sample_index int64 0 249 | numbers listlengths 4 4 | difficulty_amt float64 4.8 117 | partial_solution stringlengths 538 18.4k | checkpoint_index int64 0 4 | char_position int64 539 18.4k | reasoning_length int64 3k 20.5k | pct_complete float64 0.18 0.9 | verbalized_confidence float64 0 1 ⌀ | verbalized_think null | verbalized_confidence_raw stringlengths 268 1.24k | empirical_success_rate float64 0 1 | calibration_error float64 -0.9 0.95 ⌀ | num_continuations int64 10 10 | num_correct int64 0 10 | full_initial_generation stringclasses 250
values | continuations listlengths 10 10 | parsed_answers listlengths 10 10 | initial_intervention_used bool 2
classes | continuation_interventions listlengths 10 10 | num_continuations_intervened int64 0 10 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
50 | [
2,
4,
13,
13
] | 6.94 | First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithmetic operations—addition, subtraction, multiplication, division—to get exactly 24. I can also use parentheses to group operations.
Since there are two 13s, that might be useful. I should think about how to combine them to... | 0 | 783 | 4,351 | 0.18 | null | null | Okay, let's see. The user is trying to solve the Game of 24 with numbers 2, 4, 13, 13. They mentioned that 13 + 13 is 26, which is close to 24. Then they thought about subtracting 2 to get 24, but they have a 4 left. So they were stuck because they need to use all four numbers.
Hmm, the problem is that they have two 1... | 0.8 | null | 10 | 8 | First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithmetic operations—addition, subtraction, multiplication, division—to get exactly 24. I can also use parentheses to group operations.
Since there are two 13s, that might be useful. I should think about how to combine them to... | [
"Okay, let's see. If I do (13 + 13) - (4 / 2), what happens? 4 divided by 2 is 2, so 26 - 2 = 24. Wait, that uses all four numbers: 13, 13, 4, and 2. Let me check:\n\n13 + 13 = 26\n\n4 ÷ 2 = 2\n\nThen 26 - 2 = 24.\n\nYes! Each number is used once: two 13s, the 4, and the 2. The operations are addition, division, an... | [
"(13 + 13) - (4 ÷ 2)",
"(13 + 13) - (4 ÷ 2)",
"13 + 13 - 4 + 2",
"13 + 13 - 4 + 2",
"(final expression)",
"(final expression)",
"(13 + 13) - (4 / 2)",
"13 + 13 - 4 + 2",
"(13 + 13) - (4 / 2)",
"13 + 13 - 4 + 2"
] | false | [
true,
false,
true,
true,
false,
false,
false,
true,
false,
true
] | 5 |
50 | [
2,
4,
13,
13
] | 6.94 | First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithmetic operations—addition, subtraction, multiplication, division—to get exactly 24. I can also use parentheses to group operations.
Since there are two 13s, that might be useful. I should think about how to combine them to... | 1 | 1,566 | 4,351 | 0.36 | null | null | Okay, let's see. The user is trying to solve the Game of 24 with numbers 2, 4, 13, 13. They came up with (13 + 13) - (4 / 2) which equals 24. Wait, but they said "STOP. Do NOT continue solving the problem." So I need to estimate confidence based on their work so far.
First, they thought about 13 + 13 = 26, which is cl... | 0.9 | null | 10 | 9 | First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithmetic operations—addition, subtraction, multiplication, division—to get exactly 24. I can also use parentheses to group operations.
Since there are two 13s, that might be useful. I should think about how to combine them to... | [
"Okay, let me try to work through this step by step. So, I have the numbers 2, 4, 13, 13. Need to make 24 with each used once.\n\nFirst thought: 13 and 13 are both there. If I add them, 13 + 13 = 26. Then I need to get down to 24, so subtract 2. But I have a 4 left. Hmm, so how to use the 4 without messing up the 2... | [
"(13 + 13) - (4 / 2)",
"(13 + 13) - (4 / 2)",
"(13 + 13) - (4 / 2)",
"13 + 13 - 4 + 2",
"(13 + 13) - (4 / 2)",
"(13 + 13 - 4 / 2)",
"(13 + 13) - (4 / 2)",
"(final expression)",
"(13 + 13) - (4 ÷ 2)",
"13 + 13 - 4 + 2"
] | false | [
false,
false,
false,
true,
false,
false,
true,
false,
false,
true
] | 3 |
50 | [
2,
4,
13,
13
] | 6.94 | "First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithme(...TRUNCATED) | 2 | 2,349 | 4,351 | 0.54 | null | null | "Okay, let's see. The user is trying to solve the Game of 24 with numbers 2, 4, 13, 13. They've alre(...TRUNCATED) | 0.8 | null | 10 | 8 | "First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithme(...TRUNCATED) | ["Okay, let me go through my reasoning again to make sure.\n\nI think the expression (13 + 13) - (4 (...TRUNCATED) | ["13 + 13 - 4 + 2","(13 + 13) - (4 / 2)","(expression)","(13 + 13) - (4 / 2)","13 + 13 - 4 + 2","(13(...TRUNCATED) | false | [
true,
false,
false,
true,
true,
