question string | solution string | eval_prompt string | eval_internal_cot string | eval_solution string | raw_eval_prompt string | judge_correct bool | judge_reasoning string | measurement_type string | measurement_prompt string | row_id int64 | measurement_answer_verification_final_count int64 | measurement_answer_verification_reasoning string | measurement_answer_verification_metadata sequence | measurement_answer_verification_raw_response string | measurement_step_verification_final_count int64 | measurement_step_verification_reasoning string | measurement_step_verification_metadata sequence | measurement_step_verification_raw_response string | measurement_reasoning_deliberation_final_count int64 | measurement_reasoning_deliberation_reasoning string | measurement_reasoning_deliberation_metadata sequence | measurement_reasoning_deliberation_raw_response string |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | 2893883677558701 | What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | Okay, so I need to multiply 97,511,989 by 29,677,209. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that for large numbers, breaking them down into smaller parts can make the multiplication easier. Maybe using the distributive property, like splitting each number i... | To solve the long multiplication equation \(97,511,989 \times 29,677,209\), we can break down each number into smaller parts and use the distributive property. Here are the key steps:
1. **Break down the numbers:**
- \(97,511,989 = 97,000,000 + 511,989\)
- \(29,677,209 = 29,000,000 + 677,209\)
2. **Use the dist... | What is the solution to the long multiplication equation below?
97511989 x 29677209
Think step by step. | true | The solution provided correctly follows the steps of multiplication using the distributive property, and the final result matches the ground truth solution. | answer_verification | How many times does the following reasoning trace propose a final answer then verify it or double check it? Provide a number that shows how many times the model proposed the final answer (double checking the final answer means you are proposing a final answer). It may repeat the final answer (verification) or derive a... | 0 | 3 | <thinking>To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
The... | [
"2893883677558701",
"2893883677558701",
"2893883677558701"
] | <thinking>To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
The... | 8 | <thinking>
Let's step through the reasoning trace to count how many times the model verifies an intermediate computation or reasoning step, excluding any full-problem re-evaluation or final answer re-check.
We are looking specifically for instances where the model:
- Does a sub-computation,
- Doubts or thinks it made ... | [
"97 x 29 = 2813 = 97 x 29",
"97 x 677,209 = 65,689,273 = 97 x 677,209",
"511,989 x 29 = 14,847,681 = 511,989 x 29",
"11,989 x 77,209 = 839,230,000 + 86,428,701 = 925,658,701",
"300,000,000,000 + 38,604,500,000 + 7,193,400,000 + 925,658,701 = 346,723,558,701",
"2,813,000,000,000,000 + 65,689,273,000,000 + ... | <thinking>
Let's step through the reasoning trace to count how many times the model verifies an intermediate computation or reasoning step, excluding any full-problem re-evaluation or final answer re-check.
We are looking specifically for instances where the model:
- Does a sub-computation,
- Doubts or thinks it made ... | 3 | <thinking>
To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current... | [] | <thinking>
To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current... |
What is the solution to the long multiplication equation below?
39634656 x 65995812
Think step by step. | 2615721306060672 | What is the solution to the long multiplication equation below?
39634656 x 65995812
Think step by step. | Okay, so I need to multiply these two big numbers: 39,634,656 and 65,995,812. Hmm, that's a huge multiplication problem. Let me think about how to approach this. I remember that multiplying large numbers can be done by breaking them down into smaller parts, maybe using the distributive property. But doing this manually... | To solve the long multiplication equation \(39,634,656 \times 65,995,812\), we can break down the problem using the distributive property and verify the result through multiple methods.
1. **Approximation and Adjustment**:
- Recognize that \(65,995,812\) is close to \(66,000,000\).
- Express \(65,995,812\) as \... | What is the solution to the long multiplication equation below?
39634656 x 65995812
Think step by step. | true | The solution provided accurately follows the steps for long multiplication using the distributive property, and the final result matches the ground truth solution exactly. | answer_verification | How many times does the following reasoning trace propose a final answer then verify it or double check it? Provide a number that shows how many times the model proposed the final answer (double checking the final answer means you are proposing a final answer). It may repeat the final answer (verification) or derive a... | 1 | 3 | <thinking>
To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
1.... | [
"2615722305060672",
"2615721306060672",
"2615721306060672"
] | <thinking>
To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
1.... | 3 | Let's step through the reasoning trace to count how many times the model verifies an intermediate computation or reasoning step, excluding any full-problem re-evaluation or final answer re-check.
