doc_id int64 | doc dict | target string | arguments dict | resps sequence | filtered_resps sequence | doc_hash string | prompt_hash string | target_hash string | exact_match int64 | extracted_answers sequence | source_file string | model_name string | measurement_answer_verification_reasoning string | measurement_answer_verification_final_count int64 | measurement_answer_verification_metadata sequence | measurement_answer_verification_raw_response string | metadata_answers_correct sequence | metadata_answers_correct_judge_data list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0 | {
"answer": "6956",
"args": [
"74",
"94"
],
"is_model_response_correct": [
true,
true,
true,
true,
true,
true
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step about... | 6956 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n94 x 74\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\( 94 \\times 74 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n 94 & \\times 74 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 94 by 4 (the units digit of 74... | [
"To solve the long multiplication equation \\( 94 \\times 74 \\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c}\n 94 & \\times 74 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 94 by 4 (the units digit of 74):**\n... | 3506920013cb62a6063a9cafecd1e30d93ef201299844c139689e60654805de5 | 95bbc2cb45309aa5d9c1587d3aae09db449d9e60fa67b1df723146901666a85f | 5edcf3b4d5f63d095b027a02182f2783e2bcdb36e2d8210617364fcce9da2df1 | 0 | [
"6616"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | 1. The first proposal of a final answer is found in the statement: "The final result is 6616." This counts as the first proposal. 2. The next verification occurs when the model states: "Wait, how? I thought that I couldn't just change it to 6416 because of the carry-over." This indicates a need to verify the previous a... | 4 | [
"6616",
"6616",
"6616",
"6616"
] | [
false,
false,
false,
false
] | [
{
"correct": false,
"reasoning": "To verify the multiplication of 94 and 74, we can break it down step by step:\n\n1. Multiply 94 by 4 (the units digit of 74):\n - 94 x 4 = 376\n\n2. Multiply 94 by 7 (the tens digit of 74), remembering to shift one position to the left (which is equivalent to multiplying ... | |
1 | {
"answer": "1271",
"args": [
"31",
"41"
],
"is_model_response_correct": [
true,
true,
true,
true,
true,
true
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step about... | 1271 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n31 x 41\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(31 \\times 41\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\n1. **Distribute the numbers:**\n \\[\n 31 \\times 41 = 31 \\times (40 + 1)\n \\]\n\n2. **Apply the distributive property:**\n \... | [
"To solve the long multiplication equation \\(31 \\times 41\\), we can break it down into simpler steps by using the distributive property of multiplication over addition.\n\n1. **Distribute the numbers:**\n \\[\n 31 \\times 41 = 31 \\times (40 + 1)\n \\]\n\n2. **Apply the distributive property:**\n \\[\n ... | a03e77b4cb35931279477ff67396bc4a30dd956e4376ed814c5f139dabb56ad7 | 8ccb2b6f30da4efcddbed56c09a1595fb49ccf928c02535a6102acad362a5369 | efbd1f26a54875e39972ccf7fa21a34f2491c850b2eba9636cb5478e595897b5 | 1 | [
"1271"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the long multiplication equation 31 x 41 is \(\boxed{1271}\)." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"1271"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 31 and 41, we can break it down step by step:\n\n1. Multiply 31 by 1 (the units digit of 41):\n 31 x 1 = 31\n\n2. Multiply 31 by 4 (the tens digit of 41), remembering to shift one position to the left (add a zero):\n 31 x 4 = 124, which be... | |
2 | {
"answer": "1271",
"args": [
"31",
"41"
],
"is_model_response_correct": [
false,
false,
true,
false,
true,
false
