherry smoothies.\n\n\nChoices:\n0. Peter\n1. Alice\n2. Arnold\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`, `fantasy`\n - Each person has an occupation: `engineer`, `teacher`, `artist`, `doctor`\n\n## Clues:\n1. Alice is the person who is an engineer.\n2. Eric is not in the second house.\n3. Eric and the person who is a doctor are next to each other.\n4. The person who loves fantasy books is somewhere to the left of Peter.\n5. The person who loves romance books is not in the fourth house.\n6. The person who loves romance books and the person who is a doctor are next to each other.\n7. The person who is a teacher is in the second house.\n8. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - The people keep unique animals: `cat`, `horse`, `bird`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n\n## Clues:\n1. The bird keeper and the person's child is named Meredith are next to each other.\n2. The person who loves classical music is Arnold.\n3. Eric is the person's child is named Fred.\n4. The person who keeps horses is somewhere to the left of the person's child is named Bella.\n5. The person's child is named Meredith is directly left of Arnold.\n6. The bird keeper is not in the third house.\n7. Arnold is not in the second house.\n8. Eric is the person who loves rock music.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - Everyone has something unique for lunch: `spaghetti`, `stew`, `pizza`, `grilled cheese`\n - The people keep unique animals: `fish`, `horse`, `bird`, `cat`\n\n## Clues:\n1. The fish enthusiast is Alice.\n2. Eric is in the second house.\n3. The person who is a pizza lover is directly left of the fish enthusiast.\n4. Arnold is the bird keeper.\n5. The person who loves eating grilled cheese is Peter.\n6. The cat lover and the person who loves the stew are next to each other.\n7. The person who is a pizza lover is somewhere to the right of Eric.\n\n\nChoices:\n0. stew\n1. grilled cheese\n2. spaghetti\n3. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Bob`, `Arnold`, `Eric`, `Alice`\n - Each person has a favorite color: `red`, `white`, `green`, `blue`, `yellow`\n - Each person has a unique hobby: `gardening`, `cooking`, `painting`, `photography`, `knitting`\n - People have unique heights: `very tall`, `tall`, `average`, `short`, `very short`\n - People have unique hair colors: `black`, `blonde`, `brown`, `gray`, `red`\n\n## Clues:\n1. The person whose favorite color is green is somewhere to the right of the person who has black hair.\n2. The person who has an average height is somewhere to the right of the person who loves blue.\n3. The person who has red hair is Alice.\n4. The person who loves cooking is not in the first house.\n5. The person who loves yellow is the person who has gray hair.\n6. The person who is short is somewhere to the left of the person who loves yellow.\n7. The person who enjoys gardening is the person who loves white.\n8. Arnold is somewhere to the left of the person who has black hair.\n9. The person who is short is somewhere to the right of the person who has blonde hair.\n10. Eric and the person who loves cooking are next to each other.\n11. The person who has black hair is directly left of the person who loves blue.\n12. The person who is very short is the person who has black hair.\n13. Bob is the person who loves blue.\n14. The person who is tall is directly left of the photography enthusiast.\n15. The person who loves white is not in the first house.\n16. The person who loves yellow is the person who enjoys knitting.\n17. The person who loves blue is the person who has blonde hair.\n\n\nChoices:\n0. painting\n1. knitting\n2. photography\n3. gardening\n4. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `teacher`\n - Each person has a unique birthday month: `sept`, `april`, `jan`, `feb`\n - Each person has a favorite color: `red`, `white`, `green`, `yellow`\n\n## Clues:\n1. Arnold is in the first house.\n2. The person whose birthday is in February and the person who is a teacher are next to each other.\n3. The person who is a teacher is the person whose favorite color is red.\n4. The person whose favorite color is red is not in the third house.\n5. The person who loves yellow is directly left of Peter.\n6. The person whose favorite color is green and the person whose favorite color is red are next to each other.\n7. The person who is an engineer is the person whose favorite color is green.\n8. Eric is the person who is a teacher.\n9. The person who loves yellow is not in the second house.\n10. The person whose birthday is in September is somewhere to the left of the person whose favorite color is green.\n11. The person who is a doctor is somewhere to the right of the person whose birthday is in April.\n\n\nChoices:\n0. teacher\n1. artist\n2. engineer\n3. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - The people keep unique animals: `cat`, `horse`, `bird`\n\n## Clues:\n1. The Prince smoker is The person whose mother's name is Janelle.\n2. The person's child is named Bella is somewhere to the left of the person's child is named Meredith.\n3. Peter is the person partial to Pall Mall.\n4. There is one house between the cat lover and Eric.\n5. The person whose mother's name is Aniya is the person's child is named Bella.\n6. The person's child is named Meredith is Peter.\n7. The bird keeper is somewhere to the right of Peter.\n\n\nChoices:\n0. Aniya\n1. Holly\n2. Janelle\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n - Each person has a unique birthday month: `april`, `sept`\n - People have unique favorite book genres: `mystery`, `science fiction`\n\n## Clues:\n1. Eric is in the second house.\n2. Arnold is The person whose mother's name is Holly.\n3. The person who loves science fiction books is the person who loves a bouquet of daffodils.\n4. The person who loves science fiction books is The person whose mother's name is Aniya.\n5. The person whose birthday is in September is the person who loves science fiction books.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - The people keep unique animals: `fish`, `cat`, `bird`, `horse`, `dog`\n - Each person has a unique level of education: `doctorate`, `associate`, `bachelor`, `master`, `high school`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`, `tulips`\n\n## Clues:\n1. The person with an associate's degree is not in the first house.\n2. Arnold is directly left of Alice.\n3. The bird keeper is somewhere to the right of Peter.\n4. Eric is in the second house.\n5. The fish enthusiast is the person who loves the boquet of lilies.\n6. The fish enthusiast is somewhere to the left of the person with a master's degree.\n7. The person with a high school diploma is directly left of the person who loves the vase of tulips.\n8. The person with a bachelor's degree is not in the fifth house.\n9. The person who keeps horses is somewhere to the left of the person with a high school diploma.\n10. The person with a bachelor's degree is the bird keeper.\n11. The dog owner is the person who loves the rose bouquet.\n12. The person who loves a carnations arrangement is in the third house.\n13. The person with an associate's degree is not in the second house.\n14. Peter is in the third house.\n\n\nChoices:\n0. bachelor\n1. associate\n2. high school\n3. master\n4. doctorate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`\n - The people keep unique animals: `horse`, `fish`, `bird`, `cat`\n - People have unique favorite sports: `basketball`, `tennis`, `swimming`, `soccer`\n\n## Clues:\n1. The cat lover is in the third house.\n2. The bird keeper is not in the second house.\n3. The person who loves basketball is Alice.\n4. The person who loves tennis is not in the second house.\n5. The person who keeps horses is the person who loves basketball.\n6. Peter and the bird keeper are next to each other.\n7. The person who loves swimming is somewhere to the right of the fish enthusiast.\n8. The fish enthusiast is Arnold.\n9. The person who loves soccer is the cat lover.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`\n - Each person has a unique favorite drink: `coffee`, `milk`, `tea`, `water`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `dragonfruit`, `watermelon`\n\n## Clues:\n1. The Dragonfruit smoothie lover is the person who likes milk.\n2. The Watermelon smoothie lover is not in the fourth house.\n3. The person who loves eating grilled cheese is directly left of Peter.\n4. The person who loves the stew is Alice.\n5. The person who is a pizza lover is the Dragonfruit smoothie lover.\n6. The tea drinker is directly left of the coffee drinker.\n7. The person who loves the stew is the Watermelon smoothie lover.\n8. The person who likes Cherry smoothies is Eric.\n9. Eric is in the first house.\n10. Alice is somewhere to the right of the person who is a pizza lover.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`, `stew`\n\n## Clues:\n1. Alice is not in the second house.\n2. Eric is in the fourth house.\n3. Arnold is somewhere to the right of the person who loves the spaghetti eater.\n4. The person who loves the stew is in the second house.\n5. Peter is the person who loves the spaghetti eater.\n6. The person who loves eating grilled cheese is in the fourth house.\n\n\nChoices:\n0. stew\n1. spaghetti\n2. grilled cheese\n3. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - The people are of nationalities: `dane`, `swede`, `brit`\n\n## Clues:\n1. The photography enthusiast is the British person.\n2. Arnold is directly left of the British person.\n3. The person who enjoys gardening is somewhere to the right of the Dane.\n4. The Swedish person is the Desert smoothie lover.\n5. The photography enthusiast is somewhere to the left of Eric.\n6. Arnold is directly left of the Watermelon smoothie lover.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. The person who likes Cherry smoothies is the person who owns a dog.\n2. The person residing in a Victorian house is the person who owns a dog.\n3. The person residing in a Victorian house is somewhere to the left of Eric.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - The people keep unique animals: `cat`, `fish`, `bird`, `dog`, `horse`\n - Each person has a unique birthday month: `mar`, `jan`, `feb`, `april`, `sept`\n\n## Clues:\n1. The fish enthusiast and Arnold are next to each other.\n2. The person whose birthday is in February is not in the fourth house.\n3. The person who keeps horses is in the fourth house.\n4. The person whose birthday is in March is somewhere to the left of the dog owner.\n5. Peter is the person whose birthday is in September.\n6. The dog owner is not in the fifth house.\n7. The bird keeper is in the third house.\n8. Peter and the person whose birthday is in February are next to each other.\n9. Bob is not in the third house.\n10. The dog owner is somewhere to the right of Alice.\n11. The person whose birthday is in January is the bird keeper.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Bob\n3. Eric\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is somewhere to the right of Eric.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - People have unique hair colors: `brown`, `red`, `blonde`, `gray`, `black`\n - Each person has a unique type of pet: `fish`, `cat`, `hamster`, `dog`, `bird`\n\n## Clues:\n1. The person who has black hair and Alice are next to each other.\n2. Bob is directly left of Peter.\n3. The person who has blonde hair is in the second house.\n4. Alice is directly left of Eric.\n5. Eric is somewhere to the left of Bob.\n6. The person who has black hair is the person with an aquarium of fish.\n7. The person who has a cat is not in the fourth house.\n8. The person with a pet hamster is in the third house.\n9. The person who keeps a pet bird is the person who has gray hair.\n10. The person who has a cat is the person who has brown hair.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Arnold\n3. Peter\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`\n - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `desert`, `cherry`\n - People have unique hair colors: `red`, `black`, `brown`, `blonde`\n - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`\n\n## Clues:\n1. The person who has red hair is not in the third house.\n2. There is one house between Eric and the person who likes Cherry smoothies.\n3. The person who loves science fiction books is Peter.\n4. The person who loves fantasy books is Alice.\n5. The Dragonfruit smoothie lover is the person who loves pop music.\n6. The Dragonfruit smoothie lover is the person who has red hair.\n7. The Watermelon smoothie lover is somewhere to the right of the person who loves classical music.\n8. The person who has black hair is the person who likes Cherry smoothies.\n9. There is one house between the person who loves pop music and the person who loves fantasy books.\n10. The person who loves romance books is somewhere to the right of the person who loves jazz music.\n11. The person who has red hair is directly left of the person who has black hair.\n12. The person who has brown hair and the Dragonfruit smoothie lover are next to each other.\n13. The person who loves science fiction books is the Dragonfruit smoothie lover.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. Eric is somewhere to the right of the person who loves eating grilled cheese.\n2. The person residing in a Victorian house is not in the second house.\n\n\nChoices:\n0. victorian\n1. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a unique birthday month: `april`, `feb`, `mar`, `jan`, `sept`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `dunhill`, `blends`, `blue master`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`, `root beer`\n\n## Clues:\n1. The root beer lover is Eric.\n2. The person partial to Pall Mall is in the third house.\n3. The person whose birthday is in April is Bob.\n4. The Dunhill smoker is the person whose birthday is in March.\n5. Peter is somewhere to the right of the root beer lover.\n6. There is one house between the person whose birthday is in January and Peter.\n7. The person who smokes many unique blends is the person whose birthday is in February.\n8. The person whose birthday is in February is in the second house.\n9. Arnold is directly left of Peter.\n10. The person who likes milk is not in the fifth house.\n11. The person who smokes Blue Master is the coffee drinker.\n12. There is one house between the tea drinker and the coffee drinker.\n13. Eric is in the third house.\n\n\nChoices:\n0. blends\n1. blue master\n2. prince\n3. dunhill\n4. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - They all have a unique favorite flower: `carnations`, `daffodils`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique heights: `very short`, `short`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is in the first house.\n2. The person who is very short is not in the first house.\n3. The person whose favorite color is red is in the first house.\n4. Eric is not in the second house.\n\n\nChoices:\n0. carnations\n1. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - They all have a unique favorite flower: `roses`, `daffodils`, `carnations`, `lilies`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. Eric is the person who loves romance books.\n3. The person who loves a carnations arrangement is in the first house.\n4. The person who loves a bouquet of daffodils is the person who loves science fiction books.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who enjoys mountain retreats is the person who loves mystery books.\n7. The person who loves science fiction books is Peter.\n8. The person who prefers city breaks is in the second house.\n9. The person who prefers city breaks and the person who loves classical music are next to each other.\n10. The person who loves beach vacations is not in the first house.\n11. The person who loves romance books is the person who loves pop music.\n12. The person who loves romance books is somewhere to the left of Alice.\n13. The person who loves the boquet of lilies is the person who loves mystery books.\n14. Peter is somewhere to the left of Alice.\n\n\nChoices:\n0. classical\n1. rock\n2. jazz\n3. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique favorite drink: `milk`, `water`, `tea`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n\n## Clues:\n1. Arnold is not in the first house.\n2. The person who likes milk is Eric.\n3. The photography enthusiast is not in the first house.\n4. The person who loves cooking is directly left of the person who likes milk.\n5. The one who only drinks water is Arnold.\n6. The person who likes milk is not in the second house.\n\n\nChoices:\n0. milk\n1. water\n2. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `painting`, `photography`, `gardening`\n - Each person has a unique birthday month: `april`, `jan`, `sept`, `feb`\n - Each person has a unique level of education: `master`, `bachelor`, `associate`, `high school`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`\n\n## Clues:\n1. The Desert smoothie lover is the person whose birthday is in January.\n2. Eric is the person with a bachelor's degree.\n3. The person whose birthday is in January is the person with a bachelor's degree.\n4. The person with a high school diploma is in the third house.\n5. The Watermelon smoothie lover is not in the third house.\n6. The person with an associate's degree is Arnold.\n7. The person with a master's degree is the person who paints as a hobby.\n8. There is one house between the Dragonfruit smoothie lover and the person whose birthday is in September.\n9. The person with a high school diploma is the person whose birthday is in September.\n10. The person who loves cooking is Alice.\n11. The person whose birthday is in April and the person who enjoys gardening are next to each other.\n12. The person who paints as a hobby is the person whose birthday is in February.\n\n\nChoices:\n0. cooking\n1. painting\n2. gardening\n3. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Eric`, `Alice`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`, `tulips`\n - Each person has an occupation: `artist`, `doctor`, `lawyer`, `teacher`, `engineer`\n - Everyone has a favorite smoothie: `lime`, `watermelon`, `cherry`, `dragonfruit`, `desert`\n - People own unique car models: `honda civic`, `ford f150`, `bmw 3 series`, `toyota camry`, `tesla model 3`\n\n## Clues:\n1. Arnold is the person who is an artist.\n2. The person who is a doctor is the person who loves the rose bouquet.\n3. Bob is the person who loves a carnations arrangement.\n4. The person who owns a BMW 3 Series is Arnold.\n5. The person who loves the boquet of lilies is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n7. The person who is a lawyer is the person who owns a Toyota Camry.\n8. The person who loves the boquet of lilies is Arnold.\n9. There are two houses between Bob and the person who owns a Honda Civic.\n10. The person who owns a Tesla Model 3 is in the third house.\n11. Peter is directly left of the person who loves the boquet of lilies.\n12. The Desert smoothie lover is the person who is a teacher.\n13. The person who is an artist and the Dragonfruit smoothie lover are next to each other.\n14. The person who is a doctor is the Watermelon smoothie lover.\n15. The person who loves the vase of tulips is directly left of the person who owns a Toyota Camry.\n\n\nChoices:\n0. daffodils\n1. carnations\n2. lilies\n3. roses\n4. tulips\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - Everyone has something unique for lunch: `spaghetti`, `stew`, `pizza`, `grilled cheese`\n - The people keep unique animals: `fish`, `horse`, `bird`, `cat`\n\n## Clues:\n1. The fish enthusiast is Alice.\n2. Eric is in the second house.\n3. The person who is a pizza lover is directly left of the fish enthusiast.\n4. Arnold is the bird keeper.\n5. The person who loves eating grilled cheese is Peter.\n6. The cat lover and the person who loves the stew are next to each other.\n7. The person who is a pizza lover is somewhere to the right of Eric.\n\n\nChoices:\n0. bird\n1. fish\n2. horse\n3. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique hair colors: `black`, `brown`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is in the first house.\n2. Arnold is the person who is short.\n3. Arnold is not in the second house.\n4. The person who has brown hair is directly left of the person partial to Pall Mall.\n\n\nChoices:\n0. pall mall\n1. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n - The people are of nationalities: `brit`, `dane`, `swede`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Janelle`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n\n## Clues:\n1. The Swedish person is not in the third house.\n2. The person who loves basketball is directly left of the person who loves tennis.\n3. Arnold is the person who loves the boquet of lilies.\n4. The person whose mother's name is Janelle is the Dane.\n5. The person whose mother's name is Holly is the person who loves a carnations arrangement.\n6. The person who loves the boquet of lilies is somewhere to the right of Peter.\n7. The Dane is directly left of the person who loves a carnations arrangement.\n8. Eric is not in the first house.\n9. The person whose mother's name is Janelle is directly left of the person who loves basketball.\n\n\nChoices:\n0. basketball\n1. soccer\n2. tennis\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. Eric is somewhere to the right of the person who loves eating grilled cheese.\n2. The person residing in a Victorian house is not in the second house.\n\n\nChoices:\n0. grilled cheese\n1. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique favorite drink: `water`, `tea`\n - Each person has an occupation: `engineer`, `doctor`\n\n## Clues:\n1. Eric is the person who is a doctor.\n2. The one who only drinks water is directly left of the person who is a doctor.\n\n\nChoices:\n0. tea\n1. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - Each person lives in a unique style of house: `victorian`, `craftsman`, `colonial`, `ranch`\n - People have unique hair colors: `red`, `blonde`, `black`, `brown`\n\n## Clues:\n1. The person in a ranch-style home is somewhere to the right of the person who has black hair.\n2. There are two houses between Alice and the person living in a colonial-style house.\n3. The person who has red hair is directly left of Eric.\n4. The person living in a colonial-style house is somewhere to the right of the person in a Craftsman-style house.\n5. There is one house between Peter and the person who has blonde hair.\n6. The person who has red hair and the person in a ranch-style home are next to each other.\n7. The person residing in a Victorian house is in the second house.\n\n\nChoices:\n0. brown\n1. blonde\n2. red\n3. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - Each person has a unique type of pet: `fish`, `cat`, `dog`, `bird`\n\n## Clues:\n1. The person who has a cat is somewhere to the left of Alice.\n2. The person who owns a dog is Alice.\n3. The person who keeps a pet bird is in the fourth house.\n4. The person who has a cat is directly left of Peter.\n5. Arnold is in the fourth house.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Bob`, `Peter`, `Alice`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `lime`, `cherry`, `dragonfruit`\n - The people are of nationalities: `german`, `swede`, `norwegian`, `dane`, `brit`\n\n## Clues:\n1. The Dragonfruit smoothie lover is somewhere to the left of Eric.\n2. The Dragonfruit smoothie lover is in the second house.\n3. Peter is not in the first house.\n4. The Dane and the British person are next to each other.\n5. The Desert smoothie lover is not in the fifth house.\n6. The Swedish person is somewhere to the left of the Dragonfruit smoothie lover.\n7. There are two houses between the person who drinks Lime smoothies and the Dane.\n8. Bob is the Dane.\n9. Alice is the Norwegian.\n10. Alice is in the third house.\n11. The Watermelon smoothie lover is in the third house.\n\n\nChoices:\n0. norwegian\n1. dane\n2. brit\n3. german\n4. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n\n## Clues:\n1. Arnold is in the third house.\n2. The person whose birthday is in January is directly left of Arnold.\n3. Peter is the person whose birthday is in September.\n\n\nChoices:\n0. april\n1. sept\n2. jan\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - People have unique hair colors: `black`, `blonde`, `brown`, `red`\n\n## Clues:\n1. Eric is directly left of the person who has blonde hair.\n2. Alice and Arnold are next to each other.\n3. Eric is the person who has brown hair.\n4. The person who has black hair is not in the first house.\n5. Alice is in the first house.\n\n\nChoices:\n0. brown\n1. red\n2. blonde\n3. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person whose birthday is in April is Arnold.\n2. The person whose birthday is in January is somewhere to the left of the person who is a pizza lover.\n3. Peter is the person who loves eating grilled cheese.\n4. The person who loves the spaghetti eater is Arnold.\n5. Peter is directly left of Arnold.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `lime`, `dragonfruit`, `desert`, `watermelon`, `cherry`\n - The people keep unique animals: `horse`, `dog`, `bird`, `fish`, `cat`\n - The people are of nationalities: `german`, `swede`, `norwegian`, `brit`, `dane`\n\n## Clues:\n1. The Swedish person is directly left of the dog owner.\n2. There are two houses between the dog owner and the British person.\n3. The Dane is the person who keeps horses.\n4. The bird keeper is somewhere to the right of the cat lover.\n5. The dog owner is directly left of the person who drinks Lime smoothies.\n6. Eric is the cat lover.\n7. Bob is the bird keeper.\n8. The person who likes Cherry smoothies is directly left of Peter.\n9. The bird keeper is the Watermelon smoothie lover.\n10. The Desert smoothie lover is the dog owner.\n11. The person who keeps horses is in the third house.\n12. The Norwegian is Alice.\n\n\nChoices:\n0. cat\n1. fish\n2. bird\n3. horse\n4. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite music genres: `pop`, `rock`\n - People have unique hair colors: `black`, `brown`\n - The people are of nationalities: `brit`, `dane`\n\n## Clues:\n1. Arnold and the person who loves pop music are next to each other.\n2. The person who has brown hair is the British person.\n3. The person who loves rock music is directly left of the person who has brown hair.\n\n\nChoices:\n0. brown\n1. black\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Bob`, `Peter`\n - Each person has a unique favorite drink: `root beer`, `water`, `coffee`, `tea`, `milk`\n - Each person has a unique birthday month: `jan`, `april`, `sept`, `feb`, `mar`\n - Each person has an occupation: `teacher`, `lawyer`, `engineer`, `doctor`, `artist`\n - Each person prefers a unique type of vacation: `city`, `cruise`, `mountain`, `beach`, `camping`\n\n## Clues:\n1. The root beer lover is Bob.\n2. The person who is an engineer is Bob.\n3. The coffee drinker is not in the first house.\n4. Peter is not in the second house.\n5. The one who only drinks water is not in the fifth house.\n6. The person who is a doctor is directly left of the person who prefers city breaks.\n7. The person who likes going on cruises is somewhere to the left of the person whose birthday is in April.\n8. The person whose birthday is in February is the person who loves beach vacations.\n9. Eric is somewhere to the right of Arnold.\n10. The tea drinker is the person who enjoys mountain retreats.\n11. The person who enjoys mountain retreats is not in the second house.\n12. The person whose birthday is in April is not in the second house.\n13. The tea drinker is somewhere to the left of the person who enjoys camping trips.\n14. The person who is an engineer is the person who enjoys camping trips.\n15. The person who is an artist is the person whose birthday is in April.\n16. The person whose birthday is in March is not in the first house.\n17. Arnold is the coffee drinker.\n18. The coffee drinker is the person whose birthday is in February.\n19. The person who is a lawyer is somewhere to the right of the person who is a teacher.\n20. The coffee drinker is not in the second house.\n21. The person whose birthday is in April is the one who only drinks water.\n22. The person whose birthday is in January is the root beer lover.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Peter\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - The people keep unique animals: `fish`, `dog`, `cat`, `horse`, `bird`\n - People own unique car models: `tesla model 3`, `ford f150`, `honda civic`, `bmw 3 series`, `toyota camry`\n\n## Clues:\n1. Bob is the person who keeps horses.\n2. The person who owns a Toyota Camry is the cat lover.\n3. Arnold is in the fifth house.\n4. Alice is directly left of the bird keeper.\n5. The person who keeps horses is directly left of the person who owns a Honda Civic.\n6. The person who owns a Ford F-150 is in the second house.\n7. The person who owns a Ford F-150 is Peter.\n8. The person who keeps horses is directly left of the fish enthusiast.\n9. The bird keeper is the person who owns a Tesla Model 3.\n\n\nChoices:\n0. cat\n1. bird\n2. dog\n3. fish\n4. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each mother is accompanied by their child: `Meredith`, `Fred`, `Bella`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `desert`\n - Each person prefers a unique type of vacation: `mountain`, `city`, `beach`\n - Each person has a favorite color: `white`, `red`, `yellow`\n\n## Clues:\n1. There is one house between the person's child is named Bella and the person's child is named Meredith.\n2. The person who likes Cherry smoothies is the person who loves beach vacations.\n3. The person who prefers city breaks is Arnold.\n4. The person whose favorite color is red is the person's child is named Fred.\n5. The person's child is named Fred is the Watermelon smoothie lover.\n6. Eric is not in the first house.\n7. The person's child is named Meredith is the person who loves white.\n8. The person who loves white is the Desert smoothie lover.\n9. The Desert smoothie lover is Eric.\n\n\nChoices:\n0. white\n1. red\n2. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a favorite color: `white`, `red`, `yellow`\n\n## Clues:\n1. Eric is directly left of the person whose favorite color is red.\n2. Peter is not in the second house.\n3. The person who loves white is in the third house.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `teacher`\n - Each person has a unique birthday month: `sept`, `april`, `jan`, `feb`\n - Each person has a favorite color: `red`, `white`, `green`, `yellow`\n\n## Clues:\n1. Arnold is in the first house.\n2. The person whose birthday is in February and the person who is a teacher are next to each other.\n3. The person who is a teacher is the person whose favorite color is red.\n4. The person whose favorite color is red is not in the third house.\n5. The person who loves yellow is directly left of Peter.\n6. The person whose favorite color is green and the person whose favorite color is red are next to each other.\n7. The person who is an engineer is the person whose favorite color is green.\n8. Eric is the person who is a teacher.\n9. The person who loves yellow is not in the second house.\n10. The person whose birthday is in September is somewhere to the left of the person whose favorite color is green.\n11. The person who is a doctor is somewhere to the right of the person whose birthday is in April.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Peter\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - Each person has a unique hobby: `gardening`, `photography`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. The person who enjoys gardening is directly left of the person who loves eating grilled cheese.\n2. Eric is directly left of the person who is a doctor.\n3. The person who is very short is not in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `associate`, `high school`\n - Each person has an occupation: `teacher`, `doctor`, `engineer`\n\n## Clues:\n1. The person who is a teacher is directly left of the person with an associate's degree.\n2. The person with an associate's degree and Eric are next to each other.\n3. Peter is the person with a high school diploma.\n4. The person who is a doctor is the person with a bachelor's degree.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `tulips`, `daffodils`, `lilies`, `roses`, `carnations`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Timothy`, `Meredith`, `Samantha`\n - Each person has a unique level of education: `high school`, `bachelor`, `doctorate`, `master`, `associate`\n - The people keep unique animals: `cat`, `fish`, `dog`, `horse`, `bird`\n\n## Clues:\n1. Peter is somewhere to the right of the dog owner.\n2. There is one house between the person who loves a carnations arrangement and the person with a bachelor's degree.\n3. There is one house between the person with a doctorate and the cat lover.\n4. The person with an associate's degree is directly left of the person who loves the vase of tulips.\n5. There is one house between the cat lover and the person who keeps horses.\n6. The person's child is named Fred is somewhere to the left of the person with a bachelor's degree.\n7. The person's child is named Meredith is not in the third house.\n8. The person with a master's degree is the person's child is named Bella.\n9. The person with a bachelor's degree is Bob.\n10. The person who is the mother of Timothy is the person who loves a bouquet of daffodils.\n11. The person's child is named Samantha is Bob.\n12. Arnold is directly left of Peter.\n13. The bird keeper is directly left of the person who loves a bouquet of daffodils.\n14. The person who loves the rose bouquet is the bird keeper.\n15. There is one house between the dog owner and the fish enthusiast.\n16. The person who loves the vase of tulips is Eric.\n\n\nChoices:\n0. high school\n1. doctorate\n2. associate\n3. bachelor\n4. master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - People have unique favorite sports: `basketball`, `soccer`, `swimming`, `tennis`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `samsung galaxy s21`, `iphone 13`\n - People own unique car models: `toyota camry`, `ford f150`, `tesla model 3`, `honda civic`\n - They all have a unique favorite flower: `roses`, `daffodils`, `lilies`, `carnations`\n\n## Clues:\n1. The person who owns a Honda Civic is the person who uses an iPhone 13.\n2. The person who loves tennis is the person who uses an iPhone 13.\n3. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves basketball.\n4. The person who uses an iPhone 13 is directly left of Eric.\n5. Alice is the person who owns a Ford F-150.\n6. Arnold is the person who loves a bouquet of daffodils.\n7. The person who loves the boquet of lilies is in the third house.\n8. The person who loves soccer is Peter.\n9. The person who uses a OnePlus 9 is the person who loves the rose bouquet.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. Peter is the person who loves the boquet of lilies.\n12. The person who owns a Toyota Camry is directly left of the person who owns a Tesla Model 3.\n\n\nChoices:\n0. lilies\n1. roses\n2. daffodils\n3. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person has a unique birthday month: `april`, `sept`\n - The people keep unique animals: `horse`, `cat`\n\n## Clues:\n1. Eric is in the first house.\n2. Eric is the person whose birthday is in September.\n3. The person who loves science fiction books is in the second house.\n4. The person who keeps horses is the person whose birthday is in September.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`, `Bob`\n - The people are of nationalities: `german`, `norwegian`, `brit`, `dane`, `swede`\n - People have unique favorite sports: `swimming`, `soccer`, `baseball`, `basketball`, `tennis`\n - People have unique hair colors: `blonde`, `brown`, `red`, `black`, `gray`\n\n## Clues:\n1. Arnold is the person who loves baseball.\n2. The Swedish person is somewhere to the left of Arnold.\n3. There are two houses between the person who loves basketball and the person who has black hair.\n4. The Norwegian is in the fourth house.\n5. Peter is the person who has black hair.\n6. The person who has red hair is in the second house.\n7. Bob is the German.\n8. The person who has blonde hair is not in the third house.\n9. The person who loves swimming is the person who has red hair.\n10. The German is not in the first house.\n11. The person who loves basketball is directly left of the Dane.\n12. The person who loves soccer is directly left of Arnold.\n13. Alice is the person who has gray hair.\n\n\nChoices:\n0. gray\n1. red\n2. brown\n3. black\n4. blonde\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `tesla model 3`, `ford f150`, `toyota camry`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the first house.\n2. The person who owns a Tesla Model 3 is the person who is a teacher.\n3. The person who loves basketball is in the first house.\n4. The person partial to Pall Mall is the person who is a teacher.\n5. Arnold is in the second house.\n6. Arnold is somewhere to the right of the Prince smoker.\n7. The person who loves tennis is Arnold.\n8. The person who is an engineer is Arnold.\n9. Eric is the person partial to Pall Mall.\n\n\nChoices:\n0. doctor\n1. teacher\n2. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `dunhill`, `blue master`, `prince`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `jan`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`, `painting`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n\n## Clues:\n1. The person who loves jazz music is the person whose birthday is in April.\n2. Alice is the person whose birthday is in April.\n3. Peter is directly left of the person who loves cooking.\n4. The person whose birthday is in February is Arnold.\n5. The Dunhill smoker is not in the third house.\n6. The Prince smoker is Arnold.\n7. The person who loves jazz music is the person partial to Pall Mall.\n8. The person whose birthday is in January is not in the third house.\n9. The person who loves rock music is Peter.\n10. The person who enjoys gardening is directly left of the photography enthusiast.\n11. The person who loves classical music is in the first house.\n12. The person who loves pop music is somewhere to the left of the person partial to Pall Mall.\n13. The person who smokes Blue Master is the person who loves pop music.\n\n\nChoices:\n0. jan\n1. april\n2. sept\n3. feb\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `cooking`, `photography`\n\n## Clues:\n1. The person who enjoys gardening is somewhere to the left of Bob.\n2. Peter is in the second house.\n3. Alice is not in the fourth house.\n4. The person who loves cooking is directly left of the person who enjoys knitting.\n5. The person who enjoys knitting is directly left of Bob.\n6. The person who paints as a hobby is Eric.\n7. Alice is not in the third house.\n\n\nChoices:\n0. knitting\n1. gardening\n2. painting\n3. cooking\n4. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`\n\n## Clues:\n1. The person whose favorite color is red is directly left of Eric.\n2. Arnold is the person whose favorite color is green.\n3. Eric is directly left of the person who loves yellow.\n4. Alice is in the first house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person has a favorite color: `yellow`, `white`, `red`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. The person who loves tennis is The person whose mother's name is Aniya.\n2. Eric is in the second house.\n3. The person who loves soccer is directly left of the person whose favorite color is red.\n4. The person who loves yellow is in the first house.\n5. The person whose mother's name is Holly is the person who loves soccer.\n6. The person whose mother's name is Aniya is the person who loves yellow.\n7. The person who loves yellow is Arnold.\n\n\nChoices:\n0. basketball\n1. soccer\n2. tennis\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People own unique car models: `toyota camry`, `ford f150`, `tesla model 3`\n - The people are of nationalities: `brit`, `swede`, `dane`\n\n## Clues:\n1. The Swedish person is the person who owns a Tesla Model 3.\n2. The person who owns a Toyota Camry is not in the first house.\n3. The person who owns a Tesla Model 3 is directly left of the person who owns a Ford F-150.\n4. The Swedish person and Peter are next to each other.\n5. The Swedish person is Eric.\n6. The British person is in the third house.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`, `Bob`\n - The people keep unique animals: `fish`, `dog`, `bird`, `cat`, `horse`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`, `camping`, `cruise`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Arnold is not in the fifth house.\n3. The person who uses a OnePlus 9 is the person who enjoys mountain retreats.\n4. Bob is the person who loves beach vacations.\n5. The cat lover is in the second house.\n6. There are two houses between the person who uses a Google Pixel 6 and the fish enthusiast.\n7. The person who enjoys camping trips is the person who keeps horses.\n8. The fish enthusiast and the person who enjoys mountain retreats are next to each other.\n9. The dog owner is not in the fifth house.\n10. The fish enthusiast is Alice.\n11. The person who prefers city breaks is the person who uses a Huawei P50.\n12. There are two houses between Arnold and the person who uses a Samsung Galaxy S21.\n13. The person who loves beach vacations is in the third house.\n14. Eric is somewhere to the left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. huawei p50\n1. oneplus 9\n2. samsung galaxy s21\n3. iphone 13\n4. google pixel 6\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has a unique type of pet: `bird`, `cat`, `dog`, `fish`\n - People use unique phone models: `iphone 13`, `google pixel 6`, `oneplus 9`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses a Google Pixel 6 is directly left of the person who has a cat.\n2. Peter is the person who owns a dog.\n3. The person who uses a OnePlus 9 is the person who has a cat.\n4. The person who uses an iPhone 13 is Peter.\n5. There are two houses between the person who uses a Google Pixel 6 and Alice.\n6. The person who keeps a pet bird is somewhere to the left of Eric.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`\n - People own unique car models: `ford f150`, `honda civic`, `toyota camry`, `bmw 3 series`, `tesla model 3`\n\n## Clues:\n1. The person who owns a BMW 3 Series is Arnold.\n2. The person who owns a BMW 3 Series is not in the fifth house.\n3. Eric is directly left of Peter.\n4. Bob is directly left of Alice.\n5. Eric is the person who owns a Tesla Model 3.\n6. Peter and Arnold are next to each other.\n7. Bob and the person who owns a Honda Civic are next to each other.\n8. The person who owns a BMW 3 Series is somewhere to the right of the person who owns a Ford F-150.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n2. honda civic\n3. toyota camry\n4. bmw 3 series\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique heights: `short`, `very short`, `average`\n\n## Clues:\n1. Eric is not in the first house.\n2. The person who is very short is somewhere to the left of the person who is short.\n3. The person who is very short is Eric.\n4. Arnold is not in the first house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. The person who likes Cherry smoothies is the person who owns a dog.\n2. The person residing in a Victorian house is the person who owns a dog.\n3. The person residing in a Victorian house is somewhere to the left of Eric.\n\n\nChoices:\n0. cat\n1. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n - They all have a unique favorite flower: `carnations`, `lilies`, `daffodils`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`\n\n## Clues:\n1. The person who smokes Blue Master is the person who loves a bouquet of daffodils.\n2. Arnold is somewhere to the right of the person who loves a carnations arrangement.\n3. Eric is somewhere to the right of the Prince smoker.\n4. The one who only drinks water is the person partial to Pall Mall.\n5. The person who loves the boquet of lilies is Peter.\n6. The tea drinker is not in the third house.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n\n## Clues:\n1. Eric is directly left of the person's child is named Bella.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n - Each person has a unique birthday month: `jan`, `feb`, `sept`, `april`\n - The people are of nationalities: `swede`, `dane`, `brit`, `norwegian`\n\n## Clues:\n1. The person who enjoys mountain retreats is Alice.\n2. The Norwegian is somewhere to the left of the person whose birthday is in September.\n3. The person who prefers city breaks is the British person.\n4. Alice and Eric are next to each other.\n5. The person who likes going on cruises is not in the fourth house.\n6. Alice is somewhere to the left of the person whose birthday is in January.\n7. The person who enjoys mountain retreats is the Norwegian.\n8. Alice is directly left of the Swedish person.\n9. Eric is in the third house.\n10. The person whose birthday is in April is Peter.\n11. The Dane is the person whose birthday is in September.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - Each person has an occupation: `engineer`, `artist`, `teacher`, `doctor`\n\n## Clues:\n1. The person who is an engineer is not in the third house.\n2. The person who is a teacher is directly left of Peter.\n3. The person who is an engineer is Arnold.\n4. The person who is a doctor is somewhere to the right of Alice.\n5. Arnold is somewhere to the left of Eric.\n6. There is one house between Arnold and Alice.\n\n\nChoices:\n0. engineer\n1. artist\n2. teacher\n3. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - The people keep unique animals: `cat`, `horse`, `bird`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n\n## Clues:\n1. The bird keeper and the person's child is named Meredith are next to each other.\n2. The person who loves classical music is Arnold.\n3. Eric is the person's child is named Fred.\n4. The person who keeps horses is somewhere to the left of the person's child is named Bella.\n5. The person's child is named Meredith is directly left of Arnold.\n6. The bird keeper is not in the third house.\n7. Arnold is not in the second house.\n8. Eric is the person who loves rock music.\n\n\nChoices:\n0. cat\n1. horse\n2. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`, `swimming`\n - People own unique car models: `tesla model 3`, `toyota camry`, `honda civic`, `ford f150`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves the rose bouquet.\n2. Peter is the Dragonfruit smoothie lover.\n3. The Desert smoothie lover is the person who owns a Toyota Camry.\n4. The person who loves tennis is in the first house.\n5. The person who owns a Toyota Camry and the person who loves basketball are next to each other.\n6. Arnold is the person who loves basketball.\n7. The person who owns a Honda Civic is the person who loves a bouquet of daffodils.\n8. Eric is the person who loves the rose bouquet.\n9. The Watermelon smoothie lover is not in the first house.\n10. The person who owns a Honda Civic is somewhere to the right of the Desert smoothie lover.\n11. The person who loves basketball is the person who loves the boquet of lilies.\n12. The person who loves tennis and the person who loves soccer are next to each other.\n\n\nChoices:\n0. honda civic\n1. tesla model 3\n2. ford f150\n3. toyota camry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`, `dunhill`\n - People have unique heights: `tall`, `very short`, `average`, `short`\n\n## Clues:\n1. Alice is the person who has an average height.\n2. Eric is somewhere to the right of the Dunhill smoker.\n3. The Dunhill smoker is the person who is very short.\n4. The person who is very short and Alice are next to each other.\n5. The Prince smoker is not in the fourth house.\n6. The person who is short is somewhere to the right of Alice.\n7. The person partial to Pall Mall is Peter.\n8. Alice is in the third house.\n\n\nChoices:\n0. dunhill\n1. pall mall\n2. prince\n3. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Bob`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `fish`, `cat`, `dog`, `bird`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `lawyer`, `teacher`\n - Each person has a favorite color: `green`, `blue`, `yellow`, `red`, `white`\n - The people keep unique animals: `bird`, `cat`, `horse`, `fish`, `dog`\n\n## Clues:\n1. The person who owns a dog is Arnold.\n2. The bird keeper is in the fourth house.\n3. The person who keeps a pet bird is directly left of the dog owner.\n4. The person who loves white is somewhere to the left of the person who is a lawyer.\n5. The person who loves yellow is directly left of the person whose favorite color is green.\n6. The cat lover is Bob.\n7. The cat lover is somewhere to the left of Eric.\n8. The person who keeps horses is in the fifth house.\n9. The person who is a lawyer is directly left of the person who is a teacher.\n10. The person who is a doctor is in the first house.\n11. Alice is the person who loves yellow.\n12. The person who loves blue is directly left of the person with an aquarium of fish.\n13. The person who loves yellow is in the first house.\n14. The person with a pet hamster is the person who is an artist.\n15. Eric is the dog owner.\n\n\nChoices:\n0. red\n1. white\n2. yellow\n3. green\n4. blue\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `camping`, `beach`, `mountain`\n - Each mother is accompanied by their child: `Bella`, `Samantha`, `Fred`, `Meredith`, `Timothy`\n - The people are of nationalities: `dane`, `norwegian`, `brit`, `german`, `swede`\n\n## Clues:\n1. The Norwegian is Peter.\n2. The Swedish person is the person's child is named Bella.\n3. The person who loves beach vacations is directly left of the person's child is named Samantha.\n4. The person's child is named Bella is not in the second house.\n5. Alice is the British person.\n6. The person who likes going on cruises is in the first house.\n7. The person's child is named Meredith is in the fourth house.\n8. Eric is not in the fifth house.\n9. The Swedish person is somewhere to the right of the Norwegian.\n10. There is one house between the person's child is named Fred and the person who prefers city breaks.\n11. Bob is the person who enjoys camping trips.\n12. The Dane is in the fifth house.\n13. The person who enjoys camping trips is not in the fifth house.\n\n\nChoices:\n0. Meredith\n1. Samantha\n2. Timothy\n3. Fred\n4. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `samsung galaxy s21`, `huawei p50`\n - People have unique hair colors: `gray`, `blonde`, `black`, `brown`, `red`\n - People own unique car models: `bmw 3 series`, `tesla model 3`, `ford f150`, `toyota camry`, `honda civic`\n\n## Clues:\n1. The person who uses an iPhone 13 is in the third house.\n2. The person who owns a Tesla Model 3 is the person who uses a OnePlus 9.\n3. The person who has blonde hair is not in the second house.\n4. The person who uses a Samsung Galaxy S21 is not in the second house.\n5. The person who owns a BMW 3 Series is not in the fourth house.\n6. The person who owns a Honda Civic and the person who has brown hair are next to each other.\n7. The person who owns a Honda Civic and Arnold are next to each other.\n8. The person who owns a Ford F-150 is somewhere to the left of the person who has black hair.\n9. Eric is not in the first house.\n10. Eric is somewhere to the left of the person who has brown hair.\n11. The person who owns a Toyota Camry is Peter.\n12. The person who has blonde hair is somewhere to the right of Alice.\n13. The person who uses an iPhone 13 is Bob.\n14. Peter is the person who uses a Google Pixel 6.\n15. The person who owns a Toyota Camry is somewhere to the right of the person who owns a Honda Civic.\n16. Peter is the person who has gray hair.\n\n\nChoices:\n0. huawei p50\n1. iphone 13\n2. samsung galaxy s21\n3. google pixel 6\n4. oneplus 9\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Bob`, `Eric`\n - People have unique favorite sports: `tennis`, `swimming`, `soccer`, `basketball`, `baseball`\n - Each person has a unique level of education: `doctorate`, `associate`, `master`, `high school`, `bachelor`\n - They all have a unique favorite flower: `daffodils`, `tulips`, `lilies`, `carnations`, `roses`\n\n## Clues:\n1. The person who loves swimming is the person who loves a carnations arrangement.\n2. The person with an associate's degree is the person who loves basketball.\n3. The person who loves a carnations arrangement is directly left of the person with a master's degree.\n4. The person with a master's degree is Eric.\n5. Alice is the person with a bachelor's degree.\n6. Peter is the person who loves the rose bouquet.\n7. The person who loves swimming is somewhere to the right of the person who loves soccer.\n8. The person who loves the boquet of lilies is directly left of the person who loves the vase of tulips.\n9. The person with a high school diploma is in the third house.\n10. The person who loves a carnations arrangement is the person with a doctorate.\n11. Arnold is not in the second house.\n12. The person who loves baseball is in the first house.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Bob\n3. Arnold\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. The person who is a doctor is not in the first house.\n2. The Dane is the person who is an engineer.\n3. The person who owns a Tesla Model 3 is the Dane.\n4. The person whose mother's name is Janelle is Peter.\n5. The Swedish person is in the third house.\n6. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Janelle.\n7. Eric is not in the first house.\n8. The British person is the person who owns a Toyota Camry.\n9. The person who is an engineer is The person whose mother's name is Janelle.\n\n\nChoices:\n0. Holly\n1. Janelle\n2. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`, `Bob`\n - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`\n - The people are of nationalities: `norwegian`, `dane`, `swede`, `german`, `brit`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `roses`, `carnations`, `tulips`\n\n## Clues:\n1. There is one house between the person who loves the rose bouquet and the person who is an artist.\n2. The person who is an engineer is in the second house.\n3. The Swedish person is the person who is an artist.\n4. The Dane is somewhere to the right of Bob.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The Dane is the person who is a doctor.\n7. The person who loves the boquet of lilies is not in the fourth house.\n8. The person who loves the rose bouquet is Peter.\n9. The person who is an engineer is somewhere to the left of the person who is a teacher.\n10. The Norwegian is in the third house.\n11. Arnold is the British person.\n12. The person who loves a carnations arrangement is the Dane.\n13. Alice is the Norwegian.\n\n\nChoices:\n0. doctor\n1. engineer\n2. teacher\n3. artist\n4. lawyer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`\n - People have unique favorite music genres: `classical`, `pop`, `rock`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. The person who loves pop music is in the first house.\n3. Peter is not in the third house.\n4. The person who uses a Google Pixel 6 is the person who loves pop music.\n5. The person who loves classical music is directly left of the person who uses an iPhone 13.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who is very short is Eric.\n2. The person who is very short is not in the first house.\n3. The person who loves a bouquet of daffodils is in the second house.\n\n\nChoices:\n0. carnations\n1. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - The people keep unique animals: `fish`, `cat`, `bird`, `horse`, `dog`\n - Each person has a unique level of education: `doctorate`, `associate`, `bachelor`, `master`, `high school`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`, `tulips`\n\n## Clues:\n1. The person with an associate's degree is not in the first house.\n2. Arnold is directly left of Alice.\n3. The bird keeper is somewhere to the right of Peter.\n4. Eric is in the second house.\n5. The fish enthusiast is the person who loves the boquet of lilies.\n6. The fish enthusiast is somewhere to the left of the person with a master's degree.\n7. The person with a high school diploma is directly left of the person who loves the vase of tulips.\n8. The person with a bachelor's degree is not in the fifth house.\n9. The person who keeps horses is somewhere to the left of the person with a high school diploma.\n10. The person with a bachelor's degree is the bird keeper.\n11. The dog owner is the person who loves the rose bouquet.\n12. The person who loves a carnations arrangement is in the third house.\n13. The person with an associate's degree is not in the second house.\n14. Peter is in the third house.\n\n\nChoices:\n0. roses\n1. lilies\n2. daffodils\n3. tulips\n4. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n - People own unique car models: `tesla model 3`, `ford f150`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n - People have unique favorite music genres: `pop`, `rock`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is not in the first house.\n2. The person's child is named Fred is in the second house.\n3. The person who loves rock music is in the second house.\n4. Arnold is the person who owns a Ford F-150.\n5. The person who loves rock music is Arnold.\n\n\nChoices:\n0. samsung galaxy s21\n1. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has an occupation: `teacher`, `doctor`, `engineer`\n - People have unique favorite music genres: `classical`, `pop`, `rock`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`\n\n## Clues:\n1. The person who loves rock music is in the third house.\n2. The person who is a doctor is not in the third house.\n3. The person's child is named Bella is somewhere to the right of the person's child is named Meredith.\n4. Arnold is directly left of the person who loves rock music.\n5. The person who is a teacher is directly left of the person's child is named Fred.\n6. Eric is somewhere to the right of the person who is a teacher.\n7. The person who loves pop music is somewhere to the left of the person's child is named Fred.\n8. The person who is a teacher is in the first house.\n\n\nChoices:\n0. pop\n1. rock\n2. classical\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Each person lives in a unique style of house: `craftsman`, `colonial`, `victorian`, `ranch`\n - People have unique hair colors: `red`, `blonde`, `black`, `brown`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`, `Samantha`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n\n## Clues:\n1. The person in a Craftsman-style house is in the third house.\n2. Alice is the person who loves romance books.\n3. The person who has brown hair is in the fourth house.\n4. The person's child is named Samantha is in the fourth house.\n5. The person in a ranch-style home is somewhere to the right of the person who has red hair.\n6. Peter is the person's child is named Bella.\n7. Arnold is the person who has red hair.\n8. Alice is the person living in a colonial-style house.\n9. The person who has black hair is in the second house.\n10. The person who loves fantasy books is Peter.\n11. Arnold is the person's child is named Meredith.\n12. The person who has black hair is Eric.\n13. The person who loves science fiction books is Arnold.\n\n\nChoices:\n0. colonial\n1. craftsman\n2. ranch\n3. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique favorite drink: `water`, `tea`\n - Each person has an occupation: `engineer`, `doctor`\n\n## Clues:\n1. Eric is the person who is a doctor.\n2. The one who only drinks water is directly left of the person who is a doctor.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - The people keep unique animals: `fish`, `dog`, `cat`, `horse`, `bird`\n - People own unique car models: `tesla model 3`, `ford f150`, `honda civic`, `bmw 3 series`, `toyota camry`\n\n## Clues:\n1. Bob is the person who keeps horses.\n2. The person who owns a Toyota Camry is the cat lover.\n3. Arnold is in the fifth house.\n4. Alice is directly left of the bird keeper.\n5. The person who keeps horses is directly left of the person who owns a Honda Civic.\n6. The person who owns a Ford F-150 is in the second house.\n7. The person who owns a Ford F-150 is Peter.\n8. The person who keeps horses is directly left of the fish enthusiast.\n9. The bird keeper is the person who owns a Tesla Model 3.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Eric\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person has a favorite color: `yellow`, `white`, `red`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. The person who loves tennis is The person whose mother's name is Aniya.\n2. Eric is in the second house.\n3. The person who loves soccer is directly left of the person whose favorite color is red.\n4. The person who loves yellow is in the first house.\n5. The person whose mother's name is Holly is the person who loves soccer.\n6. The person whose mother's name is Aniya is the person who loves yellow.\n7. The person who loves yellow is Arnold.\n\n\nChoices:\n0. Aniya\n1. Janelle\n2. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique favorite drink: `water`, `tea`\n\n## Clues:\n1. The tea drinker is Eric.\n2. The tea drinker is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `camping`, `beach`, `mountain`\n - Each mother is accompanied by their child: `Bella`, `Samantha`, `Fred`, `Meredith`, `Timothy`\n - The people are of nationalities: `dane`, `norwegian`, `brit`, `german`, `swede`\n\n## Clues:\n1. The Norwegian is Peter.\n2. The Swedish person is the person's child is named Bella.\n3. The person who loves beach vacations is directly left of the person's child is named Samantha.\n4. The person's child is named Bella is not in the second house.\n5. Alice is the British person.\n6. The person who likes going on cruises is in the first house.\n7. The person's child is named Meredith is in the fourth house.\n8. Eric is not in the fifth house.\n9. The Swedish person is somewhere to the right of the Norwegian.\n10. There is one house between the person's child is named Fred and the person who prefers city breaks.\n11. Bob is the person who enjoys camping trips.\n12. The Dane is in the fifth house.\n13. The person who enjoys camping trips is not in the fifth house.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Alice\n3. Peter\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Everyone has something unique for lunch: `grilled cheese`, `stew`, `pizza`, `spaghetti`\n - People have unique hair colors: `blonde`, `black`, `red`, `brown`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`, `Kailyn`\n\n## Clues:\n1. Alice is the person whose favorite color is red.\n2. The person who has black hair is the person who loves the stew.\n3. The person who loves white is Arnold.\n4. The person whose favorite color is red and The person whose mother's name is Kailyn are next to each other.\n5. The person who loves yellow and the person who has black hair are next to each other.\n6. The person who is a pizza lover is somewhere to the left of the person whose favorite color is green.\n7. Peter is The person whose mother's name is Janelle.\n8. The person who has blonde hair is the person who loves white.\n9. The person who has red hair is Alice.\n10. The person who loves white is somewhere to the right of the person who loves eating grilled cheese.\n11. The person who loves white is not in the second house.\n12. The person whose mother's name is Kailyn is the person who is a pizza lover.\n13. The person whose mother's name is Holly is the person who has red hair.\n\n\nChoices:\n0. grilled cheese\n1. stew\n2. pizza\n3. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique hobby: `photography`, `cooking`, `painting`, `gardening`\n - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who loves cooking is not in the fourth house.\n2. The person who paints as a hobby is somewhere to the left of the photography enthusiast.\n3. The person partial to Pall Mall is Arnold.\n4. There is one house between Peter and the photography enthusiast.\n5. The Dunhill smoker is directly left of the person who loves cooking.\n6. The person partial to Pall Mall is directly left of Alice.\n7. The person partial to Pall Mall is somewhere to the left of the person who smokes Blue Master.\n8. The Prince smoker is the photography enthusiast.\n\n\nChoices:\n0. cooking\n1. gardening\n2. photography\n3. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `black`, `brown`\n - People have unique favorite sports: `soccer`, `basketball`\n - Each person has an occupation: `doctor`, `engineer`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. The person who loves basketball is not in the first house.\n2. The person who is an engineer is the person whose birthday is in September.\n3. Arnold is the person who is an engineer.\n4. The person who has brown hair is somewhere to the left of the person whose birthday is in September.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Each person has a unique type of pet: `cat`, `fish`, `dog`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - The people keep unique animals: `cat`, `bird`, `horse`\n\n## Clues:\n1. The person whose mother's name is Aniya is not in the first house.\n2. The person whose mother's name is Aniya is directly left of The person whose mother's name is Holly.\n3. The person whose mother's name is Janelle is Peter.\n4. The person who loves pop music is directly left of the person who owns a dog.\n5. The person who keeps horses is in the first house.\n6. Peter and the cat lover are next to each other.\n7. Eric is the person who loves rock music.\n8. The person whose mother's name is Janelle and the person who has a cat are next to each other.\n\n\nChoices:\n0. cat\n1. bird\n2. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`, `cooking`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is in the first house.\n2. The person who loves cooking is in the second house.\n3. Eric is the person who has a cat.\n4. Arnold is the person who enjoys gardening.\n5. The person who enjoys gardening is in the third house.\n\n\nChoices:\n0. dog\n1. cat\n2. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a favorite color: `white`, `red`, `yellow`\n\n## Clues:\n1. The person who loves yellow is directly left of Eric.\n2. The person who loves white is in the first house.\n3. Arnold is in the first house.\n\n\nChoices:\n0. red\n1. yellow\n2. white\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Bob`, `Eric`\n - Each person has a favorite color: `white`, `blue`, `yellow`, `red`, `green`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `pall mall`, `blends`\n - People have unique favorite book genres: `biography`, `mystery`, `romance`, `fantasy`, `science fiction`\n\n## Clues:\n1. There are two houses between the Prince smoker and the person who loves yellow.\n2. The person who loves white is Bob.\n3. The person who smokes Blue Master is directly left of Bob.\n4. Alice is somewhere to the left of the person who loves science fiction books.\n5. The person who loves biography books is not in the first house.\n6. Arnold is somewhere to the left of the person who smokes Blue Master.\n7. The person who loves mystery books and the person who loves biography books are next to each other.\n8. The person who loves fantasy books is Bob.\n9. The person whose favorite color is green is the person who smokes Blue Master.\n10. The person partial to Pall Mall is in the fourth house.\n11. The person who loves science fiction books is the Dunhill smoker.\n12. The person whose favorite color is red is not in the fifth house.\n13. Peter is directly left of the Dunhill smoker.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Bob\n3. Arnold\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - People have unique favorite music genres: `rock`, `pop`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. The person who loves mystery books is the person who loves rock music.\n2. Arnold is not in the first house.\n3. The person who loves mystery books is the person who enjoys gardening.\n4. The person whose birthday is in April is Arnold.\n5. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - Each person has a unique favorite drink: `water`, `tea`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. Eric is not in the first house.\n2. The person who loves soccer is the Desert smoothie lover.\n3. The one who only drinks water is the person who likes Cherry smoothies.\n4. The one who only drinks water is Arnold.\n\n\nChoices:\n0. water\n1. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `oneplus 9`, `google pixel 6`, `iphone 13`\n - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`\n - People have unique hair colors: `red`, `black`, `blonde`, `brown`\n - Each person has a favorite color: `white`, `yellow`, `red`, `green`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who has brown hair.\n2. The person who has black hair is somewhere to the left of the Prince smoker.\n3. The person who loves yellow is the person who smokes Blue Master.\n4. The Dunhill smoker is the person who uses a OnePlus 9.\n5. The person who uses a OnePlus 9 is directly left of the person who has red hair.\n6. Alice is not in the second house.\n7. The Prince smoker is somewhere to the left of the person who uses a OnePlus 9.\n8. The person who smokes Blue Master is the person who uses a Samsung Galaxy S21.\n9. Eric is the person who loves white.\n10. The person who smokes Blue Master is directly left of the person whose favorite color is red.\n11. The person partial to Pall Mall is Arnold.\n\n\nChoices:\n0. samsung galaxy s21\n1. google pixel 6\n2. iphone 13\n3. oneplus 9\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n\n## Clues:\n1. Eric is somewhere to the left of the person who enjoys gardening.\n2. Arnold is not in the third house.\n3. Arnold is not in the second house.\n4. Eric is the photography enthusiast.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n\n## Clues:\n1. The person who loves basketball is somewhere to the right of the person partial to Pall Mall.\n2. The Prince smoker is not in the third house.\n3. Eric is The person whose mother's name is Holly.\n4. The person whose mother's name is Aniya is the person who loves pop music.\n5. Arnold is directly left of the Prince smoker.\n6. The person who loves tennis is the person who smokes Blue Master.\n7. The Prince smoker is somewhere to the right of the person who loves classical music.\n8. The person whose mother's name is Aniya is not in the second house.\n\n\nChoices:\n0. Janelle\n1. Aniya\n2. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. Arnold is the person who loves beach vacations.\n2. The person who loves beach vacations is not in the first house.\n\n\nChoices:\n0. beach\n1. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`, `lawyer`, `artist`\n\n## Clues:\n1. The person who is an artist is Peter.\n2. The person who is an engineer is in the first house.\n3. Arnold is the person who is a teacher.\n4. Alice is in the fourth house.\n5. The person who is a teacher is not in the second house.\n6. The person who is a lawyer is somewhere to the left of Eric.\n\n\nChoices:\n0. Alice\n1. Bob\n2. Peter\n3. Arnold\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n\n## Clues:\n1. Peter is somewhere to the left of the person living in a colonial-style house.\n2. The person in a ranch-style home is Arnold.\n3. The person with an associate's degree is in the second house.\n4. The person who loves soccer is in the first house.\n5. The person who loves basketball is not in the third house.\n6. Peter is somewhere to the right of Arnold.\n7. Arnold is somewhere to the left of the person with a bachelor's degree.\n\n\nChoices:\n0. ranch\n1. colonial\n2. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - Each person has a unique birthday month: `sept`, `feb`, `april`, `jan`\n - People have unique favorite book genres: `romance`, `fantasy`, `mystery`, `science fiction`\n - They all have a unique favorite flower: `roses`, `daffodils`, `lilies`, `carnations`\n - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`\n\n## Clues:\n1. There are two houses between the person who loves fantasy books and the person whose birthday is in April.\n2. The person whose birthday is in February is directly left of the person who loves a bouquet of daffodils.\n3. The person who likes going on cruises is the person who loves a carnations arrangement.\n4. The person whose birthday is in September is directly left of the person who loves science fiction books.\n5. The person who loves a bouquet of daffodils is the person who prefers city breaks.\n6. The person whose birthday is in April is Arnold.\n7. The person whose birthday is in February is the person who loves a carnations arrangement.\n8. Alice is the person who likes going on cruises.\n9. The person who loves the boquet of lilies is the person who enjoys mountain retreats.\n10. Eric is not in the third house.\n11. The person who loves science fiction books is the person who loves the boquet of lilies.\n12. The person who loves mystery books is Eric.\n13. Eric and the person whose birthday is in January are next to each other.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Arnold`, `Alice`\n - The people keep unique animals: `dog`, `fish`, `bird`, `horse`, `cat`\n - The people are of nationalities: `dane`, `swede`, `brit`, `german`, `norwegian`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Samantha`, `Fred`\n - Each person has a unique type of pet: `bird`, `fish`, `hamster`, `cat`, `dog`\n\n## Clues:\n1. The dog owner is not in the third house.\n2. The person who keeps a pet bird is in the fourth house.\n3. The German is Eric.\n4. Bob is somewhere to the left of the person's child is named Fred.\n5. The person with a pet hamster is Arnold.\n6. The British person is the dog owner.\n7. The person's child is named Meredith is not in the third house.\n8. The fish enthusiast is the person's child is named Samantha.\n9. The person who is the mother of Timothy is the German.\n10. The person who has a cat is in the fifth house.\n11. Peter is not in the fourth house.\n12. The Swedish person and the person's child is named Samantha are next to each other.\n13. The Swedish person is Peter.\n14. The Dane is in the second house.\n15. Eric and the cat lover are next to each other.\n16. The German is in the first house.\n17. The person with an aquarium of fish is somewhere to the right of the bird keeper.\n\n\nChoices:\n0. german\n1. brit\n2. swede\n3. dane\n4. norwegian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n - Each person has a unique favorite drink: `water`, `tea`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. Arnold is in the second house.\n2. The person who uses a Samsung Galaxy S21 is not in the first house.\n3. Eric is the person who loves soccer.\n4. The person who uses a Samsung Galaxy S21 is the tea drinker.\n\n\nChoices:\n0. water\n1. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`, `tulips`\n - People have unique favorite sports: `swimming`, `soccer`, `tennis`, `basketball`, `baseball`\n - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Kailyn is the person who loves basketball.\n2. Arnold is somewhere to the left of the person who loves baseball.\n3. The person who loves basketball is the person who loves a carnations arrangement.\n4. The person who loves the rose bouquet is Bob.\n5. The person who loves baseball is The person whose mother's name is Holly.\n6. The person whose mother's name is Aniya is directly left of Peter.\n7. The person who loves tennis is The person whose mother's name is Janelle.\n8. The person who loves the rose bouquet is somewhere to the left of the person who loves swimming.\n9. The person who loves a bouquet of daffodils is in the fifth house.\n10. The person who loves tennis and the person who loves the boquet of lilies are next to each other.\n11. The person who loves the rose bouquet is directly left of Alice.\n12. The person who loves basketball is in the second house.\n13. There are two houses between Eric and the person who loves baseball.\n\n\nChoices:\n0. Kailyn\n1. Aniya\n2. Holly\n3. Penny\n4. Janelle\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n\n## Clues:\n1. The person's child is named Fred is directly left of the person who loves mystery books.\n2. Peter is in the first house.\n3. The person who loves mystery books is the person who loves classical music.\n4. The person who loves science fiction books is the person's child is named Meredith.\n5. Eric is the person who loves mystery books.\n6. The person who loves rock music is somewhere to the right of the person who loves romance books.\n\n\nChoices:\n0. Meredith\n1. Fred\n2. Bella\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - People own unique car models: `tesla model 3`, `honda civic`, `toyota camry`, `ford f150`\n - Each person has a unique birthday month: `jan`, `april`, `sept`, `feb`\n - Each person has a unique hobby: `painting`, `cooking`, `gardening`, `photography`\n\n## Clues:\n1. The person whose birthday is in January is not in the second house.\n2. The photography enthusiast is somewhere to the left of Eric.\n3. The photography enthusiast is somewhere to the left of Peter.\n4. The person who owns a Honda Civic is directly left of the person who owns a Tesla Model 3.\n5. There is one house between the person who owns a Tesla Model 3 and the person who enjoys gardening.\n6. The person who owns a Tesla Model 3 is Arnold.\n7. The person whose birthday is in February is the person who loves cooking.\n8. The person who owns a Toyota Camry is Peter.\n9. The person whose birthday is in April is Arnold.\n10. Alice is the photography enthusiast.\n11. Peter is the person whose birthday is in January.\n\n\nChoices:\n0. painting\n1. cooking\n2. photography\n3. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people keep unique animals: `horse`, `cat`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - Each person has a unique level of education: `high school`, `associate`\n\n## Clues:\n1. The cat lover is somewhere to the right of the person with an associate's degree.\n2. The Prince smoker is the person who loves basketball.\n3. The person who keeps horses is somewhere to the left of the person who loves soccer.\n4. The person who loves basketball is Eric.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n\n## Clues:\n1. Eric is the person's child is named Bella.\n2. The person who loves tennis is somewhere to the left of the person who loves soccer.\n3. The person who loves tennis is the person's child is named Meredith.\n4. The person's child is named Meredith is Arnold.\n5. The person's child is named Fred is in the first house.\n\n\nChoices:\n0. basketball\n1. tennis\n2. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`\n - Each person has a unique birthday month: `april`, `sept`, `feb`, `jan`\n - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`\n - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`\n\n## Clues:\n1. The person who owns a Toyota Camry is in the first house.\n2. Eric and the person who loves the spaghetti eater are next to each other.\n3. The person who is an engineer is the person who loves eating grilled cheese.\n4. Peter is the person who owns a Toyota Camry.\n5. The person whose birthday is in April is directly left of the person whose birthday is in February.\n6. The person who is a doctor is somewhere to the right of the person who is an artist.\n7. The person who owns a Ford F-150 is the person who is a doctor.\n8. The person whose birthday is in September is somewhere to the left of Alice.\n9. Arnold is the person who is an artist.\n10. The person who loves the spaghetti eater is the person who owns a Ford F-150.\n11. The person who is an engineer is the person whose birthday is in April.\n12. The person whose birthday is in February and the person who is a pizza lover are next to each other.\n13. The person who owns a Honda Civic is Eric.\n\n\nChoices:\n0. artist\n1. engineer\n2. teacher\n3. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people are of nationalities: `brit`, `dane`\n - The people keep unique animals: `horse`, `cat`\n - Each person has a unique type of pet: `cat`, `dog`\n\n## Clues:\n1. The person who owns a dog is somewhere to the left of the Dane.\n2. The Dane is Eric.\n3. The person who keeps horses is in the first house.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `tea`, `water`, `coffee`, `milk`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `stew`, `pizza`\n\n## Clues:\n1. Arnold is the one who only drinks water.\n2. The person who loves eating grilled cheese is somewhere to the left of Arnold.\n3. The person who loves the spaghetti eater is in the second house.\n4. Eric is the person who loves the stew.\n5. The person who loves eating grilled cheese is Peter.\n6. The person who loves the stew is the person who likes milk.\n7. The person who loves eating grilled cheese is the coffee drinker.\n8. Arnold is the person who is a pizza lover.\n9. The one who only drinks water is not in the fourth house.\n\n\nChoices:\n0. tea\n1. coffee\n2. water\n3. milk\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique hair colors: `brown`, `black`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who has brown hair is in the second house.\n2. The person who loves a carnations arrangement is not in the second house.\n3. Arnold is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`, `Bob`\n - People own unique car models: `toyota camry`, `honda civic`, `tesla model 3`, `bmw 3 series`, `ford f150`\n - Everyone has a unique favorite cigar: `dunhill`, `blends`, `prince`, `blue master`, `pall mall`\n\n## Clues:\n1. Alice is the person who owns a Honda Civic.\n2. The person who owns a Ford F-150 is not in the third house.\n3. Alice is the person who smokes many unique blends.\n4. The person who smokes many unique blends is not in the third house.\n5. Alice is not in the second house.\n6. The person who owns a Tesla Model 3 is somewhere to the left of Eric.\n7. Arnold is somewhere to the right of the person who smokes many unique blends.\n8. Arnold is the Dunhill smoker.\n9. Bob is the person who owns a BMW 3 Series.\n10. The person partial to Pall Mall is directly left of the person who smokes many unique blends.\n11. There is one house between the Prince smoker and the person partial to Pall Mall.\n12. The person who owns a Toyota Camry is Arnold.\n\n\nChoices:\n0. prince\n1. blue master\n2. dunhill\n3. pall mall\n4. blends\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - They all have a unique favorite flower: `roses`, `daffodils`, `carnations`, `lilies`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. Eric is the person who loves romance books.\n3. The person who loves a carnations arrangement is in the first house.\n4. The person who loves a bouquet of daffodils is the person who loves science fiction books.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who enjoys mountain retreats is the person who loves mystery books.\n7. The person who loves science fiction books is Peter.\n8. The person who prefers city breaks is in the second house.\n9. The person who prefers city breaks and the person who loves classical music are next to each other.\n10. The person who loves beach vacations is not in the first house.\n11. The person who loves romance books is the person who loves pop music.\n12. The person who loves romance books is somewhere to the left of Alice.\n13. The person who loves the boquet of lilies is the person who loves mystery books.\n14. Peter is somewhere to the left of Alice.\n\n\nChoices:\n0. mountain\n1. city\n2. beach\n3. cruise\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Peter`, `Arnold`, `Eric`\n - People have unique hair colors: `black`, `red`, `brown`, `gray`, `blonde`\n - Each person has a unique level of education: `bachelor`, `associate`, `high school`, `master`, `doctorate`\n - Each mother is accompanied by their child: `Bella`, `Timothy`, `Samantha`, `Meredith`, `Fred`\n - The people keep unique animals: `horse`, `cat`, `fish`, `bird`, `dog`\n\n## Clues:\n1. The person who has red hair is directly left of the bird keeper.\n2. Peter is the person with a doctorate.\n3. The fish enthusiast is somewhere to the right of the person who has brown hair.\n4. The cat lover is the person with a bachelor's degree.\n5. The person's child is named Samantha is somewhere to the right of the person who has black hair.\n6. The fish enthusiast is the person's child is named Bella.\n7. Arnold and the person with an associate's degree are next to each other.\n8. The person who keeps horses is the person who is the mother of Timothy.\n9. The person who has brown hair is somewhere to the right of Bob.\n10. The person who has blonde hair is the bird keeper.\n11. The person with a master's degree is the fish enthusiast.\n12. The person with a high school diploma is the person's child is named Fred.\n13. The person with a high school diploma is Eric.\n14. The person with a bachelor's degree is the person who has red hair.\n15. The person who has gray hair is the person with an associate's degree.\n\n\nChoices:\n0. bird\n1. cat\n2. horse\n3. dog\n4. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `roses`, `carnations`\n\n## Clues:\n1. Peter is the person who loves a bouquet of daffodils.\n2. Arnold is in the third house.\n3. Alice is in the fourth house.\n4. The person who loves the boquet of lilies is somewhere to the right of the person who loves the rose bouquet.\n5. There are two houses between Peter and the person who loves a carnations arrangement.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Peter\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n\n## Clues:\n1. There is one house between Arnold and Eric.\n2. Peter is directly left of the person who loves cooking.\n3. Peter is the person with an aquarium of fish.\n4. The person who owns a dog is the person who likes milk.\n5. Arnold is the person who enjoys gardening.\n6. The tea drinker is in the third house.\n\n\nChoices:\n0. photography\n1. gardening\n2. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Peter`, `Eric`\n - People have unique hair colors: `blonde`, `black`, `gray`, `brown`, `red`\n - They all have a unique favorite flower: `tulips`, `carnations`, `daffodils`, `lilies`, `roses`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n\n## Clues:\n1. The person who loves the rose bouquet and the person who loves yellow are next to each other.\n2. The person who loves a carnations arrangement is Peter.\n3. The person who loves the rose bouquet is not in the third house.\n4. The person whose favorite color is green is not in the fifth house.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The person who loves yellow is Eric.\n7. The person who has blonde hair is in the fifth house.\n8. The person who has black hair is directly left of Arnold.\n9. The person who loves yellow is the person who has brown hair.\n10. Alice is the person whose favorite color is green.\n11. The person who has red hair is the person who loves blue.\n12. The person whose favorite color is red is somewhere to the right of the person who loves blue.\n13. The person who has black hair is the person who loves the vase of tulips.\n\n\nChoices:\n0. blue\n1. red\n2. green\n3. yellow\n4. white\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`, `Bob`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Samantha`, `Meredith`, `Timothy`\n - Each person has a unique hobby: `painting`, `photography`, `cooking`, `knitting`, `gardening`\n\n## Clues:\n1. The person's child is named Fred is the person who enjoys gardening.\n2. The person's child is named Meredith is directly left of the person who enjoys gardening.\n3. Bob is not in the second house.\n4. Eric is directly left of the person who paints as a hobby.\n5. The person who loves cooking is not in the fourth house.\n6. Bob is directly left of Alice.\n7. The person who is the mother of Timothy is directly left of the person who loves cooking.\n8. The person who enjoys knitting is the person's child is named Bella.\n9. The person's child is named Bella is somewhere to the left of the photography enthusiast.\n10. The person who paints as a hobby is the person's child is named Samantha.\n11. Peter is not in the third house.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Arnold\n3. Peter\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`\n - People have unique favorite music genres: `rock`, `jazz`, `classical`, `pop`\n - The people are of nationalities: `dane`, `brit`, `swede`, `norwegian`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n\n## Clues:\n1. The British person and Peter are next to each other.\n2. Eric is somewhere to the left of the British person.\n3. The Swedish person is directly left of the person whose favorite color is red.\n4. The person who loves classical music is in the second house.\n5. There is one house between the British person and the person whose favorite color is red.\n6. The person who loves rock music is the Norwegian.\n7. The person who loves yellow is not in the first house.\n8. The Norwegian is Arnold.\n9. The Dane and the person who loves white are next to each other.\n10. There are two houses between the person who loves pop music and the person who loves rock music.\n\n\nChoices:\n0. classical\n1. pop\n2. jazz\n3. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - People have unique heights: `very short`, `short`, `tall`, `average`, `very tall`\n - The mothers' names in different houses are unique: `Janelle`, `Kailyn`, `Penny`, `Holly`, `Aniya`\n - People have unique hair colors: `blonde`, `black`, `gray`, `red`, `brown`\n\n## Clues:\n1. The person who is tall is The person whose mother's name is Holly.\n2. There are two houses between the person who has an average height and the person who is short.\n3. The person who has gray hair is directly left of The person whose mother's name is Janelle.\n4. The person who has black hair is not in the fourth house.\n5. Eric is the person who has black hair.\n6. The person who is very short is The person whose mother's name is Penny.\n7. Eric and the person who has gray hair are next to each other.\n8. Bob is in the fifth house.\n9. The person who has red hair is Peter.\n10. The person whose mother's name is Kailyn is directly left of the person who is short.\n11. Arnold is the person who has brown hair.\n12. The person who has brown hair is somewhere to the left of The person whose mother's name is Janelle.\n13. The person whose mother's name is Aniya and the person who is very short are next to each other.\n14. The person whose mother's name is Kailyn is in the third house.\n\n\nChoices:\n0. Bob\n1. Arnold\n2. Peter\n3. Eric\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `tesla model 3`, `ford f150`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n - The people are of nationalities: `brit`, `dane`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the Prince smoker.\n2. The Dane and the person who owns a Ford F-150 are next to each other.\n3. The British person is somewhere to the right of the Dane.\n4. The person who has black hair is the Dane.\n5. Eric is the British person.\n\n\nChoices:\n0. black\n1. brown\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n\n## Clues:\n1. The Desert smoothie lover is the person who is a doctor.\n2. Arnold is not in the third house.\n3. The person who likes Cherry smoothies is somewhere to the right of Peter.\n4. The person who loves cooking is in the second house.\n5. The person who loves cooking is Peter.\n6. The person with an associate's degree is somewhere to the right of the person who enjoys gardening.\n7. The person with a bachelor's degree is somewhere to the right of the Desert smoothie lover.\n8. The person who loves cooking is the person who is a doctor.\n9. The photography enthusiast is the person who is a teacher.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The people keep unique animals: `horse`, `cat`\n\n## Clues:\n1. Eric is not in the first house.\n2. The cat lover is not in the first house.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - People have unique favorite sports: `soccer`, `basketball`\n - Each person has a unique favorite drink: `water`, `tea`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n\n## Clues:\n1. The Desert smoothie lover is somewhere to the right of the person living in a colonial-style house.\n2. The person who likes Cherry smoothies is the person who loves basketball.\n3. Arnold is in the second house.\n4. The person who loves basketball is the tea drinker.\n\n\nChoices:\n0. soccer\n1. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person lives in a unique style of house: `colonial`, `victorian`, `ranch`\n - They all have a unique favorite flower: `carnations`, `lilies`, `daffodils`\n\n## Clues:\n1. The person who loves a carnations arrangement is the person in a ranch-style home.\n2. The person living in a colonial-style house is in the second house.\n3. Arnold is the person who loves a carnations arrangement.\n4. The person living in a colonial-style house is the person who loves the boquet of lilies.\n5. The person who loves the boquet of lilies is directly left of Peter.\n\n\nChoices:\n0. daffodils\n1. carnations\n2. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`, `Bob`\n - Everyone has a favorite smoothie: `lime`, `cherry`, `desert`, `dragonfruit`, `watermelon`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`, `stew`, `stir fry`\n - People have unique hair colors: `gray`, `black`, `red`, `brown`, `blonde`\n\n## Clues:\n1. The person who has blonde hair is the person who loves eating grilled cheese.\n2. The Desert smoothie lover is somewhere to the left of the person who has red hair.\n3. The person who loves the spaghetti eater is the person who has red hair.\n4. Bob and the person who has blonde hair are next to each other.\n5. The person who likes Cherry smoothies is in the fourth house.\n6. Arnold is the person who has black hair.\n7. The Desert smoothie lover is in the third house.\n8. The Desert smoothie lover is the person who loves eating grilled cheese.\n9. Eric is the person who has blonde hair.\n10. The person who has gray hair is somewhere to the left of the person who has black hair.\n11. The person who has black hair is the Dragonfruit smoothie lover.\n12. Bob is the Watermelon smoothie lover.\n13. The person who loves stir fry is the person who has black hair.\n14. The person who is a pizza lover is the person who has brown hair.\n15. Peter is the person who has gray hair.\n\n\nChoices:\n0. cherry\n1. dragonfruit\n2. watermelon\n3. lime\n4. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n\n## Clues:\n1. Eric is in the second house.\n2. The person who loves soccer is somewhere to the right of the person who loves basketball.\n3. The Dane is somewhere to the right of Arnold.\n4. The British person is somewhere to the right of the person who loves tennis.\n5. The British person is not in the third house.\n\n\nChoices:\n0. dane\n1. swede\n2. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a favorite color: `white`, `red`, `yellow`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n\n## Clues:\n1. The person who loves pop music is Peter.\n2. Arnold is the person who loves classical music.\n3. The person with a bachelor's degree is not in the first house.\n4. The person who loves white is in the second house.\n5. The person who loves pop music is in the first house.\n6. The person who uses a Samsung Galaxy S21 is the person with an associate's degree.\n7. The person with a bachelor's degree is the person whose favorite color is red.\n8. The person with a high school diploma is the person who uses a Google Pixel 6.\n9. The person who uses a Samsung Galaxy S21 is the person who loves rock music.\n\n\nChoices:\n0. samsung galaxy s21\n1. iphone 13\n2. google pixel 6\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - People have unique heights: `short`, `very short`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Each person has a unique favorite drink: `tea`, `water`\n\n## Clues:\n1. The person who is very short is the person who is a pizza lover.\n2. The person who loves eating grilled cheese is in the second house.\n3. The person with a high school diploma is the person who is a pizza lover.\n4. The tea drinker is the person who loves eating grilled cheese.\n5. Arnold is the person who is a pizza lover.