We are looking specifically for instances where the model makes a sub-computation, doubts or checks it, and re-performs or ... | [
"Subtraction of large numbers with borrowing",
"Verification via decomposition of subtraction with borrowing",
"Recalculation via long multiplication partial sums"
] | Let's step through the reasoning trace to count how many times the model verifies an intermediate computation or reasoning step, excluding any full-problem re-evaluation or final answer re-check.
We are looking specifically for instances where the model makes a sub-computation, doubts or checks it, and re-performs or ... | 9 | <thinking>
To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current... | [] | <thinking>
To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current... |
What is the solution to the long multiplication equation below?
24755057 x 57601784
Think step by step. | 1425935446221688 | What is the solution to the long multiplication equation below?
24755057 x 57601784
Think step by step. | Okay, so I need to multiply 24,755,057 by 57,601,784. Hmm, that's a pretty big multiplication problem. Let me think about how to approach this. I remember that for large numbers, breaking them down into smaller parts might help. Maybe using the distributive property? Like, split each number into parts that are easier t... | To solve the long multiplication equation \(24755057 \times 57601784\), we can break down each number into smaller parts and use the distributive property \((a + b)(c + d) = ac + ad + bc + bd\).
1. **Split the numbers:**
- \(24755057 = 24000000 + 755057\)
- \(57601784 = 57000000 + 601784\)
2. **Compute each par... | What is the solution to the long multiplication equation below?
24755057 x 57601784
Think step by step. | true | The provided solution accurately follows the steps of long multiplication, correctly applying the distributive property to break down the numbers into manageable parts. Each calculation of the constituent parts is correct, leading to an accurate final sum that matches the ground truth solution. | answer_verification | How many times does the following reasoning trace propose a final answer then verify it or double check it? Provide a number that shows how many times the model proposed the final answer (double checking the final answer means you are proposing a final answer). It may repeat the final answer (verification) or derive a... | 2 | 3 | <thinking>To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
1. ... | [
"1425935446221688",
"1425935446221688",
"1425935446221688"
] | <thinking>To determine how many times the model proposed a final answer, we look for each point in the reasoning trace where the model either:
Explicitly computes and presents a final result,
Restates or confirms that same result,
Attempts to verify it using an alternative method.
Let’s step through the trace.
1. ... | null | null | null | null | 3 | <thinking>To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current ... | [] | <thinking>To answer your question—how many times does the model verify its higher-level reasoning (i.e., deliberates on whether the step or path it's currently pursuing is appropriate before either continuing or switching)—we need to identify all moments in the reasoning trace where:
- The model questions its current ... |
"What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | 1807926358268490 | "What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 53,563,670 by 33,752,847. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "The solution to the long multiplication equation \\(53,\\!563,\\!670 \\times 33,\\!752,\\!847\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n53563670 x 33752847\n\nThink ste(...TRUNCATED) | true | "The solution provided correctly follows a detailed breakdown of the long multiplication process, ac(...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 3 | 2 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"1,807,926,358,268,490",
"1,807,926,358,268,490"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 12 | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | ["50,000,000 × 3,000,000 + 50,000,000 × 700,000 = 150,000,000,000,000 + 35,000,000,000,000 = 185,0(...TRUNCATED) | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | 6 | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) | [] | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | 2131258424531005 | "What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 81,471,995 by 26,159,399. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "The solution to the long multiplication equation \\(81471995 \\times 26159399\\) is calculated by b(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n81471995 x 26159399\n\nThink ste(...TRUNCATED) | true | "The original solution accurately follows the long multiplication process and performs the arithmeti(...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 4 | 4 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"2,131,258,424,531,005",
"2,131,258,424,531,005",
"2,131,258,424,531,005",