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step a... | 1271 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n41 x 31\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps by using the distributive property of multiplication over addition. Here's how we do it:\n\n1. Write down the numbers and align them vertically:\n \\[\n \\begin{array}{r}\n 41 \\\\\n \\times 31 \\\\... | [
"To solve the long multiplication equation \\(41 \\times 31\\), we can break it down into simpler steps by using the distributive property of multiplication over addition. Here's how we do it:\n\n1. Write down the numbers and align them vertically:\n \\[\n \\begin{array}{r}\n 41 \\\\\n \\times 31 \\\\\n \... | 9a95e2b6f770ad1cddc0aa76c9beb5950853c9798bc4d80e3f181e6ecf6fd8fd | 83963bc97deb94d50fa072fa21434d6a74eb6ddb6d3ab2d720629c492c0529c1 | efbd1f26a54875e39972ccf7fa21a34f2491c850b2eba9636cb5478e595897b5 | 1 | [
"1271"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the long multiplication equation 41 x 31 is 1271." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"1271"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 41 and 31, we can break it down step by step:\n\n1. Multiply 41 by 1 (the units digit of 31):\n 41 x 1 = 41\n\n2. Multiply 41 by 3 (the tens digit of 31), remembering to shift one position to the left (which is equivalent to multiplying by 3... | |
3 | {
"answer": "3072",
"args": [
"48",
"64"
],
"is_model_response_correct": [
false,
true,
false,
true,
false,
false
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step a... | 3072 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(48 \\times 64\\), we will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 48 by 4 (the units digit of 64):**\n \\[\n 48 \\times 4 = 192\n \\]\n\n2. **Multiply 48 by 6 (the tens digit of 64, which is 60) an... | [
"To solve the long multiplication equation \\(48 \\times 64\\), we will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 48 by 4 (the units digit of 64):**\n \\[\n 48 \\times 4 = 192\n \\]\n\n2. **Multiply 48 by 6 (the tens digit of 64, which is 60) and shif... | e94a268416eba9204077a4688b5c7a1c98b71008bf6bfbee08af69f977ba8d4d | 3e1a83ac555f8f02c464e007ce67804d680f398c1ab871c272c6c03f431d591b | 82147211de4c4b846e2cf7a2edac668990dff673d07bebcb2c9eae6aeb2c5963 | 1 | [
"3072"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the long multiplication equation 48 x 64 is \(\boxed{3072}\)." This is a clear proposal of the final answer, which counts as one instance. There are no subsequent verifications or additional proposals in the trace, so the total count remains 1. | 1 | [
"3072"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 48 and 64, we can break it down step by step:\n\n1. First, we can multiply 48 by 64 directly:\n - 48 x 64 = 3072.\n\n2. We can also verify this by breaking it down further:\n - 48 can be expressed as (40 + 8).\n - Therefore, 48 x 64 = (4... | |
4 | {
"answer": "3072",
"args": [
"48",
"64"
],
"is_model_response_correct": [
false,
true,
true,
true,
false,
false
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step ab... | 3072 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n48 x 64\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(48 \\times 64\\), we will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 48 by 4 (the units digit of 64):**\n \\[\n 48 \\times 4 = 192\n \\]\n\n2. **Multiply 48 by 6 (the tens digit of 64, which is 60) an... | [
"To solve the long multiplication equation \\(48 \\times 64\\), we will follow the standard algorithm for multiplication. Let's break it down step by step:\n\n1. **Multiply 48 by 4 (the units digit of 64):**\n \\[\n 48 \\times 4 = 192\n \\]\n\n2. **Multiply 48 by 6 (the tens digit of 64, which is 60) and shif... | 505329ab00a3c8d1267202bf0a03ebc9ca63b3e9656552959bcdedf7c17958b3 | 3e1a83ac555f8f02c464e007ce67804d680f398c1ab871c272c6c03f431d591b | 82147211de4c4b846e2cf7a2edac668990dff673d07bebcb2c9eae6aeb2c5963 | 1 | [
"3072"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the long multiplication equation 48 x 64 is \(\boxed{3072}\)." This is a clear proposal of the final answer, which counts as one instance. There are no subsequent verifications or additional proposals in the trace, so the total count remains 1. | 1 | [