\n\n\nChoices:\n0. tea\n1. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People use unique phone models: `google pixel 6`, `iphone 13`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses an iPhone 13 is in the third house.\n2. Peter and Eric are next to each other.\n3. Peter is somewhere to the left of Eric.\n4. The person who uses a Samsung Galaxy S21 is not in the second house.\n5. Peter is not in the second house.\n\n\nChoices:\n0. iphone 13\n1. google pixel 6\n2. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`, `tulips`\n - People have unique favorite sports: `swimming`, `soccer`, `tennis`, `basketball`, `baseball`\n - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Kailyn is the person who loves basketball.\n2. Arnold is somewhere to the left of the person who loves baseball.\n3. The person who loves basketball is the person who loves a carnations arrangement.\n4. The person who loves the rose bouquet is Bob.\n5. The person who loves baseball is The person whose mother's name is Holly.\n6. The person whose mother's name is Aniya is directly left of Peter.\n7. The person who loves tennis is The person whose mother's name is Janelle.\n8. The person who loves the rose bouquet is somewhere to the left of the person who loves swimming.\n9. The person who loves a bouquet of daffodils is in the fifth house.\n10. The person who loves tennis and the person who loves the boquet of lilies are next to each other.\n11. The person who loves the rose bouquet is directly left of Alice.\n12. The person who loves basketball is in the second house.\n13. There are two houses between Eric and the person who loves baseball.\n\n\nChoices:\n0. carnations\n1. lilies\n2. tulips\n3. daffodils\n4. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `google pixel 6`, `samsung galaxy s21`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`, `roses`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who enjoys mountain retreats.\n2. Arnold is not in the second house.\n3. The person who loves a bouquet of daffodils is directly left of the person who loves a carnations arrangement.\n4. The person who uses a OnePlus 9 is not in the first house.\n5. The person who uses an iPhone 13 is somewhere to the right of Eric.\n6. The person who loves the rose bouquet is the person who uses a Samsung Galaxy S21.\n7. The person who enjoys mountain retreats is in the third house.\n8. The person who loves a carnations arrangement is directly left of the person who loves the boquet of lilies.\n9. The person who prefers city breaks is not in the second house.\n10. The person who uses a OnePlus 9 is Arnold.\n11. The person who prefers city breaks is somewhere to the left of the person who loves the boquet of lilies.\n12. The person who likes going on cruises is Peter.\n\n\nChoices:\n0. beach\n1. mountain\n2. cruise\n3. city\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique heights: `very short`, `short`\n\n## Clues:\n1. The person who is short is somewhere to the right of the person who loves yellow.\n2. The person who loves science fiction books is in the second house.\n3. The person whose birthday is in April is the person who loves yellow.\n4. Arnold is the person who loves science fiction books.\n\n\nChoices:\n0. science fiction\n1. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n\n## Clues:\n1. The person's child is named Fred is Peter.\n2. The person's child is named Fred is not in the second house.\n3. The person's child is named Bella is in the first house.\n4. The person who likes Cherry smoothies is directly left of Peter.\n5. The person who likes Cherry smoothies is Eric.\n6. The Desert smoothie lover is Peter.\n\n\nChoices:\n0. watermelon\n1. cherry\n2. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`\n\n## Clues:\n1. The person who is a pizza lover is Eric.\n2. The person with a bachelor's degree is directly left of the Swedish person.\n3. The person who is a pizza lover is in the first house.\n4. The person with a bachelor's degree is the person who loves eating grilled cheese.\n5. The person living in a colonial-style house and the person who loves eating grilled cheese are next to each other.\n6. Arnold is the person who loves eating grilled cheese.\n7. The British person is the person with a high school diploma.\n8. The person with a bachelor's degree is directly left of the person residing in a Victorian house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - The people keep unique animals: `fish`, `cat`, `bird`, `horse`, `dog`\n - Each person has a unique level of education: `doctorate`, `associate`, `bachelor`, `master`, `high school`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`, `tulips`\n\n## Clues:\n1. The person with an associate's degree is not in the first house.\n2. Arnold is directly left of Alice.\n3. The bird keeper is somewhere to the right of Peter.\n4. Eric is in the second house.\n5. The fish enthusiast is the person who loves the boquet of lilies.\n6. The fish enthusiast is somewhere to the left of the person with a master's degree.\n7. The person with a high school diploma is directly left of the person who loves the vase of tulips.\n8. The person with a bachelor's degree is not in the fifth house.\n9. The person who keeps horses is somewhere to the left of the person with a high school diploma.\n10. The person with a bachelor's degree is the bird keeper.\n11. The dog owner is the person who loves the rose bouquet.\n12. The person who loves a carnations arrangement is in the third house.\n13. The person with an associate's degree is not in the second house.\n14. Peter is in the third house.\n\n\nChoices:\n0. dog\n1. fish\n2. cat\n3. horse\n4. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Eric`, `Peter`\n - People have unique favorite book genres: `romance`, `mystery`, `biography`, `fantasy`, `science fiction`\n - Each person has a unique birthday month: `sept`, `feb`, `jan`, `mar`, `april`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `city`, `camping`, `cruise`\n - The people keep unique animals: `horse`, `bird`, `fish`, `dog`, `cat`\n\n## Clues:\n1. The person whose birthday is in April is the person who loves mystery books.\n2. The person whose birthday is in March is somewhere to the left of the person who loves mystery books.\n3. The person who loves beach vacations is Arnold.\n4. The person who loves beach vacations is the person whose birthday is in January.\n5. The bird keeper is directly left of Peter.\n6. The person who loves science fiction books is somewhere to the left of the person whose birthday is in February.\n7. The fish enthusiast is somewhere to the right of Bob.\n8. The fish enthusiast is Eric.\n9. The fish enthusiast is the person who loves fantasy books.\n10. The person who enjoys mountain retreats is directly left of the person whose birthday is in April.\n11. The person whose birthday is in April is the person who enjoys camping trips.\n12. The person whose birthday is in September is the person who loves science fiction books.\n13. The cat lover is the person who prefers city breaks.\n14. The person who loves romance books is somewhere to the right of the person who loves science fiction books.\n15. The cat lover is the person whose birthday is in February.\n16. The person who keeps horses is Peter.\n\n\nChoices:\n0. cat\n1. fish\n2. horse\n3. dog\n4. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - Each person has a unique hobby: `gardening`, `photography`, `cooking`\n\n## Clues:\n1. The tea drinker is in the second house.\n2. Peter is the tea drinker.\n3. Eric is somewhere to the right of the photography enthusiast.\n4. The one who only drinks water is the person who enjoys gardening.\n5. Arnold is the photography enthusiast.\n\n\nChoices:\n0. photography\n1. gardening\n2. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - Each person has a unique birthday month: `feb`, `april`, `jan`, `sept`\n\n## Clues:\n1. Eric is the person whose birthday is in September.\n2. The person whose birthday is in September is in the fourth house.\n3. Alice is not in the second house.\n4. Arnold is not in the third house.\n5. The person whose birthday is in January is Arnold.\n6. There is one house between Arnold and the person whose birthday is in April.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`, `Bob`\n - People use unique phone models: `samsung galaxy s21`, `huawei p50`, `oneplus 9`, `iphone 13`, `google pixel 6`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `watermelon`, `cherry`, `lime`\n - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Penny`, `Aniya`, `Kailyn`\n - Each person has an occupation: `doctor`, `lawyer`, `engineer`, `teacher`, `artist`\n\n## Clues:\n1. The person whose mother's name is Kailyn is Peter.\n2. The Dragonfruit smoothie lover is not in the fourth house.\n3. The person who uses an iPhone 13 is the person who is an artist.\n4. The person whose mother's name is Aniya is Arnold.\n5. The person whose mother's name is Aniya is the Desert smoothie lover.\n6. The person whose mother's name is Aniya is in the second house.\n7. The person who drinks Lime smoothies is in the first house.\n8. The person who uses a Huawei P50 is the person who is a doctor.\n9. Eric is the person who drinks Lime smoothies.\n10. There is one house between the person who is a teacher and Bob.\n11. The person whose mother's name is Aniya is the person who is a lawyer.\n12. The person who uses an iPhone 13 is the person who likes Cherry smoothies.\n13. Arnold is the person who uses a OnePlus 9.\n14. The person who is a doctor is The person whose mother's name is Penny.\n15. Peter is the person who uses a Samsung Galaxy S21.\n16. Bob is not in the third house.\n17. The person whose mother's name is Holly is directly left of Peter.\n\n\nChoices:\n0. lawyer\n1. doctor\n2. engineer\n3. artist\n4. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - The people are of nationalities: `dane`, `brit`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The Desert smoothie lover is not in the second house.\n2. The Desert smoothie lover is Eric.\n3. The Dane is The person whose mother's name is Holly.\n4. Eric is The person whose mother's name is Holly.\n5. Eric is the person who loves mystery books.\n\n\nChoices:\n0. Aniya\n1. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`\n - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person who loves eating grilled cheese.\n2. Arnold is not in the first house.\n3. Peter is directly left of the person who enjoys gardening.\n4. The person who loves eating grilled cheese and Peter are next to each other.\n5. There are two houses between the person who loves jazz music and Arnold.\n6. The person who loves cooking is the person who loves rock music.\n7. The person who loves pop music is the person who paints as a hobby.\n8. The person who paints as a hobby is Alice.\n9. The person who enjoys gardening is the person who loves the spaghetti eater.\n\n\nChoices:\n0. Arnold\n1. Alice\n2. Eric\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Peter`, `Eric`, `Arnold`\n - People have unique favorite sports: `swimming`, `basketball`, `soccer`, `tennis`, `baseball`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`, `Samantha`, `Timothy`\n - Each person has a unique birthday month: `april`, `feb`, `sept`, `jan`, `mar`\n\n## Clues:\n1. The person who loves soccer is the person's child is named Fred.\n2. The person whose birthday is in April is somewhere to the left of the person who loves soccer.\n3. The person whose birthday is in January is Peter.\n4. The person who loves baseball is the person whose birthday is in September.\n5. The person who is the mother of Timothy is the person who loves baseball.\n6. There are two houses between the person whose birthday is in February and Peter.\n7. Eric is directly left of the person who loves basketball.\n8. Eric is the person who loves tennis.\n9. The person's child is named Meredith is directly left of Peter.\n10. Alice is directly left of the person whose birthday is in September.\n11. The person's child is named Bella is somewhere to the left of the person's child is named Samantha.\n12. Eric is in the third house.\n13. The person who loves soccer is Arnold.\n\n\nChoices:\n0. tennis\n1. soccer\n2. basketball\n3. swimming\n4. baseball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Bob`, `Alice`\n - Each person has a unique type of pet: `fish`, `dog`, `cat`, `bird`, `hamster`\n - People have unique hair colors: `black`, `red`, `gray`, `blonde`, `brown`\n - People have unique heights: `tall`, `very tall`, `very short`, `short`, `average`\n - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Holly`, `Aniya`, `Kailyn`\n\n## Clues:\n1. The person who has red hair is the person who keeps a pet bird.\n2. The person whose mother's name is Kailyn is Eric.\n3. There is one house between the person who has gray hair and the person who has a cat.\n4. The person whose mother's name is Janelle is Peter.\n5. The person who is tall is directly left of The person whose mother's name is Janelle.\n6. The person who has an average height is directly left of the person who has brown hair.\n7. The person whose mother's name is Kailyn is the person who is very short.\n8. The person who is very tall is somewhere to the right of The person whose mother's name is Janelle.\n9. The person whose mother's name is Penny is in the first house.\n10. The person with a pet hamster is in the first house.\n11. The person who is tall is the person with an aquarium of fish.\n12. The person whose mother's name is Kailyn is somewhere to the left of The person whose mother's name is Aniya.\n13. The person who owns a dog is in the fifth house.\n14. The person whose mother's name is Kailyn is directly left of the person who has black hair.\n15. Bob is somewhere to the left of the person with an aquarium of fish.\n16. The person who keeps a pet bird is directly left of Arnold.\n\n\nChoices:\n0. gray\n1. brown\n2. red\n3. black\n4. blonde\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The people are of nationalities: `swede`, `dane`, `brit`\n - People have unique hair colors: `blonde`, `brown`, `black`\n - Each person has a unique hobby: `cooking`, `gardening`, `photography`\n\n## Clues:\n1. The Dane is the person who enjoys gardening.\n2. The person who has blonde hair and the British person are next to each other.\n3. Arnold is somewhere to the left of the person who has black hair.\n4. The Swedish person is Arnold.\n5. The photography enthusiast is not in the third house.\n6. The person who has brown hair is not in the third house.\n7. The person who has blonde hair is not in the third house.\n8. The photography enthusiast is Eric.\n9. The Swedish person is not in the second house.\n\n\nChoices:\n0. dane\n1. swede\n2. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`\n - People have unique hair colors: `brown`, `black`, `blonde`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. Arnold is the person whose birthday is in January.\n2. The person whose mother's name is Janelle is the person who has brown hair.\n3. The person who has black hair is not in the second house.\n4. The person who has black hair is the person whose birthday is in April.\n5. The person whose mother's name is Aniya is Eric.\n6. The person whose mother's name is Janelle is the person who owns a Toyota Camry.\n7. The person who has black hair is The person whose mother's name is Aniya.\n8. The person whose birthday is in September and the person who owns a Tesla Model 3 are next to each other.\n9. Arnold is the person who has brown hair.\n10. The person who owns a Toyota Camry is somewhere to the left of the person who owns a Ford F-150.\n\n\nChoices:\n0. Holly\n1. Janelle\n2. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people keep unique animals: `horse`, `cat`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - Each person has a unique level of education: `high school`, `associate`\n\n## Clues:\n1. The cat lover is somewhere to the right of the person with an associate's degree.\n2. The Prince smoker is the person who loves basketball.\n3. The person who keeps horses is somewhere to the left of the person who loves soccer.\n4. The person who loves basketball is Eric.\n\n\nChoices:\n0. high school\n1. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique birthday month: `sept`, `april`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Holly is Eric.\n2. Arnold is the person whose birthday is in April.\n3. Eric is not in the second house.\n\n\nChoices:\n0. Aniya\n1. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - The people keep unique animals: `cat`, `horse`, `bird`\n\n## Clues:\n1. The Prince smoker is The person whose mother's name is Janelle.\n2. The person's child is named Bella is somewhere to the left of the person's child is named Meredith.\n3. Peter is the person partial to Pall Mall.\n4. There is one house between the cat lover and Eric.\n5. The person whose mother's name is Aniya is the person's child is named Bella.\n6. The person's child is named Meredith is Peter.\n7. The bird keeper is somewhere to the right of Peter.\n\n\nChoices:\n0. bird\n1. horse\n2. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`\n\n## Clues:\n1. The person with an associate's degree is in the second house.\n2. Peter is in the third house.\n3. The person with a high school diploma is somewhere to the left of Eric.\n\n\nChoices:\n0. associate\n1. bachelor\n2. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - People own unique car models: `ford f150`, `tesla model 3`\n - People have unique favorite music genres: `pop`, `rock`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. The person who enjoys gardening is in the second house.\n2. The person who has a cat is the person who owns a Tesla Model 3.\n3. The photography enthusiast is Arnold.\n4. The person who owns a Ford F-150 is the person who enjoys gardening.\n5. The person who loves pop music is in the second house.\n\n\nChoices:\n0. pop\n1. rock\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`, `tulips`\n - People have unique favorite sports: `swimming`, `soccer`, `tennis`, `basketball`, `baseball`\n - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Kailyn is the person who loves basketball.\n2. Arnold is somewhere to the left of the person who loves baseball.\n3. The person who loves basketball is the person who loves a carnations arrangement.\n4. The person who loves the rose bouquet is Bob.\n5. The person who loves baseball is The person whose mother's name is Holly.\n6. The person whose mother's name is Aniya is directly left of Peter.\n7. The person who loves tennis is The person whose mother's name is Janelle.\n8. The person who loves the rose bouquet is somewhere to the left of the person who loves swimming.\n9. The person who loves a bouquet of daffodils is in the fifth house.\n10. The person who loves tennis and the person who loves the boquet of lilies are next to each other.\n11. The person who loves the rose bouquet is directly left of Alice.\n12. The person who loves basketball is in the second house.\n13. There are two houses between Eric and the person who loves baseball.\n\n\nChoices:\n0. tulips\n1. carnations\n2. daffodils\n3. lilies\n4. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`\n - Each person has a unique birthday month: `april`, `feb`, `sept`, `jan`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`, `craftsman`\n\n## Clues:\n1. Peter is the person whose birthday is in February.\n2. The person whose birthday is in February is not in the fourth house.\n3. The person whose birthday is in January is somewhere to the right of the person in a ranch-style home.\n4. The person whose birthday is in January is directly left of Eric.\n5. The person in a ranch-style home is the person whose birthday is in April.\n6. The person whose mother's name is Janelle is the person whose birthday is in September.\n7. The person in a ranch-style home and The person whose mother's name is Kailyn are next to each other.\n8. Arnold is The person whose mother's name is Holly.\n9. The person whose mother's name is Kailyn is directly left of the person residing in a Victorian house.\n10. The person whose birthday is in January is the person in a Craftsman-style house.\n\n\nChoices:\n0. craftsman\n1. victorian\n2. colonial\n3. ranch\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`, `tulips`\n - People have unique favorite sports: `swimming`, `soccer`, `tennis`, `basketball`, `baseball`\n - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Kailyn is the person who loves basketball.\n2. Arnold is somewhere to the left of the person who loves baseball.\n3. The person who loves basketball is the person who loves a carnations arrangement.\n4. The person who loves the rose bouquet is Bob.\n5. The person who loves baseball is The person whose mother's name is Holly.\n6. The person whose mother's name is Aniya is directly left of Peter.\n7. The person who loves tennis is The person whose mother's name is Janelle.\n8. The person who loves the rose bouquet is somewhere to the left of the person who loves swimming.\n9. The person who loves a bouquet of daffodils is in the fifth house.\n10. The person who loves tennis and the person who loves the boquet of lilies are next to each other.\n11. The person who loves the rose bouquet is directly left of Alice.\n12. The person who loves basketball is in the second house.\n13. There are two houses between Eric and the person who loves baseball.\n\n\nChoices:\n0. tennis\n1. swimming\n2. basketball\n3. baseball\n4. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `bird`, `fish`, `cat`, `dog`\n - Each person has an occupation: `doctor`, `engineer`, `lawyer`, `artist`, `teacher`\n - Each person lives in a unique style of house: `colonial`, `modern`, `ranch`, `craftsman`, `victorian`\n - Each person has a unique level of education: `high school`, `bachelor`, `master`, `doctorate`, `associate`\n\n## Clues:\n1. There are two houses between the person with a master's degree and the person in a modern-style house.\n2. The person with an aquarium of fish is the person who is an artist.\n3. The person who has a cat is the person who is an engineer.\n4. The person with a bachelor's degree is the person with an aquarium of fish.\n5. The person who has a cat is somewhere to the right of the person with an associate's degree.\n6. The person with a master's degree is the person who is a lawyer.\n7. The person who is a teacher is somewhere to the right of the person who keeps a pet bird.\n8. The person with an associate's degree is the person living in a colonial-style house.\n9. Peter is the person in a Craftsman-style house.\n10. The person residing in a Victorian house is in the second house.\n11. The person who is a teacher is Bob.\n12. The person with an associate's degree is in the fourth house.\n13. The person with a bachelor's degree is somewhere to the right of the person with a high school diploma.\n14. There is one house between the person who owns a dog and the person in a ranch-style home.\n15. Bob is somewhere to the right of Alice.\n16. Eric is the person with a bachelor's degree.\n\n\nChoices:\n0. teacher\n1. lawyer\n2. artist\n3. doctor\n4. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`\n\n## Clues:\n1. Peter is directly left of the person who enjoys mountain retreats.\n2. The person who prefers city breaks is Arnold.\n3. Eric is in the third house.\n\n\nChoices:\n0. city\n1. mountain\n2. beach\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n\n## Clues:\n1. The person who loves pop music is directly left of the tea drinker.\n2. The person who is a pizza lover is directly left of the person who loves classical music.\n3. Eric is the person who loves classical music.\n4. Arnold is the person who loves pop music.\n5. The person who loves the spaghetti eater is in the third house.\n6. The person who likes milk and Arnold are next to each other.\n\n\nChoices:\n0. tea\n1. water\n2. milk\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - Each person has a unique type of pet: `cat`, `dog`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. The person who is very short is the photography enthusiast.\n2. Eric is the person who is very short.\n3. The person who has a cat is somewhere to the right of the person who is very short.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`\n - People own unique car models: `tesla model 3`, `ford f150`, `toyota camry`\n\n## Clues:\n1. The person's child is named Bella is somewhere to the right of Arnold.\n2. There is one house between Peter and the person who owns a Tesla Model 3.\n3. The person's child is named Meredith is directly left of the person's child is named Fred.\n4. The person's child is named Fred is somewhere to the right of the person who owns a Toyota Camry.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n2. toyota camry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. Eric is somewhere to the left of Arnold.\n2. The person who owns a dog is not in the first house.\n\n\nChoices:\n0. cat\n1. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blue master`, `pall mall`\n - People have unique favorite sports: `swimming`, `basketball`, `soccer`, `tennis`\n - Each person has a unique favorite drink: `coffee`, `water`, `milk`, `tea`\n\n## Clues:\n1. Peter is in the fourth house.\n2. The tea drinker is the person who loves basketball.\n3. Arnold is the person who smokes Blue Master.\n4. The person who loves basketball is Eric.\n5. The person who loves tennis is the person who smokes Blue Master.\n6. There are two houses between the one who only drinks water and Peter.\n7. The coffee drinker is Arnold.\n8. The person who loves basketball is in the third house.\n9. The Prince smoker is the person who loves soccer.\n10. Peter is the person partial to Pall Mall.\n\n\nChoices:\n0. tennis\n1. soccer\n2. swimming\n3. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Alice`, `Eric`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `blends`, `pall mall`\n - People have unique favorite music genres: `rock`, `classical`, `hip hop`, `pop`, `jazz`\n - Each person has a unique birthday month: `feb`, `april`, `sept`, `jan`, `mar`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`, `biography`, `fantasy`\n\n## Clues:\n1. The person who loves pop music is the person who loves romance books.\n2. The person who loves fantasy books is in the second house.\n3. The person who smokes Blue Master is the person who loves science fiction books.\n4. The person who loves hip-hop music is the person whose birthday is in September.\n5. The person who loves biography books is Arnold.\n6. Alice is the person who loves science fiction books.\n7. The person who loves jazz music is somewhere to the left of Eric.\n8. The person who smokes Blue Master is the person whose birthday is in April.\n9. The person who smokes many unique blends is not in the third house.\n10. The Dunhill smoker is the person whose birthday is in February.\n11. The person who loves science fiction books is in the fifth house.\n12. The person who loves classical music is Bob.\n13. The person who loves pop music is Eric.\n14. The person who loves mystery books is the person partial to Pall Mall.\n15. Peter is the person whose birthday is in February.\n16. The person whose birthday is in March is the person who smokes many unique blends.\n17. The person who loves classical music is not in the first house.\n\n\nChoices:\n0. hip hop\n1. rock\n2. classical\n3. pop\n4. jazz\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Bob`, `Eric`\n - Each person has a unique hobby: `photography`, `cooking`, `knitting`, `gardening`, `painting`\n - Each person has a unique favorite drink: `root beer`, `milk`, `water`, `coffee`, `tea`\n\n## Clues:\n1. Eric is the coffee drinker.\n2. The tea drinker is the person who paints as a hobby.\n3. The person who enjoys knitting is not in the fourth house.\n4. Peter is not in the fourth house.\n5. Eric is somewhere to the right of the root beer lover.\n6. Arnold is the person who loves cooking.\n7. The one who only drinks water is somewhere to the right of the person who enjoys gardening.\n8. There is one house between Bob and the person who paints as a hobby.\n9. The person who enjoys gardening is directly left of the root beer lover.\n10. The photography enthusiast is the one who only drinks water.\n\n\nChoices:\n0. milk\n1. water\n2. root beer\n3. tea\n4. coffee\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `tesla model 3`, `ford f150`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. The person who keeps horses is in the second house.\n2. The person who loves basketball is somewhere to the left of the person who loves eating grilled cheese.\n3. Arnold is directly left of the person who owns a Ford F-150.\n\n\nChoices:\n0. tesla model 3\n1. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Bob`, `Alice`\n - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blends`, `pall mall`, `blue master`\n - Everyone has a favorite smoothie: `lime`, `cherry`, `dragonfruit`, `watermelon`, `desert`\n - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `iphone 13`, `huawei p50`, `google pixel 6`\n\n## Clues:\n1. The Prince smoker is the Desert smoothie lover.\n2. There is one house between Eric and Alice.\n3. The person who is short is the person who smokes many unique blends.\n4. The person who uses an iPhone 13 is directly left of the person who smokes Blue Master.\n5. The person who has an average height is the Dunhill smoker.\n6. Eric is the person who is very tall.\n7. Arnold is directly left of the person who uses a Huawei P50.\n8. Bob is not in the fourth house.\n9. Eric is directly left of the person who likes Cherry smoothies.\n10. Bob is the Dunhill smoker.\n11. The Dragonfruit smoothie lover is Bob.\n12. The person who uses an iPhone 13 and the person who uses a OnePlus 9 are next to each other.\n13. The person who uses a Samsung Galaxy S21 is the person who is short.\n14. There are two houses between the person who is very tall and the Dragonfruit smoothie lover.\n15. The person who uses an iPhone 13 is Eric.\n16. The Desert smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n17. Arnold and the person who is very short are next to each other.\n\n\nChoices:\n0. pall mall\n1. prince\n2. blends\n3. dunhill\n4. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - Each person has a unique type of pet: `cat`, `dog`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. The person who enjoys gardening is in the second house.\n2. The photography enthusiast is the person who is an engineer.\n3. The person who is a doctor is Eric.\n4. The person who has a cat is in the first house.\n\n\nChoices:\n0. dog\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people keep unique animals: `horse`, `cat`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - The people are of nationalities: `dane`, `brit`\n\n## Clues:\n1. Arnold is the cat lover.\n2. The Dane is somewhere to the right of the Prince smoker.\n3. Eric is the British person.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Bob`, `Peter`\n - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `tulips`, `daffodils`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `mar`, `jan`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`, `stir fry`, `stew`\n - Each person lives in a unique style of house: `colonial`, `craftsman`, `victorian`, `ranch`, `modern`\n\n## Clues:\n1. The person whose birthday is in September is the person who loves the spaghetti eater.\n2. The person whose birthday is in February is Alice.\n3. The person in a Craftsman-style house is Eric.\n4. The person who loves the stew is the person in a modern-style house.\n5. The person who loves the vase of tulips is somewhere to the left of the person who is a pizza lover.\n6. The person who loves the stew is in the fourth house.\n7. The person whose birthday is in March is in the third house.\n8. The person whose birthday is in September is in the first house.\n9. The person who loves the boquet of lilies is the person whose birthday is in February.\n10. The person residing in a Victorian house is directly left of the person who is a pizza lover.\n11. The person whose birthday is in January is the person who loves a carnations arrangement.\n12. The person who loves eating grilled cheese is directly left of the person who loves the stew.\n13. The person living in a colonial-style house is the person whose birthday is in March.\n14. The person who is a pizza lover is somewhere to the left of Arnold.\n15. There is one house between the person who loves the rose bouquet and the person whose birthday is in April.\n16. The person in a modern-style house is Peter.\n\n\nChoices:\n0. roses\n1. carnations\n2. daffodils\n3. tulips\n4. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`\n\n## Clues:\n1. Arnold is somewhere to the left of the person who loves romance books.\n2. The person who loves soccer is the person who loves a carnations arrangement.\n3. The person who loves mystery books is the person whose birthday is in September.\n4. The person who loves tennis is in the second house.\n5. Peter is the person who loves a bouquet of daffodils.\n6. Eric is somewhere to the left of the person whose birthday is in April.\n7. The person who loves science fiction books is somewhere to the right of the person who loves tennis.\n\n\nChoices:\n0. daffodils\n1. lilies\n2. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`, `dragonfruit`\n - Each person has a favorite color: `green`, `white`, `red`, `yellow`\n\n## Clues:\n1. The Dragonfruit smoothie lover is Eric.\n2. The person who likes Cherry smoothies is in the second house.\n3. The Dragonfruit smoothie lover is in the fourth house.\n4. Arnold is the Watermelon smoothie lover.\n5. The person who loves white is in the first house.\n6. Peter is the person who loves white.\n7. The person who loves yellow is the Watermelon smoothie lover.\n8. The Dragonfruit smoothie lover is the person whose favorite color is red.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique birthday month: `april`, `sept`\n - People own unique car models: `ford f150`, `tesla model 3`\n - The people are of nationalities: `dane`, `brit`\n\n## Clues:\n1. The Dane is not in the second house.\n2. The person who owns a Tesla Model 3 is Arnold.\n3. The person who owns a Tesla Model 3 is not in the second house.\n4. The person who owns a Tesla Model 3 is the person whose birthday is in September.\n\n\nChoices:\n0. tesla model 3\n1. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Bob`, `Alice`\n - People have unique hair colors: `brown`, `blonde`, `black`, `gray`, `red`\n - Each person prefers a unique type of vacation: `beach`, `camping`, `city`, `cruise`, `mountain`\n - Each person has an occupation: `doctor`, `lawyer`, `engineer`, `teacher`, `artist`\n - People have unique favorite music genres: `jazz`, `pop`, `hip hop`, `classical`, `rock`\n\n## Clues:\n1. Alice is the person who has brown hair.\n2. The person who is a teacher is somewhere to the right of the person who is an artist.\n3. The person who has blonde hair is in the first house.\n4. The person who prefers city breaks is not in the fourth house.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who loves beach vacations is somewhere to the right of the person who is a lawyer.\n7. Eric is the person who has black hair.\n8. The person who is an engineer is the person who has red hair.\n9. The person who loves classical music is Bob.\n10. The person who loves hip-hop music is in the fifth house.\n11. The person who has blonde hair is the person who enjoys camping trips.\n12. The person who has red hair is in the second house.\n13. The person who is a teacher is the person who has gray hair.\n14. The person who loves jazz music is the person who has black hair.\n15. There is one house between the person who likes going on cruises and the person who has gray hair.\n16. The person who loves rock music is the person who has red hair.\n17. The person who is a lawyer is not in the third house.\n18. The person who has blonde hair is Arnold.\n\n\nChoices:\n0. pop\n1. hip hop\n2. classical\n3. rock\n4. jazz\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person whose birthday is in April is not in the third house.\n2. There is one house between the person who enjoys mountain retreats and the person who loves beach vacations.\n3. The person who loves soccer is Peter.\n4. The person who loves tennis is the person who prefers city breaks.\n5. Eric is directly left of the person who loves tennis.\n6. The person who loves beach vacations is the person who loves soccer.\n7. The person who prefers city breaks is the person whose birthday is in January.\n\n\nChoices:\n0. basketball\n1. tennis\n2. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n - Each person lives in a unique style of house: `colonial`, `craftsman`, `ranch`, `victorian`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Aniya`\n - Each mother is accompanied by their child: `Fred`, `Samantha`, `Meredith`, `Bella`\n\n## Clues:\n1. The person whose mother's name is Kailyn is in the second house.\n2. The person living in a colonial-style house is the person's child is named Meredith.\n3. There is one house between the person's child is named Samantha and The person whose mother's name is Janelle.\n4. The person in a ranch-style home is the person's child is named Fred.\n5. Eric is the person's child is named Bella.\n6. The person whose mother's name is Janelle is the person with an aquarium of fish.\n7. Arnold is the person in a Craftsman-style house.\n8. The person who keeps a pet bird and the person with an aquarium of fish are next to each other.\n9. The person whose mother's name is Holly is directly left of Peter.\n10. The person who has a cat is the person living in a colonial-style house.\n11. The person's child is named Fred is somewhere to the left of The person whose mother's name is Janelle.\n\n\nChoices:\n0. Aniya\n1. Janelle\n2. Holly\n3. Kailyn\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `pall mall`, `prince`\n - Everyone has something unique for lunch: `stew`, `spaghetti`, `pizza`, `grilled cheese`\n - People have unique favorite book genres: `fantasy`, `mystery`, `science fiction`, `romance`\n\n## Clues:\n1. Arnold is the person who loves eating grilled cheese.\n2. The person who smokes Blue Master is Alice.\n3. Arnold is in the second house.\n4. The person who is a pizza lover and the person who loves the stew are next to each other.\n5. Arnold is the person who loves science fiction books.\n6. The person partial to Pall Mall is the person who loves eating grilled cheese.\n7. Eric is somewhere to the left of Alice.\n8. The person who is a pizza lover is somewhere to the left of the Dunhill smoker.\n9. The person who loves fantasy books is the person who loves the stew.\n10. The person who loves mystery books is not in the first house.\n\n\nChoices:\n0. spaghetti\n1. grilled cheese\n2. stew\n3. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a favorite color: `red`, `yellow`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n\n## Clues:\n1. The person living in a colonial-style house is directly left of Arnold.\n2. The person whose favorite color is red is Arnold.\n3. Arnold is the person who is a doctor.\n4. The person who is an engineer is the person who enjoys mountain retreats.\n\n\nChoices:\n0. yellow\n1. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person has an occupation: `engineer`, `artist`, `doctor`, `teacher`, `lawyer`\n\n## Clues:\n1. The person who is an artist is in the third house.\n2. Arnold is somewhere to the left of Peter.\n3. Bob is the person who is an engineer.\n4. Peter and the person who is an engineer are next to each other.\n5. The person who is a teacher is not in the second house.\n6. The person who is a lawyer is Arnold.\n7. Eric is not in the third house.\n8. Alice is somewhere to the left of the person who is an engineer.\n9. Alice is not in the first house.\n10. Alice is not in the third house.\n\n\nChoices:\n0. lawyer\n1. engineer\n2. doctor\n3. artist\n4. teacher\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n\n## Clues:\n1. The person who loves rock music is in the third house.\n2. Peter is not in the second house.\n3. The person who is a pizza lover is not in the first house.\n4. The person who loves the spaghetti eater is in the fourth house.\n5. Arnold is in the third house.\n6. Eric is in the fourth house.\n7. Peter is the person who loves pop music.\n8. The person who loves classical music is the person who loves the stew.\n\n\nChoices:\n0. stew\n1. spaghetti\n2. pizza\n3. grilled cheese\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - The people are of nationalities: `brit`, `dane`\n - The people keep unique animals: `horse`, `cat`\n - Each person has a unique type of pet: `cat`, `dog`\n\n## Clues:\n1. The person who owns a dog is somewhere to the left of the Dane.\n2. The Dane is Eric.\n3. The person who keeps horses is in the first house.\n\n\nChoices:\n0. cat\n1. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique hair colors: `brown`, `black`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n\n## Clues:\n1. The Prince smoker is directly left of the person with a high school diploma.\n2. The Prince smoker and Arnold are next to each other.\n3. The person whose favorite color is red is Arnold.\n4. The person who has black hair is the Prince smoker.\n\n\nChoices:\n0. high school\n1. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n\n## Clues:\n1. Eric is in the second house.\n2. Eric is directly left of Peter.\n3. The person who is an engineer is not in the second house.\n4. The person who is a doctor is the person who loves cooking.\n5. The photography enthusiast is directly left of the person who is a teacher.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`, `Bob`\n - Each person has a favorite color: `red`, `green`, `white`, `blue`, `yellow`\n - Each mother is accompanied by their child: `Bella`, `Timothy`, `Samantha`, `Meredith`, `Fred`\n - They all have a unique favorite flower: `tulips`, `daffodils`, `carnations`, `lilies`, `roses`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Eric is the person who is the mother of Timothy.\n3. Alice and Bob are next to each other.\n4. The person who loves blue is not in the fourth house.\n5. The person's child is named Samantha is the person who loves the vase of tulips.\n6. The person who loves the vase of tulips is Alice.\n7. The person's child is named Fred is the person whose favorite color is red.\n8. The person's child is named Bella is in the first house.\n9. There is one house between the person who loves blue and the person who loves yellow.\n10. The person who loves yellow is the person who loves the rose bouquet.\n11. The person's child is named Meredith is somewhere to the left of Bob.\n12. The person who loves white is not in the second house.\n13. The person who loves a carnations arrangement is not in the second house.\n14. The person who loves white is Arnold.\n15. The person who loves the boquet of lilies is in the first house.\n\n\nChoices:\n0. roses\n1. daffodils\n2. carnations\n3. lilies\n4. tulips\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Arnold`, `Alice`\n - The people keep unique animals: `dog`, `cat`, `fish`, `horse`, `bird`\n\n## Clues:\n1. The person who keeps horses is in the second house.\n2. Bob is directly left of the bird keeper.\n3. The dog owner is in the fifth house.\n4. The person who keeps horses is somewhere to the left of Arnold.\n5. Eric and the cat lover are next to each other.\n6. The cat lover is directly left of the dog owner.\n7. Peter is in the fifth house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n3. Alice\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n\n## Clues:\n1. Eric is in the second house.\n2. The person who loves soccer is somewhere to the right of the person who loves basketball.\n3. The Dane is somewhere to the right of Arnold.\n4. The British person is somewhere to the right of the person who loves tennis.\n5. The British person is not in the third house.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Each person has a unique type of pet: `cat`, `fish`, `bird`, `dog`\n\n## Clues:\n1. There is one house between Arnold and the person who has a cat.\n2. Alice is the person who has a cat.\n3. The person who owns a dog is in the fourth house.\n4. Alice is not in the first house.\n5. The person who has a cat is somewhere to the left of Eric.\n6. Arnold is the person with an aquarium of fish.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - People have unique favorite book genres: `science fiction`, `romance`, `mystery`\n\n## Clues:\n1. The person who likes Cherry smoothies is somewhere to the left of the person who loves mystery books.\n2. Arnold is the person who loves mystery books.\n3. The person who loves science fiction books is not in the first house.\n4. The Desert smoothie lover is directly left of the person who loves mystery books.\n5. Peter is in the first house.\n\n\nChoices:\n0. science fiction\n1. mystery\n2. romance\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique hair colors: `brown`, `black`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. The person who has black hair is not in the first house.\n2. Eric is in the second house.\n3. The person who loves eating grilled cheese is Eric.\n4. The Prince smoker is the person who has black hair.\n\n\nChoices:\n0. prince\n1. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `tesla model 3`, `ford f150`, `toyota camry`\n - Everyone has a unique favorite cigar: `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the first house.\n2. The person who owns a Tesla Model 3 is the person who is a teacher.\n3. The person who loves basketball is in the first house.\n4. The person partial to Pall Mall is the person who is a teacher.\n5. Arnold is in the second house.\n6. Arnold is somewhere to the right of the Prince smoker.\n7. The person who loves tennis is Arnold.\n8. The person who is an engineer is Arnold.\n9. Eric is the person partial to Pall Mall.\n\n\nChoices:\n0. tennis\n1. soccer\n2. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Bob`, `Alice`\n - People have unique hair colors: `brown`, `blonde`, `black`, `gray`, `red`\n - Each person prefers a unique type of vacation: `beach`, `camping`, `city`, `cruise`, `mountain`\n - Each person has an occupation: `doctor`, `lawyer`, `engineer`, `teacher`, `artist`\n - People have unique favorite music genres: `jazz`, `pop`, `hip hop`, `classical`, `rock`\n\n## Clues:\n1. Alice is the person who has brown hair.\n2. The person who is a teacher is somewhere to the right of the person who is an artist.\n3. The person who has blonde hair is in the first house.\n4. The person who prefers city breaks is not in the fourth house.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who loves beach vacations is somewhere to the right of the person who is a lawyer.\n7. Eric is the person who has black hair.\n8. The person who is an engineer is the person who has red hair.\n9. The person who loves classical music is Bob.\n10. The person who loves hip-hop music is in the fifth house.\n11. The person who has blonde hair is the person who enjoys camping trips.\n12. The person who has red hair is in the second house.\n13. The person who is a teacher is the person who has gray hair.\n14. The person who loves jazz music is the person who has black hair.\n15. There is one house between the person who likes going on cruises and the person who has gray hair.\n16. The person who loves rock music is the person who has red hair.\n17. The person who is a lawyer is not in the third house.\n18. The person who has blonde hair is Arnold.\n\n\nChoices:\n0. artist\n1. engineer\n2. lawyer\n3. teacher\n4. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`\n - People own unique car models: `toyota camry`, `tesla model 3`, `bmw 3 series`, `honda civic`, `ford f150`\n - Each person has a favorite color: `blue`, `red`, `green`, `white`, `yellow`\n - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Holly`, `Kailyn`, `Aniya`\n\n## Clues:\n1. The person who owns a Honda Civic is the person who loves yellow.\n2. The person whose favorite color is red is the person who owns a Tesla Model 3.\n3. The person who owns a BMW 3 Series is not in the fourth house.