"2,131,258,424,531,005"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 10 | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | ["Checked sum splitting 81,471,995","Checked sum splitting 26,159,399","Recounted zeros in 80,000,00(...TRUNCATED) | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | 4 | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) | [] | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | 4793021943780105 | "What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply these two big numbers: 82,669,731 and 57,977,955. Hmm, that's a pretty (...TRUNCATED) | "To solve the long multiplication equation \\(82669731 \\times 57977955\\), we can break down the mu(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n82669731 x 57977955\n\nThink ste(...TRUNCATED) | false | "The solution provided for the multiplication of 82669731 by 57977955 is incorrect as it yields a fi(...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 5 | 1 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"4845103874310105"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 12 | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | ["Divisibility check by 3 with multiplication verify","Divisibility check by 3 with stepwise divisio(...TRUNCATED) | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | 10 | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | [] | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | 3624133473241632 | "What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 60,460,452 by 59,942,216. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(60460452 \\times 59942216\\), we can break down the nu(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n60460452 x 59942216\n\nThink ste(...TRUNCATED) | true | "The calculated result of the long multiplication of 60460452 and 59942216 as described matches the (...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 6 | 4 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"3624133473241632",
"3624133473241632",
"3624133473241632",
"3624133473241632"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 3 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["Verification of first term multiplication using scientific notation","Verification of sum of parti(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | 4 | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | [] | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | 6979191570169590 | "What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 78,270,826 by 89,167,215. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "The solution to the long multiplication equation \\(78,\\!270,\\!826 \\times 89,\\!167,\\!215\\) is(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n78270826 x 89167215\n\nThink ste(...TRUNCATED) | true | "The solution provided correctly follows the steps of long multiplication using the distributive pro(...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 7 | 2 | "<thinking> \nTo determine how many times the model proposed a final answer, we look for each point(...TRUNCATED) | [
"6,979,191,570,169,590",
"6,979,191,570,169,590"
] | "<thinking> \nTo determine how many times the model proposed a final answer, we look for each point(...TRUNCATED) | 5 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["Verification of a*c multiplication","Verification of a*d multiplication","Verification of b*d mult(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | 4 | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) | [] | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | 1123675425142248 | "What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 58,191,452 by 19,309,974. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(58,191,452 \\times 19,309,974\\), we can use the Karat(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n58191452 x 19309974\n\nThink ste(...TRUNCATED) | true | "The solution correctly applies the Karatsuba algorithm and correctly calculates the final product, (...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 8 | 4 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"1123675425142248",
"1123675425142248",
"1123675425142248",
"1123675425142248"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 7 | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | ["Verified addition: 581,914,520,000,000 + 523,723,068,000,000 = 1,105,637,588,000,000","Verified ad(...TRUNCATED) | "Let's step through the reasoning trace to count how many times the model verifies an intermediate c(...TRUNCATED) | 10 | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) | [] | "<thinking>To answer your question—how many times does the model verify its higher-level reasoning(...TRUNCATED) |
"What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | 4404498549603600 | "What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | "Okay, so I need to multiply 91,914,600 by 47,919,466. Hmm, that's a pretty big multiplication probl(...TRUNCATED) | "To solve the long multiplication equation \\(91,914,600 \\times 47,919,466\\), we can break down th(...TRUNCATED) | "What is the solution to the long multiplication equation below?\n\n91914600 x 47919466\n\nThink ste(...TRUNCATED) | true | "The solution correctly applies the distributive property and accurately calculates each individual (...TRUNCATED) | answer_verification | "How many times does the following reasoning trace propose a final answer then verify it or double c(...TRUNCATED) | 9 | 3 | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | [
"4404498549603600",
"4404498549603600",
"4404498549603600"
] | "<thinking>To determine how many times the model proposed a final answer, we look for each point in (...TRUNCATED) | 2 | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | ["823140000000 + 17803603600 = 840943603600","4277000000000000 + 83671406000000 + 42986200000000 + 8(...TRUNCATED) | "<thinking>\nLet's step through the reasoning trace to count how many times the model verifies an in(...TRUNCATED) | 6 | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) | [] | "<thinking>\nTo answer your question—how many times does the model verify its higher-level reasoni(...TRUNCATED) |
End of preview. Expand in Data Studio
README.md exists but content is empty.
- Downloads last month
- 11