"3072"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the solution, we can perform the long multiplication of 48 and 64 step by step:\n\n1. Multiply 48 by 4 (the units digit of 64):\n - 48 x 4 = 192\n\n2. Multiply 48 by 6 (the tens digit of 64), remembering to shift one position to the left (add a zero):\n - 48 x ... | |
5 | {
"answer": "4554",
"args": [
"66",
"69"
],
"is_model_response_correct": [
true,
true,
true,
true,
true,
true
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step about... | 4554 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n69 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\( 69 \\times 66 \\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Multiply 69 by 6 (the units digit of 66):**\n \\[\n 69 \\times 6 = 414\n \\]\n\n2. **Multiply 69 by 60 (the tens digit of 66, which is 60):*... | [
"To solve the long multiplication equation \\( 69 \\times 66 \\), we will follow the standard long multiplication method. Let's break it down step by step:\n\n1. **Multiply 69 by 6 (the units digit of 66):**\n \\[\n 69 \\times 6 = 414\n \\]\n\n2. **Multiply 69 by 60 (the tens digit of 66, which is 60):**\n ... | e0638cb89d49ee49ea55a3ad9ca7ddd6170637d72a47920527a3953f355edb16 | d28934273dc1d0c80c02161e1d0758e36d4c7f9797250ca7b1d5b70647a66931 | c59ba22287efed2c760a4823f839d75e55aca4cde59995e7f0ca4a69719c66ba | 1 | [
"4554"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the long multiplication equation 69 x 66 is \(\boxed{4554}\)." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"4554"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 69 and 66, we can break it down step by step:\n\n1. Multiply 69 by 6 (the units digit of 66):\n - 69 x 6 = 414\n\n2. Multiply 69 by 60 (the tens digit of 66, which is 6, but we treat it as 60):\n - 69 x 60 = 4140\n\n3. Now, add the two res... | |
6 | {
"answer": "754",
"args": [
"13",
"58"
],
"is_model_response_correct": [
false,
false,
false,
true,
true,
false
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step ab... | 754 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n58 x 13\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(58 \\times 13\\), we can break it down into simpler steps:\n\n1. **Multiplication Step-by-Step:**\n - First, multiply 58 by 3 (the ones digit of 13).\n \\[\n 58 \\times 3 = 174\n \\]\n - Next, multiply 58 by the tens digit of 13, which is 1 (since ... | [
"To solve the long multiplication equation \\(58 \\times 13\\), we can break it down into simpler steps:\n\n1. **Multiplication Step-by-Step:**\n - First, multiply 58 by 3 (the ones digit of 13).\n \\[\n 58 \\times 3 = 174\n \\]\n - Next, multiply 58 by the tens digit of 13, which is 1 (since we are... | 5fc73e50e37f3dcb77f1e8e2170849fa0336d721bd4b6487a563d3eac4cebd59 | 4e86266d260333c3af59ac66444dfd29717e2bd7b0cc3d89046a466c2f33c2e5 | 4099ed5ba70aebc5a9dc26bc2093d4b45839f99b306bd12f68cedfd351e6ab7a | 1 | [
"754"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the final answer to the equation 58 x 13 is \boxed{754}." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"754"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 58 and 13, we can break it down step by step:\n\n1. Multiply 58 by 3 (the units digit of 13):\n - 58 x 3 = 174\n\n2. Multiply 58 by 1 (the tens digit of 13), remembering to shift one position to the left (which is equivalent to multiplying b... | |
7 | {
"answer": "1600",
"args": [
"20",
"80"
],
"is_model_response_correct": [
true,
true,
true,
true,
true,
true
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step about... | 1600 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n20 x 80\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(20 \\times 80\\), we can break it down into simpler steps:\n\n1. **Multiply the digits without considering the zeros initially**: First, calculate \\(2 \\times 8 = 16\\).\n2. **Account for the added zero**: Since there are two zeros in the original problem (one af... | [