\n4. The person whose mother's name is Aniya is the person who loves blue.\n5. The person whose favorite color is green is Eric.\n6. The person whose favorite color is red is somewhere to the left of the person who owns a Ford F-150.\n7. Alice is directly left of Eric.\n8. The person whose mother's name is Holly is in the first house.\n9. Arnold is the person who loves white.\n10. The person whose mother's name is Janelle is the person who loves white.\n11. The person whose mother's name is Kailyn is Alice.\n12. Arnold is somewhere to the left of Peter.\n13. The person who owns a BMW 3 Series is Eric.\n14. Bob and the person who owns a Ford F-150 are next to each other.\n\n\nChoices:\n0. tesla model 3\n1. bmw 3 series\n2. ford f150\n3. toyota camry\n4. honda civic\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People own unique car models: `toyota camry`, `tesla model 3`, `ford f150`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n\n## Clues:\n1. The person who loves science fiction books is directly left of the person who is a teacher.\n2. Arnold is in the third house.\n3. The person who owns a Ford F-150 is the person who is a teacher.\n4. The person who is an engineer is the person who owns a Toyota Camry.\n5. The person who is an engineer is somewhere to the right of the person who is a teacher.\n6. The person who loves mystery books is the person who is a teacher.\n7. The person who loves science fiction books is Eric.\n\n\nChoices:\n0. romance\n1. science fiction\n2. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `pall mall`, `prince`\n\n## Clues:\n1. The Prince smoker is not in the first house.\n2. The person partial to Pall Mall is Arnold.\n3. Eric is somewhere to the left of the person who smokes Blue Master.\n4. Alice is in the first house.\n5. There is one house between Arnold and the person who smokes Blue Master.\n\n\nChoices:\n0. blue master\n1. dunhill\n2. prince\n3. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Bob`, `Alice`\n - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blends`, `pall mall`, `blue master`\n - Everyone has a favorite smoothie: `lime`, `cherry`, `dragonfruit`, `watermelon`, `desert`\n - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `iphone 13`, `huawei p50`, `google pixel 6`\n\n## Clues:\n1. The Prince smoker is the Desert smoothie lover.\n2. There is one house between Eric and Alice.\n3. The person who is short is the person who smokes many unique blends.\n4. The person who uses an iPhone 13 is directly left of the person who smokes Blue Master.\n5. The person who has an average height is the Dunhill smoker.\n6. Eric is the person who is very tall.\n7. Arnold is directly left of the person who uses a Huawei P50.\n8. Bob is not in the fourth house.\n9. Eric is directly left of the person who likes Cherry smoothies.\n10. Bob is the Dunhill smoker.\n11. The Dragonfruit smoothie lover is Bob.\n12. The person who uses an iPhone 13 and the person who uses a OnePlus 9 are next to each other.\n13. The person who uses a Samsung Galaxy S21 is the person who is short.\n14. There are two houses between the person who is very tall and the Dragonfruit smoothie lover.\n15. The person who uses an iPhone 13 is Eric.\n16. The Desert smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n17. Arnold and the person who is very short are next to each other.\n\n\nChoices:\n0. dragonfruit\n1. lime\n2. desert\n3. watermelon\n4. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`, `Bob`\n - Everyone has a unique favorite cigar: `blends`, `prince`, `dunhill`, `pall mall`, `blue master`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. The person who smokes Blue Master is not in the fifth house.\n3. There is one house between Eric and the Dunhill smoker.\n4. Bob is somewhere to the left of the person partial to Pall Mall.\n5. Arnold is the Dunhill smoker.\n6. Bob is somewhere to the right of the person who smokes many unique blends.\n7. Alice is not in the first house.\n8. There are two houses between Eric and the person partial to Pall Mall.\n\n\nChoices:\n0. Peter\n1. Bob\n2. Alice\n3. Arnold\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - Each person has a unique birthday month: `april`, `sept`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves pop music is directly left of Eric.\n2. Eric is the person whose birthday is in September.\n3. The person whose birthday is in April is the person living in a colonial-style house.\n\n\nChoices:\n0. victorian\n1. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `google pixel 6`, `samsung galaxy s21`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`, `roses`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who enjoys mountain retreats.\n2. Arnold is not in the second house.\n3. The person who loves a bouquet of daffodils is directly left of the person who loves a carnations arrangement.\n4. The person who uses a OnePlus 9 is not in the first house.\n5. The person who uses an iPhone 13 is somewhere to the right of Eric.\n6. The person who loves the rose bouquet is the person who uses a Samsung Galaxy S21.\n7. The person who enjoys mountain retreats is in the third house.\n8. The person who loves a carnations arrangement is directly left of the person who loves the boquet of lilies.\n9. The person who prefers city breaks is not in the second house.\n10. The person who uses a OnePlus 9 is Arnold.\n11. The person who prefers city breaks is somewhere to the left of the person who loves the boquet of lilies.\n12. The person who likes going on cruises is Peter.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Arnold\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`\n - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person who loves eating grilled cheese.\n2. Arnold is not in the first house.\n3. Peter is directly left of the person who enjoys gardening.\n4. The person who loves eating grilled cheese and Peter are next to each other.\n5. There are two houses between the person who loves jazz music and Arnold.\n6. The person who loves cooking is the person who loves rock music.\n7. The person who loves pop music is the person who paints as a hobby.\n8. The person who paints as a hobby is Alice.\n9. The person who enjoys gardening is the person who loves the spaghetti eater.\n\n\nChoices:\n0. pop\n1. classical\n2. rock\n3. jazz\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`\n - People own unique car models: `toyota camry`, `bmw 3 series`, `ford f150`, `honda civic`, `tesla model 3`\n - Each person has a unique favorite drink: `tea`, `milk`, `water`, `root beer`, `coffee`\n - The people are of nationalities: `dane`, `brit`, `german`, `norwegian`, `swede`\n - People use unique phone models: `oneplus 9`, `iphone 13`, `google pixel 6`, `samsung galaxy s21`, `huawei p50`\n\n## Clues:\n1. The person who uses a Google Pixel 6 is somewhere to the right of the Dane.\n2. The person who uses a Google Pixel 6 is somewhere to the right of the root beer lover.\n3. The person who owns a Tesla Model 3 is the British person.\n4. The person who owns a Ford F-150 is the Dane.\n5. Eric is the tea drinker.\n6. The British person is directly left of the person who owns a Honda Civic.\n7. Peter is somewhere to the right of the person who likes milk.\n8. Bob is directly left of the Swedish person.\n9. The person who uses an iPhone 13 is somewhere to the right of the person who uses a Huawei P50.\n10. Arnold is the person who uses a Google Pixel 6.\n11. Eric is not in the third house.\n12. The person who owns a BMW 3 Series is somewhere to the right of the person who uses a Samsung Galaxy S21.\n13. The person who owns a Tesla Model 3 is not in the first house.\n14. Alice is somewhere to the left of the person who owns a Ford F-150.\n15. The person who uses a OnePlus 9 is somewhere to the right of the person who uses a Samsung Galaxy S21.\n16. The German is somewhere to the right of the person who owns a Tesla Model 3.\n17. Eric is not in the fourth house.\n18. Peter is directly left of the person who uses a Samsung Galaxy S21.\n19. The coffee drinker is Bob.\n\n\nChoices:\n0. coffee\n1. root beer\n2. milk\n3. tea\n4. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Arnold`, `Alice`\n - The people keep unique animals: `dog`, `fish`, `bird`, `horse`, `cat`\n - The people are of nationalities: `dane`, `swede`, `brit`, `german`, `norwegian`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Samantha`, `Fred`\n - Each person has a unique type of pet: `bird`, `fish`, `hamster`, `cat`, `dog`\n\n## Clues:\n1. The dog owner is not in the third house.\n2. The person who keeps a pet bird is in the fourth house.\n3. The German is Eric.\n4. Bob is somewhere to the left of the person's child is named Fred.\n5. The person with a pet hamster is Arnold.\n6. The British person is the dog owner.\n7. The person's child is named Meredith is not in the third house.\n8. The fish enthusiast is the person's child is named Samantha.\n9. The person who is the mother of Timothy is the German.\n10. The person who has a cat is in the fifth house.\n11. Peter is not in the fourth house.\n12. The Swedish person and the person's child is named Samantha are next to each other.\n13. The Swedish person is Peter.\n14. The Dane is in the second house.\n15. Eric and the cat lover are next to each other.\n16. The German is in the first house.\n17. The person with an aquarium of fish is somewhere to the right of the bird keeper.\n\n\nChoices:\n0. Bob\n1. Peter\n2. Arnold\n3. Eric\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `tennis`, `swimming`, `basketball`, `soccer`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `craftsman`, `ranch`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `desert`, `dragonfruit`\n - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`\n\n## Clues:\n1. Alice and the person in a Craftsman-style house are next to each other.\n2. The Desert smoothie lover is in the first house.\n3. The Dragonfruit smoothie lover is Eric.\n4. The person in a ranch-style home is somewhere to the right of the person living in a colonial-style house.\n5. The person who is a doctor is not in the second house.\n6. Peter is the person who likes Cherry smoothies.\n7. The person who is an artist is the Dragonfruit smoothie lover.\n8. Alice is in the third house.\n9. The person who is an engineer is somewhere to the right of the person who loves swimming.\n10. The person who loves basketball is the person who is an artist.\n11. The Dragonfruit smoothie lover is not in the second house.\n12. The person residing in a Victorian house is directly left of the person who loves soccer.\n13. The person who loves tennis is somewhere to the left of the person who loves swimming.\n\n\nChoices:\n0. teacher\n1. artist\n2. engineer\n3. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - People have unique hair colors: `black`, `blonde`, `brown`, `red`\n - People own unique car models: `tesla model 3`, `ford f150`, `honda civic`, `toyota camry`\n\n## Clues:\n1. Eric is somewhere to the right of Alice.\n2. The person who has red hair is somewhere to the right of Eric.\n3. Alice is not in the second house.\n4. The person who owns a Honda Civic is somewhere to the left of the person who has brown hair.\n5. The person who has red hair is in the fourth house.\n6. The person who has blonde hair is the person who owns a Tesla Model 3.\n7. Arnold is not in the second house.\n8. Arnold is not in the fourth house.\n9. The person who owns a Ford F-150 is in the second house.\n\n\nChoices:\n0. brown\n1. black\n2. red\n3. blonde\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `high school`, `associate`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person with an associate's degree is in the first house.\n2. The person whose mother's name is Holly is Arnold.\n3. The person whose mother's name is Holly is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`, `modern`, `craftsman`\n - People use unique phone models: `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `huawei p50`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `pall mall`, `blends`, `prince`\n - People have unique favorite book genres: `mystery`, `science fiction`, `biography`, `romance`, `fantasy`\n\n## Clues:\n1. There is one house between the person residing in a Victorian house and the person who uses a Samsung Galaxy S21.\n2. The person who smokes many unique blends is Eric.\n3. The person who smokes many unique blends is the person who loves fantasy books.\n4. Alice is somewhere to the right of the person who uses a Samsung Galaxy S21.\n5. Bob is directly left of Eric.\n6. The person who loves mystery books is directly left of the person who loves fantasy books.\n7. Bob is somewhere to the left of the person who uses an iPhone 13.\n8. The person who uses a Google Pixel 6 is somewhere to the right of Peter.\n9. The person who loves romance books is directly left of the person in a ranch-style home.\n10. The person living in a colonial-style house is in the fourth house.\n11. The person who loves fantasy books is in the fourth house.\n12. The person partial to Pall Mall is Peter.\n13. The person in a modern-style house and the person who smokes Blue Master are next to each other.\n14. The person who loves science fiction books is the Dunhill smoker.\n15. Eric is the person who uses a Samsung Galaxy S21.\n16. The person who uses a Huawei P50 and the person who loves fantasy books are next to each other.\n\n\nChoices:\n0. google pixel 6\n1. oneplus 9\n2. samsung galaxy s21\n3. iphone 13\n4. huawei p50\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `dragonfruit`, `cherry`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`\n - The people are of nationalities: `dane`, `brit`, `norwegian`, `swede`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. There is one house between Alice and the Norwegian.\n3. There are two houses between the person who uses a OnePlus 9 and the person living in a colonial-style house.\n4. The person living in a colonial-style house is the British person.\n5. The person who uses an iPhone 13 is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is the British person.\n7. The person residing in a Victorian house is somewhere to the left of the person who uses a Samsung Galaxy S21.\n8. The Dane is the person who uses a OnePlus 9.\n9. The Desert smoothie lover is not in the second house.\n10. The person who uses an iPhone 13 is the Dragonfruit smoothie lover.\n11. Eric is the Norwegian.\n12. The person who uses a Samsung Galaxy S21 is the person in a Craftsman-style house.\n\n\nChoices:\n0. iphone 13\n1. google pixel 6\n2. oneplus 9\n3. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`\n - People have unique hair colors: `brown`, `black`, `blonde`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n\n## Clues:\n1. Arnold is the person whose birthday is in January.\n2. The person whose mother's name is Janelle is the person who has brown hair.\n3. The person who has black hair is not in the second house.\n4. The person who has black hair is the person whose birthday is in April.\n5. The person whose mother's name is Aniya is Eric.\n6. The person whose mother's name is Janelle is the person who owns a Toyota Camry.\n7. The person who has black hair is The person whose mother's name is Aniya.\n8. The person whose birthday is in September and the person who owns a Tesla Model 3 are next to each other.\n9. Arnold is the person who has brown hair.\n10. The person who owns a Toyota Camry is somewhere to the left of the person who owns a Ford F-150.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - The people keep unique animals: `cat`, `horse`, `bird`\n - Each person has a favorite color: `yellow`, `white`, `red`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n\n## Clues:\n1. The bird keeper and Eric are next to each other.\n2. The person whose favorite color is red is the Dane.\n3. The Dane is the person who loves a carnations arrangement.\n4. The person who loves the boquet of lilies is the bird keeper.\n5. The Dane is somewhere to the left of the person who loves a bouquet of daffodils.\n6. The British person is somewhere to the left of the person who loves yellow.\n7. Arnold is the person who keeps horses.\n8. Eric is the Swedish person.\n\n\nChoices:\n0. red\n1. white\n2. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - They all have a unique favorite flower: `carnations`, `daffodils`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique heights: `very short`, `short`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is in the first house.\n2. The person who is very short is not in the first house.\n3. The person whose favorite color is red is in the first house.\n4. Eric is not in the second house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - Each person has a unique birthday month: `mar`, `feb`, `jan`, `sept`, `april`\n - They all have a unique favorite flower: `tulips`, `lilies`, `carnations`, `daffodils`, `roses`\n - Each person has a unique level of education: `high school`, `bachelor`, `doctorate`, `associate`, `master`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `dragonfruit`, `lime`\n\n## Clues:\n1. There is one house between the Desert smoothie lover and the person whose birthday is in April.\n2. The person with a bachelor's degree is Peter.\n3. The person who loves a bouquet of daffodils is the person with a high school diploma.\n4. Eric is not in the second house.\n5. The person who drinks Lime smoothies and the person who loves the rose bouquet are next to each other.\n6. Alice is in the third house.\n7. The person whose birthday is in February is Peter.\n8. The person with a master's degree is the person whose birthday is in March.\n9. The person whose birthday is in February is in the fourth house.\n10. The person whose birthday is in March is the person who drinks Lime smoothies.\n11. Peter is the Dragonfruit smoothie lover.\n12. The person with an associate's degree is not in the second house.\n13. The person who loves a carnations arrangement is not in the second house.\n14. The Watermelon smoothie lover is Arnold.\n15. Alice is the person whose birthday is in September.\n16. The person who loves the boquet of lilies is not in the second house.\n17. The person with an associate's degree is Arnold.\n18. The person who loves the vase of tulips is Peter.\n19. The person who loves the boquet of lilies is not in the first house.\n\n\nChoices:\n0. Bob\n1. Eric\n2. Peter\n3. Arnold\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person with a high school diploma is in the second house.\n2. Eric is not in the second house.\n\n\nChoices:\n0. associate\n1. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite sports: `basketball`, `soccer`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person who owns a Ford F-150 is directly left of the person who owns a Tesla Model 3.\n2. Eric is the person who owns a Ford F-150.\n3. The person who owns a Tesla Model 3 is the person who loves basketball.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`\n - Each person has a unique favorite drink: `coffee`, `milk`, `tea`, `water`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `dragonfruit`, `watermelon`\n\n## Clues:\n1. The Dragonfruit smoothie lover is the person who likes milk.\n2. The Watermelon smoothie lover is not in the fourth house.\n3. The person who loves eating grilled cheese is directly left of Peter.\n4. The person who loves the stew is Alice.\n5. The person who is a pizza lover is the Dragonfruit smoothie lover.\n6. The tea drinker is directly left of the coffee drinker.\n7. The person who loves the stew is the Watermelon smoothie lover.\n8. The person who likes Cherry smoothies is Eric.\n9. Eric is in the first house.\n10. Alice is somewhere to the right of the person who is a pizza lover.\n\n\nChoices:\n0. watermelon\n1. desert\n2. dragonfruit\n3. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `craftsman`\n - The people keep unique animals: `cat`, `horse`, `fish`, `bird`\n - Each mother is accompanied by their child: `Meredith`, `Samantha`, `Fred`, `Bella`\n\n## Clues:\n1. The cat lover is not in the third house.\n2. There is one house between the person residing in a Victorian house and the person who loves the stew.\n3. The person residing in a Victorian house and the bird keeper are next to each other.\n4. The person who loves eating grilled cheese is the person in a ranch-style home.\n5. The person who loves the spaghetti eater is Peter.\n6. Alice is the person in a ranch-style home.\n7. The cat lover is Arnold.\n8. The person in a Craftsman-style house is the person's child is named Samantha.\n9. The person's child is named Bella is directly left of the person who loves the spaghetti eater.\n10. The person who is a pizza lover is the person's child is named Fred.\n11. The person who loves eating grilled cheese is in the second house.\n12. The person's child is named Samantha is somewhere to the right of the fish enthusiast.\n\n\nChoices:\n0. Bella\n1. Fred\n2. Meredith\n3. Samantha\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - Each person has a unique type of pet: `cat`, `dog`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. The person who is very short is the photography enthusiast.\n2. Eric is the person who is very short.\n3. The person who has a cat is somewhere to the right of the person who is very short.\n\n\nChoices:\n0. photography\n1. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `dunhill`, `prince`\n - People have unique heights: `tall`, `average`, `short`, `very short`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The Dragonfruit smoothie lover is Eric.\n2. The Dunhill smoker is the person who likes Cherry smoothies.\n3. The person who uses a Samsung Galaxy S21 is directly left of the person who uses an iPhone 13.\n4. The Dunhill smoker is somewhere to the right of the person who is very short.\n5. The Watermelon smoothie lover is somewhere to the right of the Desert smoothie lover.\n6. The Prince smoker is the person who uses a OnePlus 9.\n7. The person who is tall is in the third house.\n8. The person who is very short is the person who uses an iPhone 13.\n9. The person who smokes Blue Master is not in the first house.\n10. The Dunhill smoker is the person who is short.\n11. Peter is not in the third house.\n12. Arnold is the person who uses a Google Pixel 6.\n13. The Dragonfruit smoothie lover is the person partial to Pall Mall.\n\n\nChoices:\n0. very short\n1. average\n2. tall\n3. short\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique favorite drink: `tea`, `water`\n - Each person has a unique level of education: `high school`, `associate`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n\n## Clues:\n1. The person who enjoys mountain retreats is somewhere to the right of the person with an associate's degree.\n2. The one who only drinks water is Eric.\n3. The one who only drinks water is somewhere to the right of the person who loves beach vacations.\n\n\nChoices:\n0. associate\n1. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n - The people are of nationalities: `brit`, `dane`, `swede`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Janelle`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n\n## Clues:\n1. The Swedish person is not in the third house.\n2. The person who loves basketball is directly left of the person who loves tennis.\n3. Arnold is the person who loves the boquet of lilies.\n4. The person whose mother's name is Janelle is the Dane.\n5. The person whose mother's name is Holly is the person who loves a carnations arrangement.\n6. The person who loves the boquet of lilies is somewhere to the right of Peter.\n7. The Dane is directly left of the person who loves a carnations arrangement.\n8. Eric is not in the first house.\n9. The person whose mother's name is Janelle is directly left of the person who loves basketball.\n\n\nChoices:\n0. swede\n1. brit\n2. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - Each person has a unique type of pet: `fish`, `dog`, `cat`\n\n## Clues:\n1. The person who likes Cherry smoothies is the person with an aquarium of fish.\n2. The person who loves the spaghetti eater is directly left of the person who has a cat.\n3. The person who has a cat is Eric.\n4. The Watermelon smoothie lover is Arnold.\n5. The person who owns a dog is directly left of the person who is a pizza lover.\n6. The Desert smoothie lover is not in the third house.\n\n\nChoices:\n0. spaghetti\n1. pizza\n2. grilled cheese\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique favorite drink: `milk`, `root beer`, `coffee`, `tea`, `water`\n - Each person has a favorite color: `blue`, `green`, `white`, `yellow`, `red`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `tulips`, `carnations`\n - Each person has a unique hobby: `painting`, `cooking`, `photography`, `gardening`, `knitting`\n\n## Clues:\n1. Alice is not in the fourth house.\n2. The root beer lover is the person who enjoys gardening.\n3. The person whose favorite color is green is the coffee drinker.\n4. The person whose favorite color is green is the person who loves the boquet of lilies.\n5. The person who loves blue is somewhere to the right of the person who loves a bouquet of daffodils.\n6. The person who loves cooking is the person who loves blue.\n7. Eric is directly left of the tea drinker.\n8. The one who only drinks water is Peter.\n9. Arnold is the photography enthusiast.\n10. The person who loves white is the person who loves the rose bouquet.\n11. There is one house between the person who loves a carnations arrangement and the person whose favorite color is red.\n12. The person who loves cooking is somewhere to the left of the person who paints as a hobby.\n13. The one who only drinks water is in the third house.\n14. The person who loves a carnations arrangement is the root beer lover.\n15. The person who loves white is in the second house.\n\n\nChoices:\n0. tea\n1. root beer\n2. water\n3. coffee\n4. milk\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`\n - People have unique heights: `very tall`, `average`, `tall`, `very short`, `short`\n - Everyone has something unique for lunch: `stew`, `grilled cheese`, `spaghetti`, `pizza`, `stir fry`\n\n## Clues:\n1. Alice is the person who is short.\n2. The person who is tall is in the third house.\n3. The person who has an average height is not in the second house.\n4. The person who has an average height is somewhere to the left of the person who loves the stew.\n5. The person who loves stir fry is Arnold.\n6. The person who is a pizza lover is the person who is tall.\n7. Eric is the person who is tall.\n8. Bob is somewhere to the right of Arnold.\n9. The person who loves eating grilled cheese is somewhere to the right of Eric.\n10. The person who is very short is somewhere to the left of Arnold.\n\n\nChoices:\n0. stir fry\n1. spaghetti\n2. grilled cheese\n3. stew\n4. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`, `dunhill`\n - Each person has a unique favorite drink: `milk`, `coffee`, `water`, `tea`\n - People have unique hair colors: `blonde`, `black`, `red`, `brown`\n\n## Clues:\n1. The person who has brown hair is not in the fourth house.\n2. The person who likes milk is the person who has brown hair.\n3. The person partial to Pall Mall is somewhere to the right of the person who has black hair.\n4. Peter is somewhere to the left of the Dunhill smoker.\n5. The person who smokes Blue Master is directly left of Alice.\n6. The tea drinker is Peter.\n7. Eric is the person who has brown hair.\n8. Eric is not in the third house.\n9. Alice is the Dunhill smoker.\n10. The person who has blonde hair is the Prince smoker.\n11. The one who only drinks water is not in the fourth house.\n\n\nChoices:\n0. tea\n1. coffee\n2. water\n3. milk\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `engineer`, `doctor`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - The people are of nationalities: `brit`, `dane`\n - Each person has a unique hobby: `photography`, `gardening`\n\n## Clues:\n1. Eric is the Dane.\n2. The person who uses an iPhone 13 is somewhere to the left of the person who enjoys gardening.\n3. The Dane is somewhere to the left of the person who enjoys gardening.\n4. Arnold is the person who is an engineer.\n\n\nChoices:\n0. photography\n1. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite sports: `basketball`, `soccer`\n\n## Clues:\n1. The person who loves basketball is somewhere to the left of the cat lover.\n2. The person who loves mystery books is somewhere to the left of Arnold.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n - Everyone has something unique for lunch: `pizza`, `stew`, `grilled cheese`, `spaghetti`\n - Each person has a unique level of education: `master`, `associate`, `bachelor`, `high school`\n - Each mother is accompanied by their child: `Samantha`, `Bella`, `Meredith`, `Fred`\n\n## Clues:\n1. The person's child is named Samantha is in the second house.\n2. Arnold is the person's child is named Samantha.\n3. The person who loves the spaghetti eater is directly left of the person with a master's degree.\n4. The person who loves eating grilled cheese is the person who loves classical music.\n5. The person who loves the stew is the person's child is named Bella.\n6. The person who loves pop music is Alice.\n7. The person who loves jazz music is directly left of the person's child is named Samantha.\n8. The person with a high school diploma is Arnold.\n9. The person with a bachelor's degree is Peter.\n10. The person who loves the spaghetti eater is the person with an associate's degree.\n11. The person who loves classical music is the person's child is named Fred.\n\n\nChoices:\n0. classical\n1. rock\n2. jazz\n3. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n\n## Clues:\n1. The person's child is named Fred is directly left of Arnold.\n2. The person who loves mystery books is not in the second house.\n3. The person with a high school diploma is the person's child is named Bella.\n4. Eric and the Desert smoothie lover are next to each other.\n\n\nChoices:\n0. cherry\n1. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. Eric is the person whose birthday is in April.\n2. Eric is not in the second house.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`\n - People have unique heights: `very short`, `short`, `tall`, `average`, `very tall`\n - The mothers' names in different houses are unique: `Janelle`, `Kailyn`, `Penny`, `Holly`, `Aniya`\n - People have unique hair colors: `blonde`, `black`, `gray`, `red`, `brown`\n\n## Clues:\n1. The person who is tall is The person whose mother's name is Holly.\n2. There are two houses between the person who has an average height and the person who is short.\n3. The person who has gray hair is directly left of The person whose mother's name is Janelle.\n4. The person who has black hair is not in the fourth house.\n5. Eric is the person who has black hair.\n6. The person who is very short is The person whose mother's name is Penny.\n7. Eric and the person who has gray hair are next to each other.\n8. Bob is in the fifth house.\n9. The person who has red hair is Peter.\n10. The person whose mother's name is Kailyn is directly left of the person who is short.\n11. Arnold is the person who has brown hair.\n12. The person who has brown hair is somewhere to the left of The person whose mother's name is Janelle.\n13. The person whose mother's name is Aniya and the person who is very short are next to each other.\n14. The person whose mother's name is Kailyn is in the third house.\n\n\nChoices:\n0. blonde\n1. brown\n2. red\n3. black\n4. gray\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`, `Bob`\n - The people are of nationalities: `german`, `norwegian`, `brit`, `dane`, `swede`\n - People have unique favorite sports: `swimming`, `soccer`, `baseball`, `basketball`, `tennis`\n - People have unique hair colors: `blonde`, `brown`, `red`, `black`, `gray`\n\n## Clues:\n1. Arnold is the person who loves baseball.\n2. The Swedish person is somewhere to the left of Arnold.\n3. There are two houses between the person who loves basketball and the person who has black hair.\n4. The Norwegian is in the fourth house.\n5. Peter is the person who has black hair.\n6. The person who has red hair is in the second house.\n7. Bob is the German.\n8. The person who has blonde hair is not in the third house.\n9. The person who loves swimming is the person who has red hair.\n10. The German is not in the first house.\n11. The person who loves basketball is directly left of the Dane.\n12. The person who loves soccer is directly left of Arnold.\n13. Alice is the person who has gray hair.\n\n\nChoices:\n0. swede\n1. brit\n2. dane\n3. german\n4. norwegian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite sports: `soccer`, `basketball`\n\n## Clues:\n1. Arnold is in the second house.\n2. The person who loves soccer is in the second house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique type of pet: `fish`, `cat`, `dog`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n\n## Clues:\n1. The person who loves romance books is the person who has a cat.\n2. The person who owns a dog is somewhere to the left of Peter.\n3. The Prince smoker and the person who has a cat are next to each other.\n4. The person partial to Pall Mall is Arnold.\n5. There is one house between the Prince smoker and the person who smokes Blue Master.\n6. The Prince smoker is somewhere to the left of the person who loves mystery books.\n\n\nChoices:\n0. fish\n1. dog\n2. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - People have unique heights: `short`, `very short`, `tall`, `average`\n - Each person has a unique type of pet: `fish`, `cat`, `dog`, `bird`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `stew`, `grilled cheese`\n\n## Clues:\n1. The person who loves the stew is in the second house.\n2. The person who is very short is somewhere to the right of Eric.\n3. Arnold is the person who is tall.\n4. The person with an aquarium of fish is directly left of Arnold.\n5. Peter is somewhere to the left of the person who is short.\n6. The person who loves eating grilled cheese is directly left of the person who is a pizza lover.\n7. The person who has a cat is Arnold.\n8. The person with an aquarium of fish is the person who has an average height.\n9. Peter is the person who keeps a pet bird.\n\n\nChoices:\n0. stew\n1. pizza\n2. grilled cheese\n3. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique hobby: `photography`, `cooking`, `painting`, `gardening`\n - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `prince`, `pall mall`\n\n## Clues:\n1. The person who loves cooking is not in the fourth house.\n2. The person who paints as a hobby is somewhere to the left of the photography enthusiast.\n3. The person partial to Pall Mall is Arnold.\n4. There is one house between Peter and the photography enthusiast.\n5. The Dunhill smoker is directly left of the person who loves cooking.\n6. The person partial to Pall Mall is directly left of Alice.\n7. The person partial to Pall Mall is somewhere to the left of the person who smokes Blue Master.\n8. The Prince smoker is the photography enthusiast.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Alice\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - People own unique car models: `honda civic`, `tesla model 3`, `ford f150`, `toyota camry`\n - Each person has a unique type of pet: `bird`, `cat`, `fish`, `dog`\n - People use unique phone models: `oneplus 9`, `iphone 13`, `google pixel 6`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who owns a dog.\n2. Alice is not in the second house.\n3. The person who uses an iPhone 13 is the person who owns a Toyota Camry.\n4. The person who uses a Google Pixel 6 is not in the fourth house.\n5. The person who owns a Ford F-150 is not in the second house.\n6. The person with an aquarium of fish is directly left of the person who keeps a pet bird.\n7. Peter is the person who uses a Google Pixel 6.\n8. The person who owns a Tesla Model 3 is directly left of the person who uses an iPhone 13.\n9. Eric is not in the second house.\n10. Eric is not in the first house.\n11. The person who uses a Google Pixel 6 and the person who owns a Ford F-150 are next to each other.\n12. The person who uses a OnePlus 9 is somewhere to the left of the person who owns a Ford F-150.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique favorite drink: `tea`, `milk`, `water`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`\n - Each person has an occupation: `engineer`, `doctor`, `teacher`\n - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`\n\n## Clues:\n1. The person who prefers city breaks is the person who loves a carnations arrangement.\n2. The person who loves a bouquet of daffodils is in the first house.\n3. The person who loves beach vacations is the person who loves a bouquet of daffodils.\n4. The tea drinker is the person who is an engineer.\n5. The person who is a teacher is somewhere to the left of Eric.\n6. The person who likes milk is in the second house.\n7. The person who is a teacher is directly left of Peter.\n8. The person who loves the boquet of lilies is not in the third house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n\n## Clues:\n1. The person who loves basketball is somewhere to the right of the person partial to Pall Mall.\n2. The Prince smoker is not in the third house.\n3. Eric is The person whose mother's name is Holly.\n4. The person whose mother's name is Aniya is the person who loves pop music.\n5. Arnold is directly left of the Prince smoker.\n6. The person who loves tennis is the person who smokes Blue Master.\n7. The Prince smoker is somewhere to the right of the person who loves classical music.\n8. The person whose mother's name is Aniya is not in the second house.\n\n\nChoices:\n0. rock\n1. pop\n2. classical\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Bob`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `prince`, `blends`, `pall mall`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Eric is somewhere to the right of Arnold.\n3. Eric is not in the second house.\n4. The person partial to Pall Mall is in the third house.\n5. The person partial to Pall Mall is somewhere to the left of Alice.\n6. There are two houses between the person who smokes many unique blends and the Prince smoker.\n7. The Dunhill smoker and Bob are next to each other.\n8. Eric is not in the fifth house.\n9. The Prince smoker is somewhere to the right of the person who smokes Blue Master.\n10. Bob is not in the fifth house.\n\n\nChoices:\n0. Bob\n1. Eric\n2. Alice\n3. Peter\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`\n - People have unique favorite book genres: `science fiction`, `mystery`, `fantasy`, `romance`\n - Each person has a favorite color: `green`, `red`, `white`, `yellow`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n\n## Clues:\n1. The person who loves romance books and the person who likes going on cruises are next to each other.\n2. Arnold is The person whose mother's name is Janelle.\n3. The person who prefers city breaks is the person who loves yellow.\n4. The person who loves science fiction books is directly left of Peter.\n5. The person who loves science fiction books is somewhere to the left of The person whose mother's name is Kailyn.\n6. The person who loves beach vacations is not in the first house.\n7. There is one house between Alice and the person who likes going on cruises.\n8. The person who loves mystery books is the person who loves white.\n9. Peter is the person who prefers city breaks.\n10. The person whose favorite color is green is in the third house.\n11. The person whose mother's name is Aniya is Peter.\n12. The person whose favorite color is green is The person whose mother's name is Janelle.\n\n\nChoices:\n0. cruise\n1. beach\n2. city\n3. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`\n\n## Clues:\n1. Peter is in the fourth house.\n2. The person who uses a OnePlus 9 is in the second house.\n3. The person who uses a Huawei P50 and the person who uses a OnePlus 9 are next to each other.\n4. There is one house between Alice and Eric.\n5. Eric is in the third house.\n6. Arnold is somewhere to the left of the person who uses a Samsung Galaxy S21.\n7. Alice is somewhere to the left of the person who uses a Google Pixel 6.\n8. There is one house between Alice and the person who uses a Google Pixel 6.\n9. The person who uses a Samsung Galaxy S21 is not in the fourth house.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Eric\n3. Peter\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `milk`, `tea`, `water`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - The people keep unique animals: `bird`, `horse`, `cat`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`\n\n## Clues:\n1. The person who loves mystery books is the person who loves tennis.\n2. The person who loves tennis is the tea drinker.\n3. There is one house between the person who keeps horses and the bird keeper.\n4. Peter is the person who likes milk.\n5. Eric is the person who keeps horses.\n6. The person who loves soccer is in the third house.\n7. The person who loves science fiction books is the person who loves basketball.\n8. The tea drinker is Arnold.\n9. The person who likes milk is the person who loves soccer.\n\n\nChoices:\n0. milk\n1. water\n2. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`\n - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `desert`, `cherry`\n - People have unique hair colors: `red`, `black`, `brown`, `blonde`\n - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`\n\n## Clues:\n1. The person who has red hair is not in the third house.\n2. There is one house between Eric and the person who likes Cherry smoothies.\n3. The person who loves science fiction books is Peter.\n4. The person who loves fantasy books is Alice.\n5. The Dragonfruit smoothie lover is the person who loves pop music.\n6. The Dragonfruit smoothie lover is the person who has red hair.\n7. The Watermelon smoothie lover is somewhere to the right of the person who loves classical music.\n8. The person who has black hair is the person who likes Cherry smoothies.\n9. There is one house between the person who loves pop music and the person who loves fantasy books.\n10. The person who loves romance books is somewhere to the right of the person who loves jazz music.\n11. The person who has red hair is directly left of the person who has black hair.\n12. The person who has brown hair and the Dragonfruit smoothie lover are next to each other.\n13. The person who loves science fiction books is the Dragonfruit smoothie lover.\n\n\nChoices:\n0. romance\n1. science fiction\n2. fantasy\n3. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Bob`, `Peter`\n - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `tulips`, `daffodils`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `mar`, `jan`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`, `stir fry`, `stew`\n - Each person lives in a unique style of house: `colonial`, `craftsman`, `victorian`, `ranch`, `modern`\n\n## Clues:\n1. The person whose birthday is in September is the person who loves the spaghetti eater.\n2. The person whose birthday is in February is Alice.\n3. The person in a Craftsman-style house is Eric.\n4. The person who loves the stew is the person in a modern-style house.\n5. The person who loves the vase of tulips is somewhere to the left of the person who is a pizza lover.\n6. The person who loves the stew is in the fourth house.\n7. The person whose birthday is in March is in the third house.\n8. The person whose birthday is in September is in the first house.\n9. The person who loves the boquet of lilies is the person whose birthday is in February.\n10. The person residing in a Victorian house is directly left of the person who is a pizza lover.\n11. The person whose birthday is in January is the person who loves a carnations arrangement.\n12. The person who loves eating grilled cheese is directly left of the person who loves the stew.\n13. The person living in a colonial-style house is the person whose birthday is in March.\n14. The person who is a pizza lover is somewhere to the left of Arnold.\n15. There is one house between the person who loves the rose bouquet and the person whose birthday is in April.\n16. The person in a modern-style house is Peter.\n\n\nChoices:\n0. Bob\n1. Arnold\n2. Alice\n3. Eric\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a favorite color: `yellow`, `red`\n\n## Clues:\n1. The person who is a doctor and the person whose birthday is in September are next to each other.\n2. The person who is a doctor is the person whose favorite color is red.\n3. The person who loves yellow is the person with a high school diploma.\n4. The person whose birthday is in September is not in the first house.\n5. Eric is the person with an associate's degree.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique type of pet: `dog`, `cat`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. Arnold is somewhere to the right of the person who has a cat.\n2. The person who is short is the person who has a cat.\n\n\nChoices:\n0. cat\n1. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - People own unique car models: `honda civic`, `tesla model 3`, `toyota camry`, `ford f150`\n\n## Clues:\n1. The person who is very short is in the fourth house.\n2. The person who owns a Toyota Camry is not in the second house.\n3. The person who is very short is Arnold.\n4. The person who owns a Toyota Camry is Peter.\n5. The person who has an average height is not in the second house.\n6. The person who is short is in the third house.\n7. The person who is short is Eric.\n8. The person who owns a Ford F-150 is not in the fourth house.\n9. There is one house between the person who owns a Toyota Camry and the person who owns a Tesla Model 3.\n\n\nChoices:\n0. tall\n1. short\n2. average\n3. very short\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a favorite color: `yellow`, `white`, `red`\n\n## Clues:\n1. The Prince smoker is Arnold.\n2. The person who loves yellow is Eric.\n3. The person with an associate's degree is directly left of the person who smokes Blue Master.\n4. The person with an associate's degree is the person partial to Pall Mall.\n5. The person partial to Pall Mall is somewhere to the left of Arnold.\n6. The person whose favorite color is red is in the first house.\n7. The person with a high school diploma is the person who smokes Blue Master.\n\n\nChoices:\n0. associate\n1. high school\n2. bachelor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`\n - The people keep unique animals: `cat`, `horse`\n\n## Clues:\n1. Eric is directly left of the person who owns a Tesla Model 3.\n2. The person who keeps horses is in the first house.\n\n\nChoices:\n0. horse\n1. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `tennis`, `swimming`, `basketball`, `soccer`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `craftsman`, `ranch`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `desert`, `dragonfruit`\n - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`\n\n## Clues:\n1. Alice and the person in a Craftsman-style house are next to each other.\n2. The Desert smoothie lover is in the first house.\n3. The Dragonfruit smoothie lover is Eric.\n4. The person in a ranch-style home is somewhere to the right of the person living in a colonial-style house.\n5. The person who is a doctor is not in the second house.\n6. Peter is the person who likes Cherry smoothies.\n7. The person who is an artist is the Dragonfruit smoothie lover.\n8. Alice is in the third house.\n9. The person who is an engineer is somewhere to the right of the person who loves swimming.\n10. The person who loves basketball is the person who is an artist.\n11. The Dragonfruit smoothie lover is not in the second house.\n12. The person residing in a Victorian house is directly left of the person who loves soccer.\n13. The person who loves tennis is somewhere to the left of the person who loves swimming.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is the person who likes Cherry smoothies.\n2. Eric is directly left of the Desert smoothie lover.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`, `swimming`\n - People own unique car models: `tesla model 3`, `toyota camry`, `honda civic`, `ford f150`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves the rose bouquet.