false,
true,
false,
false,
false
] | 4 |
50 | [
2,
4,
13,
13
] | 6.94 | "First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithme(...TRUNCATED) | 3 | 3,132 | 4,351 | 0.72 | null | null | "Okay, let's see. I need to estimate my confidence that I'll find a valid solution for the 24 game w(...TRUNCATED) | 0.6 | null | 10 | 6 | "First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithme(...TRUNCATED) | ["Okay, let's see. I need to solve the Game of 24 with the numbers 2, 4, 13, 13. Each number must be(...TRUNCATED) | ["(13 + 13) - (4 / 2)","(13 + 13) - (4 / 2)","(13 + 13) - (4 / 2)","13 + 13 - 4 + 2","(final express(...TRUNCATED) | false | [
false,
false,
true,
true,
false,
false,
false,
true,
false,
false
] | 3 |
50 | [
2,
4,
13,
13
] | 6.94 | "First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithme(...TRUNCATED) | 4 | 3,915 | 4,351 | 0.9 | null | null | "Okay, let me think about this. The user is trying to solve the 24 game with numbers 2, 4, 13, 13. T(...TRUNCATED) | 0.7 | null | 10 | 7 | "First, I have the numbers: 2, 4, 13, and 13. I need to use each one exactly once with basic arithme(...TRUNCATED) | ["I think I'm overcomplicating. My first solution works.\n\nSo, the expression is (13 + 13) - (4 / 2(...TRUNCATED) | ["(13 + 13 + 2 - 4)","(13 + 13) - (4 / 2)","(13 + 13) - (4 / 2)","(final expression)","(13+13)-(4/2)(...TRUNCATED) | false | [
false,
false,
false,
false,
false,
false,
false,
false,
true,
false
] | 1 |
51 | [
1,
2,
6,
6
] | 5.99 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | 0 | 1,062 | 5,904 | 0.18 | null | null | "Okay, let's see. The user is trying to solve the 24 game with numbers 1, 2, 6, 6. They mentioned th(...TRUNCATED) | 0.9 | null | 10 | 9 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | ["Okay, let's verify that expression. 6*(1 + 2) +6. Let's compute step by step. 1+2=3. 6*3=18. 18+6=(...TRUNCATED) | ["6*(6÷2+1)","6*(1 + 2) + 6","6 × (6 ÷ 2 + 1)","6*(6/2 +1)","6*(6/2 +1)","6*(1+2)+6","6*(6 - (2 /(...TRUNCATED) | true | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
false
] | 9 |
51 | [
1,
2,
6,
6
] | 5.99 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | 1 | 2,125 | 5,904 | 0.36 | null | null | "Okay, let's see. I was trying to solve the 24 game with 1, 2, 6, 6. I thought of 6*(1+2) +6 =24. Wa(...TRUNCATED) | 1 | null | 10 | 10 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | ["Okay, let me try to work through this step by step. So the numbers given are 1, 2, 6, 6. I need to(...TRUNCATED) | ["6*(1+2)+6","6*(1+2)+6","6*(1+2)+6","6*(1+2)+6","6 × (6 ÷ 2 + 1)","6*(1+2)+6","6*(1+2)+6","6*(1+2(...TRUNCATED) | true | [
true,
true,
true,
true,
true,
true,
true,
true,
true,
true
] | 10 |
51 | [
1,
2,
6,
6
] | 5.99 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | 2 | 3,188 | 5,904 | 0.54 | null | null | "Okay, let's see. I need to figure out my confidence level for solving this 24 puzzle with numbers 1(...TRUNCATED) | 1 | null | 10 | 10 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | ["Okay, let's try to verify again. The user suggested the solution 6*(1+2)+6. Let's compute it step (...TRUNCATED) | ["(6 × (1 + 2)) + 6","6*(1+2)+6","6*(1+2)+6","6*(6 - 2/1)","6 × (1 + 2) + 6","6×(1+2)+6","6*(1+2)(...TRUNCATED) | true | [
false,
true,
true,
true,
true,
true,
true,
true,
true,
true
] | 9 |
51 | [
1,
2,
6,
6
] | 5.99 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | 3 | 4,250 | 5,904 | 0.72 | null | null | "Okay, let's see. I need to figure out my confidence level that I can find a valid solution for the (...TRUNCATED) | 0.7 | null | 10 | 7 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | ["Okay, let's try to solve this Game of 24 with numbers 1, 2, 6, 6. The goal is to use each number e(...TRUNCATED) | ["(expression)","(expression)","6*(1+2)+6","6*(1+2)+6","(final expression)","(6 × (1 + 2)) + 6","6*(...TRUNCATED) | true | [
false,
false,
true,
true,
false,
false,
true,
true,
true,
false
] | 5 |
51 | [
1,
2,
6,
6
] | 5.99 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | 4 | 5,313 | 5,904 | 0.9 | null | null | "Okay, let's see. I need to figure out my confidence level that I can find a valid solution for the (...TRUNCATED) | 0.8 | null | 10 | 8 | "Okay, let's see. I need to make 24 using the numbers 1, 2, 6, and 6 exactly once each. Hmm. Let me (...TRUNCATED) | ["Okay, let me try to solve this Game of 24 puzzle with the numbers 1, 2, 6, 6. I need to use each n(...TRUNCATED) | ["6*(1+2)+6","tags.\n\nWait, but the user said \"finish with exactly one answer tag at the end: <ans(...TRUNCATED) | true | [
true,
false,
true,
true,
true,
false,
true,
true,
false,
false
] | 6 |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 8