"To solve the long multiplication equation \\(20 \\times 80\\), we can break it down into simpler steps:\n\n1. **Multiply the digits without considering the zeros initially**: First, calculate \\(2 \\times 8 = 16\\).\n2. **Account for the added zero**: Since there are two zeros in the original problem (one after th... | a946c053b5814fe447c15bac4fed4d05c7c2b1e5cbb263f4a51773c4a9f70fa4 | 9e646a8b4c51eaa86581a9a5b906310525b28ff12e232d6b8b819c89eebcaaa6 | b458944d9ec4322f9ff0de2885ce82d580341fcf0fd688422e9929b6e7ce3b2d | 1 | [
"1600"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer when it states, "Hence, the solution is \(\boxed{1600}\)." This is a clear conclusion to the problem, providing the final answer to the multiplication equation. There are no subsequent verifications or additional proposals in the trace, so the total count remains 1. | 1 | [
"1600"
] | [
true
] | [
{
"correct": true,
"reasoning": "To solve the multiplication of 20 and 80, we can break it down as follows: \n\n1. Multiply 20 by 8 (the tens digit of 80): \n 20 x 8 = 160 \n\n2. Since 80 is actually 80 (which is 8 times 10), we need to multiply the result by 10: \n 160 x 10 = 1600 \n\nThus, the final r... | |
8 | {
"answer": "1600",
"args": [
"20",
"80"
],
"is_model_response_correct": [
false,
true,
true,
false,
true,
true
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step abo... | 1600 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n80 x 20\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(80 \\times 20\\), we can break it down into simpler steps:\n\n1. **Multiply 80 by 2:**\n - \\(80 \\times 2 = 160\\)\n\n2. **Multiply 80 by 20:**\n - This is the same as \\(80 \\times 20\\), which we have already calculated to be \\(1600\\).\n\nSo, the value of... | [
"To solve the long multiplication equation \\(80 \\times 20\\), we can break it down into simpler steps:\n\n1. **Multiply 80 by 2:**\n - \\(80 \\times 2 = 160\\)\n\n2. **Multiply 80 by 20:**\n - This is the same as \\(80 \\times 20\\), which we have already calculated to be \\(1600\\).\n\nSo, the value of \\(80... | 6c0c2141d0596c6b716f334e6d9389e84f36d5bfd594a7e05106023c1c7629f2 | 769affaff23cc62360da1bf80dbf8c073928ed7126e00b224fc1dd797d1daab8 | b458944d9ec4322f9ff0de2885ce82d580341fcf0fd688422e9929b6e7ce3b2d | 1 | [
"1600"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer when it states, "Therefore, the answer is \(\boxed{1600}\)." This is a clear conclusion of the calculation, indicating that the final answer to the multiplication problem is 1600. There are no subsequent verifications or additional proposals in the trace, so the total count remains 1. | 1 | [
"1600"
] | [
true
] | [
{
"correct": true,
"reasoning": "To solve the multiplication of 80 and 20, we can break it down as follows: \n\n1. Multiply 80 by 2 (the units digit of 20): \n 80 x 2 = 160 \n\n2. Since 20 is actually 2 with a zero (10), we need to multiply the result by 10: \n 160 x 10 = 1600 \n\nThus, the final result... | |
9 | {
"answer": "6402",
"args": [
"66",
"97"
],
"is_model_response_correct": [
true,
false,
false,
false,
false,
false
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step ... | 6402 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n66 x 97\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(66 \\times 97\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 66 \\\\\n \\times & 97 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 66 by 7 (the un... | [
"To solve the long multiplication equation \\(66 \\times 97\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{c@{}c@{}c}\n & 66 \\\\\n \\times & 97 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 66 by 7 (the units di... | b43bff8d81e370fb280925fb8f883017a4d175622c585e1d1bd31ecab26d9860 | 1d590e22b4f1b80d92c57241abfa679ebc1ef7b2f823cd5087239b40eafadb5c | e50271b2ab1592e4586f4435ccc103a76f80498eb9cb86fbb4e95a0ee54ddc4e | 1 | [
"6402"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | 1. The first proposal is when the model states, "So, the solution to the long multiplication equation 66 x 97 is \(\boxed{6402}\)." This counts as a proposal of a final answer. 2. The second proposal is when the model reaffirms, "So, the solution is indeed \(\boxed{6402}\)." This is a confirmation of the previous answe... | 5 | [