\n2. Peter is the Dragonfruit smoothie lover.\n3. The Desert smoothie lover is the person who owns a Toyota Camry.\n4. The person who loves tennis is in the first house.\n5. The person who owns a Toyota Camry and the person who loves basketball are next to each other.\n6. Arnold is the person who loves basketball.\n7. The person who owns a Honda Civic is the person who loves a bouquet of daffodils.\n8. Eric is the person who loves the rose bouquet.\n9. The Watermelon smoothie lover is not in the first house.\n10. The person who owns a Honda Civic is somewhere to the right of the Desert smoothie lover.\n11. The person who loves basketball is the person who loves the boquet of lilies.\n12. The person who loves tennis and the person who loves soccer are next to each other.\n\n\nChoices:\n0. desert\n1. cherry\n2. dragonfruit\n3. watermelon\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `fish`, `bird`, `cat`, `dog`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `modern`, `craftsman`\n - Each person has a unique birthday month: `mar`, `sept`, `jan`, `feb`, `april`\n - The people keep unique animals: `dog`, `cat`, `fish`, `bird`, `horse`\n\n## Clues:\n1. There is one house between Alice and the fish enthusiast.\n2. The person in a ranch-style home is not in the fifth house.\n3. The person whose birthday is in March is Alice.\n4. The person in a ranch-style home is not in the fourth house.\n5. Arnold is somewhere to the right of the person whose birthday is in April.\n6. The person who has a cat is the person who keeps horses.\n7. There are two houses between the cat lover and the person living in a colonial-style house.\n8. Eric is somewhere to the left of the person whose birthday is in September.\n9. The person whose birthday is in April is directly left of the person who keeps horses.\n10. Alice is the person residing in a Victorian house.\n11. The person whose birthday is in March and the cat lover are next to each other.\n12. Peter is the person whose birthday is in February.\n13. The cat lover is the person who owns a dog.\n14. The bird keeper is somewhere to the left of the person who keeps a pet bird.\n15. Bob is the person who keeps a pet bird.\n16. Eric is in the fourth house.\n17. The person who has a cat is somewhere to the left of the person with a pet hamster.\n18. The person who keeps a pet bird is the person in a modern-style house.\n\n\nChoices:\n0. mar\n1. april\n2. sept\n3. feb\n4. jan\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a favorite color: `yellow`, `red`, `white`, `green`\n - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `pall mall`, `prince`\n - Each person has a unique level of education: `high school`, `associate`, `master`, `bachelor`\n\n## Clues:\n1. The person whose favorite color is green is somewhere to the left of the person with a high school diploma.\n2. Eric is the person whose favorite color is red.\n3. There are two houses between Alice and the person who loves white.\n4. The person who smokes Blue Master and the person partial to Pall Mall are next to each other.\n5. The person who loves white is the person with a master's degree.\n6. Arnold is in the fourth house.\n7. The person who loves yellow is the person who smokes Blue Master.\n8. The Dunhill smoker is Alice.\n9. The person partial to Pall Mall is the person with a master's degree.\n10. The person who loves yellow is the person with a bachelor's degree.\n\n\nChoices:\n0. dunhill\n1. pall mall\n2. blue master\n3. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - People own unique car models: `tesla model 3`, `ford f150`\n - Each person has a unique hobby: `photography`, `gardening`\n - Each person has a unique favorite drink: `water`, `tea`\n\n## Clues:\n1. The one who only drinks water is in the first house.\n2. The photography enthusiast is Arnold.\n3. The one who only drinks water is the photography enthusiast.\n4. Arnold is the person who owns a Ford F-150.\n5. The person who loves science fiction books is Arnold.\n\n\nChoices:\n0. gardening\n1. photography\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who loves the spaghetti eater and Peter are next to each other.\n2. The person who loves eating grilled cheese is directly left of The person whose mother's name is Aniya.\n3. The person who loves eating grilled cheese is Eric.\n4. Peter is The person whose mother's name is Holly.\n\n\nChoices:\n0. Holly\n1. Aniya\n2. Janelle\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - People own unique car models: `tesla model 3`, `ford f150`\n - Each person has a unique hobby: `photography`, `gardening`\n - Each person has a unique favorite drink: `water`, `tea`\n\n## Clues:\n1. The one who only drinks water is in the first house.\n2. The photography enthusiast is Arnold.\n3. The one who only drinks water is the photography enthusiast.\n4. Arnold is the person who owns a Ford F-150.\n5. The person who loves science fiction books is Arnold.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a favorite color: `white`, `red`, `yellow`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n\n## Clues:\n1. The person who loves pop music is Peter.\n2. Arnold is the person who loves classical music.\n3. The person with a bachelor's degree is not in the first house.\n4. The person who loves white is in the second house.\n5. The person who loves pop music is in the first house.\n6. The person who uses a Samsung Galaxy S21 is the person with an associate's degree.\n7. The person with a bachelor's degree is the person whose favorite color is red.\n8. The person with a high school diploma is the person who uses a Google Pixel 6.\n9. The person who uses a Samsung Galaxy S21 is the person who loves rock music.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - Each person has a unique favorite drink: `coffee`, `water`, `tea`, `milk`\n - Each mother is accompanied by their child: `Samantha`, `Meredith`, `Bella`, `Fred`\n\n## Clues:\n1. The person's child is named Meredith is not in the fourth house.\n2. The person who likes milk is the person's child is named Bella.\n3. The person's child is named Samantha is somewhere to the right of Alice.\n4. The tea drinker is the person's child is named Fred.\n5. There is one house between the coffee drinker and Peter.\n6. The person's child is named Samantha is somewhere to the left of the tea drinker.\n7. Eric is somewhere to the right of the person's child is named Fred.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Peter\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n - People use unique phone models: `samsung galaxy s21`, `google pixel 6`, `iphone 13`\n\n## Clues:\n1. Eric is in the second house.\n2. The person who uses a Samsung Galaxy S21 is somewhere to the right of Arnold.\n3. The person who uses a Samsung Galaxy S21 is the person who owns a Ford F-150.\n4. There is one house between the person who uses an iPhone 13 and the person who uses a Google Pixel 6.\n5. The person who owns a Tesla Model 3 is somewhere to the left of the person who uses a Google Pixel 6.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`, `Bob`\n - The mothers' names in different houses are unique: `Aniya`, `Penny`, `Holly`, `Kailyn`, `Janelle`\n - The people are of nationalities: `swede`, `brit`, `dane`, `norwegian`, `german`\n - Each person has a unique birthday month: `mar`, `april`, `feb`, `sept`, `jan`\n\n## Clues:\n1. The Dane is the person whose birthday is in January.\n2. Alice is the British person.\n3. Eric is not in the second house.\n4. The person whose birthday is in January is somewhere to the left of Arnold.\n5. The British person is somewhere to the left of The person whose mother's name is Janelle.\n6. Peter is the German.\n7. The person whose mother's name is Aniya is Peter.\n8. The person whose birthday is in March is The person whose mother's name is Janelle.\n9. The person whose mother's name is Kailyn is the Dane.\n10. The British person is in the third house.\n11. The person whose birthday is in January is somewhere to the left of The person whose mother's name is Penny.\n12. The British person is directly left of the person whose birthday is in February.\n13. The Dane is somewhere to the left of the Norwegian.\n14. Eric is the person whose birthday is in April.\n\n\nChoices:\n0. Penny\n1. Aniya\n2. Holly\n3. Kailyn\n4. Janelle\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Each person has an occupation: `doctor`, `teacher`, `artist`, `engineer`\n - Each person has a unique type of pet: `fish`, `dog`, `bird`, `cat`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `romance`, `mystery`\n\n## Clues:\n1. The person who has a cat is directly left of the person who is a teacher.\n2. Alice and the person who has an average height are next to each other.\n3. The person who is tall is somewhere to the right of Arnold.\n4. The person who keeps a pet bird is not in the third house.\n5. The person who loves science fiction books is the person who is tall.\n6. The person who is a doctor is not in the third house.\n7. The person who loves fantasy books is the person with an aquarium of fish.\n8. Eric is the person who is very short.\n9. The person who is a teacher is directly left of Alice.\n10. The person with an aquarium of fish is somewhere to the right of the person who is an engineer.\n11. The person who loves fantasy books is Eric.\n12. The person who loves romance books and the person with an aquarium of fish are next to each other.\n\n\nChoices:\n0. cat\n1. fish\n2. dog\n3. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique hair colors: `black`, `brown`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n\n## Clues:\n1. The person's child is named Bella is Eric.\n2. The person's child is named Fred is the person who is a pizza lover.\n3. Arnold is in the first house.\n4. The person who has black hair is directly left of the person living in a colonial-style house.\n\n\nChoices:\n0. victorian\n1. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique heights: `short`, `very short`, `average`, `tall`\n - Each person has a favorite color: `yellow`, `white`, `red`, `green`\n - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`\n - The people keep unique animals: `bird`, `fish`, `horse`, `cat`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the bird keeper.\n2. Peter is not in the first house.\n3. The person who loves the rose bouquet is directly left of Eric.\n4. The person who loves a carnations arrangement and the person who loves the rose bouquet are next to each other.\n5. Alice is directly left of the bird keeper.\n6. The person who keeps horses is Peter.\n7. The fish enthusiast is the person who loves a bouquet of daffodils.\n8. The person whose favorite color is red is the person who loves a bouquet of daffodils.\n9. The person who is tall is in the third house.\n10. The person who has an average height is somewhere to the left of the person who loves white.\n11. The person whose favorite color is green is not in the second house.\n12. The person who is short is somewhere to the left of the person who is tall.\n13. The person who is short is the person whose favorite color is green.\n\n\nChoices:\n0. green\n1. yellow\n2. white\n3. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique birthday month: `sept`, `april`, `feb`, `jan`, `mar`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `tulips`, `carnations`, `roses`\n\n## Clues:\n1. The person who loves the vase of tulips is somewhere to the left of the person whose birthday is in January.\n2. The person whose birthday is in March and Alice are next to each other.\n3. The person whose birthday is in April is Bob.\n4. The person whose birthday is in January is not in the fourth house.\n5. The person who loves the vase of tulips is not in the first house.\n6. The person whose birthday is in February is in the fifth house.\n7. The person who loves a carnations arrangement is not in the third house.\n8. The person whose birthday is in September is somewhere to the right of Peter.\n9. The person who loves the boquet of lilies is the person whose birthday is in February.\n10. Eric is not in the third house.\n11. The person who loves the rose bouquet is directly left of Alice.\n\n\nChoices:\n0. roses\n1. daffodils\n2. tulips\n3. lilies\n4. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Bob`, `Peter`, `Alice`\n - Everyone has something unique for lunch: `spaghetti`, `stew`, `grilled cheese`, `stir fry`, `pizza`\n - Each person has a favorite color: `red`, `green`, `white`, `blue`, `yellow`\n\n## Clues:\n1. The person who loves blue is somewhere to the left of the person who is a pizza lover.\n2. Bob is somewhere to the left of the person who loves white.\n3. Alice is directly left of the person who loves the stew.\n4. The person who loves stir fry is in the fourth house.\n5. The person who loves white is Peter.\n6. The person who loves the spaghetti eater is Bob.\n7. The person whose favorite color is green is Alice.\n8. The person who loves blue is in the third house.\n9. The person who loves yellow is somewhere to the right of the person who loves stir fry.\n10. Alice is in the first house.\n11. The person who loves yellow is Arnold.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Arnold\n3. Bob\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. Arnold is somewhere to the left of the person who is a doctor.\n2. Arnold is the person whose favorite color is red.\n\n\nChoices:\n0. yellow\n1. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite book genres: `romance`, `mystery`, `science fiction`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. Arnold is the person who loves mystery books.\n2. Peter is directly left of the person who loves romance books.\n3. Peter is somewhere to the left of the person who loves mystery books.\n4. The person whose birthday is in April is somewhere to the right of the person whose birthday is in January.\n5. The person whose birthday is in September is the Swedish person.\n6. The Dane is in the third house.\n7. The person who loves science fiction books is the person whose birthday is in September.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`\n - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `spaghetti`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person who loves eating grilled cheese.\n2. Arnold is not in the first house.\n3. Peter is directly left of the person who enjoys gardening.\n4. The person who loves eating grilled cheese and Peter are next to each other.\n5. There are two houses between the person who loves jazz music and Arnold.\n6. The person who loves cooking is the person who loves rock music.\n7. The person who loves pop music is the person who paints as a hobby.\n8. The person who paints as a hobby is Alice.\n9. The person who enjoys gardening is the person who loves the spaghetti eater.\n\n\nChoices:\n0. spaghetti\n1. grilled cheese\n2. stew\n3. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Bob`, `Arnold`\n - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Kailyn`, `Holly`, `Aniya`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Fred`, `Samantha`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`, `swimming`, `baseball`\n\n## Clues:\n1. The person whose mother's name is Holly is the person who loves tennis.\n2. The person's child is named Samantha is somewhere to the left of The person whose mother's name is Aniya.\n3. The person who loves swimming is directly left of Arnold.\n4. The person who loves basketball is Arnold.\n5. The person who is the mother of Timothy is the person who loves swimming.\n6. Bob is the person's child is named Bella.\n7. The person whose mother's name is Kailyn is the person who loves baseball.\n8. The person's child is named Meredith is in the second house.\n9. The person's child is named Meredith is Arnold.\n10. Alice is the person who is the mother of Timothy.\n11. The person's child is named Samantha is Eric.\n12. The person who loves soccer is not in the fourth house.\n13. The person whose mother's name is Penny is the person who loves swimming.\n14. The person's child is named Fred is in the fourth house.\n15. The person who loves basketball and the person who loves baseball are next to each other.\n\n\nChoices:\n0. Bob\n1. Peter\n2. Eric\n3. Alice\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n - Each person has a unique type of pet: `dog`, `cat`\n\n## Clues:\n1. The person who likes Cherry smoothies is the person who owns a dog.\n2. The person residing in a Victorian house is the person who owns a dog.\n3. The person residing in a Victorian house is somewhere to the left of Eric.\n\n\nChoices:\n0. cherry\n1. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`\n - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`, `swimming`\n - Each person prefers a unique type of vacation: `mountain`, `beach`, `cruise`, `city`\n\n## Clues:\n1. The person who loves beach vacations is the person who loves soccer.\n2. The person who likes going on cruises and Arnold are next to each other.\n3. Eric is the person who owns a Toyota Camry.\n4. The person who owns a Toyota Camry is the person who loves swimming.\n5. The person who loves beach vacations is in the fourth house.\n6. The person who loves jazz music is somewhere to the right of the person who loves rock music.\n7. The person who owns a Toyota Camry is the person who loves pop music.\n8. The person who prefers city breaks is the person who loves jazz music.\n9. The person who loves basketball is directly left of the person who owns a Tesla Model 3.\n10. The person who likes going on cruises is somewhere to the left of the person who owns a Ford F-150.\n11. The person who loves jazz music is directly left of the person who enjoys mountain retreats.\n12. Peter is somewhere to the right of the person who loves rock music.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`\n - Each person has an occupation: `doctor`, `teacher`, `artist`, `engineer`\n - Each person has a unique type of pet: `fish`, `dog`, `bird`, `cat`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `romance`, `mystery`\n\n## Clues:\n1. The person who has a cat is directly left of the person who is a teacher.\n2. Alice and the person who has an average height are next to each other.\n3. The person who is tall is somewhere to the right of Arnold.\n4. The person who keeps a pet bird is not in the third house.\n5. The person who loves science fiction books is the person who is tall.\n6. The person who is a doctor is not in the third house.\n7. The person who loves fantasy books is the person with an aquarium of fish.\n8. Eric is the person who is very short.\n9. The person who is a teacher is directly left of Alice.\n10. The person with an aquarium of fish is somewhere to the right of the person who is an engineer.\n11. The person who loves fantasy books is Eric.\n12. The person who loves romance books and the person with an aquarium of fish are next to each other.\n\n\nChoices:\n0. fantasy\n1. romance\n2. mystery\n3. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`\n\n## Clues:\n1. The person who loves rock music is not in the third house.\n2. Eric is the person's child is named Meredith.\n3. Arnold is the person who loves rock music.\n4. Peter is in the first house.\n5. The person who loves pop music is the person's child is named Fred.\n\n\nChoices:\n0. Fred\n1. Bella\n2. Meredith\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - People have unique favorite book genres: `romance`, `mystery`, `science fiction`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n\n## Clues:\n1. The person who loves mystery books is somewhere to the left of the person who likes Cherry smoothies.\n2. Eric is in the second house.\n3. Peter is in the first house.\n4. Eric is the person who loves romance books.\n5. The Desert smoothie lover is in the third house.\n6. The person who is a pizza lover is Arnold.\n7. The person who loves the spaghetti eater and the person who likes Cherry smoothies are next to each other.\n\n\nChoices:\n0. romance\n1. science fiction\n2. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`\n\n## Clues:\n1. The person whose mother's name is Aniya is not in the first house.\n2. The person who smokes Blue Master is in the third house.\n3. Peter and the person partial to Pall Mall are next to each other.\n4. The person whose mother's name is Janelle is in the third house.\n5. The person with an aquarium of fish is somewhere to the left of the person who owns a dog.\n6. The person who has a cat is The person whose mother's name is Janelle.\n7. Peter is not in the third house.\n8. The person whose mother's name is Aniya is Arnold.\n\n\nChoices:\n0. Holly\n1. Janelle\n2. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `pop`, `rock`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. Arnold is the Prince smoker.\n2. The person who loves a carnations arrangement is the Prince smoker.\n3. The person's child is named Bella is Eric.\n4. The person who loves pop music is Eric.\n5. The person's child is named Bella is in the first house.\n\n\nChoices:\n0. rock\n1. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Bob`, `Arnold`\n - The mothers' names in different houses are unique: `Penny`, `Holly`, `Janelle`, `Aniya`, `Kailyn`\n - Each mother is accompanied by their child: `Samantha`, `Fred`, `Timothy`, `Meredith`, `Bella`\n - People have unique favorite book genres: `mystery`, `fantasy`, `biography`, `science fiction`, `romance`\n\n## Clues:\n1. The person who loves mystery books is somewhere to the left of the person who is the mother of Timothy.\n2. The person whose mother's name is Janelle is in the third house.\n3. The person who loves science fiction books is directly left of the person's child is named Bella.\n4. Arnold is somewhere to the right of the person's child is named Meredith.\n5. The person's child is named Fred is Peter.\n6. Alice is directly left of Eric.\n7. The person whose mother's name is Aniya is in the second house.\n8. The person's child is named Fred is not in the fifth house.\n9. The person who loves romance books is Alice.\n10. The person whose mother's name is Janelle is directly left of the person who is the mother of Timothy.\n11. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Kailyn.\n12. The person who loves science fiction books is Bob.\n13. The person whose mother's name is Janelle is somewhere to the left of the person who loves fantasy books.\n14. The person who loves fantasy books is somewhere to the left of The person whose mother's name is Penny.\n\n\nChoices:\n0. science fiction\n1. biography\n2. romance\n3. fantasy\n4. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - People have unique heights: `short`, `very short`, `average`, `tall`\n - Each person has a favorite color: `yellow`, `white`, `red`, `green`\n - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`\n - The people keep unique animals: `bird`, `fish`, `horse`, `cat`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the bird keeper.\n2. Peter is not in the first house.\n3. The person who loves the rose bouquet is directly left of Eric.\n4. The person who loves a carnations arrangement and the person who loves the rose bouquet are next to each other.\n5. Alice is directly left of the bird keeper.\n6. The person who keeps horses is Peter.\n7. The fish enthusiast is the person who loves a bouquet of daffodils.\n8. The person whose favorite color is red is the person who loves a bouquet of daffodils.\n9. The person who is tall is in the third house.\n10. The person who has an average height is somewhere to the left of the person who loves white.\n11. The person whose favorite color is green is not in the second house.\n12. The person who is short is somewhere to the left of the person who is tall.\n13. The person who is short is the person whose favorite color is green.\n\n\nChoices:\n0. carnations\n1. lilies\n2. daffodils\n3. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a favorite color: `red`, `white`, `yellow`\n\n## Clues:\n1. The person whose favorite color is red and Peter are next to each other.\n2. The person who loves yellow is in the third house.\n3. Eric is the person whose favorite color is red.\n4. Eric is not in the second house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `tesla model 3`, `ford f150`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n - The people are of nationalities: `brit`, `dane`\n - People have unique hair colors: `brown`, `black`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the Prince smoker.\n2. The Dane and the person who owns a Ford F-150 are next to each other.\n3. The British person is somewhere to the right of the Dane.\n4. The person who has black hair is the Dane.\n5. Eric is the British person.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Meredith`, `Fred`, `Samantha`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person's child is named Samantha.\n2. The person whose favorite color is red is directly left of the person who loves white.\n3. Eric is somewhere to the right of the person who loves the stew.\n4. The person who loves white is in the fourth house.\n5. The person whose favorite color is green is not in the second house.\n6. The person whose favorite color is red is the person's child is named Bella.\n7. The person who loves eating grilled cheese is in the second house.\n8. There is one house between the person's child is named Meredith and Alice.\n9. There is one house between Peter and Alice.\n10. Alice is not in the third house.\n\n\nChoices:\n0. Alice\n1. Eric\n2. Arnold\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - People use unique phone models: `huawei p50`, `oneplus 9`, `google pixel 6`, `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. There are two houses between the person who uses a OnePlus 9 and the person who uses an iPhone 13.\n2. Eric and Peter are next to each other.\n3. The person who uses an iPhone 13 is not in the second house.\n4. Arnold is in the second house.\n5. The person who uses a Samsung Galaxy S21 is in the fourth house.\n6. Peter is in the fifth house.\n7. Alice is not in the third house.\n8. The person who uses a Google Pixel 6 is in the third house.\n\n\nChoices:\n0. Bob\n1. Eric\n2. Alice\n3. Arnold\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `oneplus 9`, `google pixel 6`\n - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `daffodils`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the person who uses a Samsung Galaxy S21.\n2. The person who loves the boquet of lilies is the person who uses an iPhone 13.\n3. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves the rose bouquet.\n4. The person who uses a Samsung Galaxy S21 is Eric.\n5. The person who uses a Samsung Galaxy S21 is somewhere to the left of the person who uses an iPhone 13.\n6. Alice is in the first house.\n7. Peter is the person who loves a carnations arrangement.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`, `Bob`\n - Each person has a favorite color: `red`, `green`, `white`, `blue`, `yellow`\n - Each mother is accompanied by their child: `Bella`, `Timothy`, `Samantha`, `Meredith`, `Fred`\n - They all have a unique favorite flower: `tulips`, `daffodils`, `carnations`, `lilies`, `roses`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Eric is the person who is the mother of Timothy.\n3. Alice and Bob are next to each other.\n4. The person who loves blue is not in the fourth house.\n5. The person's child is named Samantha is the person who loves the vase of tulips.\n6. The person who loves the vase of tulips is Alice.\n7. The person's child is named Fred is the person whose favorite color is red.\n8. The person's child is named Bella is in the first house.\n9. There is one house between the person who loves blue and the person who loves yellow.\n10. The person who loves yellow is the person who loves the rose bouquet.\n11. The person's child is named Meredith is somewhere to the left of Bob.\n12. The person who loves white is not in the second house.\n13. The person who loves a carnations arrangement is not in the second house.\n14. The person who loves white is Arnold.\n15. The person who loves the boquet of lilies is in the first house.\n\n\nChoices:\n0. lilies\n1. daffodils\n2. tulips\n3. roses\n4. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `tesla model 3`, `ford f150`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. The person who keeps horses is in the second house.\n2. The person who loves basketball is somewhere to the left of the person who loves eating grilled cheese.\n3. Arnold is directly left of the person who owns a Ford F-150.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - The people keep unique animals: `horse`, `cat`, `fish`, `bird`\n - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `samsung galaxy s21`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n - Each person lives in a unique style of house: `colonial`, `victorian`, `ranch`, `craftsman`\n\n## Clues:\n1. The fish enthusiast is the person who uses an iPhone 13.\n2. Alice is in the fourth house.\n3. Peter is in the first house.\n4. The person residing in a Victorian house is the person whose favorite color is red.\n5. The person who loves white is the person in a Craftsman-style house.\n6. The person whose favorite color is green is in the fourth house.\n7. The person living in a colonial-style house is Eric.\n8. The bird keeper is Peter.\n9. The person who uses a Google Pixel 6 is in the fourth house.\n10. The person who loves white is the person who uses a Samsung Galaxy S21.\n11. The person living in a colonial-style house is the cat lover.\n12. Eric is not in the third house.\n\n\nChoices:\n0. victorian\n1. ranch\n2. colonial\n3. craftsman\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n\n## Clues:\n1. Arnold is the person who enjoys mountain retreats.\n2. The person living in a colonial-style house is the person who enjoys mountain retreats.\n3. The person who enjoys mountain retreats is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`\n - People have unique heights: `very tall`, `average`, `tall`, `very short`, `short`\n\n## Clues:\n1. The person who is short is in the second house.\n2. Peter is directly left of Bob.\n3. Eric is somewhere to the left of Peter.\n4. The person who is very tall is directly left of Peter.\n5. Alice is directly left of the person who has an average height.\n6. The person who is short and the person who is very short are next to each other.\n7. The person who has an average height is in the fifth house.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Arnold\n3. Eric\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - The people keep unique animals: `bird`, `horse`, `fish`, `cat`\n\n## Clues:\n1. Eric is in the fourth house.\n2. There is one house between Arnold and the bird keeper.\n3. The fish enthusiast is in the fourth house.\n4. There is one house between the cat lover and Peter.\n5. Peter is in the third house.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - They all have a unique favorite flower: `lilies`, `carnations`, `roses`, `daffodils`\n - Each person has an occupation: `teacher`, `engineer`, `artist`, `doctor`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `watermelon`, `cherry`\n\n## Clues:\n1. The Dragonfruit smoothie lover is in the first house.\n2. The person who is a doctor is somewhere to the right of Eric.\n3. Eric is the person who likes Cherry smoothies.\n4. Peter is directly left of the person who is an artist.\n5. The Desert smoothie lover is the person who loves a carnations arrangement.\n6. The person who is a teacher is directly left of the Desert smoothie lover.\n7. The person who loves the boquet of lilies is directly left of the person who likes Cherry smoothies.\n8. The person who is a teacher is the person who loves the rose bouquet.\n9. The person who is an engineer is Alice.\n\n\nChoices:\n0. Peter\n1. Alice\n2. Eric\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - Each person has a unique type of pet: `cat`, `dog`\n - People have unique heights: `short`, `very short`\n\n## Clues:\n1. The person who is very short is the photography enthusiast.\n2. Eric is the person who is very short.\n3. The person who has a cat is somewhere to the right of the person who is very short.\n\n\nChoices:\n0. cat\n1. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n - The people keep unique animals: `cat`, `bird`, `horse`\n\n## Clues:\n1. The person with an associate's degree is Eric.\n2. The person who enjoys mountain retreats is in the second house.\n3. Arnold is somewhere to the right of the cat lover.\n4. The bird keeper is the person who enjoys mountain retreats.\n5. The person with a high school diploma is somewhere to the right of the person who loves beach vacations.\n6. The person with a high school diploma is in the third house.\n7. The person with an associate's degree is not in the first house.\n\n\nChoices:\n0. high school\n1. associate\n2. bachelor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`\n - The people keep unique animals: `cat`, `horse`, `bird`\n - The people are of nationalities: `swede`, `dane`, `brit`\n\n## Clues:\n1. The person who loves a carnations arrangement is Eric.\n2. The person in a ranch-style home is Arnold.\n3. The person in a ranch-style home is not in the first house.\n4. The British person is in the first house.\n5. The person who loves a bouquet of daffodils is Peter.\n6. The Swedish person is Eric.\n7. The cat lover is in the second house.\n8. The person residing in a Victorian house is directly left of the person who keeps horses.\n\n\nChoices:\n0. horse\n1. cat\n2. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`, `Bob`\n - Each person has a unique type of pet: `hamster`, `bird`, `cat`, `dog`, `fish`\n - Each person has a unique birthday month: `jan`, `feb`, `mar`, `april`, `sept`\n\n## Clues:\n1. The person who has a cat is not in the fifth house.\n2. The person whose birthday is in April is somewhere to the left of Peter.\n3. Arnold is the person whose birthday is in April.\n4. There are two houses between Arnold and Bob.\n5. The person whose birthday is in April is somewhere to the right of the person whose birthday is in February.\n6. Arnold is the person with a pet hamster.\n7. Eric is not in the fourth house.\n8. Peter is the person whose birthday is in January.\n9. The person whose birthday is in September is the person with an aquarium of fish.\n10. Eric is the person whose birthday is in September.\n11. The person who keeps a pet bird is somewhere to the left of the person whose birthday is in January.\n12. Alice is somewhere to the left of the person who has a cat.\n\n\nChoices:\n0. jan\n1. april\n2. sept\n3. feb\n4. mar\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `pop`, `rock`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. Arnold is the Prince smoker.\n2. The person who loves a carnations arrangement is the Prince smoker.\n3. The person's child is named Bella is Eric.\n4. The person who loves pop music is Eric.\n5. The person's child is named Bella is in the first house.\n\n\nChoices:\n0. carnations\n1. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`, `Bob`\n - Each person lives in a unique style of house: `craftsman`, `modern`, `victorian`, `ranch`, `colonial`\n - Each person has a unique type of pet: `cat`, `bird`, `dog`, `hamster`, `fish`\n - Each person has a unique favorite drink: `coffee`, `milk`, `tea`, `water`, `root beer`\n\n## Clues:\n1. The person who has a cat is in the third house.\n2. The person with an aquarium of fish is Arnold.\n3. The root beer lover is in the fourth house.\n4. There is one house between the person in a Craftsman-style house and the person residing in a Victorian house.\n5. The person who has a cat is Bob.\n6. Peter is the person with a pet hamster.\n7. The person in a modern-style house is the person who has a cat.\n8. The coffee drinker is not in the fifth house.\n9. The one who only drinks water is the person who owns a dog.\n10. The person living in a colonial-style house and the person with an aquarium of fish are next to each other.\n11. The person with an aquarium of fish is the person in a Craftsman-style house.\n12. The tea drinker is in the third house.\n13. The person residing in a Victorian house is somewhere to the right of Alice.\n14. The person in a ranch-style home is somewhere to the right of Eric.\n\n\nChoices:\n0. hamster\n1. cat\n2. dog\n3. bird\n4. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People own unique car models: `toyota camry`, `tesla model 3`, `ford f150`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n\n## Clues:\n1. The person who loves science fiction books is directly left of the person who is a teacher.\n2. Arnold is in the third house.\n3. The person who owns a Ford F-150 is the person who is a teacher.\n4. The person who is an engineer is the person who owns a Toyota Camry.\n5. The person who is an engineer is somewhere to the right of the person who is a teacher.\n6. The person who loves mystery books is the person who is a teacher.\n7. The person who loves science fiction books is Eric.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`, `Samantha`\n - People have unique hair colors: `red`, `brown`, `black`, `blonde`\n - They all have a unique favorite flower: `carnations`, `roses`, `daffodils`, `lilies`\n - The people keep unique animals: `cat`, `bird`, `fish`, `horse`\n\n## Clues:\n1. Alice is somewhere to the right of the person who has red hair.\n2. The person who loves a bouquet of daffodils is directly left of Arnold.\n3. The fish enthusiast is the person's child is named Samantha.\n4. Alice is directly left of the bird keeper.\n5. The cat lover is the person who loves the rose bouquet.\n6. The person who loves a carnations arrangement is somewhere to the right of the person who has brown hair.\n7. The person who loves a bouquet of daffodils is directly left of the bird keeper.\n8. Eric is the person's child is named Meredith.\n9. There are two houses between the person who has red hair and the person who has black hair.\n10. Eric is in the fourth house.\n11. The person's child is named Bella is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. black\n1. red\n2. brown\n3. blonde\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`, `Bob`\n - Each person has a unique favorite drink: `root beer`, `tea`, `water`, `coffee`, `milk`\n - People have unique favorite music genres: `pop`, `hip hop`, `classical`, `jazz`, `rock`\n - The people are of nationalities: `dane`, `norwegian`, `swede`, `german`, `brit`\n - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`, `blends`\n\n## Clues:\n1. The Dunhill smoker is not in the second house.\n2. The person who loves rock music is directly left of the person who loves classical music.\n3. Peter is the person who loves jazz music.\n4. Arnold is directly left of the Dane.\n5. The root beer lover is the German.\n6. The tea drinker is the Swedish person.\n7. The Swedish person is the person who loves classical music.\n8. The Dunhill smoker is not in the fourth house.\n9. The person who loves jazz music is the Prince smoker.\n10. Eric and the person who loves hip-hop music are next to each other.\n11. There are two houses between the person partial to Pall Mall and the Swedish person.\n12. Arnold is somewhere to the right of Eric.\n13. The coffee drinker is somewhere to the right of the Dunhill smoker.\n14. The Norwegian is somewhere to the right of the person who smokes Blue Master.\n15. There is one house between the one who only drinks water and the person who smokes many unique blends.\n16. Alice is the tea drinker.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Bob\n3. Peter\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has a unique level of education: `master`, `high school`, `associate`, `bachelor`\n - The people keep unique animals: `bird`, `horse`, `cat`, `fish`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`, `coffee`\n\n## Clues:\n1. Peter is directly left of the fish enthusiast.\n2. The person with a master's degree is in the second house.\n3. The coffee drinker is the person who owns a dog.\n4. Arnold is the person with an associate's degree.\n5. The person with a bachelor's degree is the person who owns a dog.\n6. The one who only drinks water is the bird keeper.\n7. Alice is the person with an aquarium of fish.\n8. The person who keeps horses is in the first house.\n9. The person with a master's degree is the tea drinker.\n10. The person with an associate's degree is the person who keeps a pet bird.\n11. The fish enthusiast is the coffee drinker.\n12. The person with an associate's degree is not in the fourth house.\n13. Eric is not in the fourth house.\n\n\nChoices:\n0. bird\n1. dog\n2. cat\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`\n - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`\n - Everyone has a favorite smoothie: `dragonfruit`, `desert`, `watermelon`, `cherry`\n - People have unique favorite book genres: `fantasy`, `romance`, `mystery`, `science fiction`\n\n## Clues:\n1. The Dragonfruit smoothie lover is The person whose mother's name is Janelle.\n2. Alice is directly left of the person who loves science fiction books.\n3. The Desert smoothie lover is directly left of the Watermelon smoothie lover.\n4. The person whose mother's name is Holly is the person who loves mystery books.\n5. Alice is somewhere to the left of Peter.\n6. The person who loves fantasy books is Peter.\n7. Peter and the person who likes Cherry smoothies are next to each other.\n8. The person who loves romance books is not in the first house.\n9. The person whose mother's name is Aniya is somewhere to the right of the Dragonfruit smoothie lover.\n10. The person who loves science fiction books is Arnold.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Arnold\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`, `Bob`\n - Each person has a unique type of pet: `hamster`, `bird`, `cat`, `dog`, `fish`\n - Each person has a unique birthday month: `jan`, `feb`, `mar`, `april`, `sept`\n\n## Clues:\n1. The person who has a cat is not in the fifth house.\n2. The person whose birthday is in April is somewhere to the left of Peter.\n3. Arnold is the person whose birthday is in April.\n4. There are two houses between Arnold and Bob.\n5. The person whose birthday is in April is somewhere to the right of the person whose birthday is in February.\n6. Arnold is the person with a pet hamster.\n7. Eric is not in the fourth house.\n8. Peter is the person whose birthday is in January.\n9. The person whose birthday is in September is the person with an aquarium of fish.\n10. Eric is the person whose birthday is in September.\n11. The person who keeps a pet bird is somewhere to the left of the person whose birthday is in January.\n12. Alice is somewhere to the left of the person who has a cat.\n\n\nChoices:\n0. dog\n1. bird\n2. fish\n3. hamster\n4. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Bob`, `Arnold`\n - People have unique favorite book genres: `mystery`, `fantasy`, `biography`, `science fiction`, `romance`\n - Each person prefers a unique type of vacation: `mountain`, `camping`, `city`, `beach`, `cruise`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Penny`, `Aniya`\n\n## Clues:\n1. Bob is the person who loves fantasy books.\n2. The person whose mother's name is Janelle and Eric are next to each other.\n3. The person who enjoys camping trips is the person who loves biography books.\n4. Peter is The person whose mother's name is Kailyn.\n5. Peter and The person whose mother's name is Janelle are next to each other.\n6. The person who loves beach vacations is Bob.\n7. Peter is somewhere to the right of the person who loves romance books.\n8. The person whose mother's name is Penny is the person who loves biography books.\n9. Bob is directly left of the person who prefers city breaks.\n10. The person who loves science fiction books is in the fourth house.\n11. Arnold and Bob are next to each other.\n12. The person whose mother's name is Aniya is the person who enjoys mountain retreats.\n\n\nChoices:\n0. beach\n1. camping\n2. mountain\n3. cruise\n4. city\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `photography`, `gardening`\n - Each person has a unique type of pet: `cat`, `dog`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. The person who has a cat is Arnold.\n2. Eric is directly left of Arnold.\n3. The person who enjoys gardening is the person who loves yellow.\n4. The person who enjoys gardening is in the first house.\n5. The person whose mother's name is Aniya is not in the second house.\n\n\nChoices:\n0. Holly\n1. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The British person is directly left of Eric.\n2. The person whose birthday is in September is directly left of Arnold.\n3. The person's child is named Fred is in the second house.\n4. The person's child is named Bella is Arnold.\n5. The Swedish person is the person whose birthday is in January.\n\n\nChoices:\n0. jan\n1. sept\n2. april\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique heights: `short`, `average`, `very short`\n\n## Clues:\n1. Peter is somewhere to the right of Eric.\n2. The person who is short is in the first house.\n3. There is one house between the person who is short and the person who is very short.\n4. Arnold and the person who is very short are next to each other.\n\n\nChoices:\n0. average\n1. very short\n2. short\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique type of pet: `bird`, `dog`, `hamster`, `fish`, `cat`\n - People have unique favorite book genres: `fantasy`, `romance`, `science fiction`, `biography`, `mystery`\n - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `baseball`, `swimming`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`, `blends`, `dunhill`\n\n## Clues:\n1. The Dunhill smoker is in the fifth house.\n2. The person with an aquarium of fish is directly left of the person who loves biography books.\n3. The person who loves mystery books is somewhere to the left of Arnold.\n4. The person who smokes many unique blends is the person who loves soccer.\n5. The person who loves romance books is directly left of the person who smokes Blue Master.\n6. Arnold is somewhere to the right of the person who loves fantasy books.\n7. Alice is not in the third house.\n8. The person who loves fantasy books is Peter.\n9. The person partial to Pall Mall is somewhere to the left of Eric.\n10. The person who keeps a pet bird is in the second house.\n11. The person who smokes many unique blends is the person with a pet hamster.\n12. Eric is directly left of the person who loves tennis.\n13. The person who loves tennis is in the fifth house.\n14. The person who loves swimming is directly left of the person who keeps a pet bird.\n15. The person partial to Pall Mall is the person who loves baseball.\n16. The person who has a cat and Arnold are next to each other.\n\n\nChoices:\n0. mystery\n1. biography\n2. romance\n3. science fiction\n4. fantasy\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`\n\n## Clues:\n1. The person who loves mystery books is directly left of Peter.\n2. The Swedish person is the person who likes milk.\n3. Arnold is the Dane.\n4. Eric is somewhere to the left of the tea drinker.\n5. Eric is not in the first house.\n6. Peter is the person who loves science fiction books.\n\n\nChoices:\n0. milk\n1. tea\n2. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is directly left of Peter.\n2. Eric is in the second house.\n3. The Dane is the person in a ranch-style home.\n4. The person who owns a dog is the person living in a colonial-style house.\n5. The person who has a cat is the Dane.\n6. The British person is in the third house.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Arnold`, `Alice`\n - Each person prefers a unique type of vacation: `mountain`, `camping`, `cruise`, `beach`, `city`\n\n## Clues:\n1. Eric is directly left of Arnold.\n2. Eric is the person who likes going on cruises.\n3. Bob is not in the second house.\n4. Peter is not in the second house.\n5. Arnold is in the fifth house.\n6. Peter is not in the first house.\n7. Alice is the person who prefers city breaks.\n8. The person who loves beach vacations is directly left of Eric.\n9. Arnold is the person who enjoys camping trips.