question stringclasses 51
values | steps sequencelengths 1 12 | final_step_reward float64 0 1 | metadata dict |
|---|---|---|---|
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to calculate how many countr... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to calculate how many countr... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Now, we calculate the number o... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Now, we calculate the number o... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to find out how many countri... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to find out how many countri... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three times the number of countries Joseph traveled to. So, ... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three times the number of countries Joseph traveled to. So, ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the total number of countries Patrick traveled to.\nSince Patrick traveled ... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the total number of countries Patrick traveled to.\nSince Patrick traveled ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we use the information that Patrick ... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we use the information that Patrick ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three times the number of countries Joseph traveled to. So, ... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three times the number of countries Joseph traveled to. So, ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Then, we calculate the number ... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Then, we calculate the number ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to find out how many countri... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to find out how many countri... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Since Zack traveled to twice t... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Since Zack traveled to twice t... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three times the number of countries Joseph traveled to. Sinc... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three times the number of countries Joseph traveled to. Sinc... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nSince Patrick traveled to thr... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nSince Patrick traveled to thr... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Since Zack traveled to twice t... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we calculate the number of countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, so Joseph traveled to 6 / 2 = 3 countries.",
"Since Zack traveled to twice t... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the number of countries Patrick traveled to.\nPatrick traveled to three tim... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrol traveled to three times the number of countries Joseph traveled to. So, P... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to.\nPatrol traveled to three times the number of countries Joseph traveled to. So, P... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the total number of countries Patrick traveled to.\nSince Patrick traveled ... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the total number of countries Patrick traveled to.\nSince Patrick traveled ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to calculate how many countr... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to calculate how many countr... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we use the information that Patrick ... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we use the information that Patrick ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to based on Joseph's travel.\nPatrick traveled to three times the number of countries... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to based on Joseph's travel.\nPatrick traveled to three times the number of countries... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries."
] | 0.5 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 2,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to calculate how many countr... | 0.75 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 3,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries.",
"Next, we need to find out how many countries Joseph traveled to.\nJoseph traveled to half the number of countries George traveled to, which is 6 / 2 = 3 countries.",
"Now, we need to calculate how many countr... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 4,
"step_number": 4,
"raw_path_length": 6
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the total number of countries Patrick traveled to.\nSince Patrick traveled ... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGiven that Joseph traveled to half the number of countries George traveled to, and George traveled 6 countries, we can find Joseph's travel count as 6 / 2 = 3 countries.",
"Calculate the total number of countries Patrick traveled to.\nSince Patrick traveled ... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to based on Joseph's travel.\nPatrick traveled to three times the number of countries... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to based on Joseph's travel.\nPatrick traveled to three times the number of countries... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries."
] | 0.333333 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 1,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to based on Joseph's travel.\nPatrick traveled to three times the number of countries... | 0.666667 | {
"is_complete": false,
"is_correct": true,
"path_length": 3,
"step_number": 2,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"Calculate the number of countries Joseph traveled to.\nGeorge traveled to 6 countries, and Joseph traveled to half that number. So, Joseph traveled to $6 / 2 = 3$ countries.",
"Calculate the number of countries Patrick traveled to based on Joseph's travel.\nPatrick traveled to three times the number of countries... | 1 | {
"is_complete": true,
"is_correct": true,
"path_length": 3,
"step_number": 3,
"raw_path_length": 5
} |
Zack has traveled to twice the number of countries Patrick traveled to. Patrick traveled to three times the number of countries Joseph traveled to. Joseph traveled to half the number of countries George traveled to. If George traveled to 6 countries, how many countries did Zack travel to? | [
"First, let's calculate the number of countries George traveled to.\nGeorge traveled to 6 countries."
] | 0.25 | {
"is_complete": false,
"is_correct": true,
"path_length": 4,
"step_number": 1,
"raw_path_length": 6
} |
End of preview. Expand in Data Studio
No dataset card yet
- Downloads last month
- 3