id
stringlengths 26
43
| setting_key
stringclasses 14
values | setting_name
stringclasses 1
value | messages
listlengths 1
1
| ground_truth
stringclasses 99
values | dataset
stringclasses 1
value |
|---|---|---|---|---|---|
logic_zebralogic_train_0986
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
0
|
math
|
logic_zebralogic_train_0987
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
1
|
math
|
logic_zebralogic_train_0988
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied 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."
}
] |
3
|
math
|
logic_zebralogic_train_0989
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied 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."
}
] |
3
|
math
|
logic_zebralogic_train_0990
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
0
|
math
|
logic_zebralogic_train_0991
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is 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."
}
] |
1
|
math
|
logic_zebralogic_train_0992
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is 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."
}
] |
2
|
math
|
logic_zebralogic_train_0993
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is 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."
}
] |
2
|
math
|
logic_zebralogic_train_0994
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
2
|
math
|
logic_zebralogic_train_0995
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
0
|
math
|
logic_zebralogic_train_0996
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
1
|
math
|
logic_zebralogic_train_0997
|
logic_zebralogic
| null |
[
{
"role": "user",
"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."
}
] |
3
|
math
|
logic_zebralogic_train_0998
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied 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."
}
] |
2
|
math
|
logic_zebralogic_train_0999
|
logic_zebralogic
| null |
[
{
"role": "user",
"content": "There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is 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."
}
] |
1
|
math
|
numbertheory_lte_qr_train_0008
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(1) is divisible by p^4. Find the least positive integer m such that m^4+(1) is divisible by p^4."
}
] |
20051
|
math
|
numbertheory_lte_qr_train_0211
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(1) is divisible by p^3. Find the least positive integer m such that m^4+(1) is divisible by p^3."
}
] |
399
|
math
|
numbertheory_lte_qr_train_0227
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(-1) is divisible by p^6. Find the least positive integer m such that m^4+(-1) is divisible by p^6."
}
] |
1
|
math
|
numbertheory_lte_qr_train_0520
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(-1) is divisible by p^5. Find the least positive integer m such that m^4+(-1) is divisible by p^5."
}
] |
1
|
math
|
numbertheory_lte_qr_train_0692
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(1) is divisible by p^2. Find the least positive integer m such that m^4+(1) is divisible by p^2."
}
] |
110
|
math
|
numbertheory_lte_qr_train_0859
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(-1) is divisible by p^2. Find the least positive integer m such that m^4+(-1) is divisible by p^2."
}
] |
1
|
math
|
numbertheory_lte_qr_train_0874
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(1) is divisible by p^5. Find the least positive integer m such that m^4+(1) is divisible by p^5."
}
] |
146991
|
math
|
numbertheory_lte_qr_train_0949
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(-1) is divisible by p^4. Find the least positive integer m such that m^4+(-1) is divisible by p^4."
}
] |
1
|
math
|
numbertheory_lte_qr_train_1002
|
numbertheory_lte_qr
| null |
[
{
"role": "user",
"content": "Let p be the least prime number for which there exists a positive integer n such that n^4+(-1) is divisible by p^3. Find the least positive integer m such that m^4+(-1) is divisible by p^3."
}
] |
1
|
math
|
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