\n\n\nChoices:\n0. beach\n1. city\n2. cruise\n3. mountain\n4. camping\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `oneplus 9`, `google pixel 6`\n - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `daffodils`\n\n## Clues:\n1. The person who loves a carnations arrangement is somewhere to the left of the person who uses a Samsung Galaxy S21.\n2. The person who loves the boquet of lilies is the person who uses an iPhone 13.\n3. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves the rose bouquet.\n4. The person who uses a Samsung Galaxy S21 is Eric.\n5. The person who uses a Samsung Galaxy S21 is somewhere to the left of the person who uses an iPhone 13.\n6. Alice is in the first house.\n7. Peter is the person who loves a carnations arrangement.\n\n\nChoices:\n0. roses\n1. daffodils\n2. carnations\n3. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Bob`, `Peter`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `dragonfruit`, `lime`, `desert`\n - People have unique favorite music genres: `hip hop`, `classical`, `rock`, `pop`, `jazz`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`, `stir fry`, `stew`\n - Each person has a unique favorite drink: `tea`, `root beer`, `milk`, `water`, `coffee`\n\n## Clues:\n1. The coffee drinker is not in the first house.\n2. The person who loves jazz music is the Desert smoothie lover.\n3. The Watermelon smoothie lover is in the fourth house.\n4. The coffee drinker is directly left of Peter.\n5. The one who only drinks water is the person who loves hip-hop music.\n6. The Dragonfruit smoothie lover is directly left of the one who only drinks water.\n7. The Desert smoothie lover is in the fifth house.\n8. The person who loves stir fry is somewhere to the right of Bob.\n9. The person who is a pizza lover is the person who likes Cherry smoothies.\n10. The person who loves classical music is the person who loves the stew.\n11. The one who only drinks water is Bob.\n12. The root beer lover is the Dragonfruit smoothie lover.\n13. There is one house between Arnold and the person who likes Cherry smoothies.\n14. The person who loves the spaghetti eater is in the fifth house.\n15. The person who likes milk is in the fifth house.\n16. The person who likes Cherry smoothies is Bob.\n17. The Dragonfruit smoothie lover is the person who loves the stew.\n18. Eric and Peter are next to each other.\n19. The person who loves rock music is not in the first house.\n\n\nChoices:\n0. dragonfruit\n1. watermelon\n2. lime\n3. desert\n4. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `high school`, `associate`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n\n## Clues:\n1. The person with an associate's degree is in the first house.\n2. The person whose mother's name is Holly is Arnold.\n3. The person whose mother's name is Holly is not in the second house.\n\n\nChoices:\n0. associate\n1. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`, `google pixel 6`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n - The people keep unique animals: `bird`, `horse`, `cat`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is directly left of the person who is a teacher.\n2. The person who uses a Samsung Galaxy S21 and Arnold are next to each other.\n3. The person who is an engineer is the person who keeps horses.\n4. The person who uses an iPhone 13 is the cat lover.\n5. The bird keeper is the person who uses a Samsung Galaxy S21.\n6. The person who loves cooking is not in the third house.\n7. The person who enjoys gardening is directly left of the person who is a teacher.\n8. There is one house between Eric and the person who uses an iPhone 13.\n\n\nChoices:\n0. samsung galaxy s21\n1. google pixel 6\n2. iphone 13\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n - People have unique heights: `short`, `very short`, `average`\n\n## Clues:\n1. Peter is the Watermelon smoothie lover.\n2. Eric is the person who has an average height.\n3. The person who has an average height is the person who loves tennis.\n4. The person who loves soccer is the person residing in a Victorian house.\n5. The person who likes Cherry smoothies is in the first house.\n6. The person living in a colonial-style house is in the first house.\n7. Peter is directly left of the person residing in a Victorian house.\n8. The person who is short is Peter.\n\n\nChoices:\n0. colonial\n1. victorian\n2. ranch\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`, `Bob`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Samantha`, `Meredith`, `Timothy`\n - Each person has a unique hobby: `painting`, `photography`, `cooking`, `knitting`, `gardening`\n\n## Clues:\n1. The person's child is named Fred is the person who enjoys gardening.\n2. The person's child is named Meredith is directly left of the person who enjoys gardening.\n3. Bob is not in the second house.\n4. Eric is directly left of the person who paints as a hobby.\n5. The person who loves cooking is not in the fourth house.\n6. Bob is directly left of Alice.\n7. The person who is the mother of Timothy is directly left of the person who loves cooking.\n8. The person who enjoys knitting is the person's child is named Bella.\n9. The person's child is named Bella is somewhere to the left of the photography enthusiast.\n10. The person who paints as a hobby is the person's child is named Samantha.\n11. Peter is not in the third house.\n\n\nChoices:\n0. photography\n1. gardening\n2. painting\n3. cooking\n4. knitting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n - Each person lives in a unique style of house: `craftsman`, `modern`, `colonial`, `victorian`, `ranch`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `biography`, `romance`, `mystery`\n\n## Clues:\n1. Alice is not in the fourth house.\n2. Arnold is not in the fourth house.\n3. The person who loves blue is Bob.\n4. The person who loves white is in the fifth house.\n5. The person who loves romance books is not in the fifth house.\n6. The person who loves science fiction books is not in the fifth house.\n7. The person whose favorite color is green is not in the fourth house.\n8. The person who loves romance books is somewhere to the right of the person in a ranch-style home.\n9. The person residing in a Victorian house is in the first house.\n10. The person whose favorite color is red is in the second house.\n11. The person in a modern-style house is somewhere to the right of Arnold.\n12. Eric is the person living in a colonial-style house.\n13. The person who loves science fiction books is somewhere to the right of Bob.\n14. The person who loves fantasy books is the person residing in a Victorian house.\n15. The person in a Craftsman-style house is not in the fifth house.\n16. The person who loves biography books is the person whose favorite color is red.\n17. Eric is in the third house.\n18. The person who loves romance books is somewhere to the right of Eric.\n\n\nChoices:\n0. green\n1. blue\n2. white\n3. yellow\n4. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - The people are of nationalities: `dane`, `brit`\n - Each person has a unique level of education: `associate`, `high school`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. Eric is not in the first house.\n2. The British person is in the second house.\n3. Eric is the person with a high school diploma.\n4. The person partial to Pall Mall is the British person.\n5. The person who owns a Tesla Model 3 is the person partial to Pall Mall.\n\n\nChoices:\n0. pall mall\n1. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`, `dunhill`\n - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `basketball`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `craftsman`, `victorian`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`, `dragonfruit`\n\n## Clues:\n1. The Dunhill smoker is in the first house.\n2. The person who smokes Blue Master is the Watermelon smoothie lover.\n3. The person in a ranch-style home is the person who loves basketball.\n4. The person who loves soccer is in the second house.\n5. The Dunhill smoker is the person who likes Cherry smoothies.\n6. The person who loves swimming is somewhere to the right of the person who smokes Blue Master.\n7. The Dragonfruit smoothie lover is Alice.\n8. The Prince smoker is the Dragonfruit smoothie lover.\n9. The Watermelon smoothie lover is not in the second house.\n10. Arnold is the person who smokes Blue Master.\n11. The person who loves swimming is the person living in a colonial-style house.\n12. The person who loves swimming is Peter.\n13. The person in a Craftsman-style house is directly left of the person in a ranch-style home.\n\n\nChoices:\n0. watermelon\n1. cherry\n2. dragonfruit\n3. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n - Each person has a unique birthday month: `jan`, `feb`, `sept`, `april`\n - The people are of nationalities: `swede`, `dane`, `brit`, `norwegian`\n\n## Clues:\n1. The person who enjoys mountain retreats is Alice.\n2. The Norwegian is somewhere to the left of the person whose birthday is in September.\n3. The person who prefers city breaks is the British person.\n4. Alice and Eric are next to each other.\n5. The person who likes going on cruises is not in the fourth house.\n6. Alice is somewhere to the left of the person whose birthday is in January.\n7. The person who enjoys mountain retreats is the Norwegian.\n8. Alice is directly left of the Swedish person.\n9. Eric is in the third house.\n10. The person whose birthday is in April is Peter.\n11. The Dane is the person whose birthday is in September.\n\n\nChoices:\n0. beach\n1. mountain\n2. city\n3. cruise\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Arnold`, `Alice`\n - The people keep unique animals: `dog`, `fish`, `bird`, `horse`, `cat`\n - The people are of nationalities: `dane`, `swede`, `brit`, `german`, `norwegian`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Timothy`, `Samantha`, `Fred`\n - Each person has a unique type of pet: `bird`, `fish`, `hamster`, `cat`, `dog`\n\n## Clues:\n1. The dog owner is not in the third house.\n2. The person who keeps a pet bird is in the fourth house.\n3. The German is Eric.\n4. Bob is somewhere to the left of the person's child is named Fred.\n5. The person with a pet hamster is Arnold.\n6. The British person is the dog owner.\n7. The person's child is named Meredith is not in the third house.\n8. The fish enthusiast is the person's child is named Samantha.\n9. The person who is the mother of Timothy is the German.\n10. The person who has a cat is in the fifth house.\n11. Peter is not in the fourth house.\n12. The Swedish person and the person's child is named Samantha are next to each other.\n13. The Swedish person is Peter.\n14. The Dane is in the second house.\n15. Eric and the cat lover are next to each other.\n16. The German is in the first house.\n17. The person with an aquarium of fish is somewhere to the right of the bird keeper.\n\n\nChoices:\n0. norwegian\n1. dane\n2. german\n3. brit\n4. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Eric`, `Bob`\n - Each person lives in a unique style of house: `ranch`, `modern`, `victorian`, `colonial`, `craftsman`\n - The people keep unique animals: `dog`, `horse`, `cat`, `bird`, `fish`\n\n## Clues:\n1. The dog owner is Arnold.\n2. Arnold is not in the second house.\n3. The person in a ranch-style home is somewhere to the left of Alice.\n4. Peter is the person in a modern-style house.\n5. The person in a modern-style house is somewhere to the right of the person living in a colonial-style house.\n6. The person who keeps horses is somewhere to the left of Bob.\n7. There is one house between the bird keeper and Peter.\n8. The bird keeper is somewhere to the left of the cat lover.\n9. The bird keeper is the person living in a colonial-style house.\n10. The person residing in a Victorian house is Arnold.\n11. The person who keeps horses is Peter.\n\n\nChoices:\n0. horse\n1. bird\n2. dog\n3. cat\n4. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Meredith`, `Fred`, `Samantha`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - Each person has a favorite color: `red`, `white`, `yellow`, `green`\n\n## Clues:\n1. The person who is a pizza lover is somewhere to the left of the person's child is named Samantha.\n2. The person whose favorite color is red is directly left of the person who loves white.\n3. Eric is somewhere to the right of the person who loves the stew.\n4. The person who loves white is in the fourth house.\n5. The person whose favorite color is green is not in the second house.\n6. The person whose favorite color is red is the person's child is named Bella.\n7. The person who loves eating grilled cheese is in the second house.\n8. There is one house between the person's child is named Meredith and Alice.\n9. There is one house between Peter and Alice.\n10. Alice is not in the third house.\n\n\nChoices:\n0. red\n1. green\n2. white\n3. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`, `Bob`\n - Each person has a unique hobby: `painting`, `cooking`, `knitting`, `gardening`, `photography`\n\n## Clues:\n1. Alice is directly left of the person who enjoys gardening.\n2. Eric and the photography enthusiast are next to each other.\n3. The person who loves cooking is directly left of the person who enjoys knitting.\n4. Peter is somewhere to the left of Alice.\n5. Eric is in the third house.\n6. Arnold is directly left of the person who paints as a hobby.\n7. The person who enjoys gardening is in the fifth house.\n\n\nChoices:\n0. knitting\n1. painting\n2. cooking\n3. photography\n4. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Alice`, `Eric`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `blends`, `pall mall`\n - People have unique favorite music genres: `rock`, `classical`, `hip hop`, `pop`, `jazz`\n - Each person has a unique birthday month: `feb`, `april`, `sept`, `jan`, `mar`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`, `biography`, `fantasy`\n\n## Clues:\n1. The person who loves pop music is the person who loves romance books.\n2. The person who loves fantasy books is in the second house.\n3. The person who smokes Blue Master is the person who loves science fiction books.\n4. The person who loves hip-hop music is the person whose birthday is in September.\n5. The person who loves biography books is Arnold.\n6. Alice is the person who loves science fiction books.\n7. The person who loves jazz music is somewhere to the left of Eric.\n8. The person who smokes Blue Master is the person whose birthday is in April.\n9. The person who smokes many unique blends is not in the third house.\n10. The Dunhill smoker is the person whose birthday is in February.\n11. The person who loves science fiction books is in the fifth house.\n12. The person who loves classical music is Bob.\n13. The person who loves pop music is Eric.\n14. The person who loves mystery books is the person partial to Pall Mall.\n15. Peter is the person whose birthday is in February.\n16. The person whose birthday is in March is the person who smokes many unique blends.\n17. The person who loves classical music is not in the first house.\n\n\nChoices:\n0. sept\n1. feb\n2. jan\n3. april\n4. mar\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - The people keep unique animals: `cat`, `bird`, `horse`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - The people are of nationalities: `swede`, `dane`, `brit`\n\n## Clues:\n1. The person who likes milk is not in the first house.\n2. The person who keeps horses is somewhere to the left of Eric.\n3. The person who loves basketball is Peter.\n4. The Swedish person is somewhere to the left of the one who only drinks water.\n5. The person who loves tennis is the tea drinker.\n6. The person who loves soccer is the bird keeper.\n7. The cat lover is the British person.\n8. Peter is not in the third house.\n9. The person who likes milk is the person who loves soccer.\n\n\nChoices:\n0. dane\n1. brit\n2. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People use unique phone models: `samsung galaxy s21`, `iphone 13`\n - Each person has a unique favorite drink: `water`, `tea`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 and the tea drinker are next to each other.\n2. Arnold is in the first house.\n3. The person who uses a Samsung Galaxy S21 and Eric are next to each other.\n\n\nChoices:\n0. iphone 13\n1. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite book genres: `romance`, `science fiction`, `biography`, `fantasy`, `mystery`\n - Each person prefers a unique type of vacation: `camping`, `cruise`, `beach`, `mountain`, `city`\n\n## Clues:\n1. The person who loves biography books is Eric.\n2. The person who loves biography books is directly left of the person who loves mystery books.\n3. The person who loves science fiction books is directly left of the person who loves fantasy books.\n4. There are two houses between Bob and the person who likes going on cruises.\n5. The person who enjoys mountain retreats is in the first house.\n6. The person who loves mystery books is somewhere to the right of the person who prefers city breaks.\n7. The person who enjoys camping trips is Arnold.\n8. Alice is not in the third house.\n9. The person who loves mystery books is not in the fifth house.\n10. The person who loves beach vacations is the person who loves mystery books.\n\n\nChoices:\n0. Eric\n1. Bob\n2. Alice\n3. Arnold\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`, `swimming`\n - People own unique car models: `tesla model 3`, `toyota camry`, `honda civic`, `ford f150`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves the rose bouquet.\n2. Peter is the Dragonfruit smoothie lover.\n3. The Desert smoothie lover is the person who owns a Toyota Camry.\n4. The person who loves tennis is in the first house.\n5. The person who owns a Toyota Camry and the person who loves basketball are next to each other.\n6. Arnold is the person who loves basketball.\n7. The person who owns a Honda Civic is the person who loves a bouquet of daffodils.\n8. Eric is the person who loves the rose bouquet.\n9. The Watermelon smoothie lover is not in the first house.\n10. The person who owns a Honda Civic is somewhere to the right of the Desert smoothie lover.\n11. The person who loves basketball is the person who loves the boquet of lilies.\n12. The person who loves tennis and the person who loves soccer are next to each other.\n\n\nChoices:\n0. carnations\n1. daffodils\n2. lilies\n3. roses\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Each person lives in a unique style of house: `craftsman`, `ranch`, `victorian`, `colonial`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`, `coffee`\n\n## Clues:\n1. Eric is the one who only drinks water.\n2. The person who likes milk is the person residing in a Victorian house.\n3. The person in a ranch-style home is somewhere to the left of the person in a Craftsman-style house.\n4. Eric is in the third house.\n5. Arnold is somewhere to the right of Alice.\n6. The person in a ranch-style home is Arnold.\n7. Eric and the person residing in a Victorian house are next to each other.\n8. The tea drinker is not in the first house.\n\n\nChoices:\n0. ranch\n1. craftsman\n2. colonial\n3. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`, `fantasy`\n\n## Clues:\n1. Arnold is the person who loves science fiction books.\n2. The person who loves fantasy books is not in the second house.\n3. Alice is not in the second house.\n4. The person who loves romance books is in the first house.\n5. Peter is the person who loves romance books.\n6. Arnold is somewhere to the right of Alice.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`\n - The people keep unique animals: `cat`, `horse`\n\n## Clues:\n1. Eric is directly left of the person who owns a Tesla Model 3.\n2. The person who keeps horses is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `doctor`, `engineer`\n - People have unique hair colors: `brown`, `black`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is Arnold.\n2. The person who has black hair is not in the second house.\n3. Eric is somewhere to the right of the person who is an engineer.\n\n\nChoices:\n0. doctor\n1. engineer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a favorite color: `yellow`, `red`\n\n## Clues:\n1. Eric is the person who loves yellow.\n2. The person whose birthday is in April is in the first house.\n3. The person who loves yellow is not in the first house.\n\n\nChoices:\n0. april\n1. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - People have unique favorite sports: `soccer`, `basketball`\n - Each person has a unique favorite drink: `water`, `tea`\n\n## Clues:\n1. The one who only drinks water is the person who loves soccer.\n2. The person who owns a Tesla Model 3 is somewhere to the left of the person who loves soccer.\n3. The person who loves basketball is the person who is a pizza lover.\n4. The person who is a pizza lover is Eric.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. Eric is somewhere to the right of the person who owns a Tesla Model 3.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique hobby: `gardening`, `photography`, `cooking`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n\n## Clues:\n1. Eric is directly left of the Prince smoker.\n2. There is one house between the person who likes milk and the person who enjoys gardening.\n3. Arnold is the Prince smoker.\n4. Peter is not in the third house.\n5. The tea drinker is the person who loves cooking.\n6. The person partial to Pall Mall is the photography enthusiast.\n\n\nChoices:\n0. blue master\n1. prince\n2. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`, `dragonfruit`\n - Each person has a favorite color: `green`, `white`, `red`, `yellow`\n\n## Clues:\n1. The Dragonfruit smoothie lover is Eric.\n2. The person who likes Cherry smoothies is in the second house.\n3. The Dragonfruit smoothie lover is in the fourth house.\n4. Arnold is the Watermelon smoothie lover.\n5. The person who loves white is in the first house.\n6. Peter is the person who loves white.\n7. The person who loves yellow is the Watermelon smoothie lover.\n8. The Dragonfruit smoothie lover is the person whose favorite color is red.\n\n\nChoices:\n0. white\n1. red\n2. yellow\n3. green\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n\n## Clues:\n1. The person residing in a Victorian house is not in the first house.\n2. The person's child is named Fred is Arnold.\n3. Eric is not in the second house.\n\n\nChoices:\n0. colonial\n1. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - People have unique favorite music genres: `rock`, `pop`\n - The mothers' names in different houses are unique: `Holly`, `Aniya`\n\n## Clues:\n1. The photography enthusiast is somewhere to the right of Eric.\n2. The person whose mother's name is Holly is the photography enthusiast.\n3. The person who loves rock music is Arnold.\n\n\nChoices:\n0. Aniya\n1. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `tesla model 3`, `ford f150`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite sports: `soccer`, `basketball`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. The person who keeps horses is in the second house.\n2. The person who loves basketball is somewhere to the left of the person who loves eating grilled cheese.\n3. Arnold is directly left of the person who owns a Ford F-150.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has an occupation: `engineer`, `doctor`\n - Each person has a favorite color: `red`, `yellow`\n - Each person prefers a unique type of vacation: `beach`, `mountain`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n\n## Clues:\n1. The person living in a colonial-style house is directly left of Arnold.\n2. The person whose favorite color is red is Arnold.\n3. Arnold is the person who is a doctor.\n4. The person who is an engineer is the person who enjoys mountain retreats.\n\n\nChoices:\n0. colonial\n1. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n\n## Clues:\n1. The person who is a doctor and Eric are next to each other.\n2. The person who loves cooking is directly left of the person who is a teacher.\n3. The person who is a doctor is somewhere to the right of the person who enjoys gardening.\n4. The photography enthusiast is the person who is a teacher.\n5. The person who is an engineer is Peter.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n\n## Clues:\n1. The Desert smoothie lover is the person who is a doctor.\n2. Arnold is not in the third house.\n3. The person who likes Cherry smoothies is somewhere to the right of Peter.\n4. The person who loves cooking is in the second house.\n5. The person who loves cooking is Peter.\n6. The person with an associate's degree is somewhere to the right of the person who enjoys gardening.\n7. The person with a bachelor's degree is somewhere to the right of the Desert smoothie lover.\n8. The person who loves cooking is the person who is a doctor.\n9. The photography enthusiast is the person who is a teacher.\n\n\nChoices:\n0. associate\n1. high school\n2. bachelor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - Each person has a unique birthday month: `jan`, `sept`, `april`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a favorite color: `yellow`, `white`, `red`\n\n## Clues:\n1. The Dane is the person whose favorite color is red.\n2. The person who loves yellow is the person whose birthday is in September.\n3. The person whose birthday is in September is directly left of the person whose birthday is in April.\n4. The person whose birthday is in September is somewhere to the left of Arnold.\n5. The Dane is in the second house.\n6. The person whose birthday is in January is Peter.\n7. The British person is the person who loves white.\n\n\nChoices:\n0. brit\n1. swede\n2. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - People own unique car models: `honda civic`, `tesla model 3`, `ford f150`, `toyota camry`\n - Each person has a unique type of pet: `bird`, `cat`, `fish`, `dog`\n - People use unique phone models: `oneplus 9`, `iphone 13`, `google pixel 6`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who owns a dog.\n2. Alice is not in the second house.\n3. The person who uses an iPhone 13 is the person who owns a Toyota Camry.\n4. The person who uses a Google Pixel 6 is not in the fourth house.\n5. The person who owns a Ford F-150 is not in the second house.\n6. The person with an aquarium of fish is directly left of the person who keeps a pet bird.\n7. Peter is the person who uses a Google Pixel 6.\n8. The person who owns a Tesla Model 3 is directly left of the person who uses an iPhone 13.\n9. Eric is not in the second house.\n10. Eric is not in the first house.\n11. The person who uses a Google Pixel 6 and the person who owns a Ford F-150 are next to each other.\n12. The person who uses a OnePlus 9 is somewhere to the left of the person who owns a Ford F-150.\n\n\nChoices:\n0. bird\n1. fish\n2. dog\n3. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Bob`, `Alice`\n - Each person has a unique type of pet: `fish`, `dog`, `cat`, `bird`, `hamster`\n - People have unique hair colors: `black`, `red`, `gray`, `blonde`, `brown`\n - People have unique heights: `tall`, `very tall`, `very short`, `short`, `average`\n - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Holly`, `Aniya`, `Kailyn`\n\n## Clues:\n1. The person who has red hair is the person who keeps a pet bird.\n2. The person whose mother's name is Kailyn is Eric.\n3. There is one house between the person who has gray hair and the person who has a cat.\n4. The person whose mother's name is Janelle is Peter.\n5. The person who is tall is directly left of The person whose mother's name is Janelle.\n6. The person who has an average height is directly left of the person who has brown hair.\n7. The person whose mother's name is Kailyn is the person who is very short.\n8. The person who is very tall is somewhere to the right of The person whose mother's name is Janelle.\n9. The person whose mother's name is Penny is in the first house.\n10. The person with a pet hamster is in the first house.\n11. The person who is tall is the person with an aquarium of fish.\n12. The person whose mother's name is Kailyn is somewhere to the left of The person whose mother's name is Aniya.\n13. The person who owns a dog is in the fifth house.\n14. The person whose mother's name is Kailyn is directly left of the person who has black hair.\n15. Bob is somewhere to the left of the person with an aquarium of fish.\n16. The person who keeps a pet bird is directly left of Arnold.\n\n\nChoices:\n0. Janelle\n1. Kailyn\n2. Penny\n3. Holly\n4. Aniya\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique favorite drink: `water`, `tea`\n\n## Clues:\n1. The tea drinker is Eric.\n2. The tea drinker is not in the second house.\n\n\nChoices:\n0. water\n1. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n\n## Clues:\n1. The person residing in a Victorian house is somewhere to the left of the person living in a colonial-style house.\n2. Eric is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Bob`, `Alice`\n - The people are of nationalities: `german`, `swede`, `brit`, `dane`, `norwegian`\n\n## Clues:\n1. The British person is in the fifth house.\n2. The Swedish person is somewhere to the left of Eric.\n3. Alice is somewhere to the left of Bob.\n4. Eric is somewhere to the left of the Norwegian.\n5. Arnold is the Swedish person.\n6. The Dane is in the first house.\n7. Peter is in the fifth house.\n\n\nChoices:\n0. swede\n1. brit\n2. german\n3. dane\n4. norwegian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - People have unique heights: `short`, `very short`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - Each person has a unique favorite drink: `tea`, `water`\n\n## Clues:\n1. The person who is very short is the person who is a pizza lover.\n2. The person who loves eating grilled cheese is in the second house.\n3. The person with a high school diploma is the person who is a pizza lover.\n4. The tea drinker is the person who loves eating grilled cheese.\n5. Arnold is the person who is a pizza lover.\n\n\nChoices:\n0. high school\n1. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - People use unique phone models: `iphone 13`, `google pixel 6`, `samsung galaxy s21`\n - Each person lives in a unique style of house: `ranch`, `victorian`, `colonial`\n\n## Clues:\n1. The person residing in a Victorian house is directly left of Eric.\n2. Peter is the person who uses a Google Pixel 6.\n3. The person who uses an iPhone 13 is somewhere to the right of the person who uses a Google Pixel 6.\n4. Eric is the person living in a colonial-style house.\n5. The person who uses a Google Pixel 6 is in the second house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`\n\n## Clues:\n1. Peter is in the fourth house.\n2. The person who uses a OnePlus 9 is in the second house.\n3. The person who uses a Huawei P50 and the person who uses a OnePlus 9 are next to each other.\n4. There is one house between Alice and Eric.\n5. Eric is in the third house.\n6. Arnold is somewhere to the left of the person who uses a Samsung Galaxy S21.\n7. Alice is somewhere to the left of the person who uses a Google Pixel 6.\n8. There is one house between Alice and the person who uses a Google Pixel 6.\n9. The person who uses a Samsung Galaxy S21 is not in the fourth house.\n\n\nChoices:\n0. samsung galaxy s21\n1. iphone 13\n2. google pixel 6\n3. huawei p50\n4. oneplus 9\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person whose birthday is in April is the person's child is named Bella.\n2. The person with an associate's degree is directly left of the person with a high school diploma.\n3. The person with an associate's degree and the person's child is named Fred are next to each other.\n4. Eric is the person with a high school diploma.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`\n - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`\n\n## Clues:\n1. The person who loves rock music is in the third house.\n2. Peter is not in the second house.\n3. The person who is a pizza lover is not in the first house.\n4. The person who loves the spaghetti eater is in the fourth house.\n5. Arnold is in the third house.\n6. Eric is in the fourth house.\n7. Peter is the person who loves pop music.\n8. The person who loves classical music is the person who loves the stew.\n\n\nChoices:\n0. classical\n1. rock\n2. jazz\n3. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`\n - Each person has a unique birthday month: `april`, `feb`, `sept`, `jan`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`, `craftsman`\n\n## Clues:\n1. Peter is the person whose birthday is in February.\n2. The person whose birthday is in February is not in the fourth house.\n3. The person whose birthday is in January is somewhere to the right of the person in a ranch-style home.\n4. The person whose birthday is in January is directly left of Eric.\n5. The person in a ranch-style home is the person whose birthday is in April.\n6. The person whose mother's name is Janelle is the person whose birthday is in September.\n7. The person in a ranch-style home and The person whose mother's name is Kailyn are next to each other.\n8. Arnold is The person whose mother's name is Holly.\n9. The person whose mother's name is Kailyn is directly left of the person residing in a Victorian house.\n10. The person whose birthday is in January is the person in a Craftsman-style house.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The British person is directly left of Eric.\n2. The person whose birthday is in September is directly left of Arnold.\n3. The person's child is named Fred is in the second house.\n4. The person's child is named Bella is Arnold.\n5. The Swedish person is the person whose birthday is in January.\n\n\nChoices:\n0. Meredith\n1. Bella\n2. Fred\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person who prefers city breaks is in the third house.\n2. The person who loves beach vacations is the person who owns a dog.\n3. The person with an aquarium of fish is directly left of the person who loves tennis.\n4. Arnold is the person who owns a dog.\n5. The person who enjoys mountain retreats and Eric are next to each other.\n6. The person who loves soccer is Arnold.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`, `Bob`\n - Each person lives in a unique style of house: `craftsman`, `modern`, `victorian`, `ranch`, `colonial`\n - Each person has a unique type of pet: `cat`, `bird`, `dog`, `hamster`, `fish`\n - Each person has a unique favorite drink: `coffee`, `milk`, `tea`, `water`, `root beer`\n\n## Clues:\n1. The person who has a cat is in the third house.\n2. The person with an aquarium of fish is Arnold.\n3. The root beer lover is in the fourth house.\n4. There is one house between the person in a Craftsman-style house and the person residing in a Victorian house.\n5. The person who has a cat is Bob.\n6. Peter is the person with a pet hamster.\n7. The person in a modern-style house is the person who has a cat.\n8. The coffee drinker is not in the fifth house.\n9. The one who only drinks water is the person who owns a dog.\n10. The person living in a colonial-style house and the person with an aquarium of fish are next to each other.\n11. The person with an aquarium of fish is the person in a Craftsman-style house.\n12. The tea drinker is in the third house.\n13. The person residing in a Victorian house is somewhere to the right of Alice.\n14. The person in a ranch-style home is somewhere to the right of Eric.\n\n\nChoices:\n0. milk\n1. coffee\n2. root beer\n3. tea\n4. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique type of pet: `dog`, `cat`, `fish`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`\n - People have unique favorite music genres: `pop`, `classical`, `rock`\n\n## Clues:\n1. The person who loves cooking is the person who loves pop music.\n2. The person who loves pop music is not in the first house.\n3. The photography enthusiast is Peter.\n4. The person who loves rock music is in the second house.\n5. The person who enjoys gardening is directly left of the person with an aquarium of fish.\n6. Eric is the person who has a cat.\n7. The person who has a cat is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People own unique car models: `toyota camry`, `tesla model 3`, `ford f150`\n - People have unique hair colors: `black`, `blonde`, `brown`\n - Everyone has a favorite smoothie: `watermelon`, `desert`, `cherry`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who has blonde hair.\n2. The person who owns a Tesla Model 3 is Eric.\n3. The person who likes Cherry smoothies is Eric.\n4. Eric and the Desert smoothie lover are next to each other.\n5. The person who has black hair is somewhere to the right of the person who likes Cherry smoothies.\n6. The Desert smoothie lover is Arnold.\n7. The person who owns a Ford F-150 is somewhere to the right of Peter.\n\n\nChoices:\n0. black\n1. blonde\n2. brown\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `associate`, `high school`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n\n## Clues:\n1. There is one house between Peter and the person with a bachelor's degree.\n2. The photography enthusiast is Arnold.\n3. The person with a high school diploma is the person who enjoys gardening.\n4. Peter is the one who only drinks water.\n5. Peter is directly left of the person who likes milk.\n6. The tea drinker is the person who loves cooking.\n\n\nChoices:\n0. bachelor\n1. associate\n2. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - They all have a unique favorite flower: `lilies`, `carnations`, `roses`, `daffodils`\n - Each person has an occupation: `teacher`, `engineer`, `artist`, `doctor`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `watermelon`, `cherry`\n\n## Clues:\n1. The Dragonfruit smoothie lover is in the first house.\n2. The person who is a doctor is somewhere to the right of Eric.\n3. Eric is the person who likes Cherry smoothies.\n4. Peter is directly left of the person who is an artist.\n5. The Desert smoothie lover is the person who loves a carnations arrangement.\n6. The person who is a teacher is directly left of the Desert smoothie lover.\n7. The person who loves the boquet of lilies is directly left of the person who likes Cherry smoothies.\n8. The person who is a teacher is the person who loves the rose bouquet.\n9. The person who is an engineer is Alice.\n\n\nChoices:\n0. dragonfruit\n1. watermelon\n2. cherry\n3. desert\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `tennis`, `swimming`, `basketball`, `soccer`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `craftsman`, `ranch`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `desert`, `dragonfruit`\n - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`\n\n## Clues:\n1. Alice and the person in a Craftsman-style house are next to each other.\n2. The Desert smoothie lover is in the first house.\n3. The Dragonfruit smoothie lover is Eric.\n4. The person in a ranch-style home is somewhere to the right of the person living in a colonial-style house.\n5. The person who is a doctor is not in the second house.\n6. Peter is the person who likes Cherry smoothies.\n7. The person who is an artist is the Dragonfruit smoothie lover.\n8. Alice is in the third house.\n9. The person who is an engineer is somewhere to the right of the person who loves swimming.\n10. The person who loves basketball is the person who is an artist.\n11. The Dragonfruit smoothie lover is not in the second house.\n12. The person residing in a Victorian house is directly left of the person who loves soccer.\n13. The person who loves tennis is somewhere to the left of the person who loves swimming.\n\n\nChoices:\n0. cherry\n1. desert\n2. dragonfruit\n3. watermelon\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`\n - Each person has a unique level of education: `associate`, `bachelor`, `high school`, `master`, `doctorate`\n - People have unique favorite sports: `swimming`, `basketball`, `tennis`, `baseball`, `soccer`\n - Each person prefers a unique type of vacation: `camping`, `cruise`, `city`, `mountain`, `beach`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`\n\n## Clues:\n1. The person who uses a Huawei P50 is not in the second house.\n2. The person with a master's degree is the person who uses a Google Pixel 6.\n3. The person who loves swimming is the person with a high school diploma.\n4. The person with a bachelor's degree is directly left of the person who loves tennis.\n5. The person who enjoys camping trips is the person who loves tennis.\n6. Bob is the person who uses a Samsung Galaxy S21.\n7. The person with a high school diploma is not in the third house.\n8. The person who loves swimming is directly left of the person who loves beach vacations.\n9. The person who likes going on cruises is Arnold.\n10. Bob is the person with an associate's degree.\n11. The person who uses a OnePlus 9 is directly left of the person who loves basketball.\n12. The person who enjoys camping trips and the person who prefers city breaks are next to each other.\n13. Eric is the person who loves swimming.\n14. The person who loves basketball is the person who enjoys mountain retreats.\n15. The person who loves tennis is somewhere to the left of Alice.\n16. Arnold is the person who loves soccer.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Bob\n3. Alice\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Everyone has a favorite smoothie: `cherry`, `desert`\n\n## Clues:\n1. The person's child is named Fred is directly left of Arnold.\n2. The person who loves mystery books is not in the second house.\n3. The person with a high school diploma is the person's child is named Bella.\n4. Eric and the Desert smoothie lover are next to each other.\n\n\nChoices:\n0. mystery\n1. science fiction\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite sports: `basketball`, `soccer`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. The person who loves soccer is somewhere to the left of the person who loves basketball.\n2. Arnold is the person who owns a Tesla Model 3.\n3. Arnold is not in the first house.\n\n\nChoices:\n0. ford f150\n1. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `high school`, `associate`\n - Each person has a unique favorite drink: `tea`, `water`\n\n## Clues:\n1. The tea drinker is not in the first house.\n2. Eric is the person with a high school diploma.\n3. Eric is not in the second house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n\n## Clues:\n1. The person who loves a carnations arrangement and Eric are next to each other.\n2. The person who loves a carnations arrangement is in the first house.\n3. The person who loves eating grilled cheese is in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`\n - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`\n\n## Clues:\n1. Eric is directly left of the person who loves the spaghetti eater.\n2. The person who loves science fiction books is in the third house.\n3. The person who loves mystery books is somewhere to the right of Eric.\n4. There is one house between the person who is a pizza lover and Peter.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n2. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n - Each person has a unique hobby: `photography`, `cooking`, `gardening`\n\n## Clues:\n1. There is one house between Arnold and Eric.\n2. Peter is directly left of the person who loves cooking.\n3. Peter is the person with an aquarium of fish.\n4. The person who owns a dog is the person who likes milk.\n5. Arnold is the person who enjoys gardening.\n6. The tea drinker is in the third house.\n\n\nChoices:\n0. dog\n1. fish\n2. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Bob`, `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `tennis`, `baseball`, `soccer`, `basketball`, `swimming`\n\n## Clues:\n1. The person who loves tennis is not in the fifth house.\n2. The person who loves swimming and Alice are next to each other.\n3. The person who loves swimming is directly left of the person who loves tennis.\n4. Eric is the person who loves soccer.\n5. Eric is in the first house.\n6. Arnold is in the second house.\n7. Peter is the person who loves baseball.\n8. Alice is not in the third house.\n\n\nChoices:\n0. tennis\n1. baseball\n2. basketball\n3. swimming\n4. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Eric`, `Alice`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`, `tulips`\n - Each person has an occupation: `artist`, `doctor`, `lawyer`, `teacher`, `engineer`\n - Everyone has a favorite smoothie: `lime`, `watermelon`, `cherry`, `dragonfruit`, `desert`\n - People own unique car models: `honda civic`, `ford f150`, `bmw 3 series`, `toyota camry`, `tesla model 3`\n\n## Clues:\n1. Arnold is the person who is an artist.\n2. The person who is a doctor is the person who loves the rose bouquet.\n3. Bob is the person who loves a carnations arrangement.\n4. The person who owns a BMW 3 Series is Arnold.\n5. The person who loves the boquet of lilies is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is somewhere to the left of the person who drinks Lime smoothies.\n7. The person who is a lawyer is the person who owns a Toyota Camry.\n8. The person who loves the boquet of lilies is Arnold.\n9. There are two houses between Bob and the person who owns a Honda Civic.\n10. The person who owns a Tesla Model 3 is in the third house.\n11. Peter is directly left of the person who loves the boquet of lilies.\n12. The Desert smoothie lover is the person who is a teacher.\n13. The person who is an artist and the Dragonfruit smoothie lover are next to each other.\n14. The person who is a doctor is the Watermelon smoothie lover.\n15. The person who loves the vase of tulips is directly left of the person who owns a Toyota Camry.\n\n\nChoices:\n0. watermelon\n1. lime\n2. dragonfruit\n3. desert\n4. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Peter`, `Eric`\n - People have unique favorite sports: `baseball`, `swimming`, `tennis`, `soccer`, `basketball`\n - People have unique heights: `tall`, `short`, `average`, `very tall`, `very short`\n - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`, `cruise`, `camping`\n - Each person lives in a unique style of house: `modern`, `victorian`, `craftsman`, `colonial`, `ranch`\n\n## Clues:\n1. Arnold is the person who has an average height.\n2. Arnold is not in the first house.\n3. The person who loves soccer is the person who likes going on cruises.\n4. The person who is very tall is the person who loves basketball.\n5. The person who is very short is in the third house.\n6. The person in a modern-style house is somewhere to the right of the person who loves soccer.\n7. The person who enjoys camping trips is in the fourth house.\n8. The person who is short is not in the fourth house.\n9. The person living in a colonial-style house is the person who prefers city breaks.\n10. The person who loves tennis is directly left of Eric.\n11. Alice and the person in a ranch-style home are next to each other.\n12. The person in a modern-style house is somewhere to the left of the person in a ranch-style home.\n13. The person who enjoys mountain retreats and the person in a Craftsman-style house are next to each other.\n14. The person in a Craftsman-style house is somewhere to the left of Peter.\n15. The person who loves basketball is the person living in a colonial-style house.\n16. The person who loves swimming is the person who enjoys mountain retreats.\n17. The person in a Craftsman-style house is the person who loves tennis.\n18. Eric is not in the third house.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Bob\n3. Eric\n4. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n\n## Clues:\n1. Arnold is the Prince smoker.\n2. Eric is not in the first house.\n\n\nChoices:\n0. prince\n1. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Bob`, `Alice`\n - They all have a unique favorite flower: `tulips`, `lilies`, `carnations`, `roses`, `daffodils`\n - Each person has a favorite color: `yellow`, `green`, `blue`, `white`, `red`\n\n## Clues:\n1. Alice is in the fifth house.\n2. Arnold is the person who loves white.\n3. Bob is not in the fourth house.\n4. The person who loves blue is Bob.\n5. The person whose favorite color is red is not in the third house.\n6. The person who loves a bouquet of daffodils and Eric are next to each other.\n7. The person whose favorite color is green is Alice.\n8. Peter is directly left of the person who loves a carnations arrangement.\n9. The person who loves white is the person who loves the vase of tulips.