"6402",
"6402",
"6402",
"6402",
"6402"
] | [
true,
true,
true,
true,
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 66 and 97, we can break it down step by step:\n\n1. Multiply 66 by 7 (the units digit of 97):\n - 66 x 7 = 462\n\n2. Multiply 66 by 90 (the tens digit of 97, which is 9, but we treat it as 90):\n - 66 x 90 = 5940\n\n3. Now, add the two res... | |
10 | {
"answer": "6402",
"args": [
"66",
"97"
],
"is_model_response_correct": [
false,
false,
false,
true,
false,
false
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step ... | 6402 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n97 x 66\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\( 97 \\times 66 \\), we will follow these steps:\n\n1. **Break down the numbers into smaller parts:**\n \\[\n 97 = 90 + 7\n \\]\n \\[\n 66 = 60 + 6\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n \\[\n 90 ... | [
"To solve the long multiplication equation \\( 97 \\times 66 \\), we will follow these steps:\n\n1. **Break down the numbers into smaller parts:**\n \\[\n 97 = 90 + 7\n \\]\n \\[\n 66 = 60 + 6\n \\]\n\n2. **Multiply each part of the first number by each part of the second number:**\n \\[\n 90 \\time... | 9ae6ae7342b63f662df6d684fd52b96636dd9d162b71eb6833f3fe387b170d96 | b721ccd0a77e28628bf0ed6a3ff00a3d3ac77c36b4089db72ed388a9154f2fa0 | e50271b2ab1592e4586f4435ccc103a76f80498eb9cb86fbb4e95a0ee54ddc4e | 1 | [
"6402"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: 'So, the solution to the long multiplication equation 97 x 66 is: \[\boxed{6402}\]'. This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"6402"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 97 and 66, we can break it down step by step:\n\n1. Multiply 97 by 6 (the units digit of 66):\n - 97 x 6 = 582\n\n2. Multiply 97 by 60 (the tens digit of 66, which is 6, but we treat it as 60):\n - 97 x 60 = 5820\n\n3. Now, add the two res... | |
11 | {
"answer": "2925",
"args": [
"45",
"65"
],
"is_model_response_correct": [
true,
true,
true,
true,
true,
true
],
"is_model_response_correct__correctness_prompt": [
"You are given a question, a solution, and a model output. For the current output, reason step by step about... | 2925 | {
"gen_args_0": {
"arg_0": "<|im_start|>system\nYou are Qwen, created by Alibaba Cloud. You are a helpful assistant.<|im_end|>\n<|im_start|>user\nWhat is the solution to the long multiplication equation below?\n\n45 x 65\n\nThink step by step.<|im_end|>\n<|im_start|>assistant\n",
"arg_1": {
"do_sample":... | [
[
"To solve the long multiplication equation \\(45 \\times 65\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 45 \\\\\n \\times 65 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 45 by 5 (the units digit of... | [
"To solve the long multiplication equation \\(45 \\times 65\\), we will follow the standard long multiplication method. Here are the steps:\n\n1. **Set up the multiplication:**\n \\[\n \\begin{array}{r}\n 45 \\\\\n \\times 65 \\\\\n \\end{array}\n \\]\n\n2. **Multiply 45 by 5 (the units digit of 65):*... | 989070c832f5d116f20a8a3a7c9f2b2a48b9cb5f2c3e59e3d70a42ea51eed31f | 1307d88afe9d3df98959bf95d20c6e7dd70ca5d16d7c2c14329f5de286ccb44f | f0e3bd92f157f9b73ede82834286e7cea4044134b39d92ac3ee7e56392194241 | 1 | [
"2925"
] | samples_longmult_2dig_2025-05-29T00-14-42.478454.jsonl | gpt-4o-mini | The trace proposes a final answer at the end: "So, the solution to the long multiplication equation 45 x 65 is \(\boxed{2925}\)." This is a clear proposal of the final answer, which counts as one instance. | 1 | [
"2925"
] | [
true
] | [
{
"correct": true,
"reasoning": "To verify the multiplication of 45 and 65, we can break it down step by step:\n\n1. Multiply 45 by 5 (the units digit of 65):\n 45 x 5 = 225\n\n2. Multiply 45 by 6 (the tens digit of 65), remembering to add a zero since it's in the tens place:\n 45 x 6 = 270, and then ad... |
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