\n10. The person who loves the rose bouquet is Alice.\n11. The person who loves the vase of tulips and Peter are next to each other.\n\n\nChoices:\n0. roses\n1. carnations\n2. lilies\n3. tulips\n4. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each mother is accompanied by their child: `Meredith`, `Fred`, `Bella`\n - Everyone has a favorite smoothie: `watermelon`, `cherry`, `desert`\n - Each person prefers a unique type of vacation: `mountain`, `city`, `beach`\n - Each person has a favorite color: `white`, `red`, `yellow`\n\n## Clues:\n1. There is one house between the person's child is named Bella and the person's child is named Meredith.\n2. The person who likes Cherry smoothies is the person who loves beach vacations.\n3. The person who prefers city breaks is Arnold.\n4. The person whose favorite color is red is the person's child is named Fred.\n5. The person's child is named Fred is the Watermelon smoothie lover.\n6. Eric is not in the first house.\n7. The person's child is named Meredith is the person who loves white.\n8. The person who loves white is the Desert smoothie lover.\n9. The Desert smoothie lover is Eric.\n\n\nChoices:\n0. Arnold\n1. Peter\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Bob`, `Alice`, `Peter`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`, `knitting`, `painting`\n\n## Clues:\n1. The photography enthusiast is not in the fourth house.\n2. Arnold is directly left of the person who enjoys gardening.\n3. The person who paints as a hobby and Arnold are next to each other.\n4. Peter is somewhere to the right of Eric.\n5. There are two houses between Alice and Peter.\n6. Peter is directly left of the person who enjoys knitting.\n7. The person who loves cooking is Arnold.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n3. Bob\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person who uses an iPhone 13 is Peter.\n2. The tea drinker is somewhere to the right of Eric.\n3. The person whose birthday is in April is not in the third house.\n4. The person whose birthday is in January is directly left of the person who likes milk.\n5. The person who uses a Samsung Galaxy S21 and the person who uses an iPhone 13 are next to each other.\n6. The person whose birthday is in September is Peter.\n7. Eric is directly left of the person who uses an iPhone 13.\n\n\nChoices:\n0. milk\n1. water\n2. tea\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - Each person has a unique type of pet: `cat`, `dog`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. The person who enjoys gardening is in the second house.\n2. The photography enthusiast is the person who is an engineer.\n3. The person who is a doctor is Eric.\n4. The person who has a cat is in the first house.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n\n## Clues:\n1. The Watermelon smoothie lover is the person who loves the boquet of lilies.\n2. Arnold is not in the third house.\n3. The person with a bachelor's degree is not in the second house.\n4. Peter is the person who loves the boquet of lilies.\n5. The person who loves a bouquet of daffodils is the person with an aquarium of fish.\n6. Eric is the person with an associate's degree.\n7. Eric is not in the third house.\n8. The person who likes Cherry smoothies is not in the first house.\n9. The person with a bachelor's degree is not in the third house.\n10. Eric is the person who owns a dog.\n\n\nChoices:\n0. cat\n1. dog\n2. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite sports: `basketball`, `soccer`\n - People own unique car models: `tesla model 3`, `ford f150`\n\n## Clues:\n1. The person who owns a Ford F-150 is directly left of the person who owns a Tesla Model 3.\n2. Eric is the person who owns a Ford F-150.\n3. The person who owns a Tesla Model 3 is the person who loves basketball.\n\n\nChoices:\n0. basketball\n1. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `watermelon`\n\n## Clues:\n1. The Desert smoothie lover is the person who enjoys gardening.\n2. The photography enthusiast is the Swedish person.\n3. Peter is somewhere to the left of the Desert smoothie lover.\n4. The person who is a pizza lover is in the third house.\n5. The person who enjoys gardening is the Dane.\n6. There is one house between the person who loves eating grilled cheese and Arnold.\n7. Arnold is the Swedish person.\n8. The Watermelon smoothie lover is somewhere to the left of the person who likes Cherry smoothies.\n\n\nChoices:\n0. photography\n1. gardening\n2. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`, `Bob`\n - The people are of nationalities: `german`, `norwegian`, `brit`, `dane`, `swede`\n - People have unique favorite sports: `swimming`, `soccer`, `baseball`, `basketball`, `tennis`\n - People have unique hair colors: `blonde`, `brown`, `red`, `black`, `gray`\n\n## Clues:\n1. Arnold is the person who loves baseball.\n2. The Swedish person is somewhere to the left of Arnold.\n3. There are two houses between the person who loves basketball and the person who has black hair.\n4. The Norwegian is in the fourth house.\n5. Peter is the person who has black hair.\n6. The person who has red hair is in the second house.\n7. Bob is the German.\n8. The person who has blonde hair is not in the third house.\n9. The person who loves swimming is the person who has red hair.\n10. The German is not in the first house.\n11. The person who loves basketball is directly left of the Dane.\n12. The person who loves soccer is directly left of Arnold.\n13. Alice is the person who has gray hair.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Alice\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Bob`, `Peter`\n - People have unique hair colors: `gray`, `blonde`, `red`, `brown`, `black`\n - Each person has an occupation: `engineer`, `artist`, `lawyer`, `teacher`, `doctor`\n\n## Clues:\n1. The person who has black hair is the person who is a teacher.\n2. The person who is a doctor is somewhere to the right of the person who is an artist.\n3. There is one house between Eric and Alice.\n4. Eric is somewhere to the left of Alice.\n5. The person who has brown hair and Alice are next to each other.\n6. Alice is the person who has red hair.\n7. There are two houses between the person who has brown hair and the person who has blonde hair.\n8. Alice is the person who is an engineer.\n9. Arnold is the person who has blonde hair.\n10. The person who is a doctor is Peter.\n11. The person who has brown hair is somewhere to the left of the person who is a teacher.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`, `Bob`\n - Each person has a favorite color: `red`, `green`, `white`, `blue`, `yellow`\n - Each mother is accompanied by their child: `Bella`, `Timothy`, `Samantha`, `Meredith`, `Fred`\n - They all have a unique favorite flower: `tulips`, `daffodils`, `carnations`, `lilies`, `roses`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Eric is the person who is the mother of Timothy.\n3. Alice and Bob are next to each other.\n4. The person who loves blue is not in the fourth house.\n5. The person's child is named Samantha is the person who loves the vase of tulips.\n6. The person who loves the vase of tulips is Alice.\n7. The person's child is named Fred is the person whose favorite color is red.\n8. The person's child is named Bella is in the first house.\n9. There is one house between the person who loves blue and the person who loves yellow.\n10. The person who loves yellow is the person who loves the rose bouquet.\n11. The person's child is named Meredith is somewhere to the left of Bob.\n12. The person who loves white is not in the second house.\n13. The person who loves a carnations arrangement is not in the second house.\n14. The person who loves white is Arnold.\n15. The person who loves the boquet of lilies is in the first house.\n\n\nChoices:\n0. green\n1. white\n2. blue\n3. yellow\n4. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a favorite color: `red`, `yellow`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. Arnold is the person who loves eating grilled cheese.\n2. The person who loves a carnations arrangement is directly left of the person who is a pizza lover.\n3. The person whose favorite color is red is the person who is a pizza lover.\n\n\nChoices:\n0. red\n1. yellow\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - The people are of nationalities: `brit`, `swede`, `dane`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`\n\n## Clues:\n1. The person who is a pizza lover is Eric.\n2. The person with a bachelor's degree is directly left of the Swedish person.\n3. The person who is a pizza lover is in the first house.\n4. The person with a bachelor's degree is the person who loves eating grilled cheese.\n5. The person living in a colonial-style house and the person who loves eating grilled cheese are next to each other.\n6. Arnold is the person who loves eating grilled cheese.\n7. The British person is the person with a high school diploma.\n8. The person with a bachelor's degree is directly left of the person residing in a Victorian house.\n\n\nChoices:\n0. pizza\n1. grilled cheese\n2. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique favorite book genres: `mystery`, `fantasy`, `romance`, `science fiction`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - They all have a unique favorite flower: `roses`, `daffodils`, `carnations`, `lilies`\n - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`\n\n## Clues:\n1. Alice is the person who loves jazz music.\n2. Eric is the person who loves romance books.\n3. The person who loves a carnations arrangement is in the first house.\n4. The person who loves a bouquet of daffodils is the person who loves science fiction books.\n5. The person who enjoys mountain retreats is in the third house.\n6. The person who enjoys mountain retreats is the person who loves mystery books.\n7. The person who loves science fiction books is Peter.\n8. The person who prefers city breaks is in the second house.\n9. The person who prefers city breaks and the person who loves classical music are next to each other.\n10. The person who loves beach vacations is not in the first house.\n11. The person who loves romance books is the person who loves pop music.\n12. The person who loves romance books is somewhere to the left of Alice.\n13. The person who loves the boquet of lilies is the person who loves mystery books.\n14. Peter is somewhere to the left of Alice.\n\n\nChoices:\n0. Alice\n1. Peter\n2. Arnold\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is not in the first house.\n2. The person who is a pizza lover is the person who loves a bouquet of daffodils.\n3. The person who loves a bouquet of daffodils is Eric.\n4. The person with a high school diploma is the person who loves a bouquet of daffodils.\n5. The person who loves pop music is the person who loves a bouquet of daffodils.\n\n\nChoices:\n0. high school\n1. associate\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`, `Bob`\n - Each person has a unique birthday month: `sept`, `mar`, `april`, `feb`, `jan`\n - The people keep unique animals: `horse`, `bird`, `dog`, `fish`, `cat`\n\n## Clues:\n1. The person whose birthday is in September is Peter.\n2. The dog owner is in the first house.\n3. Bob is not in the second house.\n4. The bird keeper is not in the second house.\n5. The bird keeper is not in the fourth house.\n6. The person whose birthday is in March is not in the second house.\n7. Bob and the person whose birthday is in January are next to each other.\n8. The person who keeps horses is the person whose birthday is in February.\n9. Eric is in the first house.\n10. The person whose birthday is in March and the person whose birthday is in April are next to each other.\n11. The bird keeper is not in the third house.\n12. The cat lover is not in the second house.\n13. Arnold is in the fourth house.\n\n\nChoices:\n0. cat\n1. dog\n2. fish\n3. horse\n4. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Bob`, `Alice`\n - Each person has an occupation: `engineer`, `doctor`, `artist`, `lawyer`, `teacher`\n - Each person prefers a unique type of vacation: `cruise`, `beach`, `city`, `camping`, `mountain`\n\n## Clues:\n1. The person who prefers city breaks is somewhere to the left of the person who is an engineer.\n2. There are two houses between the person who likes going on cruises and the person who enjoys camping trips.\n3. Bob is in the fourth house.\n4. The person who is a doctor is not in the fifth house.\n5. The person who likes going on cruises is in the first house.\n6. There are two houses between the person who is a doctor and the person who is a lawyer.\n7. The person who is a lawyer and Arnold are next to each other.\n8. There is one house between Peter and the person who is a teacher.\n9. The person who enjoys mountain retreats is somewhere to the left of the person who loves beach vacations.\n10. Alice is somewhere to the left of the person who is a teacher.\n11. There is one house between the person who prefers city breaks and Arnold.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Bob\n3. Arnold\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People own unique car models: `tesla model 3`, `ford f150`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n\n## Clues:\n1. Arnold is somewhere to the left of Eric.\n2. The person's child is named Fred is somewhere to the right of the person who owns a Tesla Model 3.\n\n\nChoices:\n0. tesla model 3\n1. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n - Each person has an occupation: `doctor`, `engineer`\n\n## Clues:\n1. Arnold is directly left of the person who is an engineer.\n2. The person partial to Pall Mall is directly left of the person living in a colonial-style house.\n\n\nChoices:\n0. victorian\n1. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Bob`, `Peter`, `Arnold`\n - Each person has a unique birthday month: `mar`, `april`, `sept`, `feb`, `jan`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Penny`, `Aniya`\n - Each person has an occupation: `engineer`, `doctor`, `lawyer`, `artist`, `teacher`\n - People have unique hair colors: `red`, `blonde`, `black`, `gray`, `brown`\n\n## Clues:\n1. The person whose birthday is in March is in the fifth house.\n2. The person whose birthday is in February is in the first house.\n3. The person who is a doctor is Eric.\n4. The person whose mother's name is Janelle is in the third house.\n5. The person who is an artist is the person who has brown hair.\n6. The person who is an artist is in the fourth house.\n7. The person whose mother's name is Penny is somewhere to the left of the person who has black hair.\n8. Peter is the person who has black hair.\n9. The person who has gray hair is the person who is a teacher.\n10. Alice is The person whose mother's name is Kailyn.\n11. Arnold is somewhere to the right of the person whose birthday is in September.\n12. The person who has brown hair is the person whose birthday is in January.\n13. Arnold is the person who has blonde hair.\n14. The person whose mother's name is Holly is the person who has black hair.\n15. Peter is the person who is a lawyer.\n16. The person whose birthday is in September is somewhere to the left of The person whose mother's name is Kailyn.\n17. Alice is the person who has gray hair.\n\n\nChoices:\n0. Aniya\n1. Penny\n2. Janelle\n3. Kailyn\n4. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`\n - People have unique heights: `very short`, `short`, `tall`, `average`\n - Each person prefers a unique type of vacation: `cruise`, `beach`, `city`, `mountain`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`, `Samantha`\n\n## Clues:\n1. The person who loves beach vacations is the person who is very short.\n2. The person who is very short is the person who loves white.\n3. The person who has an average height is the person's child is named Bella.\n4. The person who has an average height is the person whose favorite color is red.\n5. Peter is the person's child is named Samantha.\n6. The person whose favorite color is green is directly left of the person who loves white.\n7. Alice is in the third house.\n8. The person who likes going on cruises is the person's child is named Bella.\n9. The person who is short is the person who loves yellow.\n10. The person who is very short is the person's child is named Fred.\n11. Eric is the person who loves yellow.\n12. The person who prefers city breaks is Eric.\n13. The person who is short is somewhere to the left of the person who is tall.\n\n\nChoices:\n0. Fred\n1. Bella\n2. Samantha\n3. Meredith\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Bob`, `Eric`\n - The people are of nationalities: `swede`, `norwegian`, `brit`, `german`, `dane`\n - Everyone has something unique for lunch: `stew`, `grilled cheese`, `stir fry`, `pizza`, `spaghetti`\n - Everyone has a favorite smoothie: `desert`, `lime`, `watermelon`, `cherry`, `dragonfruit`\n\n## Clues:\n1. Alice is the person who likes Cherry smoothies.\n2. The person who drinks Lime smoothies is the person who loves eating grilled cheese.\n3. The Dragonfruit smoothie lover is somewhere to the right of the person who loves the stew.\n4. The German is Bob.\n5. The person who loves stir fry is somewhere to the right of Eric.\n6. Arnold is directly left of the Dane.\n7. The person who loves the spaghetti eater is the Norwegian.\n8. Bob is somewhere to the left of the person who drinks Lime smoothies.\n9. The Desert smoothie lover is the person who is a pizza lover.\n10. The German is somewhere to the right of the Norwegian.\n11. The Swedish person is the person who is a pizza lover.\n12. There is one house between the person who loves eating grilled cheese and Peter.\n\n\nChoices:\n0. watermelon\n1. desert\n2. dragonfruit\n3. lime\n4. cherry\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person lives in a unique style of house: `victorian`, `colonial`\n - People have unique heights: `very short`, `short`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person who is short is directly left of Eric.\n2. The person residing in a Victorian house is in the first house.\n3. The person who is short is the person with an associate's degree.\n\n\nChoices:\n0. colonial\n1. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`\n - Each person has a unique hobby: `photography`, `gardening`, `cooking`, `painting`\n\n## Clues:\n1. The person who paints as a hobby is in the fourth house.\n2. The person who loves cooking is somewhere to the right of the person who enjoys gardening.\n3. Peter is in the second house.\n4. The person who loves cooking is somewhere to the left of Alice.\n5. There is one house between Peter and Eric.\n\n\nChoices:\n0. cooking\n1. gardening\n2. photography\n3. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`\n - People have unique favorite book genres: `mystery`, `romance`, `science fiction`, `fantasy`\n\n## Clues:\n1. There is one house between the person partial to Pall Mall and the person who loves mystery books.\n2. There is one house between Eric and the person who loves mystery books.\n3. The person who loves romance books is the Dunhill smoker.\n4. Peter is not in the fourth house.\n5. The person who loves science fiction books is Eric.\n6. The person who loves fantasy books is not in the fourth house.\n7. The Prince smoker and the Dunhill smoker are next to each other.\n8. Arnold is the person who loves mystery books.\n9. The Prince smoker is not in the fourth house.\n10. The person who loves science fiction books is somewhere to the left of Arnold.\n\n\nChoices:\n0. prince\n1. dunhill\n2. blue master\n3. pall mall\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`\n\n## Clues:\n1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is not in the first house.\n3. The person with a master's degree is Alice.\n4. The person with a master's degree is directly left of the person who loves classical music.\n5. Eric is not in the second house.\n6. Arnold is not in the third house.\n7. The person who loves yellow is directly left of the person who loves the rose bouquet.\n8. The person who loves pop music is in the second house.\n9. The person with an associate's degree is not in the fourth house.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. The person whose favorite color is red is directly left of the person who loves white.\n12. The person whose favorite color is red is the person who loves rock music.\n13. Arnold is the person who loves yellow.\n14. The person who loves a bouquet of daffodils is the person who loves yellow.\n\n\nChoices:\n0. green\n1. white\n2. yellow\n3. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - The people keep unique animals: `bird`, `horse`, `cat`\n - Each person prefers a unique type of vacation: `mountain`, `city`, `beach`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n\n## Clues:\n1. The person with a high school diploma is the bird keeper.\n2. Eric is the person with a high school diploma.\n3. The person who keeps horses is in the third house.\n4. The person with a bachelor's degree is the person who likes Cherry smoothies.\n5. Eric is not in the first house.\n6. The person who prefers city breaks is Peter.\n7. The person who likes Cherry smoothies is not in the first house.\n8. Peter is not in the third house.\n9. The person who loves beach vacations is the Watermelon smoothie lover.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Arnold`, `Peter`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Penny`, `Kailyn`, `Holly`\n - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`, `hip hop`\n - Everyone has something unique for lunch: `grilled cheese`, `stir fry`, `stew`, `spaghetti`, `pizza`\n\n## Clues:\n1. Eric is somewhere to the left of the person who loves classical music.\n2. The person who loves eating grilled cheese is directly left of The person whose mother's name is Janelle.\n3. The person whose mother's name is Penny is directly left of Alice.\n4. The person who loves stir fry is Peter.\n5. The person who loves the spaghetti eater is Alice.\n6. Eric is somewhere to the left of the person who loves rock music.\n7. The person whose mother's name is Kailyn is directly left of The person whose mother's name is Aniya.\n8. The person who loves rock music is not in the third house.\n9. The person who loves eating grilled cheese is directly left of the person who loves the stew.\n10. The person who loves pop music is The person whose mother's name is Kailyn.\n11. The person who loves the spaghetti eater is the person who loves jazz music.\n12. The person who loves pop music is Arnold.\n\n\nChoices:\n0. pop\n1. classical\n2. rock\n3. jazz\n4. hip hop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`\n - Each person has a unique birthday month: `april`, `jan`, `sept`\n\n## Clues:\n1. The person who uses an iPhone 13 is Peter.\n2. The tea drinker is somewhere to the right of Eric.\n3. The person whose birthday is in April is not in the third house.\n4. The person whose birthday is in January is directly left of the person who likes milk.\n5. The person who uses a Samsung Galaxy S21 and the person who uses an iPhone 13 are next to each other.\n6. The person whose birthday is in September is Peter.\n7. Eric is directly left of the person who uses an iPhone 13.\n\n\nChoices:\n0. iphone 13\n1. samsung galaxy s21\n2. google pixel 6\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`, `Bob`\n - Each person has a unique hobby: `painting`, `cooking`, `knitting`, `gardening`, `photography`\n - People have unique heights: `very tall`, `tall`, `very short`, `average`, `short`\n - Everyone has something unique for lunch: `stew`, `grilled cheese`, `stir fry`, `spaghetti`, `pizza`\n\n## Clues:\n1. Bob is the photography enthusiast.\n2. The person who loves eating grilled cheese is the person who is tall.\n3. Peter is not in the second house.\n4. The person who is tall is directly left of the person who loves stir fry.\n5. The person who loves cooking is the person who has an average height.\n6. Alice is directly left of the person who is a pizza lover.\n7. The person who loves the spaghetti eater is not in the second house.\n8. Eric is not in the fifth house.\n9. The person who is short is Peter.\n10. The person who has an average height and the person who enjoys gardening are next to each other.\n11. The person who paints as a hobby is directly left of the person who loves eating grilled cheese.\n12. The person who is very short is in the fifth house.\n13. The person who is tall is in the third house.\n14. Alice is somewhere to the right of the photography enthusiast.\n\n\nChoices:\n0. spaghetti\n1. stir fry\n2. stew\n3. grilled cheese\n4. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Bob`, `Eric`\n - Each person has a favorite color: `white`, `blue`, `yellow`, `red`, `green`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `pall mall`, `blends`\n - People have unique favorite book genres: `biography`, `mystery`, `romance`, `fantasy`, `science fiction`\n\n## Clues:\n1. There are two houses between the Prince smoker and the person who loves yellow.\n2. The person who loves white is Bob.\n3. The person who smokes Blue Master is directly left of Bob.\n4. Alice is somewhere to the left of the person who loves science fiction books.\n5. The person who loves biography books is not in the first house.\n6. Arnold is somewhere to the left of the person who smokes Blue Master.\n7. The person who loves mystery books and the person who loves biography books are next to each other.\n8. The person who loves fantasy books is Bob.\n9. The person whose favorite color is green is the person who smokes Blue Master.\n10. The person partial to Pall Mall is in the fourth house.\n11. The person who loves science fiction books is the Dunhill smoker.\n12. The person whose favorite color is red is not in the fifth house.\n13. Peter is directly left of the Dunhill smoker.\n\n\nChoices:\n0. prince\n1. pall mall\n2. blends\n3. dunhill\n4. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Bob`, `Peter`\n - Each person has a unique favorite drink: `root beer`, `water`, `coffee`, `tea`, `milk`\n - Each person has a unique birthday month: `jan`, `april`, `sept`, `feb`, `mar`\n - Each person has an occupation: `teacher`, `lawyer`, `engineer`, `doctor`, `artist`\n - Each person prefers a unique type of vacation: `city`, `cruise`, `mountain`, `beach`, `camping`\n\n## Clues:\n1. The root beer lover is Bob.\n2. The person who is an engineer is Bob.\n3. The coffee drinker is not in the first house.\n4. Peter is not in the second house.\n5. The one who only drinks water is not in the fifth house.\n6. The person who is a doctor is directly left of the person who prefers city breaks.\n7. The person who likes going on cruises is somewhere to the left of the person whose birthday is in April.\n8. The person whose birthday is in February is the person who loves beach vacations.\n9. Eric is somewhere to the right of Arnold.\n10. The tea drinker is the person who enjoys mountain retreats.\n11. The person who enjoys mountain retreats is not in the second house.\n12. The person whose birthday is in April is not in the second house.\n13. The tea drinker is somewhere to the left of the person who enjoys camping trips.\n14. The person who is an engineer is the person who enjoys camping trips.\n15. The person who is an artist is the person whose birthday is in April.\n16. The person whose birthday is in March is not in the first house.\n17. Arnold is the coffee drinker.\n18. The coffee drinker is the person whose birthday is in February.\n19. The person who is a lawyer is somewhere to the right of the person who is a teacher.\n20. The coffee drinker is not in the second house.\n21. The person whose birthday is in April is the one who only drinks water.\n22. The person whose birthday is in January is the root beer lover.\n\n\nChoices:\n0. april\n1. jan\n2. mar\n3. feb\n4. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - Each person prefers a unique type of vacation: `mountain`, `beach`\n - The people keep unique animals: `cat`, `horse`\n - People have unique favorite music genres: `rock`, `pop`\n\n## Clues:\n1. The person who loves beach vacations is Eric.\n2. The person who loves pop music is the person who loves beach vacations.\n3. The person who loves rock music is the person who loves mystery books.\n4. The cat lover is not in the second house.\n5. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. cat\n1. horse\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique birthday month: `sept`, `april`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n - Each person has a unique level of education: `associate`, `high school`\n\n## Clues:\n1. The person whose birthday is in April is the person's child is named Bella.\n2. The person with an associate's degree is directly left of the person with a high school diploma.\n3. The person with an associate's degree and the person's child is named Fred are next to each other.\n4. Eric is the person with a high school diploma.\n\n\nChoices:\n0. sept\n1. april\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`\n - Each person has a unique type of pet: `cat`, `fish`, `bird`, `dog`\n\n## Clues:\n1. There is one house between Arnold and the person who has a cat.\n2. Alice is the person who has a cat.\n3. The person who owns a dog is in the fourth house.\n4. Alice is not in the first house.\n5. The person who has a cat is somewhere to the left of Eric.\n6. Arnold is the person with an aquarium of fish.\n\n\nChoices:\n0. bird\n1. cat\n2. dog\n3. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - The people keep unique animals: `horse`, `bird`, `cat`\n - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Janelle`\n\n## Clues:\n1. The bird keeper is somewhere to the left of Eric.\n2. The bird keeper is directly left of the Prince smoker.\n3. The person partial to Pall Mall is Arnold.\n4. Eric is not in the third house.\n5. The person partial to Pall Mall is the cat lover.\n6. The person whose mother's name is Aniya is the bird keeper.\n7. The person whose mother's name is Janelle is not in the second house.\n\n\nChoices:\n0. pall mall\n1. prince\n2. blue master\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `painting`, `photography`, `gardening`\n - Each person has a unique birthday month: `april`, `jan`, `sept`, `feb`\n - Each person has a unique level of education: `master`, `bachelor`, `associate`, `high school`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`\n\n## Clues:\n1. The Desert smoothie lover is the person whose birthday is in January.\n2. Eric is the person with a bachelor's degree.\n3. The person whose birthday is in January is the person with a bachelor's degree.\n4. The person with a high school diploma is in the third house.\n5. The Watermelon smoothie lover is not in the third house.\n6. The person with an associate's degree is Arnold.\n7. The person with a master's degree is the person who paints as a hobby.\n8. There is one house between the Dragonfruit smoothie lover and the person whose birthday is in September.\n9. The person with a high school diploma is the person whose birthday is in September.\n10. The person who loves cooking is Alice.\n11. The person whose birthday is in April and the person who enjoys gardening are next to each other.\n12. The person who paints as a hobby is the person whose birthday is in February.\n\n\nChoices:\n0. desert\n1. cherry\n2. watermelon\n3. dragonfruit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a favorite color: `red`, `yellow`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`\n\n## Clues:\n1. Arnold is the person who loves eating grilled cheese.\n2. The person who loves a carnations arrangement is directly left of the person who is a pizza lover.\n3. The person whose favorite color is red is the person who is a pizza lover.\n\n\nChoices:\n0. daffodils\n1. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Bob`, `Peter`, `Arnold`\n - Each person has a unique birthday month: `mar`, `april`, `sept`, `feb`, `jan`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Penny`, `Aniya`\n - Each person has an occupation: `engineer`, `doctor`, `lawyer`, `artist`, `teacher`\n - People have unique hair colors: `red`, `blonde`, `black`, `gray`, `brown`\n\n## Clues:\n1. The person whose birthday is in March is in the fifth house.\n2. The person whose birthday is in February is in the first house.\n3. The person who is a doctor is Eric.\n4. The person whose mother's name is Janelle is in the third house.\n5. The person who is an artist is the person who has brown hair.\n6. The person who is an artist is in the fourth house.\n7. The person whose mother's name is Penny is somewhere to the left of the person who has black hair.\n8. Peter is the person who has black hair.\n9. The person who has gray hair is the person who is a teacher.\n10. Alice is The person whose mother's name is Kailyn.\n11. Arnold is somewhere to the right of the person whose birthday is in September.\n12. The person who has brown hair is the person whose birthday is in January.\n13. Arnold is the person who has blonde hair.\n14. The person whose mother's name is Holly is the person who has black hair.\n15. Peter is the person who is a lawyer.\n16. The person whose birthday is in September is somewhere to the left of The person whose mother's name is Kailyn.\n17. Alice is the person who has gray hair.\n\n\nChoices:\n0. artist\n1. teacher\n2. doctor\n3. engineer\n4. lawyer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the third house.\n2. The person who owns a Toyota Camry is somewhere to the left of Arnold.\n3. The person who owns a Toyota Camry is Peter.\n4. Peter and the person who owns a Tesla Model 3 are next to each other.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `dragonfruit`, `cherry`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`\n - The people are of nationalities: `dane`, `brit`, `norwegian`, `swede`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. There is one house between Alice and the Norwegian.\n3. There are two houses between the person who uses a OnePlus 9 and the person living in a colonial-style house.\n4. The person living in a colonial-style house is the British person.\n5. The person who uses an iPhone 13 is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is the British person.\n7. The person residing in a Victorian house is somewhere to the left of the person who uses a Samsung Galaxy S21.\n8. The Dane is the person who uses a OnePlus 9.\n9. The Desert smoothie lover is not in the second house.\n10. The person who uses an iPhone 13 is the Dragonfruit smoothie lover.\n11. Eric is the Norwegian.\n12. The person who uses a Samsung Galaxy S21 is the person in a Craftsman-style house.\n\n\nChoices:\n0. cherry\n1. watermelon\n2. desert\n3. dragonfruit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`\n - People use unique phone models: `iphone 13`, `oneplus 9`, `google pixel 6`, `samsung galaxy s21`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`, `roses`\n\n## Clues:\n1. The person who uses an iPhone 13 is the person who enjoys mountain retreats.\n2. Arnold is not in the second house.\n3. The person who loves a bouquet of daffodils is directly left of the person who loves a carnations arrangement.\n4. The person who uses a OnePlus 9 is not in the first house.\n5. The person who uses an iPhone 13 is somewhere to the right of Eric.\n6. The person who loves the rose bouquet is the person who uses a Samsung Galaxy S21.\n7. The person who enjoys mountain retreats is in the third house.\n8. The person who loves a carnations arrangement is directly left of the person who loves the boquet of lilies.\n9. The person who prefers city breaks is not in the second house.\n10. The person who uses a OnePlus 9 is Arnold.\n11. The person who prefers city breaks is somewhere to the left of the person who loves the boquet of lilies.\n12. The person who likes going on cruises is Peter.\n\n\nChoices:\n0. daffodils\n1. roses\n2. carnations\n3. lilies\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`\n - Everyone has a unique favorite cigar: `dunhill`, `pall mall`, `prince`, `blue master`\n - Each person has a unique level of education: `associate`, `high school`, `master`, `bachelor`\n - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`, `painting`\n\n## Clues:\n1. The person with a bachelor's degree is the person who enjoys gardening.\n2. Arnold is somewhere to the left of the person who loves a carnations arrangement.\n3. Eric is not in the second house.\n4. The person who loves a bouquet of daffodils is the person who paints as a hobby.\n5. The person who loves the rose bouquet is the person who smokes Blue Master.\n6. The person partial to Pall Mall is Peter.\n7. Arnold is in the third house.\n8. Peter is directly left of the person who enjoys gardening.\n9. Arnold is the person with a high school diploma.\n10. The person who smokes Blue Master is not in the second house.\n11. The Prince smoker is the photography enthusiast.\n12. The person with a master's degree is somewhere to the left of the person who smokes Blue Master.\n\n\nChoices:\n0. photography\n1. painting\n2. gardening\n3. cooking\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Arnold`, `Peter`\n - People have unique hair colors: `red`, `brown`, `black`, `blonde`, `gray`\n - They all have a unique favorite flower: `daffodils`, `carnations`, `tulips`, `roses`, `lilies`\n\n## Clues:\n1. The person who loves the vase of tulips is somewhere to the left of Eric.\n2. Bob and Eric are next to each other.\n3. The person who has black hair and the person who has blonde hair are next to each other.\n4. Arnold is the person who loves the rose bouquet.\n5. Arnold is the person who has blonde hair.\n6. The person who has brown hair is not in the first house.\n7. Arnold is somewhere to the right of the person who loves the boquet of lilies.\n8. The person who has red hair is Eric.\n9. There is one house between the person who loves the boquet of lilies and the person who has brown hair.\n10. Bob is in the third house.\n11. The person who has black hair is not in the third house.\n12. Alice is the person who loves a carnations arrangement.\n\n\nChoices:\n0. Peter\n1. Alice\n2. Eric\n3. Bob\n4. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`\n - Each person has a unique birthday month: `april`, `feb`, `mar`, `jan`, `sept`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`, `dunhill`, `blends`, `blue master`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`, `root beer`\n\n## Clues:\n1. The root beer lover is Eric.\n2. The person partial to Pall Mall is in the third house.\n3. The person whose birthday is in April is Bob.\n4. The Dunhill smoker is the person whose birthday is in March.\n5. Peter is somewhere to the right of the root beer lover.\n6. There is one house between the person whose birthday is in January and Peter.\n7. The person who smokes many unique blends is the person whose birthday is in February.\n8. The person whose birthday is in February is in the second house.\n9. Arnold is directly left of Peter.\n10. The person who likes milk is not in the fifth house.\n11. The person who smokes Blue Master is the coffee drinker.\n12. There is one house between the tea drinker and the coffee drinker.\n13. Eric is in the third house.\n\n\nChoices:\n0. april\n1. mar\n2. jan\n3. feb\n4. sept\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Each person has an occupation: `engineer`, `teacher`, `doctor`\n - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`\n - The mothers' names in different houses are unique: `Aniya`, `Janelle`, `Holly`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. The person who is a doctor is not in the first house.\n2. The Dane is the person who is an engineer.\n3. The person who owns a Tesla Model 3 is the Dane.\n4. The person whose mother's name is Janelle is Peter.\n5. The Swedish person is in the third house.\n6. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Janelle.\n7. Eric is not in the first house.\n8. The British person is the person who owns a Toyota Camry.\n9. The person who is an engineer is The person whose mother's name is Janelle.\n\n\nChoices:\n0. swede\n1. brit\n2. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. The person who uses an iPhone 13 is directly left of the person whose favorite color is red.\n3. Eric is the person who loves a carnations arrangement.\n\n\nChoices:\n0. carnations\n1. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Arnold`\n - They all have a unique favorite flower: `carnations`, `daffodils`, `roses`, `lilies`\n - Each person has a unique type of pet: `dog`, `fish`, `bird`, `cat`\n\n## Clues:\n1. Peter is the person who loves a bouquet of daffodils.\n2. Alice is in the second house.\n3. The person with an aquarium of fish is somewhere to the left of Eric.\n4. The person who loves the rose bouquet is in the second house.\n5. The person with an aquarium of fish is not in the second house.\n6. Peter is the person who keeps a pet bird.\n7. The person who keeps a pet bird is not in the third house.\n8. The person who has a cat is in the fourth house.\n9. The person who loves the boquet of lilies is not in the third house.\n\n\nChoices:\n0. roses\n1. lilies\n2. daffodils\n3. carnations\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Peter`\n - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `swimming`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`, `fantasy`\n\n## Clues:\n1. The person in a Craftsman-style house is somewhere to the left of the person who loves science fiction books.\n2. The person residing in a Victorian house is somewhere to the right of the person living in a colonial-style house.\n3. Eric is somewhere to the left of Arnold.\n4. The person who loves basketball is the person who loves romance books.\n5. The person who loves soccer is somewhere to the right of Arnold.\n6. Alice is the person who loves tennis.\n7. The person who loves science fiction books is the person in a ranch-style home.\n8. The person who loves tennis is somewhere to the left of the person in a Craftsman-style house.\n9. Arnold is directly left of the person who loves mystery books.\n\n\nChoices:\n0. tennis\n1. swimming\n2. basketball\n3. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`\n\n## Clues:\n1. The person who loves rock music is not in the third house.\n2. Eric is the person's child is named Meredith.\n3. Arnold is the person who loves rock music.\n4. Peter is in the first house.\n5. The person who loves pop music is the person's child is named Fred.\n\n\nChoices:\n0. classical\n1. rock\n2. pop\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`\n\n## Clues:\n1. The person who owns a Ford F-150 is not in the second house.\n2. Arnold is directly left of Eric.\n\n\nChoices:\n0. tesla model 3\n1. ford f150\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Arnold`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`\n\n## Clues:\n1. Arnold is in the first house.\n2. Arnold is the person who likes milk.\n3. Eric is the tea drinker.\n4. The person who loves classical music is not in the first house.\n5. The person who loves pop music is directly left of Eric.\n6. The person who loves pop music is in the second house.\n\n\nChoices:\n0. tea\n1. milk\n2. water\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`\n - Each person has a unique favorite drink: `milk`, `root beer`, `coffee`, `tea`, `water`\n - Each person has a favorite color: `blue`, `green`, `white`, `yellow`, `red`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `tulips`, `carnations`\n - Each person has a unique hobby: `painting`, `cooking`, `photography`, `gardening`, `knitting`\n\n## Clues:\n1. Alice is not in the fourth house.\n2. The root beer lover is the person who enjoys gardening.\n3. The person whose favorite color is green is the coffee drinker.\n4. The person whose favorite color is green is the person who loves the boquet of lilies.\n5. The person who loves blue is somewhere to the right of the person who loves a bouquet of daffodils.\n6. The person who loves cooking is the person who loves blue.\n7. Eric is directly left of the tea drinker.\n8. The one who only drinks water is Peter.\n9. Arnold is the photography enthusiast.\n10. The person who loves white is the person who loves the rose bouquet.\n11. There is one house between the person who loves a carnations arrangement and the person whose favorite color is red.\n12. The person who loves cooking is somewhere to the left of the person who paints as a hobby.\n13. The one who only drinks water is in the third house.\n14. The person who loves a carnations arrangement is the root beer lover.\n15. The person who loves white is in the second house.\n\n\nChoices:\n0. Alice\n1. Arnold\n2. Bob\n3. Peter\n4. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Each person has a unique hobby: `cooking`, `photography`, `gardening`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`\n - Everyone has a favorite smoothie: `cherry`, `desert`, `watermelon`\n\n## Clues:\n1. The Desert smoothie lover is the person who enjoys gardening.\n2. The photography enthusiast is the Swedish person.\n3. Peter is somewhere to the left of the Desert smoothie lover.\n4. The person who is a pizza lover is in the third house.\n5. The person who enjoys gardening is the Dane.\n6. There is one house between the person who loves eating grilled cheese and Arnold.\n7. Arnold is the Swedish person.\n8. The Watermelon smoothie lover is somewhere to the left of the person who likes Cherry smoothies.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`, `Bob`\n - The people keep unique animals: `fish`, `dog`, `bird`, `cat`, `horse`\n - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`, `camping`, `cruise`\n - People use unique phone models: `google pixel 6`, `huawei p50`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. Arnold is not in the fifth house.\n3. The person who uses a OnePlus 9 is the person who enjoys mountain retreats.\n4. Bob is the person who loves beach vacations.\n5. The cat lover is in the second house.\n6. There are two houses between the person who uses a Google Pixel 6 and the fish enthusiast.\n7. The person who enjoys camping trips is the person who keeps horses.\n8. The fish enthusiast and the person who enjoys mountain retreats are next to each other.\n9. The dog owner is not in the fifth house.\n10. The fish enthusiast is Alice.\n11. The person who prefers city breaks is the person who uses a Huawei P50.\n12. There are two houses between Arnold and the person who uses a Samsung Galaxy S21.\n13. The person who loves beach vacations is in the third house.\n14. Eric is somewhere to the left of the person who enjoys mountain retreats.\n\n\nChoices:\n0. beach\n1. camping\n2. cruise\n3. city\n4. mountain\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`\n - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`\n - People have unique favorite music genres: `pop`, `rock`, `classical`\n - Each person has a unique favorite drink: `water`, `milk`, `tea`\n\n## Clues:\n1. The person who loves pop music is directly left of the tea drinker.\n2. The person who is a pizza lover is directly left of the person who loves classical music.\n3. Eric is the person who loves classical music.\n4. Arnold is the person who loves pop music.\n5. The person who loves the spaghetti eater is in the third house.\n6. The person who likes milk and Arnold are next to each other.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite music genres: `pop`, `rock`\n\n## Clues:\n1. Eric is the person who loves pop music.\n2. The person who loves rock music is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`, `Bob`\n - People own unique car models: `toyota camry`, `honda civic`, `tesla model 3`, `bmw 3 series`, `ford f150`\n - Everyone has a unique favorite cigar: `dunhill`, `blends`, `prince`, `blue master`, `pall mall`\n\n## Clues:\n1. Alice is the person who owns a Honda Civic.\n2. The person who owns a Ford F-150 is not in the third house.\n3. Alice is the person who smokes many unique blends.\n4. The person who smokes many unique blends is not in the third house.\n5. Alice is not in the second house.\n6. The person who owns a Tesla Model 3 is somewhere to the left of Eric.\n7. Arnold is somewhere to the right of the person who smokes many unique blends.\n8. Arnold is the Dunhill smoker.\n9. Bob is the person who owns a BMW 3 Series.\n10. The person partial to Pall Mall is directly left of the person who smokes many unique blends.\n11. There is one house between the Prince smoker and the person partial to Pall Mall.\n12. The person who owns a Toyota Camry is Arnold.\n\n\nChoices:\n0. Bob\n1. Eric\n2. Peter\n3. Arnold\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - People own unique car models: `ford f150`, `toyota camry`, `tesla model 3`\n - The people are of nationalities: `swede`, `dane`, `brit`\n\n## Clues:\n1. The person who owns a Ford F-150 is somewhere to the right of the Swedish person.\n2. Peter is not in the third house.\n3. The person who owns a Toyota Camry is in the third house.\n4. Eric is the person who owns a Ford F-150.\n5. The British person is not in the third house.\n\n\nChoices:\n0. toyota camry\n1. ford f150\n2. tesla model 3\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a unique hobby: `gardening`, `photography`\n - People have unique favorite book genres: `science fiction`, `mystery`\n - People have unique favorite music genres: `rock`, `pop`\n - Each person has a unique birthday month: `april`, `sept`\n\n## Clues:\n1. The person who loves mystery books is the person who loves rock music.\n2. Arnold is not in the first house.\n3. The person who loves mystery books is the person who enjoys gardening.\n4. The person whose birthday is in April is Arnold.\n5. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each person has a favorite color: `red`, `yellow`\n - People have unique hair colors: `brown`, `black`\n - Each person has a unique level of education: `associate`, `high school`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`\n\n## Clues:\n1. The Prince smoker is directly left of the person with a high school diploma.\n2. The Prince smoker and Arnold are next to each other.\n3. The person whose favorite color is red is Arnold.\n4. The person who has black hair is the Prince smoker.\n\n\nChoices:\n0. Eric\n1. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`\n - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `cooking`, `photography`\n\n## Clues:\n1. The person who enjoys gardening is somewhere to the left of Bob.\n2. Peter is in the second house.\n3. Alice is not in the fourth house.\n4. The person who loves cooking is directly left of the person who enjoys knitting.\n5. The person who enjoys knitting is directly left of Bob.\n6. The person who paints as a hobby is Eric.\n7. Alice is not in the third house.\n\n\nChoices:\n0. cooking\n1. knitting\n2. gardening\n3. photography\n4. painting\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Eric`, `Peter`, `Bob`\n - Everyone has a unique favorite cigar: `blends`, `prince`, `dunhill`, `pall mall`, `blue master`\n\n## Clues:\n1. Alice is not in the fifth house.\n2. The person who smokes Blue Master is not in the fifth house.\n3. There is one house between Eric and the Dunhill smoker.\n4. Bob is somewhere to the left of the person partial to Pall Mall.\n5. Arnold is the Dunhill smoker.\n6. Bob is somewhere to the right of the person who smokes many unique blends.\n7. Alice is not in the first house.\n8. There are two houses between Eric and the person partial to Pall Mall.\n\n\nChoices:\n0. blue master\n1. pall mall\n2. blends\n3. dunhill\n4. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n - People have unique heights: `short`, `very short`, `average`\n\n## Clues:\n1. Peter is the Watermelon smoothie lover.\n2. Eric is the person who has an average height.\n3. The person who has an average height is the person who loves tennis.\n4. The person who loves soccer is the person residing in a Victorian house.\n5. The person who likes Cherry smoothies is in the first house.\n6. The person living in a colonial-style house is in the first house.\n7. Peter is directly left of the person residing in a Victorian house.\n8. The person who is short is Peter.\n\n\nChoices:\n0. tennis\n1. soccer\n2. basketball\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Arnold`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`\n - Each person has a unique type of pet: `fish`, `dog`, `cat`\n\n## Clues:\n1. The person who likes Cherry smoothies is the person with an aquarium of fish.\n2. The person who loves the spaghetti eater is directly left of the person who has a cat.\n3. The person who has a cat is Eric.\n4. The Watermelon smoothie lover is Arnold.\n5. The person who owns a dog is directly left of the person who is a pizza lover.\n6. The Desert smoothie lover is not in the third house.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`\n - Each person has a unique level of education: `high school`, `associate`, `bachelor`, `master`\n\n## Clues:\n1. The coffee drinker is in the first house.\n2. Arnold is in the first house.\n3. Eric is in the second house.\n4. The person with an associate's degree is Peter.\n5. The person with a bachelor's degree is the person who likes milk.\n6. The one who only drinks water is in the fourth house.\n7. Eric is the person with a master's degree.\n\n\nChoices:\n0. high school\n1. master\n2. associate\n3. bachelor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Bob`, `Alice`, `Eric`\n - Everyone has a favorite smoothie: `cherry`, `lime`, `desert`, `dragonfruit`, `watermelon`\n\n## Clues:\n1. The person who drinks Lime smoothies is in the third house.\n2. Arnold is somewhere to the right of the Dragonfruit smoothie lover.\n3. Eric is in the fourth house.\n4. Bob is somewhere to the left of Alice.\n5. Bob is in the third house.\n6. The Watermelon smoothie lover is somewhere to the left of the Desert smoothie lover.\n7. Arnold is the person who likes Cherry smoothies.\n\n\nChoices:\n0. Eric\n1. Bob\n2. Arnold\n3. Peter\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`\n - People own unique car models: `toyota camry`, `tesla model 3`, `bmw 3 series`, `honda civic`, `ford f150`\n - Each person has a favorite color: `blue`, `red`, `green`, `white`, `yellow`\n - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Holly`, `Kailyn`, `Aniya`\n\n## Clues:\n1. The person who owns a Honda Civic is the person who loves yellow.\n2. The person whose favorite color is red is the person who owns a Tesla Model 3.\n3. The person who owns a BMW 3 Series is not in the fourth house.\n4. The person whose mother's name is Aniya is the person who loves blue.\n5. The person whose favorite color is green is Eric.\n6. The person whose favorite color is red is somewhere to the left of the person who owns a Ford F-150.\n7. Alice is directly left of Eric.\n8. The person whose mother's name is Holly is in the first house.\n9. Arnold is the person who loves white.\n10. The person whose mother's name is Janelle is the person who loves white.\n11. The person whose mother's name is Kailyn is Alice.\n12. Arnold is somewhere to the left of Peter.\n13. The person who owns a BMW 3 Series is Eric.\n14. Bob and the person who owns a Ford F-150 are next to each other.\n\n\nChoices:\n0. Aniya\n1. Janelle\n2. Kailyn\n3. Penny\n4. Holly\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`\n - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`\n - Each person has a favorite color: `green`, `red`, `yellow`, `white`\n - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`\n\n## Clues:\n1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.\n2. The person who loves a carnations arrangement is not in the first house.\n3. The person with a master's degree is Alice.\n4. The person with a master's degree is directly left of the person who loves classical music.\n5. Eric is not in the second house.\n6. Arnold is not in the third house.\n7. The person who loves yellow is directly left of the person who loves the rose bouquet.\n8. The person who loves pop music is in the second house.\n9. The person with an associate's degree is not in the fourth house.\n10. The person who loves a carnations arrangement is not in the fourth house.\n11. The person whose favorite color is red is directly left of the person who loves white.\n12. The person whose favorite color is red is the person who loves rock music.\n13. Arnold is the person who loves yellow.\n14. The person who loves a bouquet of daffodils is the person who loves yellow.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Alice\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `watermelon`, `cherry`\n - Each person has a unique hobby: `gardening`, `cooking`, `photography`, `painting`\n\n## Clues:\n1. The Desert smoothie lover is in the second house.\n2. The person who enjoys gardening is not in the fourth house.\n3. The Watermelon smoothie lover is the person who enjoys gardening.\n4. Peter is directly left of the person who paints as a hobby.\n5. The person who enjoys gardening is Eric.\n6. Alice is directly left of Eric.\n7. Alice is somewhere to the right of the photography enthusiast.\n8. The person who likes Cherry smoothies is Peter.\n\n\nChoices:\n0. desert\n1. cherry\n2. watermelon\n3. dragonfruit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`\n - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `craftsman`\n - The people keep unique animals: `cat`, `horse`, `fish`, `bird`\n - Each mother is accompanied by their child: `Meredith`, `Samantha`, `Fred`, `Bella`\n\n## Clues:\n1. The cat lover is not in the third house.\n2. There is one house between the person residing in a Victorian house and the person who loves the stew.\n3. The person residing in a Victorian house and the bird keeper are next to each other.\n4. The person who loves eating grilled cheese is the person in a ranch-style home.\n5. The person who loves the spaghetti eater is Peter.\n6. Alice is the person in a ranch-style home.\n7. The cat lover is Arnold.\n8. The person in a Craftsman-style house is the person's child is named Samantha.\n9. The person's child is named Bella is directly left of the person who loves the spaghetti eater.\n10. The person who is a pizza lover is the person's child is named Fred.\n11. The person who loves eating grilled cheese is in the second house.\n12. The person's child is named Samantha is somewhere to the right of the fish enthusiast.\n\n\nChoices:\n0. craftsman\n1. colonial\n2. ranch\n3. victorian\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Eric`, `Arnold`, `Alice`, `Peter`\n - Each person has a favorite color: `blue`, `green`, `white`, `yellow`, `red`\n - People use unique phone models: `huawei p50`, `samsung galaxy s21`, `oneplus 9`, `iphone 13`, `google pixel 6`\n - Each person has an occupation: `artist`, `teacher`, `doctor`, `engineer`, `lawyer`\n\n## Clues:\n1. The person who is an engineer is somewhere to the right of the person who is a lawyer.\n2. Bob is in the second house.\n3. The person who uses a Samsung Galaxy S21 is the person who is a doctor.\n4. The person who is a doctor is the person who loves blue.\n5. The person whose favorite color is green is not in the fifth house.\n6. The person who is a lawyer is the person who uses a OnePlus 9.\n7. The person who loves blue is directly left of the person whose favorite color is red.\n8. The person who is a lawyer is somewhere to the right of the person who uses a Samsung Galaxy S21.\n9. There is one house between the person who uses a Google Pixel 6 and the person who uses a Huawei P50.\n10. Arnold is the person who is an engineer.\n11. Alice is the person who loves yellow.\n12. The person who uses a Google Pixel 6 is Eric.\n13. The person who uses a Google Pixel 6 is the person who is a teacher.\n14. The person whose favorite color is red is somewhere to the right of the person who is a teacher.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Alice\n3. Peter\n4. Bob\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has a unique favorite drink: `coffee`, `tea`, `milk`, `water`\n - People have unique favorite book genres: `fantasy`, `science fiction`, `mystery`, `romance`\n - People have unique hair colors: `red`, `black`, `blonde`, `brown`\n\n## Clues:\n1. The coffee drinker is the person who has blonde hair.\n2. The person who has brown hair is the person who likes milk.\n3. Arnold is the person who loves fantasy books.\n4. The person who has red hair is in the fourth house.\n5. The person who has red hair is the person who loves science fiction books.\n6. The person who loves romance books is the tea drinker.\n7. The person who has blonde hair is not in the third house.\n8. The tea drinker is directly left of the person who loves mystery books.\n9. The person who has black hair is not in the second house.\n10. The person who loves romance books is somewhere to the left of Eric.\n11. The person who loves fantasy books is somewhere to the left of Peter.\n\n\nChoices:\n0. Eric\n1. Arnold\n2. Peter\n3. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Each mother is accompanied by their child: `Bella`, `Fred`\n\n## Clues:\n1. Eric is directly left of the person's child is named Bella.\n\n\nChoices:\n0. Bella\n1. Fred\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has an occupation: `doctor`, `teacher`, `engineer`, `artist`\n - Each mother is accompanied by their child: `Meredith`, `Fred`, `Bella`, `Samantha`\n - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`\n\n## Clues:\n1. The person who loves the spaghetti eater is directly left of the person who is a teacher.\n2. Arnold is somewhere to the left of the person's child is named Samantha.\n3. The person's child is named Bella is in the first house.\n4. The person who loves the spaghetti eater is directly left of Peter.\n5. The person who loves the stew is Arnold.\n6. The person who is an artist is the person who is a pizza lover.\n7. Arnold is the person who is an engineer.\n8. Alice is the person's child is named Samantha.\n9. The person who is a doctor is not in the first house.\n10. The person's child is named Meredith is not in the fourth house.\n11. Eric is the person's child is named Bella.\n\n\nChoices:\n0. stew\n1. grilled cheese\n2. pizza\n3. spaghetti\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`, `craftsman`\n - Each person has a favorite color: `white`, `yellow`, `green`, `red`\n\n## Clues:\n1. The person who loves yellow is the person residing in a Victorian house.\n2. The person in a ranch-style home and Eric are next to each other.\n3. The person in a ranch-style home is somewhere to the right of the person who loves white.\n4. The person in a ranch-style home is somewhere to the right of Peter.\n5. The person in a ranch-style home is not in the fourth house.\n6. Peter is not in the first house.\n7. Arnold is the person whose favorite color is green.\n8. The person whose favorite color is red is directly left of the person in a ranch-style home.\n9. The person who loves white is the person in a Craftsman-style house.\n\n\nChoices:\n0. victorian\n1. ranch\n2. craftsman\n3. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`\n - The people are of nationalities: `brit`, `dane`, `swede`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Janelle`\n - People have unique favorite sports: `basketball`, `tennis`, `soccer`\n\n## Clues:\n1. The Swedish person is not in the third house.\n2. The person who loves basketball is directly left of the person who loves tennis.\n3. Arnold is the person who loves the boquet of lilies.\n4. The person whose mother's name is Janelle is the Dane.\n5. The person whose mother's name is Holly is the person who loves a carnations arrangement.\n6. The person who loves the boquet of lilies is somewhere to the right of Peter.\n7. The Dane is directly left of the person who loves a carnations arrangement.\n8. Eric is not in the first house.\n9. The person whose mother's name is Janelle is directly left of the person who loves basketball.\n\n\nChoices:\n0. brit\n1. dane\n2. swede\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`\n - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`\n - Each person has a unique favorite drink: `tea`, `coffee`, `milk`, `water`\n - The people are of nationalities: `brit`, `swede`, `dane`, `norwegian`\n\n## Clues:\n1. The person who prefers city breaks is the Swedish person.\n2. The person who likes going on cruises is directly left of the person who loves beach vacations.\n3. Arnold is in the second house.\n4. Arnold is the person who likes milk.\n5. The person who prefers city breaks is not in the fourth house.\n6. The coffee drinker is the Norwegian.\n7. The person who loves beach vacations and Peter are next to each other.\n8. Eric is the one who only drinks water.\n9. The person who loves beach vacations is directly left of the Dane.\n\n\nChoices:\n0. swede\n1. norwegian\n2. dane\n3. brit\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Everyone has something unique for lunch: `spaghetti`, `grilled cheese`, `pizza`\n - Each person has a favorite color: `yellow`, `white`, `red`\n\n## Clues:\n1. The person whose favorite color is red and the person who loves yellow are next to each other.\n2. The person who loves the spaghetti eater is the person who loves yellow.\n3. The person who is a pizza lover and the person whose favorite color is red are next to each other.\n4. Peter is directly left of the person who loves the spaghetti eater.\n5. The person who loves the spaghetti eater is Eric.\n\n\nChoices:\n0. yellow\n1. red\n2. white\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique heights: `very short`, `short`\n - They all have a unique favorite flower: `daffodils`, `carnations`\n - People have unique hair colors: `black`, `brown`\n - Everyone has a unique favorite cigar: `pall mall`, `prince`\n\n## Clues:\n1. The person who loves a bouquet of daffodils is in the first house.\n2. Arnold is the person who is short.\n3. Arnold is not in the second house.\n4. The person who has brown hair is directly left of the person partial to Pall Mall.\n\n\nChoices:\n0. carnations\n1. daffodils\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Bob`, `Arnold`\n - Each person has a unique type of pet: `hamster`, `fish`, `cat`, `dog`, `bird`\n - Each person has an occupation: `doctor`, `engineer`, `artist`, `lawyer`, `teacher`\n - Each person has a favorite color: `green`, `blue`, `yellow`, `red`, `white`\n - The people keep unique animals: `bird`, `cat`, `horse`, `fish`, `dog`\n\n## Clues:\n1. The person who owns a dog is Arnold.\n2. The bird keeper is in the fourth house.\n3. The person who keeps a pet bird is directly left of the dog owner.\n4. The person who loves white is somewhere to the left of the person who is a lawyer.\n5. The person who loves yellow is directly left of the person whose favorite color is green.\n6. The cat lover is Bob.\n7. The cat lover is somewhere to the left of Eric.\n8. The person who keeps horses is in the fifth house.\n9. The person who is a lawyer is directly left of the person who is a teacher.\n10. The person who is a doctor is in the first house.\n11. Alice is the person who loves yellow.\n12. The person who loves blue is directly left of the person with an aquarium of fish.\n13. The person who loves yellow is in the first house.\n14. The person with a pet hamster is the person who is an artist.\n15. Eric is the dog owner.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Bob\n3. Peter\n4. Alice\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Arnold`, `Alice`\n - The people keep unique animals: `dog`, `cat`, `fish`, `horse`, `bird`\n\n## Clues:\n1. The person who keeps horses is in the second house.\n2. Bob is directly left of the bird keeper.\n3. The dog owner is in the fifth house.\n4. The person who keeps horses is somewhere to the left of Arnold.\n5. Eric and the cat lover are next to each other.\n6. The cat lover is directly left of the dog owner.\n7. Peter is in the fifth house.\n\n\nChoices:\n0. bird\n1. horse\n2. cat\n3. fish\n4. dog\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a unique level of education: `associate`, `high school`, `bachelor`\n - Everyone has something unique for lunch: `spaghetti`, `grilled cheese`, `pizza`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n\n## Clues:\n1. The person partial to Pall Mall is in the third house.\n2. The person who smokes Blue Master is not in the second house.\n3. The person with an associate's degree is in the second house.\n4. The person who loves the spaghetti eater is Arnold.\n5. The person who has a cat is the person who is a pizza lover.\n6. The person partial to Pall Mall is somewhere to the right of the person who owns a dog.\n7. Peter is not in the third house.\n8. The person with a bachelor's degree is directly left of Eric.\n9. The person who has a cat is not in the first house.\n\n\nChoices:\n0. spaghetti\n1. grilled cheese\n2. pizza\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has a unique type of pet: `bird`, `cat`, `dog`, `fish`\n - People use unique phone models: `iphone 13`, `google pixel 6`, `oneplus 9`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses a Google Pixel 6 is directly left of the person who has a cat.\n2. Peter is the person who owns a dog.\n3. The person who uses a OnePlus 9 is the person who has a cat.\n4. The person who uses an iPhone 13 is Peter.\n5. There are two houses between the person who uses a Google Pixel 6 and Alice.\n6. The person who keeps a pet bird is somewhere to the left of Eric.\n\n\nChoices:\n0. samsung galaxy s21\n1. oneplus 9\n2. iphone 13\n3. google pixel 6\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n - Each person has a unique type of pet: `cat`, `fish`, `dog`\n - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`\n - The people keep unique animals: `cat`, `bird`, `horse`\n\n## Clues:\n1. The person whose mother's name is Aniya is not in the first house.\n2. The person whose mother's name is Aniya is directly left of The person whose mother's name is Holly.\n3. The person whose mother's name is Janelle is Peter.\n4. The person who loves pop music is directly left of the person who owns a dog.\n5. The person who keeps horses is in the first house.\n6. Peter and the cat lover are next to each other.\n7. Eric is the person who loves rock music.\n8. The person whose mother's name is Janelle and the person who has a cat are next to each other.\n\n\nChoices:\n0. fish\n1. dog\n2. cat\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each mother is accompanied by their child: `Meredith`, `Bella`, `Fred`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`\n\n## Clues:\n1. The person's child is named Fred is Peter.\n2. The person's child is named Fred is not in the second house.\n3. The person's child is named Bella is in the first house.\n4. The person who likes Cherry smoothies is directly left of Peter.\n5. The person who likes Cherry smoothies is Eric.\n6. The Desert smoothie lover is Peter.\n\n\nChoices:\n0. Bella\n1. Meredith\n2. Fred\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People own unique car models: `ford f150`, `tesla model 3`\n - The mothers' names in different houses are unique: `Aniya`, `Holly`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n\n## Clues:\n1. Eric is The person whose mother's name is Aniya.\n2. Eric is not in the second house.\n3. The Desert smoothie lover is directly left of the person who owns a Tesla Model 3.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Alice`, `Arnold`\n - Everyone has a favorite smoothie: `cherry`, `watermelon`, `lime`, `desert`, `dragonfruit`\n - Each person has a unique hobby: `gardening`, `photography`, `painting`, `knitting`, `cooking`\n - Each person has a unique type of pet: `cat`, `fish`, `hamster`, `dog`, `bird`\n\n## Clues:\n1. Bob is somewhere to the right of the photography enthusiast.\n2. Alice is somewhere to the left of the person who loves cooking.\n3. The person who paints as a hobby is the person with a pet hamster.\n4. The person with an aquarium of fish is the person who enjoys knitting.\n5. The person who likes Cherry smoothies is somewhere to the right of the Watermelon smoothie lover.\n6. The person who keeps a pet bird is the person who drinks Lime smoothies.\n7. The photography enthusiast and the person who owns a dog are next to each other.\n8. There are two houses between the person with an aquarium of fish and the Desert smoothie lover.\n9. Alice is the person who owns a dog.\n10. The person who enjoys knitting is not in the fourth house.\n11. Eric is somewhere to the right of Peter.\n12. The Dragonfruit smoothie lover is in the second house.\n13. Arnold is the person who drinks Lime smoothies.\n14. The photography enthusiast is the Dragonfruit smoothie lover.\n\n\nChoices:\n0. knitting\n1. cooking\n2. photography\n3. painting\n4. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "4", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - The people are of nationalities: `brit`, `dane`\n\n## Clues:\n1. The British person is somewhere to the left of the Dane.\n2. Eric is not in the second house.\n\n\nChoices:\n0. Arnold\n1. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Peter`, `Arnold`\n - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`\n - People have unique favorite sports: `soccer`, `tennis`, `basketball`, `swimming`\n - People own unique car models: `tesla model 3`, `toyota camry`, `honda civic`, `ford f150`\n - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`\n\n## Clues:\n1. The person who owns a Tesla Model 3 is the person who loves the rose bouquet.\n2. Peter is the Dragonfruit smoothie lover.\n3. The Desert smoothie lover is the person who owns a Toyota Camry.\n4. The person who loves tennis is in the first house.\n5. The person who owns a Toyota Camry and the person who loves basketball are next to each other.\n6. Arnold is the person who loves basketball.\n7. The person who owns a Honda Civic is the person who loves a bouquet of daffodils.\n8. Eric is the person who loves the rose bouquet.\n9. The Watermelon smoothie lover is not in the first house.\n10. The person who owns a Honda Civic is somewhere to the right of the Desert smoothie lover.\n11. The person who loves basketball is the person who loves the boquet of lilies.\n12. The person who loves tennis and the person who loves soccer are next to each other.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Alice\n3. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`, `Peter`\n - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`\n - Each person has a unique type of pet: `cat`, `dog`, `fish`\n - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`\n\n## Clues:\n1. The person whose mother's name is Aniya is not in the first house.\n2. The person who smokes Blue Master is in the third house.\n3. Peter and the person partial to Pall Mall are next to each other.\n4. The person whose mother's name is Janelle is in the third house.\n5. The person with an aquarium of fish is somewhere to the left of the person who owns a dog.\n6. The person who has a cat is The person whose mother's name is Janelle.\n7. Peter is not in the third house.\n8. The person whose mother's name is Aniya is Arnold.\n\n\nChoices:\n0. Eric\n1. Peter\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`\n - The people are of nationalities: `dane`, `brit`, `swede`\n - Each person has a unique type of pet: `dog`, `fish`, `cat`\n\n## Clues:\n1. The person who owns a dog is directly left of Peter.\n2. Eric is in the second house.\n3. The Dane is the person in a ranch-style home.\n4. The person who owns a dog is the person living in a colonial-style house.\n5. The person who has a cat is the Dane.\n6. The British person is in the third house.\n\n\nChoices:\n0. cat\n1. dog\n2. fish\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - People have unique favorite sports: `basketball`, `soccer`\n - Each mother is accompanied by their child: `Fred`, `Bella`\n - Each person has a unique favorite drink: `tea`, `water`\n - Everyone has something unique for lunch: `pizza`, `grilled cheese`\n\n## Clues:\n1. Arnold is the person who loves basketball.\n2. Eric is the one who only drinks water.\n3. The tea drinker is directly left of the person's child is named Bella.\n4. The person's child is named Fred is the person who loves eating grilled cheese.\n\n\nChoices:\n0. basketball\n1. soccer\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Bob`, `Eric`\n - Each person has a favorite color: `white`, `blue`, `yellow`, `red`, `green`\n - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `prince`, `pall mall`, `blends`\n - People have unique favorite book genres: `biography`, `mystery`, `romance`, `fantasy`, `science fiction`\n\n## Clues:\n1. There are two houses between the Prince smoker and the person who loves yellow.\n2. The person who loves white is Bob.\n3. The person who smokes Blue Master is directly left of Bob.\n4. Alice is somewhere to the left of the person who loves science fiction books.\n5. The person who loves biography books is not in the first house.\n6. Arnold is somewhere to the left of the person who smokes Blue Master.\n7. The person who loves mystery books and the person who loves biography books are next to each other.\n8. The person who loves fantasy books is Bob.\n9. The person whose favorite color is green is the person who smokes Blue Master.\n10. The person partial to Pall Mall is in the fourth house.\n11. The person who loves science fiction books is the Dunhill smoker.\n12. The person whose favorite color is red is not in the fifth house.\n13. Peter is directly left of the Dunhill smoker.\n\n\nChoices:\n0. biography\n1. science fiction\n2. fantasy\n3. romance\n4. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - They all have a unique favorite flower: `roses`, `carnations`, `daffodils`, `lilies`\n - Each person lives in a unique style of house: `victorian`, `craftsman`, `colonial`, `ranch`\n - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blue master`, `pall mall`\n\n## Clues:\n1. The person in a ranch-style home is in the third house.\n2. The person who smokes Blue Master is somewhere to the left of the person residing in a Victorian house.\n3. There are two houses between Eric and the person who loves the rose bouquet.\n4. The Prince smoker is Peter.\n5. The person in a Craftsman-style house is the Dunhill smoker.\n6. The Dunhill smoker is the person who loves a carnations arrangement.\n7. Arnold is in the fourth house.\n8. The Prince smoker is in the second house.\n9. The person who loves the boquet of lilies is the person who smokes Blue Master.\n\n\nChoices:\n0. victorian\n1. craftsman\n2. ranch\n3. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`, `Bob`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `cruise`, `city`, `camping`\n - Each person lives in a unique style of house: `ranch`, `modern`, `craftsman`, `colonial`, `victorian`\n - Each person has a unique level of education: `bachelor`, `doctorate`, `master`, `associate`, `high school`\n - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`\n\n## Clues:\n1. The person whose mother's name is Aniya is the person in a ranch-style home.\n2. The person in a Craftsman-style house is Bob.\n3. The person with a high school diploma is not in the fourth house.\n4. Arnold and the person in a Craftsman-style house are next to each other.\n5. Arnold is The person whose mother's name is Penny.\n6. The person with an associate's degree is somewhere to the left of the person with a master's degree.\n7. Bob and Peter are next to each other.\n8. The person living in a colonial-style house is The person whose mother's name is Penny.\n9. The person whose mother's name is Holly is the person who enjoys camping trips.\n10. The person with a doctorate is the person who prefers city breaks.\n11. The person with a bachelor's degree is The person whose mother's name is Aniya.\n12. The person with an associate's degree is somewhere to the right of Eric.\n13. Arnold is directly left of the person who likes going on cruises.\n14. The person who enjoys camping trips is somewhere to the right of the person residing in a Victorian house.\n15. The person who enjoys mountain retreats is in the first house.\n16. The person whose mother's name is Janelle is the person with an associate's degree.\n17. The person with an associate's degree is directly left of Arnold.\n\n\nChoices:\n0. Kailyn\n1. Aniya\n2. Janelle\n3. Holly\n4. Penny\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`, `romance`, `fantasy`\n - Each person has an occupation: `engineer`, `teacher`, `artist`, `doctor`\n\n## Clues:\n1. Alice is the person who is an engineer.\n2. Eric is not in the second house.\n3. Eric and the person who is a doctor are next to each other.\n4. The person who loves fantasy books is somewhere to the left of Peter.\n5. The person who loves romance books is not in the fourth house.\n6. The person who loves romance books and the person who is a doctor are next to each other.\n7. The person who is a teacher is in the second house.\n8. The person who loves mystery books is in the first house.\n\n\nChoices:\n0. teacher\n1. doctor\n2. engineer\n3. artist\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - People have unique favorite book genres: `mystery`, `science fiction`\n - Each person has a unique birthday month: `sept`, `april`\n - Each person has a favorite color: `red`, `yellow`\n\n## Clues:\n1. Eric is the person whose birthday is in September.\n2. The person whose favorite color is red is somewhere to the left of the person who loves yellow.\n3. Eric is in the second house.\n4. The person who loves mystery books is not in the first house.\n\n\nChoices:\n0. science fiction\n1. mystery\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `cherry`\n - People use unique phone models: `iphone 13`, `samsung galaxy s21`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is the person who likes Cherry smoothies.\n2. Eric is directly left of the Desert smoothie lover.\n\n\nChoices:\n0. iphone 13\n1. samsung galaxy s21\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`\n - Everyone has something unique for lunch: `pizza`, `stew`, `grilled cheese`, `spaghetti`\n - Each person has a unique hobby: `cooking`, `painting`, `photography`, `gardening`\n\n## Clues:\n1. The photography enthusiast is not in the fourth house.\n2. The person who loves the stew is directly left of the person who is a pizza lover.\n3. Arnold is somewhere to the right of the person who paints as a hobby.\n4. Peter is somewhere to the right of the person who loves cooking.\n5. Eric is in the third house.\n6. The person who is a pizza lover is not in the second house.\n7. The person who paints as a hobby is in the second house.\n8. The person who loves eating grilled cheese is in the fourth house.\n\n\nChoices:\n0. photography\n1. painting\n2. cooking\n3. gardening\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Peter`, `Eric`\n - People have unique hair colors: `blonde`, `black`, `gray`, `brown`, `red`\n - They all have a unique favorite flower: `tulips`, `carnations`, `daffodils`, `lilies`, `roses`\n - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`\n\n## Clues:\n1. The person who loves the rose bouquet and the person who loves yellow are next to each other.\n2. The person who loves a carnations arrangement is Peter.\n3. The person who loves the rose bouquet is not in the third house.\n4. The person whose favorite color is green is not in the fifth house.\n5. The person who loves a bouquet of daffodils is Alice.\n6. The person who loves yellow is Eric.\n7. The person who has blonde hair is in the fifth house.\n8. The person who has black hair is directly left of Arnold.\n9. The person who loves yellow is the person who has brown hair.\n10. Alice is the person whose favorite color is green.\n11. The person who has red hair is the person who loves blue.\n12. The person whose favorite color is red is somewhere to the right of the person who loves blue.\n13. The person who has black hair is the person who loves the vase of tulips.\n\n\nChoices:\n0. brown\n1. black\n2. blonde\n3. gray\n4. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite sports: `tennis`, `basketball`, `soccer`\n - People have unique favorite music genres: `classical`, `rock`, `pop`\n\n## Clues:\n1. Arnold is the person who loves classical music.\n2. Arnold is in the third house.\n3. The person who loves tennis is Eric.\n4. Arnold is the person who loves soccer.\n5. The person who loves tennis is directly left of the person who loves rock music.\n\n\nChoices:\n0. Peter\n1. Arnold\n2. Eric\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`\n - The people keep unique animals: `cat`, `fish`, `bird`, `dog`, `horse`\n - Each person has a unique birthday month: `mar`, `jan`, `feb`, `april`, `sept`\n\n## Clues:\n1. The fish enthusiast and Arnold are next to each other.\n2. The person whose birthday is in February is not in the fourth house.\n3. The person who keeps horses is in the fourth house.\n4. The person whose birthday is in March is somewhere to the left of the dog owner.\n5. Peter is the person whose birthday is in September.\n6. The dog owner is not in the fifth house.\n7. The bird keeper is in the third house.\n8. Peter and the person whose birthday is in February are next to each other.\n9. Bob is not in the third house.\n10. The dog owner is somewhere to the right of Alice.\n11. The person whose birthday is in January is the bird keeper.\n\n\nChoices:\n0. fish\n1. cat\n2. dog\n3. horse\n4. bird\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`\n - Each person has a unique level of education: `master`, `high school`, `associate`, `bachelor`\n - The people keep unique animals: `bird`, `horse`, `cat`, `fish`\n - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`\n - Each person has a unique favorite drink: `water`, `tea`, `milk`, `coffee`\n\n## Clues:\n1. Peter is directly left of the fish enthusiast.\n2. The person with a master's degree is in the second house.\n3. The coffee drinker is the person who owns a dog.\n4. Arnold is the person with an associate's degree.\n5. The person with a bachelor's degree is the person who owns a dog.\n6. The one who only drinks water is the bird keeper.\n7. Alice is the person with an aquarium of fish.\n8. The person who keeps horses is in the first house.\n9. The person with a master's degree is the tea drinker.\n10. The person with an associate's degree is the person who keeps a pet bird.\n11. The fish enthusiast is the coffee drinker.\n12. The person with an associate's degree is not in the fourth house.\n13. Eric is not in the fourth house.\n\n\nChoices:\n0. master\n1. associate\n2. bachelor\n3. high school\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`\n - People have unique favorite music genres: `classical`, `rock`, `pop`, `jazz`\n - Each person has a unique level of education: `master`, `associate`, `bachelor`, `high school`\n\n## Clues:\n1. Alice is directly left of the person with a high school diploma.\n2. The person with a master's degree and the person with a high school diploma are next to each other.\n3. Eric is not in the fourth house.\n4. The person who loves pop music is somewhere to the left of the person with a bachelor's degree.\n5. The person who loves rock music is in the second house.\n6. Peter is the person with a high school diploma.\n7. Alice is somewhere to the right of the person who loves jazz music.\n\n\nChoices:\n0. Eric\n1. Alice\n2. Peter\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Arnold`, `Eric`\n - Each person has a favorite color: `white`, `red`, `yellow`\n - People have unique favorite sports: `tennis`, `soccer`, `basketball`\n - Each person prefers a unique type of vacation: `beach`, `mountain`, `city`\n - Everyone has a unique favorite cigar: `blue master`, `pall mall`, `prince`\n\n## Clues:\n1. Eric is the Prince smoker.\n2. The Prince smoker is in the first house.\n3. The person who prefers city breaks is Arnold.\n4. The person whose favorite color is red is in the second house.\n5. Arnold is the person who smokes Blue Master.\n6. The person who enjoys mountain retreats is the person whose favorite color is red.\n7. The person who smokes Blue Master is the person who loves soccer.\n8. The person who loves basketball is the person who loves yellow.\n\n\nChoices:\n0. pall mall\n1. blue master\n2. prince\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`\n - Each person has a unique level of education: `high school`, `bachelor`, `associate`, `master`\n - People have unique favorite book genres: `romance`, `science fiction`, `mystery`, `fantasy`\n\n## Clues:\n1. The person who loves mystery books is the person with a high school diploma.\n2. The person who loves science fiction books is Alice.\n3. The person with a master's degree is directly left of the person who loves mystery books.\n4. The person with a master's degree is in the first house.\n5. The person with a bachelor's degree is not in the third house.\n6. Peter is directly left of the person who loves romance books.\n7. The person who loves romance books is directly left of Arnold.\n\n\nChoices:\n0. Arnold\n1. Eric\n2. Alice\n3. Peter\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`\n - Everyone has a favorite smoothie: `desert`, `watermelon`, `dragonfruit`, `cherry`\n - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`\n - The people are of nationalities: `dane`, `brit`, `norwegian`, `swede`\n - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `oneplus 9`\n\n## Clues:\n1. The person who uses a Samsung Galaxy S21 is Arnold.\n2. There is one house between Alice and the Norwegian.\n3. There are two houses between the person who uses a OnePlus 9 and the person living in a colonial-style house.\n4. The person living in a colonial-style house is the British person.\n5. The person who uses an iPhone 13 is somewhere to the right of Alice.\n6. The Watermelon smoothie lover is the British person.\n7. The person residing in a Victorian house is somewhere to the left of the person who uses a Samsung Galaxy S21.\n8. The Dane is the person who uses a OnePlus 9.\n9. The Desert smoothie lover is not in the second house.\n10. The person who uses an iPhone 13 is the Dragonfruit smoothie lover.\n11. Eric is the Norwegian.\n12. The person who uses a Samsung Galaxy S21 is the person in a Craftsman-style house.\n\n\nChoices:\n0. craftsman\n1. victorian\n2. ranch\n3. colonial\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - People have unique hair colors: `brown`, `blonde`, `red`, `black`\n - People have unique heights: `short`, `average`, `tall`, `very short`\n - Each person has a favorite color: `green`, `yellow`, `white`, `red`\n\n## Clues:\n1. Eric is the person who has an average height.\n2. The person whose favorite color is red is the person who is tall.\n3. The person whose favorite color is green is somewhere to the left of Peter.\n4. Arnold is in the fourth house.\n5. The person who has an average height is not in the first house.\n6. The person who is very short is in the fourth house.\n7. The person who loves white is the person who has black hair.\n8. The person who is tall is directly left of the person who has brown hair.\n9. The person who has blonde hair is the person who has an average height.\n\n\nChoices:\n0. white\n1. green\n2. yellow\n3. red\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - Everyone has something unique for lunch: `spaghetti`, `grilled cheese`, `pizza`\n - Each person has a favorite color: `yellow`, `white`, `red`\n\n## Clues:\n1. The person whose favorite color is red and the person who loves yellow are next to each other.\n2. The person who loves the spaghetti eater is the person who loves yellow.\n3. The person who is a pizza lover and the person whose favorite color is red are next to each other.\n4. Peter is directly left of the person who loves the spaghetti eater.\n5. The person who loves the spaghetti eater is Eric.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Peter`, `Eric`\n - People have unique favorite book genres: `romance`, `mystery`, `science fiction`\n - Each person has a unique birthday month: `sept`, `april`, `jan`\n - The people are of nationalities: `brit`, `dane`, `swede`\n\n## Clues:\n1. Arnold is the person who loves mystery books.\n2. Peter is directly left of the person who loves romance books.\n3. Peter is somewhere to the left of the person who loves mystery books.\n4. The person whose birthday is in April is somewhere to the right of the person whose birthday is in January.\n5. The person whose birthday is in September is the Swedish person.\n6. The Dane is in the third house.\n7. The person who loves science fiction books is the person whose birthday is in September.\n\n\nChoices:\n0. swede\n1. brit\n2. dane\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "0", "dataset": "MATH"}
{"messages": [{"content": "There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Arnold`, `Eric`\n - Each person has an occupation: `doctor`, `engineer`\n - Each person lives in a unique style of house: `colonial`, `victorian`\n - The people keep unique animals: `cat`, `horse`\n\n## Clues:\n1. Arnold is the person who is an engineer.\n2. The person who is an engineer is the person who keeps horses.\n3. The person residing in a Victorian house is the cat lover.\n4. The person residing in a Victorian house is in the second house.\n\n\nChoices:\n0. engineer\n1. doctor\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}
{"messages": [{"content": "There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Bob`, `Arnold`\n - People have unique favorite book genres: `mystery`, `fantasy`, `biography`, `science fiction`, `romance`\n - Each person prefers a unique type of vacation: `mountain`, `camping`, `city`, `beach`, `cruise`\n - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Penny`, `Aniya`\n\n## Clues:\n1. Bob is the person who loves fantasy books.\n2. The person whose mother's name is Janelle and Eric are next to each other.\n3. The person who enjoys camping trips is the person who loves biography books.\n4. Peter is The person whose mother's name is Kailyn.\n5. Peter and The person whose mother's name is Janelle are next to each other.\n6. The person who loves beach vacations is Bob.\n7. Peter is somewhere to the right of the person who loves romance books.\n8. The person whose mother's name is Penny is the person who loves biography books.\n9. Bob is directly left of the person who prefers city breaks.\n10. The person who loves science fiction books is in the fourth house.\n11. Arnold and Bob are next to each other.\n12. The person whose mother's name is Aniya is the person who enjoys mountain retreats.\n\n\nChoices:\n0. science fiction\n1. biography\n2. fantasy\n3. mystery\n4. romance\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "3", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`\n - People have unique hair colors: `blonde`, `black`, `brown`, `red`\n - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`\n\n## Clues:\n1. Eric is the person who has red hair.\n2. The person who loves classical music is directly left of the person who has blonde hair.\n3. The person who has brown hair is not in the first house.\n4. The person who loves pop music is not in the third house.\n5. The person who loves classical music is in the first house.\n6. The person who loves jazz music is the person who has red hair.\n7. The person who loves rock music is Arnold.\n8. Peter is somewhere to the right of the person who loves rock music.\n\n\nChoices:\n0. Peter\n1. Eric\n2. Alice\n3. Arnold\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "2", "dataset": "MATH"}
{"messages": [{"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:\n - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`\n - People have unique favorite sports: `soccer`, `basketball`, `tennis`, `swimming`\n - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`\n\n## Clues:\n1. The person who loves tennis is the person who enjoys mountain retreats.\n2. Eric is the person who loves beach vacations.\n3. The person who loves beach vacations is in the fourth house.\n4. Alice is the person who loves tennis.\n5. The person who loves swimming is somewhere to the left of the person who enjoys mountain retreats.\n6. Peter is not in the first house.\n7. The person who loves basketball is in the third house.\n8. The person who likes going on cruises is Arnold.\n\n\nChoices:\n0. basketball\n1. soccer\n2. tennis\n3. swimming\n\nWhen answering, please specify the number corresponding to the correct choice, instead of the choice itself.\n\nPresent the answer in LaTex format: \\boxed{Your answer}", "role": "user"}], "ground_truth": "1", "dataset": "MATH"}